%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV733-1 : TPTP v9.2.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 05:27:17 PM UTC 2026
% Result : Unsatisfiable 1.78s 1.66s
% Output : CNFRefutation 7.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_746)
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
cnf(cls_parts__insert__HPair_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OHPair(X1,X2),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__HPair_0) ).
cnf(cls_HPair__eq__MPair_2,axiom,
c_Message_OHPair(X1,X2) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq__MPair_2) ).
cnf(cls_analz__insert__HPair_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OHPair(X1,X2),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__HPair_0) ).
cnf(cls_HPair__synth__analz_2,axiom,
( c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__synth__analz_2) ).
cnf(cls_HPair__synth__analz_0,axiom,
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__synth__analz_0) ).
cnf(cls_HPair__synth__analz_1,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_OHPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__synth__analz_1) ).
cnf(cls_keysFor__insert__HPair_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__HPair_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/sandbox/benchmark/theBenchmark.p',cls_priK__in__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/sandbox/benchmark/theBenchmark.p',cls_knows__Nil_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
cnf(cls_HPair__eq_0,axiom,
( X1 = X3
| c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq_0) ).
cnf(cls_HPair__eq_1,axiom,
( X2 = X4
| c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
cnf(cls_MPair__eq__HPair_0,axiom,
( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))
| c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__eq__HPair_0) ).
cnf(cls_HPair__eq__MPair_0,axiom,
( X3 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))
| c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq__MPair_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/sandbox/benchmark/theBenchmark.p',cls_shrK__in__initState_0) ).
cnf(cls_HPair__eq__MPair_1,axiom,
( X4 = X2
| c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_HPair__eq__MPair_1) ).
cnf(cls_MPair__eq__HPair_1,axiom,
( X2 = X4
| c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_MPair__eq__HPair_1) ).
cnf(cls_Crypt__neq__HPair_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_OHPair(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__neq__HPair_0) ).
cnf(cls_Key__neq__HPair_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_OHPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Key__neq__HPair_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/sandbox/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
cnf(cls_Hash__neq__HPair_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_OHPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__neq__HPair_0) ).
cnf(cls_Nonce__neq__HPair_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_OHPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nonce__neq__HPair_0) ).
cnf(cls_Agent__neq__HPair_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_OHPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Agent__neq__HPair_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
cnf(cls_inj__transfer_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4,X3,X5),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X4,X3,X5))))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__transfer_1) ).
cnf(cls_fun__upd__twist_0,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).
cnf(cls_fun__upd__upd_0,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OOops_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/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
cnf(cls_fun__upd__image_0,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_in(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
cnf(cls_inj__on__image__iff_2,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
cnf(cls_inj__on__image__iff_3,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5),X3,X4)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__iff_3) ).
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/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
cnf(cls_inj__on__Un_3,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_3) ).
cnf(cls_range__ex1__eq_2,axiom,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X4),X1,X4,X3,X2))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_2) ).
cnf(cls_inj__on__fun__updI_0,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__fun__updI_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/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_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/sandbox/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
cnf(cls_inv__into__injective_0,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__injective_0) ).
cnf(cls_inj__on__insert_1,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_1) ).
cnf(cls_range__ex1__eq_3,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4) != X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_3) ).
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/sandbox/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
cnf(cls_image__diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__diff__subset_0) ).
cnf(cls_image__Int__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int__subset_0) ).
cnf(cls_fun__upd__image_1,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| c_in(X2,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__image_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
cnf(cls_inj__on__insert_2,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_2) ).
cnf(cls_the__inv__into__into_0,axiom,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__into_0) ).
cnf(cls_fun__upd__other_0,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).
cnf(cls_fun__upd__apply_1,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
cnf(cls_fun__upd__same_0,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
cnf(cls_inj__on__Un_2,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_2) ).
cnf(cls_f__the__inv__into__f_0,axiom,
( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__the__inv__into__f_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/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_0) ).
cnf(cls_parts__insert2_0,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
cnf(cls_inj__on__image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__set__diff_0) ).
cnf(cls_inj__on__image__Int_0,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__image__Int_0) ).
cnf(cls_range__ex1__eq_0,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__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)
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_0) ).
cnf(cls_Un__Int__crazy_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__crazy_0) ).
cnf(cls_insert__Key__image_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),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_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(X1,X2,tc_nat),tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Key__image_0) ).
cnf(cls_vimage__subsetI_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),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/sandbox/benchmark/theBenchmark.p',cls_vimage__subsetI_0) ).
cnf(cls_image__set__diff_0,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__set__diff_0) ).
cnf(cls_image__Int_0,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__Int_0) ).
cnf(cls_inv__into__into_0,axiom,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__into_0) ).
cnf(cls_fun__upd__idem__iff_0,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).
cnf(cls_f__inv__into__f_0,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_f__inv__into__f_0) ).
cnf(cls_vimage__insert_0,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__insert_0) ).
cnf(cls_range__ex1__eq_1,axiom,
( X2 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X2),X1,X4,X3)
| ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_range__ex1__eq_1) ).
cnf(cls_image__inv__f__f_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__inv__f__f_0) ).
cnf(cls_inv__image__comp_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__image__comp_0) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
cnf(cls_inv__into__image__cancel_0,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__image__cancel_0) ).
cnf(cls_vimage__code_0,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__code_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inj__image__subset__iff_1) ).
cnf(cls_inj__transfer_0,axiom,
( hBOOL(hAPP(X1,X2))
| c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X3,X4,X5),c_Set_Oimage(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__transfer_0) ).
cnf(cls_inj__on__inv__into_0,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__inv__into_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
cnf(cls_the__inv__into__onto_0,axiom,
( c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = X1
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__onto_0) ).
cnf(cls_inj__on__the__inv__into_0,axiom,
( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__the__inv__into_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/sandbox/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
cnf(cls_image__vimage__subset_0,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__subset_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/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
cnf(cls_vimage__singleton__eq_0,axiom,
( hAPP(X1,X2) = X3
| ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
cnf(cls_vimage__Diff_0,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Diff_0) ).
cnf(cls_vimage__Int_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Int_0) ).
cnf(cls_vimage__Un_0,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Un_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inj__image__mem__iff_0) ).
cnf(cls_image__vimage__eq_0,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__vimage__eq_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/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un__image__eq__iff_0) ).
cnf(cls_subset__insert__iff_4,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_4) ).
cnf(cls_diff__single__insert_0,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__single__insert_0) ).
cnf(cls_subset__insert__iff_3,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_3) ).
