%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV801-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:22:06 EDT 2022
% Result : Unsatisfiable 156.15s 156.42s
% Output : CNFRefutation 156.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 583
% Syntax : Number of formulae : 4079 (1339 unt; 0 def)
% Number of atoms : 9035 (2003 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 9588 (4632 ~;4956 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-4 aty)
% Number of functors : 67 ( 67 usr; 24 con; 0-4 aty)
% Number of variables : 13174 (1782 sgn5358 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X66,X57,X61,X1,X32,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OAgent(X2)))))))),X66,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X66,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X61,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oused(X66),tc_Message_Omsg)
| ~ c_in(X66,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_ONS2_0) ).
fof(c_0_1,axiom,
! [X66,X57,X61,X1,X32,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OAgent(X2)))))))),X66,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X66,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X61,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oused(X66),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X66) ),
file('<stdin>',cls_ns__sharedp_ONS2_0) ).
fof(c_0_2,axiom,
! [X25,X57,X16,X1,X2] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X16,X57,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_secrecy__lemma_0) ).
fof(c_0_3,axiom,
! [X25,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_B__trusts__NS5__lemma_0) ).
fof(c_0_4,axiom,
! [X25,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X2,X1,X16,X25),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_B__trusts__NS3_0) ).
fof(c_0_5,axiom,
! [X25,X46,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X16,X46,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X46,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X46,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_analz__image__freshK_0) ).
fof(c_0_6,axiom,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X6 = X41
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_unique__session__keys_3) ).
fof(c_0_7,axiom,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X1 = X63
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_unique__session__keys_2) ).
fof(c_0_8,axiom,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X57 = X77
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_unique__session__keys_1) ).
fof(c_0_9,axiom,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X2 = X32
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_unique__session__keys_0) ).
fof(c_0_10,axiom,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('<stdin>',cls_analz__image__freshK__lemma_1) ).
fof(c_0_11,axiom,
! [X25,X46,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X46,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_lessequals(X46,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_analz__image__freshK_2) ).
fof(c_0_12,axiom,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('<stdin>',cls_analz__image__freshK__lemma_0) ).
fof(c_0_13,axiom,
! [X25,X46,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X46,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X46,tc_nat)
| ~ c_lessequals(X46,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_analz__image__freshK_1) ).
fof(c_0_14,axiom,
! [X64,X6,X58,X57,X16,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),hAPP(c_Message_Omsg_OKey,X16)))),X64,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X64,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_OOops_0) ).
fof(c_0_15,axiom,
! [X25,X6,X57,X31,X16,X1,X2] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X16,X57,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Spy__not__see__encrypted__key_0) ).
fof(c_0_16,axiom,
! [X62,X6,X60,X58,X57,X16,X63,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),X62,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X63,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(X62,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_ONS5_0) ).
fof(c_0_17,axiom,
! [X64,X6,X58,X57,X16,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),hAPP(c_Message_Omsg_OKey,X16)))),X64,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X64) ),
file('<stdin>',cls_ns__sharedp_OOops_0) ).
fof(c_0_18,axiom,
! [X62,X6,X60,X58,X57,X16,X63,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),X62,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X63,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X62) ),
file('<stdin>',cls_ns__sharedp_ONS5_0) ).
fof(c_0_19,axiom,
! [X59,X6,X60,X57,X16,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X59,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OServer
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_ONS3_0) ).
fof(c_0_20,axiom,
! [X25,X6,X60,X57,X16,X1,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__S__message__form_0) ).
fof(c_0_21,axiom,
! [X59,X6,X60,X57,X16,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X59,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OServer
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X59) ),
file('<stdin>',cls_ns__sharedp_ONS3_0) ).
fof(c_0_22,axiom,
! [X25,X6,X42,X31,X16,X1,X2] :
( ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__Server__message__form_0) ).
fof(c_0_23,axiom,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X1,X6,X25),X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_NS4__implies__NS3_0) ).
fof(c_0_24,axiom,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_A__trusts__NS4__lemma_0) ).
fof(c_0_25,axiom,
! [X25,X6,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_A__trusts__NS2_0) ).
fof(c_0_26,axiom,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X16,X57,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_A__trusts__NS4_0) ).
fof(c_0_27,axiom,
! [X25,X6,X60,X57,X16,X1,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__S__message__form_1) ).
fof(c_0_28,axiom,
! [X25,X6,X42,X31,X16,X1,X2] :
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__Server__message__form_1) ).
fof(c_0_29,axiom,
! [X25,X6,X42,X31,X16,X1,X2] :
( X31 = hAPP(c_Public_OshrK,X2)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__Server__message__form_2) ).
fof(c_0_30,axiom,
! [X25,X6,X57,X16,X1,X2] :
( ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_cert__A__form_0) ).
fof(c_0_31,axiom,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__image__freshK__lemma_4) ).
fof(c_0_32,axiom,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat) ),
file('<stdin>',cls_analz__image__freshK__lemma_3) ).
fof(c_0_33,axiom,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__image__freshK__lemma_5) ).
fof(c_0_34,axiom,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat)
| ~ c_in(X16,X40,tc_nat) ),
file('<stdin>',cls_analz__image__freshK__lemma_2) ).
fof(c_0_35,axiom,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),X25)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_A__authenticates__and__keydist__to__B_0) ).
fof(c_0_36,axiom,
! [X25,X58,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X16,X25),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X16,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_B__trusts__NS5_0) ).
fof(c_0_37,axiom,
! [X10,X2,X11,X3] :
( c_lessequals(c_Set_Oimage(X10,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X11),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X10,X2,X3,X11),tc_fun(X11,tc_bool)),tc_fun(X11,tc_bool))
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__image__Compl__subset_0) ).
fof(c_0_38,axiom,
! [X10,X1,X2,X11,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X10,X2,X3,X11),c_Set_Oimage(X10,X1,X3,X11),tc_fun(X11,tc_bool))
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__image__subset__iff_0) ).
fof(c_0_39,axiom,
! [X65,X58,X16,X1,X32,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),X65,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_Omsg_ONonce(X58),c_Event_Oused(X65),tc_Message_Omsg)
| ~ c_in(X65,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_ONS4_0) ).
fof(c_0_40,axiom,
! [X25,X6,X57,X16,X1,X2] :
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_cert__A__form_1) ).
fof(c_0_41,axiom,
! [X25,X6,X57,X16,X1,X2] :
( c_in(X16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X16,X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Oops__parts__spies_0) ).
fof(c_0_42,axiom,
! [X65,X58,X16,X1,X32,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),X65,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_Omsg_ONonce(X58),c_Event_Oused(X65),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X65) ),
file('<stdin>',cls_ns__sharedp_ONS4_0) ).
fof(c_0_43,axiom,
! [X10,X1,X2,X11,X3] :
( c_lessequals(c_Set_Oimage(X10,X2,X3,X11),c_Set_Oimage(X10,X1,X3,X11),tc_fun(X11,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__image__subset__iff_1) ).
fof(c_0_44,axiom,
! [X6,X16,X7,X21] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oparts(X7),tc_Message_Omsg)
| c_in(X16,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X16,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X6,X21,tc_Message_Omsg))),tc_nat) ),
file('<stdin>',cls_keysFor__parts__insert_0) ).
fof(c_0_45,axiom,
! [X25,X6,X60,X42,X74,X16,X1,X2] :
( c_in(X6,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(X74,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X16,X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_NS3__msg__in__parts__spies_0) ).
fof(c_0_46,axiom,
! [X25,X61,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| X16 = X61
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X61,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_analz__insert__freshK_0) ).
fof(c_0_47,axiom,
! [X25,X6,X1,X2] :
( c_in(c_Event_Oevent_OSays(X2,X1,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X2,X1,X6,X25)),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X2,X1,X6,X25) ),
file('<stdin>',cls_Issues__def_0) ).
fof(c_0_48,axiom,
! [X25,X27,X6,X1,X2] :
( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent))),tc_Message_Omsg) ),
file('<stdin>',cls_analz__mono__contra_I1_J_0) ).
fof(c_0_49,axiom,
! [X10,X24,X11,X3] :
( X24 = hAPP(X10,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X24,X10,X3,X11))
| ~ c_in(X24,c_Set_Oimage(X10,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)),X11,X3),X3) ),
file('<stdin>',cls_rangeE_0) ).
fof(c_0_50,axiom,
! [X10,X1,X2,X11,X3] : c_Set_Oimage(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X11,tc_bool)),X11,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X10,X2,X11,X3),c_Set_Oimage(X10,X1,X11,X3),tc_fun(X3,tc_bool)),
file('<stdin>',cls_image__Un_0) ).
fof(c_0_51,axiom,
! [X10,X1,X2,X11,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X10,X2,X11,X3),c_Set_Oimage(X10,X1,X11,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X11,tc_bool)),X11,X3),
file('<stdin>',cls_analz__image__freshK__simps_I57_J_0) ).
fof(c_0_52,axiom,
! [X10,X12,X2,X11,X3] :
( c_in(X12,X2,X3)
| ~ c_in(hAPP(X10,X12),c_Set_Oimage(X10,X2,X3,X11),X11)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__image__mem__iff_0) ).
fof(c_0_53,axiom,
! [X10,X1,X2,X11,X3] :
( c_Set_Oimage(X10,X2,X3,X11) != c_Set_Oimage(X10,X1,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3,X11)
| X2 = X1 ),
file('<stdin>',cls_inj__on__Un__image__eq__iff_0) ).
fof(c_0_54,axiom,
! [X25,X61,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X61,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_analz__insert__freshK_2) ).
fof(c_0_55,axiom,
! [X10,X1,X2,X11,X3] :
( c_Set_Oimage(X10,X2,X3,X11) != c_Set_Oimage(X10,X1,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11)
| X2 = X1 ),
file('<stdin>',cls_inj__image__eq__iff_0) ).
fof(c_0_56,axiom,
! [X15,X25] :
( c_in(X15,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X15),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X15),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),tc_Message_Omsg) ),
file('<stdin>',cls_analz__insert__freshK_1) ).
fof(c_0_57,axiom,
! [X15,X10,X2,X11,X3] :
( ~ c_lessequals(X15,X2,tc_fun(X11,tc_bool))
| c_lessequals(c_Set_Oimage(X10,X15,X11,X3),c_Set_Oimage(X10,X2,X11,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__image__iff_2) ).
fof(c_0_58,axiom,
! [X10,X1,X2,X11,X3] :
( c_lessequals(c_Set_Oimage(X10,X2,X3,X11),c_Set_Oimage(X10,X1,X3,X11),tc_fun(X11,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_image__mono_0) ).
fof(c_0_59,axiom,
! [X6,X7,X21] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X21)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X21)),tc_Message_Omsg) ),
file('<stdin>',cls_Fake__analz__insert_0) ).
fof(c_0_60,axiom,
! [X10,X12,X2,X11,X3] :
( c_in(hAPP(X10,X12),c_Set_Oimage(X10,X2,X3,X11),X11)
| ~ c_in(X12,X2,X3)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__image__mem__iff_1) ).
fof(c_0_61,axiom,
! [X6,X16,X7] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_lemma2_0) ).
fof(c_0_62,axiom,
! [X6,X16,X7] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_lemma1_0) ).
fof(c_0_63,axiom,
! [X56,X57,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X57),c_Event_Oused(X56),tc_Message_Omsg)
| ~ c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_ONS1_0) ).
fof(c_0_64,axiom,
! [X25,X16] :
( ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Event_Oused(X25),tc_Message_Omsg) ),
file('<stdin>',cls_Key__not__used_0) ).
fof(c_0_65,axiom,
! [X15,X10,X1,X2,X11,X3] :
( c_in(hAPP(X10,X15),X1,X3)
| ~ c_in(X15,X2,X11)
| ~ c_lessequals(c_Set_Oimage(X10,X2,X11,X3),X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_image__subset__iff_0) ).
fof(c_0_66,axiom,
! [X25,X69,X16,X1,X2] :
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X69)),X25)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X69))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_B__Issues__A_0) ).
fof(c_0_67,axiom,
! [X15,X27,X24,X28] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X15)),c_Set_Oimage(c_Public_OpublicKey(X27),X28,tc_Message_Oagent,tc_nat),tc_nat),
file('<stdin>',cls_privateKey__notin__image__publicKey_0) ).
fof(c_0_68,axiom,
! [X15,X27,X24,X28] :
( c_in(X15,X28,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X24),X15),c_Set_Oimage(c_Public_OpublicKey(X27),X28,tc_Message_Oagent,tc_nat),tc_nat) ),
file('<stdin>',cls_publicKey__image__eq_1) ).
fof(c_0_69,axiom,
! [X6,X16,X7] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__insert__Crypt__subset_0) ).
fof(c_0_70,axiom,
! [X15,X24,X28] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X15)),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat),
file('<stdin>',cls_privateKey__notin__image__shrK_0) ).
fof(c_0_71,axiom,
! [X35,X7,X36,X21] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X36,X35,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X7),c_Message_Oanalz(X35),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X36),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_analz__subset__cong_0) ).
fof(c_0_72,axiom,
! [X56,X57,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),X56,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X57),c_Event_Oused(X56),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X56) ),
file('<stdin>',cls_ns__sharedp_ONS1_0) ).
fof(c_0_73,axiom,
! [X15,X28] :
( c_in(X15,X28,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X15),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat) ),
file('<stdin>',cls_shrK__image__eq_0) ).
fof(c_0_74,axiom,
! [X15,X2] :
( c_in(X15,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X15),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
file('<stdin>',cls_Key__image__eq_0) ).
fof(c_0_75,axiom,
! [X15,X27,X24,X28] :
( X24 = X27
| ~ c_in(hAPP(c_Public_OpublicKey(X24),X15),c_Set_Oimage(c_Public_OpublicKey(X27),X28,tc_Message_Oagent,tc_nat),tc_nat) ),
file('<stdin>',cls_publicKey__image__eq_0) ).
fof(c_0_76,axiom,
! [X10,X12,X1,X11,X3] : c_Set_Oinsert(hAPP(X10,X12),c_Set_Oimage(X10,X1,X11,X3),X3) = c_Set_Oimage(X10,c_Set_Oinsert(X12,X1,X11),X11,X3),
file('<stdin>',cls_analz__image__freshK__simps_I56_J_0) ).
fof(c_0_77,axiom,
! [X10,X12,X1,X11,X3] : c_Set_Oimage(X10,c_Set_Oinsert(X12,X1,X11),X11,X3) = c_Set_Oinsert(hAPP(X10,X12),c_Set_Oimage(X10,X1,X11,X3),X3),
file('<stdin>',cls_image__insert_0) ).
fof(c_0_78,axiom,
! [X15,X10,X2,X11,X3] :
( c_Set_Oinsert(hAPP(X10,X15),c_Set_Oimage(X10,X2,X3,X11),X11) = c_Set_Oimage(X10,X2,X3,X11)
| ~ c_in(X15,X2,X3) ),
file('<stdin>',cls_insert__image_0) ).
fof(c_0_79,axiom,
! [X15,X24,X28] : ~ c_in(hAPP(c_Public_OpublicKey(X24),X15),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat),
file('<stdin>',cls_publicKey__notin__image__shrK_0) ).
fof(c_0_80,axiom,
! [X15,X24,X28] : ~ c_in(hAPP(c_Public_OshrK,X15),c_Set_Oimage(c_Public_OpublicKey(X24),X28,tc_Message_Oagent,tc_nat),tc_nat),
file('<stdin>',cls_shrK__notin__image__publicKey_0) ).
fof(c_0_81,axiom,
! [X25,X27,X6,X2] :
( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent))),tc_Message_Omsg) ),
file('<stdin>',cls_analz__mono__contra_I2_J_0) ).
fof(c_0_82,axiom,
! [X25,X27,X6,X2] :
( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent))),tc_Message_Omsg) ),
file('<stdin>',cls_analz__mono__contra_I3_J_0) ).
fof(c_0_83,axiom,
! [X6,X16,X2] : ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_Crypt__notin__image__Key_0) ).
fof(c_0_84,axiom,
! [X10,X1,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X2,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__on__Un_0) ).
fof(c_0_85,axiom,
! [X10,X1,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X1,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3,X11) ),
file('<stdin>',cls_inj__on__Un_1) ).
fof(c_0_86,axiom,
! [X29,X6,X7] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),c_Message_Oanalz(c_Set_Oinsert(X6,c_Set_Oinsert(X29,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('<stdin>',cls_analz__insert__MPair_0) ).
fof(c_0_87,axiom,
! [X29,X6,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),c_Message_Oparts(c_Set_Oinsert(X6,c_Set_Oinsert(X29,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('<stdin>',cls_parts__insert__MPair_0) ).
fof(c_0_88,axiom,
! [X29,X6,X7,X21] :
( c_in(X29,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Oparts(c_Set_Oinsert(X6,X21,tc_Message_Omsg)),tc_Message_Omsg) ),
file('<stdin>',cls_parts__cut_0) ).
fof(c_0_89,axiom,
! [X15,X2] : ~ c_in(c_Message_Omsg_ONonce(X15),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_Nonce__Key__image__eq_0) ).
fof(c_0_90,axiom,
! [X25,X6,X1,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg),
file('<stdin>',cls_spies__Says__rev_0) ).
fof(c_0_91,axiom,
! [X10,X12,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X2,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Set_Oinsert(X12,X2,X3),X3,X11) ),
file('<stdin>',cls_inj__on__insert_0) ).
fof(c_0_92,axiom,
! [X53,X47,X15,X3] :
( c_in(X15,c_List_Oset(c_List_Oappend(X47,c_List_Olist_OCons(X15,X53,X3),X3),X3),X3)
| c_in(X15,c_List_Oset(X47,X3),X3) ),
file('<stdin>',cls_in__set__conv__decomp__first_2) ).
fof(c_0_93,axiom,
! [X53,X47,X15,X3] :
( c_in(X15,c_List_Oset(c_List_Oappend(X47,c_List_Olist_OCons(X15,X53,X3),X3),X3),X3)
| c_in(X15,c_List_Oset(X53,X3),X3) ),
file('<stdin>',cls_in__set__conv__decomp__last_2) ).
fof(c_0_94,axiom,
! [X25,X6,X2] :
( c_in(X6,c_Event_OinitState(X2),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X6,X25),X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg) ),
file('<stdin>',cls_knows__imp__Says__Gets__Notes__initState_0) ).
fof(c_0_95,axiom,
! [X50,X6,X7] :
( c_in(X50,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X7)),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X50,c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ),
file('<stdin>',cls_Fake__parts__insert__in__Un_0) ).
fof(c_0_96,axiom,
! [X6,X16,X7,X21] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X21),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(X6,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X7,X21,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_synth__analz__insert__eq_0) ).
fof(c_0_97,axiom,
! [X25,X6,X1,X32,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X32,X1,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Says_0) ).
fof(c_0_98,axiom,
! [X10,X1,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X2,X3,X11)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X10,X1,X3,X11) ),
file('<stdin>',cls_subset__inj__on_0) ).
fof(c_0_99,axiom,
! [X25,X6,X1,X2] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X25),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__Spy__subset__knows__Spy__Says_0) ).
fof(c_0_100,axiom,
! [X42] : c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg),
file('<stdin>',cls_analz__image__Key_0) ).
fof(c_0_101,axiom,
! [X42] : c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg),
file('<stdin>',cls_parts__image__Key_0) ).
fof(c_0_102,axiom,
! [X53,X47,X15,X3] : c_in(X15,c_List_Oset(c_List_Oappend(X47,c_List_Olist_OCons(X15,X53,X3),X3),X3),X3),
file('<stdin>',cls_in__set__conv__decomp_1) ).
fof(c_0_103,axiom,
! [X55,X6,X1] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X6),X55,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X55))),tc_Message_Omsg)
| ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_ns__shared_OFake_0) ).
fof(c_0_104,axiom,
! [X15,X10,X11,X3] : c_in(hAPP(X10,X15),c_Set_Oimage(X10,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)),X11,X3),X3),
file('<stdin>',cls_rangeI_0) ).
fof(c_0_105,axiom,
! [X47,X15,X28] :
( c_in(hAPP(c_Public_OpublicKey(X15),X47),c_Set_Oimage(c_Public_OpublicKey(X15),X28,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X47,X28,tc_Message_Oagent) ),
file('<stdin>',cls_publicKey__image__eq_2) ).
fof(c_0_106,axiom,
! [X27,X7,X21] :
( c_in(X27,c_Message_Oparts(X7),tc_Message_Omsg)
| c_in(X27,c_Message_Oparts(X21),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('<stdin>',cls_in__parts__UnE_0) ).
fof(c_0_107,axiom,
! [X15,X10,X2,X67,X3] :
( ~ c_in(X15,X2,X67)
| c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X67,X3),X3) ),
file('<stdin>',cls_rev__image__eqI_0) ).
fof(c_0_108,axiom,
! [X15,X10,X2,X11,X3] :
( ~ c_in(X15,X2,X11)
| c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X11,X3),X3) ),
file('<stdin>',cls_image__iff_2) ).
fof(c_0_109,axiom,
! [X15,X10,X2,X11,X3] :
( c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X11,X3),X3)
| ~ c_in(X15,X2,X11) ),
file('<stdin>',cls_image__eqI_0) ).
fof(c_0_110,axiom,
! [X15,X10,X2,X11,X3] :
( c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X3,X11),X11)
| ~ c_in(X15,X2,X3) ),
file('<stdin>',cls_imageI_0) ).
fof(c_0_111,axiom,
! [X6,X16,X7,X21] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(X6,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X21),tc_Message_Omsg)
| ~ c_lessequals(X7,X21,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_synth__analz__insert__eq_1) ).
fof(c_0_112,axiom,
! [X15,X28] :
( c_in(hAPP(c_Public_OshrK,X15),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X15,X28,tc_Message_Oagent) ),
file('<stdin>',cls_shrK__image__eq_1) ).
fof(c_0_113,axiom,
! [X15,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,X15),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X15,X2,tc_nat) ),
file('<stdin>',cls_Key__image__eq_1) ).
fof(c_0_114,axiom,
! [X13,X14,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X14,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__mono_0) ).
fof(c_0_115,axiom,
! [X23,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_Fun_Oinj__on(X10,X2,X3,X11)
| X15 = X23
| ~ c_in(X23,X2,X3)
| ~ c_in(X15,X2,X3) ),
file('<stdin>',cls_inj__onD_0) ).
fof(c_0_116,axiom,
! [X47,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X47)
| ~ c_in(X47,X2,X3)
| ~ c_in(X15,X2,X3)
| ~ c_Fun_Oinj__on(X10,X2,X3,X11)
| X15 = X47 ),
file('<stdin>',cls_inj__on__def_0) ).
fof(c_0_117,axiom,
! [X23,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_in(X23,X2,X3)
| ~ c_in(X15,X2,X3)
| ~ c_Fun_Oinj__on(X10,X2,X3,X11)
| X15 = X23 ),
file('<stdin>',cls_inj__on__iff_0) ).
fof(c_0_118,axiom,
! [X23,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_in(X23,X2,X3)
| ~ c_in(X15,X2,X3)
| X15 = X23
| ~ c_Fun_Oinj__on(X10,X2,X3,X11) ),
file('<stdin>',cls_inj__on__contraD_0) ).
fof(c_0_119,axiom,
! [X6,X16,X7] :
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__Crypt__if_0) ).
fof(c_0_120,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_spies__Notes__rev_0) ).
fof(c_0_121,axiom,
! [X6,X7] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X7)),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_Fake__parts__insert_0) ).
fof(c_0_122,axiom,
! [X15,X1,X2,X3] :
( hBOOL(hAPP(X1,X15))
| hBOOL(hAPP(X2,X15))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X15)) ),
file('<stdin>',cls_sup1E_0) ).
fof(c_0_123,axiom,
! [X55,X6,X1] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X6),X55,tc_Event_Oevent))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X55))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X55) ),
file('<stdin>',cls_ns__sharedp_OFake_0) ).
fof(c_0_124,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ),
file('<stdin>',cls_analz__cut_0) ).
fof(c_0_125,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Osynth(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ),
file('<stdin>',cls_synth__cut_0) ).
fof(c_0_126,axiom,
! [X4,X23,X5,X15,X3] :
( c_List_Oappend(X5,c_List_Olist_OCons(X15,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X23,c_List_Olist_ONil(X3),X3),X3)
| X15 = X23 ),
file('<stdin>',cls_append1__eq__conv_1) ).
fof(c_0_127,axiom,
! [X4,X23,X5,X15,X3] :
( c_List_Oappend(X5,c_List_Olist_OCons(X15,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X23,c_List_Olist_ONil(X3),X3),X3)
| X5 = X4 ),
file('<stdin>',cls_append1__eq__conv_0) ).
fof(c_0_128,axiom,
! [X23,X5,X15,X3] :
( c_in(X23,c_List_Oset(X5,X3),X3)
| X23 = X15
| ~ c_in(X23,c_List_Oset(c_List_Olist_OCons(X15,X5,X3),X3),X3) ),
file('<stdin>',cls_set__ConsD_0) ).
fof(c_0_129,axiom,
! [X7,X21] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__Un__subset1_0) ).
fof(c_0_130,axiom,
! [X7,X21] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__Un_0) ).
fof(c_0_131,axiom,
! [X7,X21] : c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__Un__subset2_0) ).
fof(c_0_132,axiom,
! [X7,X21] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_synth__Un_0) ).
fof(c_0_133,axiom,
! [X6,X7,X21] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,X21,tc_Message_Omsg) ),
file('<stdin>',cls_parts__insert__subset__Un_0) ).
fof(c_0_134,axiom,
! [X7,X21] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X21),X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X21),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__synth__Un_0) ).
fof(c_0_135,axiom,
! [X23,X15,X10,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11)
| X15 = X23 ),
file('<stdin>',cls_injD_0) ).
fof(c_0_136,axiom,
! [X25,X16] :
( ~ c_in(X16,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25))),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Event_Oused(X25),tc_Message_Omsg) ),
file('<stdin>',cls_new__keys__not__used_0) ).
fof(c_0_137,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_spies__Notes__rev_1) ).
fof(c_0_138,axiom,
! [X6,X16,X7] :
( c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__synth__analz_0) ).
fof(c_0_139,axiom,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__synth__analz_1) ).
fof(c_0_140,axiom,
! [X14,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X14,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__least_0) ).
fof(c_0_141,axiom,
! [X14,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X14,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__subset__iff_2) ).
fof(c_0_142,axiom,
! [X29,X41,X6,X16,X2] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),c_Set_Oinsert(c_Message_Omsg_OMPair(X41,X29),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X41,X29),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I12_J_0) ).
fof(c_0_143,axiom,
! [X6,X7,X2] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X6),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__shrK__Decrypt_0) ).
fof(c_0_144,axiom,
! [X4,X5,X2,X3] :
( c_in(c_List_Oappend(X5,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X5,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
file('<stdin>',cls_append__in__lists__conv_2) ).
fof(c_0_145,axiom,
! [X25,X6,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X6),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__Spy__analz__bad_0) ).
fof(c_0_146,axiom,
! [X6,X31,X16,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X31),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X31),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I6_J_0) ).
fof(c_0_147,axiom,
! [X29,X6,X16,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I5_J_0) ).
fof(c_0_148,axiom,
! [X14,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)),
file('<stdin>',cls_analz__image__freshK__simps_I65_J_0) ).
fof(c_0_149,axiom,
! [X14,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__assoc_0) ).
fof(c_0_150,axiom,
! [X14,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__left__commute_0) ).
fof(c_0_151,axiom,
! [X6,X16,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),
file('<stdin>',cls_parts__insert__Crypt_0) ).
fof(c_0_152,axiom,
! [X25,X6,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25),
file('<stdin>',cls_spies__Gets__rev_0) ).
fof(c_0_153,axiom,
! [X26,X54,X12,X3] :
( c_List_Olist__inter(c_List_Olist_OCons(X12,X54,X3),X26,X3) = c_List_Olist_OCons(X12,c_List_Olist__inter(X54,X26,X3),X3)
| ~ c_in(X12,c_List_Oset(X26,X3),X3) ),
file('<stdin>',cls_list__inter_Osimps_I2_J_0) ).
fof(c_0_154,axiom,
! [X27,X21,X2] :
( c_in(X27,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X21,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oanalz(X21),tc_Message_Omsg) ),
file('<stdin>',cls_analz__image__freshK__simps_I61_J_0) ).
fof(c_0_155,axiom,
! [X14,X1,X2,X3] :
( c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__subset__iff_1) ).
fof(c_0_156,axiom,
! [X14,X1,X2,X3] :
( c_lessequals(X2,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__subset__iff_0) ).
fof(c_0_157,axiom,
! [X25,X6,X32,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X32,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Notes_0) ).
fof(c_0_158,axiom,
! [X25,X6,X32,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X32,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Gets_0) ).
fof(c_0_159,axiom,
! [X27,X1,X2,X3] :
( c_in(X27,X1,X3)
| c_in(X27,X2,X3)
| ~ c_in(X27,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_UnE_0) ).
fof(c_0_160,axiom,
! [X25,X6,X2] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X25),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
fof(c_0_161,axiom,
! [X25,X6,X2] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X25),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
fof(c_0_162,axiom,
! [X1,X2,X3] :
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Compl__subset__Compl__iff_0) ).
fof(c_0_163,axiom,
! [X15,X1,X2,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool))
| c_in(X15,X2,X3) ),
file('<stdin>',cls_subset__insert_0) ).
fof(c_0_164,axiom,
! [X15,X1,X2,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| c_in(X15,X2,X3)
| ~ c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insert__iff_1) ).
fof(c_0_165,axiom,
! [X23,X15,X2,X3] :
( hBOOL(hAPP(X2,X15))
| X23 = X15
| ~ hBOOL(hAPP(c_Set_Oinsert(X23,X2,X3),X15)) ),
file('<stdin>',cls_insert__code_0) ).
fof(c_0_166,axiom,
! [X25,X2] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_Spy__analz__shrK_0) ).
fof(c_0_167,axiom,
! [X25,X2] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_Spy__see__shrK_0) ).
fof(c_0_168,axiom,
! [X12,X13,X14,X3] :
( c_lessequals(c_Set_Oinsert(X12,X14,X3),c_Set_Oinsert(X12,X13,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X14,X13,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_insert__mono_0) ).
fof(c_0_169,axiom,
! [X25,X6,X1,X2] : c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg),
file('<stdin>',cls_knows__Says_0) ).
fof(c_0_170,axiom,
! [X6,X42,X16,X2] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I9_J_0) ).
fof(c_0_171,axiom,
! [X6,X16,X14,X2] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),c_Set_Oinsert(c_Message_Omsg_OAgent(X14),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X14),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I8_J_0) ).
fof(c_0_172,axiom,
! [X25,X6,X1,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg),
file('<stdin>',cls_knows__Spy__Says_0) ).
fof(c_0_173,axiom,
! [X6,X16,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__Decrypt_H_0) ).
fof(c_0_174,axiom,
! [X6,X7] : c_lessequals(c_Set_Oinsert(X6,c_Message_Oanalz(X7),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__insert_0) ).
fof(c_0_175,axiom,
! [X6,X7] : c_lessequals(c_Set_Oinsert(X6,c_Message_Osynth(X7),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_synth__insert_0) ).
fof(c_0_176,axiom,
! [X6,X7] : c_lessequals(c_Set_Oinsert(X6,c_Message_Oparts(X7),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__insert__subset_0) ).
fof(c_0_177,axiom,
! [X42,X16,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I2_J_0) ).
fof(c_0_178,axiom,
! [X16,X14,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_OAgent(X14),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X14),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
file('<stdin>',cls_pushes_I1_J_0) ).
fof(c_0_179,axiom,
! [X15,X1,X2,X3] :
( c_lessequals(c_Set_Oinsert(X15,X2,X3),X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_in(X15,X1,X3) ),
file('<stdin>',cls_insert__subset_2) ).
fof(c_0_180,axiom,
! [X25,X6,X1,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__imp__analz__Spy_0) ).
fof(c_0_181,axiom,
! [X25,X6,X1,X2] :
( c_in(X6,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__imp__parts__knows__Spy_0) ).
fof(c_0_182,axiom,
! [X4,X5,X2,X3] :
( c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X5,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
file('<stdin>',cls_append__in__lists__conv_1) ).
fof(c_0_183,axiom,
! [X4,X5,X2,X3] :
( c_in(X5,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X5,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
file('<stdin>',cls_append__in__lists__conv_0) ).
fof(c_0_184,axiom,
! [X12,X14,X1,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X12,X1,X3),X14,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X12,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),X3),
file('<stdin>',cls_Un__insert__left_0) ).
fof(c_0_185,axiom,
! [X12,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X12,X1,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X12,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3),
file('<stdin>',cls_Un__insert__right_0) ).
fof(c_0_186,axiom,
! [X15,X1,X2,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X15))
| ~ hBOOL(hAPP(X1,X15)) ),
file('<stdin>',cls_sup1CI_0) ).
fof(c_0_187,axiom,
! [X15,X1,X2,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X15))
| ~ hBOOL(hAPP(X2,X15)) ),
file('<stdin>',cls_sup1CI_1) ).
fof(c_0_188,axiom,
! [X15,X1,X2,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X15,X2,X3),X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_insert__subset_1) ).
fof(c_0_189,axiom,
! [X25,X6,X1,X2] :
( c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__imp__knows_0) ).
fof(c_0_190,axiom,
! [X25,X6,X1,X2] :
( c_in(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__imp__spies_0) ).
fof(c_0_191,axiom,
! [X15,X1,X2,X3] :
( c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| c_in(X15,X2,X3) ),
file('<stdin>',cls_subset__insert_1) ).
fof(c_0_192,axiom,
! [X15,X1,X2,X3] :
( c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| c_in(X15,X2,X3) ),
file('<stdin>',cls_subset__insert__iff_2) ).
fof(c_0_193,axiom,
! [X27,X12,X21] :
( c_in(X27,c_Message_Oanalz(c_Set_Oinsert(X12,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oanalz(X21),tc_Message_Omsg) ),
file('<stdin>',cls_analz__insertI_0) ).
fof(c_0_194,axiom,
! [X27,X12,X21] :
( c_in(X27,c_Message_Oparts(c_Set_Oinsert(X12,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(X21),tc_Message_Omsg) ),
file('<stdin>',cls_parts__insertI_0) ).
fof(c_0_195,axiom,
! [X25,X6,X1,X2] :
( c_in(X6,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Says__imp__used_0) ).
fof(c_0_196,axiom,
! [X25,X24,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_Spy__spies__bad__privateKey_0) ).
fof(c_0_197,axiom,
! [X15,X1,X2,X3] :
( c_in(X15,X1,X3)
| ~ c_lessequals(c_Set_Oinsert(X15,X2,X3),X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_insert__subset_0) ).
fof(c_0_198,axiom,
! [X25,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_Spy__analz__shrK_1) ).
fof(c_0_199,axiom,
! [X25,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('<stdin>',cls_Spy__see__shrK_1) ).
fof(c_0_200,axiom,
! [X1,X2,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Compl__anti__mono_0) ).
fof(c_0_201,axiom,
! [X1,X2,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Compl__subset__Compl__iff_1) ).
fof(c_0_202,axiom,
! [X5,X15,X3] : c_lessequals(c_List_Oset(X5,X3),c_List_Oset(c_List_Olist_OCons(X15,X5,X3),X3),tc_fun(X3,tc_bool)),
file('<stdin>',cls_set__subset__Cons_0) ).
fof(c_0_203,axiom,
! [X6,X16,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz_ODecrypt_0) ).
fof(c_0_204,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3)
| ~ c_lessequals(X23,X22,X3)
| ~ c_lessequals(X15,X22,X3) ),
file('<stdin>',cls_le__sup__iff_2) ).
fof(c_0_205,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X15,X3)
| ~ c_lessequals(X22,X15,X3)
| ~ c_lessequals(X23,X15,X3) ),
file('<stdin>',cls_sup__least_0) ).
fof(c_0_206,axiom,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X15,X3)
| ~ c_lessequals(X24,X15,X3)
| ~ c_lessequals(X12,X15,X3) ),
file('<stdin>',cls_le__supI_0) ).
fof(c_0_207,axiom,
! [X6,X7] :
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X7))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_Fake__analz__eq_0) ).
fof(c_0_208,axiom,
! [X6,X16,X7] :
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__Crypt__if_1) ).
fof(c_0_209,axiom,
! [X25,X45,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(X45,X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_knows__subset__knows__Cons_0) ).
fof(c_0_210,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I6_J_0) ).
fof(c_0_211,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X22,X3),X3) ),
file('<stdin>',cls_inf__sup__aci_I7_J_0) ).
fof(c_0_212,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X22,X3),X3) ),
file('<stdin>',cls_sup__left__commute_0) ).
fof(c_0_213,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) ),
file('<stdin>',cls_sup__assoc_0) ).
fof(c_0_214,axiom,
! [X35,X7,X36,X21] :
( c_Message_Oanalz(X7) != c_Message_Oanalz(X35)
| c_Message_Oanalz(X21) != c_Message_Oanalz(X36)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X36,X35,tc_fun(tc_Message_Omsg,tc_bool))) ),
file('<stdin>',cls_analz__cong_0) ).
fof(c_0_215,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_knows__Spy__Notes_0) ).
fof(c_0_216,axiom,
! [X6,X7,X21] :
( c_Message_Oanalz(c_Set_Oinsert(X6,X21,tc_Message_Omsg)) = c_Message_Oanalz(X21)
| ~ c_lessequals(X7,X21,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_gen__analz__insert__eq_0) ).
fof(c_0_217,axiom,
! [X29,X6,X7] :
( c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__synth__analz_2) ).
fof(c_0_218,axiom,
! [X30,X37,X15,X3] : c_List_Olist_OCons(X15,c_List_Oappend(X37,X30,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X15,X37,X3),X30,X3),
file('<stdin>',cls_Cons__eq__appendI_0) ).
fof(c_0_219,axiom,
! [X30,X47,X15,X3] : c_List_Olist_OCons(X15,c_List_Oappend(X47,X30,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X15,X47,X3),X30,X3),
file('<stdin>',cls_Cons__eq__append__conv_5) ).
fof(c_0_220,axiom,
! [X4,X5,X15,X3] : c_List_Oappend(c_List_Olist_OCons(X15,X5,X3),X4,X3) = c_List_Olist_OCons(X15,c_List_Oappend(X5,X4,X3),X3),
file('<stdin>',cls_append__Cons_0) ).
fof(c_0_221,axiom,
! [X30,X47,X15,X3] : c_List_Oappend(c_List_Olist_OCons(X15,X47,X3),X30,X3) = c_List_Olist_OCons(X15,c_List_Oappend(X47,X30,X3),X3),
file('<stdin>',cls_append__eq__Cons__conv_5) ).
fof(c_0_222,axiom,
! [X5,X15,X39,X3] : c_List_Oappend(X5,c_List_Oappend(X15,X39,X3),X3) = c_List_Oappend(c_List_Oappend(X5,X15,X3),X39,X3),
file('<stdin>',cls_append__eq__append__conv2_5) ).
fof(c_0_223,axiom,
! [X30,X4,X15,X3] : c_List_Oappend(c_List_Oappend(X30,X15,X3),X4,X3) = c_List_Oappend(X30,c_List_Oappend(X15,X4,X3),X3),
file('<stdin>',cls_append__eq__append__conv2_4) ).
fof(c_0_224,axiom,
! [X37,X5,X38,X3] : c_List_Oappend(X5,c_List_Oappend(X37,X38,X3),X3) = c_List_Oappend(c_List_Oappend(X5,X37,X3),X38,X3),
file('<stdin>',cls_append__eq__appendI_0) ).
fof(c_0_225,axiom,
! [X30,X4,X5,X3] : c_List_Oappend(c_List_Oappend(X5,X4,X3),X30,X3) = c_List_Oappend(X5,c_List_Oappend(X4,X30,X3),X3),
file('<stdin>',cls_append__assoc_0) ).
fof(c_0_226,axiom,
! [X23,X15,X2,X3] : c_Set_Oinsert(X15,c_Set_Oinsert(X23,X2,X3),X3) = c_Set_Oinsert(X23,c_Set_Oinsert(X15,X2,X3),X3),
file('<stdin>',cls_insert__commute_0) ).
fof(c_0_227,axiom,
! [X14,X1,X2,X3] :
( c_lessequals(X2,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__trans_0) ).
fof(c_0_228,axiom,
! [X5,X15,X2,X3] :
( c_in(X15,X2,X3)
| ~ c_in(X15,c_List_Oset(X5,X3),X3)
| ~ c_in(X5,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
file('<stdin>',cls_in__lists__conv__set_0) ).
fof(c_0_229,axiom,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Notes__imp__knows__Spy_0) ).
fof(c_0_230,axiom,
! [X5,X15,X3] :
( ~ c_in(X15,c_List_Oset(X5,X3),X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X15,X5,X3),X3) ),
file('<stdin>',cls_distinct_Osimps_I2_J_0) ).
fof(c_0_231,axiom,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X12,X15,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X15,X3) ),
file('<stdin>',cls_le__supE_0) ).
fof(c_0_232,axiom,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X24,X15,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X15,X3) ),
file('<stdin>',cls_le__supE_1) ).
fof(c_0_233,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,X22,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) ),
file('<stdin>',cls_le__sup__iff_0) ).
fof(c_0_234,axiom,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X23,X22,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) ),
file('<stdin>',cls_le__sup__iff_1) ).
fof(c_0_235,axiom,
! [X7,X21] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X21),X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),
file('<stdin>',cls_analz__analz__Un_0) ).
fof(c_0_236,axiom,
! [X24,X12,X2,X3] :
( c_in(X12,X2,X3)
| X12 = X24
| ~ c_in(X12,c_Set_Oinsert(X24,X2,X3),X3) ),
file('<stdin>',cls_insertE_0) ).
fof(c_0_237,axiom,
! [X16,X7] :
( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(X16,c_Message_OkeysFor(c_Message_Oanalz(X7)),tc_nat) ),
file('<stdin>',cls_analz__insert__Key_0) ).
fof(c_0_238,axiom,
! [X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__left__absorb_0) ).
fof(c_0_239,axiom,
! [X24,X1,X2,X3] :
( c_lessequals(X2,c_Set_Oinsert(X24,X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__insertI2_0) ).
fof(c_0_240,axiom,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_synth_OCrypt_0) ).
fof(c_0_241,axiom,
! [X26,X54,X12,X3] :
( c_List_Olist__inter(c_List_Olist_OCons(X12,X54,X3),X26,X3) = c_List_Olist__inter(X54,X26,X3)
| c_in(X12,c_List_Oset(X26,X3),X3) ),
file('<stdin>',cls_list__inter_Osimps_I2_J_1) ).
fof(c_0_242,axiom,
! [X27,X1,X2,X3] :
( c_in(X27,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X27,X1,X3) ),
file('<stdin>',cls_UnCI_0) ).
fof(c_0_243,axiom,
! [X27,X1,X2,X3] :
( c_in(X27,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X27,X2,X3) ),
file('<stdin>',cls_UnCI_1) ).
fof(c_0_244,axiom,
! [X23,X15,X2,X3] :
( hBOOL(hAPP(c_Set_Oinsert(X23,X2,X3),X15))
| ~ hBOOL(hAPP(X2,X15)) ),
file('<stdin>',cls_insert__code_2) ).
fof(c_0_245,axiom,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__synth__eq_0) ).
fof(c_0_246,axiom,
! [X6,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__synth_1) ).
fof(c_0_247,axiom,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__synth__eq_1) ).
fof(c_0_248,axiom,
! [X27,X2,X3] :
( ~ c_in(X27,X2,X3)
| ~ c_in(X27,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
file('<stdin>',cls_ComplD_0) ).
fof(c_0_249,axiom,
! [X15,X1,X2,X3] :
( c_Set_Oinsert(X15,X2,X3) != c_Set_Oinsert(X15,X1,X3)
| c_in(X15,X1,X3)
| c_in(X15,X2,X3)
| X2 = X1 ),
file('<stdin>',cls_insert__ident_0) ).
fof(c_0_250,axiom,
! [X5,X15,X3] :
( c_List_Oremdups(c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Olist_OCons(X15,c_List_Oremdups(X5,X3),X3)
| c_in(X15,c_List_Oset(X5,X3),X3) ),
file('<stdin>',cls_remdups_Osimps_I2_J_1) ).
fof(c_0_251,axiom,
! [X6,X7,X21] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_lessequals(X21,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Oanalz(X21),tc_Message_Omsg) ),
file('<stdin>',cls_analz__trans_0) ).
fof(c_0_252,axiom,
! [X6,X7,X21] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_lessequals(X21,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Oparts(X21),tc_Message_Omsg) ),
file('<stdin>',cls_parts__trans_0) ).
fof(c_0_253,axiom,
! [X6,X7,X21] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_lessequals(X21,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(X21),tc_Message_Omsg) ),
file('<stdin>',cls_synth__trans_0) ).
fof(c_0_254,axiom,
! [X6,X16,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__synth_0) ).
fof(c_0_255,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__synth_1) ).
fof(c_0_256,axiom,
! [X29,X6,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__synth_0) ).
fof(c_0_257,axiom,
! [X29,X6,X7] :
( c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_synth_OMPair_0) ).
fof(c_0_258,axiom,
! [X6,X16,X7] :
( c_in(X16,c_Message_OkeysFor(X7),tc_nat)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__imp__keysFor_0) ).
fof(c_0_259,axiom,
! [X15,X1,X2,X3] :
( c_in(X15,X1,X3)
| ~ c_in(X15,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_set__mp_0) ).
fof(c_0_260,axiom,
! [X27,X1,X2,X3] :
( c_in(X27,X1,X3)
| ~ c_in(X27,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subsetD_0) ).
fof(c_0_261,axiom,
! [X15,X1,X2,X3] :
( c_in(X15,X1,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_in(X15,X2,X3) ),
file('<stdin>',cls_set__rev__mp_0) ).
fof(c_0_262,axiom,
! [X49,X1,X2,X3] :
( c_in(X49,X1,X3)
| ~ c_in(X49,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__iff_0) ).
fof(c_0_263,axiom,
! [X5,X15,X3] :
( c_List_Oremdups(c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Oremdups(X5,X3)
| ~ c_in(X15,c_List_Oset(X5,X3),X3) ),
file('<stdin>',cls_remdups_Osimps_I2_J_0) ).
fof(c_0_264,axiom,
! [X5,X15,X3] :
( c_List_Olength__unique(c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Olength__unique(X5,X3)
| ~ c_in(X15,c_List_Oset(X5,X3),X3) ),
file('<stdin>',cls_length__unique_Osimps_I2_J_0) ).
fof(c_0_265,axiom,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X3)
| ~ c_lessequals(X15,X12,X3) ),
file('<stdin>',cls_le__supI1_0) ).
fof(c_0_266,axiom,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X3)
| ~ c_lessequals(X15,X24,X3) ),
file('<stdin>',cls_le__supI2_0) ).
fof(c_0_267,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| X2 = c_Message_Oagent_OSpy ),
file('<stdin>',cls_knows__Gets_0) ).
fof(c_0_268,axiom,
! [X4,X5,X3] : c_List_Oset(c_List_Oappend(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X5,X3),c_List_Oset(X4,X3),tc_fun(X3,tc_bool)),
file('<stdin>',cls_set__append_0) ).
fof(c_0_269,axiom,
! [X25,X6,X2] : c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg),
file('<stdin>',cls_knows__Notes_0) ).
fof(c_0_270,axiom,
! [X24,X12,X1,X3] :
( c_in(X12,c_Set_Oinsert(X24,X1,X3),X3)
| ~ c_in(X12,X1,X3) ),
file('<stdin>',cls_insertCI_0) ).
fof(c_0_271,axiom,
! [X24,X12,X2,X3] :
( c_in(X12,c_Set_Oinsert(X24,X2,X3),X3)
| ~ c_in(X12,X2,X3) ),
file('<stdin>',cls_insert__iff_2) ).
fof(c_0_272,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2))),c_Event_Oused(X25),tc_Message_Omsg),
file('<stdin>',cls_privateKey__into__used_0) ).
fof(c_0_273,axiom,
! [X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
file('<stdin>',cls_priK__in__initState_0) ).
fof(c_0_274,axiom,
! [X1,X2,X3] :
( X2 = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_equalityI_0) ).
fof(c_0_275,axiom,
! [X1,X2,X3] :
( X2 = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_set__eq__subset_2) ).
fof(c_0_276,axiom,
! [X15,X2,X3] : hBOOL(hAPP(c_Set_Oinsert(X15,X2,X3),X15)),
file('<stdin>',cls_insert__code_1) ).
fof(c_0_277,axiom,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy ),
file('<stdin>',cls_Gets__imp__knows__agents_0) ).
fof(c_0_278,axiom,
! [X15,X48,X10,X11,X3] :
( ~ class_HOL_Oord(X11)
| c_lessequals(hAPP(X10,X15),hAPP(X48,X15),X11)
| ~ c_lessequals(X10,X48,tc_fun(X3,X11)) ),
file('<stdin>',cls_le__funD_0) ).
fof(c_0_279,axiom,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Notes__imp__knows_0) ).
fof(c_0_280,axiom,
! [X7,X21] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__Un_0) ).
fof(c_0_281,axiom,
! [X16,X7] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oparts(X7),tc_Message_Omsg),
file('<stdin>',cls_parts__insert__Key_0) ).
fof(c_0_282,axiom,
! [X22,X23,X15,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X15,X22,X3)
| ~ c_lessequals(X23,X22,X3)
| ~ c_lessequals(X15,X23,X3) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_283,axiom,
! [X22,X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X15,X3)
| ~ c_lessequals(X22,X23,X3)
| ~ c_lessequals(X23,X15,X3) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_284,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_knows__Spy__Notes_1) ).
fof(c_0_285,axiom,
! [X1,X2,X3] : c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__upper1_0) ).
fof(c_0_286,axiom,
! [X1,X2,X3] : c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__upper2_0) ).
fof(c_0_287,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X12,X24,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X12,X3),X3) ),
file('<stdin>',cls_neg__le__iff__le_0) ).
fof(c_0_288,axiom,
! [X6,X35,X7] :
( c_Message_Oanalz(X7) != c_Message_Oanalz(X35)
| c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X6,X35,tc_Message_Omsg)) ),
file('<stdin>',cls_analz__insert__cong_0) ).
fof(c_0_289,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X21)),c_Message_Osynth(c_Message_Oanalz(X7)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_synth__analz__mono_0) ).
fof(c_0_290,axiom,
! [X25,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('<stdin>',cls_Spy__spies__bad__shrK_0) ).
fof(c_0_291,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__synth__analz_1) ).
fof(c_0_292,axiom,
! [X29,X6,X7] :
( c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__synth__analz_0) ).
fof(c_0_293,axiom,
! [X25,X27] :
( c_in(X27,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
file('<stdin>',cls_usedI_0) ).
fof(c_0_294,axiom,
! [X5,X15,X3] :
( c_List_Odistinct(c_List_Olist_OCons(X15,X5,X3),X3)
| ~ c_List_Odistinct(X5,X3)
| c_in(X15,c_List_Oset(X5,X3),X3) ),
file('<stdin>',cls_distinct_Osimps_I2_J_2) ).
fof(c_0_295,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) ),
file('<stdin>',cls_inf__sup__aci_I8_J_0) ).
fof(c_0_296,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) ),
file('<stdin>',cls_sup__left__idem_0) ).
fof(c_0_297,axiom,
! [X5,X15,X3] : c_List_Olist_OCons(X15,X5,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X15,X5,X3),X3),
file('<stdin>',cls_Cons__eq__append__conv_4) ).
fof(c_0_298,axiom,
! [X5,X15,X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Olist_OCons(X15,X5,X3),
file('<stdin>',cls_append__eq__Cons__conv_4) ).
fof(c_0_299,axiom,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
file('<stdin>',cls_Notes__imp__used_0) ).
fof(c_0_300,axiom,
! [X7,X21] :
( c_lessequals(X21,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_analz__subset__iff_0) ).
fof(c_0_301,axiom,
! [X7,X21] :
( c_lessequals(X21,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_parts__subset__iff_0) ).
fof(c_0_302,axiom,
! [X7,X21] :
( c_lessequals(X21,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_synth__subset__iff_0) ).
fof(c_0_303,axiom,
! [X15,X2,X3] : c_Set_Oinsert(X15,c_Set_Oinsert(X15,X2,X3),X3) = c_Set_Oinsert(X15,X2,X3),
file('<stdin>',cls_insert__absorb2_0) ).
fof(c_0_304,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X3),X24,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X12,X3) ),
file('<stdin>',cls_minus__le__iff_1) ).
fof(c_0_305,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X12,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X3),X24,X3) ),
file('<stdin>',cls_minus__le__iff_0) ).
fof(c_0_306,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X12,X3),X3) ),
file('<stdin>',cls_le__minus__iff_1) ).
fof(c_0_307,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X12,X3),X3)
| ~ c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_le__minus__iff_0) ).
fof(c_0_308,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_analz__subset__iff_1) ).
fof(c_0_309,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_parts__subset__iff_1) ).
fof(c_0_310,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_synth__subset__iff_1) ).
fof(c_0_311,axiom,
! [X24,X2] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2)),c_Message_OsymKeys,tc_nat),
file('<stdin>',cls_not__symKeys__priK_0) ).
fof(c_0_312,axiom,
! [X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Key__synth_0) ).
fof(c_0_313,axiom,
! [X6,X7] :
( c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)) = c_Message_Oanalz(X7)
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__insert__eq_0) ).
fof(c_0_314,axiom,
! [X6,X7] :
( c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)) = c_Message_Oparts(X7)
| ~ c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg) ),
file('<stdin>',cls_parts__cut__eq_0) ).
fof(c_0_315,axiom,
! [X5,X15,X3] :
( c_List_Odistinct(X5,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X15,X5,X3),X3) ),
file('<stdin>',cls_distinct_Osimps_I2_J_1) ).
fof(c_0_316,axiom,
! [X4,X5,X3] :
( c_List_Odistinct(X5,X3)
| ~ c_List_Odistinct(c_List_Oappend(X5,X4,X3),X3) ),
file('<stdin>',cls_distinct__append_0) ).
fof(c_0_317,axiom,
! [X4,X5,X3] :
( c_List_Odistinct(X4,X3)
| ~ c_List_Odistinct(c_List_Oappend(X5,X4,X3),X3) ),
file('<stdin>',cls_distinct__append_1) ).
fof(c_0_318,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg),
file('<stdin>',cls_analz__spies__pubK_0) ).
fof(c_0_319,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_analz__mono_0) ).
fof(c_0_320,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_parts__mono_0) ).
fof(c_0_321,axiom,
! [X7,X21] :
( c_lessequals(c_Message_OkeysFor(X21),c_Message_OkeysFor(X7),tc_fun(tc_nat,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_keysFor__mono_0) ).
fof(c_0_322,axiom,
! [X7,X21] :
( c_lessequals(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
file('<stdin>',cls_synth__mono_0) ).
fof(c_0_323,axiom,
! [X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg) ),
file('<stdin>',cls_Key__synth__eq_1) ).
fof(c_0_324,axiom,
! [X5,X15,X3] : c_List_Oset(c_List_Olist_OCons(X15,X5,X3),X3) = c_Set_Oinsert(X15,c_List_Oset(X5,X3),X3),
file('<stdin>',cls_List_Oset_Osimps_I2_J_0) ).
fof(c_0_325,axiom,
! [X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) != X1
| c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_subset__Un__eq_1) ).
fof(c_0_326,axiom,
! [X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__absorb1_0) ).
fof(c_0_327,axiom,
! [X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_Un__absorb2_0) ).
fof(c_0_328,axiom,
! [X15,X33,X34,X3] :
( hBOOL(hAPP(X33,X15))
| ~ c_lessequals(X34,X33,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X34,X15)) ),
file('<stdin>',cls_rev__predicate1D_0) ).
fof(c_0_329,axiom,
! [X15,X33,X34,X3] :
( hBOOL(hAPP(X33,X15))
| ~ hBOOL(hAPP(X34,X15))
| ~ c_lessequals(X34,X33,tc_fun(X3,tc_bool)) ),
file('<stdin>',cls_predicate1D_0) ).
fof(c_0_330,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X12,X3),X3)
| ~ c_lessequals(X12,X24,X3) ),
file('<stdin>',cls_le__imp__neg__le_0) ).
fof(c_0_331,axiom,
! [X6,X16,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oparts(X7),tc_Message_Omsg) ),
file('<stdin>',cls_parts_OBody_0) ).
fof(c_0_332,axiom,
! [X29,X6,X7] :
( c_in(X6,c_Event_Oused(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Event_Oused(X7),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__used_0) ).
fof(c_0_333,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Event_Oused(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Event_Oused(X7),tc_Message_Omsg) ),
file('<stdin>',cls_MPair__used_1) ).
fof(c_0_334,axiom,
! [X29,X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oparts(X7),tc_Message_Omsg) ),
file('<stdin>',cls_parts_OFst_0) ).
fof(c_0_335,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oparts(X7),tc_Message_Omsg) ),
file('<stdin>',cls_parts_OSnd_0) ).
fof(c_0_336,axiom,
! [X29,X6,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz_OFst_0) ).
fof(c_0_337,axiom,
! [X29,X6,X7] :
( c_in(X29,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz_OSnd_0) ).
fof(c_0_338,axiom,
! [X6,X16,X7] :
( c_in(c_Message_OinvKey(X16),c_Message_OkeysFor(X7),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg) ),
file('<stdin>',cls_Crypt__imp__invKey__keysFor_0) ).
fof(c_0_339,axiom,
! [X42,X7] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Message_Oanalz(X7),tc_Message_Omsg),
file('<stdin>',cls_analz__insert__Nonce_0) ).
fof(c_0_340,axiom,
! [X43,X7] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X43),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X43),c_Message_Oanalz(X7),tc_Message_Omsg),
file('<stdin>',cls_analz__insert__Agent_0) ).
fof(c_0_341,axiom,
! [X42,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Message_Oparts(X7),tc_Message_Omsg),
file('<stdin>',cls_parts__insert__Nonce_0) ).
fof(c_0_342,axiom,
! [X43,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X43),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X43),c_Message_Oparts(X7),tc_Message_Omsg),
file('<stdin>',cls_parts__insert__Agent_0) ).
fof(c_0_343,axiom,
! [X12,X1,X3] : c_lessequals(X1,c_Set_Oinsert(X12,X1,X3),tc_fun(X3,tc_bool)),
file('<stdin>',cls_subset__insertI_0) ).
fof(c_0_344,axiom,
! [X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| X15 = X23
| ~ c_lessequals(X23,X15,X3)
| ~ c_lessequals(X15,X23,X3) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_345,axiom,
! [X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| X15 = X23
| ~ c_lessequals(X23,X15,X3)
| ~ c_lessequals(X15,X23,X3) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_346,axiom,
! [X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| X15 = X23
| ~ c_lessequals(X15,X23,X3)
| ~ c_lessequals(X23,X15,X3) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_347,axiom,
! [X27,X2,X3] :
( c_in(X27,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X27,X2,X3) ),
file('<stdin>',cls_ComplI_0) ).
fof(c_0_348,axiom,
! [X25,X6,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25),
file('<stdin>',cls_knows__Spy__Gets_0) ).
fof(c_0_349,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('<stdin>',cls_Compl__partition_0) ).
fof(c_0_350,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('<stdin>',cls_Compl__partition2_0) ).
fof(c_0_351,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg),
file('<stdin>',cls_spies__pubK_0) ).
fof(c_0_352,axiom,
! [X17,X18,X72,X51,X73,X52] :
( c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OSays(X73,X72,X17)
| X18 = X17 ),
file('<stdin>',cls_event_Osimps_I1_J_2) ).
fof(c_0_353,axiom,
! [X17,X18,X72,X51,X73,X52] :
( c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OSays(X73,X72,X17)
| X51 = X72 ),
file('<stdin>',cls_event_Osimps_I1_J_1) ).
fof(c_0_354,axiom,
! [X17,X18,X72,X51,X73,X52] :
( c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OSays(X73,X72,X17)
| X52 = X73 ),
file('<stdin>',cls_event_Osimps_I1_J_0) ).
fof(c_0_355,axiom,
! [X8,X68,X9,X12,X3] :
( c_List_Olist_OCons(X12,X68,X3) != c_List_Olist_OCons(X9,X8,X3)
| X68 = X8 ),
file('<stdin>',cls_list_Oinject_1) ).
fof(c_0_356,axiom,
! [X8,X68,X9,X12,X3] :
( c_List_Olist_OCons(X12,X68,X3) != c_List_Olist_OCons(X9,X8,X3)
| X12 = X9 ),
file('<stdin>',cls_list_Oinject_0) ).
fof(c_0_357,axiom,
! [X30,X4,X5,X3] :
( c_List_Oappend(X4,X5,X3) != c_List_Oappend(X30,X5,X3)
| X4 = X30 ),
file('<stdin>',cls_append__same__eq_0) ).
fof(c_0_358,axiom,
! [X30,X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != c_List_Oappend(X5,X30,X3)
| X4 = X30 ),
file('<stdin>',cls_same__append__eq_0) ).
fof(c_0_359,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oanalz(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_analz__analzD_0) ).
fof(c_0_360,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oparts(c_Message_Oparts(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_parts__partsD_0) ).
