%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV801-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.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 : 300s
% DateTime : Tue May 5 05:27:26 PM UTC 2026
% Result : Unsatisfiable 0.72s 1.67s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_577)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_analz__image__freshK__lemma_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_1) ).
cnf(cls_analz__image__freshK__lemma_5,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(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_5) ).
cnf(cls_analz__image__freshK__lemma_2,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(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
cnf(cls_analz__image__freshK__lemma_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
cnf(cls_knows__imp__Says__Gets__Notes__initState_0,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
cnf(cls_priK__in__initState_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
cnf(cls_initState__into__used_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
cnf(cls_Crypt__notin__initState_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
cnf(cls_Nonce__notin__initState_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
cnf(cls_publicKey__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_OinitState(X3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
cnf(cls_shrK__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_OinitState(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__initState_0) ).
cnf(cls_initState__subset__knows_0,axiom,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
cnf(cls_ns__shared_ONS2_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)))))))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Message_OsymKeys,tc_nat)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS2_0) ).
cnf(cls_ns__sharedp_ONS2_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)))))))),X5,tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
cnf(cls_secrecy__lemma_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__Xsecrecy__lemma__1(X1,X3,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,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(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ 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,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),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_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
cnf(cls_B__trusts__NS5__lemma_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| 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(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),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(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
cnf(cls_B__trusts__NS3_0,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(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X1,X2,X3,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ 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,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
cnf(cls_analz__image__freshK_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,X3,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,X3,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X3,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(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_0) ).
cnf(cls_unique__session__keys_0,axiom,
( X1 = X2
| ~ c_in(X3,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(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,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(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
cnf(cls_unique__session__keys_1,axiom,
( X1 = X2
| ~ c_in(X3,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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
cnf(cls_unique__session__keys_2,axiom,
( X1 = X2
| ~ c_in(X3,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(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
cnf(cls_unique__session__keys_3,axiom,
( X1 = X2
| ~ c_in(X3,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(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X1))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
cnf(cls_analz__image__freshK_2,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),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),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,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_2) ).
cnf(cls_analz__image__freshK_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),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,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(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_1) ).
cnf(cls_ns__shared_OOops_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),hAPP(c_Message_Omsg_OKey,X3)))),X4,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,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
cnf(cls_Spy__not__see__encrypted__key_0,axiom,
( c_in(X3,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__XSpy__not__see__encrypted__key__1(X1,X5,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ 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(X6,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__not__see__encrypted__key_0) ).
cnf(cls_ns__shared_ONS5_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X9,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
cnf(cls_ns__sharedp_OOops_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(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),hAPP(c_Message_Omsg_OKey,X3)))),X4,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OOops_0) ).
cnf(cls_ns__sharedp_ONS5_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),X5,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X9,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
cnf(cls_ns__shared_ONS3_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X1 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
cnf(cls_Says__S__message__form_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X3,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_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__S__message__form_0) ).
cnf(cls_ns__sharedp_ONS3_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent))
| X1 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
cnf(cls_Says__Server__message__form_0,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(X2,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(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_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
cnf(cls_NS4__implies__NS3_0,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X2))))),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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NS4__implies__NS3_0) ).
cnf(cls_A__trusts__NS4__lemma_0,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_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),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(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
cnf(cls_A__trusts__NS2_0,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(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
cnf(cls_A__trusts__NS4_0,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_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(X6,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X3,X6,X5),hAPP(c_Message_Omsg_OKey,X3)))),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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS4_0) ).
cnf(cls_Says__S__message__form_1,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X5)))
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
cnf(cls_Says__Server__message__form_1,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| ~ 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,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_Says__Server__message__form_2,axiom,
( X1 = hAPP(c_Public_OshrK,X2)
| ~ c_in(X3,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(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
cnf(cls_cert__A__form_0,axiom,
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ 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_in(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,X1),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
cnf(cls_analz__image__freshK__lemma_4,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
cnf(cls_analz__image__freshK__lemma_3,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(X3),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
cnf(cls_A__authenticates__and__keydist__to__B_0,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(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__authenticates__and__keydist__to__B_0) ).
cnf(cls_B__trusts__NS5_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,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(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X3,X5),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X3,X5),hAPP(c_Message_Omsg_OKey,X3)))),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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS5_0) ).
cnf(cls_inj__image__Compl__subset_0,axiom,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__Compl__subset_0) ).
cnf(cls_inj__image__subset__iff_0,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))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
cnf(cls_conjecture_14,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_14) ).
cnf(cls_ns__shared_ONS4_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS4_0) ).
cnf(cls_cert__A__form_1,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X5,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(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
cnf(cls_Oops__parts__spies_0,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),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(X5,c_Message_Omsg_OMPair(X1,X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
cnf(cls_ns__sharedp_ONS4_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),X5,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
cnf(cls_inj__image__subset__iff_1,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))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_keysFor__parts__insert_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
cnf(cls_NS3__msg__in__parts__spies_0,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
cnf(cls_analz__insert__freshK_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| X1 = X3
| c_in(X3,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,X3),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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_0) ).
cnf(cls_Issues__def_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Issues__def_0) ).
cnf(cls_analz__mono__contra_I1_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
cnf(cls_rangeE_0,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X3,X4))
| ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeE_0) ).
cnf(cls_analz__image__freshK__simps_I57_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
cnf(cls_image__Un_0,axiom,
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).
cnf(cls_inj__image__mem__iff_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
cnf(cls_analz__insert__freshK_2,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X3),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,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_2) ).
cnf(cls_inj__image__eq__iff_0,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_analz__insert__freshK_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_1) ).
cnf(cls_image__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).
cnf(cls_subset__image__iff_2,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
cnf(cls_Fake__analz__insert_0,axiom,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,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(X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
cnf(cls_inj__image__mem__iff_1,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__image__mem__iff_1) ).
cnf(cls_lemma2_0,axiom,
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma2_0) ).
cnf(cls_lemma1_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))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma1_0) ).
cnf(cls_ns__shared_ONS1_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
cnf(cls_Key__not__used_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
cnf(cls_image__subset__iff_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,X5,X6)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_B__Issues__A_0,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(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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__Issues__A_0) ).
cnf(cls_privateKey__notin__image__publicKey_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
cnf(cls_publicKey__image__eq_1,axiom,
( c_in(X1,X2,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X4),X2,tc_Message_Oagent,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
cnf(cls_analz__insert__Crypt__subset_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
cnf(cls_privateKey__notin__image__shrK_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
cnf(cls_analz__subset__cong_0,axiom,
( c_lessequals(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))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
cnf(cls_ns__sharedp_ONS1_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X4,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
cnf(cls_Key__image__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
cnf(cls_shrK__image__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
cnf(cls_publicKey__image__eq_0,axiom,
( X1 = X2
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X3),c_Set_Oimage(c_Public_OpublicKey(X2),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
cnf(cls_analz__image__freshK__simps_I56_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
cnf(cls_image__insert_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_insert__image_0,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).
cnf(cls_publicKey__notin__image__shrK_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
cnf(cls_shrK__notin__image__publicKey_0,axiom,
~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
cnf(cls_analz__mono__contra_I3_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
cnf(cls_analz__mono__contra_I2_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
cnf(cls_Crypt__notin__image__Key_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
cnf(cls_inj__on__Un_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_0) ).
cnf(cls_inj__on__Un_1,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
cnf(cls_analz__insert__MPair_0,axiom,
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
cnf(cls_parts__insert__MPair_0,axiom,
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
cnf(cls_parts__cut_0,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(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
cnf(cls_Nonce__Key__image__eq_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
cnf(cls_spies__Says__rev_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__Says__rev_0) ).
cnf(cls_inj__on__insert_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_in__set__conv__decomp__first_2,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X2,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__conv__decomp__first_2) ).
cnf(cls_in__set__conv__decomp__last_2,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X3,X4),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__conv__decomp__last_2) ).
cnf(cls_Fake__parts__insert__in__Un_0,axiom,
( c_in(X1,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_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
cnf(cls_synth__analz__insert__eq_0,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_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X4,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
cnf(cls_knows__subset__knows__Says_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
cnf(cls_subset__inj__on_0,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__inj__on_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Says_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
cnf(cls_analz__image__Key_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
cnf(cls_parts__image__Key_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
cnf(cls_in__set__conv__decomp_1,axiom,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__set__conv__decomp_1) ).
cnf(cls_ns__shared_OFake_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,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,X3))),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
cnf(cls_rangeI_0,axiom,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_publicKey__image__eq_2,axiom,
( c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X1),X3,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X2,X3,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_2) ).
cnf(cls_in__parts__UnE_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(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
cnf(cls_image__eqI_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).
cnf(cls_imageI_0,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
cnf(cls_rev__image__eqI_0,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
cnf(cls_image__iff_2,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).
cnf(cls_synth__analz__insert__eq_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X4,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_1) ).
cnf(cls_shrK__image__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_1) ).
cnf(cls_Key__image__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_1) ).
cnf(cls_Un__mono_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_inj__onD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__onD_0) ).
cnf(cls_inj__on__def_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__def_0) ).
cnf(cls_inj__on__iff_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__iff_0) ).
cnf(cls_inj__on__contraD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inj__on__contraD_0) ).
cnf(cls_analz__Crypt__if_0,axiom,
( 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)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
cnf(cls_spies__Notes__rev_0,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,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,X1),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__Notes__rev_0) ).
cnf(cls_Fake__parts__insert_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
cnf(cls_sup1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_conjecture_13,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
cnf(cls_ns__sharedp_OFake_0,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
cnf(cls_analz__cut_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cut_0) ).
cnf(cls_synth__cut_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__cut_0) ).
cnf(cls_append1__eq__conv_0,axiom,
( X1 = X4
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).
cnf(cls_append1__eq__conv_1,axiom,
( X2 = X5
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).
cnf(cls_set__ConsD_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| X1 = X4
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X4,X2,X3),X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
cnf(cls_analz__Un_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Un_0) ).
cnf(cls_synth__Un_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__Un_0) ).
cnf(cls_parts__Un__subset1_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un__subset1_0) ).
cnf(cls_parts__Un__subset2_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un__subset2_0) ).
cnf(cls_parts__insert__subset__Un_0,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X3),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,X3,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
cnf(cls_analz__synth__Un_0,axiom,
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
cnf(cls_injD_0,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_injD_0) ).
cnf(cls_new__keys__not__used_0,axiom,
( 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)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
cnf(cls_spies__Notes__rev_1,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__Notes__rev_1) ).
cnf(cls_Crypt__synth__analz_0,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
cnf(cls_Crypt__synth__analz_1,axiom,
( c_in(c_Message_Omsg_OCrypt(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)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__analz_1) ).
cnf(cls_Un__least_0,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))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).
cnf(cls_Un__subset__iff_2,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))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_pushes_I12_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I12_J_0) ).
cnf(cls_analz__shrK__Decrypt_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
cnf(cls_append__in__lists__conv_2,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))
| ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__in__lists__conv_2) ).
cnf(cls_Crypt__Spy__analz__bad_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
cnf(cls_pushes_I6_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I6_J_0) ).
cnf(cls_pushes_I5_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I5_J_0) ).
cnf(cls_Un__assoc_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
cnf(cls_analz__image__freshK__simps_I65_J_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(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
cnf(cls_Un__left__commute_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
cnf(cls_parts__insert__Crypt_0,axiom,
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
cnf(cls_spies__Gets__rev_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__Gets__rev_0) ).
cnf(cls_list__inter_Osimps_I2_J_0,axiom,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X2,X4,X3),X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I2_J_0) ).
cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
cnf(cls_Un__subset__iff_0,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
cnf(cls_Un__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
cnf(cls_knows__subset__knows__Gets_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
cnf(cls_knows__subset__knows__Notes_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
cnf(cls_UnE_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Gets_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
cnf(cls_knows__Spy__subset__knows__Spy__Notes_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
cnf(cls_Compl__subset__Compl__iff_0,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
cnf(cls_subset__insert_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_0) ).
cnf(cls_subset__insert__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
cnf(cls_Spy__analz__shrK_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
cnf(cls_Spy__see__shrK_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
cnf(cls_insert__mono_0,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_knows__Says_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).
cnf(cls_pushes_I9_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I9_J_0) ).
cnf(cls_pushes_I8_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I8_J_0) ).
cnf(cls_knows__Spy__Says_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
cnf(cls_analz__Decrypt_H_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
cnf(cls_analz__insert_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert_0) ).
cnf(cls_synth__insert_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__insert_0) ).
cnf(cls_parts__insert__subset_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
cnf(cls_pushes_I2_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I2_J_0) ).
cnf(cls_pushes_I1_J_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I1_J_0) ).
cnf(cls_insert__subset_2,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_Says__imp__analz__Spy_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
cnf(cls_Says__imp__parts__knows__Spy_0,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
cnf(cls_append__in__lists__conv_0,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__in__lists__conv_0) ).
cnf(cls_append__in__lists__conv_1,axiom,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__in__lists__conv_1) ).
cnf(cls_Un__insert__left_0,axiom,
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
cnf(cls_Un__insert__right_0,axiom,
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
cnf(cls_conjecture_5,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_sup1CI_1,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
cnf(cls_sup1CI_0,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
cnf(cls_Says__imp__knows_0,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
cnf(cls_Says__imp__spies_0,axiom,
( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
cnf(cls_subset__insert_1,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).
cnf(cls_subset__insert__iff_2,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
cnf(cls_analz__insertI_0,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
cnf(cls_parts__insertI_0,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
cnf(cls_Says__imp__used_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
cnf(cls_Spy__spies__bad__privateKey_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
cnf(cls_insert__subset_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
cnf(cls_Spy__analz__shrK_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
cnf(cls_Spy__see__shrK_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
cnf(cls_Compl__anti__mono_0,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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__anti__mono_0) ).
cnf(cls_Compl__subset__Compl__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
cnf(cls_set__subset__Cons_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
cnf(cls_analz_ODecrypt_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
cnf(cls_le__sup__iff_2,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
cnf(cls_sup__least_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__least_0) ).
cnf(cls_le__supI_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).
cnf(cls_Fake__analz__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
cnf(cls_analz__Crypt__if_1,axiom,
( 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(X3),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
cnf(cls_knows__subset__knows__Cons_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
cnf(cls_inf__sup__aci_I6_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_sup__assoc_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
cnf(cls_inf__sup__aci_I7_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
cnf(cls_sup__left__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
cnf(cls_analz__cong_0,axiom,
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X2)
| c_Message_Oanalz(X3) != c_Message_Oanalz(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cong_0) ).