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/sandbox/benchmark/theBenchmark.p',cls_inj__image__eq__iff_0) ).
cnf(cls_fun__upd__idem__iff_1,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
cnf(cls_fun__upd__triv_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).
cnf(cls_fun__upd__idem_0,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).
cnf(cls_inj__vimage__image__eq_0,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__vimage__image__eq_0) ).
cnf(cls_vimage__mono_0,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__mono_0) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
cnf(cls_vimage__code_1,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__code_1) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_lemma1_0) ).
cnf(cls_the__inv__f__f_0,axiom,
( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__f__f_0) ).
cnf(cls_inv__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__f_0) ).
cnf(cls_inv__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__f__eq_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/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
cnf(cls_vimage__singleton__eq_1,axiom,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__singleton__eq_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
cnf(cls_Fake__parts__sing__imp__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,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_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/sandbox/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
cnf(cls_subset__insert__iff_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_0) ).
cnf(cls_the__inv__into__f__f_0,axiom,
( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__f__f_0) ).
cnf(cls_the__inv__into__f__eq_0,axiom,
( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_the__inv__into__f__eq_0) ).
cnf(cls_inv__into__f__f_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__f_0) ).
cnf(cls_inv__into__f__eq_0,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ c_in(X1,X2,X3)
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inv__into__f__eq_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/sandbox/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_Kab,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
cnf(cls_vimageD_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageD_0) ).
cnf(cls_vimageE_0,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageE_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_image__insert_0) ).
cnf(cls_distrib__inf__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__inf__le_0) ).
cnf(cls_distrib__sup__le_0,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_distrib__sup__le_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_inj__on__Un_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/benchmark/theBenchmark.p',cls_parts__cut_0) ).
cnf(cls_Hash__notin__image__Key_0,axiom,
~ c_in(c_Message_Omsg_OHash(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__notin__image__Key_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/sandbox/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
cnf(cls_doubleton__eq__iff_0,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
cnf(cls_doubleton__eq__iff_1,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
cnf(cls_doubleton__eq__iff_2,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
cnf(cls_doubleton__eq__iff_3,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
cnf(cls_Diff__insert2_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert2_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/sandbox/benchmark/theBenchmark.p',cls_inj__on__insert_0) ).
cnf(cls_Un__Int__assoc__eq_0,axiom,
( c_lessequals(X4,X1,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_0) ).
cnf(cls_used__Says_0,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Says_0) ).
cnf(cls_inj__on__diff_0,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__diff_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
cnf(cls_Fake__parts__sing_0,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),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/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__sing_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_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/sandbox/benchmark/theBenchmark.p',cls_parts__image__Key_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/sandbox/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
cnf(cls_insert__Diff_0,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
cnf(cls_parts__insert__knows__A_0,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X2,X3)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__knows__A_0) ).
cnf(cls_insert__Diff__single_0,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__single_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/sandbox/benchmark/theBenchmark.p',cls_rangeI_0) ).
cnf(cls_parts__insert__spies_0,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__spies_0) ).
cnf(cls_vimageI_0,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI_0) ).
cnf(cls_vimageI2_0,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimageI2_0) ).
cnf(cls_vimage__eq_1,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__eq_1) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_in__parts__UnE_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/sandbox/benchmark/theBenchmark.p',cls_imageI_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/sandbox/benchmark/theBenchmark.p',cls_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/sandbox/benchmark/theBenchmark.p',cls_image__iff_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_1) ).
cnf(cls_parts__singleton_1,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__singleton_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Key__image__eq_1) ).
cnf(cls_used__Notes_0,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Notes_0) ).
cnf(cls_Diff__mono_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__mono_0) ).
cnf(cls_Int__mono_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(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/sandbox/benchmark/theBenchmark.p',cls_Int__mono_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Un__mono_0) ).
cnf(cls_Diff__insert_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert_0) ).
cnf(cls_Diff__Int2_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int2_0) ).
cnf(cls_Un__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(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(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff_0) ).
cnf(cls_Diff__Int__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib2_0) ).
cnf(cls_Int__Un__distrib2_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(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(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib2_0) ).
cnf(cls_Un__Int__distrib2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib2_0) ).
cnf(cls_Diff__Int_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int_0) ).
cnf(cls_Diff__Un_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Un_0) ).
cnf(cls_Diff__Int__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__Int__distrib_0) ).
cnf(cls_Int__Un__distrib_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Un__distrib_0) ).
cnf(cls_Un__Int__distrib_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__distrib_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/sandbox/benchmark/theBenchmark.p',cls_inj__on__contraD_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/sandbox/benchmark/theBenchmark.p',cls_inj__on__iff_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/sandbox/benchmark/theBenchmark.p',cls_inj__on__def_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/sandbox/benchmark/theBenchmark.p',cls_inj__onD_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/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_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/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
cnf(cls_Diff__subset__conv_1,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_1) ).
cnf(cls_Diff__subset__conv_0,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset__conv_0) ).
cnf(cls_subset__singletonD_0,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__singletonD_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/sandbox/benchmark/theBenchmark.p',cls_sup1E_0) ).
cnf(cls_parts__insert_0,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert_0) ).
cnf(cls_Un__Int__assoc__eq_1,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Int__assoc__eq_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_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/sandbox/benchmark/theBenchmark.p',cls_synth__cut_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/sandbox/benchmark/theBenchmark.p',cls_analz__cut_0) ).
cnf(cls_used__parts__subset__parts_0,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
cnf(cls_inf1E_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_0) ).
cnf(cls_inf1E_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1E_1) ).
cnf(cls_image__constant_0,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ c_in(X5,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_set__ConsD_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/sandbox/benchmark/theBenchmark.p',cls_parts__Un__subset1_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/sandbox/benchmark/theBenchmark.p',cls_synth__Un_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/sandbox/benchmark/theBenchmark.p',cls_analz__Un_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
cnf(cls_doubleton__eq__iff_4,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
cnf(cls_insert__inter__insert_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__inter__insert_0) ).