fof(c_0_361,axiom,
! [X25,X6,X1] :
( c_in(X6,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg) ),
file('<stdin>',cls_initState__into__used_0) ).
fof(c_0_362,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg) ),
file('<stdin>',cls_synth__synthD_0) ).
fof(c_0_363,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
file('<stdin>',cls_inf__sup__ord_I3_J_0) ).
fof(c_0_364,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
file('<stdin>',cls_inf__sup__ord_I4_J_0) ).
fof(c_0_365,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
file('<stdin>',cls_sup__ge2_0) ).
fof(c_0_366,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
file('<stdin>',cls_sup__ge1_0) ).
fof(c_0_367,axiom,
! [X25,X6,X2] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)) = c_Event_Oused(X25),
file('<stdin>',cls_used__Gets_0) ).
fof(c_0_368,axiom,
! [X29,X6,X7] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
file('<stdin>',cls_keysFor__insert__MPair_0) ).
fof(c_0_369,axiom,
! [X42,X7] :
( c_in(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X42),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Nonce__synth__eq_0) ).
fof(c_0_370,axiom,
! [X44,X7] :
( c_in(c_Message_Omsg_ONonce(X44),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X44),c_Message_Osynth(X7),tc_Message_Omsg) ),
file('<stdin>',cls_Nonce__synth_0) ).
fof(c_0_371,axiom,
! [X15,X1,X3] : c_in(X15,c_Set_Oinsert(X15,X1,X3),X3),
file('<stdin>',cls_insertCI_1) ).
fof(c_0_372,axiom,
! [X12,X1,X3] : c_in(X12,c_Set_Oinsert(X12,X1,X3),X3),
file('<stdin>',cls_insertI1_0) ).
fof(c_0_373,axiom,
! [X15,X2,X3] : c_in(X15,c_Set_Oinsert(X15,X2,X3),X3),
file('<stdin>',cls_insert__iff_1) ).
fof(c_0_374,axiom,
! [X42,X7] :
( c_in(c_Message_Omsg_ONonce(X42),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg) ),
file('<stdin>',cls_Nonce__synth__eq_1) ).
fof(c_0_375,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Event_Oused(X25),tc_Message_Omsg),
file('<stdin>',cls_publicKey__into__used_0) ).
fof(c_0_376,axiom,
! [X24,X1,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Event_OinitState(X1),tc_Message_Omsg),
file('<stdin>',cls_publicKey__in__initState_0) ).
fof(c_0_377,axiom,
! [X16,X7] : c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
file('<stdin>',cls_keysFor__insert__Key_0) ).
fof(c_0_378,axiom,
! [X1,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__UNIV__left_0) ).
fof(c_0_379,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__UNIV__right_0) ).
fof(c_0_380,axiom,
! [X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('<stdin>',cls_Un__commute_0) ).
fof(c_0_381,axiom,
! [X6,X16,X1] : ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg),
file('<stdin>',cls_Crypt__notin__initState_0) ).
fof(c_0_382,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__conj__parts_0) ).
fof(c_0_383,axiom,
! [X27,X7] :
( c_in(X27,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oanalz(X7),tc_Message_Omsg) ),
file('<stdin>',cls_analz__into__parts_0) ).
fof(c_0_384,axiom,
! [X27,X7] :
( ~ c_in(X27,c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(X27,c_Message_Oparts(X7),tc_Message_Omsg) ),
file('<stdin>',cls_not__parts__not__analz_0) ).
fof(c_0_385,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) != X23
| c_lessequals(X15,X23,X3) ),
file('<stdin>',cls_le__iff__sup_1) ).
fof(c_0_386,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = X15
| ~ c_lessequals(X23,X15,X3) ),
file('<stdin>',cls_sup__absorb1_0) ).
fof(c_0_387,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = X23
| ~ c_lessequals(X15,X23,X3) ),
file('<stdin>',cls_le__iff__sup_0) ).
fof(c_0_388,axiom,
! [X25,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oknows(X2,X25),tc_Message_Omsg),
file('<stdin>',cls_shrK__in__knows_0) ).
fof(c_0_389,axiom,
! [X6,X16] : ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('<stdin>',cls_Crypt__notin__used__empty_0) ).
fof(c_0_390,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X6,X7,tc_Message_Omsg) ),
file('<stdin>',cls_analz_OInj_0) ).
fof(c_0_391,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X6,X7,tc_Message_Omsg) ),
file('<stdin>',cls_parts_OInj_0) ).
fof(c_0_392,axiom,
! [X6,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,X7,tc_Message_Omsg) ),
file('<stdin>',cls_synth_OInj_0) ).
fof(c_0_393,axiom,
! [X16] :
( c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X16),c_Message_OsymKeys,tc_nat) ),
file('<stdin>',cls_symKeys__invKey__iff_0) ).
fof(c_0_394,axiom,
! [X12,X2,X3] :
( c_Set_Oinsert(X12,X2,X3) = X2
| ~ c_in(X12,X2,X3) ),
file('<stdin>',cls_insert__absorb_0) ).
fof(c_0_395,axiom,
! [X24,X2] : ~ c_in(hAPP(c_Public_OpublicKey(X24),X2),c_Message_OsymKeys,tc_nat),
file('<stdin>',cls_not__symKeys__pubK_0) ).
fof(c_0_396,axiom,
! [X16] :
( c_in(c_Message_OinvKey(X16),c_Message_OsymKeys,tc_nat)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat) ),
file('<stdin>',cls_symKeys__invKey__iff_1) ).
fof(c_0_397,axiom,
! [X15,X3] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X15)),
file('<stdin>',cls_top1I_0) ).
fof(c_0_398,axiom,
! [X25] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__knows__Spy__subset__used_0) ).
fof(c_0_399,axiom,
! [X2,X3] : c_lessequals(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('<stdin>',cls_subset__UNIV_0) ).
fof(c_0_400,axiom,
! [X25,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X25),tc_Message_Omsg),
file('<stdin>',cls_neq__shrK_0) ).
fof(c_0_401,axiom,
! [X25,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oused(X25),tc_Message_Omsg),
file('<stdin>',cls_shrK__in__used_0) ).
fof(c_0_402,axiom,
! [X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_OinitState(X2),tc_Message_Omsg),
file('<stdin>',cls_shrK__in__initState_0) ).
fof(c_0_403,axiom,
! [X42,X7] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
file('<stdin>',cls_keysFor__insert__Nonce_0) ).
fof(c_0_404,axiom,
! [X7,X2] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
file('<stdin>',cls_keysFor__insert__Agent_0) ).
fof(c_0_405,axiom,
! [X25] : ~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X25)),c_Event_Oused(X25),tc_Message_Omsg),
file('<stdin>',cls_Nonce__supply1_0) ).
fof(c_0_406,axiom,
! [X42,X1] : ~ c_in(c_Message_Omsg_ONonce(X42),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg),
file('<stdin>',cls_Nonce__notin__initState_0) ).
fof(c_0_407,axiom,
! [X1,X2,X3] :
( c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
file('<stdin>',cls_Compl__eq__Compl__iff_0) ).
fof(c_0_408,axiom,
! [X23,X15,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X23,X15,X3)
| c_lessequals(X15,X23,X3) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_409,axiom,
! [X15,X60,X3] :
( hBOOL(hAPP(X60,X15))
| ~ c_in(X15,X60,X3) ),
file('<stdin>',cls_mem__def_0) ).
fof(c_0_410,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,X15,X3) ),
file('<stdin>',cls_inf__sup__aci_I5_J_0) ).
fof(c_0_411,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,X15,X3) ),
file('<stdin>',cls_sup__commute_0) ).
fof(c_0_412,axiom,
! [X42] : ~ c_in(c_Message_Omsg_ONonce(X42),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('<stdin>',cls_Nonce__notin__used__empty_0) ).
fof(c_0_413,axiom,
! [X2,X3] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2,
file('<stdin>',cls_double__complement_0) ).
fof(c_0_414,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_ONotes(X19,X17),
file('<stdin>',cls_event_Osimps_I6_J_0) ).
fof(c_0_415,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_ONotes(X19,X17) != c_Event_Oevent_OSays(X52,X51,X18),
file('<stdin>',cls_event_Osimps_I7_J_0) ).
fof(c_0_416,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_OGets(X19,X17) != c_Event_Oevent_OSays(X52,X51,X18),
file('<stdin>',cls_event_Osimps_I5_J_0) ).
fof(c_0_417,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OGets(X19,X17),
file('<stdin>',cls_event_Osimps_I4_J_0) ).
fof(c_0_418,axiom,
! [X15,X3] : c_in(X15,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3),
file('<stdin>',cls_UNIV__I_0) ).
fof(c_0_419,axiom,
! [X25,X2] : c_lessequals(c_Event_OinitState(X2),c_Event_Oknows(X2,X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_initState__subset__knows_0) ).
fof(c_0_420,axiom,
! [X15,X60,X3] :
( c_in(X15,X60,X3)
| ~ hBOOL(hAPP(X60,X15)) ),
file('<stdin>',cls_mem__def_1) ).
fof(c_0_421,axiom,
! [X27,X24,X32,X2] : hAPP(c_Public_OpublicKey(X27),X32) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2)),
file('<stdin>',cls_publicKey__neq__privateKey_0) ).
fof(c_0_422,axiom,
! [X27,X24,X32,X2] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2)) != hAPP(c_Public_OpublicKey(X27),X32),
file('<stdin>',cls_privateKey__neq__publicKey_0) ).
fof(c_0_423,axiom,
! [X4,X5,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X5,X4,X3)
| X5 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__append__conv_0) ).
fof(c_0_424,axiom,
! [X4,X5,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X5,X4,X3)
| X4 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_Nil__is__append__conv_1) ).
fof(c_0_425,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != c_List_Olist_ONil(X3)
| X5 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__is__Nil__conv_0) ).
fof(c_0_426,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != c_List_Olist_ONil(X3)
| X4 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__is__Nil__conv_1) ).
fof(c_0_427,axiom,
! [X7] : c_Message_Oanalz(c_Message_Osynth(X7)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X7),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__synth_0) ).
fof(c_0_428,axiom,
! [X7] : c_Message_Oparts(c_Message_Osynth(X7)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X7),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__synth_0) ).
fof(c_0_429,axiom,
! [X2,X3] : c_in(c_List_Olist_ONil(X3),c_List_Olists(X2,X3),tc_List_Olist(X3)),
file('<stdin>',cls_lists_ONil_0) ).
fof(c_0_430,axiom,
! [X25] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_used__nil__subset_0) ).
fof(c_0_431,axiom,
! [X4,X5,X3] :
( X4 != c_List_Oappend(X5,X4,X3)
| X5 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_self__append__conv2_0) ).
fof(c_0_432,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != X4
| X5 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__self__conv2_0) ).
fof(c_0_433,axiom,
! [X4,X5,X3] :
( X5 != c_List_Oappend(X5,X4,X3)
| X4 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_self__append__conv_0) ).
fof(c_0_434,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != X5
| X4 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_append__self__conv_0) ).
fof(c_0_435,axiom,
! [X8,X9,X3] : c_List_Olist_OCons(X9,X8,X3) != c_List_Olist_ONil(X3),
file('<stdin>',cls_list_Osimps_I3_J_0) ).
fof(c_0_436,axiom,
! [X47,X15,X3] : c_List_Olist_OCons(X15,X47,X3) != c_List_Olist_ONil(X3),
file('<stdin>',cls_neq__Nil__conv_1) ).
fof(c_0_437,axiom,
! [X8,X9,X3] : c_List_Olist_ONil(X3) != c_List_Olist_OCons(X9,X8,X3),
file('<stdin>',cls_list_Osimps_I2_J_0) ).
fof(c_0_438,axiom,
! [X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_HOL_Ouminus__class_Ouminus(X15,X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_sup__compl__top_0) ).
fof(c_0_439,axiom,
! [X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X15,X3),X15,X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_compl__sup__top_0) ).
fof(c_0_440,axiom,
! [X29,X6,X3] :
( X6 = X29
| ~ c_fequal(X6,X29,X3) ),
file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
fof(c_0_441,axiom,
! [X15,X49,X3] : c_List_Olist_OCons(X15,X49,X3) != X49,
file('<stdin>',cls_not__Cons__self2_0) ).
fof(c_0_442,axiom,
! [X5,X15,X3] : X5 != c_List_Olist_OCons(X15,X5,X3),
file('<stdin>',cls_not__Cons__self_0) ).
fof(c_0_443,axiom,
! [X7] : c_lessequals(c_Message_Oanalz(X7),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__subset__parts_0) ).
fof(c_0_444,axiom,
! [X16] :
( c_Message_OinvKey(X16) = X16
| ~ c_in(X16,c_Message_OsymKeys,tc_nat) ),
file('<stdin>',cls_invKey__K_0) ).
fof(c_0_445,axiom,
! [X24,X14,X2] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X14)) != hAPP(c_Public_OshrK,X2),
file('<stdin>',cls_shrK__neq__priK_0) ).
fof(c_0_446,axiom,
! [X24,X14,X2] : hAPP(c_Public_OshrK,X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X14)),
file('<stdin>',cls_priK__neq__shrK_0) ).
fof(c_0_447,axiom,
! [X7] : c_lessequals(X7,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_analz__increasing_0) ).
fof(c_0_448,axiom,
! [X7] : c_lessequals(X7,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_parts__increasing_0) ).
fof(c_0_449,axiom,
! [X7] : c_lessequals(X7,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('<stdin>',cls_synth__increasing_0) ).
fof(c_0_450,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('<stdin>',cls_Server__not__bad_0) ).
fof(c_0_451,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,X2,tc_fun(X3,tc_bool)) = X2,
file('<stdin>',cls_Un__absorb_0) ).
fof(c_0_452,axiom,
! [X2,X3] : c_lessequals(X2,X2,tc_fun(X3,tc_bool)),
file('<stdin>',cls_subset__refl_0) ).
fof(c_0_453,axiom,
! [X15,X3] : c_lessequals(X15,X15,tc_fun(X3,tc_bool)),
file('<stdin>',cls_equalityE_0) ).
fof(c_0_454,axiom,
! [X6] : c_in(hAPP(c_Public_OshrK,X6),c_Message_OsymKeys,tc_nat),
file('<stdin>',cls_sym__shrK_0) ).
fof(c_0_455,axiom,
! [X15,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_sup__top__right_0) ).
fof(c_0_456,axiom,
! [X15,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X15,X3) = c_Orderings_Otop__class_Otop(X3) ),
file('<stdin>',cls_sup__top__left_0) ).
fof(c_0_457,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_Nil__is__append__conv_2) ).
fof(c_0_458,axiom,
! [X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_append__is__Nil__conv_2) ).
fof(c_0_459,axiom,
! [X15,X3] :
( ~ class_Orderings_Otop(X3)
| c_lessequals(X15,c_Orderings_Otop__class_Otop(X3),X3) ),
file('<stdin>',cls_top__greatest_0) ).
fof(c_0_460,axiom,
! [X27,X24,X32,X2] :
( hAPP(c_Public_OpublicKey(X24),X2) != hAPP(c_Public_OpublicKey(X27),X32)
| X24 = X27 ),
file('<stdin>',cls_publicKey__inject_0) ).
fof(c_0_461,axiom,
! [X27,X24,X32,X2] :
( hAPP(c_Public_OpublicKey(X24),X2) != hAPP(c_Public_OpublicKey(X27),X32)
| X2 = X32 ),
file('<stdin>',cls_publicKey__inject_1) ).
fof(c_0_462,axiom,
! [X43,X7] : c_in(c_Message_Omsg_OAgent(X43),c_Message_Osynth(X7),tc_Message_Omsg),
file('<stdin>',cls_synth_OAgent_0) ).
fof(c_0_463,axiom,
! [X7,X2] : c_in(c_Message_Omsg_OAgent(X2),c_Message_Osynth(X7),tc_Message_Omsg),
file('<stdin>',cls_Agent__synth_0) ).
fof(c_0_464,axiom,
! [X26,X3] : c_List_Olist__inter(c_List_Olist_ONil(X3),X26,X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_list__inter_Osimps_I1_J_0) ).
fof(c_0_465,axiom,
! [X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X15,X3) = X15 ),
file('<stdin>',cls_sup__idem_0) ).
fof(c_0_466,axiom,
! [X15,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X15,X15,X3) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_467,axiom,
! [X15,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X15,X15,X3) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_468,axiom,
! [X5,X3] : c_List_Oappend(X5,c_List_Olist_ONil(X3),X3) = X5,
file('<stdin>',cls_append__Nil2_0) ).
fof(c_0_469,axiom,
! [X15,X3] : X15 = c_List_Oappend(c_List_Olist_ONil(X3),X15,X3),
file('<stdin>',cls_eq__Nil__appendI_0) ).
fof(c_0_470,axiom,
! [X5,X3] : X5 = c_List_Oappend(X5,c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_self__append__conv_1) ).
fof(c_0_471,axiom,
! [X4,X3] : c_List_Oappend(c_List_Olist_ONil(X3),X4,X3) = X4,
file('<stdin>',cls_append__Nil_0) ).
fof(c_0_472,axiom,
! [X4,X3] : X4 = c_List_Oappend(c_List_Olist_ONil(X3),X4,X3),
file('<stdin>',cls_self__append__conv2_1) ).
fof(c_0_473,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('<stdin>',cls_ns__shared_ONil_0) ).
fof(c_0_474,axiom,
! [X15,X3] : c_fequal(X15,X15,X3),
file('<stdin>',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
fof(c_0_475,axiom,
! [X5,X3] : c_List_Oset(c_List_Oremdups(X5,X3),X3) = c_List_Oset(X5,X3),
file('<stdin>',cls_set__remdups_0) ).
fof(c_0_476,axiom,
! [X23,X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(X15,X3) != c_HOL_Ouminus__class_Ouminus(X23,X3)
| X15 = X23 ),
file('<stdin>',cls_compl__eq__compl__iff_0) ).
fof(c_0_477,axiom,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(X12,X3) != c_HOL_Ouminus__class_Ouminus(X24,X3)
| X12 = X24 ),
file('<stdin>',cls_neg__equal__iff__equal_0) ).
fof(c_0_478,axiom,
! [X24,X14,X2] : hAPP(c_Public_OpublicKey(X24),X14) != hAPP(c_Public_OshrK,X2),
file('<stdin>',cls_shrK__neq__pubK_0) ).
fof(c_0_479,axiom,
! [X24,X14,X2] : hAPP(c_Public_OshrK,X2) != hAPP(c_Public_OpublicKey(X24),X14),
file('<stdin>',cls_pubK__neq__shrK_0) ).
fof(c_0_480,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('<stdin>',cls_Spy__in__bad_0) ).
fof(c_0_481,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) = X24 ),
file('<stdin>',cls_minus__equation__iff_1) ).
fof(c_0_482,axiom,
! [X12,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X12 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X3),X3) ),
file('<stdin>',cls_equation__minus__iff_1) ).
fof(c_0_483,axiom,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X24 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
file('<stdin>',cls_equation__minus__iff_0) ).
fof(c_0_484,axiom,
! [X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X15,X3),X3) = X15 ),
file('<stdin>',cls_double__compl_0) ).
fof(c_0_485,axiom,
! [X12,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X3),X3) = X12 ),
file('<stdin>',cls_minus__minus_0) ).
fof(c_0_486,axiom,
! [X75,X78,X76,X79] :
( c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_OMPair(X76,X75)
| X78 = X75 ),
file('<stdin>',cls_msg_Osimps_I6_J_1) ).
fof(c_0_487,axiom,
! [X75,X78,X76,X79] :
( c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_OMPair(X76,X75)
| X79 = X76 ),
file('<stdin>',cls_msg_Osimps_I6_J_0) ).
fof(c_0_488,axiom,
! [X70,X71,X17,X18] :
( c_Message_Omsg_OCrypt(X71,X18) != c_Message_Omsg_OCrypt(X70,X17)
| X18 = X17 ),
file('<stdin>',cls_msg_Osimps_I7_J_1) ).
fof(c_0_489,axiom,
! [X70,X71,X17,X18] :
( c_Message_Omsg_OCrypt(X71,X18) != c_Message_Omsg_OCrypt(X70,X17)
| X71 = X70 ),
file('<stdin>',cls_msg_Osimps_I7_J_0) ).
fof(c_0_490,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_ONotes(X20,X18) != c_Event_Oevent_ONotes(X19,X17)
| X20 = X19 ),
file('<stdin>',cls_event_Osimps_I3_J_0) ).
fof(c_0_491,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_ONotes(X20,X18) != c_Event_Oevent_ONotes(X19,X17)
| X18 = X17 ),
file('<stdin>',cls_event_Osimps_I3_J_1) ).
fof(c_0_492,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_OGets(X20,X18) != c_Event_Oevent_OGets(X19,X17)
| X18 = X17 ),
file('<stdin>',cls_event_Osimps_I2_J_1) ).
fof(c_0_493,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_OGets(X20,X18) != c_Event_Oevent_OGets(X19,X17)
| X20 = X19 ),
file('<stdin>',cls_event_Osimps_I2_J_0) ).
fof(c_0_494,axiom,
! [X70,X17,X78,X79] : c_Message_Omsg_OCrypt(X70,X17) != c_Message_Omsg_OMPair(X79,X78),
file('<stdin>',cls_msg_Osimps_I49_J_0) ).
fof(c_0_495,axiom,
! [X70,X17,X78,X79] : c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_OCrypt(X70,X17),
file('<stdin>',cls_msg_Osimps_I48_J_0) ).
fof(c_0_496,axiom,
! [X17,X18,X19,X20] : c_Event_Oevent_OGets(X20,X18) != c_Event_Oevent_ONotes(X19,X17),
file('<stdin>',cls_event_Osimps_I8_J_0) ).
fof(c_0_497,axiom,
! [X17,X18,X19,X20] : c_Event_Oevent_ONotes(X19,X17) != c_Event_Oevent_OGets(X20,X18),
file('<stdin>',cls_event_Osimps_I9_J_0) ).
fof(c_0_498,axiom,
! [X70,X71,X17] : hAPP(c_Message_Omsg_OKey,X71) != c_Message_Omsg_OCrypt(X70,X17),
file('<stdin>',cls_msg_Osimps_I42_J_0) ).
fof(c_0_499,axiom,
! [X71,X75,X76] : c_Message_Omsg_OMPair(X76,X75) != hAPP(c_Message_Omsg_OKey,X71),
file('<stdin>',cls_msg_Osimps_I41_J_0) ).
fof(c_0_500,axiom,
! [X71,X75,X76] : hAPP(c_Message_Omsg_OKey,X71) != c_Message_Omsg_OMPair(X76,X75),
file('<stdin>',cls_msg_Osimps_I40_J_0) ).
fof(c_0_501,axiom,
! [X70,X71,X17] : c_Message_Omsg_OCrypt(X70,X17) != hAPP(c_Message_Omsg_OKey,X71),
file('<stdin>',cls_msg_Osimps_I43_J_0) ).
fof(c_0_502,axiom,
! [X23,X15] :
( hAPP(c_Public_OshrK,X15) != hAPP(c_Public_OshrK,X23)
| X15 = X23 ),
file('<stdin>',cls_shrK__injective_0) ).
fof(c_0_503,axiom,
! [X70,X71] :
( hAPP(c_Message_Omsg_OKey,X71) != hAPP(c_Message_Omsg_OKey,X70)
| X71 = X70 ),
file('<stdin>',cls_msg_Osimps_I4_J_0) ).
fof(c_0_504,axiom,
! [X5,X3] : c_List_Odistinct(c_List_Oremdups(X5,X3),X3),
file('<stdin>',cls_distinct__remdups_0) ).
fof(c_0_505,axiom,
! [X2] : c_Message_OinvKey(hAPP(c_Public_OshrK,X2)) = hAPP(c_Public_OshrK,X2),
file('<stdin>',cls_invKey__shrK_0) ).
fof(c_0_506,axiom,
! [X5,X3] :
( c_List_Oremdups(X5,X3) != X5
| c_List_Odistinct(X5,X3) ),
file('<stdin>',cls_remdups__id__iff__distinct_0) ).
fof(c_0_507,axiom,
! [X5,X3] :
( c_List_Oremdups(X5,X3) = X5
| ~ c_List_Odistinct(X5,X3) ),
file('<stdin>',cls_distinct__remdups__id_0) ).
fof(c_0_508,axiom,
! [X80,X81] :
( class_HOL_Oord(tc_fun(X80,X81))
| ~ class_HOL_Oord(X81) ),
file('<stdin>',clsarity_fun__HOL_Oord) ).
fof(c_0_509,axiom,
! [X80,X81] :
( class_Orderings_Otop(tc_fun(X80,X81))
| ~ class_Orderings_Otop(X81) ),
file('<stdin>',clsarity_fun__Orderings_Otop) ).
fof(c_0_510,axiom,
! [X80,X81] :
( class_Orderings_Oorder(tc_fun(X80,X81))
| ~ class_Orderings_Oorder(X81) ),
file('<stdin>',clsarity_fun__Orderings_Oorder) ).
fof(c_0_511,axiom,
! [X80,X81] :
( class_Lattices_Olattice(tc_fun(X80,X81))
| ~ class_Lattices_Olattice(X81) ),
file('<stdin>',clsarity_fun__Lattices_Olattice) ).
fof(c_0_512,axiom,
! [X80,X81] :
( class_Orderings_Opreorder(tc_fun(X80,X81))
| ~ class_Orderings_Opreorder(X81) ),
file('<stdin>',clsarity_fun__Orderings_Opreorder) ).
fof(c_0_513,axiom,
! [X80,X81] :
( class_Lattices_Oboolean__algebra(tc_fun(X80,X81))
| ~ class_Lattices_Oboolean__algebra(X81) ),
file('<stdin>',clsarity_fun__Lattices_Oboolean__algebra) ).
fof(c_0_514,axiom,
! [X80,X81] :
( class_Lattices_Obounded__lattice(tc_fun(X80,X81))
| ~ class_Lattices_Obounded__lattice(X81) ),
file('<stdin>',clsarity_fun__Lattices_Obounded__lattice) ).
fof(c_0_515,axiom,
! [X80,X81] :
( class_Lattices_Oupper__semilattice(tc_fun(X80,X81))
| ~ class_Lattices_Olattice(X81) ),
file('<stdin>',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(c_0_516,axiom,
! [X15,X3] :
( c_List_Olist_ONil(X3) != c_List_Oremdups(X15,X3)
| X15 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_remdups__eq__nil__right__iff_0) ).
fof(c_0_517,axiom,
! [X15,X3] :
( c_List_Oremdups(X15,X3) != c_List_Olist_ONil(X3)
| X15 = c_List_Olist_ONil(X3) ),
file('<stdin>',cls_remdups__eq__nil__iff_0) ).
fof(c_0_518,axiom,
! [X71,X75,X76] : c_Message_Omsg_OMPair(X76,X75) != c_Message_Omsg_ONonce(X71),
file('<stdin>',cls_msg_Osimps_I35_J_0) ).
fof(c_0_519,axiom,
! [X70,X71,X17] : c_Message_Omsg_ONonce(X71) != c_Message_Omsg_OCrypt(X70,X17),
file('<stdin>',cls_msg_Osimps_I36_J_0) ).
fof(c_0_520,axiom,
! [X70,X17,X20] : c_Message_Omsg_OCrypt(X70,X17) != c_Message_Omsg_OAgent(X20),
file('<stdin>',cls_msg_Osimps_I19_J_0) ).
fof(c_0_521,axiom,
! [X71,X75,X76] : c_Message_Omsg_ONonce(X71) != c_Message_Omsg_OMPair(X76,X75),
file('<stdin>',cls_msg_Osimps_I34_J_0) ).
fof(c_0_522,axiom,
! [X70,X17,X20] : c_Message_Omsg_OAgent(X20) != c_Message_Omsg_OCrypt(X70,X17),
file('<stdin>',cls_msg_Osimps_I18_J_0) ).
fof(c_0_523,axiom,
! [X75,X76,X20] : c_Message_Omsg_OAgent(X20) != c_Message_Omsg_OMPair(X76,X75),
file('<stdin>',cls_msg_Osimps_I16_J_0) ).
fof(c_0_524,axiom,
! [X75,X76,X20] : c_Message_Omsg_OMPair(X76,X75) != c_Message_Omsg_OAgent(X20),
file('<stdin>',cls_msg_Osimps_I17_J_0) ).
fof(c_0_525,axiom,
! [X70,X71,X17] : c_Message_Omsg_OCrypt(X70,X17) != c_Message_Omsg_ONonce(X71),
file('<stdin>',cls_msg_Osimps_I37_J_0) ).
fof(c_0_526,axiom,
! [X70,X20] : hAPP(c_Message_Omsg_OKey,X70) != c_Message_Omsg_OAgent(X20),
file('<stdin>',cls_msg_Osimps_I13_J_0) ).
fof(c_0_527,axiom,
! [X70,X71] : c_Message_Omsg_ONonce(X71) != hAPP(c_Message_Omsg_OKey,X70),
file('<stdin>',cls_msg_Osimps_I30_J_0) ).
fof(c_0_528,axiom,
! [X70,X71] : hAPP(c_Message_Omsg_OKey,X70) != c_Message_Omsg_ONonce(X71),
file('<stdin>',cls_msg_Osimps_I31_J_0) ).
fof(c_0_529,axiom,
! [X70,X20] : c_Message_Omsg_OAgent(X20) != hAPP(c_Message_Omsg_OKey,X70),
file('<stdin>',cls_msg_Osimps_I12_J_0) ).
fof(c_0_530,axiom,
! [X3] : c_List_Oremdups(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
file('<stdin>',cls_remdups__eq__nil__iff_1) ).
fof(c_0_531,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oremdups(c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_remdups__eq__nil__right__iff_1) ).
fof(c_0_532,axiom,
! [X2] : c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X2),
file('<stdin>',cls_knows__Nil_0) ).
fof(c_0_533,axiom,
! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3),
file('<stdin>',cls_distinct_Osimps_I1_J_0) ).
fof(c_0_534,axiom,
! [X70,X71] :
( c_Message_Omsg_ONonce(X71) != c_Message_Omsg_ONonce(X70)
| X71 = X70 ),
file('<stdin>',cls_msg_Osimps_I3_J_0) ).
fof(c_0_535,axiom,
! [X19,X20] :
( c_Message_Omsg_OAgent(X20) != c_Message_Omsg_OAgent(X19)
| X20 = X19 ),
file('<stdin>',cls_msg_Osimps_I1_J_0) ).
fof(c_0_536,axiom,
! [X31,X16] :
( c_Message_OinvKey(X16) != c_Message_OinvKey(X31)
| X16 = X31 ),
file('<stdin>',cls_invKey__eq_0) ).
fof(c_0_537,axiom,
! [X7] : c_Message_Oanalz(c_Message_Oparts(X7)) = c_Message_Oparts(X7),
file('<stdin>',cls_analz__parts_0) ).
fof(c_0_538,axiom,
! [X7] : c_Message_Oparts(c_Message_Oparts(X7)) = c_Message_Oparts(X7),
file('<stdin>',cls_parts__idem_0) ).
fof(c_0_539,axiom,
! [X7] : c_Message_Oanalz(c_Message_Oanalz(X7)) = c_Message_Oanalz(X7),
file('<stdin>',cls_analz__idem_0) ).
fof(c_0_540,axiom,
! [X7] : c_Message_Oparts(c_Message_Oanalz(X7)) = c_Message_Oparts(X7),
file('<stdin>',cls_parts__analz_0) ).
fof(c_0_541,axiom,
! [X7] : c_Message_Osynth(c_Message_Osynth(X7)) = c_Message_Osynth(X7),
file('<stdin>',cls_synth__idem_0) ).
fof(c_0_542,axiom,
! [X70,X20] : c_Message_Omsg_OAgent(X20) != c_Message_Omsg_ONonce(X70),
file('<stdin>',cls_msg_Osimps_I10_J_0) ).
fof(c_0_543,axiom,
! [X70,X20] : c_Message_Omsg_ONonce(X70) != c_Message_Omsg_OAgent(X20),
file('<stdin>',cls_msg_Osimps_I11_J_0) ).
fof(c_0_544,axiom,
! [X16] : c_Message_OinvKey(c_Message_OinvKey(X16)) = X16,
file('<stdin>',cls_invKey_0) ).
fof(c_0_545,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
file('<stdin>',cls_ns__sharedp_ONil_0) ).
fof(c_0_546,axiom,
class_HOL_Oord(tc_bool),
file('<stdin>',clsarity_bool__HOL_Oord) ).
fof(c_0_547,axiom,
class_Orderings_Otop(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Otop) ).
fof(c_0_548,axiom,
class_Orderings_Oorder(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Oorder) ).
fof(c_0_549,axiom,
class_Lattices_Olattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Olattice) ).
fof(c_0_550,axiom,
class_Orderings_Opreorder(tc_bool),
file('<stdin>',clsarity_bool__Orderings_Opreorder) ).
fof(c_0_551,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Oboolean__algebra) ).
fof(c_0_552,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Obounded__lattice) ).
fof(c_0_553,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('<stdin>',clsarity_bool__Lattices_Oupper__semilattice) ).
fof(c_0_554,axiom,
class_HOL_Oord(tc_nat),
file('<stdin>',clsarity_nat__HOL_Oord) ).
fof(c_0_555,axiom,
class_Orderings_Oorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Oorder) ).
fof(c_0_556,axiom,
class_Lattices_Olattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Olattice) ).
fof(c_0_557,axiom,
class_Orderings_Olinorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Olinorder) ).
fof(c_0_558,axiom,
class_Orderings_Opreorder(tc_nat),
file('<stdin>',clsarity_nat__Orderings_Opreorder) ).
fof(c_0_559,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('<stdin>',clsarity_nat__Lattices_Oupper__semilattice) ).
fof(c_0_560,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('<stdin>',cls_agent_Osimps_I5_J_0) ).
fof(c_0_561,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('<stdin>',cls_agent_Osimps_I4_J_0) ).
fof(c_0_562,plain,
! [X66,X57,X61,X1,X32,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OAgent(X2)))))))),X66,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X66,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X61,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oused(X66),tc_Message_Omsg)
| ~ c_in(X66,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_563,plain,
! [X66,X57,X61,X1,X32,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OAgent(X2)))))))),X66,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X66,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X61,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oused(X66),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X66) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_564,plain,
! [X25,X57,X16,X1,X2] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X16,X57,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_565,plain,
! [X25,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_566,plain,
! [X25,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X2,X1,X16,X25),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_567,plain,
! [X25,X46,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X16,X46,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X46,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X46,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_568,plain,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X6 = X41
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_569,plain,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X1 = X63
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_570,plain,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X57 = X77
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_571,plain,
! [X25,X41,X6,X77,X57,X16,X63,X1,X32,X2] :
( X2 = X32
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X32,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X32),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X41))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_572,plain,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_573,plain,
! [X25,X46,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X46,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_lessequals(X46,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_574,plain,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_575,plain,
! [X25,X46,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X46,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X46,tc_nat)
| ~ c_lessequals(X46,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_576,plain,
! [X64,X6,X58,X57,X16,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),hAPP(c_Message_Omsg_OKey,X16)))),X64,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X64,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_577,plain,
! [X25,X6,X57,X31,X16,X1,X2] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X16,X57,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_578,plain,
! [X62,X6,X60,X58,X57,X16,X63,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),X62,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X63,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(X62,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_579,plain,
! [X64,X6,X58,X57,X16,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),hAPP(c_Message_Omsg_OKey,X16)))),X64,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X64) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_580,plain,
! [X62,X6,X60,X58,X57,X16,X63,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),X62,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X63,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X62,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X62) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_581,plain,
! [X59,X6,X60,X57,X16,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X59,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OServer
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_582,plain,
! [X25,X6,X60,X57,X16,X1,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_583,plain,
! [X59,X6,X60,X57,X16,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X59,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OServer
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X59) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_584,plain,
! [X25,X6,X42,X31,X16,X1,X2] :
( ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_585,plain,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X1,X6,X25),X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_586,plain,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_587,plain,
! [X25,X6,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_588,plain,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X16,X57,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_589,plain,
! [X25,X6,X60,X57,X16,X1,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X57),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_590,plain,
! [X25,X6,X42,X31,X16,X1,X2] :
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_591,plain,
! [X25,X6,X42,X31,X16,X1,X2] :
( X31 = hAPP(c_Public_OshrK,X2)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(X31,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_592,plain,
! [X25,X6,X57,X16,X1,X2] :
( ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_593,plain,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_594,plain,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_595,plain,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_596,plain,
! [X40,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X40,tc_nat,tc_Message_Omsg),X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X16,X40,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_597,plain,
! [X25,X6,X58,X57,X16,X1,X2] :
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),X25)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_598,plain,
! [X25,X58,X16,X1,X2] :
( c_in(c_Event_Oevent_OSays(X2,X1,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X16,X25),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X16,X25),hAPP(c_Message_Omsg_OKey,X16)))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X58),c_Message_Omsg_ONonce(X58))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_599,plain,
! [X10,X2,X11,X3] :
( c_lessequals(c_Set_Oimage(X10,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X11),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X10,X2,X3,X11),tc_fun(X11,tc_bool)),tc_fun(X11,tc_bool))
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_600,plain,
! [X10,X1,X2,X11,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X10,X2,X3,X11),c_Set_Oimage(X10,X1,X3,X11),tc_fun(X11,tc_bool))
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_601,plain,
! [X65,X58,X16,X1,X32,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),X65,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_Omsg_ONonce(X58),c_Event_Oused(X65),tc_Message_Omsg)
| ~ c_in(X65,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_602,plain,
! [X25,X6,X57,X16,X1,X2] :
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_603,plain,
! [X25,X6,X57,X16,X1,X2] :
( c_in(X16,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X57,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X16,X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_604,plain,
! [X65,X58,X16,X1,X32,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X58))),X65,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X32,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X16),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_Omsg_ONonce(X58),c_Event_Oused(X65),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X65) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_605,plain,
! [X10,X1,X2,X11,X3] :
( c_lessequals(c_Set_Oimage(X10,X2,X3,X11),c_Set_Oimage(X10,X1,X3,X11),tc_fun(X11,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_606,plain,
! [X6,X16,X7,X21] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oparts(X7),tc_Message_Omsg)
| c_in(X16,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X16,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X6,X21,tc_Message_Omsg))),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_607,plain,
! [X25,X6,X60,X42,X74,X16,X1,X2] :
( c_in(X6,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X60,X2,c_Message_Omsg_OCrypt(X74,c_Message_Omsg_OMPair(X42,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X16,X6))))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_608,plain,
! [X25,X61,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| X16 = X61
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X61,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_609,plain,
! [X25,X6,X1,X2] :
( c_in(c_Event_Oevent_OSays(X2,X1,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X2,X1,X6,X25)),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X2,X1,X6,X25) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_610,plain,
! [X25,X27,X6,X1,X2] :
( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_611,plain,
! [X10,X24,X11,X3] :
( X24 = hAPP(X10,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X24,X10,X3,X11))
| ~ c_in(X24,c_Set_Oimage(X10,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)),X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_612,axiom,
! [X10,X1,X2,X11,X3] : c_Set_Oimage(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X11,tc_bool)),X11,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X10,X2,X11,X3),c_Set_Oimage(X10,X1,X11,X3),tc_fun(X3,tc_bool)),
c_0_50 ).
fof(c_0_613,axiom,
! [X10,X1,X2,X11,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X10,X2,X11,X3),c_Set_Oimage(X10,X1,X11,X3),tc_fun(X3,tc_bool)) = c_Set_Oimage(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X11,tc_bool)),X11,X3),
c_0_51 ).
fof(c_0_614,plain,
! [X10,X12,X2,X11,X3] :
( c_in(X12,X2,X3)
| ~ c_in(hAPP(X10,X12),c_Set_Oimage(X10,X2,X3,X11),X11)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_615,plain,
! [X10,X1,X2,X11,X3] :
( c_Set_Oimage(X10,X2,X3,X11) != c_Set_Oimage(X10,X1,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3,X11)
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_616,plain,
! [X25,X61,X16] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X61),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X61,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_617,plain,
! [X10,X1,X2,X11,X3] :
( c_Set_Oimage(X10,X2,X3,X11) != c_Set_Oimage(X10,X1,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11)
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_618,plain,
! [X15,X25] :
( c_in(X15,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X15),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X15),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_619,plain,
! [X15,X10,X2,X11,X3] :
( ~ c_lessequals(X15,X2,tc_fun(X11,tc_bool))
| c_lessequals(c_Set_Oimage(X10,X15,X11,X3),c_Set_Oimage(X10,X2,X11,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_620,plain,
! [X10,X1,X2,X11,X3] :
( c_lessequals(c_Set_Oimage(X10,X2,X3,X11),c_Set_Oimage(X10,X1,X3,X11),tc_fun(X11,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_621,plain,
! [X6,X7,X21] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X21)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X21)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_622,plain,
! [X10,X12,X2,X11,X3] :
( c_in(hAPP(X10,X12),c_Set_Oimage(X10,X2,X3,X11),X11)
| ~ c_in(X12,X2,X3)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_623,plain,
! [X6,X16,X7] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_624,plain,
! [X6,X16,X7] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_625,plain,
! [X56,X57,X1,X2] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X57),c_Event_Oused(X56),tc_Message_Omsg)
| ~ c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_626,plain,
! [X25,X16] :
( ~ c_in(X16,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Event_Oused(X25),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_627,plain,
! [X15,X10,X1,X2,X11,X3] :
( c_in(hAPP(X10,X15),X1,X3)
| ~ c_in(X15,X2,X11)
| ~ c_lessequals(c_Set_Oimage(X10,X2,X11,X3),X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_628,plain,
! [X25,X69,X16,X1,X2] :
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X69)),X25)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X16,c_Message_Omsg_ONonce(X69))),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_629,plain,
! [X15,X27,X24,X28] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X15)),c_Set_Oimage(c_Public_OpublicKey(X27),X28,tc_Message_Oagent,tc_nat),tc_nat),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_630,plain,
! [X15,X27,X24,X28] :
( c_in(X15,X28,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X24),X15),c_Set_Oimage(c_Public_OpublicKey(X27),X28,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_631,axiom,
! [X6,X16,X7] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_69 ).
fof(c_0_632,plain,
! [X15,X24,X28] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X15)),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_633,plain,
! [X35,X7,X36,X21] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X36,X35,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X7),c_Message_Oanalz(X35),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X36),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_634,plain,
! [X56,X57,X1,X2] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_ONonce(X57)))),X56,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X57),c_Event_Oused(X56),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X56) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_635,plain,
! [X15,X28] :
( c_in(X15,X28,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X15),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_636,plain,
! [X15,X2] :
( c_in(X15,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X15),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_637,plain,
! [X15,X27,X24,X28] :
( X24 = X27
| ~ c_in(hAPP(c_Public_OpublicKey(X24),X15),c_Set_Oimage(c_Public_OpublicKey(X27),X28,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_638,axiom,
! [X10,X12,X1,X11,X3] : c_Set_Oinsert(hAPP(X10,X12),c_Set_Oimage(X10,X1,X11,X3),X3) = c_Set_Oimage(X10,c_Set_Oinsert(X12,X1,X11),X11,X3),
c_0_76 ).
fof(c_0_639,axiom,
! [X10,X12,X1,X11,X3] : c_Set_Oimage(X10,c_Set_Oinsert(X12,X1,X11),X11,X3) = c_Set_Oinsert(hAPP(X10,X12),c_Set_Oimage(X10,X1,X11,X3),X3),
c_0_77 ).
fof(c_0_640,plain,
! [X15,X10,X2,X11,X3] :
( c_Set_Oinsert(hAPP(X10,X15),c_Set_Oimage(X10,X2,X3,X11),X11) = c_Set_Oimage(X10,X2,X3,X11)
| ~ c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_641,plain,
! [X15,X24,X28] : ~ c_in(hAPP(c_Public_OpublicKey(X24),X15),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_642,plain,
! [X15,X24,X28] : ~ c_in(hAPP(c_Public_OshrK,X15),c_Set_Oimage(c_Public_OpublicKey(X24),X28,tc_Message_Oagent,tc_nat),tc_nat),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_643,plain,
! [X25,X27,X6,X2] :
( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_644,plain,
! [X25,X27,X6,X2] :
( ~ c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_645,plain,
! [X6,X16,X2] : ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_646,plain,
! [X10,X1,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X2,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_647,plain,
! [X10,X1,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X1,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_648,axiom,
! [X29,X6,X7] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),c_Message_Oanalz(c_Set_Oinsert(X6,c_Set_Oinsert(X29,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
c_0_86 ).
fof(c_0_649,axiom,
! [X29,X6,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),c_Message_Oparts(c_Set_Oinsert(X6,c_Set_Oinsert(X29,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
c_0_87 ).
fof(c_0_650,plain,
! [X29,X6,X7,X21] :
( c_in(X29,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Oparts(c_Set_Oinsert(X6,X21,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_651,plain,
! [X15,X2] : ~ c_in(c_Message_Omsg_ONonce(X15),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_652,axiom,
! [X25,X6,X1,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg),
c_0_90 ).
fof(c_0_653,plain,
! [X10,X12,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X2,X3,X11)
| ~ c_Fun_Oinj__on(X10,c_Set_Oinsert(X12,X2,X3),X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_654,axiom,
! [X53,X47,X15,X3] :
( c_in(X15,c_List_Oset(c_List_Oappend(X47,c_List_Olist_OCons(X15,X53,X3),X3),X3),X3)
| c_in(X15,c_List_Oset(X47,X3),X3) ),
c_0_92 ).
fof(c_0_655,axiom,
! [X53,X47,X15,X3] :
( c_in(X15,c_List_Oset(c_List_Oappend(X47,c_List_Olist_OCons(X15,X53,X3),X3),X3),X3)
| c_in(X15,c_List_Oset(X53,X3),X3) ),
c_0_93 ).
fof(c_0_656,plain,
! [X25,X6,X2] :
( c_in(X6,c_Event_OinitState(X2),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X6,X25),X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_657,plain,
! [X50,X6,X7] :
( c_in(X50,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X7)),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X50,c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_658,plain,
! [X6,X16,X7,X21] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X21),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(X6,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X7,X21,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_659,axiom,
! [X25,X6,X1,X32,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X32,X1,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_97 ).
fof(c_0_660,plain,
! [X10,X1,X2,X11,X3] :
( c_Fun_Oinj__on(X10,X2,X3,X11)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X10,X1,X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_661,axiom,
! [X25,X6,X1,X2] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X25),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_99 ).
fof(c_0_662,axiom,
! [X42] : c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg),
c_0_100 ).
fof(c_0_663,axiom,
! [X42] : c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X42,tc_nat,tc_Message_Omsg),
c_0_101 ).
fof(c_0_664,axiom,
! [X53,X47,X15,X3] : c_in(X15,c_List_Oset(c_List_Oappend(X47,c_List_Olist_OCons(X15,X53,X3),X3),X3),X3),
c_0_102 ).
fof(c_0_665,plain,
! [X55,X6,X1] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X6),X55,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X55))),tc_Message_Omsg)
| ~ c_in(X55,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_666,axiom,
! [X15,X10,X11,X3] : c_in(hAPP(X10,X15),c_Set_Oimage(X10,c_Orderings_Otop__class_Otop(tc_fun(X11,tc_bool)),X11,X3),X3),
c_0_104 ).
fof(c_0_667,plain,
! [X47,X15,X28] :
( c_in(hAPP(c_Public_OpublicKey(X15),X47),c_Set_Oimage(c_Public_OpublicKey(X15),X28,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X47,X28,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_668,plain,
! [X27,X7,X21] :
( c_in(X27,c_Message_Oparts(X7),tc_Message_Omsg)
| c_in(X27,c_Message_Oparts(X21),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_669,plain,
! [X15,X10,X2,X67,X3] :
( ~ c_in(X15,X2,X67)
| c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X67,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_670,plain,
! [X15,X10,X2,X11,X3] :
( ~ c_in(X15,X2,X11)
| c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X11,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_671,plain,
! [X15,X10,X2,X11,X3] :
( c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X11,X3),X3)
| ~ c_in(X15,X2,X11) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_672,plain,
! [X15,X10,X2,X11,X3] :
( c_in(hAPP(X10,X15),c_Set_Oimage(X10,X2,X3,X11),X11)
| ~ c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_673,plain,
! [X6,X16,X7,X21] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(c_Set_Oinsert(X6,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X21),tc_Message_Omsg)
| ~ c_lessequals(X7,X21,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_674,plain,
! [X15,X28] :
( c_in(hAPP(c_Public_OshrK,X15),c_Set_Oimage(c_Public_OshrK,X28,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X15,X28,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_675,plain,
! [X15,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,X15),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X15,X2,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_676,plain,
! [X13,X14,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X13,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X14,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_677,plain,
! [X23,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_Fun_Oinj__on(X10,X2,X3,X11)
| X15 = X23
| ~ c_in(X23,X2,X3)
| ~ c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_678,plain,
! [X47,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X47)
| ~ c_in(X47,X2,X3)
| ~ c_in(X15,X2,X3)
| ~ c_Fun_Oinj__on(X10,X2,X3,X11)
| X15 = X47 ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_679,plain,
! [X23,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_in(X23,X2,X3)
| ~ c_in(X15,X2,X3)
| ~ c_Fun_Oinj__on(X10,X2,X3,X11)
| X15 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_680,plain,
! [X23,X15,X10,X2,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_in(X23,X2,X3)
| ~ c_in(X15,X2,X3)
| X15 = X23
| ~ c_Fun_Oinj__on(X10,X2,X3,X11) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_681,plain,
! [X6,X16,X7] :
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_682,plain,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_683,plain,
! [X6,X7] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X7)),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_684,plain,
! [X15,X1,X2,X3] :
( hBOOL(hAPP(X1,X15))
| hBOOL(hAPP(X2,X15))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X15)) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_685,plain,
! [X55,X6,X1] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X6),X55,tc_Event_Oevent))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X55))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X55) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_686,plain,
! [X29,X6,X7] :
( c_in(X29,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_687,plain,
! [X29,X6,X7] :
( c_in(X29,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Osynth(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_688,axiom,
! [X4,X23,X5,X15,X3] :
( c_List_Oappend(X5,c_List_Olist_OCons(X15,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X23,c_List_Olist_ONil(X3),X3),X3)
| X15 = X23 ),
c_0_126 ).
fof(c_0_689,axiom,
! [X4,X23,X5,X15,X3] :
( c_List_Oappend(X5,c_List_Olist_OCons(X15,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X23,c_List_Olist_ONil(X3),X3),X3)
| X5 = X4 ),
c_0_127 ).
fof(c_0_690,plain,
! [X23,X5,X15,X3] :
( c_in(X23,c_List_Oset(X5,X3),X3)
| X23 = X15
| ~ c_in(X23,c_List_Oset(c_List_Olist_OCons(X15,X5,X3),X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_691,axiom,
! [X7,X21] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_129 ).
fof(c_0_692,axiom,
! [X7,X21] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_130 ).
fof(c_0_693,axiom,
! [X7,X21] : c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_131 ).
fof(c_0_694,axiom,
! [X7,X21] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_132 ).
fof(c_0_695,plain,
! [X6,X7,X21] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,X21,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_696,axiom,
! [X7,X21] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X21),X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X21),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_134 ).
fof(c_0_697,plain,
! [X23,X15,X10,X11,X3] :
( hAPP(X10,X15) != hAPP(X10,X23)
| ~ c_Fun_Oinj__on(X10,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X11)
| X15 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_698,plain,
! [X25,X16] :
( ~ c_in(X16,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25))),tc_nat)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X16),c_Event_Oused(X25),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_699,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_137 ).
fof(c_0_700,plain,
! [X6,X16,X7] :
( c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_701,plain,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_702,plain,
! [X14,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X14,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_703,plain,
! [X14,X1,X2,X3] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X14,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_704,axiom,
! [X29,X41,X6,X16,X2] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),c_Set_Oinsert(c_Message_Omsg_OMPair(X41,X29),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X41,X29),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_142 ).
fof(c_0_705,plain,
! [X6,X7,X2] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X6),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_706,plain,
! [X4,X5,X2,X3] :
( c_in(c_List_Oappend(X5,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X5,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_707,plain,
! [X25,X6,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),X6),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_708,axiom,
! [X6,X31,X16,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X31),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X31),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_146 ).
fof(c_0_709,axiom,
! [X29,X6,X16,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_147 ).
fof(c_0_710,axiom,
! [X14,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)),
c_0_148 ).
fof(c_0_711,axiom,
! [X14,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_149 ).
fof(c_0_712,axiom,
! [X14,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X14,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_150 ).
fof(c_0_713,axiom,
! [X6,X16,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_Message_Omsg),
c_0_151 ).
fof(c_0_714,axiom,
! [X25,X6,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X25,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25),
c_0_152 ).
fof(c_0_715,plain,
! [X26,X54,X12,X3] :
( c_List_Olist__inter(c_List_Olist_OCons(X12,X54,X3),X26,X3) = c_List_Olist_OCons(X12,c_List_Olist__inter(X54,X26,X3),X3)
| ~ c_in(X12,c_List_Oset(X26,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_716,plain,
! [X27,X21,X2] :
( c_in(X27,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X21,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oanalz(X21),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_717,plain,
! [X14,X1,X2,X3] :
( c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_718,plain,
! [X14,X1,X2,X3] :
( c_lessequals(X2,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X14,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_719,axiom,
! [X25,X6,X32,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X32,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_157 ).
fof(c_0_720,axiom,
! [X25,X6,X32,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X32,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_158 ).
fof(c_0_721,plain,
! [X27,X1,X2,X3] :
( c_in(X27,X1,X3)
| c_in(X27,X2,X3)
| ~ c_in(X27,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_722,axiom,
! [X25,X6,X2] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X25),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_160 ).
fof(c_0_723,axiom,
! [X25,X6,X2] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X25),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_161 ).
fof(c_0_724,plain,
! [X1,X2,X3] :
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_725,plain,
! [X15,X1,X2,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool))
| c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_726,plain,
! [X15,X1,X2,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| c_in(X15,X2,X3)
| ~ c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_727,plain,
! [X23,X15,X2,X3] :
( hBOOL(hAPP(X2,X15))
| X23 = X15
| ~ hBOOL(hAPP(c_Set_Oinsert(X23,X2,X3),X15)) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_728,plain,
! [X25,X2] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_729,plain,
! [X25,X2] :
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_730,plain,
! [X12,X13,X14,X3] :
( c_lessequals(c_Set_Oinsert(X12,X14,X3),c_Set_Oinsert(X12,X13,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X14,X13,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_731,axiom,
! [X25,X6,X1,X2] : c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg),
c_0_169 ).
fof(c_0_732,axiom,
! [X6,X42,X16,X2] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_170 ).
fof(c_0_733,axiom,
! [X6,X16,X14,X2] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),c_Set_Oinsert(c_Message_Omsg_OAgent(X14),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X14),c_Set_Oinsert(c_Message_Omsg_OCrypt(X6,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_171 ).
fof(c_0_734,axiom,
! [X25,X6,X1,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X1,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg),
c_0_172 ).
fof(c_0_735,plain,
! [X6,X16,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_736,axiom,
! [X6,X7] : c_lessequals(c_Set_Oinsert(X6,c_Message_Oanalz(X7),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_174 ).
fof(c_0_737,axiom,
! [X6,X7] : c_lessequals(c_Set_Oinsert(X6,c_Message_Osynth(X7),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_175 ).
fof(c_0_738,axiom,
! [X6,X7] : c_lessequals(c_Set_Oinsert(X6,c_Message_Oparts(X7),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_176 ).
fof(c_0_739,axiom,
! [X42,X16,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_177 ).
fof(c_0_740,axiom,
! [X16,X14,X2] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oinsert(c_Message_Omsg_OAgent(X14),X2,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X14),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X2,tc_Message_Omsg),tc_Message_Omsg),
c_0_178 ).
fof(c_0_741,plain,
! [X15,X1,X2,X3] :
( c_lessequals(c_Set_Oinsert(X15,X2,X3),X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_in(X15,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_742,plain,
! [X25,X6,X1,X2] :
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_743,plain,
! [X25,X6,X1,X2] :
( c_in(X6,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_744,plain,
! [X4,X5,X2,X3] :
( c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X5,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_745,plain,
! [X4,X5,X2,X3] :
( c_in(X5,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X5,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_746,axiom,
! [X12,X14,X1,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X12,X1,X3),X14,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X12,c_Lattices_Oupper__semilattice__class_Osup(X1,X14,tc_fun(X3,tc_bool)),X3),
c_0_184 ).
fof(c_0_747,axiom,
! [X12,X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X12,X1,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X12,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3),
c_0_185 ).
fof(c_0_748,plain,
! [X15,X1,X2,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X15))
| ~ hBOOL(hAPP(X1,X15)) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_749,plain,
! [X15,X1,X2,X3] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X15))
| ~ hBOOL(hAPP(X2,X15)) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_750,plain,
! [X15,X1,X2,X3] :
( c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X15,X2,X3),X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_751,plain,
! [X25,X6,X1,X2] :
( c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_752,plain,
! [X25,X6,X1,X2] :
( c_in(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_753,plain,
! [X15,X1,X2,X3] :
( c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_754,plain,
! [X15,X1,X2,X3] :
( c_lessequals(X2,c_Set_Oinsert(X15,X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_755,plain,
! [X27,X12,X21] :
( c_in(X27,c_Message_Oanalz(c_Set_Oinsert(X12,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oanalz(X21),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_756,plain,
! [X27,X12,X21] :
( c_in(X27,c_Message_Oparts(c_Set_Oinsert(X12,X21,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(X21),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_757,plain,
! [X25,X6,X1,X2] :
( c_in(X6,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X1,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_758,plain,
! [X25,X24,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_759,plain,
! [X15,X1,X2,X3] :
( c_in(X15,X1,X3)
| ~ c_lessequals(c_Set_Oinsert(X15,X2,X3),X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_760,plain,
! [X25,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_761,plain,
! [X25,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X25,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_762,plain,
! [X1,X2,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_763,plain,
! [X1,X2,X3] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_764,axiom,
! [X5,X15,X3] : c_lessequals(c_List_Oset(X5,X3),c_List_Oset(c_List_Olist_OCons(X15,X5,X3),X3),tc_fun(X3,tc_bool)),
c_0_202 ).
fof(c_0_765,plain,
! [X6,X16,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_766,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3)
| ~ c_lessequals(X23,X22,X3)
| ~ c_lessequals(X15,X22,X3) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_767,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X15,X3)
| ~ c_lessequals(X22,X15,X3)
| ~ c_lessequals(X23,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_768,plain,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X15,X3)
| ~ c_lessequals(X24,X15,X3)
| ~ c_lessequals(X12,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_769,plain,
! [X6,X7] :
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X7))
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_770,axiom,
! [X6,X16,X7] :
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X16)),c_Message_Oanalz(X7),tc_Message_Omsg) ),
c_0_208 ).
fof(c_0_771,axiom,
! [X25,X45,X2] : c_lessequals(c_Event_Oknows(X2,X25),c_Event_Oknows(X2,c_List_Olist_OCons(X45,X25,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_209 ).
fof(c_0_772,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_773,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_774,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_775,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X23,X22,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_776,axiom,
! [X35,X7,X36,X21] :
( c_Message_Oanalz(X7) != c_Message_Oanalz(X35)
| c_Message_Oanalz(X21) != c_Message_Oanalz(X36)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X36,X35,tc_fun(tc_Message_Omsg,tc_bool))) ),
c_0_214 ).
fof(c_0_777,plain,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_778,plain,
! [X6,X7,X21] :
( c_Message_Oanalz(c_Set_Oinsert(X6,X21,tc_Message_Omsg)) = c_Message_Oanalz(X21)
| ~ c_lessequals(X7,X21,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_779,plain,
! [X29,X6,X7] :
( c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_780,axiom,
! [X30,X37,X15,X3] : c_List_Olist_OCons(X15,c_List_Oappend(X37,X30,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X15,X37,X3),X30,X3),
c_0_218 ).
fof(c_0_781,axiom,
! [X30,X47,X15,X3] : c_List_Olist_OCons(X15,c_List_Oappend(X47,X30,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X15,X47,X3),X30,X3),
c_0_219 ).
fof(c_0_782,axiom,
! [X4,X5,X15,X3] : c_List_Oappend(c_List_Olist_OCons(X15,X5,X3),X4,X3) = c_List_Olist_OCons(X15,c_List_Oappend(X5,X4,X3),X3),
c_0_220 ).
fof(c_0_783,axiom,
! [X30,X47,X15,X3] : c_List_Oappend(c_List_Olist_OCons(X15,X47,X3),X30,X3) = c_List_Olist_OCons(X15,c_List_Oappend(X47,X30,X3),X3),
c_0_221 ).
fof(c_0_784,axiom,
! [X5,X15,X39,X3] : c_List_Oappend(X5,c_List_Oappend(X15,X39,X3),X3) = c_List_Oappend(c_List_Oappend(X5,X15,X3),X39,X3),
c_0_222 ).
fof(c_0_785,axiom,
! [X30,X4,X15,X3] : c_List_Oappend(c_List_Oappend(X30,X15,X3),X4,X3) = c_List_Oappend(X30,c_List_Oappend(X15,X4,X3),X3),
c_0_223 ).