cnf(cls_knows__Spy__Notes_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
cnf(cls_gen__analz__insert__eq_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
cnf(cls_MPair__synth__analz_2,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)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_2) ).
cnf(cls_append__Cons_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Cons_0) ).
cnf(cls_append__eq__Cons__conv_5,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).
cnf(cls_append__eq__append__conv2_4,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv2_4) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__assoc_0) ).
cnf(cls_Cons__eq__appendI_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__appendI_0) ).
cnf(cls_Cons__eq__append__conv_5,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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).
cnf(cls_append__eq__append__conv2_5,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).
cnf(cls_append__eq__appendI_0,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__appendI_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
cnf(cls_subset__trans_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_in__lists__conv__set_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3)
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__lists__conv__set_0) ).
cnf(cls_Notes__imp__knows__Spy_0,axiom,
( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
cnf(cls_distinct_Osimps_I2_J_0,axiom,
( ~ c_in(X1,c_List_Oset(X2,X3),X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_0) ).
cnf(cls_le__supE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).
cnf(cls_le__sup__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
cnf(cls_le__supE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).
cnf(cls_le__sup__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_analz__analz__Un_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))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
cnf(cls_insertE_0,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).
cnf(cls_analz__insert__Key_0,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
cnf(cls_Un__left__absorb_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
cnf(cls_subset__insertI2_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_synth_OCrypt_0,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(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
cnf(cls_list__inter_Osimps_I2_J_1,axiom,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist__inter(X2,X4,X3)
| c_in(X1,c_List_Oset(X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I2_J_1) ).
cnf(cls_UnCI_1,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).
cnf(cls_UnCI_0,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).
cnf(cls_insert__code_2,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
cnf(cls_Crypt__synth__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_0) ).
cnf(cls_Crypt__synth_1,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
cnf(cls_Crypt__synth__eq_1,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_1) ).
cnf(cls_ComplD_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplD_0) ).
cnf(cls_insert__ident_0,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).
cnf(cls_remdups_Osimps_I2_J_1,axiom,
( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups_Osimps_I2_J_1) ).
cnf(cls_analz__trans_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__trans_0) ).
cnf(cls_synth__trans_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__trans_0) ).
cnf(cls_parts__trans_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__trans_0) ).
cnf(cls_Crypt__synth_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
cnf(cls_MPair__synth_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
cnf(cls_MPair__synth_1,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
cnf(cls_synth_OMPair_0,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(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
cnf(cls_Crypt__imp__keysFor_0,axiom,
( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(cls_set__mp_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
cnf(cls_subsetD_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).
cnf(cls_set__rev__mp_0,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
cnf(cls_subset__iff_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_length__unique_Osimps_I2_J_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_length__unique_Osimps_I2_J_0) ).
cnf(cls_remdups_Osimps_I2_J_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups_Osimps_I2_J_0) ).
cnf(cls_le__supI1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).
cnf(cls_le__supI2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).
cnf(cls_knows__Gets_0,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 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
cnf(cls_set__append_0,axiom,
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__append_0) ).
cnf(cls_knows__Notes_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
cnf(cls_insertCI_0,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
cnf(cls_insert__iff_2,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).
cnf(cls_privateKey__into__used_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
cnf(cls_equalityI_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_set__eq__subset_2,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_Gets__imp__knows__agents_0,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
cnf(cls_Notes__imp__knows_0,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
cnf(cls_parts__Un_0,axiom,
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un_0) ).
cnf(cls_parts__insert__Key_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
cnf(cls_order__trans_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
cnf(cls_xt1_I6_J_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
cnf(cls_knows__Spy__Notes_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
cnf(cls_Un__upper1_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
cnf(cls_Un__upper2_0,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
cnf(cls_neg__le__iff__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__iff__le_0) ).
cnf(cls_analz__insert__cong_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X3,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
cnf(cls_synth__analz__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
cnf(cls_Spy__spies__bad__shrK_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
cnf(cls_MPair__synth__analz_0,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
cnf(cls_MPair__synth__analz_1,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
cnf(cls_distinct_Osimps_I2_J_2,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_2) ).
cnf(cls_usedI_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_inf__sup__aci_I8_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_sup__left__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
cnf(cls_append__eq__Cons__conv_4,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_4) ).
cnf(cls_Cons__eq__append__conv_4,axiom,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_4) ).
cnf(cls_Notes__imp__used_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
cnf(cls_analz__subset__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
cnf(cls_synth__subset__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
cnf(cls_parts__subset__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
cnf(cls_insert__absorb2_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_minus__le__iff_1,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).
cnf(cls_minus__le__iff_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).
cnf(cls_le__minus__iff_1,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_1) ).
cnf(cls_le__minus__iff_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).
cnf(cls_analz__subset__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
cnf(cls_synth__subset__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
cnf(cls_parts__subset__iff_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
cnf(cls_not__symKeys__priK_0,axiom,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
cnf(cls_Key__synth_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth_0) ).
cnf(cls_analz__insert__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
cnf(cls_parts__cut__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
cnf(cls_distinct_Osimps_I2_J_1,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I2_J_1) ).
cnf(cls_distinct__append_0,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X1,X3,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__append_0) ).
cnf(cls_distinct__append_1,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X3,X1,X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__append_1) ).
cnf(cls_keysFor__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__mono_0) ).
cnf(cls_analz__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono_0) ).
cnf(cls_synth__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__mono_0) ).
cnf(cls_parts__mono_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__mono_0) ).
cnf(cls_analz__spies__pubK_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
cnf(cls_Key__synth__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth__eq_1) ).
cnf(cls_List_Oset_Osimps_I2_J_0,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
cnf(cls_subset__Un__eq_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 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_Un__absorb2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
cnf(cls_Un__absorb1_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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
cnf(cls_rev__predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
cnf(cls_predicate1D_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_le__imp__neg__le_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).
cnf(cls_conjecture_12,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
cnf(cls_MPair__used_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_0) ).
cnf(cls_MPair__used_1,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_1) ).
cnf(cls_analz_OFst_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
cnf(cls_analz_OSnd_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
cnf(cls_parts_OBody_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
cnf(cls_parts_OFst_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
cnf(cls_parts_OSnd_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
cnf(cls_Crypt__imp__invKey__keysFor_0,axiom,
( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
cnf(cls_conjecture_6,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_analz__insert__Nonce_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
cnf(cls_analz__insert__Agent_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
cnf(cls_parts__insert__Nonce_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
cnf(cls_parts__insert__Agent_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
cnf(cls_subset__insertI_0,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_order__eq__iff_2,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_order__antisym_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
cnf(cls_order__antisym__conv_0,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
cnf(cls_ComplI_0,axiom,
( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplI_0) ).
cnf(cls_knows__Spy__Gets_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
cnf(cls_Compl__partition2_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__partition2_0) ).
cnf(cls_Compl__partition_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__partition_0) ).
cnf(cls_spies__pubK_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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
cnf(cls_event_Osimps_I1_J_0,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
cnf(cls_list_Oinject_0,axiom,
( X1 = X4
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
cnf(cls_append__same__eq_0,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__same__eq_0) ).
cnf(cls_same__append__eq_0,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_same__append__eq_0) ).
cnf(cls_event_Osimps_I1_J_1,axiom,
( X2 = X5
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
cnf(cls_list_Oinject_1,axiom,
( X2 = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
cnf(cls_event_Osimps_I1_J_2,axiom,
( X3 = X6
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
cnf(cls_analz__analzD_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
cnf(cls_synth__synthD_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
cnf(cls_parts__partsD_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__partsD_0) ).
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
cnf(cls_sup__ge1_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
cnf(cls_inf__sup__ord_I4_J_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_sup__ge2_0,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
cnf(cls_keysFor__insert__MPair_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
cnf(cls_used__Gets_0,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Gets_0) ).
cnf(cls_Nonce__synth__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth__eq_0) ).
cnf(cls_Nonce__synth_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
cnf(cls_insertCI_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).
cnf(cls_insert__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
cnf(cls_Nonce__synth__eq_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth__eq_1) ).
cnf(cls_publicKey__into__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oused(X3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
cnf(cls_keysFor__insert__Key_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
cnf(cls_Un__UNIV__left_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_Un__UNIV__right_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_Un__commute_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
cnf(cls_analz__conj__parts_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
cnf(cls_analz__into__parts_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
cnf(cls_not__parts__not__analz_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
cnf(cls_le__iff__sup_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_sup__absorb1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
cnf(cls_le__iff__sup_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
cnf(cls_shrK__in__knows_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
cnf(cls_Crypt__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
cnf(cls_analz_OInj_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
cnf(cls_synth_OInj_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
cnf(cls_parts_OInj_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
cnf(cls_symKeys__invKey__iff_0,axiom,
( c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
cnf(cls_insert__absorb_0,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
cnf(cls_not__symKeys__pubK_0,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
cnf(cls_symKeys__invKey__iff_1,axiom,
( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
cnf(cls_top1I_0,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).
cnf(cls_parts__knows__Spy__subset__used_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
cnf(cls_subset__UNIV_0,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_neq__shrK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
cnf(cls_shrK__in__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
cnf(cls_keysFor__insert__Nonce_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
cnf(cls_keysFor__insert__Agent_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
cnf(cls_Nonce__supply1_0,axiom,
~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__supply1_0) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Compl__eq__Compl__iff_0,axiom,
( X1 = X3
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_inf__sup__aci_I5_J_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
cnf(cls_sup__commute_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
cnf(cls_Nonce__notin__used__empty_0,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
cnf(cls_double__complement_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(cls_event_Osimps_I4_J_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
cnf(cls_event_Osimps_I6_J_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
cnf(cls_event_Osimps_I5_J_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
cnf(cls_event_Osimps_I7_J_0,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
cnf(cls_UNIV__I_0,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_conjecture_11,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('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_privateKey__neq__publicKey_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OpublicKey(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
cnf(cls_publicKey__neq__privateKey_0,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X3),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
cnf(cls_append__is__Nil__conv_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).
cnf(cls_append__is__Nil__conv_1,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).
cnf(cls_Nil__is__append__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_0) ).
cnf(cls_Nil__is__append__conv_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).
cnf(cls_analz__synth_0,axiom,
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth_0) ).
cnf(cls_parts__synth_0,axiom,
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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__synth_0) ).
cnf(cls_used__nil__subset_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)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
cnf(cls_lists_ONil_0,axiom,
c_in(c_List_Olist_ONil(X1),c_List_Olists(X2,X1),tc_List_Olist(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lists_ONil_0) ).
cnf(cls_append__self__conv2_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__self__conv2_0) ).
cnf(cls_append__self__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__self__conv_0) ).
cnf(cls_self__append__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_0) ).
cnf(cls_self__append__conv2_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_0) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
cnf(cls_neq__Nil__conv_1,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
cnf(cls_list_Osimps_I2_J_0,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
cnf(cls_compl__sup__top_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).
cnf(cls_sup__compl__top_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__compl__top_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
cnf(cls_not__Cons__self2_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
cnf(cls_not__Cons__self_0,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
cnf(cls_analz__subset__parts_0,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
cnf(cls_invKey__K_0,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).
cnf(cls_shrK__neq__priK_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
cnf(cls_priK__neq__shrK_0,axiom,
hAPP(c_Public_OshrK,X1) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
cnf(cls_synth__increasing_0,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Server__not__bad_0,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
cnf(cls_subset__refl_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
cnf(cls_sym__shrK_0,axiom,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
cnf(cls_sup__top__left_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_sup__top__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_append__is__Nil__conv_2,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__is__Nil__conv_2) ).
cnf(cls_Nil__is__append__conv_2,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__append__conv_2) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__greatest_0) ).
cnf(cls_publicKey__inject_0,axiom,
( X1 = X3
| hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
cnf(cls_publicKey__inject_1,axiom,
( X2 = X4
| hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
cnf(cls_synth_OAgent_0,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OAgent_0) ).
cnf(cls_Agent__synth_0,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
cnf(cls_list__inter_Osimps_I1_J_0,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__inter_Osimps_I1_J_0) ).
cnf(cls_sup__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
cnf(cls_order__eq__refl_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
cnf(cls_order__eq__iff_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
cnf(cls_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil_0) ).
cnf(cls_append__Nil2_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil2_0) ).
cnf(cls_eq__Nil__appendI_0,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(cls_self__append__conv2_1,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
cnf(cls_self__append__conv_1,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
cnf(cls_ns__shared_ONil_0,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X1,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_set__remdups_0,axiom,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__remdups_0) ).
cnf(cls_compl__eq__compl__iff_0,axiom,
( X2 = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
cnf(cls_neg__equal__iff__equal_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).
cnf(cls_shrK__neq__pubK_0,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__pubK_0) ).
cnf(cls_pubK__neq__shrK_0,axiom,
hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OpublicKey(X2),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Spy__in__bad_0,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
cnf(cls_double__compl_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
cnf(cls_minus__equation__iff_1,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
cnf(cls_minus__minus_0,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).
cnf(cls_equation__minus__iff_1,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).
cnf(cls_equation__minus__iff_0,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_0) ).
cnf(cls_msg_Osimps_I7_J_0,axiom,
( X1 = X3
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
cnf(cls_msg_Osimps_I6_J_0,axiom,
( X1 = X3
| c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
cnf(cls_event_Osimps_I2_J_0,axiom,
( X1 = X3
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
cnf(cls_event_Osimps_I3_J_0,axiom,
( X1 = X3
| c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
cnf(cls_msg_Osimps_I7_J_1,axiom,
( X2 = X4
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
cnf(cls_msg_Osimps_I6_J_1,axiom,
( X2 = X4
| c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
cnf(cls_event_Osimps_I2_J_1,axiom,
( X2 = X4
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
cnf(cls_event_Osimps_I3_J_1,axiom,
( X2 = X4
| c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
cnf(cls_msg_Osimps_I49_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
cnf(cls_msg_Osimps_I48_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
cnf(cls_event_Osimps_I8_J_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
cnf(cls_event_Osimps_I9_J_0,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
cnf(cls_msg_Osimps_I42_J_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I42_J_0) ).
cnf(cls_msg_Osimps_I40_J_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
cnf(cls_msg_Osimps_I43_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
cnf(cls_msg_Osimps_I41_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
cnf(cls_shrK__injective_0,axiom,
( X1 = X2
| hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
cnf(cls_msg_Osimps_I4_J_0,axiom,
( X1 = X2
| hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
cnf(cls_distinct__remdups_0,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups_0) ).