cnf(cls_image__constant__conv_1,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_1) ).
cnf(cls_Int__insert__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_0) ).
cnf(cls_Int__insert__right_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X2,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_0) ).
cnf(cls_double__diff_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__diff_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
cnf(cls_Int__subset__iff_2,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_2) ).
cnf(cls_Int__greatest_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__greatest_0) ).
cnf(cls_parts__insert__eq__I_1,axiom,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(X2,X1),c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__eq__I_1) ).
cnf(cls_analz__insert__eq__I_1,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X2,X1),c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq__I_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_pushes_I12_J_0) ).
cnf(cls_vimage__const_0,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_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/sandbox/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Crypt__Spy__analz__bad_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_parts__insert__eq__I_0,axiom,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(X2,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__eq__I_0) ).
cnf(cls_analz__insert__eq__I_0,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X2,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq__I_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_pushes_I5_J_0) ).
cnf(cls_Int__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__Diff_0) ).
cnf(cls_Int__assoc_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__assoc_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
cnf(cls_Int__left__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__commute_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/sandbox/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
cnf(cls_empty__is__image_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
cnf(cls_image__is__empty_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__is__empty_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/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
cnf(cls_Diff__insert__absorb_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__insert__absorb_0) ).
cnf(cls_insert__Diff__if_1,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff__if_1) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
cnf(cls_Int__subset__iff_0,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_0) ).
cnf(cls_Int__subset__iff_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__subset__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
cnf(cls_inf__sup__distrib2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib2_0) ).
cnf(cls_sup__inf__distrib2_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib2_0) ).
cnf(cls_inf__sup__distrib1_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__distrib1_0) ).
cnf(cls_sup__inf__distrib1_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__distrib1_0) ).
cnf(cls_vimage__const_1,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
cnf(cls_image__constant__conv_0,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__constant__conv_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/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
cnf(cls_inf1I_0,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf1I_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/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_subset__insert_0) ).
cnf(cls_singletonE_0,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singletonE_0) ).
cnf(cls_insert__code_0,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_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/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_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/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__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/sandbox/benchmark/theBenchmark.p',cls_insert__mono_0) ).
cnf(cls_DiffE_1,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_knows__Says_0) ).
cnf(cls_pushes_I11_J_0,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OHash(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I11_J_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__Decrypt_H_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/sandbox/benchmark/theBenchmark.p',cls_parts__insert__subset_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/sandbox/benchmark/theBenchmark.p',cls_synth__insert_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/sandbox/benchmark/theBenchmark.p',cls_analz__insert_0) ).
cnf(cls_pushes_I4_J_0,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OHash(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pushes_I4_J_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__subset_2) ).
cnf(cls_Hash__synth__analz_0,axiom,
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth__analz_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/sandbox/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
cnf(cls_Hash__synth__analz_1,axiom,
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth__analz_1) ).
cnf(cls_Un__Diff__Int_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__Int_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_sup1CI_0) ).
cnf(cls_DiffE_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffE_0) ).
cnf(cls_IntE_0,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_0) ).
cnf(cls_IntE_1,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntE_1) ).
cnf(cls_IntI_0,axiom,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IntI_0) ).
cnf(cls_Int__iff_2,axiom,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__iff_2) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_subset__insert_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
cnf(cls_Diff__partition_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__partition_0) ).
cnf(cls_DiffI_0,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_DiffI_0) ).
cnf(cls_Diff__iff_2,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__iff_2) ).
cnf(cls_insert__Diff1_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__Diff1_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insert__subset_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Spy__analz__shrK_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/sandbox/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
cnf(cls_insert__is__Un_0,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__is__Un_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__supI_0) ).
cnf(cls_le__infI_0,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI_0) ).
cnf(cls_le__inf__iff_2,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_2) ).
cnf(cls_inf__greatest_0,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__greatest_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
cnf(cls_disjoint__iff__not__equal_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_disjoint__iff__not__equal_0) ).
cnf(cls_singleton__inject_0,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
cnf(cls_inf__sup__aci_I2_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I2_J_0) ).
cnf(cls_inf__assoc_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__assoc_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/sandbox/benchmark/theBenchmark.p',cls_sup__assoc_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
cnf(cls_inf__sup__aci_I3_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I3_J_0) ).
cnf(cls_inf__left__commute_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__commute_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/sandbox/benchmark/theBenchmark.p',cls_sup__left__commute_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_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/sandbox/benchmark/theBenchmark.p',cls_analz__cong_0) ).
cnf(cls_vimage__UNIV_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__UNIV_0) ).
cnf(cls_vimage__empty_0,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__empty_0) ).
cnf(cls_image__empty_0,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__empty_0) ).
cnf(cls_empty__is__image_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_2) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__trans_0) ).
cnf(cls_le__eqI_1,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_1) ).
cnf(cls_le__eqI_0,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__eqI_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/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
cnf(cls_Int__insert__left_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__left_1) ).
cnf(cls_Int__insert__right_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__insert__right_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
cnf(cls_le__inf__iff_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_0) ).
cnf(cls_le__infE_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_0) ).
cnf(cls_le__inf__iff_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__inf__iff_1) ).
cnf(cls_le__infE_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infE_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
cnf(cls_Diff__idemp_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__idemp_0) ).
cnf(cls_Un__Diff__cancel2_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel2_0) ).
cnf(cls_Int__left__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__left__absorb_0) ).
cnf(cls_Un__Diff__cancel_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,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/sandbox/benchmark/theBenchmark.p',cls_Un__Diff__cancel_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
cnf(cls_inj__on__empty_0,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inj__on__empty_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/sandbox/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__eq_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_insert__ident_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/sandbox/benchmark/theBenchmark.p',cls_parts__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/sandbox/benchmark/theBenchmark.p',cls_synth__trans_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
cnf(cls_singleton__iff_1,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__iff_0) ).
cnf(cls_Diff__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__disjoint_0) ).
cnf(cls_le__infI1_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI1_0) ).