fof(c_0_786,axiom,
! [X37,X5,X38,X3] : c_List_Oappend(X5,c_List_Oappend(X37,X38,X3),X3) = c_List_Oappend(c_List_Oappend(X5,X37,X3),X38,X3),
c_0_224 ).
fof(c_0_787,axiom,
! [X30,X4,X5,X3] : c_List_Oappend(c_List_Oappend(X5,X4,X3),X30,X3) = c_List_Oappend(X5,c_List_Oappend(X4,X30,X3),X3),
c_0_225 ).
fof(c_0_788,axiom,
! [X23,X15,X2,X3] : c_Set_Oinsert(X15,c_Set_Oinsert(X23,X2,X3),X3) = c_Set_Oinsert(X23,c_Set_Oinsert(X15,X2,X3),X3),
c_0_226 ).
fof(c_0_789,plain,
! [X14,X1,X2,X3] :
( c_lessequals(X2,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X14,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_790,plain,
! [X5,X15,X2,X3] :
( c_in(X15,X2,X3)
| ~ c_in(X15,c_List_Oset(X5,X3),X3)
| ~ c_in(X5,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_791,plain,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_792,plain,
! [X5,X15,X3] :
( ~ c_in(X15,c_List_Oset(X5,X3),X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X15,X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_793,plain,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X12,X15,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_794,plain,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X24,X15,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_795,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,X22,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) ),
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_796,plain,
! [X22,X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X23,X22,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X22,X3) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_797,axiom,
! [X7,X21] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X21),X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))),
c_0_235 ).
fof(c_0_798,plain,
! [X24,X12,X2,X3] :
( c_in(X12,X2,X3)
| X12 = X24
| ~ c_in(X12,c_Set_Oinsert(X24,X2,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_799,axiom,
! [X16,X7] :
( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(X16,c_Message_OkeysFor(c_Message_Oanalz(X7)),tc_nat) ),
c_0_237 ).
fof(c_0_800,axiom,
! [X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
c_0_238 ).
fof(c_0_801,plain,
! [X24,X1,X2,X3] :
( c_lessequals(X2,c_Set_Oinsert(X24,X1,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_802,plain,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_803,axiom,
! [X26,X54,X12,X3] :
( c_List_Olist__inter(c_List_Olist_OCons(X12,X54,X3),X26,X3) = c_List_Olist__inter(X54,X26,X3)
| c_in(X12,c_List_Oset(X26,X3),X3) ),
c_0_241 ).
fof(c_0_804,plain,
! [X27,X1,X2,X3] :
( c_in(X27,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X27,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_805,plain,
! [X27,X1,X2,X3] :
( c_in(X27,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X27,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_806,plain,
! [X23,X15,X2,X3] :
( hBOOL(hAPP(c_Set_Oinsert(X23,X2,X3),X15))
| ~ hBOOL(hAPP(X2,X15)) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_807,plain,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_808,plain,
! [X6,X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_809,plain,
! [X6,X16,X7] :
( c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_810,plain,
! [X27,X2,X3] :
( ~ c_in(X27,X2,X3)
| ~ c_in(X27,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_811,axiom,
! [X15,X1,X2,X3] :
( c_Set_Oinsert(X15,X2,X3) != c_Set_Oinsert(X15,X1,X3)
| c_in(X15,X1,X3)
| c_in(X15,X2,X3)
| X2 = X1 ),
c_0_249 ).
fof(c_0_812,axiom,
! [X5,X15,X3] :
( c_List_Oremdups(c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Olist_OCons(X15,c_List_Oremdups(X5,X3),X3)
| c_in(X15,c_List_Oset(X5,X3),X3) ),
c_0_250 ).
fof(c_0_813,plain,
! [X6,X7,X21] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_lessequals(X21,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Oanalz(X21),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_251]) ).
fof(c_0_814,plain,
! [X6,X7,X21] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_lessequals(X21,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Oparts(X21),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_252]) ).
fof(c_0_815,plain,
! [X6,X7,X21] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_lessequals(X21,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X6,c_Message_Osynth(X21),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_253]) ).
fof(c_0_816,plain,
! [X6,X16,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_817,plain,
! [X29,X6,X7] :
( c_in(X29,c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_255]) ).
fof(c_0_818,plain,
! [X29,X6,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_819,plain,
! [X29,X6,X7] :
( c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_820,plain,
! [X6,X16,X7] :
( c_in(X16,c_Message_OkeysFor(X7),tc_nat)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_821,plain,
! [X15,X1,X2,X3] :
( c_in(X15,X1,X3)
| ~ c_in(X15,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_259]) ).
fof(c_0_822,plain,
! [X27,X1,X2,X3] :
( c_in(X27,X1,X3)
| ~ c_in(X27,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_823,plain,
! [X15,X1,X2,X3] :
( c_in(X15,X1,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_in(X15,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_824,plain,
! [X49,X1,X2,X3] :
( c_in(X49,X1,X3)
| ~ c_in(X49,X2,X3)
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_825,plain,
! [X5,X15,X3] :
( c_List_Oremdups(c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Oremdups(X5,X3)
| ~ c_in(X15,c_List_Oset(X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_826,plain,
! [X5,X15,X3] :
( c_List_Olength__unique(c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Olength__unique(X5,X3)
| ~ c_in(X15,c_List_Oset(X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_264]) ).
fof(c_0_827,plain,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X3)
| ~ c_lessequals(X15,X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_265]) ).
fof(c_0_828,plain,
! [X15,X24,X12,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X12,X24,X3),X3)
| ~ c_lessequals(X15,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_266]) ).
fof(c_0_829,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| X2 = c_Message_Oagent_OSpy ),
c_0_267 ).
fof(c_0_830,axiom,
! [X4,X5,X3] : c_List_Oset(c_List_Oappend(X5,X4,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X5,X3),c_List_Oset(X4,X3),tc_fun(X3,tc_bool)),
c_0_268 ).
fof(c_0_831,axiom,
! [X25,X6,X2] : c_Event_Oknows(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)) = c_Set_Oinsert(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg),
c_0_269 ).
fof(c_0_832,plain,
! [X24,X12,X1,X3] :
( c_in(X12,c_Set_Oinsert(X24,X1,X3),X3)
| ~ c_in(X12,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_833,plain,
! [X24,X12,X2,X3] :
( c_in(X12,c_Set_Oinsert(X24,X2,X3),X3)
| ~ c_in(X12,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_271]) ).
fof(c_0_834,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2))),c_Event_Oused(X25),tc_Message_Omsg),
c_0_272 ).
fof(c_0_835,axiom,
! [X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
c_0_273 ).
fof(c_0_836,plain,
! [X1,X2,X3] :
( X2 = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_837,plain,
! [X1,X2,X3] :
( X2 = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_838,axiom,
! [X15,X2,X3] : hBOOL(hAPP(c_Set_Oinsert(X15,X2,X3),X15)),
c_0_276 ).
fof(c_0_839,plain,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy ),
inference(fof_simplification,[status(thm)],[c_0_277]) ).
fof(c_0_840,plain,
! [X15,X48,X10,X11,X3] :
( ~ class_HOL_Oord(X11)
| c_lessequals(hAPP(X10,X15),hAPP(X48,X15),X11)
| ~ c_lessequals(X10,X48,tc_fun(X3,X11)) ),
inference(fof_simplification,[status(thm)],[c_0_278]) ).
fof(c_0_841,plain,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oknows(X2,X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_842,axiom,
! [X7,X21] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X21,X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_280 ).
fof(c_0_843,axiom,
! [X16,X7] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),c_Message_Oparts(X7),tc_Message_Omsg),
c_0_281 ).
fof(c_0_844,plain,
! [X22,X23,X15,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X15,X22,X3)
| ~ c_lessequals(X23,X22,X3)
| ~ c_lessequals(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_845,plain,
! [X22,X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X22,X15,X3)
| ~ c_lessequals(X22,X23,X3)
| ~ c_lessequals(X23,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_846,axiom,
! [X25,X6,X2] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X6),X25,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_284 ).
fof(c_0_847,axiom,
! [X1,X2,X3] : c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_285 ).
fof(c_0_848,axiom,
! [X1,X2,X3] : c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_286 ).
fof(c_0_849,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X12,X24,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X12,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_850,axiom,
! [X6,X35,X7] :
( c_Message_Oanalz(X7) != c_Message_Oanalz(X35)
| c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X6,X35,tc_Message_Omsg)) ),
c_0_288 ).
fof(c_0_851,plain,
! [X7,X21] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X21)),c_Message_Osynth(c_Message_Oanalz(X7)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_289]) ).
fof(c_0_852,plain,
! [X25,X2] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(fof_simplification,[status(thm)],[c_0_290]) ).
fof(c_0_853,plain,
! [X29,X6,X7] :
( c_in(X29,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_291]) ).
fof(c_0_854,plain,
! [X29,X6,X7] :
( c_in(X6,c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Osynth(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_855,plain,
! [X25,X27] :
( c_in(X27,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_293]) ).
fof(c_0_856,plain,
! [X5,X15,X3] :
( c_List_Odistinct(c_List_Olist_OCons(X15,X5,X3),X3)
| ~ c_List_Odistinct(X5,X3)
| c_in(X15,c_List_Oset(X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_294]) ).
fof(c_0_857,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_295]) ).
fof(c_0_858,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_296]) ).
fof(c_0_859,axiom,
! [X5,X15,X3] : c_List_Olist_OCons(X15,X5,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X15,X5,X3),X3),
c_0_297 ).
fof(c_0_860,axiom,
! [X5,X15,X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X15,X5,X3),X3) = c_List_Olist_OCons(X15,X5,X3),
c_0_298 ).
fof(c_0_861,plain,
! [X25,X6,X2] :
( c_in(X6,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X2,X6),c_List_Oset(X25,tc_Event_Oevent),tc_Event_Oevent) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_862,plain,
! [X7,X21] :
( c_lessequals(X21,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_300]) ).
fof(c_0_863,plain,
! [X7,X21] :
( c_lessequals(X21,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_301]) ).
fof(c_0_864,plain,
! [X7,X21] :
( c_lessequals(X21,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_302]) ).
fof(c_0_865,axiom,
! [X15,X2,X3] : c_Set_Oinsert(X15,c_Set_Oinsert(X15,X2,X3),X3) = c_Set_Oinsert(X15,X2,X3),
c_0_303 ).
fof(c_0_866,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X3),X24,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X12,X3) ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_867,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),X12,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X3),X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_868,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X24,X3),X3)
| ~ c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X12,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_869,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(X24,c_HOL_Ouminus__class_Ouminus(X12,X3),X3)
| ~ c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_307]) ).
fof(c_0_870,plain,
! [X7,X21] :
( c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_871,plain,
! [X7,X21] :
( c_lessequals(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_872,plain,
! [X7,X21] :
( c_lessequals(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_873,plain,
! [X24,X2] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2)),c_Message_OsymKeys,tc_nat),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_874,plain,
! [X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_312]) ).
fof(c_0_875,plain,
! [X6,X7] :
( c_Message_Oanalz(c_Set_Oinsert(X6,X7,tc_Message_Omsg)) = c_Message_Oanalz(X7)
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_313]) ).
fof(c_0_876,plain,
! [X6,X7] :
( c_Message_Oparts(c_Set_Oinsert(X6,X7,tc_Message_Omsg)) = c_Message_Oparts(X7)
| ~ c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_314]) ).
fof(c_0_877,plain,
! [X5,X15,X3] :
( c_List_Odistinct(X5,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X15,X5,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_315]) ).
fof(c_0_878,plain,
! [X4,X5,X3] :
( c_List_Odistinct(X5,X3)
| ~ c_List_Odistinct(c_List_Oappend(X5,X4,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_316]) ).
fof(c_0_879,plain,
! [X4,X5,X3] :
( c_List_Odistinct(X4,X3)
| ~ c_List_Odistinct(c_List_Oappend(X5,X4,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_317]) ).
fof(c_0_880,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),tc_Message_Omsg),
c_0_318 ).
fof(c_0_881,plain,
! [X7,X21] :
( c_lessequals(c_Message_Oanalz(X21),c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_882,plain,
! [X7,X21] :
( c_lessequals(c_Message_Oparts(X21),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_883,plain,
! [X7,X21] :
( c_lessequals(c_Message_OkeysFor(X21),c_Message_OkeysFor(X7),tc_fun(tc_nat,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_884,plain,
! [X7,X21] :
( c_lessequals(c_Message_Osynth(X21),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X21,X7,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_322]) ).
fof(c_0_885,plain,
! [X16,X7] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_886,axiom,
! [X5,X15,X3] : c_List_Oset(c_List_Olist_OCons(X15,X5,X3),X3) = c_Set_Oinsert(X15,c_List_Oset(X5,X3),X3),
c_0_324 ).
fof(c_0_887,axiom,
! [X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) != X1
| c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_325 ).
fof(c_0_888,plain,
! [X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_889,plain,
! [X1,X2,X3] :
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_890,plain,
! [X15,X33,X34,X3] :
( hBOOL(hAPP(X33,X15))
| ~ c_lessequals(X34,X33,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X34,X15)) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_891,plain,
! [X15,X33,X34,X3] :
( hBOOL(hAPP(X33,X15))
| ~ hBOOL(hAPP(X34,X15))
| ~ c_lessequals(X34,X33,tc_fun(X3,tc_bool)) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_892,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X24,X3),c_HOL_Ouminus__class_Ouminus(X12,X3),X3)
| ~ c_lessequals(X12,X24,X3) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_893,plain,
! [X6,X16,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oparts(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_894,plain,
! [X29,X6,X7] :
( c_in(X6,c_Event_Oused(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Event_Oused(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_332]) ).
fof(c_0_895,plain,
! [X29,X6,X7] :
( c_in(X29,c_Event_Oused(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Event_Oused(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_896,plain,
! [X29,X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oparts(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_334]) ).
fof(c_0_897,plain,
! [X29,X6,X7] :
( c_in(X29,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oparts(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_335]) ).
fof(c_0_898,plain,
! [X29,X6,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_336]) ).
fof(c_0_899,plain,
! [X29,X6,X7] :
( c_in(X29,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X6,X29),c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_337]) ).
fof(c_0_900,plain,
! [X6,X16,X7] :
( c_in(c_Message_OinvKey(X16),c_Message_OkeysFor(X7),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X16,X6),X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_338]) ).
fof(c_0_901,axiom,
! [X42,X7] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Message_Oanalz(X7),tc_Message_Omsg),
c_0_339 ).
fof(c_0_902,axiom,
! [X43,X7] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X43),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X43),c_Message_Oanalz(X7),tc_Message_Omsg),
c_0_340 ).
fof(c_0_903,axiom,
! [X42,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X42),c_Message_Oparts(X7),tc_Message_Omsg),
c_0_341 ).
fof(c_0_904,axiom,
! [X43,X7] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X43),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X43),c_Message_Oparts(X7),tc_Message_Omsg),
c_0_342 ).
fof(c_0_905,axiom,
! [X12,X1,X3] : c_lessequals(X1,c_Set_Oinsert(X12,X1,X3),tc_fun(X3,tc_bool)),
c_0_343 ).
fof(c_0_906,plain,
! [X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| X15 = X23
| ~ c_lessequals(X23,X15,X3)
| ~ c_lessequals(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_344]) ).
fof(c_0_907,plain,
! [X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| X15 = X23
| ~ c_lessequals(X23,X15,X3)
| ~ c_lessequals(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_345]) ).
fof(c_0_908,plain,
! [X23,X15,X3] :
( ~ class_Orderings_Oorder(X3)
| X15 = X23
| ~ c_lessequals(X15,X23,X3)
| ~ c_lessequals(X23,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_346]) ).
fof(c_0_909,axiom,
! [X27,X2,X3] :
( c_in(X27,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X27,X2,X3) ),
c_0_347 ).
fof(c_0_910,axiom,
! [X25,X6,X2] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X25),
c_0_348 ).
fof(c_0_911,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
c_0_349 ).
fof(c_0_912,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
c_0_350 ).
fof(c_0_913,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X25),tc_Message_Omsg),
c_0_351 ).
fof(c_0_914,axiom,
! [X17,X18,X72,X51,X73,X52] :
( c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OSays(X73,X72,X17)
| X18 = X17 ),
c_0_352 ).
fof(c_0_915,axiom,
! [X17,X18,X72,X51,X73,X52] :
( c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OSays(X73,X72,X17)
| X51 = X72 ),
c_0_353 ).
fof(c_0_916,axiom,
! [X17,X18,X72,X51,X73,X52] :
( c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OSays(X73,X72,X17)
| X52 = X73 ),
c_0_354 ).
fof(c_0_917,axiom,
! [X8,X68,X9,X12,X3] :
( c_List_Olist_OCons(X12,X68,X3) != c_List_Olist_OCons(X9,X8,X3)
| X68 = X8 ),
c_0_355 ).
fof(c_0_918,axiom,
! [X8,X68,X9,X12,X3] :
( c_List_Olist_OCons(X12,X68,X3) != c_List_Olist_OCons(X9,X8,X3)
| X12 = X9 ),
c_0_356 ).
fof(c_0_919,axiom,
! [X30,X4,X5,X3] :
( c_List_Oappend(X4,X5,X3) != c_List_Oappend(X30,X5,X3)
| X4 = X30 ),
c_0_357 ).
fof(c_0_920,axiom,
! [X30,X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != c_List_Oappend(X5,X30,X3)
| X4 = X30 ),
c_0_358 ).
fof(c_0_921,plain,
! [X6,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oanalz(c_Message_Oanalz(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_359]) ).
fof(c_0_922,plain,
! [X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oparts(c_Message_Oparts(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_360]) ).
fof(c_0_923,plain,
! [X25,X6,X1] :
( c_in(X6,c_Event_Oused(X25),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_361]) ).
fof(c_0_924,plain,
! [X6,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Osynth(c_Message_Osynth(X7)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_925,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_363]) ).
fof(c_0_926,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_927,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X23,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_365]) ).
fof(c_0_928,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X15,c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_366]) ).
fof(c_0_929,axiom,
! [X25,X6,X2] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X6),X25,tc_Event_Oevent)) = c_Event_Oused(X25),
c_0_367 ).
fof(c_0_930,axiom,
! [X29,X6,X7] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X6,X29),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
c_0_368 ).
fof(c_0_931,plain,
! [X42,X7] :
( c_in(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X42),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_932,plain,
! [X44,X7] :
( c_in(c_Message_Omsg_ONonce(X44),X7,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X44),c_Message_Osynth(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_933,axiom,
! [X15,X1,X3] : c_in(X15,c_Set_Oinsert(X15,X1,X3),X3),
c_0_371 ).
fof(c_0_934,axiom,
! [X12,X1,X3] : c_in(X12,c_Set_Oinsert(X12,X1,X3),X3),
c_0_372 ).
fof(c_0_935,axiom,
! [X15,X2,X3] : c_in(X15,c_Set_Oinsert(X15,X2,X3),X3),
c_0_373 ).
fof(c_0_936,plain,
! [X42,X7] :
( c_in(c_Message_Omsg_ONonce(X42),c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_374]) ).
fof(c_0_937,axiom,
! [X25,X24,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Event_Oused(X25),tc_Message_Omsg),
c_0_375 ).
fof(c_0_938,axiom,
! [X24,X1,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X24),X2)),c_Event_OinitState(X1),tc_Message_Omsg),
c_0_376 ).
fof(c_0_939,axiom,
! [X16,X7] : c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X16),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
c_0_377 ).
fof(c_0_940,axiom,
! [X1,X3] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
c_0_378 ).
fof(c_0_941,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
c_0_379 ).
fof(c_0_942,axiom,
! [X1,X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
c_0_380 ).
fof(c_0_943,plain,
! [X6,X16,X1] : ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_944,plain,
! [X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_382]) ).
fof(c_0_945,plain,
! [X27,X7] :
( c_in(X27,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oanalz(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_946,plain,
! [X27,X7] :
( ~ c_in(X27,c_Message_Oanalz(X7),tc_Message_Omsg)
| c_in(X27,c_Message_Oparts(X7),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_947,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) != X23
| c_lessequals(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_385]) ).
fof(c_0_948,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = X15
| ~ c_lessequals(X23,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_386]) ).
fof(c_0_949,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = X23
| ~ c_lessequals(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_387]) ).
fof(c_0_950,axiom,
! [X25,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oknows(X2,X25),tc_Message_Omsg),
c_0_388 ).
fof(c_0_951,plain,
! [X6,X16] : ~ c_in(c_Message_Omsg_OCrypt(X16,X6),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_389]) ).
fof(c_0_952,plain,
! [X6,X7] :
( c_in(X6,c_Message_Oanalz(X7),tc_Message_Omsg)
| ~ c_in(X6,X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_953,plain,
! [X6,X7] :
( c_in(X6,c_Message_Oparts(X7),tc_Message_Omsg)
| ~ c_in(X6,X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_391]) ).
fof(c_0_954,plain,
! [X6,X7] :
( c_in(X6,c_Message_Osynth(X7),tc_Message_Omsg)
| ~ c_in(X6,X7,tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_392]) ).
fof(c_0_955,plain,
! [X16] :
( c_in(X16,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X16),c_Message_OsymKeys,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_393]) ).
fof(c_0_956,plain,
! [X12,X2,X3] :
( c_Set_Oinsert(X12,X2,X3) = X2
| ~ c_in(X12,X2,X3) ),
inference(fof_simplification,[status(thm)],[c_0_394]) ).
fof(c_0_957,plain,
! [X24,X2] : ~ c_in(hAPP(c_Public_OpublicKey(X24),X2),c_Message_OsymKeys,tc_nat),
inference(fof_simplification,[status(thm)],[c_0_395]) ).
fof(c_0_958,plain,
! [X16] :
( c_in(c_Message_OinvKey(X16),c_Message_OsymKeys,tc_nat)
| ~ c_in(X16,c_Message_OsymKeys,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_396]) ).
fof(c_0_959,axiom,
! [X15,X3] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X15)),
c_0_397 ).
fof(c_0_960,axiom,
! [X25] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X25)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_398 ).
fof(c_0_961,axiom,
! [X2,X3] : c_lessequals(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_399 ).
fof(c_0_962,axiom,
! [X25,X1] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X25),tc_Message_Omsg),
c_0_400 ).
fof(c_0_963,axiom,
! [X25,X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_Oused(X25),tc_Message_Omsg),
c_0_401 ).
fof(c_0_964,axiom,
! [X2] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Event_OinitState(X2),tc_Message_Omsg),
c_0_402 ).
fof(c_0_965,axiom,
! [X42,X7] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X42),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
c_0_403 ).
fof(c_0_966,axiom,
! [X7,X2] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X7,tc_Message_Omsg)) = c_Message_OkeysFor(X7),
c_0_404 ).
fof(c_0_967,plain,
! [X25] : ~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X25)),c_Event_Oused(X25),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_405]) ).
fof(c_0_968,plain,
! [X42,X1] : ~ c_in(c_Message_Omsg_ONonce(X42),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_969,axiom,
! [X1,X2,X3] :
( c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
c_0_407 ).
fof(c_0_970,plain,
! [X23,X15,X3] :
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X23,X15,X3)
| c_lessequals(X15,X23,X3) ),
inference(fof_simplification,[status(thm)],[c_0_408]) ).
fof(c_0_971,plain,
! [X15,X60,X3] :
( hBOOL(hAPP(X60,X15))
| ~ c_in(X15,X60,X3) ),
inference(fof_simplification,[status(thm)],[c_0_409]) ).
fof(c_0_972,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_410]) ).
fof(c_0_973,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X23,X3) = c_Lattices_Oupper__semilattice__class_Osup(X23,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_411]) ).
fof(c_0_974,plain,
! [X42] : ~ c_in(c_Message_Omsg_ONonce(X42),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_412]) ).
fof(c_0_975,axiom,
! [X2,X3] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2,
c_0_413 ).
fof(c_0_976,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_ONotes(X19,X17),
c_0_414 ).
fof(c_0_977,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_ONotes(X19,X17) != c_Event_Oevent_OSays(X52,X51,X18),
c_0_415 ).
fof(c_0_978,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_OGets(X19,X17) != c_Event_Oevent_OSays(X52,X51,X18),
c_0_416 ).
fof(c_0_979,axiom,
! [X17,X18,X19,X51,X52] : c_Event_Oevent_OSays(X52,X51,X18) != c_Event_Oevent_OGets(X19,X17),
c_0_417 ).
fof(c_0_980,axiom,
! [X15,X3] : c_in(X15,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3),
c_0_418 ).
fof(c_0_981,axiom,
! [X25,X2] : c_lessequals(c_Event_OinitState(X2),c_Event_Oknows(X2,X25),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_419 ).
fof(c_0_982,plain,
! [X15,X60,X3] :
( c_in(X15,X60,X3)
| ~ hBOOL(hAPP(X60,X15)) ),
inference(fof_simplification,[status(thm)],[c_0_420]) ).
fof(c_0_983,axiom,
! [X27,X24,X32,X2] : hAPP(c_Public_OpublicKey(X27),X32) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2)),
c_0_421 ).
fof(c_0_984,axiom,
! [X27,X24,X32,X2] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X2)) != hAPP(c_Public_OpublicKey(X27),X32),
c_0_422 ).
fof(c_0_985,axiom,
! [X4,X5,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X5,X4,X3)
| X5 = c_List_Olist_ONil(X3) ),
c_0_423 ).
fof(c_0_986,axiom,
! [X4,X5,X3] :
( c_List_Olist_ONil(X3) != c_List_Oappend(X5,X4,X3)
| X4 = c_List_Olist_ONil(X3) ),
c_0_424 ).
fof(c_0_987,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != c_List_Olist_ONil(X3)
| X5 = c_List_Olist_ONil(X3) ),
c_0_425 ).
fof(c_0_988,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != c_List_Olist_ONil(X3)
| X4 = c_List_Olist_ONil(X3) ),
c_0_426 ).
fof(c_0_989,axiom,
! [X7] : c_Message_Oanalz(c_Message_Osynth(X7)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X7),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_427 ).
fof(c_0_990,axiom,
! [X7] : c_Message_Oparts(c_Message_Osynth(X7)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X7),c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_428 ).
fof(c_0_991,axiom,
! [X2,X3] : c_in(c_List_Olist_ONil(X3),c_List_Olists(X2,X3),tc_List_Olist(X3)),
c_0_429 ).
fof(c_0_992,axiom,
! [X25] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X25),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_430 ).
fof(c_0_993,axiom,
! [X4,X5,X3] :
( X4 != c_List_Oappend(X5,X4,X3)
| X5 = c_List_Olist_ONil(X3) ),
c_0_431 ).
fof(c_0_994,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != X4
| X5 = c_List_Olist_ONil(X3) ),
c_0_432 ).
fof(c_0_995,axiom,
! [X4,X5,X3] :
( X5 != c_List_Oappend(X5,X4,X3)
| X4 = c_List_Olist_ONil(X3) ),
c_0_433 ).
fof(c_0_996,axiom,
! [X4,X5,X3] :
( c_List_Oappend(X5,X4,X3) != X5
| X4 = c_List_Olist_ONil(X3) ),
c_0_434 ).
fof(c_0_997,axiom,
! [X8,X9,X3] : c_List_Olist_OCons(X9,X8,X3) != c_List_Olist_ONil(X3),
c_0_435 ).
fof(c_0_998,axiom,
! [X47,X15,X3] : c_List_Olist_OCons(X15,X47,X3) != c_List_Olist_ONil(X3),
c_0_436 ).
fof(c_0_999,axiom,
! [X8,X9,X3] : c_List_Olist_ONil(X3) != c_List_Olist_OCons(X9,X8,X3),
c_0_437 ).
fof(c_0_1000,plain,
! [X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_HOL_Ouminus__class_Ouminus(X15,X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_438]) ).
fof(c_0_1001,plain,
! [X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X15,X3),X15,X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_439]) ).
fof(c_0_1002,plain,
! [X29,X6,X3] :
( X6 = X29
| ~ c_fequal(X6,X29,X3) ),
inference(fof_simplification,[status(thm)],[c_0_440]) ).
fof(c_0_1003,axiom,
! [X15,X49,X3] : c_List_Olist_OCons(X15,X49,X3) != X49,
c_0_441 ).
fof(c_0_1004,axiom,
! [X5,X15,X3] : X5 != c_List_Olist_OCons(X15,X5,X3),
c_0_442 ).
fof(c_0_1005,axiom,
! [X7] : c_lessequals(c_Message_Oanalz(X7),c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_443 ).
fof(c_0_1006,plain,
! [X16] :
( c_Message_OinvKey(X16) = X16
| ~ c_in(X16,c_Message_OsymKeys,tc_nat) ),
inference(fof_simplification,[status(thm)],[c_0_444]) ).
fof(c_0_1007,axiom,
! [X24,X14,X2] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X14)) != hAPP(c_Public_OshrK,X2),
c_0_445 ).
fof(c_0_1008,axiom,
! [X24,X14,X2] : hAPP(c_Public_OshrK,X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X24),X14)),
c_0_446 ).
fof(c_0_1009,axiom,
! [X7] : c_lessequals(X7,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_447 ).
fof(c_0_1010,axiom,
! [X7] : c_lessequals(X7,c_Message_Oparts(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_448 ).
fof(c_0_1011,axiom,
! [X7] : c_lessequals(X7,c_Message_Osynth(X7),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_449 ).
fof(c_0_1012,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[c_0_450]) ).
fof(c_0_1013,axiom,
! [X2,X3] : c_Lattices_Oupper__semilattice__class_Osup(X2,X2,tc_fun(X3,tc_bool)) = X2,
c_0_451 ).
fof(c_0_1014,axiom,
! [X2,X3] : c_lessequals(X2,X2,tc_fun(X3,tc_bool)),
c_0_452 ).
fof(c_0_1015,axiom,
! [X15,X3] : c_lessequals(X15,X15,tc_fun(X3,tc_bool)),
c_0_453 ).
fof(c_0_1016,axiom,
! [X6] : c_in(hAPP(c_Public_OshrK,X6),c_Message_OsymKeys,tc_nat),
c_0_454 ).
fof(c_0_1017,plain,
! [X15,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,c_Orderings_Otop__class_Otop(X3),X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_455]) ).
fof(c_0_1018,plain,
! [X15,X3] :
( ~ class_Lattices_Obounded__lattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X3),X15,X3) = c_Orderings_Otop__class_Otop(X3) ),
inference(fof_simplification,[status(thm)],[c_0_456]) ).
fof(c_0_1019,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3),
c_0_457 ).
fof(c_0_1020,axiom,
! [X3] : c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_458 ).
fof(c_0_1021,plain,
! [X15,X3] :
( ~ class_Orderings_Otop(X3)
| c_lessequals(X15,c_Orderings_Otop__class_Otop(X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_459]) ).
fof(c_0_1022,axiom,
! [X27,X24,X32,X2] :
( hAPP(c_Public_OpublicKey(X24),X2) != hAPP(c_Public_OpublicKey(X27),X32)
| X24 = X27 ),
c_0_460 ).
fof(c_0_1023,axiom,
! [X27,X24,X32,X2] :
( hAPP(c_Public_OpublicKey(X24),X2) != hAPP(c_Public_OpublicKey(X27),X32)
| X2 = X32 ),
c_0_461 ).
fof(c_0_1024,axiom,
! [X43,X7] : c_in(c_Message_Omsg_OAgent(X43),c_Message_Osynth(X7),tc_Message_Omsg),
c_0_462 ).
fof(c_0_1025,axiom,
! [X7,X2] : c_in(c_Message_Omsg_OAgent(X2),c_Message_Osynth(X7),tc_Message_Omsg),
c_0_463 ).
fof(c_0_1026,axiom,
! [X26,X3] : c_List_Olist__inter(c_List_Olist_ONil(X3),X26,X3) = c_List_Olist_ONil(X3),
c_0_464 ).
fof(c_0_1027,plain,
! [X15,X3] :
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X15,X15,X3) = X15 ),
inference(fof_simplification,[status(thm)],[c_0_465]) ).
fof(c_0_1028,plain,
! [X15,X3] :
( ~ class_Orderings_Opreorder(X3)
| c_lessequals(X15,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_466]) ).
fof(c_0_1029,plain,
! [X15,X3] :
( ~ class_Orderings_Oorder(X3)
| c_lessequals(X15,X15,X3) ),
inference(fof_simplification,[status(thm)],[c_0_467]) ).
fof(c_0_1030,axiom,
! [X5,X3] : c_List_Oappend(X5,c_List_Olist_ONil(X3),X3) = X5,
c_0_468 ).
fof(c_0_1031,axiom,
! [X15,X3] : X15 = c_List_Oappend(c_List_Olist_ONil(X3),X15,X3),
c_0_469 ).
fof(c_0_1032,axiom,
! [X5,X3] : X5 = c_List_Oappend(X5,c_List_Olist_ONil(X3),X3),
c_0_470 ).
fof(c_0_1033,axiom,
! [X4,X3] : c_List_Oappend(c_List_Olist_ONil(X3),X4,X3) = X4,
c_0_471 ).
fof(c_0_1034,axiom,
! [X4,X3] : X4 = c_List_Oappend(c_List_Olist_ONil(X3),X4,X3),
c_0_472 ).
fof(c_0_1035,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
c_0_473 ).
fof(c_0_1036,axiom,
! [X15,X3] : c_fequal(X15,X15,X3),
c_0_474 ).
fof(c_0_1037,axiom,
! [X5,X3] : c_List_Oset(c_List_Oremdups(X5,X3),X3) = c_List_Oset(X5,X3),
c_0_475 ).
fof(c_0_1038,plain,
! [X23,X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(X15,X3) != c_HOL_Ouminus__class_Ouminus(X23,X3)
| X15 = X23 ),
inference(fof_simplification,[status(thm)],[c_0_476]) ).
fof(c_0_1039,plain,
! [X24,X12,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(X12,X3) != c_HOL_Ouminus__class_Ouminus(X24,X3)
| X12 = X24 ),
inference(fof_simplification,[status(thm)],[c_0_477]) ).
fof(c_0_1040,axiom,
! [X24,X14,X2] : hAPP(c_Public_OpublicKey(X24),X14) != hAPP(c_Public_OshrK,X2),
c_0_478 ).
fof(c_0_1041,axiom,
! [X24,X14,X2] : hAPP(c_Public_OshrK,X2) != hAPP(c_Public_OpublicKey(X24),X14),
c_0_479 ).
fof(c_0_1042,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
c_0_480 ).
fof(c_0_1043,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) = X24 ),
inference(fof_simplification,[status(thm)],[c_0_481]) ).
fof(c_0_1044,plain,
! [X12,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X12 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_482]) ).
fof(c_0_1045,plain,
! [X24,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| X24 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X24,X3),X3) ),
inference(fof_simplification,[status(thm)],[c_0_483]) ).
fof(c_0_1046,plain,
! [X15,X3] :
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X15,X3),X3) = X15 ),
inference(fof_simplification,[status(thm)],[c_0_484]) ).
fof(c_0_1047,plain,
! [X12,X3] :
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X12,X3),X3) = X12 ),
inference(fof_simplification,[status(thm)],[c_0_485]) ).
fof(c_0_1048,axiom,
! [X75,X78,X76,X79] :
( c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_OMPair(X76,X75)
| X78 = X75 ),
c_0_486 ).
fof(c_0_1049,axiom,
! [X75,X78,X76,X79] :
( c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_OMPair(X76,X75)
| X79 = X76 ),
c_0_487 ).
fof(c_0_1050,axiom,
! [X70,X71,X17,X18] :
( c_Message_Omsg_OCrypt(X71,X18) != c_Message_Omsg_OCrypt(X70,X17)
| X18 = X17 ),
c_0_488 ).
fof(c_0_1051,axiom,
! [X70,X71,X17,X18] :
( c_Message_Omsg_OCrypt(X71,X18) != c_Message_Omsg_OCrypt(X70,X17)
| X71 = X70 ),
c_0_489 ).
fof(c_0_1052,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_ONotes(X20,X18) != c_Event_Oevent_ONotes(X19,X17)
| X20 = X19 ),
c_0_490 ).
fof(c_0_1053,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_ONotes(X20,X18) != c_Event_Oevent_ONotes(X19,X17)
| X18 = X17 ),
c_0_491 ).
fof(c_0_1054,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_OGets(X20,X18) != c_Event_Oevent_OGets(X19,X17)
| X18 = X17 ),
c_0_492 ).
fof(c_0_1055,axiom,
! [X17,X18,X19,X20] :
( c_Event_Oevent_OGets(X20,X18) != c_Event_Oevent_OGets(X19,X17)
| X20 = X19 ),
c_0_493 ).
fof(c_0_1056,axiom,
! [X70,X17,X78,X79] : c_Message_Omsg_OCrypt(X70,X17) != c_Message_Omsg_OMPair(X79,X78),
c_0_494 ).
fof(c_0_1057,axiom,
! [X70,X17,X78,X79] : c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_OCrypt(X70,X17),
c_0_495 ).
fof(c_0_1058,axiom,
! [X17,X18,X19,X20] : c_Event_Oevent_OGets(X20,X18) != c_Event_Oevent_ONotes(X19,X17),
c_0_496 ).
fof(c_0_1059,axiom,
! [X17,X18,X19,X20] : c_Event_Oevent_ONotes(X19,X17) != c_Event_Oevent_OGets(X20,X18),
c_0_497 ).
fof(c_0_1060,axiom,
! [X70,X71,X17] : hAPP(c_Message_Omsg_OKey,X71) != c_Message_Omsg_OCrypt(X70,X17),
c_0_498 ).
fof(c_0_1061,axiom,
! [X71,X75,X76] : c_Message_Omsg_OMPair(X76,X75) != hAPP(c_Message_Omsg_OKey,X71),
c_0_499 ).
fof(c_0_1062,axiom,
! [X71,X75,X76] : hAPP(c_Message_Omsg_OKey,X71) != c_Message_Omsg_OMPair(X76,X75),
c_0_500 ).
fof(c_0_1063,axiom,
! [X70,X71,X17] : c_Message_Omsg_OCrypt(X70,X17) != hAPP(c_Message_Omsg_OKey,X71),
c_0_501 ).
fof(c_0_1064,axiom,
! [X23,X15] :
( hAPP(c_Public_OshrK,X15) != hAPP(c_Public_OshrK,X23)
| X15 = X23 ),
c_0_502 ).
fof(c_0_1065,axiom,
! [X70,X71] :
( hAPP(c_Message_Omsg_OKey,X71) != hAPP(c_Message_Omsg_OKey,X70)
| X71 = X70 ),
c_0_503 ).
fof(c_0_1066,axiom,
! [X5,X3] : c_List_Odistinct(c_List_Oremdups(X5,X3),X3),
c_0_504 ).
fof(c_0_1067,axiom,
! [X2] : c_Message_OinvKey(hAPP(c_Public_OshrK,X2)) = hAPP(c_Public_OshrK,X2),
c_0_505 ).
fof(c_0_1068,axiom,
! [X5,X3] :
( c_List_Oremdups(X5,X3) != X5
| c_List_Odistinct(X5,X3) ),
c_0_506 ).
fof(c_0_1069,plain,
! [X5,X3] :
( c_List_Oremdups(X5,X3) = X5
| ~ c_List_Odistinct(X5,X3) ),
inference(fof_simplification,[status(thm)],[c_0_507]) ).
fof(c_0_1070,plain,
! [X80,X81] :
( class_HOL_Oord(tc_fun(X80,X81))
| ~ class_HOL_Oord(X81) ),
inference(fof_simplification,[status(thm)],[c_0_508]) ).
fof(c_0_1071,plain,
! [X80,X81] :
( class_Orderings_Otop(tc_fun(X80,X81))
| ~ class_Orderings_Otop(X81) ),
inference(fof_simplification,[status(thm)],[c_0_509]) ).
fof(c_0_1072,plain,
! [X80,X81] :
( class_Orderings_Oorder(tc_fun(X80,X81))
| ~ class_Orderings_Oorder(X81) ),
inference(fof_simplification,[status(thm)],[c_0_510]) ).
fof(c_0_1073,plain,
! [X80,X81] :
( class_Lattices_Olattice(tc_fun(X80,X81))
| ~ class_Lattices_Olattice(X81) ),
inference(fof_simplification,[status(thm)],[c_0_511]) ).
fof(c_0_1074,plain,
! [X80,X81] :
( class_Orderings_Opreorder(tc_fun(X80,X81))
| ~ class_Orderings_Opreorder(X81) ),
inference(fof_simplification,[status(thm)],[c_0_512]) ).
fof(c_0_1075,plain,
! [X80,X81] :
( class_Lattices_Oboolean__algebra(tc_fun(X80,X81))
| ~ class_Lattices_Oboolean__algebra(X81) ),
inference(fof_simplification,[status(thm)],[c_0_513]) ).
fof(c_0_1076,plain,
! [X80,X81] :
( class_Lattices_Obounded__lattice(tc_fun(X80,X81))
| ~ class_Lattices_Obounded__lattice(X81) ),
inference(fof_simplification,[status(thm)],[c_0_514]) ).
fof(c_0_1077,plain,
! [X80,X81] :
( class_Lattices_Oupper__semilattice(tc_fun(X80,X81))
| ~ class_Lattices_Olattice(X81) ),
inference(fof_simplification,[status(thm)],[c_0_515]) ).
fof(c_0_1078,axiom,
! [X15,X3] :
( c_List_Olist_ONil(X3) != c_List_Oremdups(X15,X3)
| X15 = c_List_Olist_ONil(X3) ),
c_0_516 ).
fof(c_0_1079,axiom,
! [X15,X3] :
( c_List_Oremdups(X15,X3) != c_List_Olist_ONil(X3)
| X15 = c_List_Olist_ONil(X3) ),
c_0_517 ).
fof(c_0_1080,axiom,
! [X71,X75,X76] : c_Message_Omsg_OMPair(X76,X75) != c_Message_Omsg_ONonce(X71),
c_0_518 ).
fof(c_0_1081,axiom,
! [X70,X71,X17] : c_Message_Omsg_ONonce(X71) != c_Message_Omsg_OCrypt(X70,X17),
c_0_519 ).
fof(c_0_1082,axiom,
! [X70,X17,X20] : c_Message_Omsg_OCrypt(X70,X17) != c_Message_Omsg_OAgent(X20),
c_0_520 ).
fof(c_0_1083,axiom,
! [X71,X75,X76] : c_Message_Omsg_ONonce(X71) != c_Message_Omsg_OMPair(X76,X75),
c_0_521 ).
fof(c_0_1084,axiom,
! [X70,X17,X20] : c_Message_Omsg_OAgent(X20) != c_Message_Omsg_OCrypt(X70,X17),
c_0_522 ).
fof(c_0_1085,axiom,
! [X75,X76,X20] : c_Message_Omsg_OAgent(X20) != c_Message_Omsg_OMPair(X76,X75),
c_0_523 ).
fof(c_0_1086,axiom,
! [X75,X76,X20] : c_Message_Omsg_OMPair(X76,X75) != c_Message_Omsg_OAgent(X20),
c_0_524 ).
fof(c_0_1087,axiom,
! [X70,X71,X17] : c_Message_Omsg_OCrypt(X70,X17) != c_Message_Omsg_ONonce(X71),
c_0_525 ).
fof(c_0_1088,axiom,
! [X70,X20] : hAPP(c_Message_Omsg_OKey,X70) != c_Message_Omsg_OAgent(X20),
c_0_526 ).
fof(c_0_1089,axiom,
! [X70,X71] : c_Message_Omsg_ONonce(X71) != hAPP(c_Message_Omsg_OKey,X70),
c_0_527 ).
fof(c_0_1090,axiom,
! [X70,X71] : hAPP(c_Message_Omsg_OKey,X70) != c_Message_Omsg_ONonce(X71),
c_0_528 ).
fof(c_0_1091,axiom,
! [X70,X20] : c_Message_Omsg_OAgent(X20) != hAPP(c_Message_Omsg_OKey,X70),
c_0_529 ).
fof(c_0_1092,axiom,
! [X3] : c_List_Oremdups(c_List_Olist_ONil(X3),X3) = c_List_Olist_ONil(X3),
c_0_530 ).
fof(c_0_1093,axiom,
! [X3] : c_List_Olist_ONil(X3) = c_List_Oremdups(c_List_Olist_ONil(X3),X3),
c_0_531 ).
fof(c_0_1094,axiom,
! [X2] : c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X2),
c_0_532 ).
fof(c_0_1095,axiom,
! [X3] : c_List_Odistinct(c_List_Olist_ONil(X3),X3),
c_0_533 ).
fof(c_0_1096,axiom,
! [X70,X71] :
( c_Message_Omsg_ONonce(X71) != c_Message_Omsg_ONonce(X70)
| X71 = X70 ),
c_0_534 ).
fof(c_0_1097,axiom,
! [X19,X20] :
( c_Message_Omsg_OAgent(X20) != c_Message_Omsg_OAgent(X19)
| X20 = X19 ),
c_0_535 ).
fof(c_0_1098,axiom,
! [X31,X16] :
( c_Message_OinvKey(X16) != c_Message_OinvKey(X31)
| X16 = X31 ),
c_0_536 ).
fof(c_0_1099,axiom,
! [X7] : c_Message_Oanalz(c_Message_Oparts(X7)) = c_Message_Oparts(X7),
c_0_537 ).
fof(c_0_1100,axiom,
! [X7] : c_Message_Oparts(c_Message_Oparts(X7)) = c_Message_Oparts(X7),
c_0_538 ).
fof(c_0_1101,axiom,
! [X7] : c_Message_Oanalz(c_Message_Oanalz(X7)) = c_Message_Oanalz(X7),
c_0_539 ).
fof(c_0_1102,axiom,
! [X7] : c_Message_Oparts(c_Message_Oanalz(X7)) = c_Message_Oparts(X7),
c_0_540 ).
fof(c_0_1103,axiom,
! [X7] : c_Message_Osynth(c_Message_Osynth(X7)) = c_Message_Osynth(X7),
c_0_541 ).
fof(c_0_1104,axiom,
! [X70,X20] : c_Message_Omsg_OAgent(X20) != c_Message_Omsg_ONonce(X70),
c_0_542 ).
fof(c_0_1105,axiom,
! [X70,X20] : c_Message_Omsg_ONonce(X70) != c_Message_Omsg_OAgent(X20),
c_0_543 ).
fof(c_0_1106,axiom,
! [X16] : c_Message_OinvKey(c_Message_OinvKey(X16)) = X16,
c_0_544 ).
fof(c_0_1107,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
c_0_545 ).
fof(c_0_1108,axiom,
class_HOL_Oord(tc_bool),
c_0_546 ).
fof(c_0_1109,axiom,
class_Orderings_Otop(tc_bool),
c_0_547 ).
fof(c_0_1110,axiom,
class_Orderings_Oorder(tc_bool),
c_0_548 ).
fof(c_0_1111,axiom,
class_Lattices_Olattice(tc_bool),
c_0_549 ).
fof(c_0_1112,axiom,
class_Orderings_Opreorder(tc_bool),
c_0_550 ).
fof(c_0_1113,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
c_0_551 ).
fof(c_0_1114,axiom,
class_Lattices_Obounded__lattice(tc_bool),
c_0_552 ).
fof(c_0_1115,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
c_0_553 ).
fof(c_0_1116,axiom,
class_HOL_Oord(tc_nat),
c_0_554 ).
fof(c_0_1117,axiom,
class_Orderings_Oorder(tc_nat),
c_0_555 ).
fof(c_0_1118,axiom,
class_Lattices_Olattice(tc_nat),
c_0_556 ).
fof(c_0_1119,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_557 ).
fof(c_0_1120,axiom,
class_Orderings_Opreorder(tc_nat),
c_0_558 ).
fof(c_0_1121,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
c_0_559 ).
fof(c_0_1122,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
c_0_560 ).
fof(c_0_1123,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_561 ).
fof(c_0_1124,plain,
! [X67,X68,X69,X70,X71,X72] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X72,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X72),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X70),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X70),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),c_Message_Omsg_OAgent(X72)))))))),X67,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X71,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X72),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X70),c_Message_Omsg_ONonce(X68)))),c_List_Oset(X67,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X69,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X69),c_Event_Oused(X67),tc_Message_Omsg)
| ~ c_in(X67,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_562]) ).
fof(c_0_1125,plain,
! [X67,X68,X69,X70,X71,X72] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X72,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X72),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X70),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X70),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),c_Message_Omsg_OAgent(X72)))))))),X67,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X71,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X72),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X70),c_Message_Omsg_ONonce(X68)))),c_List_Oset(X67,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X69,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X69),c_Event_Oused(X67),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X67) ),
inference(variable_rename,[status(thm)],[c_0_563]) ).
fof(c_0_1126,plain,
! [X58,X59,X60,X61,X62] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X60),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X58)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X59,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X60,X59,X58),hAPP(c_Message_Omsg_OKey,X60)))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X61,c_Event_Obad,tc_Message_Oagent)
| c_in(X62,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X62,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(X59,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X61),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X60),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X61),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X60),c_Message_Omsg_OAgent(X62)))))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_564])])]) ).
fof(c_0_1127,plain,
! [X59,X60,X61,X62,X63,X64] :
( c_in(c_Event_Oevent_OSays(X64,X63,c_Message_Omsg_OCrypt(X62,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X60),c_Message_Omsg_ONonce(X60)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X62,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X60),c_Message_Omsg_ONonce(X60))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X64,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X64),c_Message_Omsg_OMPair(X61,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X62),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X62),c_Message_Omsg_OAgent(X64)))))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X62),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X63,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_565]) ).
fof(c_0_1128,plain,
! [X26,X27,X28,X29] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X29,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X29),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X29,X28,X27,X26),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X28),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X27),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X28),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X27),c_Message_Omsg_OAgent(X29)))))))),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X26,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X28,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X28),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X27),c_Message_Omsg_OAgent(X29))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_566]) ).
fof(c_0_1129,plain,
! [X47,X48,X49] :
( c_in(hAPP(c_Message_Omsg_OKey,X49),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X47)),tc_Message_Omsg)
| c_in(X49,X48,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X49),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X48,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X47),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X48,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X47,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_567]) ).
fof(c_0_1130,plain,
! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87] :
( X80 = X79
| ~ c_in(X78,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X85,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X85),c_Message_Omsg_OMPair(X81,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X84),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X79))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X87,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X87),c_Message_Omsg_OMPair(X82,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X86),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X80))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_568])])]) ).
fof(c_0_1131,plain,
! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87] :
( X85 = X84
| ~ c_in(X78,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X86,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X86),c_Message_Omsg_OMPair(X81,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X84),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X79))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X87,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X87),c_Message_Omsg_OMPair(X82,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X85),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X80))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_569])])]) ).
fof(c_0_1132,plain,
! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87] :
( X82 = X81
| ~ c_in(X78,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X85,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X85),c_Message_Omsg_OMPair(X81,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X84),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X79))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X87,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X87),c_Message_Omsg_OMPair(X82,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X86),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X80))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_570])])]) ).
fof(c_0_1133,plain,
! [X78,X79,X80,X81,X82,X83,X84,X85,X86,X87] :
( X87 = X86
| ~ c_in(X78,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X86,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X86),c_Message_Omsg_OMPair(X81,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X84),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X79))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X87,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X87),c_Message_Omsg_OMPair(X82,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X85),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X83),X80))))),c_List_Oset(X78,tc_Event_Oevent),tc_Event_Oevent) ),
inference(variable_rename,[status(thm)],[c_0_571]) ).
fof(c_0_1134,plain,
! [X41,X42,X43] :
( c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(X43),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_572]) ).
fof(c_0_1135,plain,
! [X47,X48,X49] :
( c_in(hAPP(c_Message_Omsg_OKey,X49),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X48,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X47),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X49),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X47)),tc_Message_Omsg)
| ~ c_lessequals(X48,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X47,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_573]) ).
fof(c_0_1136,plain,
! [X41,X42,X43] :
( c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X42,X41,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_574]) ).
fof(c_0_1137,plain,
! [X47,X48,X49] :
( c_in(hAPP(c_Message_Omsg_OKey,X49),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X48,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X47),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X49,X48,tc_nat)
| ~ c_lessequals(X48,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X47,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_575]) ).
fof(c_0_1138,plain,
! [X65,X66,X67,X68,X69,X70,X71] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X67),hAPP(c_Message_Omsg_OKey,X69)))),X65,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X71,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X71),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X70),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),X66))))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X70,X71,c_Message_Omsg_OCrypt(X69,c_Message_Omsg_ONonce(X67))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X65,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_576])])]) ).
fof(c_0_1139,plain,
! [X58,X59,X60,X61,X62,X63,X64] :
( ~ c_in(hAPP(c_Message_Omsg_OKey,X62),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X58)),tc_Message_Omsg)
| ~ c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X63,c_Event_Obad,tc_Message_Oagent)
| c_in(X64,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X62,X60,X58),hAPP(c_Message_Omsg_OKey,X62)))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X64,c_Message_Omsg_OCrypt(X61,c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X63),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X62),X59))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_577])])]) ).
fof(c_0_1140,plain,
! [X64,X65,X66,X67,X68,X69,X70,X71,X72] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X72,X71,c_Message_Omsg_OCrypt(X69,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X67),c_Message_Omsg_ONonce(X67)))),X64,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X66,X72,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X72),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X71),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),X65))))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X70,X72,c_Message_Omsg_OCrypt(X69,c_Message_Omsg_ONonce(X67))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X69,c_Message_OsymKeys,tc_nat)
| ~ c_in(X64,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_578]) ).
fof(c_0_1141,plain,
! [X65,X66,X67,X68,X69,X70,X71] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X67),hAPP(c_Message_Omsg_OKey,X69)))),X65,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X71,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X71),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X70),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),X66))))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X70,X71,c_Message_Omsg_OCrypt(X69,c_Message_Omsg_ONonce(X67))),c_List_Oset(X65,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X65) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_579])])]) ).
fof(c_0_1142,plain,
! [X64,X65,X66,X67,X68,X69,X70,X71,X72] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X72,X71,c_Message_Omsg_OCrypt(X69,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X67),c_Message_Omsg_ONonce(X67)))),X64,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X66,X72,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X72),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X68),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X71),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X69),X65))))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X70,X72,c_Message_Omsg_OCrypt(X69,c_Message_Omsg_ONonce(X67))),c_List_Oset(X64,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X69,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X64) ),
inference(variable_rename,[status(thm)],[c_0_580]) ).
fof(c_0_1143,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X67,X66,X62),X61,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X67,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X67),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X66),c_Message_Omsg_ONonce(X64)))),c_List_Oset(X61,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X63,X67,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X67),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X64),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X66),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X65),X62))))),c_List_Oset(X61,tc_Event_Oevent),tc_Event_Oevent)
| X67 = c_Message_Oagent_OServer
| ~ c_in(X61,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_581]) ).
fof(c_0_1144,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_in(X62,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X61)),tc_Message_Omsg)
| ~ c_in(X65,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X61,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X63,X67,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X67),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X64),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X66),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X65),X62))))),c_List_Oset(X61,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_582])])]) ).
fof(c_0_1145,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X67,X66,X62),X61,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X67,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X67),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X66),c_Message_Omsg_ONonce(X64)))),c_List_Oset(X61,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X63,X67,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X67),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X64),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X66),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X65),X62))))),c_List_Oset(X61,tc_Event_Oevent),tc_Event_Oevent)
| X67 = c_Message_Oagent_OServer
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X61) ),
inference(variable_rename,[status(thm)],[c_0_583]) ).
fof(c_0_1146,plain,
! [X43,X44,X45,X46,X47,X48,X49] :
( ~ c_in(X47,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X43,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X49,c_Message_Omsg_OCrypt(X46,c_Message_Omsg_OMPair(X45,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X48),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X47),X44))))),c_List_Oset(X43,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_584])])]) ).
fof(c_0_1147,plain,
! [X59,X60,X61,X62,X63,X64,X65] :
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X64,X60,X59),X64,X60),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X65,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X65),c_Message_Omsg_OMPair(X62,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X64),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X63),X60))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X63),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_585])])]) ).
fof(c_0_1148,plain,
! [X59,X60,X61,X62,X63,X64,X65] :
( c_in(c_Event_Oevent_OSays(X64,X65,c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X65,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X65),c_Message_Omsg_OMPair(X62,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X64),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X63),X60))))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X63),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_586]) ).
fof(c_0_1149,plain,
! [X58,X59,X60,X61,X62,X63] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X63,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X63),c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X62),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),X59))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X63,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X63),c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X62),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),X59)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X58)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_587]) ).
fof(c_0_1150,plain,
! [X59,X60,X61,X62,X63,X64,X65] :
( c_in(c_Event_Oevent_OSays(X64,X65,c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X64,c_Event_Obad,tc_Message_Oagent)
| c_in(X65,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X62,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X63,X62,X59),hAPP(c_Message_Omsg_OKey,X63)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X65),c_Message_Omsg_OMPair(X62,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X64),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X63),X60)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_588]) ).
fof(c_0_1151,plain,
! [X61,X62,X63,X64,X65,X66,X67] :
( c_in(X62,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X61)),tc_Message_Omsg)
| X62 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X66),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X65),c_Message_Omsg_OAgent(X67)))
| ~ c_in(X61,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X63,X67,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X67),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X64),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X66),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X65),X62))))),c_List_Oset(X61,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_589])])]) ).
fof(c_0_1152,plain,
! [X43,X44,X45,X46,X47,X48,X49] :
( X44 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X48),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X47),c_Message_Omsg_OAgent(X49)))
| ~ c_in(X43,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X49,c_Message_Omsg_OCrypt(X46,c_Message_Omsg_OMPair(X45,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X48),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X47),X44))))),c_List_Oset(X43,tc_Event_Oevent),tc_Event_Oevent) ),
inference(variable_rename,[status(thm)],[c_0_590]) ).
fof(c_0_1153,plain,
! [X43,X44,X45,X46,X47,X48,X49] :
( X46 = hAPP(c_Public_OshrK,X49)
| ~ c_in(X43,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X49,c_Message_Omsg_OCrypt(X46,c_Message_Omsg_OMPair(X45,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X48),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X47),X44))))),c_List_Oset(X43,tc_Event_Oevent),tc_Event_Oevent) ),
inference(variable_rename,[status(thm)],[c_0_591]) ).
fof(c_0_1154,plain,
! [X58,X59,X60,X61,X62,X63] :
( ~ c_in(X61,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X63,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X63),c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X62),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),X59)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X58)),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_592])])]) ).
fof(c_0_1155,plain,
! [X41,X42,X43] :
( c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X42,X41,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(X43),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_593]) ).
fof(c_0_1156,plain,
! [X41,X42,X43] :
( c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(X43),tc_Message_Omsg)
| ~ c_in(X42,X41,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_594]) ).
fof(c_0_1157,plain,
! [X41,X42,X43] :
( c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(X43),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_595]) ).
fof(c_0_1158,plain,
! [X41,X42,X43] :
( c_in(hAPP(c_Message_Omsg_OKey,X42),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X41,tc_nat,tc_Message_Omsg),X43,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X42,X41,tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_596])])]) ).
fof(c_0_1159,plain,
! [X59,X60,X61,X62,X63,X64,X65] :
( c_NS__Shared__Mirabelle_OIssues(X64,X65,c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61)),X59)
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X64,c_Event_Obad,tc_Message_Oagent)
| c_in(X65,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X63),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X65),c_Message_Omsg_OMPair(X62,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X64),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X63),X60)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,c_Message_Omsg_ONonce(X61)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_597]) ).
fof(c_0_1160,plain,
! [X59,X60,X61,X62,X63] :
( c_in(c_Event_Oevent_OSays(X63,X62,c_Message_Omsg_OCrypt(X61,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X60),c_Message_Omsg_ONonce(X60)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X59,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X62,c_Event_Obad,tc_Message_Oagent)
| c_in(X63,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X61,X59),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X61,X59),hAPP(c_Message_Omsg_OKey,X61)))),c_List_Oset(X59,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OAgent(X63))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X61,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X60),c_Message_Omsg_ONonce(X60))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X59)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_598]) ).
fof(c_0_1161,plain,
! [X12,X13,X14,X15] :
( c_lessequals(c_Set_Oimage(X12,c_HOL_Ouminus__class_Ouminus(X13,tc_fun(X15,tc_bool)),X15,X14),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X12,X13,X15,X14),tc_fun(X14,tc_bool)),tc_fun(X14,tc_bool))
| ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X15,tc_bool)),X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_599]) ).
fof(c_0_1162,plain,
! [X12,X13,X14,X15,X16] :
( c_lessequals(X14,X13,tc_fun(X16,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
| ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_600]) ).
fof(c_0_1163,plain,
! [X66,X67,X68,X69,X70,X71] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X69,X71,c_Message_Omsg_OCrypt(X68,c_Message_Omsg_ONonce(X67))),X66,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X70,X69,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X69),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X68),c_Message_Omsg_OAgent(X71)))),c_List_Oset(X66,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X68,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_Omsg_ONonce(X67),c_Event_Oused(X66),tc_Message_Omsg)
| ~ c_in(X66,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_601]) ).
fof(c_0_1164,plain,
! [X58,X59,X60,X61,X62,X63] :
( X59 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X62),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),c_Message_Omsg_OAgent(X63)))
| ~ c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X63,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X63),c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X62),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X61),X59)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X58)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_602]) ).