cnf(cls_invKey__shrK_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
cnf(cls_remdups__id__iff__distinct_0,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__id__iff__distinct_0) ).
cnf(cls_distinct__remdups__id_0,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct__remdups__id_0) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
| ~ class_Lattices_Oboolean__algebra(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
cnf(clsarity_fun__Orderings_Oorder,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(cls_remdups__eq__nil__iff_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_0) ).
cnf(cls_remdups__eq__nil__right__iff_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oremdups(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_0) ).
cnf(cls_msg_Osimps_I37_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
cnf(cls_msg_Osimps_I19_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
cnf(cls_msg_Osimps_I35_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
cnf(cls_msg_Osimps_I17_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
cnf(cls_msg_Osimps_I36_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
cnf(cls_msg_Osimps_I34_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
cnf(cls_msg_Osimps_I18_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
cnf(cls_msg_Osimps_I16_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
cnf(cls_msg_Osimps_I31_J_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
cnf(cls_msg_Osimps_I13_J_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
cnf(cls_msg_Osimps_I30_J_0,axiom,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I30_J_0) ).
cnf(cls_msg_Osimps_I12_J_0,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
cnf(cls_remdups__eq__nil__iff_1,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__iff_1) ).
cnf(cls_remdups__eq__nil__right__iff_1,axiom,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_remdups__eq__nil__right__iff_1) ).
cnf(cls_distinct_Osimps_I1_J_0,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_distinct_Osimps_I1_J_0) ).
cnf(cls_msg_Osimps_I3_J_0,axiom,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
cnf(cls_msg_Osimps_I1_J_0,axiom,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
cnf(cls_invKey__eq_0,axiom,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_synth__idem_0,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_msg_Osimps_I11_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
cnf(cls_msg_Osimps_I10_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
cnf(cls_invKey_0,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
cnf(cls_ns__sharedp_ONil_0,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(cls_agent_Osimps_I5_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
cnf(cls_agent_Osimps_I4_J_0,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(cls_conjecture_8,negated_conjecture,
v_NA = v_NAa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_conjecture_10,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_conjecture_9,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_conjecture_7,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(i_0_577,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(X3),tc_Message_Omsg) ),
inference(fof_simplification,[status(thm)],[cls_analz__image__freshK__lemma_1]) ).
cnf(i_0_578,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(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_analz__image__freshK__lemma_5 ).
cnf(i_0_579,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(X1,X2,tc_nat) ),
cls_analz__image__freshK__lemma_2 ).
cnf(i_0_580,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(fof_simplification,[status(thm)],[cls_analz__image__freshK__lemma_0]) ).
cnf(i_0_581,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) ),
cls_knows__imp__Says__Gets__Notes__initState_0 ).
cnf(i_0_582,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
cls_knows__Nil_0 ).
cnf(i_0_583,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_OinitState(X2),tc_Message_Omsg),
cls_priK__in__initState_0 ).
cnf(i_0_584,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg) ),
cls_initState__into__used_0 ).
cnf(i_0_585,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_OinitState(X3)),tc_Message_Omsg),
cls_Crypt__notin__initState_0 ).
cnf(i_0_586,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_OinitState(X2)),tc_Message_Omsg),
cls_Nonce__notin__initState_0 ).
cnf(i_0_587,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_OinitState(X3),tc_Message_Omsg),
cls_publicKey__in__initState_0 ).
cnf(i_0_588,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_OinitState(X1),tc_Message_Omsg),
cls_shrK__in__initState_0 ).
cnf(i_0_589,axiom,
c_lessequals(c_Event_OinitState(X1),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_initState__subset__knows_0 ).
cnf(i_0_590,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)))))))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Message_OsymKeys,tc_nat)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_ONS2_0,
[final] ).
cnf(i_0_591,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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)))))))),X5,tc_Event_Oevent))
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_ONonce(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X5) ),
cls_ns__sharedp_ONS2_0,
[final] ).
cnf(i_0_592,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__Xsecrecy__lemma__1(X1,X3,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,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(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ 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,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),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_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_secrecy__lemma_0,
[final] ).
cnf(i_0_593,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| 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(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),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(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),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)) ),
cls_B__trusts__NS5__lemma_0,
[final] ).
cnf(i_0_594,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(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X1,X2,X3,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ 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,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
cls_B__trusts__NS3_0,
[final] ).
cnf(i_0_595,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,X3,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,X3,tc_nat,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_lessequals(X3,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(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_analz__image__freshK_0,
[final] ).
cnf(i_0_596,axiom,
( X1 = X2
| ~ c_in(X3,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(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,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(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_0,
[final] ).
cnf(i_0_597,axiom,
( X1 = X2
| ~ c_in(X3,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(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_1,
[final] ).
cnf(i_0_598,axiom,
( X1 = X2
| ~ c_in(X3,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(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_2,
[final] ).
cnf(i_0_599,axiom,
( X1 = X2
| ~ c_in(X3,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(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X1))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_3,
[final] ).
cnf(i_0_600,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),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),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,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_analz__image__freshK_2,
[final] ).
cnf(i_0_601,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),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,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(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_analz__image__freshK_1,
[final] ).
cnf(i_0_602,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),hAPP(c_Message_Omsg_OKey,X3)))),X4,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,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_OOops_0,
[final] ).
cnf(i_0_603,axiom,
( c_in(X3,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__XSpy__not__see__encrypted__key__1(X1,X5,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ 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(X6,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Spy__not__see__encrypted__key_0,
[final] ).
cnf(i_0_604,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X9,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_ONS5_0,
[final] ).
cnf(i_0_605,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(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X2),hAPP(c_Message_Omsg_OKey,X3)))),X4,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X2))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X4) ),
cls_ns__sharedp_OOops_0,
[final] ).
cnf(i_0_606,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),X5,tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X8))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X9,X1,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X5) ),
cls_ns__sharedp_ONS5_0,
[final] ).
cnf(i_0_607,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| X1 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_ONS3_0,
[final] ).
cnf(i_0_608,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X3,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_in(c_Event_Oevent_OSays(X4,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__S__message__form_0,
[final] ).
cnf(i_0_609,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent))
| X1 = c_Message_Oagent_OServer
| ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X5)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X3))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X4) ),
cls_ns__sharedp_ONS3_0,
[final] ).
cnf(i_0_610,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(X2,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(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_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__Server__message__form_0,
[final] ).
cnf(i_0_611,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X2))))),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)) ),
cls_NS4__implies__NS3_0,
[final] ).
cnf(i_0_612,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_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),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(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),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)) ),
cls_A__trusts__NS4__lemma_0,
[final] ).
cnf(i_0_613,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(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) ),
cls_A__trusts__NS2_0,
[final] ).
cnf(i_0_614,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_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(X6,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X3,X6,X5),hAPP(c_Message_Omsg_OKey,X3)))),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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_A__trusts__NS4_0,
[final] ).
cnf(i_0_615,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),c_Message_Omsg_OAgent(X5)))
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X6,X5,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__S__message__form_1,
[final] ).
cnf(i_0_616,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| ~ 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,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__Server__message__form_1,
[final] ).
cnf(i_0_617,axiom,
( X1 = hAPP(c_Public_OshrK,X2)
| ~ c_in(X3,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(X1,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__Server__message__form_2,
[final] ).
cnf(i_0_618,axiom,
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ 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_in(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,X1),X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_cert__A__form_0,
[final] ).
cnf(i_0_619,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) ),
cls_analz__image__freshK__lemma_4,
[final] ).
cnf(i_0_620,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(X3),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
cls_analz__image__freshK__lemma_3,
[final] ).
cnf(i_0_621,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(X3),tc_Message_Omsg) ),
c_0_577,
[final] ).
cnf(i_0_622,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(X3),tc_Message_Omsg) ),
inference(cn,[status(thm)],[i_0_578]),
[final] ).
cnf(i_0_623,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(cn,[status(thm)],[i_0_579]),
[final] ).
cnf(i_0_624,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_580,
[final] ).
cnf(i_0_625,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(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_A__authenticates__and__keydist__to__B_0,
[final] ).
cnf(i_0_626,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,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(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X3,X5),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X3,X5),hAPP(c_Message_Omsg_OKey,X3)))),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(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_B__trusts__NS5_0,
[final] ).
cnf(i_0_627,axiom,
( c_lessequals(c_Set_Oimage(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3,X4),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(X1,X2,X3,X4),tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__Compl__subset_0,
[final] ).
cnf(i_0_628,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))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__subset__iff_0,
[final] ).
cnf(i_0_629,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) ),
cls_conjecture_14,
[final] ).
cnf(i_0_630,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),X5,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_ONS4_0,
[final] ).
cnf(i_0_631,axiom,
( X1 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X4)))
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X5,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(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_cert__A__form_1,
[final] ).
cnf(i_0_632,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),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(X5,c_Message_Omsg_OMPair(X1,X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Oops__parts__spies_0,
[final] ).
cnf(i_0_633,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),X5,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X4),c_Event_Oused(X5),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X6,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X2)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X5) ),
cls_ns__sharedp_ONS4_0,
[final] ).
cnf(i_0_634,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))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__subset__iff_1,
[final] ).
cnf(i_0_635,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| ~ c_in(X4,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X4,X3,tc_Message_Omsg))),tc_nat) ),
cls_keysFor__parts__insert_0,
[final] ).
cnf(i_0_636,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,c_Message_Omsg_OCrypt(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(X8,X1))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_NS3__msg__in__parts__spies_0,
[final] ).
cnf(i_0_637,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| X1 = X3
| c_in(X3,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,X3),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)) ),
cls_analz__insert__freshK_0,
[final] ).
cnf(i_0_638,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) ),
cls_Issues__def_0,
[final] ).
cnf(i_0_639,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_analz__mono__contra_I1_J_0,
[final] ).
cnf(i_0_640,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X3,X4))
| ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3) ),
cls_rangeE_0,
[final] ).
cnf(i_0_641,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),
cls_analz__image__freshK__simps_I57_J_0,
[final] ).
cnf(i_0_642,axiom,
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)),
cls_image__Un_0,
[final] ).
cnf(i_0_643,axiom,
( c_in(X1,X2,X3)
| ~ c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__image__mem__iff_0,
[final] ).
cnf(i_0_644,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un__image__eq__iff_0,
[final] ).
cnf(i_0_645,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X2),c_Event_Oknows(c_Message_Oagent_OSpy,X3),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,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)) ),
cls_analz__insert__freshK_2,
[final] ).
cnf(i_0_646,axiom,
( X2 = X5
| c_Set_Oimage(X1,X2,X3,X4) != c_Set_Oimage(X1,X5,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__image__eq__iff_0,
[final] ).
cnf(i_0_647,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)) ),
cls_analz__insert__freshK_1,
[final] ).
cnf(i_0_648,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)) ),
cls_image__mono_0,
[final] ).
cnf(i_0_649,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)) ),
cls_subset__image__iff_2,
[final] ).
cnf(i_0_650,axiom,
( c_lessequals(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,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(X3)),tc_Message_Omsg) ),
cls_Fake__analz__insert_0,
[final] ).
cnf(i_0_651,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__image__mem__iff_1,
[final] ).
cnf(i_0_652,axiom,
( c_lessequals(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_lemma2_0,
[final] ).
cnf(i_0_653,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))
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_lemma1_0,
[final] ).
cnf(i_0_654,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X4,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_ONS1_0,
[final] ).
cnf(i_0_655,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) ),
cls_Key__not__used_0,
[final] ).
cnf(i_0_656,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,X5,X6)
| ~ c_lessequals(c_Set_Oimage(X1,X5,X6,X4),X3,tc_fun(X4,tc_bool)) ),
cls_image__subset__iff_0,
[final] ).
cnf(i_0_657,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(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) ),
cls_B__Issues__A_0,
[final] ).
cnf(i_0_658,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),
cls_privateKey__notin__image__publicKey_0,
[final] ).
cnf(i_0_659,axiom,
( c_in(X1,X2,tc_Message_Oagent)
| ~ c_in(hAPP(c_Public_OpublicKey(X3),X1),c_Set_Oimage(c_Public_OpublicKey(X4),X2,tc_Message_Oagent,tc_nat),tc_nat) ),
cls_publicKey__image__eq_1,
[final] ).
cnf(i_0_660,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)),
cls_analz__insert__Crypt__subset_0,
[final] ).
cnf(i_0_661,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),
cls_privateKey__notin__image__shrK_0,
[final] ).
cnf(i_0_662,axiom,
( c_lessequals(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))),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X4),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X3),tc_fun(tc_Message_Omsg,tc_bool)) ),
cls_analz__subset__cong_0,
[final] ).
cnf(i_0_663,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_ONonce(X3)))),X4,tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(X3),c_Event_Oused(X4),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X4) ),
cls_ns__sharedp_ONS1_0,
[final] ).
cnf(i_0_664,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) ),
cls_Key__image__eq_0,
[final] ).
cnf(i_0_665,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) ),
cls_shrK__image__eq_0,
[final] ).
cnf(i_0_666,axiom,
( X1 = X2
| ~ c_in(hAPP(c_Public_OpublicKey(X1),X3),c_Set_Oimage(c_Public_OpublicKey(X2),X4,tc_Message_Oagent,tc_nat),tc_nat) ),
cls_publicKey__image__eq_0,
[final] ).
cnf(i_0_667,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),
cls_analz__image__freshK__simps_I56_J_0,
[final] ).
cnf(i_0_668,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),
cls_image__insert_0,
[final] ).
cnf(i_0_669,axiom,
( c_Set_Oinsert(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5) = c_Set_Oimage(X1,X3,X4,X5)
| ~ c_in(X2,X3,X4) ),
cls_insert__image_0,
[final] ).
cnf(i_0_670,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OshrK,X3,tc_Message_Oagent,tc_nat),tc_nat),
cls_publicKey__notin__image__shrK_0,
[final] ).
cnf(i_0_671,axiom,
~ c_in(hAPP(c_Public_OshrK,X1),c_Set_Oimage(c_Public_OpublicKey(X2),X3,tc_Message_Oagent,tc_nat),tc_nat),
cls_shrK__notin__image__publicKey_0,
[final] ).
cnf(i_0_672,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_analz__mono__contra_I3_J_0,
[final] ).
cnf(i_0_673,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X4),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_analz__mono__contra_I2_J_0,
[final] ).
cnf(i_0_674,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),
cls_Crypt__notin__image__Key_0,
[final] ).
cnf(i_0_675,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X5,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un_0,
[final] ).