cnf(cls_le__infI2_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__infI2_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_le__supI2_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_privateKey__into__used_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/sandbox/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_equalityI_0) ).
cnf(cls_insert__code_1,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__code_1) ).
cnf(cls_Diff__triv_0,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__triv_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
cnf(cls_parts__emptyE_0,axiom,
~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__emptyE_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
cnf(cls_subset__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_0) ).
cnf(cls_Diff__subset_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__subset_0) ).
cnf(cls_Int__lower1_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower1_0) ).
cnf(cls_Int__lower2_0,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__lower2_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Un__upper2_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
cnf(cls_keysFor__insert__Crypt_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Crypt_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_usedI_0) ).
cnf(cls_inf__sup__aci_I4_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I4_J_0) ).
cnf(cls_inf__left__idem_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__left__idem_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/sandbox/benchmark/theBenchmark.p',cls_sup__left__idem_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
cnf(cls_Hash__synth_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Hash__synth_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_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/sandbox/benchmark/theBenchmark.p',cls_parts__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/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
cnf(cls_bex__empty_0,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bex__empty_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_parts__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/sandbox/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_Un__empty_2,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_Key__synth_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/sandbox/benchmark/theBenchmark.p',cls_parts__cut__eq_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/sandbox/benchmark/theBenchmark.p',cls_analz__insert__eq_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/sandbox/benchmark/theBenchmark.p',cls_parts__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/sandbox/benchmark/theBenchmark.p',cls_synth__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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
cnf(cls_Int__absorb2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb2_0) ).
cnf(cls_Int__absorb1_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb1_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_predicate1D_0) ).
cnf(cls_ball__empty_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ball__empty_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_MPair__used_1) ).
cnf(cls_Un__empty_0,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_0) ).
cnf(cls_Un__empty_1,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_parts__insert__Hash_0,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Hash_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
cnf(cls_analz__insert__Hash_0,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__insert__Hash_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
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/sandbox/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_order__antisym_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/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
cnf(cls_subset__empty_1,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__empty_1) ).
cnf(cls_eq__eqI_1,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_1) ).
cnf(cls_eq__eqI_0,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__eqI_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/sandbox/benchmark/theBenchmark.p',cls_spies__pubK_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/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
cnf(cls_parts__singleton_0,axiom,
( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X1,X2),X1,tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__singleton_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/sandbox/benchmark/theBenchmark.p',cls_parts__partsD_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/sandbox/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
cnf(cls_inf__sup__absorb_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__absorb_0) ).
cnf(cls_sup__inf__absorb_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__inf__absorb_0) ).
cnf(cls_inf__sup__ord_I1_J_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I1_J_0) ).
cnf(cls_inf__le1_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le1_0) ).
cnf(cls_inf__sup__ord_I2_J_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I2_J_0) ).
cnf(cls_inf__le2_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__le2_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/sandbox/benchmark/theBenchmark.p',cls_sup__ge1_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_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/sandbox/benchmark/theBenchmark.p',cls_sup__ge2_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
cnf(cls_emptyE_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_emptyE_0) ).
cnf(cls_empty__iff_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__iff_0) ).
cnf(cls_ex__in__conv_0,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ex__in__conv_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/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_insertCI_1) ).
cnf(cls_insertI1_0,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Nonce__synth__eq_1) ).
cnf(cls_synth_OHash_0,axiom,
( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OHash_0) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
cnf(cls_empty__Diff_0,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Diff_0) ).
cnf(cls_Int__empty__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__left_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/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
cnf(cls_Diff__UNIV_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__UNIV_0) ).
cnf(cls_Int__empty__right_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__empty__right_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/sandbox/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
cnf(cls_Int__commute_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__commute_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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
cnf(cls_le__iff__inf_1,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
cnf(cls_le__iff__inf_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__inf_0) ).
cnf(cls_inf__absorb2_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__absorb2_0) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_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/sandbox/benchmark/theBenchmark.p',cls_parts_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/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_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/sandbox/benchmark/theBenchmark.p',cls_analz_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
cnf(cls_Int__UNIV__left_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
cnf(cls_Un__empty__left_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
cnf(cls_Diff__empty_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__empty_0) ).
cnf(cls_Int__UNIV__right_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__right_0) ).
cnf(cls_Un__empty__right_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
cnf(cls_empty__subsetI_0,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_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/sandbox/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
cnf(cls_empty__not__insert_0,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
cnf(cls_insert__not__empty_0,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__not__empty_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
cnf(cls_keysFor__insert__Hash_0,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Hash_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
cnf(cls_COMBK__def_0,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_linorder__linear_0,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_inf__sup__aci_I1_J_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I1_J_0) ).
cnf(cls_inf__commute_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__commute_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/sandbox/benchmark/theBenchmark.p',cls_sup__commute_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/sandbox/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_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/sandbox/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I6_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
cnf(cls_inf__eq__top__eq1_0,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq1_0) ).
cnf(cls_sup__eq__bot__eq1_0,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
cnf(cls_inf__eq__top__eq2_0,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__eq__top__eq2_0) ).
cnf(cls_sup__eq__bot__eq2_0,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
cnf(cls_Diff__cancel_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Diff__cancel_0) ).
cnf(cls_mem__def_1,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_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/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_analz__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/sandbox/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
cnf(cls_list_Osimps_I3_J_0,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
cnf(cls_UNIV__not__empty_0,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
cnf(cls_parts__increasing_0,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__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/sandbox/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
cnf(cls_analz__increasing_0,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
cnf(cls_Server__not__bad_0,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
cnf(cls_Int__absorb_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__absorb_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).
cnf(cls_equalityE_0,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
cnf(cls_parts__empty_0,axiom,
c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__empty_0) ).
cnf(cls_analz__empty_0,axiom,
c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__empty_0) ).
cnf(cls_inf__bot__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__left_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/sandbox/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
cnf(cls_inf__bot__right_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__bot__right_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/sandbox/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
cnf(cls_set__empty2_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_List_Oset(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty2_0) ).
cnf(cls_set__empty_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty_0) ).
cnf(cls_inf__top__left_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__left_0) ).