fof(c_0_1165,plain,
! [X58,X59,X60,X61,X62,X63] :
( c_in(X61,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X58)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X63,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X63),c_Message_Omsg_OMPair(X60,c_Message_Omsg_OMPair(X62,c_Message_Omsg_OMPair(X61,X59))))),c_List_Oset(X58,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_603])])]) ).
fof(c_0_1166,plain,
! [X66,X67,X68,X69,X70,X71] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X69,X71,c_Message_Omsg_OCrypt(X68,c_Message_Omsg_ONonce(X67))),X66,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X70,X69,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X69),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X68),c_Message_Omsg_OAgent(X71)))),c_List_Oset(X66,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X68,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_Omsg_ONonce(X67),c_Event_Oused(X66),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X66) ),
inference(variable_rename,[status(thm)],[c_0_604]) ).
fof(c_0_1167,plain,
! [X12,X13,X14,X15,X16] :
( c_lessequals(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
| ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool))
| ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_605]) ).
fof(c_0_1168,plain,
! [X22,X23,X24,X25] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X23)),c_Message_Oparts(X24),tc_Message_Omsg)
| c_in(X23,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X25,X24,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X22,c_Message_Osynth(c_Message_Oanalz(X24)),tc_Message_Omsg)
| ~ c_in(X23,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X22,X25,tc_Message_Omsg))),tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_606])])]) ).
fof(c_0_1169,plain,
! [X75,X76,X77,X78,X79,X80,X81,X82] :
( c_in(X76,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X75)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X77,X82,c_Message_Omsg_OCrypt(X79,c_Message_Omsg_OMPair(X78,c_Message_Omsg_OMPair(X81,c_Message_Omsg_OMPair(X80,X76))))),c_List_Oset(X75,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_607])])]) ).
fof(c_0_1170,plain,
! [X62,X63,X64] :
( c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X62)),tc_Message_Omsg)
| X64 = X63
| ~ c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X63),c_Event_Oknows(c_Message_Oagent_OSpy,X62),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X63,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X62,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_608]) ).
fof(c_0_1171,plain,
! [X26,X27,X28,X29] :
( c_in(c_Event_Oevent_OSays(X29,X28,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X29,X28,X27,X26)),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X29,X28,X27,X26) ),
inference(variable_rename,[status(thm)],[c_0_609]) ).
fof(c_0_1172,plain,
! [X28,X29,X30,X31,X32] :
( ~ c_in(X29,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X28)),tc_Message_Omsg)
| c_in(X29,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X32,X31,X30),X28,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_610])])]) ).
fof(c_0_1173,plain,
! [X25,X26,X27,X28] :
( X26 = hAPP(X25,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X26,X25,X28,X27))
| ~ c_in(X26,c_Set_Oimage(X25,c_Orderings_Otop__class_Otop(tc_fun(X27,tc_bool)),X27,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_611]) ).
fof(c_0_1174,plain,
! [X12,X13,X14,X15,X16] : c_Set_Oimage(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X15,tc_bool)),X15,X16) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X12,X14,X15,X16),c_Set_Oimage(X12,X13,X15,X16),tc_fun(X16,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_612]) ).
fof(c_0_1175,plain,
! [X12,X13,X14,X15,X16] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X12,X14,X15,X16),c_Set_Oimage(X12,X13,X15,X16),tc_fun(X16,tc_bool)) = c_Set_Oimage(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X15,tc_bool)),X15,X16),
inference(variable_rename,[status(thm)],[c_0_613]) ).
fof(c_0_1176,plain,
! [X13,X14,X15,X16,X17] :
( c_in(X14,X15,X17)
| ~ c_in(hAPP(X13,X14),c_Set_Oimage(X13,X15,X17,X16),X16)
| ~ c_Fun_Oinj__on(X13,c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X17,X16) ),
inference(variable_rename,[status(thm)],[c_0_614]) ).
fof(c_0_1177,plain,
! [X12,X13,X14,X15,X16] :
( c_Set_Oimage(X12,X14,X16,X15) != c_Set_Oimage(X12,X13,X16,X15)
| ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_615]) ).
fof(c_0_1178,plain,
! [X62,X63,X64] :
( c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X63),c_Event_Oknows(c_Message_Oagent_OSpy,X62),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X64),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X62)),tc_Message_Omsg)
| c_in(X63,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X62,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_616]) ).
fof(c_0_1179,plain,
! [X12,X13,X14,X15,X16] :
( c_Set_Oimage(X12,X14,X16,X15) != c_Set_Oimage(X12,X13,X16,X15)
| ~ c_Fun_Oinj__on(X12,c_Orderings_Otop__class_Otop(tc_fun(X16,tc_bool)),X16,X15)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_617]) ).
fof(c_0_1180,plain,
! [X26,X27] :
( c_in(X26,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X27,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X26),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X26),c_Event_Oknows(c_Message_Oagent_OSpy,X27),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_618])])]) ).
fof(c_0_1181,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_lessequals(X16,X18,tc_fun(X19,tc_bool))
| c_lessequals(c_Set_Oimage(X17,X16,X19,X20),c_Set_Oimage(X17,X18,X19,X20),tc_fun(X20,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_619])])]) ).
fof(c_0_1182,plain,
! [X12,X13,X14,X15,X16] :
( c_lessequals(c_Set_Oimage(X12,X14,X16,X15),c_Set_Oimage(X12,X13,X16,X15),tc_fun(X15,tc_bool))
| ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_620]) ).
fof(c_0_1183,plain,
! [X22,X23,X24] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X22,X23,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X24)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X24,X23,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Osynth(c_Message_Oanalz(X24)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_621]) ).
fof(c_0_1184,plain,
! [X13,X14,X15,X16,X17] :
( c_in(hAPP(X13,X14),c_Set_Oimage(X13,X15,X17,X16),X16)
| ~ c_in(X14,X15,X17)
| ~ c_Fun_Oinj__on(X13,c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X17,X16) ),
inference(variable_rename,[status(thm)],[c_0_622]) ).
fof(c_0_1185,plain,
! [X17,X18,X19] :
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(c_Set_Oinsert(X17,X19,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_623]) ).
fof(c_0_1186,plain,
! [X17,X18,X19] :
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(c_Set_Oinsert(X17,X19,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_624]) ).
fof(c_0_1187,plain,
! [X58,X59,X60,X61] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X61,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X61),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X60),c_Message_Omsg_ONonce(X59)))),X58,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X59),c_Event_Oused(X58),tc_Message_Omsg)
| ~ c_in(X58,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_625])])]) ).
fof(c_0_1188,plain,
! [X26,X27] :
( ~ c_in(X27,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X27),c_Event_Oused(X26),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_626]) ).
fof(c_0_1189,plain,
! [X16,X17,X18,X19,X20,X21] :
( c_in(hAPP(X17,X16),X18,X21)
| ~ c_in(X16,X19,X20)
| ~ c_lessequals(c_Set_Oimage(X17,X19,X20,X21),X18,tc_fun(X21,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_627]) ).
fof(c_0_1190,plain,
! [X70,X71,X72,X73,X74] :
( c_NS__Shared__Mirabelle_OIssues(X73,X74,c_Message_Omsg_OCrypt(X72,c_Message_Omsg_ONonce(X71)),X70)
| ~ c_in(X70,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X73,c_Event_Obad,tc_Message_Oagent)
| c_in(X74,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X72),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X70)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X73,X74,c_Message_Omsg_OCrypt(X72,c_Message_Omsg_ONonce(X71))),c_List_Oset(X70,tc_Event_Oevent),tc_Event_Oevent) ),
inference(variable_rename,[status(thm)],[c_0_628]) ).
fof(c_0_1191,plain,
! [X29,X30,X31,X32] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X31),X29)),c_Set_Oimage(c_Public_OpublicKey(X30),X32,tc_Message_Oagent,tc_nat),tc_nat),
inference(variable_rename,[status(thm)],[c_0_629]) ).
fof(c_0_1192,plain,
! [X29,X30,X31,X32] :
( c_in(X29,X32,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X31),X29),c_Set_Oimage(c_Public_OpublicKey(X30),X32,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_630]) ).
fof(c_0_1193,plain,
! [X17,X18,X19] : c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(c_Set_Oinsert(X17,X19,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_631]) ).
fof(c_0_1194,plain,
! [X29,X30,X31] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X30),X29)),c_Set_Oimage(c_Public_OshrK,X31,tc_Message_Oagent,tc_nat),tc_nat),
inference(variable_rename,[status(thm)],[c_0_632]) ).
fof(c_0_1195,plain,
! [X37,X38,X39,X40] :
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X40,X38,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X39,X37,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X38),c_Message_Oanalz(X37),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X40),c_Message_Oanalz(X39),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_633]) ).
fof(c_0_1196,plain,
! [X58,X59,X60,X61] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X61,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X61),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X60),c_Message_Omsg_ONonce(X59)))),X58,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X59),c_Event_Oused(X58),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X58) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_634])])]) ).
fof(c_0_1197,plain,
! [X29,X30] :
( c_in(X29,X30,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X29),c_Set_Oimage(c_Public_OshrK,X30,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_635]) ).
fof(c_0_1198,plain,
! [X16,X17] :
( c_in(X16,X17,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oimage(c_Message_Omsg_OKey,X17,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_636]) ).
fof(c_0_1199,plain,
! [X29,X30,X31,X32] :
( X31 = X30
| ~ c_in(hAPP(c_Public_OpublicKey(X31),X29),c_Set_Oimage(c_Public_OpublicKey(X30),X32,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_637])])]) ).
fof(c_0_1200,plain,
! [X13,X14,X15,X16,X17] : c_Set_Oinsert(hAPP(X13,X14),c_Set_Oimage(X13,X15,X16,X17),X17) = c_Set_Oimage(X13,c_Set_Oinsert(X14,X15,X16),X16,X17),
inference(variable_rename,[status(thm)],[c_0_638]) ).
fof(c_0_1201,plain,
! [X13,X14,X15,X16,X17] : c_Set_Oimage(X13,c_Set_Oinsert(X14,X15,X16),X16,X17) = c_Set_Oinsert(hAPP(X13,X14),c_Set_Oimage(X13,X15,X16,X17),X17),
inference(variable_rename,[status(thm)],[c_0_639]) ).
fof(c_0_1202,plain,
! [X16,X17,X18,X19,X20] :
( c_Set_Oinsert(hAPP(X17,X16),c_Set_Oimage(X17,X18,X20,X19),X19) = c_Set_Oimage(X17,X18,X20,X19)
| ~ c_in(X16,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_640]) ).
fof(c_0_1203,plain,
! [X29,X30,X31] : ~ c_in(hAPP(c_Public_OpublicKey(X30),X29),c_Set_Oimage(c_Public_OshrK,X31,tc_Message_Oagent,tc_nat),tc_nat),
inference(variable_rename,[status(thm)],[c_0_641]) ).
fof(c_0_1204,plain,
! [X29,X30,X31] : ~ c_in(hAPP(c_Public_OshrK,X29),c_Set_Oimage(c_Public_OpublicKey(X30),X31,tc_Message_Oagent,tc_nat),tc_nat),
inference(variable_rename,[status(thm)],[c_0_642]) ).
fof(c_0_1205,plain,
! [X28,X29,X30,X31] :
( ~ c_in(X29,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X28)),tc_Message_Omsg)
| c_in(X29,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X31,X30),X28,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_643])])]) ).
fof(c_0_1206,plain,
! [X28,X29,X30,X31] :
( ~ c_in(X29,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X28)),tc_Message_Omsg)
| c_in(X29,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X31,X30),X28,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_644])])]) ).
fof(c_0_1207,plain,
! [X17,X18,X19] : ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Set_Oimage(c_Message_Omsg_OKey,X19,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_645]) ).
fof(c_0_1208,plain,
! [X12,X13,X14,X15,X16] :
( c_Fun_Oinj__on(X12,X14,X16,X15)
| ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_646]) ).
fof(c_0_1209,plain,
! [X12,X13,X14,X15,X16] :
( c_Fun_Oinj__on(X12,X13,X16,X15)
| ~ c_Fun_Oinj__on(X12,c_Lattices_Oupper__semilattice__class_Osup(X14,X13,tc_fun(X16,tc_bool)),X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_647]) ).
fof(c_0_1210,plain,
! [X30,X31,X32] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),X32,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),c_Message_Oanalz(c_Set_Oinsert(X31,c_Set_Oinsert(X30,X32,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_648]) ).
fof(c_0_1211,plain,
! [X30,X31,X32] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),X32,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),c_Message_Oparts(c_Set_Oinsert(X31,c_Set_Oinsert(X30,X32,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_649]) ).
fof(c_0_1212,plain,
! [X30,X31,X32,X33] :
( c_in(X30,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X33,X32,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X31,c_Message_Oparts(X32),tc_Message_Omsg)
| ~ c_in(X30,c_Message_Oparts(c_Set_Oinsert(X31,X33,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_650]) ).
fof(c_0_1213,plain,
! [X16,X17] : ~ c_in(c_Message_Omsg_ONonce(X16),c_Set_Oimage(c_Message_Omsg_OKey,X17,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_651]) ).
fof(c_0_1214,plain,
! [X26,X27,X28,X29] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X26,c_List_Olist_OCons(c_Event_Oevent_OSays(X29,X28,X27),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_652]) ).
fof(c_0_1215,plain,
! [X13,X14,X15,X16,X17] :
( c_Fun_Oinj__on(X13,X15,X17,X16)
| ~ c_Fun_Oinj__on(X13,c_Set_Oinsert(X14,X15,X17),X17,X16) ),
inference(variable_rename,[status(thm)],[c_0_653]) ).
fof(c_0_1216,plain,
! [X54,X55,X56,X57] :
( c_in(X56,c_List_Oset(c_List_Oappend(X55,c_List_Olist_OCons(X56,X54,X57),X57),X57),X57)
| c_in(X56,c_List_Oset(X55,X57),X57) ),
inference(variable_rename,[status(thm)],[c_0_654]) ).
fof(c_0_1217,plain,
! [X54,X55,X56,X57] :
( c_in(X56,c_List_Oset(c_List_Oappend(X55,c_List_Olist_OCons(X56,X54,X57),X57),X57),X57)
| c_in(X56,c_List_Oset(X54,X57),X57) ),
inference(variable_rename,[status(thm)],[c_0_655]) ).
fof(c_0_1218,plain,
! [X26,X27,X28] :
( c_in(X27,c_Event_OinitState(X28),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X28,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X28,X27,X26),X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
| X28 = c_Message_Oagent_OSpy
| ~ c_in(X27,c_Event_Oknows(X28,X26),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_656]) ).
fof(c_0_1219,plain,
! [X51,X52,X53] :
( c_in(X51,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X53)),c_Message_Oparts(X53),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X52,c_Message_Osynth(c_Message_Oanalz(X53)),tc_Message_Omsg)
| ~ c_in(X51,c_Message_Oparts(c_Set_Oinsert(X52,X53,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_657]) ).
fof(c_0_1220,plain,
! [X22,X23,X24,X25] :
( c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Oanalz(X25),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Oanalz(c_Set_Oinsert(X22,X25,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X24,X25,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Osynth(c_Message_Oanalz(X24)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_658]) ).
fof(c_0_1221,plain,
! [X33,X34,X35,X36,X37] : c_lessequals(c_Event_Oknows(X37,X33),c_Event_Oknows(X37,c_List_Olist_OCons(c_Event_Oevent_OSays(X36,X35,X34),X33,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_659]) ).
fof(c_0_1222,plain,
! [X12,X13,X14,X15,X16] :
( c_Fun_Oinj__on(X12,X14,X16,X15)
| ~ c_lessequals(X14,X13,tc_fun(X16,tc_bool))
| ~ c_Fun_Oinj__on(X12,X13,X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_660]) ).
fof(c_0_1223,plain,
! [X26,X27,X28,X29] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X26),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X29,X28,X27),X26,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_661]) ).
fof(c_0_1224,plain,
! [X43] : c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X43,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X43,tc_nat,tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_662]) ).
fof(c_0_1225,plain,
! [X43] : c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X43,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X43,tc_nat,tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_663]) ).
fof(c_0_1226,plain,
! [X54,X55,X56,X57] : c_in(X56,c_List_Oset(c_List_Oappend(X55,c_List_Olist_OCons(X56,X54,X57),X57),X57),X57),
inference(variable_rename,[status(thm)],[c_0_664]) ).
fof(c_0_1227,plain,
! [X56,X57,X58] :
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X58,X57),X56,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X57,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X56))),tc_Message_Omsg)
| ~ c_in(X56,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_665])])]) ).
fof(c_0_1228,plain,
! [X16,X17,X18,X19] : c_in(hAPP(X17,X16),c_Set_Oimage(X17,c_Orderings_Otop__class_Otop(tc_fun(X18,tc_bool)),X18,X19),X19),
inference(variable_rename,[status(thm)],[c_0_666]) ).
fof(c_0_1229,plain,
! [X48,X49,X50] :
( c_in(hAPP(c_Public_OpublicKey(X49),X48),c_Set_Oimage(c_Public_OpublicKey(X49),X50,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X48,X50,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_667]) ).
fof(c_0_1230,plain,
! [X28,X29,X30] :
( c_in(X28,c_Message_Oparts(X29),tc_Message_Omsg)
| c_in(X28,c_Message_Oparts(X30),tc_Message_Omsg)
| ~ c_in(X28,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X30,X29,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_668])])]) ).
fof(c_0_1231,plain,
! [X68,X69,X70,X71,X72] :
( ~ c_in(X68,X70,X71)
| c_in(hAPP(X69,X68),c_Set_Oimage(X69,X70,X71,X72),X72) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_669])])]) ).
fof(c_0_1232,plain,
! [X16,X17,X18,X19,X20] :
( ~ c_in(X16,X18,X19)
| c_in(hAPP(X17,X16),c_Set_Oimage(X17,X18,X19,X20),X20) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_670])])]) ).
fof(c_0_1233,plain,
! [X16,X17,X18,X19,X20] :
( c_in(hAPP(X17,X16),c_Set_Oimage(X17,X18,X19,X20),X20)
| ~ c_in(X16,X18,X19) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_671])])]) ).
fof(c_0_1234,plain,
! [X16,X17,X18,X19,X20] :
( c_in(hAPP(X17,X16),c_Set_Oimage(X17,X18,X20,X19),X19)
| ~ c_in(X16,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_672]) ).
fof(c_0_1235,plain,
! [X22,X23,X24,X25] :
( c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Oanalz(c_Set_Oinsert(X22,X25,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X23),c_Message_Oanalz(X25),tc_Message_Omsg)
| ~ c_lessequals(X24,X25,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Osynth(c_Message_Oanalz(X24)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_673]) ).
fof(c_0_1236,plain,
! [X29,X30] :
( c_in(hAPP(c_Public_OshrK,X29),c_Set_Oimage(c_Public_OshrK,X30,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X29,X30,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_674]) ).
fof(c_0_1237,plain,
! [X16,X17] :
( c_in(hAPP(c_Message_Omsg_OKey,X16),c_Set_Oimage(c_Message_Omsg_OKey,X17,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X16,X17,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_675]) ).
fof(c_0_1238,plain,
! [X15,X16,X17,X18,X19] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X19,tc_bool)),tc_fun(X19,tc_bool))
| ~ c_lessequals(X17,X15,tc_fun(X19,tc_bool))
| ~ c_lessequals(X18,X16,tc_fun(X19,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_676]) ).
fof(c_0_1239,plain,
! [X24,X25,X26,X27,X28,X29] :
( hAPP(X26,X25) != hAPP(X26,X24)
| ~ c_Fun_Oinj__on(X26,X27,X29,X28)
| X25 = X24
| ~ c_in(X24,X27,X29)
| ~ c_in(X25,X27,X29) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_677])])]) ).
fof(c_0_1240,plain,
! [X48,X49,X50,X51,X52,X53] :
( hAPP(X50,X49) != hAPP(X50,X48)
| ~ c_in(X48,X51,X53)
| ~ c_in(X49,X51,X53)
| ~ c_Fun_Oinj__on(X50,X51,X53,X52)
| X49 = X48 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_678])])]) ).
fof(c_0_1241,plain,
! [X24,X25,X26,X27,X28,X29] :
( hAPP(X26,X25) != hAPP(X26,X24)
| ~ c_in(X24,X27,X29)
| ~ c_in(X25,X27,X29)
| ~ c_Fun_Oinj__on(X26,X27,X29,X28)
| X25 = X24 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_679])])]) ).
fof(c_0_1242,plain,
! [X24,X25,X26,X27,X28,X29] :
( hAPP(X26,X25) != hAPP(X26,X24)
| ~ c_in(X24,X27,X29)
| ~ c_in(X25,X27,X29)
| X25 = X24
| ~ c_Fun_Oinj__on(X26,X27,X29,X28) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_680])])]) ).
fof(c_0_1243,plain,
! [X17,X18,X19] :
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(c_Set_Oinsert(X17,X19,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_681]) ).
fof(c_0_1244,plain,
! [X26,X27,X28] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X26,c_List_Olist_OCons(c_Event_Oevent_ONotes(X28,X27),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg)
| ~ c_in(X28,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_682]) ).
fof(c_0_1245,plain,
! [X8,X9] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X8,X9,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X9)),c_Message_Oparts(X9),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X8,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_683]) ).
fof(c_0_1246,plain,
! [X16,X17,X18,X19] :
( hBOOL(hAPP(X17,X16))
| hBOOL(hAPP(X18,X16))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),X16)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_684])])]) ).
fof(c_0_1247,plain,
! [X56,X57,X58] :
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X58,X57),X56,tc_Event_Oevent))
| ~ c_in(X57,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X56))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X56) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_685])])]) ).
fof(c_0_1248,plain,
! [X30,X31,X32] :
( c_in(X30,c_Message_Oanalz(X32),tc_Message_Omsg)
| ~ c_in(X31,c_Message_Oanalz(X32),tc_Message_Omsg)
| ~ c_in(X30,c_Message_Oanalz(c_Set_Oinsert(X31,X32,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_686]) ).
fof(c_0_1249,plain,
! [X30,X31,X32] :
( c_in(X30,c_Message_Osynth(X32),tc_Message_Omsg)
| ~ c_in(X31,c_Message_Osynth(X32),tc_Message_Omsg)
| ~ c_in(X30,c_Message_Osynth(c_Set_Oinsert(X31,X32,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_687]) ).
fof(c_0_1250,plain,
! [X24,X25,X26,X27,X28] :
( c_List_Oappend(X26,c_List_Olist_OCons(X27,c_List_Olist_ONil(X28),X28),X28) != c_List_Oappend(X24,c_List_Olist_OCons(X25,c_List_Olist_ONil(X28),X28),X28)
| X27 = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_688])])]) ).
fof(c_0_1251,plain,
! [X24,X25,X26,X27,X28] :
( c_List_Oappend(X26,c_List_Olist_OCons(X27,c_List_Olist_ONil(X28),X28),X28) != c_List_Oappend(X24,c_List_Olist_OCons(X25,c_List_Olist_ONil(X28),X28),X28)
| X26 = X24 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_689])])]) ).
fof(c_0_1252,plain,
! [X24,X25,X26,X27] :
( c_in(X24,c_List_Oset(X25,X27),X27)
| X24 = X26
| ~ c_in(X24,c_List_Oset(c_List_Olist_OCons(X26,X25,X27),X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_690]) ).
fof(c_0_1253,plain,
! [X22,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X23),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_691]) ).
fof(c_0_1254,plain,
! [X22,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X23),c_Message_Oanalz(X22),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_692]) ).
fof(c_0_1255,plain,
! [X22,X23] : c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X23),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_693]) ).
fof(c_0_1256,plain,
! [X22,X23] : c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X23),c_Message_Osynth(X22),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_694]) ).
fof(c_0_1257,plain,
! [X22,X23,X24] :
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X22,X23,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X24),c_Message_Oparts(X23),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,X24,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_695]) ).
fof(c_0_1258,plain,
! [X22,X23] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X23),X22,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X23),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_696]) ).
fof(c_0_1259,plain,
! [X24,X25,X26,X27,X28] :
( hAPP(X26,X25) != hAPP(X26,X24)
| ~ c_Fun_Oinj__on(X26,c_Orderings_Otop__class_Otop(tc_fun(X28,tc_bool)),X28,X27)
| X25 = X24 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_697])])]) ).
fof(c_0_1260,plain,
! [X26,X27] :
( ~ c_in(X27,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26))),tc_nat)
| ~ c_in(X26,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X27,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X27),c_Event_Oused(X26),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_698]) ).
fof(c_0_1261,plain,
! [X26,X27,X28] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X26,c_List_Olist_OCons(c_Event_Oevent_ONotes(X28,X27),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X26)
| c_in(X28,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_699]) ).
fof(c_0_1262,plain,
! [X17,X18,X19] :
( c_in(X17,c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X18),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_700]) ).
fof(c_0_1263,plain,
! [X17,X18,X19] :
( c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
| ~ c_in(X17,c_Message_Osynth(c_Message_Oanalz(X19)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X18),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_701]) ).
fof(c_0_1264,plain,
! [X15,X16,X17,X18] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(X17,X15,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_702]) ).
fof(c_0_1265,plain,
! [X15,X16,X17,X18] :
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(X17,X15,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_703]) ).
fof(c_0_1266,plain,
! [X42,X43,X44,X45,X46] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X44,X45),c_Set_Oinsert(c_Message_Omsg_OMPair(X43,X42),X46,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X43,X42),c_Set_Oinsert(c_Message_Omsg_OCrypt(X44,X45),X46,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_704]) ).
fof(c_0_1267,plain,
! [X8,X9,X10] :
( c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X10)),c_Message_Oanalz(X9),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X10),X8),c_Message_Oanalz(X9),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_705])])]) ).
fof(c_0_1268,plain,
! [X6,X7,X8,X9] :
( c_in(c_List_Oappend(X7,X6,X9),c_List_Olists(X8,X9),tc_List_Olist(X9))
| ~ c_in(X6,c_List_Olists(X8,X9),tc_List_Olist(X9))
| ~ c_in(X7,c_List_Olists(X8,X9),tc_List_Olist(X9)) ),
inference(variable_rename,[status(thm)],[c_0_706]) ).
fof(c_0_1269,plain,
! [X26,X27,X28] :
( c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(X28,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X28),X27),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_707])])]) ).
fof(c_0_1270,plain,
! [X32,X33,X34,X35] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X34),c_Set_Oinsert(c_Message_Omsg_OCrypt(X32,X33),X35,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X32,X33),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X34),X35,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_708]) ).
fof(c_0_1271,plain,
! [X30,X31,X32,X33] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X32),c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),X33,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X32),X33,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_709]) ).
fof(c_0_1272,plain,
! [X15,X16,X17,X18] : c_Lattices_Oupper__semilattice__class_Osup(X17,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),tc_fun(X18,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X15,tc_fun(X18,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_710]) ).
fof(c_0_1273,plain,
! [X15,X16,X17,X18] : c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X15,tc_fun(X18,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X17,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),tc_fun(X18,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_711]) ).
fof(c_0_1274,plain,
! [X15,X16,X17,X18] : c_Lattices_Oupper__semilattice__class_Osup(X17,c_Lattices_Oupper__semilattice__class_Osup(X16,X15,tc_fun(X18,tc_bool)),tc_fun(X18,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X16,c_Lattices_Oupper__semilattice__class_Osup(X17,X15,tc_fun(X18,tc_bool)),tc_fun(X18,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_712]) ).
fof(c_0_1275,plain,
! [X17,X18,X19] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oparts(c_Set_Oinsert(X17,X19,tc_Message_Omsg)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_713]) ).
fof(c_0_1276,plain,
! [X26,X27,X28] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X26,c_List_Olist_OCons(c_Event_Oevent_OGets(X28,X27),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X26),
inference(variable_rename,[status(thm)],[c_0_714]) ).
fof(c_0_1277,plain,
! [X55,X56,X57,X58] :
( c_List_Olist__inter(c_List_Olist_OCons(X57,X56,X58),X55,X58) = c_List_Olist_OCons(X57,c_List_Olist__inter(X56,X55,X58),X58)
| ~ c_in(X57,c_List_Oset(X55,X58),X58) ),
inference(variable_rename,[status(thm)],[c_0_715]) ).
fof(c_0_1278,plain,
! [X28,X29,X30] :
( c_in(X28,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X30,X29,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X28,c_Message_Oanalz(X29),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_716])])]) ).
fof(c_0_1279,plain,
! [X15,X16,X17,X18] :
( c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X15,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_717]) ).
fof(c_0_1280,plain,
! [X15,X16,X17,X18] :
( c_lessequals(X17,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X15,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_718]) ).
fof(c_0_1281,plain,
! [X33,X34,X35,X36] : c_lessequals(c_Event_Oknows(X36,X33),c_Event_Oknows(X36,c_List_Olist_OCons(c_Event_Oevent_ONotes(X35,X34),X33,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_719]) ).
fof(c_0_1282,plain,
! [X33,X34,X35,X36] : c_lessequals(c_Event_Oknows(X36,X33),c_Event_Oknows(X36,c_List_Olist_OCons(c_Event_Oevent_OGets(X35,X34),X33,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_720]) ).
fof(c_0_1283,plain,
! [X28,X29,X30,X31] :
( c_in(X28,X29,X31)
| c_in(X28,X30,X31)
| ~ c_in(X28,c_Lattices_Oupper__semilattice__class_Osup(X30,X29,tc_fun(X31,tc_bool)),X31) ),
inference(variable_rename,[status(thm)],[c_0_721]) ).
fof(c_0_1284,plain,
! [X26,X27,X28] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X26),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X28,X27),X26,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_722]) ).
fof(c_0_1285,plain,
! [X26,X27,X28] : c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X26),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X28,X27),X26,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_723]) ).
fof(c_0_1286,plain,
! [X4,X5,X6] :
( c_lessequals(X4,X5,tc_fun(X6,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_fun(X6,tc_bool)),c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_724]) ).
fof(c_0_1287,plain,
! [X16,X17,X18,X19] :
( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| ~ c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
| c_in(X16,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_725]) ).
fof(c_0_1288,plain,
! [X16,X17,X18,X19] :
( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| c_in(X16,X18,X19)
| ~ c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_726]) ).
fof(c_0_1289,plain,
! [X24,X25,X26,X27] :
( hBOOL(hAPP(X26,X25))
| X24 = X25
| ~ hBOOL(hAPP(c_Set_Oinsert(X24,X26,X27),X25)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_727])])]) ).
fof(c_0_1290,plain,
! [X26,X27] :
( c_in(X27,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(X26,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_728]) ).
fof(c_0_1291,plain,
! [X26,X27] :
( c_in(X27,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(X26,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_729]) ).
fof(c_0_1292,plain,
! [X15,X16,X17,X18] :
( c_lessequals(c_Set_Oinsert(X15,X17,X18),c_Set_Oinsert(X15,X16,X18),tc_fun(X18,tc_bool))
| ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_730]) ).
fof(c_0_1293,plain,
! [X26,X27,X28,X29] : c_Event_Oknows(X29,c_List_Olist_OCons(c_Event_Oevent_OSays(X29,X28,X27),X26,tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(X29,X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_731]) ).
fof(c_0_1294,plain,
! [X43,X44,X45,X46] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X43,X45),c_Set_Oinsert(c_Message_Omsg_ONonce(X44),X46,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X44),c_Set_Oinsert(c_Message_Omsg_OCrypt(X43,X45),X46,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_732]) ).
fof(c_0_1295,plain,
! [X17,X18,X19,X20] : c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X18),c_Set_Oinsert(c_Message_Omsg_OAgent(X19),X20,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X19),c_Set_Oinsert(c_Message_Omsg_OCrypt(X17,X18),X20,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_733]) ).
fof(c_0_1296,plain,
! [X26,X27,X28,X29] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X29,X28,X27),X26,tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_734]) ).
fof(c_0_1297,plain,
! [X17,X18,X19] :
( c_in(X17,c_Message_Oanalz(X19),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X18),c_Message_Oanalz(X19),tc_Message_Omsg)
| ~ c_in(X18,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_735]) ).
fof(c_0_1298,plain,
! [X8,X9] : c_lessequals(c_Set_Oinsert(X8,c_Message_Oanalz(X9),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X8,X9,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_736]) ).
fof(c_0_1299,plain,
! [X8,X9] : c_lessequals(c_Set_Oinsert(X8,c_Message_Osynth(X9),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X8,X9,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_737]) ).
fof(c_0_1300,plain,
! [X8,X9] : c_lessequals(c_Set_Oinsert(X8,c_Message_Oparts(X9),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X8,X9,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_738]) ).
fof(c_0_1301,plain,
! [X43,X44,X45] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X44),c_Set_Oinsert(c_Message_Omsg_ONonce(X43),X45,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X43),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X44),X45,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_739]) ).
fof(c_0_1302,plain,
! [X17,X18,X19] : c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Set_Oinsert(c_Message_Omsg_OAgent(X18),X19,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X18),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X19,tc_Message_Omsg),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_740]) ).
fof(c_0_1303,plain,
! [X16,X17,X18,X19] :
( c_lessequals(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool))
| ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| ~ c_in(X16,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_741]) ).
fof(c_0_1304,plain,
! [X26,X27,X28,X29] :
( c_in(X27,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X29,X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_742])])]) ).
fof(c_0_1305,plain,
! [X26,X27,X28,X29] :
( c_in(X27,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X29,X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_743])])]) ).
fof(c_0_1306,plain,
! [X6,X7,X8,X9] :
( c_in(X6,c_List_Olists(X8,X9),tc_List_Olist(X9))
| ~ c_in(c_List_Oappend(X7,X6,X9),c_List_Olists(X8,X9),tc_List_Olist(X9)) ),
inference(variable_rename,[status(thm)],[c_0_744]) ).
fof(c_0_1307,plain,
! [X6,X7,X8,X9] :
( c_in(X7,c_List_Olists(X8,X9),tc_List_Olist(X9))
| ~ c_in(c_List_Oappend(X7,X6,X9),c_List_Olists(X8,X9),tc_List_Olist(X9)) ),
inference(variable_rename,[status(thm)],[c_0_745]) ).
fof(c_0_1308,plain,
! [X15,X16,X17,X18] : c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X15,X17,X18),X16,tc_fun(X18,tc_bool)) = c_Set_Oinsert(X15,c_Lattices_Oupper__semilattice__class_Osup(X17,X16,tc_fun(X18,tc_bool)),X18),
inference(variable_rename,[status(thm)],[c_0_746]) ).
fof(c_0_1309,plain,
! [X13,X14,X15,X16] : c_Lattices_Oupper__semilattice__class_Osup(X15,c_Set_Oinsert(X13,X14,X16),tc_fun(X16,tc_bool)) = c_Set_Oinsert(X13,c_Lattices_Oupper__semilattice__class_Osup(X15,X14,tc_fun(X16,tc_bool)),X16),
inference(variable_rename,[status(thm)],[c_0_747]) ).
fof(c_0_1310,plain,
! [X16,X17,X18,X19] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),X16))
| ~ hBOOL(hAPP(X17,X16)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_748])])]) ).
fof(c_0_1311,plain,
! [X16,X17,X18,X19] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X18,X17,tc_fun(X19,tc_bool)),X16))
| ~ hBOOL(hAPP(X18,X16)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_749])])]) ).
fof(c_0_1312,plain,
! [X16,X17,X18,X19] :
( c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_750]) ).
fof(c_0_1313,plain,
! [X26,X27,X28,X29] :
( c_in(X27,c_Event_Oknows(X29,X26),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X29,X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(variable_rename,[status(thm)],[c_0_751]) ).
fof(c_0_1314,plain,
! [X26,X27,X28,X29] :
( c_in(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X29,X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_752])])]) ).
fof(c_0_1315,plain,
! [X16,X17,X18,X19] :
( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
| ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| c_in(X16,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_753]) ).
fof(c_0_1316,plain,
! [X16,X17,X18,X19] :
( c_lessequals(X18,c_Set_Oinsert(X16,X17,X19),tc_fun(X19,tc_bool))
| ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| c_in(X16,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_754]) ).
fof(c_0_1317,plain,
! [X28,X29,X30] :
( c_in(X28,c_Message_Oanalz(c_Set_Oinsert(X29,X30,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X28,c_Message_Oanalz(X30),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_755]) ).
fof(c_0_1318,plain,
! [X28,X29,X30] :
( c_in(X28,c_Message_Oparts(c_Set_Oinsert(X29,X30,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X28,c_Message_Oparts(X30),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_756]) ).
fof(c_0_1319,plain,
! [X26,X27,X28,X29] :
( c_in(X27,c_Event_Oused(X26),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X29,X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_757])])]) ).
fof(c_0_1320,plain,
! [X26,X27,X28] :
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X27),X28))),c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg)
| ~ c_in(X28,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_758]) ).
fof(c_0_1321,plain,
! [X16,X17,X18,X19] :
( c_in(X16,X17,X19)
| ~ c_lessequals(c_Set_Oinsert(X16,X18,X19),X17,tc_fun(X19,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_759]) ).
fof(c_0_1322,plain,
! [X26,X27] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(X27,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X26,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_760]) ).
fof(c_0_1323,plain,
! [X26,X27] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg)
| ~ c_in(X27,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X26,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(variable_rename,[status(thm)],[c_0_761]) ).
fof(c_0_1324,plain,
! [X4,X5,X6] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X6,tc_bool)),c_HOL_Ouminus__class_Ouminus(X5,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool))
| ~ c_lessequals(X5,X4,tc_fun(X6,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_762]) ).
fof(c_0_1325,plain,
! [X4,X5,X6] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_fun(X6,tc_bool)),c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X6,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_763]) ).
fof(c_0_1326,plain,
! [X16,X17,X18] : c_lessequals(c_List_Oset(X16,X18),c_List_Oset(c_List_Olist_OCons(X17,X16,X18),X18),tc_fun(X18,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_764]) ).
fof(c_0_1327,plain,
! [X17,X18,X19] :
( c_in(X17,c_Message_Oanalz(X19),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_765]) ).
fof(c_0_1328,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Oupper__semilattice(X27)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27)
| ~ c_lessequals(X25,X24,X27)
| ~ c_lessequals(X26,X24,X27) ),
inference(variable_rename,[status(thm)],[c_0_766]) ).
fof(c_0_1329,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Oupper__semilattice(X27)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X27),X26,X27)
| ~ c_lessequals(X24,X26,X27)
| ~ c_lessequals(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_767]) ).
fof(c_0_1330,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X25,X28)
| ~ c_lessequals(X26,X25,X28)
| ~ c_lessequals(X27,X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_768]) ).
fof(c_0_1331,plain,
! [X8,X9] :
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X8,X9,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X9))
| ~ c_in(X8,c_Message_Osynth(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_769]) ).
fof(c_0_1332,plain,
! [X17,X18,X19] :
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oanalz(X19),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X18)),c_Message_Oanalz(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_770]) ).
fof(c_0_1333,plain,
! [X46,X47,X48] : c_lessequals(c_Event_Oknows(X48,X46),c_Event_Oknows(X48,c_List_Olist_OCons(X47,X46,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_771]) ).
fof(c_0_1334,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Olattice(X27)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27) = c_Lattices_Oupper__semilattice__class_Osup(X26,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_772]) ).
fof(c_0_1335,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Olattice(X27)
| c_Lattices_Oupper__semilattice__class_Osup(X26,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X27),X27) = c_Lattices_Oupper__semilattice__class_Osup(X25,c_Lattices_Oupper__semilattice__class_Osup(X26,X24,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_773]) ).
fof(c_0_1336,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Oupper__semilattice(X27)
| c_Lattices_Oupper__semilattice__class_Osup(X26,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X27),X27) = c_Lattices_Oupper__semilattice__class_Osup(X25,c_Lattices_Oupper__semilattice__class_Osup(X26,X24,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_774]) ).
fof(c_0_1337,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Oupper__semilattice(X27)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27) = c_Lattices_Oupper__semilattice__class_Osup(X26,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_775]) ).
fof(c_0_1338,plain,
! [X37,X38,X39,X40] :
( c_Message_Oanalz(X38) != c_Message_Oanalz(X37)
| c_Message_Oanalz(X40) != c_Message_Oanalz(X39)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X40,X38,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X39,X37,tc_fun(tc_Message_Omsg,tc_bool))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_776])])]) ).
fof(c_0_1339,plain,
! [X26,X27,X28] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X28,X27),X26,tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg)
| ~ c_in(X28,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_777]) ).
fof(c_0_1340,plain,
! [X22,X23,X24] :
( c_Message_Oanalz(c_Set_Oinsert(X22,X24,tc_Message_Omsg)) = c_Message_Oanalz(X24)
| ~ c_lessequals(X23,X24,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Oanalz(X23),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_778]) ).
fof(c_0_1341,plain,
! [X30,X31,X32] :
( c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg)
| ~ c_in(X30,c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg)
| ~ c_in(X31,c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_779]) ).
fof(c_0_1342,plain,
! [X38,X39,X40,X41] : c_List_Olist_OCons(X40,c_List_Oappend(X39,X38,X41),X41) = c_List_Oappend(c_List_Olist_OCons(X40,X39,X41),X38,X41),
inference(variable_rename,[status(thm)],[c_0_780]) ).
fof(c_0_1343,plain,
! [X48,X49,X50,X51] : c_List_Olist_OCons(X50,c_List_Oappend(X49,X48,X51),X51) = c_List_Oappend(c_List_Olist_OCons(X50,X49,X51),X48,X51),
inference(variable_rename,[status(thm)],[c_0_781]) ).
fof(c_0_1344,plain,
! [X16,X17,X18,X19] : c_List_Oappend(c_List_Olist_OCons(X18,X17,X19),X16,X19) = c_List_Olist_OCons(X18,c_List_Oappend(X17,X16,X19),X19),
inference(variable_rename,[status(thm)],[c_0_782]) ).
fof(c_0_1345,plain,
! [X48,X49,X50,X51] : c_List_Oappend(c_List_Olist_OCons(X50,X49,X51),X48,X51) = c_List_Olist_OCons(X50,c_List_Oappend(X49,X48,X51),X51),
inference(variable_rename,[status(thm)],[c_0_783]) ).
fof(c_0_1346,plain,
! [X40,X41,X42,X43] : c_List_Oappend(X40,c_List_Oappend(X41,X42,X43),X43) = c_List_Oappend(c_List_Oappend(X40,X41,X43),X42,X43),
inference(variable_rename,[status(thm)],[c_0_784]) ).
fof(c_0_1347,plain,
! [X31,X32,X33,X34] : c_List_Oappend(c_List_Oappend(X31,X33,X34),X32,X34) = c_List_Oappend(X31,c_List_Oappend(X33,X32,X34),X34),
inference(variable_rename,[status(thm)],[c_0_785]) ).
fof(c_0_1348,plain,
! [X39,X40,X41,X42] : c_List_Oappend(X40,c_List_Oappend(X39,X41,X42),X42) = c_List_Oappend(c_List_Oappend(X40,X39,X42),X41,X42),
inference(variable_rename,[status(thm)],[c_0_786]) ).
fof(c_0_1349,plain,
! [X31,X32,X33,X34] : c_List_Oappend(c_List_Oappend(X33,X32,X34),X31,X34) = c_List_Oappend(X33,c_List_Oappend(X32,X31,X34),X34),
inference(variable_rename,[status(thm)],[c_0_787]) ).
fof(c_0_1350,plain,
! [X24,X25,X26,X27] : c_Set_Oinsert(X25,c_Set_Oinsert(X24,X26,X27),X27) = c_Set_Oinsert(X24,c_Set_Oinsert(X25,X26,X27),X27),
inference(variable_rename,[status(thm)],[c_0_788]) ).
fof(c_0_1351,plain,
! [X15,X16,X17,X18] :
( c_lessequals(X17,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(X16,X15,tc_fun(X18,tc_bool))
| ~ c_lessequals(X17,X16,tc_fun(X18,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_789]) ).
fof(c_0_1352,plain,
! [X16,X17,X18,X19] :
( c_in(X17,X18,X19)
| ~ c_in(X17,c_List_Oset(X16,X19),X19)
| ~ c_in(X16,c_List_Olists(X18,X19),tc_List_Olist(X19)) ),
inference(variable_rename,[status(thm)],[c_0_790]) ).
fof(c_0_1353,plain,
! [X26,X27,X28] :
( c_in(X27,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg)
| ~ c_in(X28,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_791])])]) ).
fof(c_0_1354,plain,
! [X16,X17,X18] :
( ~ c_in(X17,c_List_Oset(X16,X18),X18)
| ~ c_List_Odistinct(c_List_Olist_OCons(X17,X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_792]) ).
fof(c_0_1355,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X27,X25,X28)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_793]) ).
fof(c_0_1356,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X26,X25,X28)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X25,X28) ),
inference(variable_rename,[status(thm)],[c_0_794]) ).
fof(c_0_1357,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Oupper__semilattice(X27)
| c_lessequals(X26,X24,X27)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27) ),
inference(variable_rename,[status(thm)],[c_0_795]) ).
fof(c_0_1358,plain,
! [X24,X25,X26,X27] :
( ~ class_Lattices_Oupper__semilattice(X27)
| c_lessequals(X25,X24,X27)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X26,X25,X27),X24,X27) ),
inference(variable_rename,[status(thm)],[c_0_796]) ).
fof(c_0_1359,plain,
! [X22,X23] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X23),X22,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))),
inference(variable_rename,[status(thm)],[c_0_797]) ).
fof(c_0_1360,plain,
! [X25,X26,X27,X28] :
( c_in(X26,X27,X28)
| X26 = X25
| ~ c_in(X26,c_Set_Oinsert(X25,X27,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_798]) ).
fof(c_0_1361,plain,
! [X17,X18] :
( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X18,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oanalz(X18),tc_Message_Omsg)
| c_in(X17,c_Message_OkeysFor(c_Message_Oanalz(X18)),tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_799]) ).
fof(c_0_1362,plain,
! [X4,X5,X6] : c_Lattices_Oupper__semilattice__class_Osup(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_800]) ).
fof(c_0_1363,plain,
! [X25,X26,X27,X28] :
( c_lessequals(X27,c_Set_Oinsert(X25,X26,X28),tc_fun(X28,tc_bool))
| ~ c_lessequals(X27,X26,tc_fun(X28,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_801]) ).
fof(c_0_1364,plain,
! [X17,X18,X19] :
( c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X18),X19,tc_Message_Omsg)
| ~ c_in(X17,c_Message_Osynth(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_802]) ).
fof(c_0_1365,plain,
! [X55,X56,X57,X58] :
( c_List_Olist__inter(c_List_Olist_OCons(X57,X56,X58),X55,X58) = c_List_Olist__inter(X56,X55,X58)
| c_in(X57,c_List_Oset(X55,X58),X58) ),
inference(variable_rename,[status(thm)],[c_0_803]) ).
fof(c_0_1366,plain,
! [X28,X29,X30,X31] :
( c_in(X28,c_Lattices_Oupper__semilattice__class_Osup(X30,X29,tc_fun(X31,tc_bool)),X31)
| ~ c_in(X28,X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_804]) ).
fof(c_0_1367,plain,
! [X28,X29,X30,X31] :
( c_in(X28,c_Lattices_Oupper__semilattice__class_Osup(X30,X29,tc_fun(X31,tc_bool)),X31)
| ~ c_in(X28,X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_805]) ).
fof(c_0_1368,plain,
! [X24,X25,X26,X27] :
( hBOOL(hAPP(c_Set_Oinsert(X24,X26,X27),X25))
| ~ hBOOL(hAPP(X26,X25)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_806])])]) ).
fof(c_0_1369,plain,
! [X17,X18,X19] :
( c_in(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X18),X19,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_807]) ).
fof(c_0_1370,plain,
! [X17,X18,X19] :
( c_in(hAPP(c_Message_Omsg_OKey,X18),X19,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_808]) ).
fof(c_0_1371,plain,
! [X17,X18,X19] :
( c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X18),X19,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_809]) ).
fof(c_0_1372,plain,
! [X28,X29,X30] :
( ~ c_in(X28,X29,X30)
| ~ c_in(X28,c_HOL_Ouminus__class_Ouminus(X29,tc_fun(X30,tc_bool)),X30) ),
inference(variable_rename,[status(thm)],[c_0_810]) ).
fof(c_0_1373,plain,
! [X16,X17,X18,X19] :
( c_Set_Oinsert(X16,X18,X19) != c_Set_Oinsert(X16,X17,X19)
| c_in(X16,X17,X19)
| c_in(X16,X18,X19)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_811]) ).
fof(c_0_1374,plain,
! [X16,X17,X18] :
( c_List_Oremdups(c_List_Olist_OCons(X17,X16,X18),X18) = c_List_Olist_OCons(X17,c_List_Oremdups(X16,X18),X18)
| c_in(X17,c_List_Oset(X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_812]) ).
fof(c_0_1375,plain,
! [X22,X23,X24] :
( c_in(X22,c_Message_Oanalz(X23),tc_Message_Omsg)
| ~ c_lessequals(X24,c_Message_Oanalz(X23),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Oanalz(X24),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_813])])]) ).
fof(c_0_1376,plain,
! [X22,X23,X24] :
( c_in(X22,c_Message_Oparts(X23),tc_Message_Omsg)
| ~ c_lessequals(X24,c_Message_Oparts(X23),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Oparts(X24),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_814])])]) ).
fof(c_0_1377,plain,
! [X22,X23,X24] :
( c_in(X22,c_Message_Osynth(X23),tc_Message_Omsg)
| ~ c_lessequals(X24,c_Message_Osynth(X23),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X22,c_Message_Osynth(X24),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_815])])]) ).
fof(c_0_1378,plain,
! [X17,X18,X19] :
( c_in(X17,c_Message_Osynth(X19),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Osynth(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_816]) ).
fof(c_0_1379,plain,
! [X30,X31,X32] :
( c_in(X30,c_Message_Osynth(X32),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X31,X30),X32,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Osynth(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_817]) ).
fof(c_0_1380,plain,
! [X30,X31,X32] :
( c_in(X31,c_Message_Osynth(X32),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X31,X30),X32,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Osynth(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_818]) ).
fof(c_0_1381,plain,
! [X30,X31,X32] :
( c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Osynth(X32),tc_Message_Omsg)
| ~ c_in(X30,c_Message_Osynth(X32),tc_Message_Omsg)
| ~ c_in(X31,c_Message_Osynth(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_819]) ).
fof(c_0_1382,plain,
! [X17,X18,X19] :
( c_in(X18,c_Message_OkeysFor(X19),tc_nat)
| ~ c_in(X18,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_820]) ).
fof(c_0_1383,plain,
! [X16,X17,X18,X19] :
( c_in(X16,X17,X19)
| ~ c_in(X16,X18,X19)
| ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_821]) ).
fof(c_0_1384,plain,
! [X28,X29,X30,X31] :
( c_in(X28,X29,X31)
| ~ c_in(X28,X30,X31)
| ~ c_lessequals(X30,X29,tc_fun(X31,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_822]) ).
fof(c_0_1385,plain,
! [X16,X17,X18,X19] :
( c_in(X16,X17,X19)
| ~ c_lessequals(X18,X17,tc_fun(X19,tc_bool))
| ~ c_in(X16,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_823]) ).
fof(c_0_1386,plain,
! [X50,X51,X52,X53] :
( c_in(X50,X51,X53)
| ~ c_in(X50,X52,X53)
| ~ c_lessequals(X52,X51,tc_fun(X53,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_824]) ).
fof(c_0_1387,plain,
! [X16,X17,X18] :
( c_List_Oremdups(c_List_Olist_OCons(X17,X16,X18),X18) = c_List_Oremdups(X16,X18)
| ~ c_in(X17,c_List_Oset(X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_825]) ).
fof(c_0_1388,plain,
! [X16,X17,X18] :
( c_List_Olength__unique(c_List_Olist_OCons(X17,X16,X18),X18) = c_List_Olength__unique(X16,X18)
| ~ c_in(X17,c_List_Oset(X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_826]) ).
fof(c_0_1389,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X25,c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X28)
| ~ c_lessequals(X25,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_827]) ).
fof(c_0_1390,plain,
! [X25,X26,X27,X28] :
( ~ class_Lattices_Oupper__semilattice(X28)
| c_lessequals(X25,c_Lattices_Oupper__semilattice__class_Osup(X27,X26,X28),X28)
| ~ c_lessequals(X25,X26,X28) ),
inference(variable_rename,[status(thm)],[c_0_828]) ).
fof(c_0_1391,plain,
! [X26,X27,X28] :
( c_Event_Oknows(X28,c_List_Olist_OCons(c_Event_Oevent_OGets(X28,X27),X26,tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(X28,X26),tc_Message_Omsg)
| X28 = c_Message_Oagent_OSpy ),
inference(variable_rename,[status(thm)],[c_0_829]) ).
fof(c_0_1392,plain,
! [X6,X7,X8] : c_List_Oset(c_List_Oappend(X7,X6,X8),X8) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X7,X8),c_List_Oset(X6,X8),tc_fun(X8,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_830]) ).
fof(c_0_1393,plain,
! [X26,X27,X28] : c_Event_Oknows(X28,c_List_Olist_OCons(c_Event_Oevent_ONotes(X28,X27),X26,tc_Event_Oevent)) = c_Set_Oinsert(X27,c_Event_Oknows(X28,X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_831]) ).
fof(c_0_1394,plain,
! [X25,X26,X27,X28] :
( c_in(X26,c_Set_Oinsert(X25,X27,X28),X28)
| ~ c_in(X26,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_832]) ).
fof(c_0_1395,plain,
! [X25,X26,X27,X28] :
( c_in(X26,c_Set_Oinsert(X25,X27,X28),X28)
| ~ c_in(X26,X27,X28) ),
inference(variable_rename,[status(thm)],[c_0_833]) ).
fof(c_0_1396,plain,
! [X26,X27,X28] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X27),X28))),c_Event_Oused(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_834]) ).
fof(c_0_1397,plain,
! [X25,X26] : c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X25),X26))),c_Event_OinitState(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1398,plain,
! [X4,X5,X6] :
( X5 = X4
| ~ c_lessequals(X4,X5,tc_fun(X6,tc_bool))
| ~ c_lessequals(X5,X4,tc_fun(X6,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_836])])]) ).
fof(c_0_1399,plain,
! [X4,X5,X6] :
( X5 = X4
| ~ c_lessequals(X4,X5,tc_fun(X6,tc_bool))
| ~ c_lessequals(X5,X4,tc_fun(X6,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_837])])]) ).
fof(c_0_1400,plain,
! [X16,X17,X18] : hBOOL(hAPP(c_Set_Oinsert(X16,X17,X18),X16)),
inference(variable_rename,[status(thm)],[c_0_838]) ).
fof(c_0_1401,plain,
! [X26,X27,X28] :
( c_in(X27,c_Event_Oknows(X28,X26),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
| X28 = c_Message_Oagent_OSpy ),
inference(variable_rename,[status(thm)],[c_0_839]) ).
fof(c_0_1402,plain,
! [X49,X50,X51,X52,X53] :
( ~ class_HOL_Oord(X52)
| c_lessequals(hAPP(X51,X49),hAPP(X50,X49),X52)
| ~ c_lessequals(X51,X50,tc_fun(X53,X52)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_840])])]) ).
fof(c_0_1403,plain,
! [X26,X27,X28] :
( c_in(X27,c_Event_Oknows(X28,X26),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(variable_rename,[status(thm)],[c_0_841]) ).
fof(c_0_1404,plain,
! [X22,X23] : c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X23,X22,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X23),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_842]) ).
fof(c_0_1405,plain,
! [X17,X18] : c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X18,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),c_Message_Oparts(X18),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_843]) ).
fof(c_0_1406,plain,
! [X24,X25,X26,X27] :
( ~ class_Orderings_Opreorder(X27)
| c_lessequals(X26,X24,X27)
| ~ c_lessequals(X25,X24,X27)
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_844]) ).
fof(c_0_1407,plain,
! [X24,X25,X26,X27] :
( ~ class_Orderings_Oorder(X27)
| c_lessequals(X24,X26,X27)
| ~ c_lessequals(X24,X25,X27)
| ~ c_lessequals(X25,X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_845]) ).
fof(c_0_1408,plain,
! [X26,X27,X28] :
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X28,X27),X26,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X26)
| c_in(X28,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_846]) ).
fof(c_0_1409,plain,
! [X4,X5,X6] : c_lessequals(X5,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_847]) ).
fof(c_0_1410,plain,
! [X4,X5,X6] : c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_848]) ).
fof(c_0_1411,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X26,X25,X27)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),c_HOL_Ouminus__class_Ouminus(X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1412,plain,
! [X36,X37,X38] :
( c_Message_Oanalz(X38) != c_Message_Oanalz(X37)
| c_Message_Oanalz(c_Set_Oinsert(X36,X38,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X36,X37,tc_Message_Omsg)) ),
inference(variable_rename,[status(thm)],[c_0_850]) ).
fof(c_0_1413,plain,
! [X22,X23] :
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X23)),c_Message_Osynth(c_Message_Oanalz(X22)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,X22,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_851]) ).
fof(c_0_1414,plain,
! [X26,X27] :
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg)
| ~ c_in(X27,c_Event_Obad,tc_Message_Oagent) ),
inference(variable_rename,[status(thm)],[c_0_852]) ).
fof(c_0_1415,plain,
! [X30,X31,X32] :
( c_in(X30,c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_853]) ).
fof(c_0_1416,plain,
! [X30,X31,X32] :
( c_in(X31,c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Osynth(c_Message_Oanalz(X32)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_854]) ).
fof(c_0_1417,plain,
! [X28,X29] :
( c_in(X29,c_Event_Oused(X28),tc_Message_Omsg)
| ~ c_in(X29,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X28)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_855]) ).
fof(c_0_1418,plain,
! [X16,X17,X18] :
( c_List_Odistinct(c_List_Olist_OCons(X17,X16,X18),X18)
| ~ c_List_Odistinct(X16,X18)
| c_in(X17,c_List_Oset(X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_856]) ).
fof(c_0_1419,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Olattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26),X26) = c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_857]) ).
fof(c_0_1420,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26),X26) = c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_858]) ).
fof(c_0_1421,plain,
! [X16,X17,X18] : c_List_Olist_OCons(X17,X16,X18) = c_List_Oappend(c_List_Olist_ONil(X18),c_List_Olist_OCons(X17,X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_859]) ).
fof(c_0_1422,plain,
! [X16,X17,X18] : c_List_Oappend(c_List_Olist_ONil(X18),c_List_Olist_OCons(X17,X16,X18),X18) = c_List_Olist_OCons(X17,X16,X18),
inference(variable_rename,[status(thm)],[c_0_860]) ).
fof(c_0_1423,plain,
! [X26,X27,X28] :
( c_in(X27,c_Event_Oused(X26),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X28,X27),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_861])])]) ).
fof(c_0_1424,plain,
! [X22,X23] :
( c_lessequals(X23,c_Message_Oanalz(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_862]) ).
fof(c_0_1425,plain,
! [X22,X23] :
( c_lessequals(X23,c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_863]) ).
fof(c_0_1426,plain,
! [X22,X23] :
( c_lessequals(X23,c_Message_Osynth(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_864]) ).
fof(c_0_1427,plain,
! [X16,X17,X18] : c_Set_Oinsert(X16,c_Set_Oinsert(X16,X17,X18),X18) = c_Set_Oinsert(X16,X17,X18),
inference(variable_rename,[status(thm)],[c_0_865]) ).
fof(c_0_1428,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X26,X27),X25,X27)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),X26,X27) ),
inference(variable_rename,[status(thm)],[c_0_866]) ).
fof(c_0_1429,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),X26,X27)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X26,X27),X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_867]) ).
fof(c_0_1430,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X26,c_HOL_Ouminus__class_Ouminus(X25,X27),X27)
| ~ c_lessequals(X25,c_HOL_Ouminus__class_Ouminus(X26,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_868]) ).
fof(c_0_1431,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(X25,c_HOL_Ouminus__class_Ouminus(X26,X27),X27)
| ~ c_lessequals(X26,c_HOL_Ouminus__class_Ouminus(X25,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_869]) ).
fof(c_0_1432,plain,
! [X22,X23] :
( c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,c_Message_Oanalz(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1433,plain,
! [X22,X23] :
( c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_871]) ).
fof(c_0_1434,plain,
! [X22,X23] :
( c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,c_Message_Osynth(X22),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1435,plain,
! [X25,X26] : ~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X25),X26)),c_Message_OsymKeys,tc_nat),
inference(variable_rename,[status(thm)],[c_0_873]) ).
fof(c_0_1436,plain,
! [X17,X18] :
( c_in(hAPP(c_Message_Omsg_OKey,X17),X18,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Osynth(X18),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_874]) ).
fof(c_0_1437,plain,
! [X8,X9] :
( c_Message_Oanalz(c_Set_Oinsert(X8,X9,tc_Message_Omsg)) = c_Message_Oanalz(X9)
| ~ c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_875]) ).
fof(c_0_1438,plain,
! [X8,X9] :
( c_Message_Oparts(c_Set_Oinsert(X8,X9,tc_Message_Omsg)) = c_Message_Oparts(X9)
| ~ c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_876]) ).
fof(c_0_1439,plain,
! [X16,X17,X18] :
( c_List_Odistinct(X16,X18)
| ~ c_List_Odistinct(c_List_Olist_OCons(X17,X16,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_877]) ).