cnf(i_0_676,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X5,X2,tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__on__Un_1,
[final] ).
cnf(i_0_677,axiom,
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),
cls_analz__insert__MPair_0,
[final] ).
cnf(i_0_678,axiom,
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),
cls_parts__insert__MPair_0,
[final] ).
cnf(i_0_679,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(X4,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X4,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_parts__cut_0,
[final] ).
cnf(i_0_680,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
cls_Nonce__Key__image__eq_0,
[final] ).
cnf(i_0_681,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),
cls_spies__Says__rev_0,
[final] ).
cnf(i_0_682,plain,
( X2 = c_Message_Oagent_OSpy
| c_in(X1,c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),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)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(rw,[status(thm)],[i_0_581,c_0_582]),
[final] ).
cnf(i_0_683,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X5,X2,X3),X3,X4) ),
cls_inj__on__insert_0,
[final] ).
cnf(i_0_684,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X2,X4),X4) ),
cls_in__set__conv__decomp__first_2,
[final] ).
cnf(i_0_685,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X3,X4),X4) ),
cls_in__set__conv__decomp__last_2,
[final] ).
cnf(i_0_686,axiom,
( c_in(X1,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_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_Fake__parts__insert__in__Un_0,
[final] ).
cnf(i_0_687,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_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_lessequals(X4,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
cls_synth__analz__insert__eq_0,
[final] ).
cnf(i_0_688,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)),
cls_knows__subset__knows__Says_0,
[final] ).
cnf(i_0_689,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X1,X5,X3,X4) ),
cls_subset__inj__on_0,
[final] ).
cnf(i_0_690,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)),
cls_knows__Spy__subset__knows__Spy__Says_0,
[final] ).
cnf(i_0_691,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),
cls_analz__image__Key_0,
[final] ).
cnf(i_0_692,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),
cls_parts__image__Key_0,
[final] ).
cnf(i_0_693,axiom,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
cls_in__set__conv__decomp_1,
[final] ).
cnf(i_0_694,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,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,X3))),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_ns__shared_OFake_0,
[final] ).
cnf(i_0_695,axiom,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
cls_rangeI_0,
[final] ).
cnf(i_0_696,axiom,
( c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Set_Oimage(c_Public_OpublicKey(X1),X3,tc_Message_Oagent,tc_nat),tc_nat)
| ~ c_in(X2,X3,tc_Message_Oagent) ),
cls_publicKey__image__eq_2,
[final] ).
cnf(i_0_697,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(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
cls_in__parts__UnE_0,
[final] ).
cnf(i_0_698,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
cls_image__eqI_0,
[final] ).
cnf(i_0_699,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
cls_imageI_0,
[final] ).
cnf(i_0_700,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
cls_rev__image__eqI_0,
[final] ).
cnf(i_0_701,axiom,
( c_in(hAPP(X4,X1),c_Set_Oimage(X4,X2,X3,X5),X5)
| ~ c_in(X1,X2,X3) ),
cls_image__iff_2,
[final] ).
cnf(i_0_702,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X4,X3,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg) ),
cls_synth__analz__insert__eq_1,
[final] ).
cnf(i_0_703,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) ),
cls_shrK__image__eq_1,
[final] ).
cnf(i_0_704,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) ),
cls_Key__image__eq_1,
[final] ).
cnf(i_0_705,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__mono_0,
[final] ).
cnf(i_0_706,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5) ),
cls_inj__onD_0,
[final] ).
cnf(i_0_707,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__def_0,
[final] ).
cnf(i_0_708,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__iff_0,
[final] ).
cnf(i_0_709,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_in(X3,X4,X5)
| ~ c_in(X2,X4,X5)
| ~ c_Fun_Oinj__on(X1,X4,X5,X6) ),
cls_inj__on__contraD_0,
[final] ).
cnf(i_0_710,axiom,
( 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)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_analz__Crypt__if_0,
[final] ).
cnf(i_0_711,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,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,X1),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
cls_spies__Notes__rev_0,
[final] ).
cnf(i_0_712,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) ),
cls_Fake__parts__insert_0,
[final] ).
cnf(i_0_713,axiom,
( hBOOL(hAPP(X1,X2))
| hBOOL(hAPP(X3,X2))
| ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
cls_sup1E_0,
[final] ).
cnf(i_0_714,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),
cls_conjecture_13,
[final] ).
cnf(i_0_715,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X3) ),
cls_ns__sharedp_OFake_0,
[final] ).
cnf(i_0_716,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_analz__cut_0,
[final] ).
cnf(i_0_717,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_synth__cut_0,
[final] ).
cnf(i_0_718,axiom,
( X1 = X4
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
cls_append1__eq__conv_0,
[final] ).
cnf(i_0_719,axiom,
( X2 = X5
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
cls_append1__eq__conv_1,
[final] ).
cnf(i_0_720,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| X1 = X4
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X4,X2,X3),X3),X3) ),
cls_set__ConsD_0,
[final] ).
cnf(i_0_721,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)),
cls_analz__Un_0,
[final] ).
cnf(i_0_722,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)),
cls_synth__Un_0,
[final] ).
cnf(i_0_723,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)),
cls_parts__Un__subset1_0,
[final] ).
cnf(i_0_724,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)),
cls_parts__Un__subset2_0,
[final] ).
cnf(i_0_725,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X3),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,X3,tc_Message_Omsg) ),
cls_parts__insert__subset__Un_0,
[final] ).
cnf(i_0_726,axiom,
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)),
cls_analz__synth__Un_0,
[final] ).
cnf(i_0_727,axiom,
( X2 = X3
| hAPP(X1,X2) != hAPP(X1,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_injD_0,
[final] ).
cnf(i_0_728,axiom,
( 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)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_new__keys__not__used_0,
[final] ).
cnf(i_0_729,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
cls_spies__Notes__rev_1,
[final] ).
cnf(i_0_730,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_Crypt__synth__analz_0,
[final] ).
cnf(i_0_731,axiom,
( c_in(c_Message_Omsg_OCrypt(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)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_Crypt__synth__analz_1,
[final] ).
cnf(i_0_732,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))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__least_0,
[final] ).
cnf(i_0_733,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))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_2,
[final] ).
cnf(i_0_734,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),
cls_pushes_I12_J_0,
[final] ).
cnf(i_0_735,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz__shrK__Decrypt_0,
[final] ).
cnf(i_0_736,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))
| ~ c_in(X1,c_List_Olists(X4,X3),tc_List_Olist(X3)) ),
cls_append__in__lists__conv_2,
[final] ).
cnf(i_0_737,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_Crypt__Spy__analz__bad_0,
[final] ).
cnf(i_0_738,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),
cls_pushes_I6_J_0,
[final] ).
cnf(i_0_739,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),
cls_pushes_I5_J_0,
[final] ).
cnf(i_0_740,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)),
cls_Un__assoc_0,
[final] ).
cnf(i_0_741,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(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_analz__image__freshK__simps_I65_J_0,
[final] ).
cnf(i_0_742,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)),
cls_Un__left__commute_0,
[final] ).
cnf(i_0_743,axiom,
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),
cls_parts__insert__Crypt_0,
[final] ).
cnf(i_0_744,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),
cls_spies__Gets__rev_0,
[final] ).
cnf(i_0_745,axiom,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Olist__inter(X2,X4,X3),X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3) ),
cls_list__inter_Osimps_I2_J_0,
[final] ).
cnf(i_0_746,axiom,
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_analz__image__freshK__simps_I61_J_0,
[final] ).
cnf(i_0_747,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)) ),
cls_Un__subset__iff_0,
[final] ).
cnf(i_0_748,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
cls_Un__subset__iff_1,
[final] ).
cnf(i_0_749,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)),
cls_knows__subset__knows__Gets_0,
[final] ).
cnf(i_0_750,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)),
cls_knows__subset__knows__Notes_0,
[final] ).
cnf(i_0_751,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_UnE_0,
[final] ).
cnf(i_0_752,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)),
cls_knows__Spy__subset__knows__Spy__Gets_0,
[final] ).
cnf(i_0_753,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)),
cls_knows__Spy__subset__knows__Spy__Notes_0,
[final] ).
cnf(i_0_754,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)) ),
cls_Compl__subset__Compl__iff_0,
[final] ).
cnf(i_0_755,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert_0,
[final] ).
cnf(i_0_756,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_1,
[final] ).
cnf(i_0_757,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_758,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_Spy__analz__shrK_0,
[final] ).
cnf(i_0_759,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_Spy__see__shrK_0,
[final] ).
cnf(i_0_760,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool)) ),
cls_insert__mono_0,
[final] ).
cnf(i_0_761,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),
cls_knows__Says_0,
[final] ).
cnf(i_0_762,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),
cls_pushes_I9_J_0,
[final] ).
cnf(i_0_763,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),
cls_pushes_I8_J_0,
[final] ).
cnf(i_0_764,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),
cls_knows__Spy__Says_0,
[final] ).
cnf(i_0_765,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X3,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz__Decrypt_H_0,
[final] ).
cnf(i_0_766,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)),
cls_analz__insert_0,
[final] ).
cnf(i_0_767,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)),
cls_synth__insert_0,
[final] ).
cnf(i_0_768,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)),
cls_parts__insert__subset_0,
[final] ).
cnf(i_0_769,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),
cls_pushes_I2_J_0,
[final] ).
cnf(i_0_770,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),
cls_pushes_I1_J_0,
[final] ).
cnf(i_0_771,axiom,
( c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__subset_2,
[final] ).
cnf(i_0_772,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__imp__analz__Spy_0,
[final] ).
cnf(i_0_773,axiom,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__imp__parts__knows__Spy_0,
[final] ).
cnf(i_0_774,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)) ),
cls_append__in__lists__conv_0,
[final] ).
cnf(i_0_775,axiom,
( c_in(X1,c_List_Olists(X2,X3),tc_List_Olist(X3))
| ~ c_in(c_List_Oappend(X4,X1,X3),c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
cls_append__in__lists__conv_1,
[final] ).
cnf(i_0_776,axiom,
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),
cls_Un__insert__left_0,
[final] ).
cnf(i_0_777,axiom,
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),
cls_Un__insert__right_0,
[final] ).
cnf(i_0_778,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),
cls_conjecture_5,
[final] ).
cnf(i_0_779,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_sup1CI_1,
[final] ).
cnf(i_0_780,axiom,
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_sup1CI_0,
[final] ).
cnf(i_0_781,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_1,
[final] ).
cnf(i_0_782,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X2,X4,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__imp__knows_0,
[final] ).
cnf(i_0_783,axiom,
( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__imp__spies_0,
[final] ).
cnf(i_0_784,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert_1,
[final] ).
cnf(i_0_785,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| c_in(X2,X1,X4)
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_2,
[final] ).
cnf(i_0_786,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) ),
cls_analz__insertI_0,
[final] ).
cnf(i_0_787,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_parts__insertI_0,
[final] ).
cnf(i_0_788,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Says__imp__used_0,
[final] ).
cnf(i_0_789,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
cls_Spy__spies__bad__privateKey_0,
[final] ).
cnf(i_0_790,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_Set_Oinsert(X1,X4,X3),X2,tc_fun(X3,tc_bool)) ),
cls_insert__subset_0,
[final] ).
cnf(i_0_791,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),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)) ),
cls_Spy__analz__shrK_1,
[final] ).
cnf(i_0_792,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(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)) ),
cls_Spy__see__shrK_1,
[final] ).
cnf(i_0_793,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)) ),
cls_Compl__anti__mono_0,
[final] ).
cnf(i_0_794,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)) ),
cls_Compl__subset__Compl__iff_1,
[final] ).
cnf(i_0_795,axiom,
c_lessequals(c_List_Oset(X1,X2),c_List_Oset(c_List_Olist_OCons(X3,X1,X2),X2),tc_fun(X2,tc_bool)),
cls_set__subset__Cons_0,
[final] ).
cnf(i_0_796,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz_ODecrypt_0,
[final] ).
cnf(i_0_797,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__sup__iff_2,
[final] ).
cnf(i_0_798,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_sup__least_0,
[final] ).
cnf(i_0_799,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI_0,
[final] ).
cnf(i_0_800,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) ),
cls_Fake__analz__eq_0,
[final] ).
cnf(i_0_801,axiom,
( 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(X3),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X1)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_analz__Crypt__if_1,
[final] ).
cnf(i_0_802,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)),
cls_knows__subset__knows__Cons_0,
[final] ).
cnf(i_0_803,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I6_J_0,
[final] ).
cnf(i_0_804,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__assoc_0,
[final] ).
cnf(i_0_805,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I7_J_0,
[final] ).
cnf(i_0_806,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__commute_0,
[final] ).
cnf(i_0_807,axiom,
( c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(tc_Message_Omsg,tc_bool)))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X2)
| c_Message_Oanalz(X3) != c_Message_Oanalz(X4) ),
cls_analz__cong_0,
[final] ).
cnf(i_0_808,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) ),
cls_knows__Spy__Notes_0,
[final] ).
cnf(i_0_809,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(X2)
| ~ c_lessequals(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_gen__analz__insert__eq_0,
[final] ).
cnf(i_0_810,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)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
cls_MPair__synth__analz_2,
[final] ).
cnf(i_0_811,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__Cons_0,
[final] ).
cnf(i_0_812,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__eq__Cons__conv_5,
[final] ).
cnf(i_0_813,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__eq__append__conv2_4,
[final] ).
cnf(i_0_814,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__assoc_0,
[final] ).
cnf(i_0_815,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),
cls_Cons__eq__appendI_0,
[final] ).
cnf(i_0_816,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),
cls_Cons__eq__append__conv_5,
[final] ).
cnf(i_0_817,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
cls_append__eq__append__conv2_5,
[final] ).
cnf(i_0_818,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
cls_append__eq__appendI_0,
[final] ).
cnf(i_0_819,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
cls_insert__commute_0,
[final] ).
cnf(i_0_820,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_subset__trans_0,
[final] ).
cnf(i_0_821,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_List_Oset(X4,X3),X3)
| ~ c_in(X4,c_List_Olists(X2,X3),tc_List_Olist(X3)) ),
cls_in__lists__conv__set_0,
[final] ).
cnf(i_0_822,axiom,
( c_in(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)
| ~ c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Notes__imp__knows__Spy_0,
[final] ).
cnf(i_0_823,axiom,
( ~ c_in(X1,c_List_Oset(X2,X3),X3)
| ~ c_List_Odistinct(c_List_Olist_OCons(X1,X2,X3),X3) ),
cls_distinct_Osimps_I2_J_0,
[final] ).