cnf(cls_sup__bot__left_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
cnf(cls_inf__top__right_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Otop__class_Otop(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__top__right_0) ).
cnf(cls_sup__bot__right_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
cnf(cls_bot__least_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot__least_0) ).
cnf(cls_top__greatest_0,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
cnf(cls_inf__idem_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inf__idem_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
c_fequal(X1,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
cnf(cls_shrK__neq__pubK_0,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
cnf(cls_Spy__in__bad_0,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
cnf(cls_set__empty2_1,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty2_1) ).
cnf(cls_set__empty_1,axiom,
c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__empty_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_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/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I3_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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I48_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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
cnf(cls_invKey__shrK_0,axiom,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
cnf(clsarity_fun__Orderings_Otop,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
cnf(clsarity_fun__Orderings_Obot,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
cnf(clsarity_fun__HOL_Oord,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
cnf(clsarity_fun__Orderings_Opreorder,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Odistrib__lattice) ).
cnf(clsarity_fun__Lattices_Olattice,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olower__semilattice) ).
cnf(cls_msg_Osimps_I47_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OHash(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I47_J_0) ).
cnf(cls_msg_Osimps_I37_J_0,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
cnf(cls_msg_Osimps_I45_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OHash(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I45_J_0) ).
cnf(cls_msg_Osimps_I35_J_0,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
cnf(cls_msg_Osimps_I46_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I46_J_0) ).
cnf(cls_msg_Osimps_I44_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OMPair(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I44_J_0) ).
cnf(cls_msg_Osimps_I36_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
cnf(cls_msg_Osimps_I38_J_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OHash(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I38_J_0) ).
cnf(cls_msg_Osimps_I31_J_0,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
cnf(cls_msg_Osimps_I39_J_0,axiom,
c_Message_Omsg_OHash(X1) != hAPP(c_Message_Omsg_OKey,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I39_J_0) ).
cnf(cls_msg_Osimps_I30_J_0,axiom,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
cnf(cls_msg_Osimps_I5_J_0,axiom,
( X1 = X2
| c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I5_J_0) ).
cnf(cls_invKey__eq_0,axiom,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
cnf(cls_msg_Osimps_I3_J_0,axiom,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
cnf(cls_parts__idem_0,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).
cnf(cls_parts__analz_0,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__analz_0) ).
cnf(cls_synth__idem_0,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth__idem_0) ).
cnf(cls_analz__parts_0,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__parts_0) ).
cnf(cls_analz__idem_0,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__idem_0) ).
cnf(cls_msg_Osimps_I33_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I33_J_0) ).
cnf(cls_msg_Osimps_I15_J_0,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I15_J_0) ).
cnf(cls_msg_Osimps_I32_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OHash(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I32_J_0) ).
cnf(cls_msg_Osimps_I14_J_0,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OHash(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I14_J_0) ).
cnf(cls_msg_Osimps_I11_J_0,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
cnf(clsarity_nat__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
cnf(clsarity_bool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
cnf(clsarity_nat__Orderings_Obot,axiom,
class_Orderings_Obot(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
cnf(clsarity_bool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
class_Lattices_Obounded__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
cnf(clsarity_nat__HOL_Oord,axiom,
class_HOL_Oord(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
cnf(clsarity_bool__HOL_Oord,axiom,
class_HOL_Oord(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
cnf(clsarity_nat__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
cnf(clsarity_bool__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
cnf(clsarity_nat__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
cnf(clsarity_bool__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Odistrib__lattice) ).
cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Odistrib__lattice) ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
cnf(clsarity_bool__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
cnf(clsarity_nat__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olower__semilattice) ).
cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olower__semilattice) ).
cnf(cls_agent_Osimps_I5_J_0,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
cnf(i_0_746,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_747,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_748,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_749,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_750,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OHPair(X1,X2),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
cls_parts__insert__HPair_0 ).
cnf(i_0_751,axiom,
c_Message_OHPair(X1,X2) = c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),
cls_HPair__eq__MPair_2 ).
cnf(i_0_752,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OHPair(X1,X2),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
cls_analz__insert__HPair_0 ).
cnf(i_0_753,axiom,
( c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_HPair__synth__analz_2 ).
cnf(i_0_754,axiom,
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_OHPair(X1,X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
cls_HPair__synth__analz_0 ).
cnf(i_0_755,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_OHPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
cls_HPair__synth__analz_1 ).
cnf(i_0_756,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_OHPair(X1,X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
cls_keysFor__insert__HPair_0 ).
cnf(i_0_757,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_758,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
cls_knows__Nil_0 ).
cnf(i_0_759,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_760,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_761,axiom,
( X1 = X3
| c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
cls_HPair__eq_0 ).
cnf(i_0_762,axiom,
( X2 = X4
| c_Message_OHPair(X1,X2) != c_Message_OHPair(X3,X4) ),
cls_HPair__eq_1 ).
cnf(i_0_763,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_764,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_765,axiom,
( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))
| c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
cls_MPair__eq__HPair_0 ).
cnf(i_0_766,axiom,
( X3 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))
| c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
cls_HPair__eq__MPair_0 ).
cnf(i_0_767,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_768,axiom,
( X4 = X2
| c_Message_OHPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
cls_HPair__eq__MPair_1 ).
cnf(i_0_769,axiom,
( X2 = X4
| c_Message_Omsg_OMPair(X1,X2) != c_Message_OHPair(X3,X4) ),
cls_MPair__eq__HPair_1 ).
cnf(i_0_770,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_OHPair(X3,X4),
cls_Crypt__neq__HPair_0 ).
cnf(i_0_771,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_OHPair(X2,X3),
cls_Key__neq__HPair_0 ).
cnf(i_0_772,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_773,axiom,
c_Message_Omsg_OHash(X1) != c_Message_OHPair(X2,X3),
cls_Hash__neq__HPair_0 ).
cnf(i_0_774,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_OHPair(X2,X3),
cls_Nonce__neq__HPair_0 ).
cnf(i_0_775,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_OHPair(X2,X3),
cls_Agent__neq__HPair_0 ).
cnf(i_0_776,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_777,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_778,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4,X3,X5),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X4,X3,X5))))
| ~ c_Fun_Oinj__on(X4,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X5) ),
cls_inj__transfer_1,
[final] ).