fof(c_0_1440,plain,
! [X6,X7,X8] :
( c_List_Odistinct(X7,X8)
| ~ c_List_Odistinct(c_List_Oappend(X7,X6,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_878]) ).
fof(c_0_1441,plain,
! [X6,X7,X8] :
( c_List_Odistinct(X6,X8)
| ~ c_List_Odistinct(c_List_Oappend(X7,X6,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_879]) ).
fof(c_0_1442,plain,
! [X26,X27,X28] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X27),X28)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_880]) ).
fof(c_0_1443,plain,
! [X22,X23] :
( c_lessequals(c_Message_Oanalz(X23),c_Message_Oanalz(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,X22,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_881]) ).
fof(c_0_1444,plain,
! [X22,X23] :
( c_lessequals(c_Message_Oparts(X23),c_Message_Oparts(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,X22,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_882]) ).
fof(c_0_1445,plain,
! [X22,X23] :
( c_lessequals(c_Message_OkeysFor(X23),c_Message_OkeysFor(X22),tc_fun(tc_nat,tc_bool))
| ~ c_lessequals(X23,X22,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_883]) ).
fof(c_0_1446,plain,
! [X22,X23] :
( c_lessequals(c_Message_Osynth(X23),c_Message_Osynth(X22),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X23,X22,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_884]) ).
fof(c_0_1447,plain,
! [X17,X18] :
( c_in(hAPP(c_Message_Omsg_OKey,X17),c_Message_Osynth(X18),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X17),X18,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_885]) ).
fof(c_0_1448,plain,
! [X16,X17,X18] : c_List_Oset(c_List_Olist_OCons(X17,X16,X18),X18) = c_Set_Oinsert(X17,c_List_Oset(X16,X18),X18),
inference(variable_rename,[status(thm)],[c_0_886]) ).
fof(c_0_1449,plain,
! [X4,X5,X6] :
( c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)) != X4
| c_lessequals(X5,X4,tc_fun(X6,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_887]) ).
fof(c_0_1450,plain,
! [X4,X5,X6] :
( c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)) = X4
| ~ c_lessequals(X5,X4,tc_fun(X6,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_888]) ).
fof(c_0_1451,plain,
! [X4,X5,X6] :
( c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)) = X5
| ~ c_lessequals(X4,X5,tc_fun(X6,tc_bool)) ),
inference(variable_rename,[status(thm)],[c_0_889]) ).
fof(c_0_1452,plain,
! [X35,X36,X37,X38] :
( hBOOL(hAPP(X36,X35))
| ~ c_lessequals(X37,X36,tc_fun(X38,tc_bool))
| ~ hBOOL(hAPP(X37,X35)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_890])])]) ).
fof(c_0_1453,plain,
! [X35,X36,X37,X38] :
( hBOOL(hAPP(X36,X35))
| ~ hBOOL(hAPP(X37,X35))
| ~ c_lessequals(X37,X36,tc_fun(X38,tc_bool)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_891])])]) ).
fof(c_0_1454,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X27)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X25,X27),c_HOL_Ouminus__class_Ouminus(X26,X27),X27)
| ~ c_lessequals(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[c_0_892]) ).
fof(c_0_1455,plain,
! [X17,X18,X19] :
( c_in(X17,c_Message_Oparts(X19),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oparts(X19),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_893]) ).
fof(c_0_1456,plain,
! [X30,X31,X32] :
( c_in(X31,c_Event_Oused(X32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Event_Oused(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_894]) ).
fof(c_0_1457,plain,
! [X30,X31,X32] :
( c_in(X30,c_Event_Oused(X32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Event_Oused(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_895]) ).
fof(c_0_1458,plain,
! [X30,X31,X32] :
( c_in(X31,c_Message_Oparts(X32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Oparts(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_896]) ).
fof(c_0_1459,plain,
! [X30,X31,X32] :
( c_in(X30,c_Message_Oparts(X32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Oparts(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_897]) ).
fof(c_0_1460,plain,
! [X30,X31,X32] :
( c_in(X31,c_Message_Oanalz(X32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Oanalz(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_898]) ).
fof(c_0_1461,plain,
! [X30,X31,X32] :
( c_in(X30,c_Message_Oanalz(X32),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X31,X30),c_Message_Oanalz(X32),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_899]) ).
fof(c_0_1462,plain,
! [X17,X18,X19] :
( c_in(c_Message_OinvKey(X18),c_Message_OkeysFor(X19),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X18,X17),X19,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_900]) ).
fof(c_0_1463,plain,
! [X43,X44] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X43),X44,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X43),c_Message_Oanalz(X44),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_901]) ).
fof(c_0_1464,plain,
! [X44,X45] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X44),X45,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X44),c_Message_Oanalz(X45),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_902]) ).
fof(c_0_1465,plain,
! [X43,X44] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X43),X44,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X43),c_Message_Oparts(X44),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_903]) ).
fof(c_0_1466,plain,
! [X44,X45] : c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X44),X45,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X44),c_Message_Oparts(X45),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_904]) ).
fof(c_0_1467,plain,
! [X13,X14,X15] : c_lessequals(X14,c_Set_Oinsert(X13,X14,X15),tc_fun(X15,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_905]) ).
fof(c_0_1468,plain,
! [X24,X25,X26] :
( ~ class_Orderings_Oorder(X26)
| X25 = X24
| ~ c_lessequals(X24,X25,X26)
| ~ c_lessequals(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_906]) ).
fof(c_0_1469,plain,
! [X24,X25,X26] :
( ~ class_Orderings_Oorder(X26)
| X25 = X24
| ~ c_lessequals(X24,X25,X26)
| ~ c_lessequals(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_907]) ).
fof(c_0_1470,plain,
! [X24,X25,X26] :
( ~ class_Orderings_Oorder(X26)
| X25 = X24
| ~ c_lessequals(X25,X24,X26)
| ~ c_lessequals(X24,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_908]) ).
fof(c_0_1471,plain,
! [X28,X29,X30] :
( c_in(X28,c_HOL_Ouminus__class_Ouminus(X29,tc_fun(X30,tc_bool)),X30)
| c_in(X28,X29,X30) ),
inference(variable_rename,[status(thm)],[c_0_909]) ).
fof(c_0_1472,plain,
! [X26,X27,X28] : c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X28,X27),X26,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X26),
inference(variable_rename,[status(thm)],[c_0_910]) ).
fof(c_0_1473,plain,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(X4,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_911]) ).
fof(c_0_1474,plain,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X5,tc_bool)),X4,tc_fun(X5,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_912]) ).
fof(c_0_1475,plain,
! [X26,X27,X28] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X27),X28)),c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_913]) ).
fof(c_0_1476,plain,
! [X74,X75,X76,X77,X78,X79] :
( c_Event_Oevent_OSays(X79,X77,X75) != c_Event_Oevent_OSays(X78,X76,X74)
| X75 = X74 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_914])])]) ).
fof(c_0_1477,plain,
! [X74,X75,X76,X77,X78,X79] :
( c_Event_Oevent_OSays(X79,X77,X75) != c_Event_Oevent_OSays(X78,X76,X74)
| X77 = X76 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_915])])]) ).
fof(c_0_1478,plain,
! [X74,X75,X76,X77,X78,X79] :
( c_Event_Oevent_OSays(X79,X77,X75) != c_Event_Oevent_OSays(X78,X76,X74)
| X79 = X78 ),
inference(variable_rename,[status(thm)],[c_0_916]) ).
fof(c_0_1479,plain,
! [X69,X70,X71,X72,X73] :
( c_List_Olist_OCons(X72,X70,X73) != c_List_Olist_OCons(X71,X69,X73)
| X70 = X69 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_917])])]) ).
fof(c_0_1480,plain,
! [X69,X70,X71,X72,X73] :
( c_List_Olist_OCons(X72,X70,X73) != c_List_Olist_OCons(X71,X69,X73)
| X72 = X71 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_918])])]) ).
fof(c_0_1481,plain,
! [X31,X32,X33,X34] :
( c_List_Oappend(X32,X33,X34) != c_List_Oappend(X31,X33,X34)
| X32 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_919])])]) ).
fof(c_0_1482,plain,
! [X31,X32,X33,X34] :
( c_List_Oappend(X33,X32,X34) != c_List_Oappend(X33,X31,X34)
| X32 = X31 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_920])])]) ).
fof(c_0_1483,plain,
! [X8,X9] :
( c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg)
| ~ c_in(X8,c_Message_Oanalz(c_Message_Oanalz(X9)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_921]) ).
fof(c_0_1484,plain,
! [X8,X9] :
( c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg)
| ~ c_in(X8,c_Message_Oparts(c_Message_Oparts(X9)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_922]) ).
fof(c_0_1485,plain,
! [X26,X27,X28] :
( c_in(X27,c_Event_Oused(X26),tc_Message_Omsg)
| ~ c_in(X27,c_Message_Oparts(c_Event_OinitState(X28)),tc_Message_Omsg) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_923])])]) ).
fof(c_0_1486,plain,
! [X8,X9] :
( c_in(X8,c_Message_Osynth(X9),tc_Message_Omsg)
| ~ c_in(X8,c_Message_Osynth(c_Message_Osynth(X9)),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_924]) ).
fof(c_0_1487,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Olattice(X26)
| c_lessequals(X25,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_925]) ).
fof(c_0_1488,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Olattice(X26)
| c_lessequals(X24,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_926]) ).
fof(c_0_1489,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_lessequals(X24,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_927]) ).
fof(c_0_1490,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_lessequals(X25,c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_928]) ).
fof(c_0_1491,plain,
! [X26,X27,X28] : c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X28,X27),X26,tc_Event_Oevent)) = c_Event_Oused(X26),
inference(variable_rename,[status(thm)],[c_0_929]) ).
fof(c_0_1492,plain,
! [X30,X31,X32] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X31,X30),X32,tc_Message_Omsg)) = c_Message_OkeysFor(X32),
inference(variable_rename,[status(thm)],[c_0_930]) ).
fof(c_0_1493,plain,
! [X43,X44] :
( c_in(c_Message_Omsg_ONonce(X43),X44,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X43),c_Message_Osynth(X44),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_931]) ).
fof(c_0_1494,plain,
! [X45,X46] :
( c_in(c_Message_Omsg_ONonce(X45),X46,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X45),c_Message_Osynth(X46),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_932]) ).
fof(c_0_1495,plain,
! [X16,X17,X18] : c_in(X16,c_Set_Oinsert(X16,X17,X18),X18),
inference(variable_rename,[status(thm)],[c_0_933]) ).
fof(c_0_1496,plain,
! [X13,X14,X15] : c_in(X13,c_Set_Oinsert(X13,X14,X15),X15),
inference(variable_rename,[status(thm)],[c_0_934]) ).
fof(c_0_1497,plain,
! [X16,X17,X18] : c_in(X16,c_Set_Oinsert(X16,X17,X18),X18),
inference(variable_rename,[status(thm)],[c_0_935]) ).
fof(c_0_1498,plain,
! [X43,X44] :
( c_in(c_Message_Omsg_ONonce(X43),c_Message_Osynth(X44),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X43),X44,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_936]) ).
fof(c_0_1499,plain,
! [X26,X27,X28] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X27),X28)),c_Event_Oused(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_937]) ).
fof(c_0_1500,plain,
! [X25,X26,X27] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X25),X27)),c_Event_OinitState(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_938]) ).
fof(c_0_1501,plain,
! [X17,X18] : c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X17),X18,tc_Message_Omsg)) = c_Message_OkeysFor(X18),
inference(variable_rename,[status(thm)],[c_0_939]) ).
fof(c_0_1502,plain,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),X4,tc_fun(X5,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_940]) ).
fof(c_0_1503,plain,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_941]) ).
fof(c_0_1504,plain,
! [X4,X5,X6] : c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X6,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X6,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_942]) ).
fof(c_0_1505,plain,
! [X17,X18,X19] : ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Message_Oparts(c_Event_OinitState(X19)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_943]) ).
fof(c_0_1506,plain,
! [X8,X9] :
( c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg)
| ~ c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_944]) ).
fof(c_0_1507,plain,
! [X28,X29] :
( c_in(X28,c_Message_Oparts(X29),tc_Message_Omsg)
| ~ c_in(X28,c_Message_Oanalz(X29),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_945]) ).
fof(c_0_1508,plain,
! [X28,X29] :
( ~ c_in(X28,c_Message_Oanalz(X29),tc_Message_Omsg)
| c_in(X28,c_Message_Oparts(X29),tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_946]) ).
fof(c_0_1509,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) != X24
| c_lessequals(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_947]) ).
fof(c_0_1510,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) = X25
| ~ c_lessequals(X24,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_948]) ).
fof(c_0_1511,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) = X24
| ~ c_lessequals(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_949]) ).
fof(c_0_1512,plain,
! [X26,X27] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Event_Oknows(X27,X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_950]) ).
fof(c_0_1513,plain,
! [X17,X18] : ~ c_in(c_Message_Omsg_OCrypt(X18,X17),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_951]) ).
fof(c_0_1514,plain,
! [X8,X9] :
( c_in(X8,c_Message_Oanalz(X9),tc_Message_Omsg)
| ~ c_in(X8,X9,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_952]) ).
fof(c_0_1515,plain,
! [X8,X9] :
( c_in(X8,c_Message_Oparts(X9),tc_Message_Omsg)
| ~ c_in(X8,X9,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_953]) ).
fof(c_0_1516,plain,
! [X8,X9] :
( c_in(X8,c_Message_Osynth(X9),tc_Message_Omsg)
| ~ c_in(X8,X9,tc_Message_Omsg) ),
inference(variable_rename,[status(thm)],[c_0_954]) ).
fof(c_0_1517,plain,
! [X17] :
( c_in(X17,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X17),c_Message_OsymKeys,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_955]) ).
fof(c_0_1518,plain,
! [X13,X14,X15] :
( c_Set_Oinsert(X13,X14,X15) = X14
| ~ c_in(X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_956]) ).
fof(c_0_1519,plain,
! [X25,X26] : ~ c_in(hAPP(c_Public_OpublicKey(X25),X26),c_Message_OsymKeys,tc_nat),
inference(variable_rename,[status(thm)],[c_0_957]) ).
fof(c_0_1520,plain,
! [X17] :
( c_in(c_Message_OinvKey(X17),c_Message_OsymKeys,tc_nat)
| ~ c_in(X17,c_Message_OsymKeys,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_958]) ).
fof(c_0_1521,plain,
! [X16,X17] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X16)),
inference(variable_rename,[status(thm)],[c_0_959]) ).
fof(c_0_1522,plain,
! [X26] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X26)),c_Event_Oused(X26),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_960]) ).
fof(c_0_1523,plain,
! [X4,X5] : c_lessequals(X4,c_Orderings_Otop__class_Otop(tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_961]) ).
fof(c_0_1524,plain,
! [X26,X27] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Event_Oused(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_962]) ).
fof(c_0_1525,plain,
! [X26,X27] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X27)),c_Event_Oused(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_963]) ).
fof(c_0_1526,plain,
! [X3] : c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Event_OinitState(X3),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_964]) ).
fof(c_0_1527,plain,
! [X43,X44] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X43),X44,tc_Message_Omsg)) = c_Message_OkeysFor(X44),
inference(variable_rename,[status(thm)],[c_0_965]) ).
fof(c_0_1528,plain,
! [X8,X9] : c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X9),X8,tc_Message_Omsg)) = c_Message_OkeysFor(X8),
inference(variable_rename,[status(thm)],[c_0_966]) ).
fof(c_0_1529,plain,
! [X26] : ~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X26)),c_Event_Oused(X26),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_967]) ).
fof(c_0_1530,plain,
! [X43,X44] : ~ c_in(c_Message_Omsg_ONonce(X43),c_Message_Oparts(c_Event_OinitState(X44)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_968]) ).
fof(c_0_1531,plain,
! [X4,X5,X6] :
( c_HOL_Ouminus__class_Ouminus(X5,tc_fun(X6,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X6,tc_bool))
| X5 = X4 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_969])])]) ).
fof(c_0_1532,plain,
! [X24,X25,X26] :
( ~ class_Orderings_Olinorder(X26)
| c_lessequals(X24,X25,X26)
| c_lessequals(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[c_0_970]) ).
fof(c_0_1533,plain,
! [X61,X62,X63] :
( hBOOL(hAPP(X62,X61))
| ~ c_in(X61,X62,X63) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_971])])]) ).
fof(c_0_1534,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Olattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) = c_Lattices_Oupper__semilattice__class_Osup(X24,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_972]) ).
fof(c_0_1535,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oupper__semilattice(X26)
| c_Lattices_Oupper__semilattice__class_Osup(X25,X24,X26) = c_Lattices_Oupper__semilattice__class_Osup(X24,X25,X26) ),
inference(variable_rename,[status(thm)],[c_0_973]) ).
fof(c_0_1536,plain,
! [X43] : ~ c_in(c_Message_Omsg_ONonce(X43),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_974]) ).
fof(c_0_1537,plain,
! [X4,X5] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)) = X4,
inference(variable_rename,[status(thm)],[c_0_975]) ).
fof(c_0_1538,plain,
! [X53,X54,X55,X56,X57] : c_Event_Oevent_OSays(X57,X56,X54) != c_Event_Oevent_ONotes(X55,X53),
inference(variable_rename,[status(thm)],[c_0_976]) ).
fof(c_0_1539,plain,
! [X53,X54,X55,X56,X57] : c_Event_Oevent_ONotes(X55,X53) != c_Event_Oevent_OSays(X57,X56,X54),
inference(variable_rename,[status(thm)],[c_0_977]) ).
fof(c_0_1540,plain,
! [X53,X54,X55,X56,X57] : c_Event_Oevent_OGets(X55,X53) != c_Event_Oevent_OSays(X57,X56,X54),
inference(variable_rename,[status(thm)],[c_0_978]) ).
fof(c_0_1541,plain,
! [X53,X54,X55,X56,X57] : c_Event_Oevent_OSays(X57,X56,X54) != c_Event_Oevent_OGets(X55,X53),
inference(variable_rename,[status(thm)],[c_0_979]) ).
fof(c_0_1542,plain,
! [X16,X17] : c_in(X16,c_Orderings_Otop__class_Otop(tc_fun(X17,tc_bool)),X17),
inference(variable_rename,[status(thm)],[c_0_980]) ).
fof(c_0_1543,plain,
! [X26,X27] : c_lessequals(c_Event_OinitState(X27),c_Event_Oknows(X27,X26),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_981]) ).
fof(c_0_1544,plain,
! [X61,X62,X63] :
( c_in(X61,X62,X63)
| ~ hBOOL(hAPP(X62,X61)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_982])])]) ).
fof(c_0_1545,plain,
! [X33,X34,X35,X36] : hAPP(c_Public_OpublicKey(X33),X35) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X34),X36)),
inference(variable_rename,[status(thm)],[c_0_983]) ).
fof(c_0_1546,plain,
! [X33,X34,X35,X36] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X34),X36)) != hAPP(c_Public_OpublicKey(X33),X35),
inference(variable_rename,[status(thm)],[c_0_984]) ).
fof(c_0_1547,plain,
! [X6,X7,X8] :
( c_List_Olist_ONil(X8) != c_List_Oappend(X7,X6,X8)
| X7 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_985]) ).
fof(c_0_1548,plain,
! [X6,X7,X8] :
( c_List_Olist_ONil(X8) != c_List_Oappend(X7,X6,X8)
| X6 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_986]) ).
fof(c_0_1549,plain,
! [X6,X7,X8] :
( c_List_Oappend(X7,X6,X8) != c_List_Olist_ONil(X8)
| X7 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_987]) ).
fof(c_0_1550,plain,
! [X6,X7,X8] :
( c_List_Oappend(X7,X6,X8) != c_List_Olist_ONil(X8)
| X6 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_988]) ).
fof(c_0_1551,plain,
! [X8] : c_Message_Oanalz(c_Message_Osynth(X8)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X8),c_Message_Osynth(X8),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_989]) ).
fof(c_0_1552,plain,
! [X8] : c_Message_Oparts(c_Message_Osynth(X8)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X8),c_Message_Osynth(X8),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_990]) ).
fof(c_0_1553,plain,
! [X4,X5] : c_in(c_List_Olist_ONil(X5),c_List_Olists(X4,X5),tc_List_Olist(X5)),
inference(variable_rename,[status(thm)],[c_0_991]) ).
fof(c_0_1554,plain,
! [X26] : c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X26),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_992]) ).
fof(c_0_1555,plain,
! [X6,X7,X8] :
( X6 != c_List_Oappend(X7,X6,X8)
| X7 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_993]) ).
fof(c_0_1556,plain,
! [X6,X7,X8] :
( c_List_Oappend(X7,X6,X8) != X6
| X7 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_994]) ).
fof(c_0_1557,plain,
! [X6,X7,X8] :
( X7 != c_List_Oappend(X7,X6,X8)
| X6 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_995]) ).
fof(c_0_1558,plain,
! [X6,X7,X8] :
( c_List_Oappend(X7,X6,X8) != X7
| X6 = c_List_Olist_ONil(X8) ),
inference(variable_rename,[status(thm)],[c_0_996]) ).
fof(c_0_1559,plain,
! [X10,X11,X12] : c_List_Olist_OCons(X11,X10,X12) != c_List_Olist_ONil(X12),
inference(variable_rename,[status(thm)],[c_0_997]) ).
fof(c_0_1560,plain,
! [X48,X49,X50] : c_List_Olist_OCons(X49,X48,X50) != c_List_Olist_ONil(X50),
inference(variable_rename,[status(thm)],[c_0_998]) ).
fof(c_0_1561,plain,
! [X10,X11,X12] : c_List_Olist_ONil(X12) != c_List_Olist_OCons(X11,X10,X12),
inference(variable_rename,[status(thm)],[c_0_999]) ).
fof(c_0_1562,plain,
! [X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,c_HOL_Ouminus__class_Ouminus(X16,X17),X17) = c_Orderings_Otop__class_Otop(X17) ),
inference(variable_rename,[status(thm)],[c_0_1000]) ).
fof(c_0_1563,plain,
! [X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X16,X17),X16,X17) = c_Orderings_Otop__class_Otop(X17) ),
inference(variable_rename,[status(thm)],[c_0_1001]) ).
fof(c_0_1564,plain,
! [X30,X31,X32] :
( X31 = X30
| ~ c_fequal(X31,X30,X32) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1002])])]) ).
fof(c_0_1565,plain,
! [X50,X51,X52] : c_List_Olist_OCons(X50,X51,X52) != X51,
inference(variable_rename,[status(thm)],[c_0_1003]) ).
fof(c_0_1566,plain,
! [X16,X17,X18] : X16 != c_List_Olist_OCons(X17,X16,X18),
inference(variable_rename,[status(thm)],[c_0_1004]) ).
fof(c_0_1567,plain,
! [X8] : c_lessequals(c_Message_Oanalz(X8),c_Message_Oparts(X8),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1005]) ).
fof(c_0_1568,plain,
! [X17] :
( c_Message_OinvKey(X17) = X17
| ~ c_in(X17,c_Message_OsymKeys,tc_nat) ),
inference(variable_rename,[status(thm)],[c_0_1006]) ).
fof(c_0_1569,plain,
! [X25,X26,X27] : c_Message_OinvKey(hAPP(c_Public_OpublicKey(X25),X26)) != hAPP(c_Public_OshrK,X27),
inference(variable_rename,[status(thm)],[c_0_1007]) ).
fof(c_0_1570,plain,
! [X25,X26,X27] : hAPP(c_Public_OshrK,X27) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X25),X26)),
inference(variable_rename,[status(thm)],[c_0_1008]) ).
fof(c_0_1571,plain,
! [X8] : c_lessequals(X8,c_Message_Oanalz(X8),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1009]) ).
fof(c_0_1572,plain,
! [X8] : c_lessequals(X8,c_Message_Oparts(X8),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1010]) ).
fof(c_0_1573,plain,
! [X8] : c_lessequals(X8,c_Message_Osynth(X8),tc_fun(tc_Message_Omsg,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1011]) ).
fof(c_0_1574,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
c_0_1012 ).
fof(c_0_1575,plain,
! [X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(X4,X4,tc_fun(X5,tc_bool)) = X4,
inference(variable_rename,[status(thm)],[c_0_1013]) ).
fof(c_0_1576,plain,
! [X4,X5] : c_lessequals(X4,X4,tc_fun(X5,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1014]) ).
fof(c_0_1577,plain,
! [X16,X17] : c_lessequals(X16,X16,tc_fun(X17,tc_bool)),
inference(variable_rename,[status(thm)],[c_0_1015]) ).
fof(c_0_1578,plain,
! [X7] : c_in(hAPP(c_Public_OshrK,X7),c_Message_OsymKeys,tc_nat),
inference(variable_rename,[status(thm)],[c_0_1016]) ).
fof(c_0_1579,plain,
! [X16,X17] :
( ~ class_Lattices_Obounded__lattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,c_Orderings_Otop__class_Otop(X17),X17) = c_Orderings_Otop__class_Otop(X17) ),
inference(variable_rename,[status(thm)],[c_0_1017]) ).
fof(c_0_1580,plain,
! [X16,X17] :
( ~ class_Lattices_Obounded__lattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X17),X16,X17) = c_Orderings_Otop__class_Otop(X17) ),
inference(variable_rename,[status(thm)],[c_0_1018]) ).
fof(c_0_1581,plain,
! [X4] : c_List_Olist_ONil(X4) = c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_1019]) ).
fof(c_0_1582,plain,
! [X4] : c_List_Oappend(c_List_Olist_ONil(X4),c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_1020]) ).
fof(c_0_1583,plain,
! [X16,X17] :
( ~ class_Orderings_Otop(X17)
| c_lessequals(X16,c_Orderings_Otop__class_Otop(X17),X17) ),
inference(variable_rename,[status(thm)],[c_0_1021]) ).
fof(c_0_1584,plain,
! [X33,X34,X35,X36] :
( hAPP(c_Public_OpublicKey(X34),X36) != hAPP(c_Public_OpublicKey(X33),X35)
| X34 = X33 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1022])])]) ).
fof(c_0_1585,plain,
! [X33,X34,X35,X36] :
( hAPP(c_Public_OpublicKey(X34),X36) != hAPP(c_Public_OpublicKey(X33),X35)
| X36 = X35 ),
inference(variable_rename,[status(thm)],[c_0_1023]) ).
fof(c_0_1586,plain,
! [X44,X45] : c_in(c_Message_Omsg_OAgent(X44),c_Message_Osynth(X45),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_1024]) ).
fof(c_0_1587,plain,
! [X8,X9] : c_in(c_Message_Omsg_OAgent(X9),c_Message_Osynth(X8),tc_Message_Omsg),
inference(variable_rename,[status(thm)],[c_0_1025]) ).
fof(c_0_1588,plain,
! [X27,X28] : c_List_Olist__inter(c_List_Olist_ONil(X28),X27,X28) = c_List_Olist_ONil(X28),
inference(variable_rename,[status(thm)],[c_0_1026]) ).
fof(c_0_1589,plain,
! [X16,X17] :
( ~ class_Lattices_Oupper__semilattice(X17)
| c_Lattices_Oupper__semilattice__class_Osup(X16,X16,X17) = X16 ),
inference(variable_rename,[status(thm)],[c_0_1027]) ).
fof(c_0_1590,plain,
! [X16,X17] :
( ~ class_Orderings_Opreorder(X17)
| c_lessequals(X16,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_1028]) ).
fof(c_0_1591,plain,
! [X16,X17] :
( ~ class_Orderings_Oorder(X17)
| c_lessequals(X16,X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_1029]) ).
fof(c_0_1592,plain,
! [X6,X7] : c_List_Oappend(X6,c_List_Olist_ONil(X7),X7) = X6,
inference(variable_rename,[status(thm)],[c_0_1030]) ).
fof(c_0_1593,plain,
! [X16,X17] : X16 = c_List_Oappend(c_List_Olist_ONil(X17),X16,X17),
inference(variable_rename,[status(thm)],[c_0_1031]) ).
fof(c_0_1594,plain,
! [X6,X7] : X6 = c_List_Oappend(X6,c_List_Olist_ONil(X7),X7),
inference(variable_rename,[status(thm)],[c_0_1032]) ).
fof(c_0_1595,plain,
! [X5,X6] : c_List_Oappend(c_List_Olist_ONil(X6),X5,X6) = X5,
inference(variable_rename,[status(thm)],[c_0_1033]) ).
fof(c_0_1596,plain,
! [X5,X6] : X5 = c_List_Oappend(c_List_Olist_ONil(X6),X5,X6),
inference(variable_rename,[status(thm)],[c_0_1034]) ).
fof(c_0_1597,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
c_0_1035 ).
fof(c_0_1598,plain,
! [X16,X17] : c_fequal(X16,X16,X17),
inference(variable_rename,[status(thm)],[c_0_1036]) ).
fof(c_0_1599,plain,
! [X6,X7] : c_List_Oset(c_List_Oremdups(X6,X7),X7) = c_List_Oset(X6,X7),
inference(variable_rename,[status(thm)],[c_0_1037]) ).
fof(c_0_1600,plain,
! [X24,X25,X26] :
( ~ class_Lattices_Oboolean__algebra(X26)
| c_HOL_Ouminus__class_Ouminus(X25,X26) != c_HOL_Ouminus__class_Ouminus(X24,X26)
| X25 = X24 ),
inference(variable_rename,[status(thm)],[c_0_1038]) ).
fof(c_0_1601,plain,
! [X25,X26,X27] :
( ~ class_OrderedGroup_Ogroup__add(X27)
| c_HOL_Ouminus__class_Ouminus(X26,X27) != c_HOL_Ouminus__class_Ouminus(X25,X27)
| X26 = X25 ),
inference(variable_rename,[status(thm)],[c_0_1039]) ).
fof(c_0_1602,plain,
! [X25,X26,X27] : hAPP(c_Public_OpublicKey(X25),X26) != hAPP(c_Public_OshrK,X27),
inference(variable_rename,[status(thm)],[c_0_1040]) ).
fof(c_0_1603,plain,
! [X25,X26,X27] : hAPP(c_Public_OshrK,X27) != hAPP(c_Public_OpublicKey(X25),X26),
inference(variable_rename,[status(thm)],[c_0_1041]) ).
fof(c_0_1604,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
c_0_1042 ).
fof(c_0_1605,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ogroup__add(X26)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X25,X26),X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_1043]) ).
fof(c_0_1606,plain,
! [X13,X14] :
( ~ class_OrderedGroup_Ogroup__add(X14)
| X13 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X13,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_1044]) ).
fof(c_0_1607,plain,
! [X25,X26] :
( ~ class_OrderedGroup_Ogroup__add(X26)
| X25 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X25,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_1045]) ).
fof(c_0_1608,plain,
! [X16,X17] :
( ~ class_Lattices_Oboolean__algebra(X17)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X16,X17),X17) = X16 ),
inference(variable_rename,[status(thm)],[c_0_1046]) ).
fof(c_0_1609,plain,
! [X13,X14] :
( ~ class_OrderedGroup_Ogroup__add(X14)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X13,X14),X14) = X13 ),
inference(variable_rename,[status(thm)],[c_0_1047]) ).
fof(c_0_1610,plain,
! [X80,X81,X82,X83] :
( c_Message_Omsg_OMPair(X83,X81) != c_Message_Omsg_OMPair(X82,X80)
| X81 = X80 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1048])])]) ).
fof(c_0_1611,plain,
! [X80,X81,X82,X83] :
( c_Message_Omsg_OMPair(X83,X81) != c_Message_Omsg_OMPair(X82,X80)
| X83 = X82 ),
inference(variable_rename,[status(thm)],[c_0_1049]) ).
fof(c_0_1612,plain,
! [X72,X73,X74,X75] :
( c_Message_Omsg_OCrypt(X73,X75) != c_Message_Omsg_OCrypt(X72,X74)
| X75 = X74 ),
inference(variable_rename,[status(thm)],[c_0_1050]) ).
fof(c_0_1613,plain,
! [X72,X73,X74,X75] :
( c_Message_Omsg_OCrypt(X73,X75) != c_Message_Omsg_OCrypt(X72,X74)
| X73 = X72 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1051])])]) ).
fof(c_0_1614,plain,
! [X21,X22,X23,X24] :
( c_Event_Oevent_ONotes(X24,X22) != c_Event_Oevent_ONotes(X23,X21)
| X24 = X23 ),
inference(variable_rename,[status(thm)],[c_0_1052]) ).
fof(c_0_1615,plain,
! [X21,X22,X23,X24] :
( c_Event_Oevent_ONotes(X24,X22) != c_Event_Oevent_ONotes(X23,X21)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1053])])]) ).
fof(c_0_1616,plain,
! [X21,X22,X23,X24] :
( c_Event_Oevent_OGets(X24,X22) != c_Event_Oevent_OGets(X23,X21)
| X22 = X21 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1054])])]) ).
fof(c_0_1617,plain,
! [X21,X22,X23,X24] :
( c_Event_Oevent_OGets(X24,X22) != c_Event_Oevent_OGets(X23,X21)
| X24 = X23 ),
inference(variable_rename,[status(thm)],[c_0_1055]) ).
fof(c_0_1618,plain,
! [X80,X81,X82,X83] : c_Message_Omsg_OCrypt(X80,X81) != c_Message_Omsg_OMPair(X83,X82),
inference(variable_rename,[status(thm)],[c_0_1056]) ).
fof(c_0_1619,plain,
! [X80,X81,X82,X83] : c_Message_Omsg_OMPair(X83,X82) != c_Message_Omsg_OCrypt(X80,X81),
inference(variable_rename,[status(thm)],[c_0_1057]) ).
fof(c_0_1620,plain,
! [X21,X22,X23,X24] : c_Event_Oevent_OGets(X24,X22) != c_Event_Oevent_ONotes(X23,X21),
inference(variable_rename,[status(thm)],[c_0_1058]) ).
fof(c_0_1621,plain,
! [X21,X22,X23,X24] : c_Event_Oevent_ONotes(X23,X21) != c_Event_Oevent_OGets(X24,X22),
inference(variable_rename,[status(thm)],[c_0_1059]) ).
fof(c_0_1622,plain,
! [X72,X73,X74] : hAPP(c_Message_Omsg_OKey,X73) != c_Message_Omsg_OCrypt(X72,X74),
inference(variable_rename,[status(thm)],[c_0_1060]) ).
fof(c_0_1623,plain,
! [X77,X78,X79] : c_Message_Omsg_OMPair(X79,X78) != hAPP(c_Message_Omsg_OKey,X77),
inference(variable_rename,[status(thm)],[c_0_1061]) ).
fof(c_0_1624,plain,
! [X77,X78,X79] : hAPP(c_Message_Omsg_OKey,X77) != c_Message_Omsg_OMPair(X79,X78),
inference(variable_rename,[status(thm)],[c_0_1062]) ).
fof(c_0_1625,plain,
! [X72,X73,X74] : c_Message_Omsg_OCrypt(X72,X74) != hAPP(c_Message_Omsg_OKey,X73),
inference(variable_rename,[status(thm)],[c_0_1063]) ).
fof(c_0_1626,plain,
! [X24,X25] :
( hAPP(c_Public_OshrK,X25) != hAPP(c_Public_OshrK,X24)
| X25 = X24 ),
inference(variable_rename,[status(thm)],[c_0_1064]) ).
fof(c_0_1627,plain,
! [X72,X73] :
( hAPP(c_Message_Omsg_OKey,X73) != hAPP(c_Message_Omsg_OKey,X72)
| X73 = X72 ),
inference(variable_rename,[status(thm)],[c_0_1065]) ).
fof(c_0_1628,plain,
! [X6,X7] : c_List_Odistinct(c_List_Oremdups(X6,X7),X7),
inference(variable_rename,[status(thm)],[c_0_1066]) ).
fof(c_0_1629,plain,
! [X3] : c_Message_OinvKey(hAPP(c_Public_OshrK,X3)) = hAPP(c_Public_OshrK,X3),
inference(variable_rename,[status(thm)],[c_0_1067]) ).
fof(c_0_1630,plain,
! [X6,X7] :
( c_List_Oremdups(X6,X7) != X6
| c_List_Odistinct(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1068]) ).
fof(c_0_1631,plain,
! [X6,X7] :
( c_List_Oremdups(X6,X7) = X6
| ~ c_List_Odistinct(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1069]) ).
fof(c_0_1632,plain,
! [X82,X83] :
( class_HOL_Oord(tc_fun(X82,X83))
| ~ class_HOL_Oord(X83) ),
inference(variable_rename,[status(thm)],[c_0_1070]) ).
fof(c_0_1633,plain,
! [X82,X83] :
( class_Orderings_Otop(tc_fun(X82,X83))
| ~ class_Orderings_Otop(X83) ),
inference(variable_rename,[status(thm)],[c_0_1071]) ).
fof(c_0_1634,plain,
! [X82,X83] :
( class_Orderings_Oorder(tc_fun(X82,X83))
| ~ class_Orderings_Oorder(X83) ),
inference(variable_rename,[status(thm)],[c_0_1072]) ).
fof(c_0_1635,plain,
! [X82,X83] :
( class_Lattices_Olattice(tc_fun(X82,X83))
| ~ class_Lattices_Olattice(X83) ),
inference(variable_rename,[status(thm)],[c_0_1073]) ).
fof(c_0_1636,plain,
! [X82,X83] :
( class_Orderings_Opreorder(tc_fun(X82,X83))
| ~ class_Orderings_Opreorder(X83) ),
inference(variable_rename,[status(thm)],[c_0_1074]) ).
fof(c_0_1637,plain,
! [X82,X83] :
( class_Lattices_Oboolean__algebra(tc_fun(X82,X83))
| ~ class_Lattices_Oboolean__algebra(X83) ),
inference(variable_rename,[status(thm)],[c_0_1075]) ).
fof(c_0_1638,plain,
! [X82,X83] :
( class_Lattices_Obounded__lattice(tc_fun(X82,X83))
| ~ class_Lattices_Obounded__lattice(X83) ),
inference(variable_rename,[status(thm)],[c_0_1076]) ).
fof(c_0_1639,plain,
! [X82,X83] :
( class_Lattices_Oupper__semilattice(tc_fun(X82,X83))
| ~ class_Lattices_Olattice(X83) ),
inference(variable_rename,[status(thm)],[c_0_1077]) ).
fof(c_0_1640,plain,
! [X16,X17] :
( c_List_Olist_ONil(X17) != c_List_Oremdups(X16,X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_1078]) ).
fof(c_0_1641,plain,
! [X16,X17] :
( c_List_Oremdups(X16,X17) != c_List_Olist_ONil(X17)
| X16 = c_List_Olist_ONil(X17) ),
inference(variable_rename,[status(thm)],[c_0_1079]) ).
fof(c_0_1642,plain,
! [X77,X78,X79] : c_Message_Omsg_OMPair(X79,X78) != c_Message_Omsg_ONonce(X77),
inference(variable_rename,[status(thm)],[c_0_1080]) ).
fof(c_0_1643,plain,
! [X72,X73,X74] : c_Message_Omsg_ONonce(X73) != c_Message_Omsg_OCrypt(X72,X74),
inference(variable_rename,[status(thm)],[c_0_1081]) ).
fof(c_0_1644,plain,
! [X71,X72,X73] : c_Message_Omsg_OCrypt(X71,X72) != c_Message_Omsg_OAgent(X73),
inference(variable_rename,[status(thm)],[c_0_1082]) ).
fof(c_0_1645,plain,
! [X77,X78,X79] : c_Message_Omsg_ONonce(X77) != c_Message_Omsg_OMPair(X79,X78),
inference(variable_rename,[status(thm)],[c_0_1083]) ).
fof(c_0_1646,plain,
! [X71,X72,X73] : c_Message_Omsg_OAgent(X73) != c_Message_Omsg_OCrypt(X71,X72),
inference(variable_rename,[status(thm)],[c_0_1084]) ).
fof(c_0_1647,plain,
! [X77,X78,X79] : c_Message_Omsg_OAgent(X79) != c_Message_Omsg_OMPair(X78,X77),
inference(variable_rename,[status(thm)],[c_0_1085]) ).
fof(c_0_1648,plain,
! [X77,X78,X79] : c_Message_Omsg_OMPair(X78,X77) != c_Message_Omsg_OAgent(X79),
inference(variable_rename,[status(thm)],[c_0_1086]) ).
fof(c_0_1649,plain,
! [X72,X73,X74] : c_Message_Omsg_OCrypt(X72,X74) != c_Message_Omsg_ONonce(X73),
inference(variable_rename,[status(thm)],[c_0_1087]) ).
fof(c_0_1650,plain,
! [X71,X72] : hAPP(c_Message_Omsg_OKey,X71) != c_Message_Omsg_OAgent(X72),
inference(variable_rename,[status(thm)],[c_0_1088]) ).
fof(c_0_1651,plain,
! [X72,X73] : c_Message_Omsg_ONonce(X73) != hAPP(c_Message_Omsg_OKey,X72),
inference(variable_rename,[status(thm)],[c_0_1089]) ).
fof(c_0_1652,plain,
! [X72,X73] : hAPP(c_Message_Omsg_OKey,X72) != c_Message_Omsg_ONonce(X73),
inference(variable_rename,[status(thm)],[c_0_1090]) ).
fof(c_0_1653,plain,
! [X71,X72] : c_Message_Omsg_OAgent(X72) != hAPP(c_Message_Omsg_OKey,X71),
inference(variable_rename,[status(thm)],[c_0_1091]) ).
fof(c_0_1654,plain,
! [X4] : c_List_Oremdups(c_List_Olist_ONil(X4),X4) = c_List_Olist_ONil(X4),
inference(variable_rename,[status(thm)],[c_0_1092]) ).
fof(c_0_1655,plain,
! [X4] : c_List_Olist_ONil(X4) = c_List_Oremdups(c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_1093]) ).
fof(c_0_1656,plain,
! [X3] : c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X3),
inference(variable_rename,[status(thm)],[c_0_1094]) ).
fof(c_0_1657,plain,
! [X4] : c_List_Odistinct(c_List_Olist_ONil(X4),X4),
inference(variable_rename,[status(thm)],[c_0_1095]) ).
fof(c_0_1658,plain,
! [X72,X73] :
( c_Message_Omsg_ONonce(X73) != c_Message_Omsg_ONonce(X72)
| X73 = X72 ),
inference(variable_rename,[status(thm)],[c_0_1096]) ).
fof(c_0_1659,plain,
! [X21,X22] :
( c_Message_Omsg_OAgent(X22) != c_Message_Omsg_OAgent(X21)
| X22 = X21 ),
inference(variable_rename,[status(thm)],[c_0_1097]) ).
fof(c_0_1660,plain,
! [X32,X33] :
( c_Message_OinvKey(X33) != c_Message_OinvKey(X32)
| X33 = X32 ),
inference(variable_rename,[status(thm)],[c_0_1098]) ).
fof(c_0_1661,plain,
! [X8] : c_Message_Oanalz(c_Message_Oparts(X8)) = c_Message_Oparts(X8),
inference(variable_rename,[status(thm)],[c_0_1099]) ).
fof(c_0_1662,plain,
! [X8] : c_Message_Oparts(c_Message_Oparts(X8)) = c_Message_Oparts(X8),
inference(variable_rename,[status(thm)],[c_0_1100]) ).
fof(c_0_1663,plain,
! [X8] : c_Message_Oanalz(c_Message_Oanalz(X8)) = c_Message_Oanalz(X8),
inference(variable_rename,[status(thm)],[c_0_1101]) ).
fof(c_0_1664,plain,
! [X8] : c_Message_Oparts(c_Message_Oanalz(X8)) = c_Message_Oparts(X8),
inference(variable_rename,[status(thm)],[c_0_1102]) ).
fof(c_0_1665,plain,
! [X8] : c_Message_Osynth(c_Message_Osynth(X8)) = c_Message_Osynth(X8),
inference(variable_rename,[status(thm)],[c_0_1103]) ).
fof(c_0_1666,plain,
! [X71,X72] : c_Message_Omsg_OAgent(X72) != c_Message_Omsg_ONonce(X71),
inference(variable_rename,[status(thm)],[c_0_1104]) ).
fof(c_0_1667,plain,
! [X71,X72] : c_Message_Omsg_ONonce(X71) != c_Message_Omsg_OAgent(X72),
inference(variable_rename,[status(thm)],[c_0_1105]) ).
fof(c_0_1668,plain,
! [X17] : c_Message_OinvKey(c_Message_OinvKey(X17)) = X17,
inference(variable_rename,[status(thm)],[c_0_1106]) ).
fof(c_0_1669,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
c_0_1107 ).
fof(c_0_1670,axiom,
class_HOL_Oord(tc_bool),
c_0_1108 ).
fof(c_0_1671,axiom,
class_Orderings_Otop(tc_bool),
c_0_1109 ).
fof(c_0_1672,axiom,
class_Orderings_Oorder(tc_bool),
c_0_1110 ).
fof(c_0_1673,axiom,
class_Lattices_Olattice(tc_bool),
c_0_1111 ).
fof(c_0_1674,axiom,
class_Orderings_Opreorder(tc_bool),
c_0_1112 ).
fof(c_0_1675,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
c_0_1113 ).
fof(c_0_1676,axiom,
class_Lattices_Obounded__lattice(tc_bool),
c_0_1114 ).
fof(c_0_1677,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
c_0_1115 ).
fof(c_0_1678,axiom,
class_HOL_Oord(tc_nat),
c_0_1116 ).
fof(c_0_1679,axiom,
class_Orderings_Oorder(tc_nat),
c_0_1117 ).
fof(c_0_1680,axiom,
class_Lattices_Olattice(tc_nat),
c_0_1118 ).
fof(c_0_1681,axiom,
class_Orderings_Olinorder(tc_nat),
c_0_1119 ).
fof(c_0_1682,axiom,
class_Orderings_Opreorder(tc_nat),
c_0_1120 ).
fof(c_0_1683,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
c_0_1121 ).
fof(c_0_1684,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
c_0_1122 ).
fof(c_0_1685,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_1123 ).
cnf(c_0_1686,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1124]) ).
cnf(c_0_1687,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1125]) ).
cnf(c_0_1688,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1126]) ).
cnf(c_0_1689,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1127]) ).
cnf(c_0_1690,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1128]) ).
cnf(c_0_1691,plain,
( c_in(X3,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1129]) ).
cnf(c_0_1692,plain,
( X5 = X10
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1130]) ).
cnf(c_0_1693,plain,
( X3 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1131]) ).
cnf(c_0_1694,plain,
( X2 = X8
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1132]) ).
cnf(c_0_1695,plain,
( X1 = X7
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1133]) ).
cnf(c_0_1696,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1134]) ).
cnf(c_0_1697,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1135]) ).
cnf(c_0_1698,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1136]) ).
cnf(c_0_1699,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X3,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1137]) ).
cnf(c_0_1700,plain,
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1138]) ).
cnf(c_0_1701,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1139]) ).
cnf(c_0_1702,plain,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1140]) ).
cnf(c_0_1703,plain,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1141]) ).
cnf(c_0_1704,plain,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1142]) ).
cnf(c_0_1705,plain,
( X2 = c_Message_Oagent_OServer
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1143]) ).
cnf(c_0_1706,plain,
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1144]) ).
cnf(c_0_1707,plain,
( X2 = c_Message_Oagent_OServer
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1145]) ).
cnf(c_0_1708,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1146]) ).
cnf(c_0_1709,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1147]) ).
cnf(c_0_1710,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1148]) ).
cnf(c_0_1711,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1149]) ).
cnf(c_0_1712,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1150]) ).
cnf(c_0_1713,plain,
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1151]) ).
cnf(c_0_1714,plain,
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1152]) ).
cnf(c_0_1715,plain,
( X2 = hAPP(c_Public_OshrK,X1)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1153]) ).
cnf(c_0_1716,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1154]) ).
cnf(c_0_1717,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X3,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1155]) ).
cnf(c_0_1718,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1156]) ).
cnf(c_0_1719,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1157]) ).
cnf(c_0_1720,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1158]) ).
cnf(c_0_1721,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1159]) ).
cnf(c_0_1722,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1160]) ).
cnf(c_0_1723,plain,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1161]) ).
cnf(c_0_1724,plain,
( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1162]) ).
cnf(c_0_1725,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1163]) ).
cnf(c_0_1726,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1164]) ).
cnf(c_0_1727,plain,
( c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1165]) ).
cnf(c_0_1728,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1166]) ).
cnf(c_0_1729,plain,
( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1167]) ).
cnf(c_0_1730,plain,
( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1168]) ).
cnf(c_0_1731,plain,
( c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1169]) ).
cnf(c_0_1732,plain,
( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| X3 = X2
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1170]) ).
cnf(c_0_1733,plain,
( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1171]) ).
cnf(c_0_1734,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1172]) ).
cnf(c_0_1735,plain,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X4,X3))
| ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1173]) ).
cnf(c_0_1736,plain,
c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1174]) ).
cnf(c_0_1737,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1175]) ).
cnf(c_0_1738,plain,
( c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1176]) ).
cnf(c_0_1739,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1177]) ).
cnf(c_0_1740,plain,
( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1178]) ).
cnf(c_0_1741,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1179]) ).
cnf(c_0_1742,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1180]) ).
cnf(c_0_1743,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1181]) ).
cnf(c_0_1744,plain,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1182]) ).
cnf(c_0_1745,plain,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1183]) ).
cnf(c_0_1746,plain,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(X4,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1184]) ).
cnf(c_0_1747,plain,
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1185]) ).
cnf(c_0_1748,plain,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1186]) ).
cnf(c_0_1749,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1187]) ).
cnf(c_0_1750,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1188]) ).
cnf(c_0_1751,plain,
( c_in(hAPP(X1,X6),X5,X4)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1189]) ).
cnf(c_0_1752,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(split_conjunct,[status(thm)],[c_0_1190]) ).
cnf(c_0_1753,plain,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1191]) ).
cnf(c_0_1754,plain,
( c_in(X2,X4,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1192]) ).
cnf(c_0_1755,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1193]) ).
cnf(c_0_1756,plain,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1194]) ).
cnf(c_0_1757,plain,
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1195]) ).
cnf(c_0_1758,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1196]) ).
cnf(c_0_1759,plain,
( c_in(X1,X2,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1197]) ).
cnf(c_0_1760,plain,
( c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1198]) ).
cnf(c_0_1761,plain,
( X1 = X3
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1199]) ).
cnf(c_0_1762,plain,
c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1200]) ).
cnf(c_0_1763,plain,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
inference(split_conjunct,[status(thm)],[c_0_1201]) ).
cnf(c_0_1764,plain,
( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1202]) ).
cnf(c_0_1765,plain,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1203]) ).
cnf(c_0_1766,plain,
~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1204]) ).
cnf(c_0_1767,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1205]) ).
cnf(c_0_1768,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1206]) ).
cnf(c_0_1769,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1207]) ).
cnf(c_0_1770,plain,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1208]) ).
cnf(c_0_1771,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1209]) ).
cnf(c_0_1772,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1210]) ).
cnf(c_0_1773,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1211]) ).
cnf(c_0_1774,plain,
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1212]) ).
cnf(c_0_1775,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1213]) ).
cnf(c_0_1776,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1214]) ).
cnf(c_0_1777,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_1215]) ).
cnf(c_0_1778,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1216]) ).
cnf(c_0_1779,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1217]) ).
cnf(c_0_1780,plain,
( X2 = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1218]) ).
cnf(c_0_1781,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1219]) ).
cnf(c_0_1782,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1220]) ).
cnf(c_0_1783,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1221]) ).
cnf(c_0_1784,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1222]) ).
cnf(c_0_1785,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1223]) ).
cnf(c_0_1786,plain,
c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1224]) ).
cnf(c_0_1787,plain,
c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1225]) ).
cnf(c_0_1788,plain,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1226]) ).
cnf(c_0_1789,plain,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1227]) ).
cnf(c_0_1790,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1228]) ).
cnf(c_0_1791,plain,
( c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,X2,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1229]) ).
cnf(c_0_1792,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1230]) ).
cnf(c_0_1793,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1231]) ).
cnf(c_0_1794,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1232]) ).
cnf(c_0_1795,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1233]) ).
cnf(c_0_1796,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1234]) ).
cnf(c_0_1797,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1235]) ).
cnf(c_0_1798,plain,
( c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,X2,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1236]) ).
cnf(c_0_1799,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1237]) ).
cnf(c_0_1800,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1238]) ).
cnf(c_0_1801,plain,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1239]) ).
cnf(c_0_1802,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1240]) ).
cnf(c_0_1803,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1241]) ).
cnf(c_0_1804,plain,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1242]) ).
cnf(c_0_1805,plain,
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1243]) ).
cnf(c_0_1806,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1244]) ).
cnf(c_0_1807,plain,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1245]) ).
cnf(c_0_1808,plain,
( hBOOL(hAPP(X1,X4))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1246]) ).
cnf(c_0_1809,plain,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1247]) ).
cnf(c_0_1810,plain,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1248]) ).
cnf(c_0_1811,plain,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1249]) ).
cnf(c_0_1812,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1250]) ).
cnf(c_0_1813,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1251]) ).
cnf(c_0_1814,plain,
( X1 = X2
| c_in(X1,c_List_Oset(X3,X4),X4)
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1252]) ).
cnf(c_0_1815,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1253]) ).
cnf(c_0_1816,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1254]) ).
cnf(c_0_1817,plain,
c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1255]) ).
cnf(c_0_1818,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1256]) ).
cnf(c_0_1819,plain,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1257]) ).
cnf(c_0_1820,plain,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1258]) ).
cnf(c_0_1821,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1259]) ).
cnf(c_0_1822,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1260]) ).
cnf(c_0_1823,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1261]) ).
cnf(c_0_1824,plain,
( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1262]) ).
cnf(c_0_1825,plain,
( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1263]) ).
cnf(c_0_1826,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1264]) ).
cnf(c_0_1827,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1265]) ).
cnf(c_0_1828,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OMPair(X3,X4),X5,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X3,X4),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X5,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1266]) ).
cnf(c_0_1829,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1267]) ).
cnf(c_0_1830,plain,
( c_in(c_List_Oappend(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1268]) ).
cnf(c_0_1831,plain,
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1269]) ).
cnf(c_0_1832,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1270]) ).
cnf(c_0_1833,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X3),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1271]) ).
cnf(c_0_1834,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1272]) ).
cnf(c_0_1835,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1273]) ).
cnf(c_0_1836,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1274]) ).
cnf(c_0_1837,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1275]) ).
cnf(c_0_1838,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(split_conjunct,[status(thm)],[c_0_1276]) ).
cnf(c_0_1839,plain,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1277]) ).
cnf(c_0_1840,plain,
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1278]) ).
cnf(c_0_1841,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1279]) ).
cnf(c_0_1842,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1280]) ).
cnf(c_0_1843,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1281]) ).
cnf(c_0_1844,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1282]) ).
cnf(c_0_1845,plain,
( c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1283]) ).
cnf(c_0_1846,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1284]) ).
cnf(c_0_1847,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1285]) ).
cnf(c_0_1848,plain,
( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1286]) ).
cnf(c_0_1849,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1287]) ).
cnf(c_0_1850,plain,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1288]) ).
cnf(c_0_1851,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1289]) ).
cnf(c_0_1852,plain,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1290]) ).
cnf(c_0_1853,plain,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1291]) ).
cnf(c_0_1854,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1292]) ).
cnf(c_0_1855,plain,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1293]) ).
cnf(c_0_1856,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_ONonce(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1294]) ).
cnf(c_0_1857,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OAgent(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1295]) ).
cnf(c_0_1858,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1296]) ).
cnf(c_0_1859,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1297]) ).
cnf(c_0_1860,plain,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1298]) ).
cnf(c_0_1861,plain,
c_lessequals(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1299]) ).
cnf(c_0_1862,plain,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1300]) ).
cnf(c_0_1863,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1301]) ).
cnf(c_0_1864,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1302]) ).
cnf(c_0_1865,plain,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1303]) ).
cnf(c_0_1866,plain,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1304]) ).
cnf(c_0_1867,plain,
( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1305]) ).
cnf(c_0_1868,plain,
( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1306]) ).
cnf(c_0_1869,plain,
( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_1307]) ).
cnf(c_0_1870,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3),
inference(split_conjunct,[status(thm)],[c_0_1308]) ).
cnf(c_0_1871,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4),
inference(split_conjunct,[status(thm)],[c_0_1309]) ).
cnf(c_0_1872,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1310]) ).
cnf(c_0_1873,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1311]) ).
cnf(c_0_1874,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1312]) ).
cnf(c_0_1875,plain,
( c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1313]) ).
cnf(c_0_1876,plain,
( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1314]) ).
cnf(c_0_1877,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1315]) ).
cnf(c_0_1878,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1316]) ).
cnf(c_0_1879,plain,
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1317]) ).
cnf(c_0_1880,plain,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1318]) ).
cnf(c_0_1881,plain,
( c_in(X3,c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1319]) ).
cnf(c_0_1882,plain,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1320]) ).
cnf(c_0_1883,plain,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1321]) ).
cnf(c_0_1884,plain,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1322]) ).
cnf(c_0_1885,plain,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1323]) ).
cnf(c_0_1886,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1324]) ).
cnf(c_0_1887,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1325]) ).
cnf(c_0_1888,plain,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1326]) ).
cnf(c_0_1889,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1327]) ).
cnf(c_0_1890,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1328]) ).
cnf(c_0_1891,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1329]) ).
cnf(c_0_1892,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1330]) ).
cnf(c_0_1893,plain,
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1331]) ).
cnf(c_0_1894,plain,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1332]) ).
cnf(c_0_1895,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1333]) ).
cnf(c_0_1896,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1334]) ).
cnf(c_0_1897,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1335]) ).
cnf(c_0_1898,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1336]) ).
cnf(c_0_1899,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1337]) ).
cnf(c_0_1900,plain,
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
| c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1338]) ).
cnf(c_0_1901,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1339]) ).
cnf(c_0_1902,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1340]) ).
cnf(c_0_1903,plain,
( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1341]) ).
cnf(c_0_1904,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1342]) ).
cnf(c_0_1905,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1343]) ).
cnf(c_0_1906,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1344]) ).
cnf(c_0_1907,plain,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1345]) ).
cnf(c_0_1908,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1346]) ).
cnf(c_0_1909,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1347]) ).
cnf(c_0_1910,plain,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1348]) ).
cnf(c_0_1911,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1349]) ).
cnf(c_0_1912,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
inference(split_conjunct,[status(thm)],[c_0_1350]) ).
cnf(c_0_1913,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1351]) ).
cnf(c_0_1914,plain,
( c_in(X4,X2,X3)
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1352]) ).
cnf(c_0_1915,plain,
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1353]) ).
cnf(c_0_1916,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1354]) ).
cnf(c_0_1917,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1355]) ).
cnf(c_0_1918,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1356]) ).
cnf(c_0_1919,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1357]) ).
cnf(c_0_1920,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1358]) ).
cnf(c_0_1921,plain,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(split_conjunct,[status(thm)],[c_0_1359]) ).
cnf(c_0_1922,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1360]) ).
cnf(c_0_1923,plain,
( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1361]) ).
cnf(c_0_1924,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1362]) ).
cnf(c_0_1925,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1363]) ).
cnf(c_0_1926,plain,
( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1364]) ).
cnf(c_0_1927,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist__inter(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1365]) ).
cnf(c_0_1928,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1366]) ).
cnf(c_0_1929,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1367]) ).
cnf(c_0_1930,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1368]) ).
cnf(c_0_1931,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1369]) ).
cnf(c_0_1932,plain,
( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1370]) ).
cnf(c_0_1933,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1371]) ).
cnf(c_0_1934,plain,
( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1372]) ).
cnf(c_0_1935,plain,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1373]) ).
cnf(c_0_1936,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1374]) ).
cnf(c_0_1937,plain,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1375]) ).
cnf(c_0_1938,plain,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1376]) ).
cnf(c_0_1939,plain,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1377]) ).
cnf(c_0_1940,plain,
( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1378]) ).
cnf(c_0_1941,plain,
( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1379]) ).
cnf(c_0_1942,plain,
( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1380]) ).
cnf(c_0_1943,plain,
( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1381]) ).
cnf(c_0_1944,plain,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1382]) ).
cnf(c_0_1945,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1383]) ).
cnf(c_0_1946,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1384]) ).
cnf(c_0_1947,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1385]) ).
cnf(c_0_1948,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1386]) ).
cnf(c_0_1949,plain,
( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1387]) ).
cnf(c_0_1950,plain,
( c_List_Olength__unique(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olength__unique(X2,X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1388]) ).
cnf(c_0_1951,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1389]) ).
cnf(c_0_1952,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1390]) ).
cnf(c_0_1953,plain,
( X1 = c_Message_Oagent_OSpy
| c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1391]) ).
cnf(c_0_1954,plain,
c_List_Oset(c_List_Oappend(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X1,X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1392]) ).
cnf(c_0_1955,plain,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1393]) ).
cnf(c_0_1956,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1394]) ).
cnf(c_0_1957,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1395]) ).
cnf(c_0_1958,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oused(X3),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1396]) ).
cnf(c_0_1959,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1397]) ).
cnf(c_0_1960,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1398]) ).
cnf(c_0_1961,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1399]) ).
cnf(c_0_1962,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(split_conjunct,[status(thm)],[c_0_1400]) ).