cnf(i_0_824,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__supE_0,
[final] ).
cnf(i_0_825,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X3,X1) ),
cls_le__sup__iff_0,
[final] ).
cnf(i_0_826,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__supE_1,
[final] ).
cnf(i_0_827,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X4,X2,X1),X3,X1) ),
cls_le__sup__iff_1,
[final] ).
cnf(i_0_828,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))),
cls_analz__analz__Un_0,
[final] ).
cnf(i_0_829,axiom,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_Set_Oinsert(X4,X2,X3),X3) ),
cls_insertE_0,
[final] ).
cnf(i_0_830,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) ),
cls_analz__insert__Key_0,
[final] ).
cnf(i_0_831,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)),
cls_Un__left__absorb_0,
[final] ).
cnf(i_0_832,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
cls_subset__insertI2_0,
[final] ).
cnf(i_0_833,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(X2,c_Message_Osynth(X3),tc_Message_Omsg) ),
cls_synth_OCrypt_0,
[final] ).
cnf(i_0_834,axiom,
( c_List_Olist__inter(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist__inter(X2,X4,X3)
| c_in(X1,c_List_Oset(X4,X3),X3) ),
cls_list__inter_Osimps_I2_J_1,
[final] ).
cnf(i_0_835,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
cls_UnCI_1,
[final] ).
cnf(i_0_836,axiom,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
cls_UnCI_0,
[final] ).
cnf(i_0_837,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_838,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) ),
cls_Crypt__synth__eq_0,
[final] ).
cnf(i_0_839,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) ),
cls_Crypt__synth_1,
[final] ).
cnf(i_0_840,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) ),
cls_Crypt__synth__eq_1,
[final] ).
cnf(i_0_841,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3) ),
cls_ComplD_0,
[final] ).
cnf(i_0_842,axiom,
( c_in(X1,X4,X3)
| c_in(X1,X2,X3)
| X2 = X4
| c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3) ),
cls_insert__ident_0,
[final] ).
cnf(i_0_843,axiom,
( c_List_Oremdups(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremdups(X2,X3),X3)
| c_in(X1,c_List_Oset(X2,X3),X3) ),
cls_remdups_Osimps_I2_J_1,
[final] ).
cnf(i_0_844,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_analz__trans_0,
[final] ).
cnf(i_0_845,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
cls_synth__trans_0,
[final] ).
cnf(i_0_846,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X3,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_parts__trans_0,
[final] ).
cnf(i_0_847,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X3,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_Crypt__synth_0,
[final] ).
cnf(i_0_848,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_MPair__synth_0,
[final] ).
cnf(i_0_849,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_MPair__synth_1,
[final] ).
cnf(i_0_850,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(rw,[status(thm)],[i_0_583,c_0_582]),
[final] ).
cnf(i_0_851,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(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
cls_synth_OMPair_0,
[final] ).
cnf(i_0_852,axiom,
( c_in(X1,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
cls_Crypt__imp__keysFor_0,
[final] ).
cnf(i_0_853,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_set__mp_0,
[final] ).
cnf(i_0_854,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subsetD_0,
[final] ).
cnf(i_0_855,axiom,
( c_in(X1,X2,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_set__rev__mp_0,
[final] ).
cnf(i_0_856,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool)) ),
cls_subset__iff_0,
[final] ).
cnf(i_0_857,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) ),
cls_length__unique_Osimps_I2_J_0,
[final] ).
cnf(i_0_858,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) ),
cls_remdups_Osimps_I2_J_0,
[final] ).
cnf(i_0_859,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__supI1_0,
[final] ).
cnf(i_0_860,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__supI2_0,
[final] ).
cnf(i_0_861,plain,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ),
inference(rw,[status(thm)],[i_0_584,c_0_582]),
[final] ).
cnf(i_0_862,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 ),
cls_knows__Gets_0,
[final] ).
cnf(i_0_863,axiom,
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)),
cls_set__append_0,
[final] ).
cnf(i_0_864,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),
cls_knows__Notes_0,
[final] ).
cnf(i_0_865,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insertCI_0,
[final] ).
cnf(i_0_866,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_867,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2))),c_Event_Oused(X3),tc_Message_Omsg),
cls_privateKey__into__used_0,
[final] ).
cnf(i_0_868,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_equalityI_0,
[final] ).
cnf(i_0_869,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_set__eq__subset_2,
[final] ).
cnf(i_0_870,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_871,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Gets__imp__knows__agents_0,
[final] ).
cnf(i_0_872,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
cls_le__funD_0,
[final] ).
cnf(i_0_873,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Notes__imp__knows_0,
[final] ).
cnf(i_0_874,axiom,
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)),
cls_parts__Un_0,
[final] ).
cnf(i_0_875,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),
cls_parts__insert__Key_0,
[final] ).
cnf(i_0_876,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(rw,[status(thm)],[i_0_585,c_0_582]),
[final] ).
cnf(i_0_877,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X4,X3,X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_order__trans_0,
[final] ).
cnf(i_0_878,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_xt1_I6_J_0,
[final] ).
cnf(i_0_879,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) ),
cls_knows__Spy__Notes_1,
[final] ).
cnf(i_0_880,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper1_0,
[final] ).
cnf(i_0_881,axiom,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__upper2_0,
[final] ).
cnf(i_0_882,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_neg__le__iff__le_0,
[final] ).
cnf(i_0_883,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X3,X1,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X3,X2,tc_Message_Omsg))
| c_Message_Oanalz(X1) != c_Message_Oanalz(X2) ),
cls_analz__insert__cong_0,
[final] ).
cnf(i_0_884,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)) ),
cls_synth__analz__mono_0,
[final] ).
cnf(i_0_885,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) ),
cls_Spy__spies__bad__shrK_0,
[final] ).
cnf(i_0_886,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) ),
cls_MPair__synth__analz_0,
[final] ).
cnf(i_0_887,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
cls_MPair__synth__analz_1,
[final] ).
cnf(i_0_888,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) ),
cls_distinct_Osimps_I2_J_2,
[final] ).
cnf(i_0_889,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) ),
cls_usedI_0,
[final] ).
cnf(i_0_890,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I8_J_0,
[final] ).
cnf(i_0_891,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__left__idem_0,
[final] ).
cnf(i_0_892,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
cls_append__eq__Cons__conv_4,
[final] ).
cnf(i_0_893,axiom,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
cls_Cons__eq__append__conv_4,
[final] ).
cnf(i_0_894,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Notes__imp__used_0,
[final] ).
cnf(i_0_895,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)) ),
cls_analz__subset__iff_0,
[final] ).
cnf(i_0_896,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)) ),
cls_synth__subset__iff_0,
[final] ).
cnf(i_0_897,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)) ),
cls_parts__subset__iff_0,
[final] ).
cnf(i_0_898,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X1,X2,X3),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__absorb2_0,
[final] ).
cnf(i_0_899,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__le__iff_1,
[final] ).
cnf(i_0_900,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X1),X2,X1) ),
cls_minus__le__iff_0,
[final] ).
cnf(i_0_901,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__iff_1,
[final] ).
cnf(i_0_902,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
cls_le__minus__iff_0,
[final] ).
cnf(i_0_903,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)) ),
cls_analz__subset__iff_1,
[final] ).
cnf(i_0_904,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)) ),
cls_synth__subset__iff_1,
[final] ).
cnf(i_0_905,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)) ),
cls_parts__subset__iff_1,
[final] ).
cnf(i_0_906,axiom,
~ c_in(c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)),c_Message_OsymKeys,tc_nat),
cls_not__symKeys__priK_0,
[final] ).
cnf(i_0_907,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) ),
cls_Key__synth_0,
[final] ).
cnf(i_0_908,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) ),
cls_analz__insert__eq_0,
[final] ).
cnf(i_0_909,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) ),
cls_parts__cut__eq_0,
[final] ).
cnf(i_0_910,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Olist_OCons(X3,X1,X2),X2) ),
cls_distinct_Osimps_I2_J_1,
[final] ).
cnf(i_0_911,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X1,X3,X2),X2) ),
cls_distinct__append_0,
[final] ).
cnf(i_0_912,axiom,
( c_List_Odistinct(X1,X2)
| ~ c_List_Odistinct(c_List_Oappend(X3,X1,X2),X2) ),
cls_distinct__append_1,
[final] ).
cnf(i_0_913,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)) ),
cls_keysFor__mono_0,
[final] ).
cnf(i_0_914,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)) ),
cls_analz__mono_0,
[final] ).
cnf(i_0_915,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)) ),
cls_synth__mono_0,
[final] ).
cnf(i_0_916,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)) ),
cls_parts__mono_0,
[final] ).
cnf(i_0_917,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),
cls_analz__spies__pubK_0,
[final] ).
cnf(i_0_918,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Message_Oparts(c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(rw,[status(thm)],[i_0_586,c_0_582]),
[final] ).
cnf(i_0_919,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) ),
cls_Key__synth__eq_1,
[final] ).
cnf(i_0_920,axiom,
c_List_Oset(c_List_Olist_OCons(X1,X2,X3),X3) = c_Set_Oinsert(X1,c_List_Oset(X2,X3),X3),
cls_List_Oset_Osimps_I2_J_0,
[final] ).
cnf(i_0_921,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != X2 ),
cls_subset__Un__eq_1,
[final] ).
cnf(i_0_922,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
cls_Un__absorb2_0,
[final] ).
cnf(i_0_923,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Un__absorb1_0,
[final] ).
cnf(i_0_924,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_rev__predicate1D_0,
[final] ).
cnf(i_0_925,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_predicate1D_0,
[final] ).
cnf(i_0_926,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__imp__neg__le_0,
[final] ).
cnf(i_0_927,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),
cls_conjecture_12,
[final] ).
cnf(i_0_928,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
cls_MPair__used_0,
[final] ).
cnf(i_0_929,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
cls_MPair__used_1,
[final] ).
cnf(i_0_930,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz_OFst_0,
[final] ).
cnf(i_0_931,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz_OSnd_0,
[final] ).
cnf(i_0_932,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_parts_OBody_0,
[final] ).
cnf(i_0_933,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_parts_OFst_0,
[final] ).
cnf(i_0_934,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_parts_OSnd_0,
[final] ).
cnf(i_0_935,axiom,
( c_in(c_Message_OinvKey(X1),c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
cls_Crypt__imp__invKey__keysFor_0,
[final] ).
cnf(i_0_936,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),
cls_conjecture_6,
[final] ).
cnf(i_0_937,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),
cls_analz__insert__Nonce_0,
[final] ).
cnf(i_0_938,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),
cls_analz__insert__Agent_0,
[final] ).
cnf(i_0_939,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),
cls_parts__insert__Nonce_0,
[final] ).
cnf(i_0_940,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),
cls_parts__insert__Agent_0,
[final] ).
cnf(i_0_941,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(rw,[status(thm)],[i_0_587,c_0_582]),
[final] ).
cnf(i_0_942,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_943,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__eq__iff_2,
[final] ).
cnf(i_0_944,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X3,X2,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_order__antisym_0,
[final] ).
cnf(i_0_945,axiom,
( X2 = X3
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_order__antisym__conv_0,
[final] ).
cnf(i_0_946,axiom,
( c_in(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X2,X3) ),
cls_ComplI_0,
[final] ).
cnf(i_0_947,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),
cls_knows__Spy__Gets_0,
[final] ).
cnf(i_0_948,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)),
cls_Compl__partition2_0,
[final] ).
cnf(i_0_949,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)),
cls_Compl__partition_0,
[final] ).
cnf(i_0_950,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),
cls_spies__pubK_0,
[final] ).
cnf(i_0_951,axiom,
( X1 = X4
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_0,
[final] ).
cnf(i_0_952,axiom,
( X1 = X4
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_list_Oinject_0,
[final] ).
cnf(i_0_953,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
cls_append__same__eq_0,
[final] ).
cnf(i_0_954,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
cls_same__append__eq_0,
[final] ).
cnf(i_0_955,axiom,
( X2 = X5
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_1,
[final] ).
cnf(i_0_956,axiom,
( X2 = X5
| c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_OCons(X4,X5,X3) ),
cls_list_Oinject_1,
[final] ).
cnf(i_0_957,axiom,
( X3 = X6
| c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OSays(X4,X5,X6) ),
cls_event_Osimps_I1_J_2,
[final] ).
cnf(i_0_958,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
cls_analz__analzD_0,
[final] ).
cnf(i_0_959,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Osynth(X2)),tc_Message_Omsg) ),
cls_synth__synthD_0,
[final] ).
cnf(i_0_960,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
cls_parts__partsD_0,
[final] ).
cnf(i_0_961,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I3_J_0,
[final] ).
cnf(i_0_962,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge1_0,
[final] ).
cnf(i_0_963,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I4_J_0,
[final] ).
cnf(i_0_964,axiom,
( c_lessequals(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1),X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__ge2_0,
[final] ).
cnf(i_0_965,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
cls_keysFor__insert__MPair_0,
[final] ).
cnf(i_0_966,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
cls_used__Gets_0,
[final] ).
cnf(i_0_967,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) ),
cls_Nonce__synth__eq_0,
[final] ).
cnf(i_0_968,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) ),
cls_Nonce__synth_0,
[final] ).
cnf(i_0_969,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertCI_1,
[final] ).
cnf(i_0_970,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertI1_0,
[final] ).
cnf(i_0_971,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1,
[final] ).
cnf(i_0_972,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) ),
cls_Nonce__synth__eq_1,
[final] ).
cnf(i_0_973,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Event_Oused(X3),tc_Message_Omsg),
cls_publicKey__into__used_0,
[final] ).
cnf(i_0_974,axiom,
c_Message_OkeysFor(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
cls_keysFor__insert__Key_0,
[final] ).
cnf(i_0_975,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)),
cls_Un__UNIV__left_0,
[final] ).
cnf(i_0_976,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)),
cls_Un__UNIV__right_0,
[final] ).
cnf(i_0_977,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)),
cls_Un__commute_0,
[final] ).
cnf(i_0_978,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(rw,[status(thm)],[i_0_588,c_0_582]),
[final] ).
cnf(i_0_979,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz__conj__parts_0,
[final] ).
cnf(i_0_980,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz__into__parts_0,
[final] ).
cnf(i_0_981,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_not__parts__not__analz_0,
[final] ).
cnf(i_0_982,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Oupper__semilattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != X3 ),
cls_le__iff__sup_1,
[final] ).