cnf(i_0_779,axiom,
( c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X7,X4,X5) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X6,X7,X4,X5),X2,X3,X4,X5)
| X2 = X6 ),
cls_fun__upd__twist_0,
[final] ).
cnf(i_0_780,axiom,
c_Fun_Ofun__upd(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2,X6,X4,X5) = c_Fun_Ofun__upd(X1,X2,X6,X4,X5),
cls_fun__upd__upd_0,
[final] ).
cnf(i_0_781,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_782,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_783,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oinsert(X3,c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X6,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_in(X2,X6,X4) ),
cls_fun__upd__image_0,
[final] ).
cnf(i_0_784,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_785,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_786,axiom,
( c_Fun_Oinj__on(X1,X2,X3,X4)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X2,X5,X1,X3,X4),X2,X3)
| ~ c_Fun_Oinj__on(X1,c_Set_Oimage(X5,X2,X3,X3),X3,X4)
| ~ c_Fun_Oinj__on(X5,X2,X3,X3) ),
cls_inj__on__image__iff_2,
[final] ).
cnf(i_0_787,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_788,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_789,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_790,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oimage(X2,X3,X4,X4),X4,X5)
| c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X3,X2,X1,X4,X5),X3,X4)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X4) ),
cls_inj__on__image__iff_3,
[final] ).
cnf(i_0_791,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_792,axiom,
( c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__Un_3,
[final] ).
cnf(i_0_793,axiom,
( c_in(hAPP(X1,X4),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3),X3)
| hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X4),X1,X4,X3,X2))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
cls_range__ex1__eq_2,
[final] ).
cnf(i_0_794,axiom,
( c_Fun_Oinj__on(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5)
| c_in(X3,c_Set_Oimage(X1,X6,X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__fun__updI_0,
[final] ).
cnf(i_0_795,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_796,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_797,axiom,
( X5 = X6
| hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5) != hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X6)
| ~ c_in(X6,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
cls_inv__into__injective_0,
[final] ).
cnf(i_0_798,axiom,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5) ),
cls_inj__on__insert_1,
[final] ).
cnf(i_0_799,axiom,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3),X3)
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(X1,X2),X1,X2,X3,X4) != X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
cls_range__ex1__eq_3,
[final] ).
cnf(i_0_800,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_801,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X3,X4),c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool)),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X5,tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__diff__subset_0,
[final] ).
cnf(i_0_802,axiom,
c_lessequals(c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
cls_image__Int__subset_0,
[final] ).
cnf(i_0_803,axiom,
( c_Set_Oimage(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6,X4,X5) = c_Set_Oimage(X1,X6,X4,X5)
| c_in(X2,X6,X4) ),
cls_fun__upd__image_1,
[final] ).
cnf(i_0_804,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_805,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_806,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_807,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_808,axiom,
( c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
cls_inj__on__insert_2,
[final] ).
cnf(i_0_809,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_746,
[final] ).
cnf(i_0_810,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_747]),
[final] ).
cnf(i_0_811,axiom,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_the__inv__into__into_0,
[final] ).
cnf(i_0_812,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__other_0,
[final] ).
cnf(i_0_813,axiom,
( hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X6) = hAPP(X1,X6)
| X6 = X2 ),
cls_fun__upd__apply_1,
[final] ).
cnf(i_0_814,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__apply_0,
[final] ).
cnf(i_0_815,axiom,
hAPP(c_Fun_Ofun__upd(X1,X2,X3,X4,X5),X2) = X3,
cls_fun__upd__same_0,
[final] ).
cnf(i_0_816,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_748]),
[final] ).
cnf(i_0_817,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_749,
[final] ).
cnf(i_0_818,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,X2,tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__on__Un_2,
[final] ).
cnf(i_0_819,axiom,
( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
cls_f__the__inv__into__f_0,
[final] ).
cnf(i_0_820,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_821,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,tc_Message_Omsg),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__insert2_0,
[final] ).
cnf(i_0_822,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__set__diff_0,
[final] ).
cnf(i_0_823,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_lessequals(X3,X6,tc_fun(X4,tc_bool))
| ~ c_lessequals(X2,X6,tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,X6,X4,X5) ),
cls_inj__on__image__Int_0,
[final] ).
cnf(i_0_824,axiom,
( X1 = hAPP(X2,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__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)
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X3) ),
cls_range__ex1__eq_0,
[final] ).
cnf(i_0_825,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Int__crazy_0,
[final] ).
cnf(i_0_826,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),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_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oinsert(X1,X2,tc_nat),tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool)),
cls_insert__Key__image_0,
[final] ).
cnf(i_0_827,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),X5,tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,c_Set_Oimage(X1,X5,X3,X4),tc_fun(X4,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_vimage__subsetI_0,
[final] ).
cnf(i_0_828,axiom,
( c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__set__diff_0,
[final] ).
cnf(i_0_829,axiom,
( c_Set_Oimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4,X5) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X1,X2,X4,X5),c_Set_Oimage(X1,X3,X4,X5),tc_fun(X5,tc_bool))
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_image__Int_0,
[final] ).
cnf(i_0_830,axiom,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
cls_inv__into__into_0,
[final] ).
cnf(i_0_831,axiom,
( hAPP(X1,X2) = X3
| c_Fun_Ofun__upd(X1,X2,X3,X4,X5) != X1 ),
cls_fun__upd__idem__iff_0,
[final] ).
cnf(i_0_832,axiom,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
cls_f__inv__into__f_0,
[final] ).
cnf(i_0_833,axiom,
c_Set_Ovimage(X1,c_Set_Oinsert(X2,X3,X4),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__insert_0,
[final] ).
cnf(i_0_834,axiom,
( X2 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X2),X1,X4,X3)
| ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_range__ex1__eq_1,
[final] ).
cnf(i_0_835,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_image__inv__f__f_0,
[final] ).
cnf(i_0_836,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oimage(X2,X4,X1,X3),X3,X1) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__image__comp_0,
[final] ).
cnf(i_0_837,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_838,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_839,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_840,axiom,
( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X5,X3,X4),X4,X3) = X5
| ~ c_lessequals(X5,X1,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__image__cancel_0,
[final] ).