cnf(c_0_1963,plain,
( X1 = c_Message_Oagent_OSpy
| c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1401]) ).
cnf(c_0_1964,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1402]) ).
cnf(c_0_1965,plain,
( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1403]) ).
cnf(c_0_1966,plain,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1404]) ).
cnf(c_0_1967,plain,
c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1405]) ).
cnf(c_0_1968,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1406]) ).
cnf(c_0_1969,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1407]) ).
cnf(c_0_1970,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1408]) ).
cnf(c_0_1971,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1409]) ).
cnf(c_0_1972,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1410]) ).
cnf(c_0_1973,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1411]) ).
cnf(c_0_1974,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))
| c_Message_Oanalz(X2) != c_Message_Oanalz(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1412]) ).
cnf(c_0_1975,plain,
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1413]) ).
cnf(c_0_1976,plain,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(split_conjunct,[status(thm)],[c_0_1414]) ).
cnf(c_0_1977,plain,
( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1415]) ).
cnf(c_0_1978,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1416]) ).
cnf(c_0_1979,plain,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1417]) ).
cnf(c_0_1980,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1418]) ).
cnf(c_0_1981,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1419]) ).
cnf(c_0_1982,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1420]) ).
cnf(c_0_1983,plain,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1421]) ).
cnf(c_0_1984,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1422]) ).
cnf(c_0_1985,plain,
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(split_conjunct,[status(thm)],[c_0_1423]) ).
cnf(c_0_1986,plain,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1424]) ).
cnf(c_0_1987,plain,
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1425]) ).
cnf(c_0_1988,plain,
( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1426]) ).
cnf(c_0_1989,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1427]) ).
cnf(c_0_1990,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1428]) ).
cnf(c_0_1991,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1429]) ).
cnf(c_0_1992,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1430]) ).
cnf(c_0_1993,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1431]) ).
cnf(c_0_1994,plain,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1432]) ).
cnf(c_0_1995,plain,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1433]) ).
cnf(c_0_1996,plain,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1434]) ).
cnf(c_0_1997,plain,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1435]) ).
cnf(c_0_1998,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1436]) ).
cnf(c_0_1999,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1437]) ).
cnf(c_0_2000,plain,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1438]) ).
cnf(c_0_2001,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1439]) ).
cnf(c_0_2002,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1440]) ).
cnf(c_0_2003,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1441]) ).
cnf(c_0_2004,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1442]) ).
cnf(c_0_2005,plain,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1443]) ).
cnf(c_0_2006,plain,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1444]) ).
cnf(c_0_2007,plain,
( c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1445]) ).
cnf(c_0_2008,plain,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1446]) ).
cnf(c_0_2009,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1447]) ).
cnf(c_0_2010,plain,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1448]) ).
cnf(c_0_2011,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
inference(split_conjunct,[status(thm)],[c_0_1449]) ).
cnf(c_0_2012,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1450]) ).
cnf(c_0_2013,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1451]) ).
cnf(c_0_2014,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1452]) ).
cnf(c_0_2015,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_1453]) ).
cnf(c_0_2016,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1454]) ).
cnf(c_0_2017,plain,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1455]) ).
cnf(c_0_2018,plain,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1456]) ).
cnf(c_0_2019,plain,
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1457]) ).
cnf(c_0_2020,plain,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1458]) ).
cnf(c_0_2021,plain,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1459]) ).
cnf(c_0_2022,plain,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1460]) ).
cnf(c_0_2023,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1461]) ).
cnf(c_0_2024,plain,
( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1462]) ).
cnf(c_0_2025,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1463]) ).
cnf(c_0_2026,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1464]) ).
cnf(c_0_2027,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1465]) ).
cnf(c_0_2028,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1466]) ).
cnf(c_0_2029,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1467]) ).
cnf(c_0_2030,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1468]) ).
cnf(c_0_2031,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1469]) ).
cnf(c_0_2032,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1470]) ).
cnf(c_0_2033,plain,
( c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_1471]) ).
cnf(c_0_2034,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
inference(split_conjunct,[status(thm)],[c_0_1472]) ).
cnf(c_0_2035,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1473]) ).
cnf(c_0_2036,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1474]) ).
cnf(c_0_2037,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1475]) ).
cnf(c_0_2038,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1476]) ).
cnf(c_0_2039,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1477]) ).
cnf(c_0_2040,plain,
( X1 = X2
| c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_1478]) ).
cnf(c_0_2041,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1479]) ).
cnf(c_0_2042,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1480]) ).
cnf(c_0_2043,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1481]) ).
cnf(c_0_2044,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1482]) ).
cnf(c_0_2045,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1483]) ).
cnf(c_0_2046,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1484]) ).
cnf(c_0_2047,plain,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1485]) ).
cnf(c_0_2048,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1486]) ).
cnf(c_0_2049,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1487]) ).
cnf(c_0_2050,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1488]) ).
cnf(c_0_2051,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1489]) ).
cnf(c_0_2052,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1490]) ).
cnf(c_0_2053,plain,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
inference(split_conjunct,[status(thm)],[c_0_1491]) ).
cnf(c_0_2054,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
inference(split_conjunct,[status(thm)],[c_0_1492]) ).
cnf(c_0_2055,plain,
( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1493]) ).
cnf(c_0_2056,plain,
( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1494]) ).
cnf(c_0_2057,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1495]) ).
cnf(c_0_2058,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1496]) ).
cnf(c_0_2059,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(split_conjunct,[status(thm)],[c_0_1497]) ).
cnf(c_0_2060,plain,
( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1498]) ).
cnf(c_0_2061,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oused(X3),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1499]) ).
cnf(c_0_2062,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_OinitState(X3),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1500]) ).
cnf(c_0_2063,plain,
c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
inference(split_conjunct,[status(thm)],[c_0_1501]) ).
cnf(c_0_2064,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1502]) ).
cnf(c_0_2065,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1503]) ).
cnf(c_0_2066,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1504]) ).
cnf(c_0_2067,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1505]) ).
cnf(c_0_2068,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1506]) ).
cnf(c_0_2069,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1507]) ).
cnf(c_0_2070,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1508]) ).
cnf(c_0_2071,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1509]) ).
cnf(c_0_2072,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1510]) ).
cnf(c_0_2073,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1511]) ).
cnf(c_0_2074,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1512]) ).
cnf(c_0_2075,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1513]) ).
cnf(c_0_2076,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1514]) ).
cnf(c_0_2077,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1515]) ).
cnf(c_0_2078,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_1516]) ).
cnf(c_0_2079,plain,
( c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1517]) ).
cnf(c_0_2080,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1518]) ).
cnf(c_0_2081,plain,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1519]) ).
cnf(c_0_2082,plain,
( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1520]) ).
cnf(c_0_2083,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_1521]) ).
cnf(c_0_2084,plain,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1522]) ).
cnf(c_0_2085,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1523]) ).
cnf(c_0_2086,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1524]) ).
cnf(c_0_2087,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1525]) ).
cnf(c_0_2088,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_OinitState(X1),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1526]) ).
cnf(c_0_2089,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
inference(split_conjunct,[status(thm)],[c_0_1527]) ).
cnf(c_0_2090,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
inference(split_conjunct,[status(thm)],[c_0_1528]) ).
cnf(c_0_2091,plain,
~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1529]) ).
cnf(c_0_2092,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1530]) ).
cnf(c_0_2093,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
inference(split_conjunct,[status(thm)],[c_0_1531]) ).
cnf(c_0_2094,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1532]) ).
cnf(c_0_2095,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1533]) ).
cnf(c_0_2096,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1534]) ).
cnf(c_0_2097,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1535]) ).
cnf(c_0_2098,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1536]) ).
cnf(c_0_2099,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(split_conjunct,[status(thm)],[c_0_1537]) ).
cnf(c_0_2100,plain,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1538]) ).
cnf(c_0_2101,plain,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1539]) ).
cnf(c_0_2102,plain,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1540]) ).
cnf(c_0_2103,plain,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
inference(split_conjunct,[status(thm)],[c_0_1541]) ).
cnf(c_0_2104,plain,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
inference(split_conjunct,[status(thm)],[c_0_1542]) ).
cnf(c_0_2105,plain,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1543]) ).
cnf(c_0_2106,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_1544]) ).
cnf(c_0_2107,plain,
hAPP(c_Public_OpublicKey(X1),X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X3),X4)),
inference(split_conjunct,[status(thm)],[c_0_1545]) ).
cnf(c_0_2108,plain,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OpublicKey(X3),X4),
inference(split_conjunct,[status(thm)],[c_0_1546]) ).
cnf(c_0_2109,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1547]) ).
cnf(c_0_2110,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1548]) ).
cnf(c_0_2111,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1549]) ).
cnf(c_0_2112,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1550]) ).
cnf(c_0_2113,plain,
c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1551]) ).
cnf(c_0_2114,plain,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1552]) ).
cnf(c_0_2115,plain,
c_in(c_List_Olist_ONil(X1),c_List_Olists(X2,X1),tc_List_Olist(X1)),
inference(split_conjunct,[status(thm)],[c_0_1553]) ).
cnf(c_0_2116,plain,
c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1554]) ).
cnf(c_0_2117,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1555]) ).
cnf(c_0_2118,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1556]) ).
cnf(c_0_2119,plain,
( X1 = c_List_Olist_ONil(X2)
| X3 != c_List_Oappend(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1557]) ).
cnf(c_0_2120,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(split_conjunct,[status(thm)],[c_0_1558]) ).
cnf(c_0_2121,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1559]) ).
cnf(c_0_2122,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(split_conjunct,[status(thm)],[c_0_1560]) ).
cnf(c_0_2123,plain,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
inference(split_conjunct,[status(thm)],[c_0_1561]) ).
cnf(c_0_2124,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1562]) ).
cnf(c_0_2125,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1563]) ).
cnf(c_0_2126,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_1564]) ).
cnf(c_0_2127,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(split_conjunct,[status(thm)],[c_0_1565]) ).
cnf(c_0_2128,plain,
X1 != c_List_Olist_OCons(X2,X1,X3),
inference(split_conjunct,[status(thm)],[c_0_1566]) ).
cnf(c_0_2129,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1567]) ).
cnf(c_0_2130,plain,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(split_conjunct,[status(thm)],[c_0_1568]) ).
cnf(c_0_2131,plain,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
inference(split_conjunct,[status(thm)],[c_0_1569]) ).
cnf(c_0_2132,plain,
hAPP(c_Public_OshrK,X1) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_1570]) ).
cnf(c_0_2133,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1571]) ).
cnf(c_0_2134,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1572]) ).
cnf(c_0_2135,plain,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1573]) ).
cnf(c_0_2136,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(split_conjunct,[status(thm)],[c_0_1574]) ).
cnf(c_0_2137,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(split_conjunct,[status(thm)],[c_0_1575]) ).
cnf(c_0_2138,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1576]) ).
cnf(c_0_2139,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(split_conjunct,[status(thm)],[c_0_1577]) ).
cnf(c_0_2140,plain,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1578]) ).
cnf(c_0_2141,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1579]) ).
cnf(c_0_2142,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1580]) ).
cnf(c_0_2143,plain,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1581]) ).
cnf(c_0_2144,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1582]) ).
cnf(c_0_2145,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1583]) ).
cnf(c_0_2146,plain,
( X1 = X2
| hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4) ),
inference(split_conjunct,[status(thm)],[c_0_1584]) ).
cnf(c_0_2147,plain,
( X1 = X2
| hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_1585]) ).
cnf(c_0_2148,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1586]) ).
cnf(c_0_2149,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_1587]) ).
cnf(c_0_2150,plain,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1588]) ).
cnf(c_0_2151,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1589]) ).
cnf(c_0_2152,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1590]) ).
cnf(c_0_2153,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1591]) ).
cnf(c_0_2154,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(split_conjunct,[status(thm)],[c_0_1592]) ).
cnf(c_0_2155,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1593]) ).
cnf(c_0_2156,plain,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1594]) ).
cnf(c_0_2157,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(split_conjunct,[status(thm)],[c_0_1595]) ).
cnf(c_0_2158,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1596]) ).
cnf(c_0_2159,plain,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(split_conjunct,[status(thm)],[c_0_1597]) ).
cnf(c_0_2160,plain,
c_fequal(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1598]) ).
cnf(c_0_2161,plain,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_1599]) ).
cnf(c_0_2162,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1600]) ).
cnf(c_0_2163,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1601]) ).
cnf(c_0_2164,plain,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
inference(split_conjunct,[status(thm)],[c_0_1602]) ).
cnf(c_0_2165,plain,
hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OpublicKey(X2),X3),
inference(split_conjunct,[status(thm)],[c_0_1603]) ).
cnf(c_0_2166,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(split_conjunct,[status(thm)],[c_0_1604]) ).
cnf(c_0_2167,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1605]) ).
cnf(c_0_2168,plain,
( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1606]) ).
cnf(c_0_2169,plain,
( X1 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1607]) ).
cnf(c_0_2170,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1608]) ).
cnf(c_0_2171,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1609]) ).
cnf(c_0_2172,plain,
( X1 = X2
| c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1610]) ).
cnf(c_0_2173,plain,
( X1 = X2
| c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1611]) ).
cnf(c_0_2174,plain,
( X1 = X2
| c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1612]) ).
cnf(c_0_2175,plain,
( X1 = X2
| c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1613]) ).
cnf(c_0_2176,plain,
( X1 = X2
| c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1614]) ).
cnf(c_0_2177,plain,
( X1 = X2
| c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1615]) ).
cnf(c_0_2178,plain,
( X1 = X2
| c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1616]) ).
cnf(c_0_2179,plain,
( X1 = X2
| c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_1617]) ).
cnf(c_0_2180,plain,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1618]) ).
cnf(c_0_2181,plain,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1619]) ).
cnf(c_0_2182,plain,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1620]) ).
cnf(c_0_2183,plain,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
inference(split_conjunct,[status(thm)],[c_0_1621]) ).
cnf(c_0_2184,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1622]) ).
cnf(c_0_2185,plain,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
inference(split_conjunct,[status(thm)],[c_0_1623]) ).
cnf(c_0_2186,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1624]) ).
cnf(c_0_2187,plain,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
inference(split_conjunct,[status(thm)],[c_0_1625]) ).
cnf(c_0_2188,plain,
( X1 = X2
| hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1626]) ).
cnf(c_0_2189,plain,
( X1 = X2
| hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1627]) ).
cnf(c_0_2190,plain,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_1628]) ).
cnf(c_0_2191,plain,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
inference(split_conjunct,[status(thm)],[c_0_1629]) ).
cnf(c_0_2192,plain,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
inference(split_conjunct,[status(thm)],[c_0_1630]) ).
cnf(c_0_2193,plain,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1631]) ).
cnf(c_0_2194,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1632]) ).
cnf(c_0_2195,plain,
( class_Orderings_Otop(tc_fun(X2,X1))
| ~ class_Orderings_Otop(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1633]) ).
cnf(c_0_2196,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1634]) ).
cnf(c_0_2197,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1635]) ).
cnf(c_0_2198,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1636]) ).
cnf(c_0_2199,plain,
( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1637]) ).
cnf(c_0_2200,plain,
( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1638]) ).
cnf(c_0_2201,plain,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1639]) ).
cnf(c_0_2202,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Olist_ONil(X2) != c_List_Oremdups(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_1640]) ).
cnf(c_0_2203,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1641]) ).
cnf(c_0_2204,plain,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
inference(split_conjunct,[status(thm)],[c_0_1642]) ).
cnf(c_0_2205,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1643]) ).
cnf(c_0_2206,plain,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
inference(split_conjunct,[status(thm)],[c_0_1644]) ).
cnf(c_0_2207,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1645]) ).
cnf(c_0_2208,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1646]) ).
cnf(c_0_2209,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
inference(split_conjunct,[status(thm)],[c_0_1647]) ).
cnf(c_0_2210,plain,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
inference(split_conjunct,[status(thm)],[c_0_1648]) ).
cnf(c_0_2211,plain,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
inference(split_conjunct,[status(thm)],[c_0_1649]) ).
cnf(c_0_2212,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
inference(split_conjunct,[status(thm)],[c_0_1650]) ).
cnf(c_0_2213,plain,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
inference(split_conjunct,[status(thm)],[c_0_1651]) ).
cnf(c_0_2214,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
inference(split_conjunct,[status(thm)],[c_0_1652]) ).
cnf(c_0_2215,plain,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
inference(split_conjunct,[status(thm)],[c_0_1653]) ).
cnf(c_0_2216,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(split_conjunct,[status(thm)],[c_0_1654]) ).
cnf(c_0_2217,plain,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1655]) ).
cnf(c_0_2218,plain,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
inference(split_conjunct,[status(thm)],[c_0_1656]) ).
cnf(c_0_2219,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_1657]) ).
cnf(c_0_2220,plain,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1658]) ).
cnf(c_0_2221,plain,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1659]) ).
cnf(c_0_2222,plain,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1660]) ).
cnf(c_0_2223,plain,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(split_conjunct,[status(thm)],[c_0_1661]) ).
cnf(c_0_2224,plain,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(split_conjunct,[status(thm)],[c_0_1662]) ).
cnf(c_0_2225,plain,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
inference(split_conjunct,[status(thm)],[c_0_1663]) ).
cnf(c_0_2226,plain,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
inference(split_conjunct,[status(thm)],[c_0_1664]) ).
cnf(c_0_2227,plain,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
inference(split_conjunct,[status(thm)],[c_0_1665]) ).
cnf(c_0_2228,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
inference(split_conjunct,[status(thm)],[c_0_1666]) ).
cnf(c_0_2229,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
inference(split_conjunct,[status(thm)],[c_0_1667]) ).
cnf(c_0_2230,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_1668]) ).
cnf(c_0_2231,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
inference(split_conjunct,[status(thm)],[c_0_1669]) ).
cnf(c_0_2232,plain,
class_HOL_Oord(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1670]) ).
cnf(c_0_2233,plain,
class_Orderings_Otop(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1671]) ).
cnf(c_0_2234,plain,
class_Orderings_Oorder(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1672]) ).
cnf(c_0_2235,plain,
class_Lattices_Olattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1673]) ).
cnf(c_0_2236,plain,
class_Orderings_Opreorder(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1674]) ).
cnf(c_0_2237,plain,
class_Lattices_Oboolean__algebra(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1675]) ).
cnf(c_0_2238,plain,
class_Lattices_Obounded__lattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1676]) ).
cnf(c_0_2239,plain,
class_Lattices_Oupper__semilattice(tc_bool),
inference(split_conjunct,[status(thm)],[c_0_1677]) ).
cnf(c_0_2240,plain,
class_HOL_Oord(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1678]) ).
cnf(c_0_2241,plain,
class_Orderings_Oorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1679]) ).
cnf(c_0_2242,plain,
class_Lattices_Olattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1680]) ).
cnf(c_0_2243,plain,
class_Orderings_Olinorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1681]) ).
cnf(c_0_2244,plain,
class_Orderings_Opreorder(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1682]) ).
cnf(c_0_2245,plain,
class_Lattices_Oupper__semilattice(tc_nat),
inference(split_conjunct,[status(thm)],[c_0_1683]) ).
cnf(c_0_2246,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(split_conjunct,[status(thm)],[c_0_1684]) ).
cnf(c_0_2247,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(split_conjunct,[status(thm)],[c_0_1685]) ).
cnf(c_0_2248,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1686,
[final] ).
cnf(c_0_2249,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1687,
[final] ).
cnf(c_0_2250,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
c_0_1688,
[final] ).
cnf(c_0_2251,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
c_0_1689,
[final] ).
cnf(c_0_2252,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1690,
[final] ).
cnf(c_0_2253,plain,
( c_in(X3,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
c_0_1691,
[final] ).
cnf(c_0_2254,plain,
( X5 = X10
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1692,
[final] ).
cnf(c_0_2255,plain,
( X3 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1693,
[final] ).
cnf(c_0_2256,plain,
( X2 = X8
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1694,
[final] ).
cnf(c_0_2257,plain,
( X1 = X7
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1695,
[final] ).
cnf(c_0_2258,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1696,
[final] ).
cnf(c_0_2259,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_1697,
[final] ).
cnf(c_0_2260,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
c_0_1698,
[final] ).
cnf(c_0_2261,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X3,X2,tc_nat) ),
c_0_1699,
[final] ).
cnf(c_0_2262,plain,
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1700,
[final] ).
cnf(c_0_2263,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
c_0_1701,
[final] ).
cnf(c_0_2264,plain,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1702,
[final] ).
cnf(c_0_2265,plain,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1703,
[final] ).
cnf(c_0_2266,plain,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1704,
[final] ).
cnf(c_0_2267,plain,
( X2 = c_Message_Oagent_OServer
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1705,
[final] ).
cnf(c_0_2268,plain,
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1706,
[final] ).
cnf(c_0_2269,plain,
( X2 = c_Message_Oagent_OServer
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1707,
[final] ).
cnf(c_0_2270,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1708,
[final] ).
cnf(c_0_2271,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_1709,
[final] ).
cnf(c_0_2272,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_1710,
[final] ).
cnf(c_0_2273,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1711,
[final] ).
cnf(c_0_2274,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1712,
[final] ).
cnf(c_0_2275,plain,
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1713,
[final] ).
cnf(c_0_2276,plain,
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1714,
[final] ).
cnf(c_0_2277,plain,
( X2 = hAPP(c_Public_OshrK,X1)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1715,
[final] ).
cnf(c_0_2278,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1716,
[final] ).
cnf(c_0_2279,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X3,tc_nat) ),
c_0_1717,
[final] ).
cnf(c_0_2280,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1718,
[final] ).
cnf(c_0_2281,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1719,
[final] ).
cnf(c_0_2282,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
c_0_1720,
[final] ).
cnf(c_0_2283,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1721,
[final] ).
cnf(c_0_2284,plain,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1722,
[final] ).
cnf(c_0_2285,plain,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
c_0_1723,
[final] ).
cnf(c_0_2286,plain,
( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
c_0_1724,
[final] ).
cnf(c_0_2287,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1725,
[final] ).
cnf(c_0_2288,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1726,
[final] ).
cnf(c_0_2289,plain,
( c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1727,
[final] ).
cnf(c_0_2290,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1728,
[final] ).
cnf(c_0_2291,plain,
( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
c_0_1729,
[final] ).
cnf(c_0_2292,plain,
( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
c_0_1730,
[final] ).
cnf(c_0_2293,plain,
( c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1731,
[final] ).
cnf(c_0_2294,plain,
( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| X3 = X2
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
c_0_1732,
[final] ).
cnf(c_0_2295,plain,
( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
c_0_1733,
[final] ).
cnf(c_0_2296,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
c_0_1734,
[final] ).
cnf(c_0_2297,plain,
( hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X4,X3)) = X1
| ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4) ),
c_0_1735,
[final] ).
cnf(c_0_2298,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5),
c_0_1736,
[final] ).
cnf(c_0_2299,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4),
c_0_1737,
[final] ).
cnf(c_0_2300,plain,
( c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
c_0_1738,
[final] ).
cnf(c_0_2301,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
c_0_1739,
[final] ).
cnf(c_0_2302,plain,
( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_1740,
[final] ).
cnf(c_0_2303,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
c_0_1741,
[final] ).
cnf(c_0_2304,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1742,
[final] ).
cnf(c_0_2305,plain,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
c_0_1743,
[final] ).
cnf(c_0_2306,plain,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1744,
[final] ).
cnf(c_0_2307,plain,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_1745,
[final] ).
cnf(c_0_2308,plain,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(X4,X5,X2) ),
c_0_1746,
[final] ).
cnf(c_0_2309,plain,
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1747,
[final] ).
cnf(c_0_2310,plain,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1748,
[final] ).
cnf(c_0_2311,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1749,
[final] ).
cnf(c_0_2312,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1750,
[final] ).
cnf(c_0_2313,plain,
( c_in(hAPP(X1,X6),X5,X4)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X2,X3) ),
c_0_1751,
[final] ).
cnf(c_0_2314,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
c_0_1752,
[final] ).
cnf(c_0_2315,plain,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat),
c_0_1753,
[final] ).
cnf(c_0_2316,plain,
( c_in(X2,X4,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1754,
[final] ).
cnf(c_0_2317,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1755,
[final] ).
cnf(c_0_2318,plain,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
c_0_1756,
[final] ).
cnf(c_0_2319,plain,
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1757,
[final] ).
cnf(c_0_2320,plain,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
c_0_1758,
[final] ).
cnf(c_0_2321,plain,
( c_in(X1,X2,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1759,
[final] ).
cnf(c_0_2322,plain,
( c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
c_0_1760,
[final] ).
cnf(c_0_2323,plain,
( X1 = X3
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
c_0_1761,
[final] ).
cnf(c_0_2324,plain,
c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),
c_0_1762,
[final] ).
cnf(c_0_2325,plain,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
c_0_1763,
[final] ).
cnf(c_0_2326,plain,
( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
c_0_1764,
[final] ).
cnf(c_0_2327,plain,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
c_0_1765,
[final] ).
cnf(c_0_2328,plain,
~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
c_0_1766,
[final] ).
cnf(c_0_2329,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
c_0_1767,
[final] ).
cnf(c_0_2330,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
c_0_1768,
[final] ).
cnf(c_0_2331,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
c_0_1769,
[final] ).
cnf(c_0_2332,plain,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
c_0_1770,
[final] ).
cnf(c_0_2333,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
c_0_1771,
[final] ).
cnf(c_0_2334,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)),
c_0_1772,
[final] ).
cnf(c_0_2335,plain,
c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)),
c_0_1773,
[final] ).
cnf(c_0_2336,plain,
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
c_0_1774,
[final] ).
cnf(c_0_2337,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
c_0_1775,
[final] ).
cnf(c_0_2338,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
c_0_1776,
[final] ).
cnf(c_0_2339,plain,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
c_0_1777,
[final] ).
cnf(c_0_2340,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3) ),
c_0_1778,
[final] ).
cnf(c_0_2341,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3) ),
c_0_1779,
[final] ).
cnf(c_0_2342,plain,
( X2 = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
c_0_1780,
[final] ).
cnf(c_0_2343,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
c_0_1781,
[final] ).
cnf(c_0_2344,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
c_0_1782,
[final] ).
cnf(c_0_2345,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1783,
[final] ).
cnf(c_0_2346,plain,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
c_0_1784,
[final] ).
cnf(c_0_2347,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1785,
[final] ).
cnf(c_0_2348,plain,
c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
c_0_1786,
[final] ).
cnf(c_0_2349,plain,
c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
c_0_1787,
[final] ).
cnf(c_0_2350,plain,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
c_0_1788,
[final] ).
cnf(c_0_2351,plain,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
c_0_1789,
[final] ).
cnf(c_0_2352,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
c_0_1790,
[final] ).
cnf(c_0_2353,plain,
( c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,X2,tc_Message_Oagent) ),
c_0_1791,
[final] ).
cnf(c_0_2354,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
c_0_1792,
[final] ).
cnf(c_0_2355,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
c_0_1793,
[final] ).
cnf(c_0_2356,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
c_0_1794,
[final] ).
cnf(c_0_2357,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
c_0_1795,
[final] ).
cnf(c_0_2358,plain,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
c_0_1796,
[final] ).
cnf(c_0_2359,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1797,
[final] ).
cnf(c_0_2360,plain,
( c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,X2,tc_Message_Oagent) ),
c_0_1798,
[final] ).
cnf(c_0_2361,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
c_0_1799,
[final] ).
cnf(c_0_2362,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
c_0_1800,
[final] ).
cnf(c_0_2363,plain,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
c_0_1801,
[final] ).
cnf(c_0_2364,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_1802,
[final] ).
cnf(c_0_2365,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_1803,
[final] ).
cnf(c_0_2366,plain,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
c_0_1804,
[final] ).
cnf(c_0_2367,plain,
( c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1805,
[final] ).
cnf(c_0_2368,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
c_0_1806,
[final] ).
cnf(c_0_2369,plain,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_1807,
[final] ).
cnf(c_0_2370,plain,
( hBOOL(hAPP(X1,X4))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
c_0_1808,
[final] ).
cnf(c_0_2371,plain,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
c_0_1809,
[final] ).
cnf(c_0_2372,plain,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1810,
[final] ).
cnf(c_0_2373,plain,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
c_0_1811,
[final] ).
cnf(c_0_2374,plain,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1812,
[final] ).
cnf(c_0_2375,plain,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
c_0_1813,
[final] ).
cnf(c_0_2376,plain,
( X1 = X2
| c_in(X1,c_List_Oset(X3,X4),X4)
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
c_0_1814,
[final] ).
cnf(c_0_2377,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1815,
[final] ).
cnf(c_0_2378,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1816,
[final] ).
cnf(c_0_2379,plain,
c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1817,
[final] ).
cnf(c_0_2380,plain,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1818,
[final] ).
cnf(c_0_2381,plain,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,X2,tc_Message_Omsg) ),
c_0_1819,
[final] ).
cnf(c_0_2382,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),
c_0_1820,
[final] ).
cnf(c_0_2383,plain,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
c_0_1821,
[final] ).
cnf(c_0_2384,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
c_0_1822,
[final] ).
cnf(c_0_2385,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
c_0_1823,
[final] ).
cnf(c_0_2386,plain,
( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_1824,
[final] ).
cnf(c_0_2387,plain,
( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_1825,
[final] ).
cnf(c_0_2388,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1826,
[final] ).
cnf(c_0_2389,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1827,
[final] ).
cnf(c_0_2390,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OMPair(X3,X4),X5,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X3,X4),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X5,tc_Message_Omsg),tc_Message_Omsg),
c_0_1828,
[final] ).
cnf(c_0_2391,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1829,
[final] ).
cnf(c_0_2392,plain,
( c_in(c_List_Oappend(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
c_0_1830,
[final] ).
cnf(c_0_2393,plain,
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
c_0_1831,
[final] ).
cnf(c_0_2394,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X4,tc_Message_Omsg),tc_Message_Omsg),
c_0_1832,
[final] ).
cnf(c_0_2395,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X3),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X4,tc_Message_Omsg),tc_Message_Omsg),
c_0_1833,
[final] ).
cnf(c_0_2396,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
c_0_1834,
[final] ).
cnf(c_0_2397,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_1835,
[final] ).
cnf(c_0_2398,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
c_0_1836,
[final] ).
cnf(c_0_2399,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),
c_0_1837,
[final] ).
cnf(c_0_2400,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
c_0_1838,
[final] ).
cnf(c_0_2401,plain,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
c_0_1839,
[final] ).
cnf(c_0_2402,plain,
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1840,
[final] ).
cnf(c_0_2403,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
c_0_1841,
[final] ).
cnf(c_0_2404,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
c_0_1842,
[final] ).
cnf(c_0_2405,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1843,
[final] ).
cnf(c_0_2406,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1844,
[final] ).
cnf(c_0_2407,plain,
( c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
c_0_1845,
[final] ).
cnf(c_0_2408,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1846,
[final] ).
cnf(c_0_2409,plain,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1847,
[final] ).
cnf(c_0_2410,plain,
( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
c_0_1848,
[final] ).
cnf(c_0_2411,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
c_0_1849,
[final] ).
cnf(c_0_2412,plain,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
c_0_1850,
[final] ).
cnf(c_0_2413,plain,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
c_0_1851,
[final] ).
cnf(c_0_2414,plain,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_1852,
[final] ).
cnf(c_0_2415,plain,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
c_0_1853,
[final] ).
cnf(c_0_2416,plain,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1854,
[final] ).
cnf(c_0_2417,plain,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
c_0_1855,
[final] ).
cnf(c_0_2418,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_ONonce(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
c_0_1856,
[final] ).
cnf(c_0_2419,plain,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OAgent(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
c_0_1857,
[final] ).
cnf(c_0_2420,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
c_0_1858,
[final] ).
cnf(c_0_2421,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1859,
[final] ).
cnf(c_0_2422,plain,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1860,
[final] ).
cnf(c_0_2423,plain,
c_lessequals(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1861,
[final] ).
cnf(c_0_2424,plain,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1862,
[final] ).
cnf(c_0_2425,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
c_0_1863,
[final] ).
cnf(c_0_2426,plain,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
c_0_1864,
[final] ).
cnf(c_0_2427,plain,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
c_0_1865,
[final] ).
cnf(c_0_2428,plain,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1866,
[final] ).
cnf(c_0_2429,plain,
( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1867,
[final] ).
cnf(c_0_2430,plain,
( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
c_0_1868,
[final] ).
cnf(c_0_2431,plain,
( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
c_0_1869,
[final] ).
cnf(c_0_2432,plain,
c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)),
c_0_1870,
[final] ).
cnf(c_0_2433,plain,
c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),
c_0_1871,
[final] ).
cnf(c_0_2434,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1872,
[final] ).
cnf(c_0_2435,plain,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1873,
[final] ).
cnf(c_0_2436,plain,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_1874,
[final] ).
cnf(c_0_2437,plain,
( c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1875,
[final] ).
cnf(c_0_2438,plain,
( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1876,
[final] ).
cnf(c_0_2439,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1877,
[final] ).
cnf(c_0_2440,plain,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1878,
[final] ).
cnf(c_0_2441,plain,
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1879,
[final] ).
cnf(c_0_2442,plain,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_1880,
[final] ).
cnf(c_0_2443,plain,
( c_in(X3,c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1881,
[final] ).
cnf(c_0_2444,plain,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
c_0_1882,
[final] ).
cnf(c_0_2445,plain,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
c_0_1883,
[final] ).
cnf(c_0_2446,plain,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_1884,
[final] ).
cnf(c_0_2447,plain,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
c_0_1885,
[final] ).
cnf(c_0_2448,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1886,
[final] ).
cnf(c_0_2449,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1887,
[final] ).
cnf(c_0_2450,plain,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
c_0_1888,
[final] ).
cnf(c_0_2451,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_1889,
[final] ).
cnf(c_0_2452,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1890,
[final] ).
cnf(c_0_2453,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1891,
[final] ).
cnf(c_0_2454,plain,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1892,
[final] ).
cnf(c_0_2455,plain,
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_1893,
[final] ).
cnf(c_0_2456,plain,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1894,
[final] ).
cnf(c_0_2457,plain,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_1895,
[final] ).
cnf(c_0_2458,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1896,
[final] ).
cnf(c_0_2459,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
c_0_1897,
[final] ).
cnf(c_0_2460,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
c_0_1898,
[final] ).
cnf(c_0_2461,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1899,
[final] ).
cnf(c_0_2462,plain,
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
| c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
c_0_1900,
[final] ).
cnf(c_0_2463,plain,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
c_0_1901,
[final] ).
cnf(c_0_2464,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1902,
[final] ).
cnf(c_0_2465,plain,
( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_1903,
[final] ).
cnf(c_0_2466,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
c_0_1904,
[final] ).
cnf(c_0_2467,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
c_0_1905,
[final] ).
cnf(c_0_2468,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
c_0_1906,
[final] ).
cnf(c_0_2469,plain,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
c_0_1907,
[final] ).
cnf(c_0_2470,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1908,
[final] ).
cnf(c_0_2471,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1909,
[final] ).
cnf(c_0_2472,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
c_0_1910,
[final] ).
cnf(c_0_2473,plain,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
c_0_1911,
[final] ).
cnf(c_0_2474,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
c_0_1912,
[final] ).
cnf(c_0_2475,plain,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1913,
[final] ).
cnf(c_0_2476,plain,
( c_in(X4,X2,X3)
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
c_0_1914,
[final] ).
cnf(c_0_2477,plain,
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
c_0_1915,
[final] ).
cnf(c_0_2478,plain,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
c_0_1916,
[final] ).
cnf(c_0_2479,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1917,
[final] ).
cnf(c_0_2480,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1918,
[final] ).
cnf(c_0_2481,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1919,
[final] ).
cnf(c_0_2482,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1920,
[final] ).
cnf(c_0_2483,plain,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
c_0_1921,
[final] ).
cnf(c_0_2484,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
c_0_1922,
[final] ).
cnf(c_0_2485,plain,
( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1923,
[final] ).
cnf(c_0_2486,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
c_0_1924,
[final] ).
cnf(c_0_2487,plain,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_1925,
[final] ).
cnf(c_0_2488,plain,
( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
c_0_1926,
[final] ).
cnf(c_0_2489,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist__inter(X4,X2,X3) ),
c_0_1927,
[final] ).
cnf(c_0_2490,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1928,
[final] ).
cnf(c_0_2491,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1929,
[final] ).
cnf(c_0_2492,plain,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_1930,
[final] ).
cnf(c_0_2493,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_1931,
[final] ).
cnf(c_0_2494,plain,
( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
c_0_1932,
[final] ).
cnf(c_0_2495,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
c_0_1933,
[final] ).
cnf(c_0_2496,plain,
( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1934,
[final] ).
cnf(c_0_2497,plain,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
c_0_1935,
[final] ).
cnf(c_0_2498,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) ),
c_0_1936,
[final] ).
cnf(c_0_2499,plain,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1937,
[final] ).
cnf(c_0_2500,plain,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1938,
[final] ).
cnf(c_0_2501,plain,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1939,
[final] ).
cnf(c_0_2502,plain,
( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
c_0_1940,
[final] ).
cnf(c_0_2503,plain,
( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
c_0_1941,
[final] ).
cnf(c_0_2504,plain,
( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
c_0_1942,
[final] ).
cnf(c_0_2505,plain,
( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_1943,
[final] ).
cnf(c_0_2506,plain,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
c_0_1944,
[final] ).
cnf(c_0_2507,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1945,
[final] ).
cnf(c_0_2508,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1946,
[final] ).
cnf(c_0_2509,plain,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
c_0_1947,
[final] ).
cnf(c_0_2510,plain,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
c_0_1948,
[final] ).
cnf(c_0_2511,plain,
( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
c_0_1949,
[final] ).
cnf(c_0_2512,plain,
( c_List_Olength__unique(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olength__unique(X2,X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
c_0_1950,
[final] ).
cnf(c_0_2513,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1951,
[final] ).
cnf(c_0_2514,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1952,
[final] ).
cnf(c_0_2515,plain,
( X1 = c_Message_Oagent_OSpy
| c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
c_0_1953,
[final] ).
cnf(c_0_2516,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X1,X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)) = c_List_Oset(c_List_Oappend(X1,X2,X3),X3),
c_0_1954,
[final] ).
cnf(c_0_2517,plain,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg),
c_0_1955,
[final] ).
cnf(c_0_2518,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1956,
[final] ).
cnf(c_0_2519,plain,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
c_0_1957,
[final] ).
cnf(c_0_2520,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oused(X3),tc_Message_Omsg),
c_0_1958,
[final] ).
cnf(c_0_2521,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
c_0_1959,
[final] ).
cnf(c_0_2522,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_1960,
[final] ).
cnf(c_0_2523,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
c_0_1961,
[final] ).
cnf(c_0_2524,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
c_0_1962,
[final] ).
cnf(c_0_2525,plain,
( X1 = c_Message_Oagent_OSpy
| c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1963,
[final] ).
cnf(c_0_2526,plain,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
c_0_1964,
[final] ).
cnf(c_0_2527,plain,
( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1965,
[final] ).
cnf(c_0_2528,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
c_0_1966,
[final] ).
cnf(c_0_2529,plain,
c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),
c_0_1967,
[final] ).
cnf(c_0_2530,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_1968,
[final] ).
cnf(c_0_2531,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_1969,
[final] ).
cnf(c_0_2532,plain,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
c_0_1970,
[final] ).
cnf(c_0_2533,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_1971,
[final] ).
cnf(c_0_2534,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
c_0_1972,
[final] ).
cnf(c_0_2535,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1973,
[final] ).
cnf(c_0_2536,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))
| c_Message_Oanalz(X2) != c_Message_Oanalz(X3) ),
c_0_1974,
[final] ).
cnf(c_0_2537,plain,
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1975,
[final] ).
cnf(c_0_2538,plain,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
c_0_1976,
[final] ).
cnf(c_0_2539,plain,
( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
c_0_1977,
[final] ).
cnf(c_0_2540,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
c_0_1978,
[final] ).
cnf(c_0_2541,plain,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
c_0_1979,
[final] ).
cnf(c_0_2542,plain,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
c_0_1980,
[final] ).
cnf(c_0_2543,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_1981,
[final] ).
cnf(c_0_2544,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_1982,
[final] ).
cnf(c_0_2545,plain,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
c_0_1983,
[final] ).
cnf(c_0_2546,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
c_0_1984,
[final] ).
cnf(c_0_2547,plain,
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
c_0_1985,
[final] ).
cnf(c_0_2548,plain,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1986,
[final] ).
cnf(c_0_2549,plain,
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1987,
[final] ).
cnf(c_0_2550,plain,
( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1988,
[final] ).
cnf(c_0_2551,plain,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
c_0_1989,
[final] ).
cnf(c_0_2552,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1990,
[final] ).
cnf(c_0_2553,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_1991,
[final] ).
cnf(c_0_2554,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1992,
[final] ).
cnf(c_0_2555,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_1993,
[final] ).
cnf(c_0_2556,plain,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1994,
[final] ).
cnf(c_0_2557,plain,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1995,
[final] ).
cnf(c_0_2558,plain,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_1996,
[final] ).
cnf(c_0_2559,plain,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat),
c_0_1997,
[final] ).
cnf(c_0_2560,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_1998,
[final] ).
cnf(c_0_2561,plain,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_1999,
[final] ).
cnf(c_0_2562,plain,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
c_0_2000,
[final] ).
cnf(c_0_2563,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
c_0_2001,
[final] ).
cnf(c_0_2564,plain,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_2002,
[final] ).
cnf(c_0_2565,plain,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
c_0_2003,
[final] ).
cnf(c_0_2566,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
c_0_2004,
[final] ).
cnf(c_0_2567,plain,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_2005,
[final] ).
cnf(c_0_2568,plain,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_2006,
[final] ).
cnf(c_0_2569,plain,
( c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_2007,
[final] ).
cnf(c_0_2570,plain,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
c_0_2008,
[final] ).
cnf(c_0_2571,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
c_0_2009,
[final] ).
cnf(c_0_2572,plain,
c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3) = c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),
c_0_2010,
[final] ).
cnf(c_0_2573,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
c_0_2011,
[final] ).
cnf(c_0_2574,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_2012,
[final] ).
cnf(c_0_2575,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
c_0_2013,
[final] ).
cnf(c_0_2576,plain,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
c_0_2014,
[final] ).
cnf(c_0_2577,plain,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
c_0_2015,
[final] ).
cnf(c_0_2578,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2016,
[final] ).
cnf(c_0_2579,plain,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
c_0_2017,
[final] ).
cnf(c_0_2580,plain,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
c_0_2018,
[final] ).
cnf(c_0_2581,plain,
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
c_0_2019,
[final] ).
cnf(c_0_2582,plain,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
c_0_2020,
[final] ).
cnf(c_0_2583,plain,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
c_0_2021,
[final] ).
cnf(c_0_2584,plain,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_2022,
[final] ).
cnf(c_0_2585,plain,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
c_0_2023,
[final] ).
cnf(c_0_2586,plain,
( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
c_0_2024,
[final] ).
cnf(c_0_2587,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
c_0_2025,
[final] ).
cnf(c_0_2588,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
c_0_2026,
[final] ).
cnf(c_0_2589,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
c_0_2027,
[final] ).
cnf(c_0_2590,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
c_0_2028,
[final] ).
cnf(c_0_2591,plain,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
c_0_2029,
[final] ).
cnf(c_0_2592,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2030,
[final] ).
cnf(c_0_2593,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2031,
[final] ).
cnf(c_0_2594,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2032,
[final] ).
cnf(c_0_2595,plain,
( c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
c_0_2033,
[final] ).
cnf(c_0_2596,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
c_0_2034,
[final] ).
cnf(c_0_2597,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
c_0_2035,
[final] ).
cnf(c_0_2598,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
c_0_2036,
[final] ).
cnf(c_0_2599,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
c_0_2037,
[final] ).
cnf(c_0_2600,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
c_0_2038,
[final] ).
cnf(c_0_2601,plain,
( X1 = X2
| c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
c_0_2039,
[final] ).
cnf(c_0_2602,plain,
( X1 = X2
| c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
c_0_2040,
[final] ).
cnf(c_0_2603,plain,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
c_0_2041,
[final] ).
cnf(c_0_2604,plain,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
c_0_2042,
[final] ).
cnf(c_0_2605,plain,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
c_0_2043,
[final] ).
cnf(c_0_2606,plain,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
c_0_2044,
[final] ).
cnf(c_0_2607,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
c_0_2045,
[final] ).
cnf(c_0_2608,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
c_0_2046,
[final] ).
cnf(c_0_2609,plain,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg) ),
c_0_2047,
[final] ).
cnf(c_0_2610,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
c_0_2048,
[final] ).
cnf(c_0_2611,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2049,
[final] ).
cnf(c_0_2612,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2050,
[final] ).
cnf(c_0_2613,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_2051,
[final] ).
cnf(c_0_2614,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_2052,
[final] ).
cnf(c_0_2615,plain,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
c_0_2053,
[final] ).
cnf(c_0_2616,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
c_0_2054,
[final] ).
cnf(c_0_2617,plain,
( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_2055,
[final] ).
cnf(c_0_2618,plain,
( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
c_0_2056,
[final] ).
cnf(c_0_2619,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
c_0_2057,
[final] ).
cnf(c_0_2620,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
c_0_2058,
[final] ).
cnf(c_0_2621,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
c_0_2059,
[final] ).
cnf(c_0_2622,plain,
( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
c_0_2060,
[final] ).
cnf(c_0_2623,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oused(X3),tc_Message_Omsg),
c_0_2061,
[final] ).
cnf(c_0_2624,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_OinitState(X3),tc_Message_Omsg),
c_0_2062,
[final] ).
cnf(c_0_2625,plain,
c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
c_0_2063,
[final] ).
cnf(c_0_2626,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
c_0_2064,
[final] ).
cnf(c_0_2627,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
c_0_2065,
[final] ).
cnf(c_0_2628,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
c_0_2066,
[final] ).
cnf(c_0_2629,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg),
c_0_2067,
[final] ).
cnf(c_0_2630,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_2068,
[final] ).
cnf(c_0_2631,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_2069,
[final] ).
cnf(c_0_2632,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
c_0_2070,
[final] ).
cnf(c_0_2633,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_2071,
[final] ).
cnf(c_0_2634,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_2072,
[final] ).
cnf(c_0_2635,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_2073,
[final] ).
cnf(c_0_2636,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
c_0_2074,
[final] ).
cnf(c_0_2637,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
c_0_2075,
[final] ).
cnf(c_0_2638,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
c_0_2076,
[final] ).
cnf(c_0_2639,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
c_0_2077,
[final] ).
cnf(c_0_2640,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
c_0_2078,
[final] ).
cnf(c_0_2641,plain,
( c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
c_0_2079,
[final] ).
cnf(c_0_2642,plain,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
c_0_2080,
[final] ).
cnf(c_0_2643,plain,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
c_0_2081,
[final] ).
cnf(c_0_2644,plain,
( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
c_0_2082,
[final] ).
cnf(c_0_2645,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
c_0_2083,
[final] ).
cnf(c_0_2646,plain,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2084,
[final] ).
cnf(c_0_2647,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
c_0_2085,
[final] ).
cnf(c_0_2648,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
c_0_2086,
[final] ).
cnf(c_0_2649,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
c_0_2087,
[final] ).
cnf(c_0_2650,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_OinitState(X1),tc_Message_Omsg),
c_0_2088,
[final] ).
cnf(c_0_2651,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
c_0_2089,
[final] ).
cnf(c_0_2652,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
c_0_2090,
[final] ).
cnf(c_0_2653,plain,
~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg),
c_0_2091,
[final] ).
cnf(c_0_2654,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
c_0_2092,
[final] ).
cnf(c_0_2655,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
c_0_2093,
[final] ).
cnf(c_0_2656,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2094,
[final] ).
cnf(c_0_2657,plain,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
c_0_2095,
[final] ).
cnf(c_0_2658,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2096,
[final] ).
cnf(c_0_2659,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
c_0_2097,
[final] ).
cnf(c_0_2660,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
c_0_2098,
[final] ).
cnf(c_0_2661,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
c_0_2099,
[final] ).
cnf(c_0_2662,plain,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
c_0_2100,
[final] ).
cnf(c_0_2663,plain,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
c_0_2101,
[final] ).
cnf(c_0_2664,plain,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
c_0_2102,
[final] ).
cnf(c_0_2665,plain,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
c_0_2103,
[final] ).
cnf(c_0_2666,plain,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
c_0_2104,
[final] ).
cnf(c_0_2667,plain,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2105,
[final] ).
cnf(c_0_2668,plain,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
c_0_2106,
[final] ).
cnf(c_0_2669,plain,
hAPP(c_Public_OpublicKey(X1),X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X3),X4)),
c_0_2107,
[final] ).
cnf(c_0_2670,plain,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OpublicKey(X3),X4),
c_0_2108,
[final] ).
cnf(c_0_2671,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_2109,
[final] ).
cnf(c_0_2672,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2110,
[final] ).
cnf(c_0_2673,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
c_0_2111,
[final] ).
cnf(c_0_2674,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2112,
[final] ).
cnf(c_0_2675,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X1)),
c_0_2113,
[final] ).
cnf(c_0_2676,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X1)),
c_0_2114,
[final] ).
cnf(c_0_2677,plain,
c_in(c_List_Olist_ONil(X1),c_List_Olists(X2,X1),tc_List_Olist(X1)),
c_0_2115,
[final] ).
cnf(c_0_2678,plain,
c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2116,
[final] ).
cnf(c_0_2679,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_2117,
[final] ).
cnf(c_0_2680,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
c_0_2118,
[final] ).
cnf(c_0_2681,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_2119,
[final] ).
cnf(c_0_2682,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
c_0_2120,
[final] ).
cnf(c_0_2683,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_2121,
[final] ).
cnf(c_0_2684,plain,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
c_0_2122,
[final] ).
cnf(c_0_2685,plain,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
c_0_2123,
[final] ).
cnf(c_0_2686,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_2124,
[final] ).
cnf(c_0_2687,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_2125,
[final] ).
cnf(c_0_2688,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
c_0_2126,
[final] ).
cnf(c_0_2689,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
c_0_2127,
[final] ).
cnf(c_0_2690,plain,
c_List_Olist_OCons(X2,X1,X3) != X1,
c_0_2128,
[final] ).
cnf(c_0_2691,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2129,
[final] ).
cnf(c_0_2692,plain,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
c_0_2130,
[final] ).
cnf(c_0_2693,plain,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
c_0_2131,
[final] ).
cnf(c_0_2694,plain,
hAPP(c_Public_OshrK,X1) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X3)),
c_0_2132,
[final] ).
cnf(c_0_2695,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2133,
[final] ).
cnf(c_0_2696,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2134,
[final] ).
cnf(c_0_2697,plain,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
c_0_2135,
[final] ).
cnf(c_0_2698,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
c_0_2136,
[final] ).
cnf(c_0_2699,plain,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
c_0_2137,
[final] ).
cnf(c_0_2700,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
c_0_2138,
[final] ).
cnf(c_0_2701,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
c_0_2139,
[final] ).
cnf(c_0_2702,plain,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
c_0_2140,
[final] ).
cnf(c_0_2703,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_2141,
[final] ).
cnf(c_0_2704,plain,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_2142,
[final] ).
cnf(c_0_2705,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2143,
[final] ).
cnf(c_0_2706,plain,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2144,
[final] ).
cnf(c_0_2707,plain,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
c_0_2145,
[final] ).
cnf(c_0_2708,plain,
( X1 = X2
| hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4) ),
c_0_2146,
[final] ).
cnf(c_0_2709,plain,
( X1 = X2
| hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2) ),
c_0_2147,
[final] ).
cnf(c_0_2710,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
c_0_2148,
[final] ).
cnf(c_0_2711,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
c_0_2149,
[final] ).
cnf(c_0_2712,plain,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
c_0_2150,
[final] ).
cnf(c_0_2713,plain,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
c_0_2151,
[final] ).
cnf(c_0_2714,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_2152,
[final] ).
cnf(c_0_2715,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_2153,
[final] ).
cnf(c_0_2716,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_2154,
[final] ).
cnf(c_0_2717,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_2155,
[final] ).
cnf(c_0_2718,plain,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
c_0_2156,
[final] ).
cnf(c_0_2719,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
c_0_2157,
[final] ).
cnf(c_0_2720,plain,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
c_0_2158,
[final] ).
cnf(c_0_2721,plain,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
c_0_2159,
[final] ).
cnf(c_0_2722,plain,
c_fequal(X1,X1,X2),
c_0_2160,
[final] ).
cnf(c_0_2723,plain,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
c_0_2161,
[final] ).
cnf(c_0_2724,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_2162,
[final] ).
cnf(c_0_2725,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_2163,
[final] ).
cnf(c_0_2726,plain,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
c_0_2164,
[final] ).
cnf(c_0_2727,plain,
hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OpublicKey(X2),X3),
c_0_2165,
[final] ).
cnf(c_0_2728,plain,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
c_0_2166,
[final] ).
cnf(c_0_2729,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2167,
[final] ).
cnf(c_0_2730,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2168,
[final] ).
cnf(c_0_2731,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2169,
[final] ).
cnf(c_0_2732,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_2170,
[final] ).
cnf(c_0_2733,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2171,
[final] ).
cnf(c_0_2734,plain,
( X1 = X2
| c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
c_0_2172,
[final] ).
cnf(c_0_2735,plain,
( X1 = X2
| c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
c_0_2173,
[final] ).
cnf(c_0_2736,plain,
( X1 = X2
| c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
c_0_2174,
[final] ).
cnf(c_0_2737,plain,
( X1 = X2
| c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
c_0_2175,
[final] ).
cnf(c_0_2738,plain,
( X1 = X2
| c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
c_0_2176,
[final] ).
cnf(c_0_2739,plain,
( X1 = X2
| c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
c_0_2177,
[final] ).
cnf(c_0_2740,plain,
( X1 = X2
| c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
c_0_2178,
[final] ).
cnf(c_0_2741,plain,
( X1 = X2
| c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
c_0_2179,
[final] ).
cnf(c_0_2742,plain,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
c_0_2180,
[final] ).
cnf(c_0_2743,plain,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
c_0_2181,
[final] ).
cnf(c_0_2744,plain,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
c_0_2182,
[final] ).
cnf(c_0_2745,plain,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
c_0_2183,
[final] ).
cnf(c_0_2746,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
c_0_2184,
[final] ).
cnf(c_0_2747,plain,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
c_0_2185,
[final] ).
cnf(c_0_2748,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
c_0_2186,
[final] ).
cnf(c_0_2749,plain,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
c_0_2187,
[final] ).
cnf(c_0_2750,plain,
( X1 = X2
| hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
c_0_2188,
[final] ).
cnf(c_0_2751,plain,
( X1 = X2
| hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
c_0_2189,
[final] ).
cnf(c_0_2752,plain,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
c_0_2190,
[final] ).
cnf(c_0_2753,plain,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
c_0_2191,
[final] ).
cnf(c_0_2754,plain,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
c_0_2192,
[final] ).
cnf(c_0_2755,plain,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
c_0_2193,
[final] ).
cnf(c_0_2756,plain,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
c_0_2194,
[final] ).
cnf(c_0_2757,plain,
( class_Orderings_Otop(tc_fun(X2,X1))
| ~ class_Orderings_Otop(X1) ),
c_0_2195,
[final] ).
cnf(c_0_2758,plain,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
c_0_2196,
[final] ).
cnf(c_0_2759,plain,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_2197,
[final] ).
cnf(c_0_2760,plain,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
c_0_2198,
[final] ).
cnf(c_0_2761,plain,
( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
c_0_2199,
[final] ).
cnf(c_0_2762,plain,
( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_2200,
[final] ).
cnf(c_0_2763,plain,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
c_0_2201,
[final] ).
cnf(c_0_2764,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2202,
[final] ).
cnf(c_0_2765,plain,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
c_0_2203,
[final] ).
cnf(c_0_2766,plain,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
c_0_2204,
[final] ).
cnf(c_0_2767,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
c_0_2205,
[final] ).
cnf(c_0_2768,plain,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
c_0_2206,
[final] ).
cnf(c_0_2769,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
c_0_2207,
[final] ).
cnf(c_0_2770,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
c_0_2208,
[final] ).
cnf(c_0_2771,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
c_0_2209,
[final] ).
cnf(c_0_2772,plain,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
c_0_2210,
[final] ).
cnf(c_0_2773,plain,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
c_0_2211,
[final] ).
cnf(c_0_2774,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
c_0_2212,
[final] ).
cnf(c_0_2775,plain,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
c_0_2213,
[final] ).
cnf(c_0_2776,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
c_0_2214,
[final] ).
cnf(c_0_2777,plain,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
c_0_2215,
[final] ).
cnf(c_0_2778,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2216,
[final] ).
cnf(c_0_2779,plain,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
c_0_2217,
[final] ).
cnf(c_0_2780,plain,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
c_0_2218,
[final] ).
cnf(c_0_2781,plain,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
c_0_2219,
[final] ).
cnf(c_0_2782,plain,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
c_0_2220,
[final] ).
cnf(c_0_2783,plain,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
c_0_2221,
[final] ).
cnf(c_0_2784,plain,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
c_0_2222,
[final] ).
cnf(c_0_2785,plain,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
c_0_2223,
[final] ).
cnf(c_0_2786,plain,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
c_0_2224,
[final] ).
cnf(c_0_2787,plain,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
c_0_2225,
[final] ).
cnf(c_0_2788,plain,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
c_0_2226,
[final] ).
cnf(c_0_2789,plain,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
c_0_2227,
[final] ).
cnf(c_0_2790,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
c_0_2228,
[final] ).
cnf(c_0_2791,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
c_0_2229,
[final] ).
cnf(c_0_2792,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
c_0_2230,
[final] ).
cnf(c_0_2793,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
c_0_2231,
[final] ).
cnf(c_0_2794,plain,
class_HOL_Oord(tc_bool),
c_0_2232,
[final] ).
cnf(c_0_2795,plain,
class_Orderings_Otop(tc_bool),
c_0_2233,
[final] ).
cnf(c_0_2796,plain,
class_Orderings_Oorder(tc_bool),
c_0_2234,
[final] ).
cnf(c_0_2797,plain,
class_Lattices_Olattice(tc_bool),
c_0_2235,
[final] ).
cnf(c_0_2798,plain,
class_Orderings_Opreorder(tc_bool),
c_0_2236,
[final] ).
cnf(c_0_2799,plain,
class_Lattices_Oboolean__algebra(tc_bool),
c_0_2237,
[final] ).
cnf(c_0_2800,plain,
class_Lattices_Obounded__lattice(tc_bool),
c_0_2238,
[final] ).
cnf(c_0_2801,plain,
class_Lattices_Oupper__semilattice(tc_bool),
c_0_2239,
[final] ).
cnf(c_0_2802,plain,
class_HOL_Oord(tc_nat),
c_0_2240,
[final] ).
cnf(c_0_2803,plain,
class_Orderings_Oorder(tc_nat),
c_0_2241,
[final] ).
cnf(c_0_2804,plain,
class_Lattices_Olattice(tc_nat),
c_0_2242,
[final] ).
cnf(c_0_2805,plain,
class_Orderings_Olinorder(tc_nat),
c_0_2243,
[final] ).
cnf(c_0_2806,plain,
class_Orderings_Opreorder(tc_nat),
c_0_2244,
[final] ).
cnf(c_0_2807,plain,
class_Lattices_Oupper__semilattice(tc_nat),
c_0_2245,
[final] ).
cnf(c_0_2808,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_2246,
[final] ).
cnf(c_0_2809,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
c_0_2247,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_2248_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2248]) ).
cnf(c_0_2248_1,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2248]) ).
cnf(c_0_2248_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2248]) ).
cnf(c_0_2248_3,axiom,
( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2248]) ).
cnf(c_0_2248_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2248]) ).
cnf(c_0_2249_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2249]) ).
cnf(c_0_2249_1,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2249]) ).
cnf(c_0_2249_2,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2249]) ).
cnf(c_0_2249_3,axiom,
( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2249]) ).
cnf(c_0_2249_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X4)))))))),X1,tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2249]) ).
cnf(c_0_2250_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2250]) ).
cnf(c_0_2250_1,axiom,
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2250]) ).
cnf(c_0_2250_2,axiom,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2250]) ).
cnf(c_0_2250_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2250]) ).
cnf(c_0_2250_4,axiom,
( ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2250]) ).
cnf(c_0_2250_5,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X4,X2,X5),hAPP(c_Message_Omsg_OKey,X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2250]) ).
cnf(c_0_2251_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2251]) ).
cnf(c_0_2251_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2251]) ).
cnf(c_0_2251_2,axiom,
( c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2251]) ).
cnf(c_0_2251_3,axiom,
( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2251]) ).
cnf(c_0_2251_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2251]) ).
cnf(c_0_2251_5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X4,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_ONonce(X6)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2251]) ).
cnf(c_0_2252_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2252]) ).
cnf(c_0_2252_1,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2252]) ).
cnf(c_0_2252_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2252]) ).
cnf(c_0_2252_3,axiom,
( ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X3,X1,X2,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2252]) ).
cnf(c_0_2253_0,axiom,
( c_in(X3,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2253]) ).
cnf(c_0_2253_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X3,X2,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2253]) ).