cnf(i_0_983,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_sup__absorb1_0,
[final] ).
cnf(i_0_984,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = X3
| ~ class_Lattices_Oupper__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__sup_0,
[final] ).
cnf(i_0_985,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
cls_shrK__in__knows_0,
[final] ).
cnf(i_0_986,axiom,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
cls_Crypt__notin__used__empty_0,
[final] ).
cnf(i_0_987,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_analz_OInj_0,
[final] ).
cnf(i_0_988,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_synth_OInj_0,
[final] ).
cnf(i_0_989,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_parts_OInj_0,
[final] ).
cnf(i_0_990,axiom,
( c_in(X1,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat) ),
cls_symKeys__invKey__iff_0,
[final] ).
cnf(i_0_991,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_992,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
cls_not__symKeys__pubK_0,
[final] ).
cnf(i_0_993,axiom,
( c_in(c_Message_OinvKey(X1),c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_symKeys__invKey__iff_1,
[final] ).
cnf(i_0_994,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_995,plain,
c_lessequals(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(X1,X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rw,[status(thm)],[i_0_589,c_0_582]),
[final] ).
cnf(i_0_996,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)),
cls_parts__knows__Spy__subset__used_0,
[final] ).
cnf(i_0_997,axiom,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
cls_subset__UNIV_0,
[final] ).
cnf(i_0_998,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
cls_neq__shrK_0,
[final] ).
cnf(i_0_999,axiom,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oused(X2),tc_Message_Omsg),
cls_shrK__in__used_0,
[final] ).
cnf(i_0_1000,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_ONonce(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
cls_keysFor__insert__Nonce_0,
[final] ).
cnf(i_0_1001,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
cls_keysFor__insert__Agent_0,
[final] ).
cnf(i_0_1002,axiom,
~ c_in(c_Message_Omsg_ONonce(c_Public_Osko__Public__XNonce__supply1__1__1(X1)),c_Event_Oused(X1),tc_Message_Omsg),
cls_Nonce__supply1_0,
[final] ).
cnf(i_0_1003,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
cls_conjecture_3,
[final] ).
cnf(i_0_1004,axiom,
( X1 = X3
| c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)) != c_HOL_Ouminus__class_Ouminus(X3,tc_fun(X2,tc_bool)) ),
cls_Compl__eq__Compl__iff_0,
[final] ).
cnf(i_0_1005,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1006,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1007,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I5_J_0,
[final] ).
cnf(i_0_1008,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X1)
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__commute_0,
[final] ).
cnf(i_0_1009,axiom,
~ c_in(c_Message_Omsg_ONonce(X1),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
cls_Nonce__notin__used__empty_0,
[final] ).
cnf(i_0_1010,axiom,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_double__complement_0,
[final] ).
cnf(i_0_1011,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
cls_event_Osimps_I4_J_0,
[final] ).
cnf(i_0_1012,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
cls_event_Osimps_I6_J_0,
[final] ).
cnf(i_0_1013,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
cls_event_Osimps_I5_J_0,
[final] ).
cnf(i_0_1014,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
cls_event_Osimps_I7_J_0,
[final] ).
cnf(i_0_1015,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
cls_UNIV__I_0,
[final] ).
cnf(i_0_1016,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))),
cls_conjecture_11,
[final] ).
cnf(i_0_1017,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1018,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OpublicKey(X3),X4),
cls_privateKey__neq__publicKey_0,
[final] ).
cnf(i_0_1019,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X3),X4)),
cls_publicKey__neq__privateKey_0,
[final] ).
cnf(i_0_1020,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_append__is__Nil__conv_0,
[final] ).
cnf(i_0_1021,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_append__is__Nil__conv_1,
[final] ).
cnf(i_0_1022,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
cls_Nil__is__append__conv_0,
[final] ).
cnf(i_0_1023,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
cls_Nil__is__append__conv_1,
[final] ).
cnf(i_0_1024,axiom,
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)),
cls_analz__synth_0,
[final] ).
cnf(i_0_1025,axiom,
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)),
cls_parts__synth_0,
[final] ).
cnf(i_0_1026,axiom,
c_lessequals(c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oused(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_used__nil__subset_0,
[final] ).
cnf(i_0_1027,axiom,
c_in(c_List_Olist_ONil(X1),c_List_Olists(X2,X1),tc_List_Olist(X1)),
cls_lists_ONil_0,
[final] ).
cnf(i_0_1028,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
cls_append__self__conv2_0,
[final] ).
cnf(i_0_1029,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
cls_append__self__conv_0,
[final] ).
cnf(i_0_1030,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
cls_self__append__conv_0,
[final] ).
cnf(i_0_1031,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
cls_self__append__conv2_0,
[final] ).
cnf(i_0_1032,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_list_Osimps_I3_J_0,
[final] ).
cnf(i_0_1033,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_neq__Nil__conv_1,
[final] ).
cnf(i_0_1034,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
cls_list_Osimps_I2_J_0,
[final] ).
cnf(i_0_1035,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_compl__sup__top_0,
[final] ).
cnf(i_0_1036,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_sup__compl__top_0,
[final] ).
cnf(i_0_1037,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_1038,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
cls_not__Cons__self2_0,
[final] ).
cnf(i_0_1039,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
cls_not__Cons__self_0,
[final] ).
cnf(i_0_1040,axiom,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__subset__parts_0,
[final] ).
cnf(i_0_1041,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_invKey__K_0,
[final] ).
cnf(i_0_1042,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
cls_shrK__neq__priK_0,
[final] ).
cnf(i_0_1043,axiom,
hAPP(c_Public_OshrK,X1) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X3)),
cls_priK__neq__shrK_0,
[final] ).
cnf(i_0_1044,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0,
[final] ).
cnf(i_0_1045,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_synth__increasing_0,
[final] ).
cnf(i_0_1046,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0,
[final] ).
cnf(i_0_1047,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_1,
[final] ).
cnf(i_0_1048,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_0,
[final] ).
cnf(i_0_1049,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
cls_Server__not__bad_0,
[final] ).
cnf(i_0_1050,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1051,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1052,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1053,axiom,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
cls_sym__shrK_0,
[final] ).
cnf(i_0_1054,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) ),
cls_sup__top__left_0,
[final] ).
cnf(i_0_1055,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(X1),X1) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__top__right_0,
[final] ).
cnf(i_0_1056,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_append__is__Nil__conv_2,
[final] ).
cnf(i_0_1057,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
cls_Nil__is__append__conv_2,
[final] ).
cnf(i_0_1058,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_1059,axiom,
( X1 = X3
| hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4) ),
cls_publicKey__inject_0,
[final] ).
cnf(i_0_1060,axiom,
( X2 = X4
| hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4) ),
cls_publicKey__inject_1,
[final] ).
cnf(i_0_1061,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_synth_OAgent_0,
[final] ).
cnf(i_0_1062,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_Agent__synth_0,
[final] ).
cnf(i_0_1063,axiom,
c_List_Olist__inter(c_List_Olist_ONil(X1),X2,X1) = c_List_Olist_ONil(X1),
cls_list__inter_Osimps_I1_J_0,
[final] ).
cnf(i_0_1064,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1065,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1066,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1067,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
cls_append__Nil_0,
[final] ).
cnf(i_0_1068,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
cls_append__Nil2_0,
[final] ).
cnf(i_0_1069,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_eq__Nil__appendI_0,
[final] ).
cnf(i_0_1070,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_self__append__conv2_1,
[final] ).
cnf(i_0_1071,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
cls_self__append__conv_1,
[final] ).
cnf(i_0_1072,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_ns__shared_ONil_0,
[final] ).
cnf(i_0_1073,negated_conjecture,
c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_2,
[final] ).
cnf(i_0_1074,axiom,
c_fequal(X1,X1,X2),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_1075,axiom,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
cls_set__remdups_0,
[final] ).
cnf(i_0_1076,axiom,
( X2 = X3
| ~ class_Lattices_Oboolean__algebra(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
cls_compl__eq__compl__iff_0,
[final] ).
cnf(i_0_1077,axiom,
( X2 = X3
| ~ class_OrderedGroup_Ogroup__add(X1)
| c_HOL_Ouminus__class_Ouminus(X2,X1) != c_HOL_Ouminus__class_Ouminus(X3,X1) ),
cls_neg__equal__iff__equal_0,
[final] ).
cnf(i_0_1078,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
cls_shrK__neq__pubK_0,
[final] ).
cnf(i_0_1079,axiom,
hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OpublicKey(X2),X3),
cls_pubK__neq__shrK_0,
[final] ).
cnf(i_0_1080,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
cls_conjecture_4,
[final] ).
cnf(i_0_1081,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
cls_Spy__in__bad_0,
[final] ).
cnf(i_0_1082,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_double__compl_0,
[final] ).
cnf(i_0_1083,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__equation__iff_1,
[final] ).
cnf(i_0_1084,axiom,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_minus__minus_0,
[final] ).
cnf(i_0_1085,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_1,
[final] ).
cnf(i_0_1086,axiom,
( X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_equation__minus__iff_0,
[final] ).
cnf(i_0_1087,axiom,
( X1 = X3
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
cls_msg_Osimps_I7_J_0,
[final] ).
cnf(i_0_1088,axiom,
( X1 = X3
| c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
cls_msg_Osimps_I6_J_0,
[final] ).
cnf(i_0_1089,axiom,
( X1 = X3
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
cls_event_Osimps_I2_J_0,
[final] ).
cnf(i_0_1090,axiom,
( X1 = X3
| c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
cls_event_Osimps_I3_J_0,
[final] ).
cnf(i_0_1091,axiom,
( X2 = X4
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
cls_msg_Osimps_I7_J_1,
[final] ).
cnf(i_0_1092,axiom,
( X2 = X4
| c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
cls_msg_Osimps_I6_J_1,
[final] ).
cnf(i_0_1093,axiom,
( X2 = X4
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
cls_event_Osimps_I2_J_1,
[final] ).
cnf(i_0_1094,axiom,
( X2 = X4
| c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_ONotes(X3,X4) ),
cls_event_Osimps_I3_J_1,
[final] ).
cnf(i_0_1095,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
cls_msg_Osimps_I49_J_0,
[final] ).
cnf(i_0_1096,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
cls_msg_Osimps_I48_J_0,
[final] ).
cnf(i_0_1097,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
cls_event_Osimps_I8_J_0,
[final] ).
cnf(i_0_1098,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
cls_event_Osimps_I9_J_0,
[final] ).
cnf(i_0_1099,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I42_J_0,
[final] ).
cnf(i_0_1100,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I40_J_0,
[final] ).
cnf(i_0_1101,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I43_J_0,
[final] ).
cnf(i_0_1102,axiom,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I41_J_0,
[final] ).
cnf(i_0_1103,axiom,
( X1 = X2
| hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
cls_shrK__injective_0,
[final] ).
cnf(i_0_1104,axiom,
( X1 = X2
| hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2) ),
cls_msg_Osimps_I4_J_0,
[final] ).
cnf(i_0_1105,axiom,
c_List_Odistinct(c_List_Oremdups(X1,X2),X2),
cls_distinct__remdups_0,
[final] ).
cnf(i_0_1106,axiom,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
cls_invKey__shrK_0,
[final] ).
cnf(i_0_1107,axiom,
( c_List_Odistinct(X1,X2)
| c_List_Oremdups(X1,X2) != X1 ),
cls_remdups__id__iff__distinct_0,
[final] ).
cnf(i_0_1108,axiom,
( c_List_Oremdups(X1,X2) = X1
| ~ c_List_Odistinct(X1,X2) ),
cls_distinct__remdups__id_0,
[final] ).
cnf(i_0_1109,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1110,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1111,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1112,axiom,
( class_Lattices_Oboolean__algebra(tc_fun(X1,X2))
| ~ class_Lattices_Oboolean__algebra(X2) ),
clsarity_fun__Lattices_Oboolean__algebra,
[final] ).
cnf(i_0_1113,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1114,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1115,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1116,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_1117,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oremdups(X1,X2) != c_List_Olist_ONil(X2) ),
cls_remdups__eq__nil__iff_0,
[final] ).
cnf(i_0_1118,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oremdups(X2,X1) ),
cls_remdups__eq__nil__right__iff_0,
[final] ).
cnf(i_0_1119,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
cls_msg_Osimps_I37_J_0,
[final] ).
cnf(i_0_1120,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
cls_msg_Osimps_I19_J_0,
[final] ).
cnf(i_0_1121,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
cls_msg_Osimps_I35_J_0,
[final] ).
cnf(i_0_1122,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
cls_msg_Osimps_I17_J_0,
[final] ).
cnf(i_0_1123,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I36_J_0,
[final] ).
cnf(i_0_1124,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I34_J_0,
[final] ).
cnf(i_0_1125,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I18_J_0,
[final] ).
cnf(i_0_1126,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I16_J_0,
[final] ).
cnf(i_0_1127,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I31_J_0,
[final] ).
cnf(i_0_1128,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I13_J_0,
[final] ).
cnf(i_0_1129,axiom,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I30_J_0,
[final] ).
cnf(i_0_1130,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I12_J_0,
[final] ).
cnf(i_0_1131,axiom,
c_List_Oremdups(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_remdups__eq__nil__iff_1,
[final] ).
cnf(i_0_1132,axiom,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
cls_remdups__eq__nil__right__iff_1,
[final] ).
cnf(i_0_1133,axiom,
c_List_Odistinct(c_List_Olist_ONil(X1),X1),
cls_distinct_Osimps_I1_J_0,
[final] ).
cnf(i_0_1134,axiom,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
cls_msg_Osimps_I3_J_0,
[final] ).
cnf(i_0_1135,axiom,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
cls_msg_Osimps_I1_J_0,
[final] ).
cnf(i_0_1136,axiom,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
cls_invKey__eq_0,
[final] ).
cnf(i_0_1137,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0,
[final] ).
cnf(i_0_1138,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0,
[final] ).
cnf(i_0_1139,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
cls_synth__idem_0,
[final] ).
cnf(i_0_1140,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0,
[final] ).
cnf(i_0_1141,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0,
[final] ).
cnf(i_0_1142,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I11_J_0,
[final] ).
cnf(i_0_1143,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I10_J_0,
[final] ).
cnf(i_0_1144,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
cls_invKey_0,
[final] ).
cnf(i_0_1145,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
cls_ns__sharedp_ONil_0,
[final] ).
cnf(i_0_1146,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1147,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1148,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1149,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1150,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1151,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1152,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra,
[final] ).