cnf(i_0_841,axiom,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
cls_vimage__code_0,
[final] ).
cnf(i_0_842,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_843,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_844,axiom,
( hBOOL(hAPP(X1,X2))
| c_in(c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(X1,X3,X4,X5),c_Set_Oimage(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5),X5)
| ~ c_Fun_Oinj__on(X3,c_Orderings_Otop__class_Otop(tc_fun(X4,tc_bool)),X4,X5) ),
cls_inj__transfer_0,
[final] ).
cnf(i_0_845,axiom,
( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5,X4,X3)
| ~ c_lessequals(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)) ),
cls_inj__on__inv__into_0,
[final] ).
cnf(i_0_846,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_847,axiom,
( c_Set_Oimage(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3) = X1
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_the__inv__into__onto_0,
[final] ).
cnf(i_0_848,axiom,
( c_Fun_Oinj__on(c_Fun_Othe__inv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inj__on__the__inv__into_0,
[final] ).
cnf(i_0_849,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_850,axiom,
c_lessequals(c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4),X2,tc_fun(X4,tc_bool)),
cls_image__vimage__subset_0,
[final] ).
cnf(i_0_851,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_852,axiom,
( hAPP(X1,X2) = X3
| ~ c_in(X2,c_Set_Ovimage(X1,c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),X5,X4),X5) ),
cls_vimage__singleton__eq_0,
[final] ).
cnf(i_0_853,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_854,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_855,axiom,
c_Set_Ovimage(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Diff_0,
[final] ).
cnf(i_0_856,axiom,
c_Set_Ovimage(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Int_0,
[final] ).
cnf(i_0_857,axiom,
c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X5,X4) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(X1,X2,X5,X4),c_Set_Ovimage(X1,X3,X5,X4),tc_fun(X5,tc_bool)),
cls_vimage__Un_0,
[final] ).
cnf(i_0_858,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_859,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_860,axiom,
c_Set_Oimage(X1,c_Set_Ovimage(X1,X2,X3,X4),X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),tc_fun(X4,tc_bool)),
cls_image__vimage__eq_0,
[final] ).
cnf(i_0_861,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_862,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_4,
[final] ).
cnf(i_0_863,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_diff__single__insert_0,
[final] ).
cnf(i_0_864,axiom,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_in(X2,X1,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_subset__insert__iff_3,
[final] ).
cnf(i_0_865,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_866,plain,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oparts(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_750,c_0_751]),c_0_751]),
[final] ).
cnf(i_0_867,plain,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Set_Oinsert(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_752,c_0_751]),c_0_751]),
[final] ).
cnf(i_0_868,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem__iff_1,
[final] ).
cnf(i_0_869,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__triv_0,
[final] ).
cnf(i_0_870,axiom,
c_Fun_Ofun__upd(X1,X2,hAPP(X1,X2),X3,X4) = X1,
cls_fun__upd__idem_0,
[final] ).
cnf(i_0_871,axiom,
( c_Set_Ovimage(X1,c_Set_Oimage(X1,X2,X3,X4),X3,X4) = X2
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
cls_inj__vimage__image__eq_0,
[final] ).
cnf(i_0_872,axiom,
( c_lessequals(c_Set_Ovimage(X1,X2,X3,X4),c_Set_Ovimage(X1,X5,X3,X4),tc_fun(X3,tc_bool))
| ~ c_lessequals(X2,X5,tc_fun(X4,tc_bool)) ),
cls_vimage__mono_0,
[final] ).
cnf(i_0_873,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_874,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_875,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_876,axiom,
( hBOOL(hAPP(c_Set_Ovimage(X1,X2,X3,X4),X5))
| ~ hBOOL(hAPP(X2,hAPP(X1,X5))) ),
cls_vimage__code_1,
[final] ).
cnf(i_0_877,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_878,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_879,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_880,axiom,
( hAPP(c_Fun_Othe__inv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_the__inv__f__f_0,
[final] ).
cnf(i_0_881,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,X1,X3),hAPP(X2,X4)) = X4
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X3) ),
cls_inv__f__f_0,
[final] ).
cnf(i_0_882,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X1,X2,X3),hAPP(X1,X4)) = X4
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3) ),
cls_inv__f__eq_0,
[final] ).
cnf(i_0_883,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_884,axiom,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4,X3),X4),
cls_vimage__singleton__eq_1,
[final] ).
cnf(i_0_885,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_886,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,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg) ),
cls_Fake__parts__sing__imp__Un_0,
[final] ).
cnf(i_0_887,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_888,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3)
| ~ c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool)) ),
cls_subset__insert__iff_0,
[final] ).
cnf(i_0_889,axiom,
( hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_the__inv__into__f__f_0,
[final] ).
cnf(i_0_890,axiom,
( hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),hAPP(X1,X5)) = X5
| ~ c_Fun_Oinj__on(X1,X2,X3,X4)
| ~ c_in(X5,X2,X3) ),
cls_the__inv__into__f__eq_0,
[final] ).
cnf(i_0_891,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),hAPP(X2,X5)) = X5
| ~ c_in(X5,X1,X3)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
cls_inv__into__f__f_0,
[final] ).
cnf(i_0_892,axiom,
( hAPP(c_Hilbert__Choice_Oinv__into(X2,X4,X3,X5),hAPP(X4,X1)) = X1
| ~ c_in(X1,X2,X3)
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
cls_inv__into__f__eq_0,
[final] ).
cnf(i_0_893,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_894,negated_conjecture,
~ c_in(v_Kab,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_conjecture_1,
[final] ).
cnf(i_0_895,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_896,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_897,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_898,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_899,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_900,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
cls_vimageD_0,
[final] ).
cnf(i_0_901,axiom,
( c_in(hAPP(X1,X2),X3,X4)
| ~ c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
cls_vimageE_0,
[final] ).
cnf(i_0_902,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_903,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_904,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_905,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_906,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_907,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__inf__le_0,
[final] ).
cnf(i_0_908,axiom,
( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_distrib__sup__le_0,
[final] ).