cnf(c_0_2253_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X3,X2,tc_nat)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2253]) ).
cnf(c_0_2253_3,axiom,
( ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X3,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2253]) ).
cnf(c_0_2253_4,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X3,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2253]) ).
cnf(c_0_2254_0,axiom,
( X5 = X10
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2254]) ).
cnf(c_0_2254_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X5 = X10
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2254]) ).
cnf(c_0_2254_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X5 = X10
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2254]) ).
cnf(c_0_2254_3,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X5 = X10 ),
inference(literals_permutation,[status(thm)],[c_0_2254]) ).
cnf(c_0_2255_0,axiom,
( X3 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2255]) ).
cnf(c_0_2255_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X3 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2255]) ).
cnf(c_0_2255_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X3 = X9
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2255]) ).
cnf(c_0_2255_3,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X3 = X9 ),
inference(literals_permutation,[status(thm)],[c_0_2255]) ).
cnf(c_0_2256_0,axiom,
( X2 = X8
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2256]) ).
cnf(c_0_2256_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X2 = X8
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2256]) ).
cnf(c_0_2256_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X2 = X8
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2256]) ).
cnf(c_0_2256_3,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X2 = X8 ),
inference(literals_permutation,[status(thm)],[c_0_2256]) ).
cnf(c_0_2257_0,axiom,
( X1 = X7
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2257]) ).
cnf(c_0_2257_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X1 = X7
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2257]) ).
cnf(c_0_2257_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X1 = X7
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2257]) ).
cnf(c_0_2257_3,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X10))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| X1 = X7 ),
inference(literals_permutation,[status(thm)],[c_0_2257]) ).
cnf(c_0_2258_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2258]) ).
cnf(c_0_2258_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2258]) ).
cnf(c_0_2258_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2258]) ).
cnf(c_0_2259_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2259]) ).
cnf(c_0_2259_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2259]) ).
cnf(c_0_2259_2,axiom,
( ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2259]) ).
cnf(c_0_2259_3,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2259]) ).
cnf(c_0_2260_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2260]) ).
cnf(c_0_2260_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2260]) ).
cnf(c_0_2260_2,axiom,
( ~ c_in(X1,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2260]) ).
cnf(c_0_2261_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X3,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2261]) ).
cnf(c_0_2261_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X3,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2261]) ).
cnf(c_0_2261_2,axiom,
( ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X3,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2261]) ).
cnf(c_0_2261_3,axiom,
( ~ c_in(X3,X2,tc_nat)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_bool))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2261]) ).
cnf(c_0_2262_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2262]) ).
cnf(c_0_2262_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2262]) ).
cnf(c_0_2262_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2262]) ).
cnf(c_0_2262_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2262]) ).
cnf(c_0_2263_0,axiom,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2263]) ).
cnf(c_0_2263_1,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2263]) ).
cnf(c_0_2263_2,axiom,
( c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2263]) ).
cnf(c_0_2263_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2263]) ).
cnf(c_0_2263_4,axiom,
( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2263]) ).
cnf(c_0_2263_5,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X5,X3,X7),hAPP(c_Message_Omsg_OKey,X5)))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2263]) ).
cnf(c_0_2264_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2264]) ).
cnf(c_0_2264_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2264]) ).
cnf(c_0_2264_2,axiom,
( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2264]) ).
cnf(c_0_2264_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2264]) ).
cnf(c_0_2264_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2264]) ).
cnf(c_0_2265_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2265]) ).
cnf(c_0_2265_1,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2265]) ).
cnf(c_0_2265_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2265]) ).
cnf(c_0_2265_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),hAPP(c_Message_Omsg_OKey,X4)))),X1,tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2265]) ).
cnf(c_0_2266_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2266]) ).
cnf(c_0_2266_1,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2266]) ).
cnf(c_0_2266_2,axiom,
( ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2266]) ).
cnf(c_0_2266_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2266]) ).
cnf(c_0_2266_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X9))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X5))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X4,X8,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_ONonce(X5)))),X1,tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2266]) ).
cnf(c_0_2267_0,axiom,
( X2 = c_Message_Oagent_OServer
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2267]) ).
cnf(c_0_2267_1,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2267]) ).
cnf(c_0_2267_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2267]) ).
cnf(c_0_2267_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2267]) ).
cnf(c_0_2267_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_2267]) ).
cnf(c_0_2268_0,axiom,
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2268]) ).
cnf(c_0_2268_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2268]) ).
cnf(c_0_2268_2,axiom,
( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2268]) ).
cnf(c_0_2268_3,axiom,
( ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2268]) ).
cnf(c_0_2269_0,axiom,
( X2 = c_Message_Oagent_OServer
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2269]) ).
cnf(c_0_2269_1,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2269]) ).
cnf(c_0_2269_2,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2269]) ).
cnf(c_0_2269_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2269]) ).
cnf(c_0_2269_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X2,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X3,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X5,X7),X1,tc_Event_Oevent))
| X2 = c_Message_Oagent_OServer ),
inference(literals_permutation,[status(thm)],[c_0_2269]) ).
cnf(c_0_2270_0,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2270]) ).
cnf(c_0_2270_1,axiom,
( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2270]) ).
cnf(c_0_2270_2,axiom,
( ~ c_in(X5,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2270]) ).
cnf(c_0_2271_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2271]) ).
cnf(c_0_2271_1,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2271]) ).
cnf(c_0_2271_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2271]) ).
cnf(c_0_2271_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2271]) ).
cnf(c_0_2271_4,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X5,X6,X1),X5,X6),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2271]) ).
cnf(c_0_2272_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2272]) ).
cnf(c_0_2272_1,axiom,
( c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2272]) ).
cnf(c_0_2272_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2272]) ).
cnf(c_0_2272_3,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2272]) ).
cnf(c_0_2272_4,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X6))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OSays(X5,X3,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_ONonce(X7))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2272]) ).
cnf(c_0_2273_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2273]) ).
cnf(c_0_2273_1,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2273]) ).
cnf(c_0_2273_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2273]) ).
cnf(c_0_2273_3,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2273]) ).
cnf(c_0_2274_0,axiom,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2274_1,axiom,
( c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2274_2,axiom,
( c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2274_3,axiom,
( c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2274_4,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2274_5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2274_6,axiom,
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X1,X5,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2274]) ).
cnf(c_0_2275_0,axiom,
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2275]) ).
cnf(c_0_2275_1,axiom,
( c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2275]) ).
cnf(c_0_2275_2,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2)))
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2275]) ).
cnf(c_0_2275_3,axiom,
( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X7)),tc_Message_Omsg)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X2))) ),
inference(literals_permutation,[status(thm)],[c_0_2275]) ).
cnf(c_0_2276_0,axiom,
( X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2276]) ).
cnf(c_0_2276_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1)))
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2276]) ).
cnf(c_0_2276_2,axiom,
( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| X6 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),c_Message_Omsg_OAgent(X1))) ),
inference(literals_permutation,[status(thm)],[c_0_2276]) ).
cnf(c_0_2277_0,axiom,
( X2 = hAPP(c_Public_OshrK,X1)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2277]) ).
cnf(c_0_2277_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| X2 = hAPP(c_Public_OshrK,X1)
| ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2277]) ).
cnf(c_0_2277_2,axiom,
( ~ c_in(X7,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X7,tc_Event_Oevent),tc_Event_Oevent)
| X2 = hAPP(c_Public_OshrK,X1) ),
inference(literals_permutation,[status(thm)],[c_0_2277]) ).
cnf(c_0_2278_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2278]) ).
cnf(c_0_2278_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2278]) ).
cnf(c_0_2278_2,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2278]) ).
cnf(c_0_2278_3,axiom,
( ~ c_in(X4,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2278]) ).
cnf(c_0_2279_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2279]) ).
cnf(c_0_2279_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X3,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2279]) ).
cnf(c_0_2279_2,axiom,
( ~ c_in(X1,X3,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2279]) ).
cnf(c_0_2280_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2280]) ).
cnf(c_0_2280_1,axiom,
( ~ c_in(X1,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2280]) ).
cnf(c_0_2280_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2280]) ).
cnf(c_0_2281_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2281]) ).
cnf(c_0_2281_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2281]) ).
cnf(c_0_2282_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2282]) ).
cnf(c_0_2282_1,axiom,
( ~ c_in(X1,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2282]) ).
cnf(c_0_2283_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2283_1,axiom,
( c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2283_2,axiom,
( c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2283_3,axiom,
( c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2283_4,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2283_5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2283_6,axiom,
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X6,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_ONonce(X2)),X3)
| c_in(X6,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2283]) ).
cnf(c_0_2284_0,axiom,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2284_1,axiom,
( c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2284_2,axiom,
( c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2284_3,axiom,
( c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2284_4,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2284_5,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2284_6,axiom,
( ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(X5,X4,c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X1,X3),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X1,X3),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2284]) ).
cnf(c_0_2285_0,axiom,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2285]) ).
cnf(c_0_2285_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X4,tc_fun(X2,tc_bool)),X2,X3),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X4,X2,X3),tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2285]) ).
cnf(c_0_2286_0,axiom,
( c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2286]) ).
cnf(c_0_2286_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2286]) ).
cnf(c_0_2286_2,axiom,
( ~ c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2286]) ).
cnf(c_0_2287_0,axiom,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2287]) ).
cnf(c_0_2287_1,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2287]) ).
cnf(c_0_2287_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2287]) ).
cnf(c_0_2287_3,axiom,
( ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2287]) ).
cnf(c_0_2287_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2287]) ).
cnf(c_0_2288_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2288]) ).
cnf(c_0_2288_1,axiom,
( X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2288]) ).
cnf(c_0_2288_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2288]) ).
cnf(c_0_2288_3,axiom,
( ~ c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| X5 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X1)))
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2288]) ).
cnf(c_0_2289_0,axiom,
( c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2289]) ).
cnf(c_0_2289_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2289]) ).
cnf(c_0_2290_0,axiom,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2290]) ).
cnf(c_0_2290_1,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2290]) ).
cnf(c_0_2290_2,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2290]) ).
cnf(c_0_2290_3,axiom,
( ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2290]) ).
cnf(c_0_2290_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X6)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X5,X6,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),X1,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2290]) ).
cnf(c_0_2291_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2291]) ).
cnf(c_0_2291_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2291]) ).
cnf(c_0_2291_2,axiom,
( ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_lessequals(c_Set_Oimage(X1,X4,X2,X3),c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2291]) ).
cnf(c_0_2292_0,axiom,
( c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2292]) ).
cnf(c_0_2292_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2292]) ).
cnf(c_0_2292_2,axiom,
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2292]) ).
cnf(c_0_2292_3,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X4),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2292]) ).
cnf(c_0_2293_0,axiom,
( c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2293]) ).
cnf(c_0_2293_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,X7))))),c_List_Oset(X8,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X7,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X8)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2293]) ).
cnf(c_0_2294_0,axiom,
( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| X3 = X2
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2294]) ).
cnf(c_0_2294_1,axiom,
( X3 = X2
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2294]) ).
cnf(c_0_2294_2,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| X3 = X2
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2294]) ).
cnf(c_0_2294_3,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| X3 = X2
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2294]) ).
cnf(c_0_2294_4,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| X3 = X2
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2294]) ).
cnf(c_0_2295_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2295]) ).
cnf(c_0_2295_1,axiom,
( ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4)
| c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2295]) ).
cnf(c_0_2296_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2296]) ).
cnf(c_0_2296_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X5,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2296]) ).
cnf(c_0_2297_0,axiom,
( hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X4,X3)) = X1
| ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2297]) ).
cnf(c_0_2297_1,axiom,
( ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)
| hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X4,X3)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2297]) ).
cnf(c_0_2300_0,axiom,
( c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2300]) ).
cnf(c_0_2300_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(X4,X5,X2)
| ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2300]) ).
cnf(c_0_2300_2,axiom,
( ~ c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2300]) ).
cnf(c_0_2301_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2301]) ).
cnf(c_0_2301_1,axiom,
( ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2301]) ).
cnf(c_0_2301_2,axiom,
( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
| ~ c_Fun_Oinj__on(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2301]) ).
cnf(c_0_2302_0,axiom,
( c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2302]) ).
cnf(c_0_2302_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2302]) ).
cnf(c_0_2302_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2302]) ).
cnf(c_0_2302_3,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X2,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2302]) ).
cnf(c_0_2303_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2303]) ).
cnf(c_0_2303_1,axiom,
( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2
| c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2303]) ).
cnf(c_0_2303_2,axiom,
( c_Set_Oimage(X3,X1,X4,X5) != c_Set_Oimage(X3,X2,X4,X5)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2303]) ).
cnf(c_0_2304_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2304]) ).
cnf(c_0_2304_1,axiom,
( c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2304]) ).
cnf(c_0_2304_2,axiom,
( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2304]) ).
cnf(c_0_2305_0,axiom,
( c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2305]) ).
cnf(c_0_2305_1,axiom,
( ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2305]) ).
cnf(c_0_2306_0,axiom,
( c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2306]) ).
cnf(c_0_2306_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oimage(X4,X1,X3,X5),c_Set_Oimage(X4,X2,X3,X5),tc_fun(X5,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2306]) ).
cnf(c_0_2307_0,axiom,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2307]) ).
cnf(c_0_2307_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2307]) ).
cnf(c_0_2308_0,axiom,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_in(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2308]) ).
cnf(c_0_2308_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3)
| ~ c_in(X4,X5,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2308]) ).
cnf(c_0_2308_2,axiom,
( ~ c_in(X4,X5,X2)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_in(hAPP(X1,X4),c_Set_Oimage(X1,X5,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2308]) ).
cnf(c_0_2309_0,axiom,
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2309]) ).
cnf(c_0_2309_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2309]) ).
cnf(c_0_2310_0,axiom,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2310]) ).
cnf(c_0_2310_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2310]) ).
cnf(c_0_2311_0,axiom,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2311]) ).
cnf(c_0_2311_1,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2311]) ).
cnf(c_0_2311_2,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2311]) ).
cnf(c_0_2312_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2312]) ).
cnf(c_0_2312_1,axiom,
( ~ c_in(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2312]) ).
cnf(c_0_2313_0,axiom,
( c_in(hAPP(X1,X6),X5,X4)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| ~ c_in(X6,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2313]) ).
cnf(c_0_2313_1,axiom,
( ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(hAPP(X1,X6),X5,X4)
| ~ c_in(X6,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2313]) ).
cnf(c_0_2313_2,axiom,
( ~ c_in(X6,X2,X3)
| ~ c_lessequals(c_Set_Oimage(X1,X2,X3,X4),X5,tc_fun(X4,tc_bool))
| c_in(hAPP(X1,X6),X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2313]) ).
cnf(c_0_2314_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2314]) ).
cnf(c_0_2314_1,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2314]) ).
cnf(c_0_2314_2,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2314]) ).
cnf(c_0_2314_3,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2314]) ).
cnf(c_0_2314_4,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2314]) ).
cnf(c_0_2314_5,axiom,
( ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2314]) ).
cnf(c_0_2316_0,axiom,
( c_in(X2,X4,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2316]) ).
cnf(c_0_2316_1,axiom,
( ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat)
| c_in(X2,X4,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2316]) ).
cnf(c_0_2319_0,axiom,
( c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2319]) ).
cnf(c_0_2319_1,axiom,
( ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2319]) ).
cnf(c_0_2319_2,axiom,
( ~ c_lessequals(c_Message_Oanalz(X3),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2319]) ).
cnf(c_0_2320_0,axiom,
( c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2320]) ).
cnf(c_0_2320_1,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2320]) ).
cnf(c_0_2320_2,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X3,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_ONonce(X2)))),X1,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X2),c_Event_Oused(X1),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2320]) ).
cnf(c_0_2321_0,axiom,
( c_in(X1,X2,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2321]) ).
cnf(c_0_2321_1,axiom,
( ~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
| c_in(X1,X2,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2321]) ).
cnf(c_0_2322_0,axiom,
( c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2322]) ).
cnf(c_0_2322_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| c_in(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2322]) ).
cnf(c_0_2323_0,axiom,
( X1 = X3
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2323]) ).
cnf(c_0_2323_1,axiom,
( ~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat)
| X1 = X3 ),
inference(literals_permutation,[status(thm)],[c_0_2323]) ).
cnf(c_0_2326_0,axiom,
( c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2326]) ).
cnf(c_0_2326_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) = c_Set_Oimage(X4,X2,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2326]) ).
cnf(c_0_2329_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2329]) ).
cnf(c_0_2329_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2329]) ).
cnf(c_0_2330_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2330]) ).
cnf(c_0_2330_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X4,tc_Event_Oevent))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2330]) ).
cnf(c_0_2332_0,axiom,
( c_Fun_Oinj__on(X1,X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2332]) ).
cnf(c_0_2332_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Fun_Oinj__on(X1,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2332]) ).
cnf(c_0_2333_0,axiom,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2333]) ).
cnf(c_0_2333_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2333]) ).
cnf(c_0_2336_0,axiom,
( c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2336]) ).
cnf(c_0_2336_1,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2336]) ).
cnf(c_0_2336_2,axiom,
( ~ c_in(X2,c_Message_Oparts(X4),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2336]) ).
cnf(c_0_2339_0,axiom,
( c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2339]) ).
cnf(c_0_2339_1,axiom,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_2339]) ).
cnf(c_0_2340_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2340]) ).
cnf(c_0_2340_1,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X4,X3),X3),X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2340]) ).
cnf(c_0_2341_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2341]) ).
cnf(c_0_2341_1,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X4,c_List_Olist_OCons(X1,X2,X3),X3),X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2341]) ).
cnf(c_0_2342_0,axiom,
( X2 = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2342]) ).
cnf(c_0_2342_1,axiom,
( c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2342]) ).
cnf(c_0_2342_2,axiom,
( c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2342]) ).
cnf(c_0_2342_3,axiom,
( c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2342]) ).
cnf(c_0_2342_4,axiom,
( c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2342]) ).
cnf(c_0_2342_5,axiom,
( ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_2342]) ).
cnf(c_0_2343_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2343]) ).
cnf(c_0_2343_1,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2343]) ).
cnf(c_0_2343_2,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2343]) ).
cnf(c_0_2344_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2344]) ).
cnf(c_0_2344_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2344]) ).
cnf(c_0_2344_2,axiom,
( ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2344]) ).
cnf(c_0_2344_3,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2344]) ).
cnf(c_0_2346_0,axiom,
( c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2346]) ).
cnf(c_0_2346_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4)
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2346]) ).
cnf(c_0_2346_2,axiom,
( ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| c_Fun_Oinj__on(X1,X5,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2346]) ).
cnf(c_0_2351_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2351]) ).
cnf(c_0_2351_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2351]) ).
cnf(c_0_2351_2,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2351]) ).
cnf(c_0_2353_0,axiom,
( c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,X2,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2353]) ).
cnf(c_0_2353_1,axiom,
( ~ c_in(X1,X2,tc_Message_Oagent)
| c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X3),X2,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2353]) ).
cnf(c_0_2354_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2354]) ).
cnf(c_0_2354_1,axiom,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2354]) ).
cnf(c_0_2354_2,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2354]) ).
cnf(c_0_2355_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2355]) ).
cnf(c_0_2355_1,axiom,
( ~ c_in(X2,X3,X4)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2355]) ).
cnf(c_0_2356_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2356]) ).
cnf(c_0_2356_1,axiom,
( ~ c_in(X2,X3,X4)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2356]) ).
cnf(c_0_2357_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2357]) ).
cnf(c_0_2357_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2357]) ).
cnf(c_0_2358_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2358]) ).
cnf(c_0_2358_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_2358]) ).
cnf(c_0_2359_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2359]) ).
cnf(c_0_2359_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2359]) ).
cnf(c_0_2359_2,axiom,
( ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2359]) ).
cnf(c_0_2359_3,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2359]) ).
cnf(c_0_2360_0,axiom,
( c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X1,X2,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2360]) ).
cnf(c_0_2360_1,axiom,
( ~ c_in(X1,X2,tc_Message_Oagent)
| c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OshrK,X2,tc_Message_Oagent,tc_nat),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2360]) ).
cnf(c_0_2361_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2361]) ).
cnf(c_0_2361_1,axiom,
( ~ c_in(X1,X2,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2361]) ).
cnf(c_0_2362_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2362]) ).
cnf(c_0_2362_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2362]) ).
cnf(c_0_2362_2,axiom,
( ~ c_lessequals(X4,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2362]) ).
cnf(c_0_2363_0,axiom,
( X1 = X4
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2363]) ).
cnf(c_0_2363_1,axiom,
( ~ c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X4,X2,X3)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2363]) ).
cnf(c_0_2363_2,axiom,
( ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2363]) ).
cnf(c_0_2363_3,axiom,
( ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4
| hAPP(X5,X1) != hAPP(X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2363]) ).
cnf(c_0_2363_4,axiom,
( hAPP(X5,X1) != hAPP(X5,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X6)
| ~ c_in(X4,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2363]) ).
cnf(c_0_2364_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2364]) ).
cnf(c_0_2364_1,axiom,
( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2364]) ).
cnf(c_0_2364_2,axiom,
( ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2364]) ).
cnf(c_0_2364_3,axiom,
( ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2364]) ).
cnf(c_0_2364_4,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2364]) ).
cnf(c_0_2365_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2365]) ).
cnf(c_0_2365_1,axiom,
( ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X1,X4,X5)
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2365]) ).
cnf(c_0_2365_2,axiom,
( ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| ~ c_in(X2,X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2365]) ).
cnf(c_0_2365_3,axiom,
( ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2365]) ).
cnf(c_0_2365_4,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_in(X2,X4,X5)
| ~ c_in(X1,X4,X5)
| ~ c_Fun_Oinj__on(X3,X4,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2365]) ).
cnf(c_0_2366_0,axiom,
( X5 = X6
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2366]) ).
cnf(c_0_2366_1,axiom,
( ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| ~ c_in(X5,X2,X3)
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2366]) ).
cnf(c_0_2366_2,axiom,
( ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| ~ c_in(X6,X2,X3)
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2366]) ).
cnf(c_0_2366_3,axiom,
( ~ c_in(X6,X2,X3)
| ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6
| hAPP(X1,X5) != hAPP(X1,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2366]) ).
cnf(c_0_2366_4,axiom,
( hAPP(X1,X5) != hAPP(X1,X6)
| ~ c_in(X6,X2,X3)
| ~ c_in(X5,X2,X3)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| X5 = X6 ),
inference(literals_permutation,[status(thm)],[c_0_2366]) ).
cnf(c_0_2367_0,axiom,
( c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2367]) ).
cnf(c_0_2367_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) ),
inference(literals_permutation,[status(thm)],[c_0_2367]) ).
cnf(c_0_2368_0,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2368]) ).
cnf(c_0_2368_1,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2368]) ).
cnf(c_0_2369_0,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2369]) ).
cnf(c_0_2369_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2369]) ).
cnf(c_0_2370_0,axiom,
( hBOOL(hAPP(X1,X4))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2370]) ).
cnf(c_0_2370_1,axiom,
( hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X1,X4))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2370]) ).
cnf(c_0_2370_2,axiom,
( ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| hBOOL(hAPP(X2,X4))
| hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2370]) ).
cnf(c_0_2371_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2371]) ).
cnf(c_0_2371_1,axiom,
( ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2371]) ).
cnf(c_0_2371_2,axiom,
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X2),X1,tc_Event_Oevent)) ),
inference(literals_permutation,[status(thm)],[c_0_2371]) ).
cnf(c_0_2372_0,axiom,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2372]) ).
cnf(c_0_2372_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2372]) ).
cnf(c_0_2372_2,axiom,
( ~ c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2372]) ).
cnf(c_0_2373_0,axiom,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2373]) ).
cnf(c_0_2373_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2373]) ).
cnf(c_0_2373_2,axiom,
( ~ c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2373]) ).
cnf(c_0_2374_0,axiom,
( X1 = X2
| c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2374]) ).
cnf(c_0_2374_1,axiom,
( c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2374]) ).
cnf(c_0_2375_0,axiom,
( X1 = X2
| c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2375]) ).
cnf(c_0_2375_1,axiom,
( c_List_Oappend(X1,c_List_Olist_OCons(X3,c_List_Olist_ONil(X4),X4),X4) != c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X4),X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2375]) ).
cnf(c_0_2376_0,axiom,
( X1 = X2
| c_in(X1,c_List_Oset(X3,X4),X4)
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2376]) ).
cnf(c_0_2376_1,axiom,
( c_in(X1,c_List_Oset(X3,X4),X4)
| X1 = X2
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2376]) ).
cnf(c_0_2376_2,axiom,
( ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X2,X3,X4),X4),X4)
| c_in(X1,c_List_Oset(X3,X4),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2376]) ).
cnf(c_0_2381_0,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2381]) ).
cnf(c_0_2381_1,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X3,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2381]) ).
cnf(c_0_2383_0,axiom,
( X1 = X2
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2383]) ).
cnf(c_0_2383_1,axiom,
( ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2
| hAPP(X3,X1) != hAPP(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2383]) ).
cnf(c_0_2383_2,axiom,
( hAPP(X3,X1) != hAPP(X3,X2)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2383]) ).
cnf(c_0_2384_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2384]) ).
cnf(c_0_2384_1,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2384]) ).
cnf(c_0_2384_2,axiom,
( ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2384]) ).
cnf(c_0_2384_3,axiom,
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_nat)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2384]) ).
cnf(c_0_2385_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2385]) ).
cnf(c_0_2385_1,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X2)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2385]) ).
cnf(c_0_2386_0,axiom,
( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2386]) ).
cnf(c_0_2386_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2386]) ).
cnf(c_0_2386_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2386]) ).
cnf(c_0_2386_3,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2386]) ).
cnf(c_0_2387_0,axiom,
( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2387]) ).
cnf(c_0_2387_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2387]) ).
cnf(c_0_2387_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2387]) ).
cnf(c_0_2387_3,axiom,
( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2387]) ).
cnf(c_0_2388_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2388]) ).
cnf(c_0_2388_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2388]) ).
cnf(c_0_2388_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2388]) ).
cnf(c_0_2389_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2389]) ).
cnf(c_0_2389_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2389]) ).
cnf(c_0_2389_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2389]) ).
cnf(c_0_2391_0,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2391]) ).
cnf(c_0_2391_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2391]) ).
cnf(c_0_2391_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2391]) ).
cnf(c_0_2392_0,axiom,
( c_in(c_List_Oappend(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2392]) ).
cnf(c_0_2392_1,axiom,
( ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(c_List_Oappend(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2392]) ).
cnf(c_0_2392_2,axiom,
( ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(c_List_Oappend(X1,X4,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2392]) ).
cnf(c_0_2393_0,axiom,
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2393]) ).
cnf(c_0_2393_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2393]) ).
cnf(c_0_2393_2,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2393]) ).
cnf(c_0_2401_0,axiom,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2401]) ).
cnf(c_0_2401_1,axiom,
( ~ c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2401]) ).
cnf(c_0_2402_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2402]) ).
cnf(c_0_2402_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2402]) ).
cnf(c_0_2403_0,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2403]) ).
cnf(c_0_2403_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2403]) ).
cnf(c_0_2404_0,axiom,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2404]) ).
cnf(c_0_2404_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2404]) ).
cnf(c_0_2407_0,axiom,
( c_in(X1,X2,X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2407]) ).
cnf(c_0_2407_1,axiom,
( c_in(X1,X3,X4)
| c_in(X1,X2,X4)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2407]) ).
cnf(c_0_2407_2,axiom,
( ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| c_in(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2407]) ).
cnf(c_0_2410_0,axiom,
( c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2410]) ).
cnf(c_0_2410_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))
| c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2410]) ).
cnf(c_0_2411_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2411]) ).
cnf(c_0_2411_1,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2411]) ).
cnf(c_0_2411_2,axiom,
( ~ c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2411]) ).
cnf(c_0_2412_0,axiom,
( c_in(X2,X1,X4)
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2412]) ).
cnf(c_0_2412_1,axiom,
( c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2412]) ).
cnf(c_0_2412_2,axiom,
( ~ c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2412]) ).
cnf(c_0_2413_0,axiom,
( X1 = X4
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2413_1,axiom,
( hBOOL(hAPP(X2,X4))
| X1 = X4
| ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2413_2,axiom,
( ~ hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| hBOOL(hAPP(X2,X4))
| X1 = X4 ),
inference(literals_permutation,[status(thm)],[c_0_2413]) ).
cnf(c_0_2414_0,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2414_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2414_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2414]) ).
cnf(c_0_2415_0,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2415_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2415_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2415]) ).
cnf(c_0_2416_0,axiom,
( c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2416]) ).
cnf(c_0_2416_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Oinsert(X4,X1,X3),c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2416]) ).
cnf(c_0_2421_0,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2421]) ).
cnf(c_0_2421_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2421]) ).
cnf(c_0_2421_2,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2421]) ).
cnf(c_0_2421_3,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2421]) ).
cnf(c_0_2427_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2427_1,axiom,
( ~ c_in(X1,X2,X3)
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2427_2,axiom,
( ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2427]) ).
cnf(c_0_2428_0,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2428]) ).
cnf(c_0_2428_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2428]) ).
cnf(c_0_2429_0,axiom,
( c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2429]) ).
cnf(c_0_2429_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2429]) ).
cnf(c_0_2430_0,axiom,
( c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2430]) ).
cnf(c_0_2430_1,axiom,
( ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| c_in(X2,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2430]) ).
cnf(c_0_2431_0,axiom,
( c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2431]) ).
cnf(c_0_2431_1,axiom,
( ~ c_in(c_List_Oappend(X1,X2,X3),c_List_Olists(X4,X3),tc_List_Olist(X3))
| c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_2431]) ).
cnf(c_0_2434_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2434]) ).
cnf(c_0_2434_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2434]) ).
cnf(c_0_2435_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2435]) ).
cnf(c_0_2435_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2435]) ).
cnf(c_0_2436_0,axiom,
( c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2436]) ).
cnf(c_0_2436_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2436]) ).
cnf(c_0_2437_0,axiom,
( c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2437_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2437]) ).
cnf(c_0_2438_0,axiom,
( c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2438_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2438]) ).
cnf(c_0_2439_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_1,axiom,
( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2439_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2439]) ).
cnf(c_0_2440_0,axiom,
( c_in(X1,X2,X3)
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2440_1,axiom,
( c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2440_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| c_lessequals(X2,c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2440]) ).
cnf(c_0_2441_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2441_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2441]) ).
cnf(c_0_2442_0,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2442_1,axiom,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2442]) ).
cnf(c_0_2443_0,axiom,
( c_in(X3,c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2443]) ).
cnf(c_0_2443_1,axiom,
( ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X3,c_Event_Oused(X4),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2443]) ).
cnf(c_0_2444_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2444]) ).
cnf(c_0_2444_1,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X1))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2444]) ).
cnf(c_0_2445_0,axiom,
( c_in(X1,X4,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2445_1,axiom,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2445]) ).
cnf(c_0_2446_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2446_2,axiom,
( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2446]) ).
cnf(c_0_2447_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_1,axiom,
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2447_2,axiom,
( ~ c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2447]) ).
cnf(c_0_2448_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2448]) ).
cnf(c_0_2448_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2448]) ).
cnf(c_0_2449_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2449]) ).
cnf(c_0_2449_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2449]) ).
cnf(c_0_2451_0,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2451]) ).
cnf(c_0_2451_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2451]) ).
cnf(c_0_2451_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2451]) ).
cnf(c_0_2452_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2452_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2452_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2452_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2452]) ).
cnf(c_0_2453_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2453_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2453_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2453_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2453]) ).
cnf(c_0_2454_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2454_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2454_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2454_3,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2454]) ).
cnf(c_0_2455_0,axiom,
( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2455]) ).
cnf(c_0_2455_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2455]) ).
cnf(c_0_2456_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2456_1,axiom,
( c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2456]) ).
cnf(c_0_2458_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2458_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2458]) ).
cnf(c_0_2459_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2459_1,axiom,
( ~ class_Lattices_Olattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2459]) ).
cnf(c_0_2460_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2460]) ).
cnf(c_0_2460_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X4)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2460]) ).
cnf(c_0_2461_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2461]) ).
cnf(c_0_2461_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2461]) ).
cnf(c_0_2462_0,axiom,
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
| c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2462_1,axiom,
( c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X2) != c_Message_Oanalz(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2462_2,axiom,
( c_Message_Oanalz(X2) != c_Message_Oanalz(X4)
| c_Message_Oanalz(X1) != c_Message_Oanalz(X3)
| c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X4,tc_fun(tc_Message_Omsg,tc_bool))) ),
inference(literals_permutation,[status(thm)],[c_0_2462]) ).
cnf(c_0_2463_0,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2463_1,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2463]) ).
cnf(c_0_2464_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2464_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3)
| ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2464_2,axiom,
( ~ c_lessequals(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) = c_Message_Oanalz(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2464]) ).
cnf(c_0_2465_0,axiom,
( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2465_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2465_2,axiom,
( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2465]) ).
cnf(c_0_2475_0,axiom,
( c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2475_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2475_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2475]) ).
cnf(c_0_2476_0,axiom,
( c_in(X4,X2,X3)
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2476]) ).
cnf(c_0_2476_1,axiom,
( ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(X4,X2,X3)
| ~ c_in(X4,c_List_Oset(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2476]) ).
cnf(c_0_2476_2,axiom,
( ~ c_in(X4,c_List_Oset(X1,X3),X3)
| ~ c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2476]) ).
cnf(c_0_2477_0,axiom,
( c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2477_1,axiom,
( ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2477_2,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2477]) ).
cnf(c_0_2478_0,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2478_1,axiom,
( ~ c_in(X1,c_List_Oset(X2,X3),X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2478]) ).
cnf(c_0_2479_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2479_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2479]) ).
cnf(c_0_2480_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2480_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2480_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2480]) ).
cnf(c_0_2481_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2481_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2481_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2481]) ).
cnf(c_0_2482_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2482_1,axiom,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2482_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2482]) ).
cnf(c_0_2484_0,axiom,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2484_1,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2484_2,axiom,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2484]) ).
cnf(c_0_2485_0,axiom,
( c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat)
| c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2485]) ).
cnf(c_0_2485_1,axiom,
( c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oanalz(X2)),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2485]) ).
cnf(c_0_2487_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2487_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2487]) ).
cnf(c_0_2488_0,axiom,
( c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2488_1,axiom,
( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2488_2,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X3),X2,tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2488]) ).
cnf(c_0_2489_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist__inter(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2489]) ).
cnf(c_0_2489_1,axiom,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X4,X3),X2,X3) = c_List_Olist__inter(X4,X2,X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2489]) ).
cnf(c_0_2490_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2490]) ).
cnf(c_0_2490_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2490]) ).
cnf(c_0_2491_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2491_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2491]) ).
cnf(c_0_2492_0,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2))
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2492_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2492]) ).
cnf(c_0_2493_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2493_1,axiom,
( c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2493_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2493]) ).
cnf(c_0_2494_0,axiom,
( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2494_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2494_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2494]) ).
cnf(c_0_2495_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_1,axiom,
( c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2495_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2495]) ).
cnf(c_0_2496_0,axiom,
( ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2496]) ).
cnf(c_0_2496_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2496]) ).
cnf(c_0_2497_0,axiom,
( X1 = X2
| c_in(X3,X1,X4)
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2497_1,axiom,
( c_in(X3,X1,X4)
| X1 = X2
| c_in(X3,X2,X4)
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2497_2,axiom,
( c_in(X3,X2,X4)
| c_in(X3,X1,X4)
| X1 = X2
| c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2497_3,axiom,
( c_Set_Oinsert(X3,X1,X4) != c_Set_Oinsert(X3,X2,X4)
| c_in(X3,X2,X4)
| c_in(X3,X1,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2497]) ).
cnf(c_0_2498_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2498]) ).
cnf(c_0_2498_1,axiom,
( c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3) = c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2498]) ).
cnf(c_0_2499_0,axiom,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2499_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2499_2,axiom,
( ~ c_lessequals(X2,c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2499]) ).
cnf(c_0_2500_0,axiom,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2500_1,axiom,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2500_2,axiom,
( ~ c_lessequals(X2,c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2500]) ).
cnf(c_0_2501_0,axiom,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2501_1,axiom,
( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2501_2,axiom,
( ~ c_lessequals(X2,c_Message_Osynth(X3),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2501]) ).
cnf(c_0_2502_0,axiom,
( c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2502_1,axiom,
( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2502_2,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2502]) ).
cnf(c_0_2503_0,axiom,
( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2503_1,axiom,
( c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2503_2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2503]) ).
cnf(c_0_2504_0,axiom,
( c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2504_1,axiom,
( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2504_2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2504]) ).
cnf(c_0_2505_0,axiom,
( c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2505_1,axiom,
( ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2505_2,axiom,
( ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2505]) ).
cnf(c_0_2506_0,axiom,
( c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2506_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2506_2,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(X3),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2506]) ).
cnf(c_0_2507_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2507_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2507_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2507]) ).
cnf(c_0_2508_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2508_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2508_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2508]) ).
cnf(c_0_2509_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2509_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2509_2,axiom,
( ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2509]) ).
cnf(c_0_2510_0,axiom,
( c_in(X4,X2,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2510]) ).
cnf(c_0_2510_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2510]) ).
cnf(c_0_2510_2,axiom,
( ~ c_in(X4,X1,X3)
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2510]) ).
cnf(c_0_2511_0,axiom,
( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2511]) ).
cnf(c_0_2511_1,axiom,
( ~ c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oremdups(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2511]) ).
cnf(c_0_2512_0,axiom,
( c_List_Olength__unique(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olength__unique(X2,X3)
| ~ c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2512]) ).
cnf(c_0_2512_1,axiom,
( ~ c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Olength__unique(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olength__unique(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2512]) ).
cnf(c_0_2513_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2513]) ).
cnf(c_0_2513_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2513]) ).
cnf(c_0_2513_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2513]) ).
cnf(c_0_2514_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2514]) ).
cnf(c_0_2514_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2514]) ).
cnf(c_0_2514_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2514]) ).
cnf(c_0_2515_0,axiom,
( X1 = c_Message_Oagent_OSpy
| c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2515]) ).
cnf(c_0_2515_1,axiom,
( c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| X1 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_2515]) ).
cnf(c_0_2518_0,axiom,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2518]) ).
cnf(c_0_2518_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2518]) ).
cnf(c_0_2519_0,axiom,
( c_in(X1,c_Set_Oinsert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2519]) ).
cnf(c_0_2519_1,axiom,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2519]) ).
cnf(c_0_2522_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2522]) ).
cnf(c_0_2522_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2522]) ).
cnf(c_0_2522_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2522]) ).
cnf(c_0_2523_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2523]) ).
cnf(c_0_2523_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2523]) ).
cnf(c_0_2523_2,axiom,
( ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2523]) ).
cnf(c_0_2525_0,axiom,
( X1 = c_Message_Oagent_OSpy
| c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2525_1,axiom,
( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| X1 = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2525_2,axiom,
( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| X1 = c_Message_Oagent_OSpy ),
inference(literals_permutation,[status(thm)],[c_0_2525]) ).
cnf(c_0_2526_0,axiom,
( c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2526_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4)
| ~ class_HOL_Oord(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2526_2,axiom,
( ~ class_HOL_Oord(X4)
| ~ c_lessequals(X1,X2,tc_fun(X3,X4))
| c_lessequals(hAPP(X1,X5),hAPP(X2,X5),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2526]) ).
cnf(c_0_2527_0,axiom,
( c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2527]) ).
cnf(c_0_2527_1,axiom,
( ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2527]) ).
cnf(c_0_2530_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2530]) ).
cnf(c_0_2530_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2530]) ).
cnf(c_0_2530_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2530]) ).
cnf(c_0_2530_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2530]) ).
cnf(c_0_2531_0,axiom,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2531_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2531_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2531_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2531]) ).
cnf(c_0_2532_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2532]) ).
cnf(c_0_2532_1,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2532]) ).
cnf(c_0_2535_0,axiom,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2535_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_lessequals(X3,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2535_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_lessequals(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2535]) ).
cnf(c_0_2536_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg))
| c_Message_Oanalz(X2) != c_Message_Oanalz(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2536]) ).
cnf(c_0_2536_1,axiom,
( c_Message_Oanalz(X2) != c_Message_Oanalz(X3)
| c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X3,tc_Message_Omsg)) ),
inference(literals_permutation,[status(thm)],[c_0_2536]) ).
cnf(c_0_2537_0,axiom,
( c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2537]) ).
cnf(c_0_2537_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2537]) ).
cnf(c_0_2538_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(literals_permutation,[status(thm)],[c_0_2538]) ).
cnf(c_0_2538_1,axiom,
( ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2538]) ).
cnf(c_0_2539_0,axiom,
( c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2539]) ).
cnf(c_0_2539_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2539]) ).
cnf(c_0_2540_0,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2540]) ).
cnf(c_0_2540_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2540]) ).
cnf(c_0_2541_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2541]) ).
cnf(c_0_2541_1,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2541]) ).
cnf(c_0_2542_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2542_1,axiom,
( c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3)
| ~ c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2542_2,axiom,
( ~ c_List_Odistinct(X2,X3)
| c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2542]) ).
cnf(c_0_2543_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2543]) ).
cnf(c_0_2543_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2543]) ).
cnf(c_0_2544_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2544]) ).
cnf(c_0_2544_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2544]) ).
cnf(c_0_2547_0,axiom,
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2547_1,axiom,
( ~ c_in(c_Event_Oevent_ONotes(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Oused(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2547]) ).
cnf(c_0_2548_0,axiom,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2548]) ).
cnf(c_0_2548_1,axiom,
( ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2548]) ).
cnf(c_0_2549_0,axiom,
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2549]) ).
cnf(c_0_2549_1,axiom,
( ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2549]) ).
cnf(c_0_2550_0,axiom,
( c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2550]) ).
cnf(c_0_2550_1,axiom,
( ~ c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2550]) ).
cnf(c_0_2552_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2552_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2552_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2552]) ).
cnf(c_0_2553_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2553_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2553_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2553]) ).
cnf(c_0_2554_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2554_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2554]) ).
cnf(c_0_2555_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2555_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2555_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2555]) ).
cnf(c_0_2556_0,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2556_1,axiom,
( ~ c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2556]) ).
cnf(c_0_2557_0,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2557]) ).
cnf(c_0_2557_1,axiom,
( ~ c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2557]) ).
cnf(c_0_2558_0,axiom,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2558]) ).
cnf(c_0_2558_1,axiom,
( ~ c_lessequals(X1,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2558]) ).
cnf(c_0_2560_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2560]) ).
cnf(c_0_2560_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2560]) ).
cnf(c_0_2561_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2561]) ).
cnf(c_0_2561_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2561]) ).
cnf(c_0_2562_0,axiom,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2562_1,axiom,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oparts(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2562]) ).
cnf(c_0_2563_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2563_1,axiom,
( ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2563]) ).
cnf(c_0_2564_0,axiom,
( c_List_Odistinct(X1,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2564]) ).
cnf(c_0_2564_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2564]) ).
cnf(c_0_2565_0,axiom,
( c_List_Odistinct(X2,X3)
| ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2565_1,axiom,
( ~ c_List_Odistinct(c_List_Oappend(X1,X2,X3),X3)
| c_List_Odistinct(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2565]) ).
cnf(c_0_2567_0,axiom,
( c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2567_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2567]) ).
cnf(c_0_2568_0,axiom,
( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2568]) ).
cnf(c_0_2568_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2568]) ).
cnf(c_0_2569_0,axiom,
( c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2569_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_OkeysFor(X1),c_Message_OkeysFor(X2),tc_fun(tc_nat,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2569]) ).
cnf(c_0_2570_0,axiom,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2570]) ).
cnf(c_0_2570_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2570]) ).
cnf(c_0_2571_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2571]) ).
cnf(c_0_2571_1,axiom,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2571]) ).
cnf(c_0_2573_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2573_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2
| c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2573]) ).
cnf(c_0_2574_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2574_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2574]) ).
cnf(c_0_2575_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2575_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2575]) ).
cnf(c_0_2576_0,axiom,
( hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2576_2,axiom,
( ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2576]) ).
cnf(c_0_2577_0,axiom,
( hBOOL(hAPP(X2,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_1,axiom,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2577_2,axiom,
( ~ hBOOL(hAPP(X1,X4))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| hBOOL(hAPP(X2,X4)) ),
inference(literals_permutation,[status(thm)],[c_0_2577]) ).
cnf(c_0_2578_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2578_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2578]) ).
cnf(c_0_2579_0,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2579_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2579]) ).
cnf(c_0_2580_0,axiom,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2580_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2580]) ).
cnf(c_0_2581_0,axiom,
( c_in(X2,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2581_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Event_Oused(X3),tc_Message_Omsg)
| c_in(X2,c_Event_Oused(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2581]) ).
cnf(c_0_2582_0,axiom,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2582]) ).
cnf(c_0_2582_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2582]) ).
cnf(c_0_2583_0,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2583]) ).
cnf(c_0_2583_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2583]) ).
cnf(c_0_2584_0,axiom,
( c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2584_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2584]) ).
cnf(c_0_2585_0,axiom,
( c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2585_1,axiom,
( ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2585]) ).
cnf(c_0_2586_0,axiom,
( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2586]) ).
cnf(c_0_2586_1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2586]) ).
cnf(c_0_2592_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2592_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2592_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2592_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2592]) ).
cnf(c_0_2593_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2593_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2593_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2593_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2593]) ).
cnf(c_0_2594_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2594_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2594_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2594_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2594]) ).
cnf(c_0_2595_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2595_1,axiom,
( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2595]) ).
cnf(c_0_2600_0,axiom,
( X1 = X2
| c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2600_1,axiom,
( c_Event_Oevent_OSays(X3,X4,X1) != c_Event_Oevent_OSays(X5,X6,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2600]) ).
cnf(c_0_2601_0,axiom,
( X1 = X2
| c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2601_1,axiom,
( c_Event_Oevent_OSays(X3,X1,X4) != c_Event_Oevent_OSays(X5,X2,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2601]) ).
cnf(c_0_2602_0,axiom,
( X1 = X2
| c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2602_1,axiom,
( c_Event_Oevent_OSays(X1,X3,X4) != c_Event_Oevent_OSays(X2,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2602]) ).
cnf(c_0_2603_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2603]) ).
cnf(c_0_2603_1,axiom,
( c_List_Olist_OCons(X3,X1,X4) != c_List_Olist_OCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2603]) ).
cnf(c_0_2604_0,axiom,
( X1 = X2
| c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2604_1,axiom,
( c_List_Olist_OCons(X1,X3,X4) != c_List_Olist_OCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2604]) ).
cnf(c_0_2605_0,axiom,
( X1 = X2
| c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2605]) ).
cnf(c_0_2605_1,axiom,
( c_List_Oappend(X1,X3,X4) != c_List_Oappend(X2,X3,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2605]) ).
cnf(c_0_2606_0,axiom,
( X1 = X2
| c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2606_1,axiom,
( c_List_Oappend(X3,X1,X4) != c_List_Oappend(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2606]) ).
cnf(c_0_2607_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2607_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2607]) ).
cnf(c_0_2608_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2608_1,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2608]) ).
cnf(c_0_2609_0,axiom,
( c_in(X1,c_Event_Oused(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2609_1,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X3),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2609]) ).
cnf(c_0_2610_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2610_1,axiom,
( ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2610]) ).
cnf(c_0_2611_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2611]) ).
cnf(c_0_2611_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2611]) ).
cnf(c_0_2612_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2612]) ).
cnf(c_0_2612_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2612]) ).
cnf(c_0_2613_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2613]) ).
cnf(c_0_2613_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2613]) ).
cnf(c_0_2614_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2614]) ).
cnf(c_0_2614_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2614]) ).
cnf(c_0_2617_0,axiom,
( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2617]) ).
cnf(c_0_2617_1,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2617]) ).
cnf(c_0_2618_0,axiom,
( c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2618_1,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2618]) ).
cnf(c_0_2622_0,axiom,
( c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2622_1,axiom,
( ~ c_in(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2622]) ).
cnf(c_0_2630_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2630]) ).
cnf(c_0_2630_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2630]) ).
cnf(c_0_2631_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2631_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2631]) ).
cnf(c_0_2632_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2632_1,axiom,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2632]) ).
cnf(c_0_2633_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2633_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) != X2
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2633]) ).
cnf(c_0_2634_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2634_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2634]) ).
cnf(c_0_2635_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2635_2,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2635]) ).
cnf(c_0_2638_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2638]) ).
cnf(c_0_2638_1,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2638]) ).
cnf(c_0_2639_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2639]) ).
cnf(c_0_2639_1,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2639]) ).
cnf(c_0_2640_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2640_1,axiom,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(literals_permutation,[status(thm)],[c_0_2640]) ).
cnf(c_0_2641_0,axiom,
( c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2641_1,axiom,
( ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2641]) ).
cnf(c_0_2642_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2642]) ).
cnf(c_0_2642_1,axiom,
( ~ c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2642]) ).
cnf(c_0_2644_0,axiom,
( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2644]) ).
cnf(c_0_2644_1,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2644]) ).
cnf(c_0_2655_0,axiom,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)) ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2655_1,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X3,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2655]) ).
cnf(c_0_2656_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2656_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2656]) ).
cnf(c_0_2657_0,axiom,
( hBOOL(hAPP(X2,X1))
| ~ c_in(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2657_1,axiom,
( ~ c_in(X1,X2,X3)
| hBOOL(hAPP(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2657]) ).
cnf(c_0_2658_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2658_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2658]) ).
cnf(c_0_2659_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3)
| ~ class_Lattices_Oupper__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2659]) ).
cnf(c_0_2659_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X3)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2659]) ).
cnf(c_0_2668_0,axiom,
( c_in(X2,X1,X3)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2668_1,axiom,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2668]) ).
cnf(c_0_2671_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2671]) ).
cnf(c_0_2671_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2671]) ).
cnf(c_0_2672_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2672]) ).
cnf(c_0_2672_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2672]) ).
cnf(c_0_2673_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2673_1,axiom,
( c_List_Oappend(X1,X3,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2673]) ).
cnf(c_0_2674_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2674_1,axiom,
( c_List_Oappend(X3,X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2674]) ).
cnf(c_0_2679_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2679_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2679]) ).
cnf(c_0_2680_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X1,X3,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2680]) ).
cnf(c_0_2680_1,axiom,
( c_List_Oappend(X1,X3,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2680]) ).
cnf(c_0_2681_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2681]) ).
cnf(c_0_2681_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2681]) ).
cnf(c_0_2682_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oappend(X3,X1,X2) != X3 ),
inference(literals_permutation,[status(thm)],[c_0_2682]) ).
cnf(c_0_2682_1,axiom,
( c_List_Oappend(X3,X1,X2) != X3
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2682]) ).
cnf(c_0_2686_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2686]) ).
cnf(c_0_2686_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2686]) ).
cnf(c_0_2687_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2687]) ).
cnf(c_0_2687_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2687]) ).
cnf(c_0_2688_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_2688]) ).
cnf(c_0_2688_1,axiom,
( ~ c_fequal(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2688]) ).
cnf(c_0_2692_0,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
inference(literals_permutation,[status(thm)],[c_0_2692]) ).
cnf(c_0_2692_1,axiom,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2692]) ).
cnf(c_0_2703_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2703]) ).
cnf(c_0_2703_1,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(X2),X2) = c_Orderings_Otop__class_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2703]) ).
cnf(c_0_2704_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2704]) ).
cnf(c_0_2704_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(X1),X2,X1) = c_Orderings_Otop__class_Otop(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2704]) ).
cnf(c_0_2707_0,axiom,
( c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2)
| ~ class_Orderings_Otop(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2707]) ).
cnf(c_0_2707_1,axiom,
( ~ class_Orderings_Otop(X2)
| c_lessequals(X1,c_Orderings_Otop__class_Otop(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2707]) ).
cnf(c_0_2708_0,axiom,
( X1 = X2
| hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2708]) ).
cnf(c_0_2708_1,axiom,
( hAPP(c_Public_OpublicKey(X1),X3) != hAPP(c_Public_OpublicKey(X2),X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2708]) ).
cnf(c_0_2709_0,axiom,
( X1 = X2
| hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2) ),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2709_1,axiom,
( hAPP(c_Public_OpublicKey(X3),X1) != hAPP(c_Public_OpublicKey(X4),X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2709]) ).
cnf(c_0_2713_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1
| ~ class_Lattices_Oupper__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2713]) ).
cnf(c_0_2713_1,axiom,
( ~ class_Lattices_Oupper__semilattice(X2)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2713]) ).
cnf(c_0_2714_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2714]) ).
cnf(c_0_2714_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2714]) ).
cnf(c_0_2715_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2715]) ).
cnf(c_0_2715_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2715]) ).
cnf(c_0_2724_0,axiom,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2724_1,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2724_2,axiom,
( ~ class_Lattices_Oboolean__algebra(X3)
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2724]) ).
cnf(c_0_2725_0,axiom,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_1,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2
| ~ class_OrderedGroup_Ogroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2725_2,axiom,
( ~ class_OrderedGroup_Ogroup__add(X3)
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2725]) ).
cnf(c_0_2729_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2729]) ).
cnf(c_0_2729_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2729]) ).
cnf(c_0_2730_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2730]) ).
cnf(c_0_2730_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2730]) ).
cnf(c_0_2731_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2731]) ).
cnf(c_0_2731_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2731]) ).
cnf(c_0_2732_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2732]) ).
cnf(c_0_2732_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2732]) ).
cnf(c_0_2733_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2733]) ).
cnf(c_0_2733_1,axiom,
( ~ class_OrderedGroup_Ogroup__add(X2)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2733]) ).
cnf(c_0_2734_0,axiom,
( X1 = X2
| c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2734]) ).
cnf(c_0_2734_1,axiom,
( c_Message_Omsg_OMPair(X3,X1) != c_Message_Omsg_OMPair(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2734]) ).
cnf(c_0_2735_0,axiom,
( X1 = X2
| c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2735]) ).
cnf(c_0_2735_1,axiom,
( c_Message_Omsg_OMPair(X1,X3) != c_Message_Omsg_OMPair(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2735]) ).
cnf(c_0_2736_0,axiom,
( X1 = X2
| c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2736]) ).
cnf(c_0_2736_1,axiom,
( c_Message_Omsg_OCrypt(X3,X1) != c_Message_Omsg_OCrypt(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2736]) ).
cnf(c_0_2737_0,axiom,
( X1 = X2
| c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2737]) ).
cnf(c_0_2737_1,axiom,
( c_Message_Omsg_OCrypt(X1,X3) != c_Message_Omsg_OCrypt(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2737]) ).
cnf(c_0_2738_0,axiom,
( X1 = X2
| c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2738]) ).
cnf(c_0_2738_1,axiom,
( c_Event_Oevent_ONotes(X1,X3) != c_Event_Oevent_ONotes(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2738]) ).
cnf(c_0_2739_0,axiom,
( X1 = X2
| c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2739]) ).
cnf(c_0_2739_1,axiom,
( c_Event_Oevent_ONotes(X3,X1) != c_Event_Oevent_ONotes(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2739]) ).
cnf(c_0_2740_0,axiom,
( X1 = X2
| c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2740]) ).
cnf(c_0_2740_1,axiom,
( c_Event_Oevent_OGets(X3,X1) != c_Event_Oevent_OGets(X4,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2740]) ).
cnf(c_0_2741_0,axiom,
( X1 = X2
| c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_2741]) ).
cnf(c_0_2741_1,axiom,
( c_Event_Oevent_OGets(X1,X3) != c_Event_Oevent_OGets(X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2741]) ).
cnf(c_0_2750_0,axiom,
( X1 = X2
| hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2750]) ).
cnf(c_0_2750_1,axiom,
( hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2750]) ).
cnf(c_0_2751_0,axiom,
( X1 = X2
| hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2751]) ).
cnf(c_0_2751_1,axiom,
( hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2751]) ).
cnf(c_0_2754_0,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
inference(literals_permutation,[status(thm)],[c_0_2754]) ).
cnf(c_0_2754_1,axiom,
( c_List_Oremdups(X1,X2) != X1
| c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2754]) ).
cnf(c_0_2755_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_2755]) ).
cnf(c_0_2755_1,axiom,
( ~ c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_2755]) ).
cnf(c_0_2756_0,axiom,
( class_HOL_Oord(tc_fun(X2,X1))
| ~ class_HOL_Oord(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2756]) ).
cnf(c_0_2756_1,axiom,
( ~ class_HOL_Oord(X1)
| class_HOL_Oord(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2756]) ).
cnf(c_0_2757_0,axiom,
( class_Orderings_Otop(tc_fun(X2,X1))
| ~ class_Orderings_Otop(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2757]) ).
cnf(c_0_2757_1,axiom,
( ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2757]) ).
cnf(c_0_2758_0,axiom,
( class_Orderings_Oorder(tc_fun(X2,X1))
| ~ class_Orderings_Oorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2758_1,axiom,
( ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2758]) ).
cnf(c_0_2759_0,axiom,
( class_Lattices_Olattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2759_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2759]) ).
cnf(c_0_2760_0,axiom,
( class_Orderings_Opreorder(tc_fun(X2,X1))
| ~ class_Orderings_Opreorder(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2760_1,axiom,
( ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2760]) ).
cnf(c_0_2761_0,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
| ~ class_Lattices_Oboolean__algebra(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2761_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2761]) ).
cnf(c_0_2762_0,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X2,X1))
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2762]) ).
cnf(c_0_2762_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2762]) ).
cnf(c_0_2763_0,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X2,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_2763]) ).
cnf(c_0_2763_1,axiom,
( ~ class_Lattices_Olattice(X1)
| class_Lattices_Oupper__semilattice(tc_fun(X2,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_2763]) ).
cnf(c_0_2764_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2764_1,axiom,
( c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2764]) ).
cnf(c_0_2765_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2765]) ).
cnf(c_0_2765_1,axiom,
( c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2)
| X1 = c_List_Olist_ONil(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2765]) ).
cnf(c_0_2782_0,axiom,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2782]) ).
cnf(c_0_2782_1,axiom,
( c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2782]) ).
cnf(c_0_2783_0,axiom,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2783]) ).
cnf(c_0_2783_1,axiom,
( c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2783]) ).
cnf(c_0_2784_0,axiom,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
inference(literals_permutation,[status(thm)],[c_0_2784]) ).
cnf(c_0_2784_1,axiom,
( c_Message_OinvKey(X1) != c_Message_OinvKey(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_2784]) ).
cnf(c_0_2315_0,axiom,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OpublicKey(X3),X4,tc_Message_Oagent,tc_nat),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2315]) ).
cnf(c_0_2318_0,axiom,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2318]) ).
cnf(c_0_2327_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2327]) ).
cnf(c_0_2328_0,axiom,
~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2328]) ).
cnf(c_0_2331_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oimage(c_Message_Omsg_OKey,X3,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2331]) ).
cnf(c_0_2337_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2337]) ).
cnf(c_0_2559_0,axiom,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2559]) ).
cnf(c_0_2629_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2629]) ).
cnf(c_0_2637_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2637]) ).
cnf(c_0_2643_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2643]) ).
cnf(c_0_2653_0,axiom,
~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2653]) ).
cnf(c_0_2654_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2654]) ).
cnf(c_0_2660_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2660]) ).
cnf(c_0_2662_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2662]) ).
cnf(c_0_2663_0,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2663]) ).
cnf(c_0_2664_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2664]) ).
cnf(c_0_2665_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2665]) ).
cnf(c_0_2669_0,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X3),X4)),
inference(literals_permutation,[status(thm)],[c_0_2669]) ).
cnf(c_0_2670_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OpublicKey(X3),X4),
inference(literals_permutation,[status(thm)],[c_0_2670]) ).
cnf(c_0_2683_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_2683]) ).
cnf(c_0_2684_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
inference(literals_permutation,[status(thm)],[c_0_2684]) ).
cnf(c_0_2685_0,axiom,
c_List_Olist_OCons(X2,X3,X1) != c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2685]) ).
cnf(c_0_2689_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(literals_permutation,[status(thm)],[c_0_2689]) ).
cnf(c_0_2690_0,axiom,
c_List_Olist_OCons(X2,X1,X3) != X1,
inference(literals_permutation,[status(thm)],[c_0_2690]) ).
cnf(c_0_2693_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
inference(literals_permutation,[status(thm)],[c_0_2693]) ).
cnf(c_0_2694_0,axiom,
hAPP(c_Public_OshrK,X1) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X3)),
inference(literals_permutation,[status(thm)],[c_0_2694]) ).
cnf(c_0_2698_0,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(literals_permutation,[status(thm)],[c_0_2698]) ).
cnf(c_0_2726_0,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
inference(literals_permutation,[status(thm)],[c_0_2726]) ).
cnf(c_0_2727_0,axiom,
hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OpublicKey(X2),X3),
inference(literals_permutation,[status(thm)],[c_0_2727]) ).
cnf(c_0_2742_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2742]) ).
cnf(c_0_2743_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2743]) ).
cnf(c_0_2744_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2744]) ).
cnf(c_0_2745_0,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2745]) ).
cnf(c_0_2746_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2746]) ).
cnf(c_0_2747_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
inference(literals_permutation,[status(thm)],[c_0_2747]) ).
cnf(c_0_2748_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2748]) ).