cnf(i_0_1153,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1154,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1155,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1156,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1157,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1158,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1159,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_1160,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
cls_agent_Osimps_I5_J_0,
[final] ).
cnf(i_0_1161,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0,
[final] ).
cnf(i_0_1162,negated_conjecture,
v_NA = v_NAa,
cls_conjecture_8,
[final] ).
cnf(i_0_1163,negated_conjecture,
v_K = v_KAB,
cls_conjecture_10,
[final] ).
cnf(i_0_1164,negated_conjecture,
v_B = v_Ba,
cls_conjecture_9,
[final] ).
cnf(i_0_1165,negated_conjecture,
v_A = v_Aa,
cls_conjecture_7,
[final] ).
cnf(i_0_1166,axiom,
X1 = X1 ).
cnf(i_0_1167,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1168,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1169,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1170,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1171,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1172,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_1173,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_1174,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).
cnf(i_0_1175,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).
cnf(i_0_1176,axiom,
( X1 != X2
| c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).
cnf(i_0_1177,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_1178,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_1179,axiom,
( X1 != X2
| c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).
cnf(i_0_1180,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1181,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1182,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1183,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1184,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1185,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1186,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1187,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_1188,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_1189,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_1190,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_1191,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_1192,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1193,axiom,
( X1 != X2
| c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).
cnf(i_0_1194,axiom,
( X1 != X2
| c_Message_OkeysFor(X1) = c_Message_OkeysFor(X2) ) ).
cnf(i_0_1195,axiom,
( X1 != X2
| c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).
cnf(i_0_1196,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).
cnf(i_0_1197,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).
cnf(i_0_1198,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1199,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1200,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1201,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).
cnf(i_0_1202,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).
cnf(i_0_1203,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1204,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1205,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1206,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1207,axiom,
( X1 != X2
| c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).
cnf(i_0_1208,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).
cnf(i_0_1209,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).
cnf(i_0_1210,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1211,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1212,axiom,
( X1 != X2
| c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).
cnf(i_0_1213,axiom,
( X1 != X2
| c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).
cnf(i_0_1214,axiom,
( X1 != X2
| c_List_Olength__unique(X1,X3) = c_List_Olength__unique(X2,X3) ) ).
cnf(i_0_1215,axiom,
( X1 != X2
| c_List_Olength__unique(X3,X1) = c_List_Olength__unique(X3,X2) ) ).
cnf(i_0_1216,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).
cnf(i_0_1217,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).
cnf(i_0_1218,axiom,
( X1 != X2
| c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).
cnf(i_0_1219,axiom,
( X1 != X2
| c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).
cnf(i_0_1220,axiom,
( X1 != X2
| c_Event_Oused(X1) = c_Event_Oused(X2) ) ).
cnf(i_0_1221,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1222,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1223,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1224,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1225,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1226,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1227,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1228,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1229,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_1230,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1231,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1232,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1233,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1234,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1235,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1236,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1237,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1238,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1239,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1240,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X3,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X2,X3,X4,X5) ) ).
cnf(i_0_1241,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X1,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X2,X4,X5) ) ).
cnf(i_0_1242,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X1,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X2,X5) ) ).
cnf(i_0_1243,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X1)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X2) ) ).
cnf(i_0_1244,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1245,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1246,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1247,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1248,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1249,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1250,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1251,axiom,
( X1 != X2
| ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X2,X3) ) ).
cnf(i_0_1252,axiom,
( X1 != X2
| ~ c_List_Odistinct(X3,X1)
| c_List_Odistinct(X3,X2) ) ).
cnf(i_0_1166_001,axiom,
X1 = X1 ).
cnf(i_0_1167_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1168_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1169_004,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1170_005,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1171_006,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1172_007,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_1173_008,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_1174_009,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).
cnf(i_0_1175_010,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).
cnf(i_0_1176_011,axiom,
( X1 != X2
| c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).
cnf(i_0_1177_012,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_1178_013,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_1179_014,axiom,
( X1 != X2
| c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).
cnf(i_0_1180_015,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1181_016,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1182_017,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1183_018,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1184_019,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1185_020,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1186_021,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1187_022,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_1188_023,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_1189_024,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_1190_025,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) = c_HOL_Ouminus__class_Ouminus(X2,X3) ) ).
cnf(i_0_1191_026,axiom,
( X1 != X2
| c_HOL_Ouminus__class_Ouminus(X3,X1) = c_HOL_Ouminus__class_Ouminus(X3,X2) ) ).
cnf(i_0_1192_027,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1193_028,axiom,
( X1 != X2
| c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).
cnf(i_0_1194_029,axiom,
( X1 != X2
| c_Message_OkeysFor(X1) = c_Message_OkeysFor(X2) ) ).
cnf(i_0_1195_030,axiom,
( X1 != X2
| c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).
cnf(i_0_1196_031,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).
cnf(i_0_1197_032,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).
cnf(i_0_1198_033,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1199_034,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1200_035,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1201_036,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).
cnf(i_0_1202_037,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).
cnf(i_0_1203_038,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1204_039,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1205_040,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1206_041,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1207_042,axiom,
( X1 != X2
| c_List_Olist__inter(X1,X3,X4) = c_List_Olist__inter(X2,X3,X4) ) ).
cnf(i_0_1208_043,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X1,X4) = c_List_Olist__inter(X3,X2,X4) ) ).
cnf(i_0_1209_044,axiom,
( X1 != X2
| c_List_Olist__inter(X3,X4,X1) = c_List_Olist__inter(X3,X4,X2) ) ).
cnf(i_0_1210_045,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1211_046,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1212_047,axiom,
( X1 != X2
| c_List_Oremdups(X1,X3) = c_List_Oremdups(X2,X3) ) ).
cnf(i_0_1213_048,axiom,
( X1 != X2
| c_List_Oremdups(X3,X1) = c_List_Oremdups(X3,X2) ) ).
cnf(i_0_1214_049,axiom,
( X1 != X2
| c_List_Olength__unique(X1,X3) = c_List_Olength__unique(X2,X3) ) ).
cnf(i_0_1215_050,axiom,
( X1 != X2
| c_List_Olength__unique(X3,X1) = c_List_Olength__unique(X3,X2) ) ).
cnf(i_0_1216_051,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).
cnf(i_0_1217_052,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).
cnf(i_0_1218_053,axiom,
( X1 != X2
| c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).
cnf(i_0_1219_054,axiom,
( X1 != X2
| c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).
cnf(i_0_1220_055,axiom,
( X1 != X2
| c_Event_Oused(X1) = c_Event_Oused(X2) ) ).
cnf(i_0_1221_056,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1222_057,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1223_058,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1224_059,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1225_060,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1226_061,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1227_062,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1228_063,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1229_064,axiom,
( X1 != X2
| ~ class_Lattices_Oboolean__algebra(X1)
| class_Lattices_Oboolean__algebra(X2) ) ).
cnf(i_0_1230_065,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1231_066,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1232_067,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1233_068,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1234_069,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1235_070,axiom,
( X1 != X2
| ~ class_OrderedGroup_Ogroup__add(X1)
| class_OrderedGroup_Ogroup__add(X2) ) ).
cnf(i_0_1236_071,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1237_072,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1238_073,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1239_074,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1240_075,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X3,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X2,X3,X4,X5) ) ).
cnf(i_0_1241_076,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X1,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X2,X4,X5) ) ).
cnf(i_0_1242_077,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X1,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X2,X5) ) ).
cnf(i_0_1243_078,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X1)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X2) ) ).
cnf(i_0_1244_079,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1245_080,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1246_081,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1247_082,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1248_083,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1249_084,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1250_085,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1251_086,axiom,
( X1 != X2
| ~ c_List_Odistinct(X1,X3)
| c_List_Odistinct(X2,X3) ) ).
cnf(i_0_1252_087,axiom,
( X1 != X2
| ~ c_List_Odistinct(X3,X1)
| c_List_Odistinct(X3,X2) ) ).
cnf(i_0_1253,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[644]) ).
cnf(i_0_1254,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[646]) ).
cnf(i_0_1255,plain,
( ~ c_in(X1,X2,X3)
| X1 = X1
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| ~ c_in(X1,X2,X3) ),
inference(equality_inference,[],[709]) ).
cnf(i_0_1256,plain,
X1 = X1,
inference(equality_inference,[],[718]) ).
cnf(i_0_1257,plain,
X1 = X1,
inference(equality_inference,[],[719]) ).
cnf(i_0_1258,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[727]) ).
cnf(i_0_1259,plain,
( X1 = X1
| c_in(X2,X1,X3)
| c_in(X2,X1,X3) ),
inference(equality_inference,[],[842]) ).
cnf(i_0_1260,plain,
c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),
inference(equality_inference,[],[883]) ).
cnf(i_0_1261,plain,
X1 = X1,
inference(equality_inference,[],[951]) ).
cnf(i_0_1262,plain,
X1 = X1,
inference(equality_inference,[],[952]) ).
cnf(i_0_1263,plain,
X1 = X1,
inference(equality_inference,[],[953]) ).
cnf(i_0_1264,plain,
X1 = X1,
inference(equality_inference,[],[954]) ).
cnf(i_0_1265,plain,
X1 = X1,
inference(equality_inference,[],[955]) ).
cnf(i_0_1266,plain,
X1 = X1,
inference(equality_inference,[],[956]) ).
cnf(i_0_1267,plain,
X1 = X1,
inference(equality_inference,[],[957]) ).
cnf(i_0_1268,plain,
X1 = X1,
inference(equality_inference,[],[1004]) ).
cnf(i_0_1269,plain,
X1 = X1,
inference(equality_inference,[],[1059]) ).
cnf(i_0_1270,plain,
X1 = X1,
inference(equality_inference,[],[1060]) ).
cnf(i_0_1271,plain,
( X1 = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(equality_inference,[],[1076]) ).
cnf(i_0_1272,plain,
( X1 = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
inference(equality_inference,[],[1077]) ).
cnf(i_0_1273,plain,
X1 = X1,
inference(equality_inference,[],[1087]) ).
cnf(i_0_1274,plain,
X1 = X1,
inference(equality_inference,[],[1088]) ).
cnf(i_0_1275,plain,
X1 = X1,
inference(equality_inference,[],[1089]) ).
cnf(i_0_1276,plain,
X1 = X1,
inference(equality_inference,[],[1090]) ).
cnf(i_0_1277,plain,
X1 = X1,
inference(equality_inference,[],[1091]) ).
cnf(i_0_1278,plain,
X1 = X1,
inference(equality_inference,[],[1092]) ).
cnf(i_0_1279,plain,
X1 = X1,
inference(equality_inference,[],[1093]) ).
cnf(i_0_1280,plain,
X1 = X1,
inference(equality_inference,[],[1094]) ).
cnf(i_0_1281,plain,
X1 = X1,
inference(equality_inference,[],[1103]) ).
cnf(i_0_1282,plain,
X1 = X1,
inference(equality_inference,[],[1104]) ).
cnf(i_0_1283,plain,
X1 = X1,
inference(equality_inference,[],[1134]) ).
cnf(i_0_1284,plain,
X1 = X1,
inference(equality_inference,[],[1135]) ).
cnf(i_0_1285,plain,
X1 = X1,
inference(equality_inference,[],[1136]) ).
cnf(i_0_1286,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,hAPP(c_Message_Omsg_OKey,v_K)),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_936,i_0_772]) ).
cnf(i_0_1287,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(rename_variables,[],[i_0_772]) ).
cnf(i_0_1288,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,X4)),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_936,i_0_876,i_0_772,i_0_773]) ).
cnf(i_0_1289,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_1290,plain,
( c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
inference(rename_variables,[],[i_0_773]) ).
cnf(i_0_1291,plain,
c_in(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_Event_Oknows(v_A_H,v_evs2),tc_Message_Omsg),
inference(scs_inference,[],[i_0_936,i_0_778,i_0_876,i_0_772,i_0_773,i_0_782]) ).
cnf(i_0_1292,plain,
( ~ 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(rename_variables,[],[i_0_782]) ).
cnf(i_0_1293,plain,
c_in(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_Event_Oused(v_evs2),tc_Message_Omsg),
inference(scs_inference,[],[i_0_936,i_0_778,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788]) ).
cnf(i_0_1294,plain,
( ~ 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(rename_variables,[],[i_0_788]) ).
cnf(i_0_1295,plain,
c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_936,i_0_778,i_0_1044,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790]) ).
cnf(i_0_1296,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1297,plain,
( ~ c_lessequals(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
inference(rename_variables,[],[i_0_790]) ).
cnf(i_0_1298,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_Event_Oused(v_evs2),tc_Message_Omsg),
inference(scs_inference,[],[i_0_936,i_0_927,i_0_778,i_0_1044,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889]) ).
cnf(i_0_1299,plain,
( ~ 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(rename_variables,[],[i_0_889]) ).
cnf(i_0_1300,plain,
c_in(X1,c_Event_Oused(c_List_Oappend(X2,c_List_Olist_OCons(c_Event_Oevent_ONotes(X3,X1),X4,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894]) ).
cnf(i_0_1301,plain,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
inference(rename_variables,[],[i_0_693]) ).
cnf(i_0_1302,plain,
( ~ 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(rename_variables,[],[i_0_894]) ).
cnf(i_0_1303,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Message_Osynth(c_Event_Oused(v_evs2)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907]) ).
cnf(i_0_1304,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(rename_variables,[],[i_0_907]) ).
cnf(i_0_1305,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),X1),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928]) ).
cnf(i_0_1306,plain,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_928]) ).
cnf(i_0_1307,plain,
~ c_in(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_KAB)),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929]) ).
cnf(i_0_1308,plain,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Event_Oused(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_929]) ).
cnf(i_0_1309,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930]) ).
cnf(i_0_1310,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_930]) ).
cnf(i_0_1311,plain,
~ c_in(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931]) ).
cnf(i_0_1312,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_931]) ).
cnf(i_0_1313,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X2),X3),c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933]) ).
cnf(i_0_1314,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_933]) ).
cnf(i_0_1315,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X3)),c_Message_Oparts(c_Event_Oknows(X4,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934]) ).
cnf(i_0_1316,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_934]) ).
cnf(i_0_1317,plain,
c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OpublicKey(X1),X2)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_917,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981]) ).
cnf(i_0_1318,plain,
( ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_981]) ).
cnf(i_0_1319,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_917,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987]) ).
cnf(i_0_1320,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_987]) ).
cnf(i_0_1321,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_917,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989]) ).
cnf(i_0_1322,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_989]) ).
cnf(i_0_1323,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(scs_inference,[],[i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017]) ).
cnf(i_0_1324,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1017]) ).
cnf(i_0_1325,plain,
v_NAa = v_NA,
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167]) ).
cnf(i_0_1326,plain,
c_Public_OpublicKey(X1) != c_Public_OshrK,
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210]) ).
cnf(i_0_1327,plain,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
inference(rename_variables,[],[i_0_1078]) ).
cnf(i_0_1328,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(X1,X2),X1,X3,X4)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1044,i_0_693,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640]) ).
cnf(i_0_1329,plain,
( ~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)
| X1 = hAPP(X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(X1,X2,X4,X3)) ),
inference(rename_variables,[],[i_0_640]) ).
cnf(i_0_1330,plain,
c_lessequals(c_Set_Oimage(X1,c_Message_Oanalz(X2),tc_Message_Omsg,X3),c_Set_Oimage(X1,c_Message_Oparts(X2),tc_Message_Omsg,X3),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_693,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649]) ).
cnf(i_0_1331,plain,
( ~ 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(rename_variables,[],[i_0_649]) ).
cnf(i_0_1332,plain,
c_lessequals(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X3,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1062,i_0_693,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650]) ).
cnf(i_0_1333,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1062]) ).
cnf(i_0_1334,plain,
( ~ 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(rename_variables,[],[i_0_650]) ).
cnf(i_0_1335,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(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(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1062,i_0_1333,i_0_693,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712]) ).
cnf(i_0_1336,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1062]) ).
cnf(i_0_1337,plain,
( ~ 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(rename_variables,[],[i_0_712]) ).
cnf(i_0_1338,plain,
c_lessequals(X1,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(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1062,i_0_1333,i_0_693,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747]) ).
cnf(i_0_1339,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1340,plain,
( ~ 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(rename_variables,[],[i_0_747]) ).
cnf(i_0_1341,plain,
c_lessequals(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1062,i_0_1333,i_0_693,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748]) ).
cnf(i_0_1342,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1343,plain,
( ~ 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(rename_variables,[],[i_0_748]) ).
cnf(i_0_1344,plain,
c_in(X1,c_Event_Oknows(X2,c_List_Oappend(X3,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X1),X4,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873]) ).
cnf(i_0_1345,plain,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
inference(rename_variables,[],[i_0_693]) ).
cnf(i_0_1346,plain,
( ~ 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(rename_variables,[],[i_0_873]) ).
cnf(i_0_1347,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X1)),c_Message_Oanalz(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914]) ).
cnf(i_0_1348,plain,
( ~ 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(rename_variables,[],[i_0_914]) ).
cnf(i_0_1349,plain,
c_lessequals(c_Message_Osynth(c_Message_Oanalz(X1)),c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915]) ).
cnf(i_0_1350,plain,
( ~ 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(rename_variables,[],[i_0_915]) ).
cnf(i_0_1351,plain,
c_lessequals(c_Message_Oparts(c_Message_Oanalz(X1)),c_Message_Oparts(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916]) ).
cnf(i_0_1352,plain,
( ~ 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(rename_variables,[],[i_0_916]) ).
cnf(i_0_1353,plain,
~ c_fequal(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X4),
inference(scs_inference,[],[i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1033,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037]) ).
cnf(i_0_1354,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1037]) ).
cnf(i_0_1355,plain,
c_Message_OinvKey(v_KAB) = v_KAB,
inference(scs_inference,[],[i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1033,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041]) ).
cnf(i_0_1356,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X1) = X1 ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_1357,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(scs_inference,[],[i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1033,i_0_1062,i_0_1333,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060]) ).
cnf(i_0_1358,plain,
( hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4)
| X2 = X4 ),
inference(rename_variables,[],[i_0_1060]) ).
cnf(i_0_1359,plain,
c_lessequals(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065]) ).
cnf(i_0_1360,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1065]) ).
cnf(i_0_1361,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066]) ).
cnf(i_0_1362,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1066]) ).
cnf(i_0_1363,plain,
~ 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),c_List_Oappend(c_List_Olist_ONil(X1),tc_Event_Oevent,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223]) ).
cnf(i_0_1364,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_1365,plain,
c_in(hAPP(X1,v_KAB),c_Message_Oanalz(c_Set_Oimage(X1,c_Message_OsymKeys,tc_nat,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656]) ).
cnf(i_0_1366,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1367,plain,
( ~ 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(rename_variables,[],[i_0_656]) ).
cnf(i_0_1368,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844]) ).
cnf(i_0_1369,plain,
( ~ 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(rename_variables,[],[i_0_844]) ).
cnf(i_0_1370,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),c_Message_Oparts(c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846]) ).
cnf(i_0_1371,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_1372,plain,
( ~ 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(rename_variables,[],[i_0_846]) ).
cnf(i_0_1373,plain,
c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852]) ).
cnf(i_0_1374,plain,
( ~ c_in(X1,c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_852]) ).
cnf(i_0_1375,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oanalz(c_Event_Oknows(X3,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856]) ).
cnf(i_0_1376,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1377,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_856]) ).
cnf(i_0_1378,plain,
c_List_Olist_OCons(X1,v_NAa,X2) != v_NA,
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168]) ).
cnf(i_0_1379,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1380,plain,
~ c_in(c_List_Oappend(c_List_Olist_ONil(X1),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)))),X1),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1067,i_0_1364,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221]) ).
cnf(i_0_1381,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_1382,plain,
~ 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(c_List_Oremdups(v_evs2,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1153,i_0_1156,i_0_1075,i_0_1067,i_0_1364,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222]) ).
cnf(i_0_1383,plain,
c_List_Oset(c_List_Oremdups(X1,X2),X2) = c_List_Oset(X1,X2),
inference(rename_variables,[],[i_0_1075]) ).
cnf(i_0_1384,plain,
class_HOL_Oord(c_List_Oappend(c_List_Olist_ONil(X1),tc_nat,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1153,i_0_1156,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224]) ).
cnf(i_0_1385,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1386,plain,
class_Orderings_Opreorder(c_List_Oappend(c_List_Olist_ONil(X1),tc_nat,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1153,i_0_1156,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225]) ).
cnf(i_0_1387,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1388,plain,
class_Orderings_Oorder(c_List_Oappend(c_List_Olist_ONil(X1),tc_nat,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1153,i_0_1155,i_0_1156,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226]) ).
cnf(i_0_1389,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1390,plain,
class_Orderings_Olinorder(c_List_Oappend(c_List_Olist_ONil(X1),tc_nat,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1153,i_0_1155,i_0_1156,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228]) ).
cnf(i_0_1391,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1392,plain,
class_Lattices_Oboolean__algebra(c_List_Oappend(c_List_Olist_ONil(X1),tc_bool,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229]) ).
cnf(i_0_1393,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1394,plain,
~ c_fequal(c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3),c_List_Olist_ONil(X3),X5),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230]) ).
cnf(i_0_1395,plain,
~ c_fequal(c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4),c_List_Oremdups(c_List_Olist_ONil(X4),X4),X5),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231]) ).
cnf(i_0_1396,plain,
class_Lattices_Obounded__lattice(c_List_Oappend(c_List_Olist_ONil(X1),tc_bool,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233]) ).
cnf(i_0_1397,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1398,plain,
class_Orderings_Otop(c_List_Oappend(c_List_Olist_ONil(X1),tc_bool,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234]) ).
cnf(i_0_1399,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1400,plain,
class_Lattices_Oupper__semilattice(c_List_Oappend(c_List_Olist_ONil(X1),tc_nat,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249]) ).
cnf(i_0_1401,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1402,plain,
class_Lattices_Olattice(c_List_Oappend(c_List_Olist_ONil(X1),tc_nat,X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250]) ).
cnf(i_0_1403,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1404,plain,
c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,c_Message_Omsg_OAgent(X2)),v_evs2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694]) ).
cnf(i_0_1405,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1062]) ).
cnf(i_0_1406,plain,
( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2))),tc_Message_Omsg)
| c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X3,X1),X2,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
inference(rename_variables,[],[i_0_694]) ).
cnf(i_0_1407,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820]) ).
cnf(i_0_1408,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1409,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_820]) ).
cnf(i_0_1410,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825]) ).
cnf(i_0_1411,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X1,X4,X3) ),
inference(rename_variables,[],[i_0_825]) ).
cnf(i_0_1412,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827]) ).
cnf(i_0_1413,plain,
( ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X3),X4,X3)
| ~ class_Lattices_Oupper__semilattice(X3)
| c_lessequals(X2,X4,X3) ),
inference(rename_variables,[],[i_0_827]) ).
cnf(i_0_1414,plain,
c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OAgent(X2)),c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_971,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833]) ).
cnf(i_0_1415,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_971]) ).
cnf(i_0_1416,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1062]) ).
cnf(i_0_1417,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(X3,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_833]) ).
cnf(i_0_1418,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_KAB),X1),c_Message_Osynth(c_Event_Oused(v_evs2)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_971,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848]) ).
cnf(i_0_1419,plain,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_848]) ).
cnf(i_0_1420,plain,
c_Message_Oanalz(c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869]) ).
cnf(i_0_1421,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1044]) ).
cnf(i_0_1422,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_997]) ).
cnf(i_0_1423,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
| X2 = X1 ),
inference(rename_variables,[],[i_0_869]) ).
cnf(i_0_1424,plain,
c_in(X1,c_Event_Oknows(c_List_Olist_OCons(X2,c_Message_Oagent_OSpy,X3),c_List_Oappend(X4,c_List_Olist_OCons(c_Event_Oevent_OGets(c_List_Olist_OCons(X2,c_Message_Oagent_OSpy,X3),X1),X5,tc_Event_Oevent),tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871]) ).
cnf(i_0_1425,plain,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
inference(rename_variables,[],[i_0_693]) ).
cnf(i_0_1426,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1038]) ).
cnf(i_0_1427,plain,
( ~ 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(rename_variables,[],[i_0_871]) ).
cnf(i_0_1428,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Oremdups(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236]) ).
cnf(i_0_1429,plain,
c_List_Olist_ONil(X1) = c_List_Oremdups(c_List_Olist_ONil(X1),X1),
inference(rename_variables,[],[i_0_1132]) ).
cnf(i_0_1430,plain,
~ c_lessequals(c_List_Oappend(c_List_Olist_ONil(X1),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2),X1),c_Message_Oparts(c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1381,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236,i_0_1237]) ).
cnf(i_0_1431,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_1432,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg),c_List_Oappend(c_List_Olist_ONil(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),X2),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1381,i_0_1431,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236,i_0_1237,i_0_1238]) ).
cnf(i_0_1433,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_1434,plain,
~ c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),X1,tc_Message_Omsg),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),c_List_Oappend(c_List_Olist_ONil(X2),tc_fun(tc_Message_Omsg,tc_bool),X2)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1381,i_0_1431,i_0_1433,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236,i_0_1237,i_0_1238,i_0_1239]) ).
cnf(i_0_1435,plain,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
inference(rename_variables,[],[i_0_1067]) ).
cnf(i_0_1436,plain,
hBOOL(c_List_Oappend(c_List_Olist_ONil(X1),hAPP(c_Set_Oinsert(X2,X3,X4),X2),X1)),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1381,i_0_1431,i_0_1433,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_1403,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236,i_0_1237,i_0_1238,i_0_1239,i_0_1248]) ).
cnf(i_0_1437,plain,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
inference(rename_variables,[],[i_0_1070]) ).
cnf(i_0_1438,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1052,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1381,i_0_1431,i_0_1433,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_1403,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236,i_0_1237,i_0_1238,i_0_1239,i_0_1248,i_0_687]) ).
cnf(i_0_1439,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1052]) ).
cnf(i_0_1440,plain,
( ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X4)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_lessequals(X4,X3,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_687]) ).
cnf(i_0_1441,plain,
$false,
inference(scs_inference,[],[i_0_714,i_0_1080,i_0_1162,i_0_1003,i_0_936,i_0_1073,i_0_927,i_0_778,i_0_1040,i_0_1044,i_0_1296,i_0_1339,i_0_1342,i_0_1366,i_0_1408,i_0_971,i_0_1052,i_0_1033,i_0_1038,i_0_1379,i_0_1062,i_0_1333,i_0_1336,i_0_1405,i_0_997,i_0_1146,i_0_1148,i_0_1149,i_0_1151,i_0_1152,i_0_1153,i_0_1155,i_0_1156,i_0_1157,i_0_1159,i_0_1131,i_0_1132,i_0_812,i_0_1075,i_0_1067,i_0_1364,i_0_1381,i_0_1431,i_0_1433,i_0_1070,i_0_1385,i_0_1387,i_0_1389,i_0_1391,i_0_1393,i_0_1397,i_0_1399,i_0_1401,i_0_1403,i_0_693,i_0_1301,i_0_1345,i_0_695,i_0_1078,i_0_876,i_0_1289,i_0_1371,i_0_917,i_0_1145,i_0_870,i_0_772,i_0_773,i_0_782,i_0_788,i_0_790,i_0_889,i_0_894,i_0_907,i_0_928,i_0_929,i_0_930,i_0_931,i_0_933,i_0_934,i_0_981,i_0_987,i_0_989,i_0_1017,i_0_1167,i_0_1210,i_0_640,i_0_649,i_0_650,i_0_712,i_0_747,i_0_748,i_0_873,i_0_914,i_0_915,i_0_916,i_0_1037,i_0_1041,i_0_1060,i_0_1065,i_0_1066,i_0_1223,i_0_656,i_0_844,i_0_846,i_0_852,i_0_856,i_0_1168,i_0_1221,i_0_1222,i_0_1224,i_0_1225,i_0_1226,i_0_1228,i_0_1229,i_0_1230,i_0_1231,i_0_1233,i_0_1234,i_0_1249,i_0_1250,i_0_694,i_0_820,i_0_825,i_0_827,i_0_833,i_0_848,i_0_869,i_0_871,i_0_1236,i_0_1237,i_0_1238,i_0_1239,i_0_1248,i_0_687,i_0_728]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV801-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 05:58:57 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.72/1.67 % Version : CSE_E---1.7
% 0.72/1.67 % Problem : theBenchmark.p
% 0.72/1.67 % SZS status Unsatisfiable for theBenchmark.p
% 0.72/1.67 % SZS output start CNFRefutation
% See solution above
% 1.77/2.76 % Total time : 1.324s
%------------------------------------------------------------------------------