cnf(c_0_2749_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
inference(literals_permutation,[status(thm)],[c_0_2749]) ).
cnf(c_0_2766_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
inference(literals_permutation,[status(thm)],[c_0_2766]) ).
cnf(c_0_2767_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2767]) ).
cnf(c_0_2768_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
inference(literals_permutation,[status(thm)],[c_0_2768]) ).
cnf(c_0_2769_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2769]) ).
cnf(c_0_2770_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2770]) ).
cnf(c_0_2771_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2771]) ).
cnf(c_0_2772_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
inference(literals_permutation,[status(thm)],[c_0_2772]) ).
cnf(c_0_2773_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
inference(literals_permutation,[status(thm)],[c_0_2773]) ).
cnf(c_0_2774_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
inference(literals_permutation,[status(thm)],[c_0_2774]) ).
cnf(c_0_2775_0,axiom,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
inference(literals_permutation,[status(thm)],[c_0_2775]) ).
cnf(c_0_2776_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
inference(literals_permutation,[status(thm)],[c_0_2776]) ).
cnf(c_0_2777_0,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
inference(literals_permutation,[status(thm)],[c_0_2777]) ).
cnf(c_0_2790_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
inference(literals_permutation,[status(thm)],[c_0_2790]) ).
cnf(c_0_2791_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
inference(literals_permutation,[status(thm)],[c_0_2791]) ).
cnf(c_0_2808_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(literals_permutation,[status(thm)],[c_0_2808]) ).
cnf(c_0_2809_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(literals_permutation,[status(thm)],[c_0_2809]) ).
cnf(c_0_2298_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2298]) ).
cnf(c_0_2299_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2299]) ).
cnf(c_0_2317_0,axiom,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2317]) ).
cnf(c_0_2324_0,axiom,
c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),
inference(literals_permutation,[status(thm)],[c_0_2324]) ).
cnf(c_0_2325_0,axiom,
c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) = c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5),
inference(literals_permutation,[status(thm)],[c_0_2325]) ).
cnf(c_0_2334_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)),
inference(literals_permutation,[status(thm)],[c_0_2334]) ).
cnf(c_0_2335_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)),
inference(literals_permutation,[status(thm)],[c_0_2335]) ).
cnf(c_0_2338_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2338]) ).
cnf(c_0_2345_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2345]) ).
cnf(c_0_2347_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2347]) ).
cnf(c_0_2348_0,axiom,
c_Message_Oanalz(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2348]) ).
cnf(c_0_2349_0,axiom,
c_Message_Oparts(c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg)) = c_Set_Oimage(c_Message_Omsg_OKey,X1,tc_nat,tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2349]) ).
cnf(c_0_2350_0,axiom,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2350]) ).
cnf(c_0_2352_0,axiom,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2352]) ).
cnf(c_0_2377_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2377]) ).
cnf(c_0_2378_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2378]) ).
cnf(c_0_2379_0,axiom,
c_lessequals(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2379]) ).
cnf(c_0_2380_0,axiom,
c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2380]) ).
cnf(c_0_2382_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(literals_permutation,[status(thm)],[c_0_2382]) ).
cnf(c_0_2390_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OMPair(X3,X4),X5,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X3,X4),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X5,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2390]) ).
cnf(c_0_2394_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OCrypt(X2,X3),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2394]) ).
cnf(c_0_2395_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OMPair(X2,X3),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2395]) ).
cnf(c_0_2396_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2396]) ).
cnf(c_0_2397_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2397]) ).
cnf(c_0_2398_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2398]) ).
cnf(c_0_2399_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),
inference(literals_permutation,[status(thm)],[c_0_2399]) ).
cnf(c_0_2400_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
inference(literals_permutation,[status(thm)],[c_0_2400]) ).
cnf(c_0_2405_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2405]) ).
cnf(c_0_2406_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2406]) ).
cnf(c_0_2408_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2408]) ).
cnf(c_0_2409_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2409]) ).
cnf(c_0_2417_0,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(X1,X4),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2417]) ).
cnf(c_0_2418_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_ONonce(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2418]) ).
cnf(c_0_2419_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OAgent(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2419]) ).
cnf(c_0_2420_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X4),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2420]) ).
cnf(c_0_2422_0,axiom,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2422]) ).
cnf(c_0_2423_0,axiom,
c_lessequals(c_Set_Oinsert(X1,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2423]) ).
cnf(c_0_2424_0,axiom,
c_lessequals(c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2424]) ).
cnf(c_0_2425_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_ONonce(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_ONonce(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2425]) ).
cnf(c_0_2426_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OAgent(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2426]) ).
cnf(c_0_2432_0,axiom,
c_Set_Oinsert(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2432]) ).
cnf(c_0_2433_0,axiom,
c_Set_Oinsert(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),X4) = c_Lattices_Oupper__semilattice__class_Osup(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2433]) ).
cnf(c_0_2450_0,axiom,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2450]) ).
cnf(c_0_2457_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(X3,X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2457]) ).
cnf(c_0_2466_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2466]) ).
cnf(c_0_2467_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_2467]) ).
cnf(c_0_2468_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2468]) ).
cnf(c_0_2469_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),
inference(literals_permutation,[status(thm)],[c_0_2469]) ).
cnf(c_0_2470_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2470]) ).
cnf(c_0_2471_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2471]) ).
cnf(c_0_2472_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4) = c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2472]) ).
cnf(c_0_2473_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2473]) ).
cnf(c_0_2474_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
inference(literals_permutation,[status(thm)],[c_0_2474]) ).
cnf(c_0_2483_0,axiom,
c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(literals_permutation,[status(thm)],[c_0_2483]) ).
cnf(c_0_2486_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2486]) ).
cnf(c_0_2516_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X1,X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)) = c_List_Oset(c_List_Oappend(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2516]) ).
cnf(c_0_2517_0,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2517]) ).
cnf(c_0_2520_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oused(X3),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2520]) ).
cnf(c_0_2521_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2521]) ).
cnf(c_0_2524_0,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(literals_permutation,[status(thm)],[c_0_2524]) ).
cnf(c_0_2528_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),
inference(literals_permutation,[status(thm)],[c_0_2528]) ).
cnf(c_0_2529_0,axiom,
c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oparts(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2529]) ).
cnf(c_0_2533_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2533]) ).
cnf(c_0_2534_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2534]) ).
cnf(c_0_2545_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2545]) ).
cnf(c_0_2546_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
inference(literals_permutation,[status(thm)],[c_0_2546]) ).
cnf(c_0_2551_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
inference(literals_permutation,[status(thm)],[c_0_2551]) ).
cnf(c_0_2566_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2566]) ).
cnf(c_0_2572_0,axiom,
c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3) = c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2572]) ).
cnf(c_0_2587_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2587]) ).
cnf(c_0_2588_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2588]) ).
cnf(c_0_2589_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_ONonce(X1),c_Message_Oparts(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2589]) ).
cnf(c_0_2590_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OAgent(X1),c_Message_Oparts(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2590]) ).
cnf(c_0_2591_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2591]) ).
cnf(c_0_2596_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
inference(literals_permutation,[status(thm)],[c_0_2596]) ).
cnf(c_0_2597_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2597]) ).
cnf(c_0_2598_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),X1,tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2598]) ).
cnf(c_0_2599_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2599]) ).
cnf(c_0_2615_0,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
inference(literals_permutation,[status(thm)],[c_0_2615]) ).
cnf(c_0_2616_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
inference(literals_permutation,[status(thm)],[c_0_2616]) ).
cnf(c_0_2619_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2619]) ).
cnf(c_0_2620_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2620]) ).
cnf(c_0_2621_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(literals_permutation,[status(thm)],[c_0_2621]) ).
cnf(c_0_2623_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oused(X3),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2623]) ).
cnf(c_0_2624_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_OinitState(X3),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2624]) ).
cnf(c_0_2625_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
inference(literals_permutation,[status(thm)],[c_0_2625]) ).
cnf(c_0_2626_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2626]) ).
cnf(c_0_2627_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2627]) ).
cnf(c_0_2628_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2628]) ).
cnf(c_0_2636_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2636]) ).
cnf(c_0_2645_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(literals_permutation,[status(thm)],[c_0_2645]) ).
cnf(c_0_2646_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2646]) ).
cnf(c_0_2647_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2647]) ).
cnf(c_0_2648_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2648]) ).
cnf(c_0_2649_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2649]) ).
cnf(c_0_2650_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_OinitState(X1),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2650]) ).
cnf(c_0_2651_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
inference(literals_permutation,[status(thm)],[c_0_2651]) ).
cnf(c_0_2652_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
inference(literals_permutation,[status(thm)],[c_0_2652]) ).
cnf(c_0_2661_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
inference(literals_permutation,[status(thm)],[c_0_2661]) ).
cnf(c_0_2666_0,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
inference(literals_permutation,[status(thm)],[c_0_2666]) ).
cnf(c_0_2667_0,axiom,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2667]) ).
cnf(c_0_2675_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(X1)),
inference(literals_permutation,[status(thm)],[c_0_2675]) ).
cnf(c_0_2676_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X1)),
inference(literals_permutation,[status(thm)],[c_0_2676]) ).
cnf(c_0_2677_0,axiom,
c_in(c_List_Olist_ONil(X1),c_List_Olists(X2,X1),tc_List_Olist(X1)),
inference(literals_permutation,[status(thm)],[c_0_2677]) ).
cnf(c_0_2678_0,axiom,
c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2678]) ).
cnf(c_0_2691_0,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2691]) ).
cnf(c_0_2695_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2695]) ).
cnf(c_0_2696_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2696]) ).
cnf(c_0_2697_0,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2697]) ).
cnf(c_0_2699_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
inference(literals_permutation,[status(thm)],[c_0_2699]) ).
cnf(c_0_2700_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2700]) ).
cnf(c_0_2701_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(literals_permutation,[status(thm)],[c_0_2701]) ).
cnf(c_0_2702_0,axiom,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2702]) ).
cnf(c_0_2705_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2705]) ).
cnf(c_0_2706_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2706]) ).
cnf(c_0_2710_0,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2710]) ).
cnf(c_0_2711_0,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(literals_permutation,[status(thm)],[c_0_2711]) ).
cnf(c_0_2712_0,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2712]) ).
cnf(c_0_2716_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2716]) ).
cnf(c_0_2717_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2717]) ).
cnf(c_0_2718_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2718]) ).
cnf(c_0_2719_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(literals_permutation,[status(thm)],[c_0_2719]) ).
cnf(c_0_2720_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X2),X1,X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_2720]) ).
cnf(c_0_2721_0,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(literals_permutation,[status(thm)],[c_0_2721]) ).
cnf(c_0_2722_0,axiom,
c_fequal(X1,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2722]) ).
cnf(c_0_2723_0,axiom,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_2723]) ).
cnf(c_0_2728_0,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
inference(literals_permutation,[status(thm)],[c_0_2728]) ).
cnf(c_0_2752_0,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
inference(literals_permutation,[status(thm)],[c_0_2752]) ).
cnf(c_0_2753_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
inference(literals_permutation,[status(thm)],[c_0_2753]) ).
cnf(c_0_2778_0,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2778]) ).
cnf(c_0_2779_0,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
inference(literals_permutation,[status(thm)],[c_0_2779]) ).
cnf(c_0_2780_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
inference(literals_permutation,[status(thm)],[c_0_2780]) ).
cnf(c_0_2781_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_2781]) ).
cnf(c_0_2785_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(literals_permutation,[status(thm)],[c_0_2785]) ).
cnf(c_0_2786_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(literals_permutation,[status(thm)],[c_0_2786]) ).
cnf(c_0_2787_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
inference(literals_permutation,[status(thm)],[c_0_2787]) ).
cnf(c_0_2788_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
inference(literals_permutation,[status(thm)],[c_0_2788]) ).
cnf(c_0_2789_0,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
inference(literals_permutation,[status(thm)],[c_0_2789]) ).
cnf(c_0_2792_0,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(literals_permutation,[status(thm)],[c_0_2792]) ).
cnf(c_0_2793_0,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
inference(literals_permutation,[status(thm)],[c_0_2793]) ).
cnf(c_0_2794_0,axiom,
class_HOL_Oord(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2794]) ).
cnf(c_0_2795_0,axiom,
class_Orderings_Otop(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2795]) ).
cnf(c_0_2796_0,axiom,
class_Orderings_Oorder(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2796]) ).
cnf(c_0_2797_0,axiom,
class_Lattices_Olattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2797]) ).
cnf(c_0_2798_0,axiom,
class_Orderings_Opreorder(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2798]) ).
cnf(c_0_2799_0,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2799]) ).
cnf(c_0_2800_0,axiom,
class_Lattices_Obounded__lattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2800]) ).
cnf(c_0_2801_0,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
inference(literals_permutation,[status(thm)],[c_0_2801]) ).
cnf(c_0_2802_0,axiom,
class_HOL_Oord(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2802]) ).
cnf(c_0_2803_0,axiom,
class_Orderings_Oorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2803]) ).
cnf(c_0_2804_0,axiom,
class_Lattices_Olattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2804]) ).
cnf(c_0_2805_0,axiom,
class_Orderings_Olinorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2805]) ).
cnf(c_0_2806_0,axiom,
class_Orderings_Opreorder(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2806]) ).
cnf(c_0_2807_0,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
inference(literals_permutation,[status(thm)],[c_0_2807]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
file('<stdin>',cls_conjecture_14) ).
fof(c_0_1_002,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('<stdin>',cls_conjecture_13) ).
fof(c_0_2_003,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('<stdin>',cls_conjecture_5) ).
fof(c_0_3_004,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('<stdin>',cls_conjecture_12) ).
fof(c_0_4_005,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('<stdin>',cls_conjecture_6) ).
fof(c_0_5_006,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_6_007,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))),
file('<stdin>',cls_conjecture_11) ).
fof(c_0_7_008,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_8_009,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_9_010,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_10_011,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('<stdin>',cls_conjecture_4) ).
fof(c_0_11_012,negated_conjecture,
v_K = v_KAB,
file('<stdin>',cls_conjecture_10) ).
fof(c_0_12_013,negated_conjecture,
v_B = v_Ba,
file('<stdin>',cls_conjecture_9) ).
fof(c_0_13_014,negated_conjecture,
v_NA = v_NAa,
file('<stdin>',cls_conjecture_8) ).
fof(c_0_14_015,negated_conjecture,
v_A = v_Aa,
file('<stdin>',cls_conjecture_7) ).
fof(c_0_15_016,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_16_017,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_17_018,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
c_0_2 ).
fof(c_0_18_019,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
c_0_3 ).
fof(c_0_19_020,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_20_021,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_21_022,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))),
c_0_6 ).
fof(c_0_22_023,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_23_024,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_24_025,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
c_0_9 ).
fof(c_0_25_026,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
c_0_10 ).
fof(c_0_26_027,negated_conjecture,
v_K = v_KAB,
c_0_11 ).
fof(c_0_27_028,negated_conjecture,
v_B = v_Ba,
c_0_12 ).
fof(c_0_28_029,negated_conjecture,
v_NA = v_NAa,
c_0_13 ).
fof(c_0_29_030,negated_conjecture,
v_A = v_Aa,
c_0_14 ).
fof(c_0_30_031,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
c_0_15 ).
fof(c_0_31_032,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
c_0_16 ).
fof(c_0_32_033,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
c_0_17 ).
fof(c_0_33_034,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
c_0_18 ).
fof(c_0_34_035,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
c_0_19 ).
fof(c_0_35_036,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
c_0_20 ).
fof(c_0_36_037,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))),
c_0_21 ).
fof(c_0_37_038,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
c_0_22 ).
fof(c_0_38_039,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_23 ).
fof(c_0_39_040,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
c_0_24 ).
fof(c_0_40_041,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
c_0_25 ).
fof(c_0_41_042,negated_conjecture,
v_K = v_KAB,
c_0_26 ).
fof(c_0_42_043,negated_conjecture,
v_B = v_Ba,
c_0_27 ).
fof(c_0_43_044,negated_conjecture,
v_NA = v_NAa,
c_0_28 ).
fof(c_0_44_045,negated_conjecture,
v_A = v_Aa,
c_0_29 ).
cnf(c_0_45_046,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46_047,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47_048,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_48_049,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49_050,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50_051,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_51_052,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_52_053,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_53_054,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_54_055,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55_056,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_56_057,negated_conjecture,
v_K = v_KAB,
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57_058,negated_conjecture,
v_B = v_Ba,
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58_059,negated_conjecture,
v_NA = v_NAa,
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59_060,negated_conjecture,
v_A = v_Aa,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60_061,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg) ),
c_0_45,
[final] ).
cnf(c_0_61_062,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_Aa,v_Ba,c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
c_0_46,
[final] ).
cnf(c_0_62_063,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A_H,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_ONonce(v_NAa)))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
c_0_47,
[final] ).
cnf(c_0_63_064,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
c_0_48,
[final] ).
cnf(c_0_64_065,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
c_0_49,
[final] ).
cnf(c_0_65_066,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
c_0_50,
[final] ).
cnf(c_0_66_067,negated_conjecture,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Omsg_OAgent(v_Aa))) = v_X,
c_0_51,
[final] ).
cnf(c_0_67_068,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
c_0_52,
[final] ).
cnf(c_0_68_069,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
c_0_53,
[final] ).
cnf(c_0_69_070,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
c_0_54,
[final] ).
cnf(c_0_70_071,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
c_0_55,
[final] ).
cnf(c_0_71_072,negated_conjecture,
v_K = v_KAB,
c_0_56,
[final] ).
cnf(c_0_72_073,negated_conjecture,
v_Ba = v_B,
c_0_57,
[final] ).
cnf(c_0_73_074,negated_conjecture,
v_NA = v_NAa,
c_0_58,
[final] ).
cnf(c_0_74_075,negated_conjecture,
v_A = v_Aa,
c_0_59,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_1167,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/tmp/iprover_modulo_b856ed.p',c_0_70) ).
cnf(c_1624,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(copy,[status(esa)],[c_1167]) ).
cnf(c_1674,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(copy,[status(esa)],[c_1624]) ).
cnf(c_1683,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(copy,[status(esa)],[c_1674]) ).
cnf(c_1703,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(copy,[status(esa)],[c_1683]) ).
cnf(c_5133,plain,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
inference(copy,[status(esa)],[c_1703]) ).
cnf(c_556,plain,
( c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b856ed.p',c_0_2506_2) ).
cnf(c_3913,plain,
( c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat) ),
inference(copy,[status(esa)],[c_556]) ).
cnf(c_3914,plain,
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_in(X0,c_Message_OkeysFor(X2),tc_nat) ),
inference(rewriting,[status(thm)],[c_3913]) ).
cnf(c_5147,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_KAB,X0),X1,tc_Message_Omsg)
| c_in(v_KAB,c_Message_OkeysFor(X1),tc_nat) ),
inference(resolution,[status(thm)],[c_5133,c_3914]) ).
cnf(c_5152,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_KAB,X0),X1,tc_Message_Omsg)
| c_in(v_KAB,c_Message_OkeysFor(X1),tc_nat) ),
inference(rewriting,[status(thm)],[c_5147]) ).
cnf(c_1164,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/iprover_modulo_b856ed.p',c_0_63) ).
cnf(c_1618,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1164]) ).
cnf(c_1671,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1618]) ).
cnf(c_1686,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1671]) ).
cnf(c_1700,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1686]) ).
cnf(c_5127,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1700]) ).
cnf(c_5997,plain,
c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
inference(resolution,[status(thm)],[c_5152,c_5127]) ).
cnf(c_5998,plain,
c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
inference(rewriting,[status(thm)],[c_5997]) ).
cnf(c_782,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_b856ed.p',c_0_2384_3) ).
cnf(c_4365,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
inference(copy,[status(esa)],[c_782]) ).
cnf(c_4366,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
inference(rewriting,[status(thm)],[c_4365]) ).
cnf(c_7928,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(v_KAB,c_Message_OsymKeys,tc_nat) ),
inference(resolution,[status(thm)],[c_5998,c_4366]) ).
cnf(c_7929,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(v_KAB,c_Message_OsymKeys,tc_nat) ),
inference(rewriting,[status(thm)],[c_7928]) ).
cnf(c_1166,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/iprover_modulo_b856ed.p',c_0_69) ).
cnf(c_1622,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1166]) ).
cnf(c_1673,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1622]) ).
cnf(c_1684,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1673]) ).
cnf(c_1702,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1684]) ).
cnf(c_5131,plain,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(copy,[status(esa)],[c_1702]) ).
cnf(c_1160,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/iprover_modulo_b856ed.p',c_0_65) ).
cnf(c_1610,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1160]) ).
cnf(c_1667,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1610]) ).
cnf(c_1690,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1667]) ).
cnf(c_1696,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1690]) ).
cnf(c_5119,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(copy,[status(esa)],[c_1696]) ).
cnf(c_50603,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7929,c_5133,c_5131,c_5119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV801-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 15 11:02:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Running in mono-core mode
% 0.21/0.53 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.53 % Orientation found
% 0.21/0.53 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_245a57.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b856ed.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5cd4ae | grep -v "SZS"
% 0.21/0.56
% 0.21/0.56 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.56
% 0.21/0.56 %
% 0.21/0.56 % ------ iProver source info
% 0.21/0.56
% 0.21/0.56 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.56 % git: non_committed_changes: true
% 0.21/0.56 % git: last_make_outside_of_git: true
% 0.21/0.56
% 0.21/0.56 %
% 0.21/0.56 % ------ Input Options
% 0.21/0.56
% 0.21/0.56 % --out_options all
% 0.21/0.56 % --tptp_safe_out true
% 0.21/0.56 % --problem_path ""
% 0.21/0.56 % --include_path ""
% 0.21/0.56 % --clausifier .//eprover
% 0.21/0.56 % --clausifier_options --tstp-format
% 0.21/0.56 % --stdin false
% 0.21/0.56 % --dbg_backtrace false
% 0.21/0.56 % --dbg_dump_prop_clauses false
% 0.21/0.56 % --dbg_dump_prop_clauses_file -
% 0.21/0.56 % --dbg_out_stat false
% 0.21/0.56
% 0.21/0.56 % ------ General Options
% 0.21/0.56
% 0.21/0.56 % --fof false
% 0.21/0.56 % --time_out_real 150.
% 0.21/0.56 % --time_out_prep_mult 0.2
% 0.21/0.56 % --time_out_virtual -1.
% 0.21/0.56 % --schedule none
% 0.21/0.56 % --ground_splitting input
% 0.21/0.56 % --splitting_nvd 16
% 0.21/0.56 % --non_eq_to_eq false
% 0.21/0.56 % --prep_gs_sim true
% 0.21/0.56 % --prep_unflatten false
% 0.21/0.56 % --prep_res_sim true
% 0.21/0.56 % --prep_upred true
% 0.21/0.56 % --res_sim_input true
% 0.21/0.56 % --clause_weak_htbl true
% 0.21/0.56 % --gc_record_bc_elim false
% 0.21/0.56 % --symbol_type_check false
% 0.21/0.56 % --clausify_out false
% 0.21/0.56 % --large_theory_mode false
% 0.21/0.56 % --prep_sem_filter none
% 0.21/0.56 % --prep_sem_filter_out false
% 0.21/0.56 % --preprocessed_out false
% 0.21/0.56 % --sub_typing false
% 0.21/0.56 % --brand_transform false
% 0.21/0.56 % --pure_diseq_elim true
% 0.21/0.56 % --min_unsat_core false
% 0.21/0.56 % --pred_elim true
% 0.21/0.56 % --add_important_lit false
% 0.21/0.56 % --soft_assumptions false
% 0.21/0.56 % --reset_solvers false
% 0.21/0.56 % --bc_imp_inh []
% 0.21/0.56 % --conj_cone_tolerance 1.5
% 0.21/0.56 % --prolific_symb_bound 500
% 0.21/0.56 % --lt_threshold 2000
% 0.21/0.56
% 0.21/0.56 % ------ SAT Options
% 0.21/0.56
% 0.21/0.56 % --sat_mode false
% 0.21/0.56 % --sat_fm_restart_options ""
% 0.21/0.56 % --sat_gr_def false
% 0.21/0.56 % --sat_epr_types true
% 0.21/0.56 % --sat_non_cyclic_types false
% 0.21/0.56 % --sat_finite_models false
% 0.21/0.56 % --sat_fm_lemmas false
% 0.21/0.56 % --sat_fm_prep false
% 0.21/0.56 % --sat_fm_uc_incr true
% 0.21/0.56 % --sat_out_model small
% 0.21/0.56 % --sat_out_clauses false
% 0.21/0.56
% 0.21/0.56 % ------ QBF Options
% 0.21/0.56
% 0.21/0.56 % --qbf_mode false
% 0.21/0.56 % --qbf_elim_univ true
% 0.21/0.56 % --qbf_sk_in true
% 0.21/0.56 % --qbf_pred_elim true
% 0.21/0.56 % --qbf_split 32
% 0.21/0.56
% 0.21/0.56 % ------ BMC1 Options
% 0.21/0.56
% 0.21/0.56 % --bmc1_incremental false
% 0.21/0.56 % --bmc1_axioms reachable_all
% 0.21/0.56 % --bmc1_min_bound 0
% 0.21/0.56 % --bmc1_max_bound -1
% 0.21/0.56 % --bmc1_max_bound_default -1
% 0.21/0.56 % --bmc1_symbol_reachability true
% 0.21/0.56 % --bmc1_property_lemmas false
% 0.21/0.56 % --bmc1_k_induction false
% 0.21/0.56 % --bmc1_non_equiv_states false
% 0.21/0.56 % --bmc1_deadlock false
% 0.21/0.56 % --bmc1_ucm false
% 0.21/0.56 % --bmc1_add_unsat_core none
% 0.21/0.56 % --bmc1_unsat_core_children false
% 0.21/0.56 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.56 % --bmc1_out_stat full
% 0.21/0.56 % --bmc1_ground_init false
% 0.21/0.56 % --bmc1_pre_inst_next_state false
% 0.21/0.56 % --bmc1_pre_inst_state false
% 0.21/0.56 % --bmc1_pre_inst_reach_state false
% 0.21/0.56 % --bmc1_out_unsat_core false
% 0.21/0.56 % --bmc1_aig_witness_out false
% 0.21/0.56 % --bmc1_verbose false
% 0.21/0.56 % --bmc1_dump_clauses_tptp false
% 150.32/150.59 % --bmc1_dump_unsat_core_tptp false
% 150.32/150.59 % --bmc1_dump_file -
% 150.32/150.59 % --bmc1_ucm_expand_uc_limit 128
% 150.32/150.59 % --bmc1_ucm_n_expand_iterations 6
% 150.32/150.59 % --bmc1_ucm_extend_mode 1
% 150.32/150.59 % --bmc1_ucm_init_mode 2
% 150.32/150.59 % --bmc1_ucm_cone_mode none
% 150.32/150.59 % --bmc1_ucm_reduced_relation_type 0
% 150.32/150.59 % --bmc1_ucm_relax_model 4
% 150.32/150.59 % --bmc1_ucm_full_tr_after_sat true
% 150.32/150.59 % --bmc1_ucm_expand_neg_assumptions false
% 150.32/150.59 % --bmc1_ucm_layered_model none
% 150.32/150.59 % --bmc1_ucm_max_lemma_size 10
% 150.32/150.59
% 150.32/150.59 % ------ AIG Options
% 150.32/150.59
% 150.32/150.59 % --aig_mode false
% 150.32/150.59
% 150.32/150.59 % ------ Instantiation Options
% 150.32/150.59
% 150.32/150.59 % --instantiation_flag true
% 150.32/150.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.32/150.59 % --inst_solver_per_active 750
% 150.32/150.59 % --inst_solver_calls_frac 0.5
% 150.32/150.59 % --inst_passive_queue_type priority_queues
% 150.32/150.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.32/150.59 % --inst_passive_queues_freq [25;2]
% 150.32/150.59 % --inst_dismatching true
% 150.32/150.59 % --inst_eager_unprocessed_to_passive true
% 150.32/150.59 % --inst_prop_sim_given true
% 150.32/150.59 % --inst_prop_sim_new false
% 150.32/150.59 % --inst_orphan_elimination true
% 150.32/150.59 % --inst_learning_loop_flag true
% 150.32/150.59 % --inst_learning_start 3000
% 150.32/150.59 % --inst_learning_factor 2
% 150.32/150.59 % --inst_start_prop_sim_after_learn 3
% 150.32/150.59 % --inst_sel_renew solver
% 150.32/150.59 % --inst_lit_activity_flag true
% 150.32/150.59 % --inst_out_proof true
% 150.32/150.59
% 150.32/150.59 % ------ Resolution Options
% 150.32/150.59
% 150.32/150.59 % --resolution_flag true
% 150.32/150.59 % --res_lit_sel kbo_max
% 150.32/150.59 % --res_to_prop_solver none
% 150.32/150.59 % --res_prop_simpl_new false
% 150.32/150.59 % --res_prop_simpl_given false
% 150.32/150.59 % --res_passive_queue_type priority_queues
% 150.32/150.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.32/150.59 % --res_passive_queues_freq [15;5]
% 150.32/150.59 % --res_forward_subs full
% 150.32/150.59 % --res_backward_subs full
% 150.32/150.59 % --res_forward_subs_resolution true
% 150.32/150.59 % --res_backward_subs_resolution true
% 150.32/150.59 % --res_orphan_elimination false
% 150.32/150.59 % --res_time_limit 1000.
% 150.32/150.59 % --res_out_proof true
% 150.32/150.59 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_245a57.s
% 150.32/150.59 % --modulo true
% 150.32/150.59
% 150.32/150.59 % ------ Combination Options
% 150.32/150.59
% 150.32/150.59 % --comb_res_mult 1000
% 150.32/150.59 % --comb_inst_mult 300
% 150.32/150.59 % ------
% 150.32/150.59
% 150.32/150.59 % ------ Parsing...% successful
% 150.32/150.59
% 150.32/150.59 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 150.32/150.59
% 150.32/150.59 % ------ Proving...
% 150.32/150.59 % ------ Problem Properties
% 150.32/150.59
% 150.32/150.59 %
% 150.32/150.59 % EPR false
% 150.32/150.59 % Horn false
% 150.32/150.59 % Has equality true
% 150.32/150.59
% 150.32/150.59 % % ------ Input Options Time Limit: Unbounded
% 150.32/150.60
% 150.32/150.60
% 150.32/150.60 Compiling...
% 150.32/150.60 Loading plugin: done.
% 150.32/150.60 Compiling...
% 150.32/150.60 Loading plugin: done.
% 150.32/150.60 %
% 150.32/150.60
% 150.32/150.60
% 150.32/150.60 % Time Out Real
% 150.32/150.60
% 150.32/150.60 % ------ Statistics
% 150.32/150.60
% 150.32/150.60 % ------ General
% 150.32/150.60
% 150.32/150.60 % num_of_input_clauses: 1172
% 150.32/150.60 % num_of_input_neg_conjectures: 15
% 150.32/150.60 % num_of_splits: 0
% 150.32/150.60 % num_of_split_atoms: 0
% 150.32/150.60 % num_of_sem_filtered_clauses: 0
% 150.32/150.60 % num_of_subtypes: 0
% 150.32/150.60 % monotx_restored_types: 0
% 150.32/150.60 % sat_num_of_epr_types: 0
% 150.32/150.60 % sat_num_of_non_cyclic_types: 0
% 150.32/150.60 % sat_guarded_non_collapsed_types: 0
% 150.32/150.60 % is_epr: 0
% 150.32/150.60 % is_horn: 0
% 150.32/150.60 % has_eq: 1
% 150.32/150.60 % num_pure_diseq_elim: 0
% 150.32/150.60 % simp_replaced_by: 0
% 150.32/150.60 % res_preprocessed: 30
% 150.32/150.60 % prep_upred: 0
% 150.32/150.60 % prep_unflattend: 0
% 150.32/150.60 % pred_elim_cands: 0
% 150.32/150.60 % pred_elim: 0
% 150.32/150.60 % pred_elim_cl: 0
% 150.32/150.60 % pred_elim_cycles: 0
% 150.32/150.60 % forced_gc_time: 0
% 150.32/150.60 % gc_basic_clause_elim: 0
% 150.32/150.60 % parsing_time: 0.086
% 150.32/150.60 % sem_filter_time: 0.
% 150.32/150.60 % pred_elim_time: 0.
% 150.32/150.60 % out_proof_time: 0.
% 150.32/150.60 % monotx_time: 0.
% 150.32/150.60 % subtype_inf_time: 0.
% 150.32/150.60 % unif_index_cands_time: 0.
% 150.32/150.60 % unif_index_add_time: 0.
% 150.32/150.60 % total_time: 150.052
% 150.32/150.60 % num_of_symbols: 111
% 150.32/150.60 % num_of_terms: 4813
% 150.32/150.60
% 150.32/150.60 % ------ Propositional Solver
% 150.32/150.60
% 150.32/150.60 % prop_solver_calls: 1
% 150.32/150.60 % prop_fast_solver_calls: 51
% 150.32/150.60 % prop_num_of_clauses: 1227
% 150.32/150.60 % prop_preprocess_simplified: 3511
% 150.32/150.60 % prop_fo_subsumed: 0
% 150.32/150.60 % prop_solver_time: 0.
% 150.32/150.60 % prop_fast_solver_time: 0.
% 150.32/150.60 % prop_unsat_core_time: 0.
% 150.32/150.60
% 150.32/150.60 % ------ QBF
% 150.32/150.60
% 150.32/150.60 % qbf_q_res: 0
% 150.32/150.60 % qbf_num_tautologies: 0
% 150.32/150.60 % qbf_prep_cycles: 0
% 150.32/150.60
% 150.32/150.60 % ------ BMC1
% 150.32/150.60
% 150.32/150.60 % bmc1_current_bound: -1
% 150.32/150.60 % bmc1_last_solved_bound: -1
% 150.32/150.60 % bmc1_unsat_core_size: -1
% 150.32/150.60 % bmc1_unsat_core_parents_size: -1
% 150.32/150.60 % bmc1_merge_next_fun: 0
% 150.32/150.60 % bmc1_unsat_core_clauses_time: 0.
% 150.32/150.60
% 150.32/150.60 % ------ Instantiation
% 150.32/150.60
% 150.32/150.60 % inst_num_of_clauses: 1064
% 150.32/150.60 % inst_num_in_passive: 0
% 150.32/150.60 % inst_num_in_active: 0
% 150.32/150.60 % inst_num_in_unprocessed: 1172
% 150.32/150.60 % inst_num_of_loops: 0
% 150.32/150.60 % inst_num_of_learning_restarts: 0
% 150.32/150.60 % inst_num_moves_active_passive: 0
% 150.32/150.60 % inst_lit_activity: 0
% 150.32/150.60 % inst_lit_activity_moves: 0
% 150.32/150.60 % inst_num_tautologies: 0
% 150.32/150.60 % inst_num_prop_implied: 0
% 150.32/150.60 % inst_num_existing_simplified: 0
% 150.32/150.60 % inst_num_eq_res_simplified: 0
% 150.32/150.60 % inst_num_child_elim: 0
% 150.32/150.60 % inst_num_of_dismatching_blockings: 0
% 150.32/150.60 % inst_num_of_non_proper_insts: 0
% 150.32/150.60 % inst_num_of_duplicates: 0
% 150.32/150.60 % inst_inst_num_from_inst_to_res: 0
% 150.32/150.60 % inst_dismatching_checking_time: 0.
% 150.32/150.60
% 150.32/150.60 % ------ Resolution
% 150.32/150.60
% 150.32/150.60 % res_num_of_clauses: 977
% 150.32/150.60 % res_num_in_passive: 0
% 150.32/150.60 % res_num_in_active: 375
% 150.32/150.60 % res_num_of_loops: 0
% 150.32/150.60 % res_forward_subset_subsumed: 595
% 150.32/150.60 % res_backward_subset_subsumed: 2
% 150.32/150.60 % res_forward_subsumed: 0
% 150.32/150.60 % res_backward_subsumed: 0
% 150.32/150.60 % res_forward_subsumption_resolution: 0
% 150.32/150.60 % res_backward_subsumption_resolution: 0
% 150.32/150.60 % res_clause_to_clause_subsumption: 0
% 150.32/150.60 % res_orphan_elimination: 0
% 150.32/150.60 % res_tautology_del: 0
% 150.32/150.60 % res_num_eq_res_simplified: 0
% 150.32/150.60 % res_num_sel_changes: 0
% 150.32/150.60 % res_moves_from_active_to_pass: 0
% 150.32/150.60
% 150.32/150.60 % Status Unknown
% 150.41/150.75 % Orienting using strategy ClausalAll
% 150.41/150.75 % Orientation found
% 150.41/150.75 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_245a57.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b856ed.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f3e451 | grep -v "SZS"
% 150.56/150.77
% 150.56/150.77 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.56/150.77
% 150.56/150.77 %
% 150.56/150.77 % ------ iProver source info
% 150.56/150.77
% 150.56/150.77 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.56/150.77 % git: non_committed_changes: true
% 150.56/150.77 % git: last_make_outside_of_git: true
% 150.56/150.77
% 150.56/150.77 %
% 150.56/150.77 % ------ Input Options
% 150.56/150.77
% 150.56/150.77 % --out_options all
% 150.56/150.77 % --tptp_safe_out true
% 150.56/150.77 % --problem_path ""
% 150.56/150.77 % --include_path ""
% 150.56/150.77 % --clausifier .//eprover
% 150.56/150.77 % --clausifier_options --tstp-format
% 150.56/150.77 % --stdin false
% 150.56/150.77 % --dbg_backtrace false
% 150.56/150.77 % --dbg_dump_prop_clauses false
% 150.56/150.77 % --dbg_dump_prop_clauses_file -
% 150.56/150.77 % --dbg_out_stat false
% 150.56/150.77
% 150.56/150.77 % ------ General Options
% 150.56/150.77
% 150.56/150.77 % --fof false
% 150.56/150.77 % --time_out_real 150.
% 150.56/150.77 % --time_out_prep_mult 0.2
% 150.56/150.77 % --time_out_virtual -1.
% 150.56/150.77 % --schedule none
% 150.56/150.77 % --ground_splitting input
% 150.56/150.77 % --splitting_nvd 16
% 150.56/150.77 % --non_eq_to_eq false
% 150.56/150.77 % --prep_gs_sim true
% 150.56/150.77 % --prep_unflatten false
% 150.56/150.77 % --prep_res_sim true
% 150.56/150.77 % --prep_upred true
% 150.56/150.77 % --res_sim_input true
% 150.56/150.77 % --clause_weak_htbl true
% 150.56/150.77 % --gc_record_bc_elim false
% 150.56/150.77 % --symbol_type_check false
% 150.56/150.77 % --clausify_out false
% 150.56/150.77 % --large_theory_mode false
% 150.56/150.77 % --prep_sem_filter none
% 150.56/150.77 % --prep_sem_filter_out false
% 150.56/150.77 % --preprocessed_out false
% 150.56/150.77 % --sub_typing false
% 150.56/150.77 % --brand_transform false
% 150.56/150.77 % --pure_diseq_elim true
% 150.56/150.77 % --min_unsat_core false
% 150.56/150.77 % --pred_elim true
% 150.56/150.77 % --add_important_lit false
% 150.56/150.77 % --soft_assumptions false
% 150.56/150.77 % --reset_solvers false
% 150.56/150.77 % --bc_imp_inh []
% 150.56/150.77 % --conj_cone_tolerance 1.5
% 150.56/150.77 % --prolific_symb_bound 500
% 150.56/150.77 % --lt_threshold 2000
% 150.56/150.77
% 150.56/150.77 % ------ SAT Options
% 150.56/150.77
% 150.56/150.77 % --sat_mode false
% 150.56/150.77 % --sat_fm_restart_options ""
% 150.56/150.77 % --sat_gr_def false
% 150.56/150.77 % --sat_epr_types true
% 150.56/150.77 % --sat_non_cyclic_types false
% 150.56/150.77 % --sat_finite_models false
% 150.56/150.77 % --sat_fm_lemmas false
% 150.56/150.77 % --sat_fm_prep false
% 150.56/150.77 % --sat_fm_uc_incr true
% 150.56/150.77 % --sat_out_model small
% 150.56/150.77 % --sat_out_clauses false
% 150.56/150.77
% 150.56/150.77 % ------ QBF Options
% 150.56/150.77
% 150.56/150.77 % --qbf_mode false
% 150.56/150.77 % --qbf_elim_univ true
% 150.56/150.77 % --qbf_sk_in true
% 150.56/150.77 % --qbf_pred_elim true
% 150.56/150.77 % --qbf_split 32
% 150.56/150.77
% 150.56/150.77 % ------ BMC1 Options
% 150.56/150.77
% 150.56/150.77 % --bmc1_incremental false
% 150.56/150.77 % --bmc1_axioms reachable_all
% 150.56/150.77 % --bmc1_min_bound 0
% 150.56/150.77 % --bmc1_max_bound -1
% 150.56/150.77 % --bmc1_max_bound_default -1
% 150.56/150.77 % --bmc1_symbol_reachability true
% 150.56/150.77 % --bmc1_property_lemmas false
% 150.56/150.77 % --bmc1_k_induction false
% 150.56/150.77 % --bmc1_non_equiv_states false
% 150.56/150.77 % --bmc1_deadlock false
% 150.56/150.77 % --bmc1_ucm false
% 150.56/150.77 % --bmc1_add_unsat_core none
% 150.56/150.77 % --bmc1_unsat_core_children false
% 150.56/150.77 % --bmc1_unsat_core_extrapolate_axioms false
% 150.56/150.77 % --bmc1_out_stat full
% 150.56/150.77 % --bmc1_ground_init false
% 150.56/150.77 % --bmc1_pre_inst_next_state false
% 150.56/150.77 % --bmc1_pre_inst_state false
% 150.56/150.77 % --bmc1_pre_inst_reach_state false
% 150.56/150.77 % --bmc1_out_unsat_core false
% 150.56/150.77 % --bmc1_aig_witness_out false
% 150.56/150.77 % --bmc1_verbose false
% 150.56/150.77 % --bmc1_dump_clauses_tptp false
% 154.42/154.68 % --bmc1_dump_unsat_core_tptp false
% 154.42/154.68 % --bmc1_dump_file -
% 154.42/154.68 % --bmc1_ucm_expand_uc_limit 128
% 154.42/154.68 % --bmc1_ucm_n_expand_iterations 6
% 154.42/154.68 % --bmc1_ucm_extend_mode 1
% 154.42/154.68 % --bmc1_ucm_init_mode 2
% 154.42/154.68 % --bmc1_ucm_cone_mode none
% 154.42/154.68 % --bmc1_ucm_reduced_relation_type 0
% 154.42/154.68 % --bmc1_ucm_relax_model 4
% 154.42/154.68 % --bmc1_ucm_full_tr_after_sat true
% 154.42/154.68 % --bmc1_ucm_expand_neg_assumptions false
% 154.42/154.68 % --bmc1_ucm_layered_model none
% 154.42/154.68 % --bmc1_ucm_max_lemma_size 10
% 154.42/154.68
% 154.42/154.68 % ------ AIG Options
% 154.42/154.68
% 154.42/154.68 % --aig_mode false
% 154.42/154.68
% 154.42/154.68 % ------ Instantiation Options
% 154.42/154.68
% 154.42/154.68 % --instantiation_flag true
% 154.42/154.68 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 154.42/154.68 % --inst_solver_per_active 750
% 154.42/154.68 % --inst_solver_calls_frac 0.5
% 154.42/154.68 % --inst_passive_queue_type priority_queues
% 154.42/154.68 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 154.42/154.68 % --inst_passive_queues_freq [25;2]
% 154.42/154.68 % --inst_dismatching true
% 154.42/154.68 % --inst_eager_unprocessed_to_passive true
% 154.42/154.68 % --inst_prop_sim_given true
% 154.42/154.68 % --inst_prop_sim_new false
% 154.42/154.68 % --inst_orphan_elimination true
% 154.42/154.68 % --inst_learning_loop_flag true
% 154.42/154.68 % --inst_learning_start 3000
% 154.42/154.68 % --inst_learning_factor 2
% 154.42/154.68 % --inst_start_prop_sim_after_learn 3
% 154.42/154.68 % --inst_sel_renew solver
% 154.42/154.68 % --inst_lit_activity_flag true
% 154.42/154.68 % --inst_out_proof true
% 154.42/154.68
% 154.42/154.68 % ------ Resolution Options
% 154.42/154.68
% 154.42/154.68 % --resolution_flag true
% 154.42/154.68 % --res_lit_sel kbo_max
% 154.42/154.68 % --res_to_prop_solver none
% 154.42/154.68 % --res_prop_simpl_new false
% 154.42/154.68 % --res_prop_simpl_given false
% 154.42/154.68 % --res_passive_queue_type priority_queues
% 154.42/154.68 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 154.42/154.68 % --res_passive_queues_freq [15;5]
% 154.42/154.68 % --res_forward_subs full
% 154.42/154.68 % --res_backward_subs full
% 154.42/154.68 % --res_forward_subs_resolution true
% 154.42/154.68 % --res_backward_subs_resolution true
% 154.42/154.68 % --res_orphan_elimination false
% 154.42/154.68 % --res_time_limit 1000.
% 154.42/154.68 % --res_out_proof true
% 154.42/154.68 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_245a57.s
% 154.42/154.68 % --modulo true
% 154.42/154.68
% 154.42/154.68 % ------ Combination Options
% 154.42/154.68
% 154.42/154.68 % --comb_res_mult 1000
% 154.42/154.68 % --comb_inst_mult 300
% 154.42/154.68 % ------
% 154.42/154.68
% 154.42/154.68 % ------ Parsing...% successful
% 154.42/154.68
% 154.42/154.68 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 154.42/154.68
% 154.42/154.68 % ------ Proving...
% 154.42/154.68 % ------ Problem Properties
% 154.42/154.68
% 154.42/154.68 %
% 154.42/154.68 % EPR false
% 154.42/154.68 % Horn false
% 154.42/154.68 % Has equality true
% 154.42/154.68
% 154.42/154.68 % % ------ Input Options Time Limit: Unbounded
% 154.42/154.68
% 154.42/154.68
% 154.42/154.68 Compiling...
% 154.42/154.68 Loading plugin: done.
% 154.42/154.68 Compiling...
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% 154.42/154.68 Loading plugin: done.
% 154.42/154.68 Compiling...
% 154.42/154.68 Loading plugin: done.
% 154.42/154.68 Compiling...
% 154.42/154.68 Loading plugin: done.
% 154.42/154.68 % % ------ Current options:
% 154.42/154.68
% 154.42/154.68 % ------ Input Options
% 154.42/154.68
% 154.42/154.68 % --out_options all
% 154.42/154.68 % --tptp_safe_out true
% 154.42/154.68 % --problem_path ""
% 154.42/154.68 % --include_path ""
% 154.42/154.68 % --clausifier .//eprover
% 154.42/154.68 % --clausifier_options --tstp-format
% 154.42/154.68 % --stdin false
% 154.42/154.68 % --dbg_backtrace false
% 154.42/154.68 % --dbg_dump_prop_clauses false
% 154.42/154.68 % --dbg_dump_prop_clauses_file -
% 154.42/154.68 % --dbg_out_stat false
% 154.42/154.68
% 154.42/154.68 % ------ General Options
% 154.42/154.68
% 154.42/154.68 % --fof false
% 154.42/154.68 % --time_out_real 150.
% 154.42/154.68 % --time_out_prep_mult 0.2
% 154.42/154.68 % --time_out_virtual -1.
% 154.42/154.68 % --schedule none
% 154.42/154.68 % --ground_splitting input
% 154.42/154.68 % --splitting_nvd 16
% 154.42/154.68 % --non_eq_to_eq false
% 154.42/154.68 % --prep_gs_sim true
% 154.42/154.68 % --prep_unflatten false
% 154.42/154.68 % --prep_res_sim true
% 154.42/154.68 % --prep_upred true
% 154.42/154.68 % --res_sim_input true
% 154.42/154.68 % --clause_weak_htbl true
% 154.42/154.68 % --gc_record_bc_elim false
% 154.42/154.68 % --symbol_type_check false
% 154.42/154.68 % --clausify_out false
% 154.42/154.68 % --large_theory_mode false
% 154.42/154.68 % --prep_sem_filter none
% 154.42/154.68 % --prep_sem_filter_out false
% 154.42/154.68 % --preprocessed_out false
% 154.42/154.68 % --sub_typing false
% 154.42/154.68 % --brand_transform false
% 154.42/154.68 % --pure_diseq_elim true
% 154.42/154.68 % --min_unsat_core false
% 154.42/154.68 % --pred_elim true
% 154.42/154.68 % --add_important_lit false
% 154.42/154.68 % --soft_assumptions false
% 154.42/154.68 % --reset_solvers false
% 154.42/154.68 % --bc_imp_inh []
% 154.42/154.68 % --conj_cone_tolerance 1.5
% 154.42/154.68 % --prolific_symb_bound 500
% 154.42/154.68 % --lt_threshold 2000
% 154.42/154.68
% 154.42/154.68 % ------ SAT Options
% 154.42/154.68
% 154.42/154.68 % --sat_mode false
% 154.42/154.68 % --sat_fm_restart_options ""
% 154.42/154.68 % --sat_gr_def false
% 154.42/154.68 % --sat_epr_types true
% 154.42/154.68 % --sat_non_cyclic_types false
% 154.42/154.68 % --sat_finite_models false
% 154.42/154.68 % --sat_fm_lemmas false
% 154.42/154.68 % --sat_fm_prep false
% 154.42/154.68 % --sat_fm_uc_incr true
% 154.42/154.68 % --sat_out_model small
% 154.42/154.68 % --sat_out_clauses false
% 154.42/154.68
% 154.42/154.68 % ------ QBF Options
% 154.42/154.68
% 154.42/154.68 % --qbf_mode false
% 154.42/154.68 % --qbf_elim_univ true
% 154.42/154.68 % --qbf_sk_in true
% 154.42/154.68 % --qbf_pred_elim true
% 154.42/154.68 % --qbf_split 32
% 154.42/154.68
% 154.42/154.68 % ------ BMC1 Options
% 154.42/154.68
% 154.42/154.68 % --bmc1_incremental false
% 154.42/154.68 % --bmc1_axioms reachable_all
% 154.42/154.68 % --bmc1_min_bound 0
% 154.42/154.68 % --bmc1_max_bound -1
% 154.42/154.68 % --bmc1_max_bound_default -1
% 154.42/154.68 % --bmc1_symbol_reachability true
% 154.42/154.68 % --bmc1_property_lemmas false
% 154.42/154.68 % --bmc1_k_induction false
% 154.42/154.68 % --bmc1_non_equiv_states false
% 154.42/154.68 % --bmc1_deadlock false
% 154.42/154.68 % --bmc1_ucm false
% 154.42/154.68 % --bmc1_add_unsat_core none
% 154.42/154.68 % --bmc1_unsat_core_children false
% 154.42/154.68 % --bmc1_unsat_core_extrapolate_axioms false
% 154.42/154.68 % --bmc1_out_stat full
% 154.42/154.68 % --bmc1_ground_init false
% 154.42/154.68 % --bmc1_pre_inst_next_state false
% 154.42/154.68 % --bmc1_pre_inst_state false
% 154.42/154.68 % --bmc1_pre_inst_reach_state false
% 154.42/154.68 % --bmc1_out_unsat_core false
% 154.42/154.68 % --bmc1_aig_witness_out false
% 154.42/154.68 % --bmc1_verbose false
% 154.42/154.68 % --bmc1_dump_clauses_tptp false
% 154.42/154.68 % --bmc1_dump_unsat_core_tptp false
% 154.42/154.68 % --bmc1_dump_file -
% 154.42/154.68 % --bmc1_ucm_expand_uc_limit 128
% 154.42/154.68 % --bmc1_ucm_n_expand_iterations 6
% 154.42/154.68 % --bmc1_ucm_extend_mode 1
% 154.42/154.68 % --bmc1_ucm_init_mode 2
% 154.42/154.68 % --bmc1_ucm_cone_mode none
% 154.42/154.68 % --bmc1_ucm_reduced_relation_type 0
% 154.42/154.68 % --bmc1_ucm_relax_model 4
% 156.15/156.41 % --bmc1_ucm_full_tr_after_sat true
% 156.15/156.41 % --bmc1_ucm_expand_neg_assumptions false
% 156.15/156.41 % --bmc1_ucm_layered_model none
% 156.15/156.41 % --bmc1_ucm_max_lemma_size 10
% 156.15/156.41
% 156.15/156.41 % ------ AIG Options
% 156.15/156.41
% 156.15/156.41 % --aig_mode false
% 156.15/156.41
% 156.15/156.41 % ------ Instantiation Options
% 156.15/156.41
% 156.15/156.41 % --instantiation_flag true
% 156.15/156.41 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 156.15/156.41 % --inst_solver_per_active 750
% 156.15/156.41 % --inst_solver_calls_frac 0.5
% 156.15/156.41 % --inst_passive_queue_type priority_queues
% 156.15/156.41 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 156.15/156.41 % --inst_passive_queues_freq [25;2]
% 156.15/156.41 % --inst_dismatching true
% 156.15/156.41 % --inst_eager_unprocessed_to_passive true
% 156.15/156.41 % --inst_prop_sim_given true
% 156.15/156.41 % --inst_prop_sim_new false
% 156.15/156.41 % --inst_orphan_elimination true
% 156.15/156.41 % --inst_learning_loop_flag true
% 156.15/156.41 % --inst_learning_start 3000
% 156.15/156.41 % --inst_learning_factor 2
% 156.15/156.42 % --inst_start_prop_sim_after_learn 3
% 156.15/156.42 % --inst_sel_renew solver
% 156.15/156.42 % --inst_lit_activity_flag true
% 156.15/156.42 % --inst_out_proof true
% 156.15/156.42
% 156.15/156.42 % ------ Resolution Options
% 156.15/156.42
% 156.15/156.42 % --resolution_flag true
% 156.15/156.42 % --res_lit_sel kbo_max
% 156.15/156.42 % --res_to_prop_solver none
% 156.15/156.42 % --res_prop_simpl_new false
% 156.15/156.42 % --res_prop_simpl_given false
% 156.15/156.42 % --res_passive_queue_type priority_queues
% 156.15/156.42 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 156.15/156.42 % --res_passive_queues_freq [15;5]
% 156.15/156.42 % --res_forward_subs full
% 156.15/156.42 % --res_backward_subs full
% 156.15/156.42 % --res_forward_subs_resolution true
% 156.15/156.42 % --res_backward_subs_resolution true
% 156.15/156.42 % --res_orphan_elimination false
% 156.15/156.42 % --res_time_limit 1000.
% 156.15/156.42 % --res_out_proof true
% 156.15/156.42 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_245a57.s
% 156.15/156.42 % --modulo true
% 156.15/156.42
% 156.15/156.42 % ------ Combination Options
% 156.15/156.42
% 156.15/156.42 % --comb_res_mult 1000
% 156.15/156.42 % --comb_inst_mult 300
% 156.15/156.42 % ------
% 156.15/156.42
% 156.15/156.42
% 156.15/156.42
% 156.15/156.42 % ------ Proving...
% 156.15/156.42 %
% 156.15/156.42
% 156.15/156.42
% 156.15/156.42 % Resolution empty clause
% 156.15/156.42
% 156.15/156.42 % ------ Statistics
% 156.15/156.42
% 156.15/156.42 % ------ General
% 156.15/156.42
% 156.15/156.42 % num_of_input_clauses: 1172
% 156.15/156.42 % num_of_input_neg_conjectures: 15
% 156.15/156.42 % num_of_splits: 0
% 156.15/156.42 % num_of_split_atoms: 0
% 156.15/156.42 % num_of_sem_filtered_clauses: 0
% 156.15/156.42 % num_of_subtypes: 0
% 156.15/156.42 % monotx_restored_types: 0
% 156.15/156.42 % sat_num_of_epr_types: 0
% 156.15/156.42 % sat_num_of_non_cyclic_types: 0
% 156.15/156.42 % sat_guarded_non_collapsed_types: 0
% 156.15/156.42 % is_epr: 0
% 156.15/156.42 % is_horn: 0
% 156.15/156.42 % has_eq: 1
% 156.15/156.42 % num_pure_diseq_elim: 0
% 156.15/156.42 % simp_replaced_by: 0
% 156.15/156.42 % res_preprocessed: 30
% 156.15/156.42 % prep_upred: 0
% 156.15/156.42 % prep_unflattend: 0
% 156.15/156.42 % pred_elim_cands: 0
% 156.15/156.42 % pred_elim: 0
% 156.15/156.42 % pred_elim_cl: 0
% 156.15/156.42 % pred_elim_cycles: 0
% 156.15/156.42 % forced_gc_time: 0
% 156.15/156.42 % gc_basic_clause_elim: 0
% 156.15/156.42 % parsing_time: 0.062
% 156.15/156.42 % sem_filter_time: 0.
% 156.15/156.42 % pred_elim_time: 0.
% 156.15/156.42 % out_proof_time: 0.
% 156.15/156.42 % monotx_time: 0.
% 156.15/156.42 % subtype_inf_time: 0.
% 156.15/156.42 % unif_index_cands_time: 0.008
% 156.15/156.42 % unif_index_add_time: 0.007
% 156.15/156.42 % total_time: 5.661
% 156.15/156.42 % num_of_symbols: 111
% 156.15/156.42 % num_of_terms: 59872
% 156.15/156.42
% 156.15/156.42 % ------ Propositional Solver
% 156.15/156.42
% 156.15/156.42 % prop_solver_calls: 2
% 156.15/156.42 % prop_fast_solver_calls: 51
% 156.15/156.42 % prop_num_of_clauses: 1866
% 156.15/156.42 % prop_preprocess_simplified: 5831
% 156.15/156.42 % prop_fo_subsumed: 0
% 156.15/156.42 % prop_solver_time: 0.
% 156.15/156.42 % prop_fast_solver_time: 0.
% 156.15/156.42 % prop_unsat_core_time: 0.
% 156.15/156.42
% 156.15/156.42 % ------ QBF
% 156.15/156.42
% 156.15/156.42 % qbf_q_res: 0
% 156.15/156.42 % qbf_num_tautologies: 0
% 156.15/156.42 % qbf_prep_cycles: 0
% 156.15/156.42
% 156.15/156.42 % ------ BMC1
% 156.15/156.42
% 156.15/156.42 % bmc1_current_bound: -1
% 156.15/156.42 % bmc1_last_solved_bound: -1
% 156.15/156.42 % bmc1_unsat_core_size: -1
% 156.15/156.42 % bmc1_unsat_core_parents_size: -1
% 156.15/156.42 % bmc1_merge_next_fun: 0
% 156.15/156.42 % bmc1_unsat_core_clauses_time: 0.
% 156.15/156.42
% 156.15/156.42 % ------ Instantiation
% 156.15/156.42
% 156.15/156.42 % inst_num_of_clauses: 1390
% 156.15/156.42 % inst_num_in_passive: 755
% 156.15/156.42 % inst_num_in_active: 299
% 156.15/156.42 % inst_num_in_unprocessed: 336
% 156.15/156.42 % inst_num_of_loops: 300
% 156.15/156.42 % inst_num_of_learning_restarts: 0
% 156.15/156.42 % inst_num_moves_active_passive: 0
% 156.15/156.42 % inst_lit_activity: 42
% 156.15/156.42 % inst_lit_activity_moves: 0
% 156.15/156.42 % inst_num_tautologies: 0
% 156.15/156.42 % inst_num_prop_implied: 0
% 156.15/156.42 % inst_num_existing_simplified: 0
% 156.15/156.42 % inst_num_eq_res_simplified: 0
% 156.15/156.42 % inst_num_child_elim: 0
% 156.15/156.42 % inst_num_of_dismatching_blockings: 8
% 156.15/156.42 % inst_num_of_non_proper_insts: 300
% 156.15/156.42 % inst_num_of_duplicates: 348
% 156.15/156.42 % inst_inst_num_from_inst_to_res: 0
% 156.15/156.42 % inst_dismatching_checking_time: 0.
% 156.15/156.42
% 156.15/156.42 % ------ Resolution
% 156.15/156.42
% 156.15/156.42 % res_num_of_clauses: 17525
% 156.15/156.42 % res_num_in_passive: 14880
% 156.15/156.42 % res_num_in_active: 1984
% 156.15/156.42 % res_num_of_loops: 1858
% 156.15/156.42 % res_forward_subset_subsumed: 2561
% 156.15/156.42 % res_backward_subset_subsumed: 11
% 156.15/156.42 % res_forward_subsumed: 328
% 156.15/156.42 % res_backward_subsumed: 10
% 156.15/156.42 % res_forward_subsumption_resolution: 47
% 156.15/156.42 % res_backward_subsumption_resolution: 0
% 156.15/156.42 % res_clause_to_clause_subsumption: 6662
% 156.15/156.42 % res_orphan_elimination: 0
% 156.15/156.42 % res_tautology_del: 9
% 156.15/156.42 % res_num_eq_res_simplified: 0
% 156.15/156.42 % res_num_sel_changes: 0
% 156.15/156.42 % res_moves_from_active_to_pass: 0
% 156.15/156.42
% 156.15/156.42 % Status Unsatisfiable
% 156.15/156.42 % SZS status Unsatisfiable
% 156.15/156.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------