cnf(i_0_909,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_910,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_911,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_912,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_913,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_914,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_915,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_916,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_917,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_918,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_919,axiom,
~ c_in(c_Message_Omsg_OHash(X1),c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),tc_Message_Omsg),
cls_Hash__notin__image__Key_0,
[final] ).
cnf(i_0_920,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_921,axiom,
( X1 = X5
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_0,
[final] ).
cnf(i_0_922,axiom,
( X2 = X4
| X1 = X4
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_1,
[final] ).
cnf(i_0_923,axiom,
( X1 = X5
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_2,
[final] ).
cnf(i_0_924,axiom,
( X2 = X4
| X2 = X5
| c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) != c_Set_Oinsert(X4,c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_doubleton__eq__iff_3,
[final] ).
cnf(i_0_925,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
cls_Diff__insert2_0,
[final] ).
cnf(i_0_926,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_927,axiom,
( c_lessequals(X4,X1,tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Un__Int__assoc__eq_0,
[final] ).
cnf(i_0_928,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OSays(X1,X2,X3),X4,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X4),tc_fun(tc_Message_Omsg,tc_bool)),
cls_used__Says_0,
[final] ).
cnf(i_0_929,axiom,
( c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4,X5)
| ~ c_Fun_Oinj__on(X1,X2,X4,X5) ),
cls_inj__on__diff_0,
[final] ).
cnf(i_0_930,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_931,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),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__sing_0,
[final] ).
cnf(i_0_932,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_933,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_934,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_935,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_936,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_937,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_938,axiom,
( c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__Diff_0,
[final] ).
cnf(i_0_939,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_940,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(X2,X3)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__insert__knows__A_0,
[final] ).
cnf(i_0_941,axiom,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
cls_insert__Diff__single_0,
[final] ).
cnf(i_0_942,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_943,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__insert__spies_0,
[final] ).
cnf(i_0_944,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimageI_0,
[final] ).
cnf(i_0_945,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimageI2_0,
[final] ).
cnf(i_0_946,axiom,
( c_in(X1,c_Set_Ovimage(X2,X3,X4,X5),X4)
| ~ c_in(hAPP(X2,X1),X3,X5) ),
cls_vimage__eq_1,
[final] ).
cnf(i_0_947,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_948,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_949,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_950,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_951,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_952,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_953,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_954,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
cls_parts__singleton_1,
[final] ).
cnf(i_0_955,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_956,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_957,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X3),tc_fun(tc_Message_Omsg,tc_bool)),
cls_used__Notes_0,
[final] ).
cnf(i_0_958,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X4,X5,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X5,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
cls_Diff__mono_0,
[final] ).
cnf(i_0_959,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(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_Int__mono_0,
[final] ).
cnf(i_0_960,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_961,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),
cls_Diff__insert_0,
[final] ).
cnf(i_0_962,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
cls_Diff__Int2_0,
[final] ).
cnf(i_0_963,axiom,
c_HOL_Ominus__class_Ominus(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(c_HOL_Ominus__class_Ominus(X1,X4,tc_fun(X3,tc_bool)),c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Diff_0,
[final] ).
cnf(i_0_964,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Diff__Int__distrib2_0,
[final] ).
cnf(i_0_965,axiom,
c_Lattices_Olower__semilattice__class_Oinf(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(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__Un__distrib2_0,
[final] ).
cnf(i_0_966,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Un__Int__distrib2_0,
[final] ).
cnf(i_0_967,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Diff__Int_0,
[final] ).
cnf(i_0_968,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),c_HOL_Ominus__class_Ominus(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Diff__Un_0,
[final] ).
cnf(i_0_969,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Diff__Int__distrib_0,
[final] ).
cnf(i_0_970,axiom,
c_Lattices_Olower__semilattice__class_Oinf(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_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Int__Un__distrib_0,
[final] ).
cnf(i_0_971,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X4,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Un__Int__distrib_0,
[final] ).
cnf(i_0_972,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_973,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_974,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_975,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_976,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_977,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_978,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Diff__subset__conv_1,
[final] ).
cnf(i_0_979,axiom,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
cls_Diff__subset__conv_0,
[final] ).
cnf(i_0_980,axiom,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
cls_subset__singletonD_0,
[final] ).
cnf(i_0_981,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_982,axiom,
c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__insert_0,
[final] ).
cnf(i_0_983,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),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(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
inference(rw,[status(thm)],[i_0_753,c_0_751]),
[final] ).
cnf(i_0_984,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool))
| ~ c_lessequals(X4,X1,tc_fun(X3,tc_bool)) ),
cls_Un__Int__assoc__eq_1,
[final] ).
cnf(i_0_985,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_986,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_987,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_988,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Event_Oused(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
cls_used__parts__subset__parts_0,
[final] ).
cnf(i_0_989,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X2)) ),
cls_inf1E_0,
[final] ).
cnf(i_0_990,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
cls_inf1E_1,
[final] ).
cnf(i_0_991,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| ~ c_in(X5,X4,X3) ),
cls_image__constant_0,
[final] ).
cnf(i_0_992,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_993,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_994,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_995,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_996,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_997,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_998,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_999,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3),
cls_doubleton__eq__iff_4,
[final] ).
cnf(i_0_1000,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[i_0_754,c_0_751]),
[final] ).
cnf(i_0_1001,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_1002,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_1003,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_1004,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,X4,X3),tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3),
cls_insert__inter__insert_0,
[final] ).
cnf(i_0_1005,axiom,
( c_Set_Oimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2)
| X4 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_image__constant__conv_1,
[final] ).
cnf(i_0_1006,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_1007,plain,
( c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X1)),X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[i_0_755,c_0_751]),
[final] ).
cnf(i_0_1008,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3)
| ~ c_in(X1,X4,X3) ),
cls_Int__insert__left_0,
[final] ).
cnf(i_0_1009,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Set_Oinsert(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X2,X1,X4) ),
cls_Int__insert__right_0,
[final] ).
cnf(i_0_1010,axiom,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = X3
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
cls_double__diff_0,
[final] ).
cnf(i_0_1011,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_1012,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_1013,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
cls_Int__subset__iff_2,
[final] ).
cnf(i_0_1014,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
cls_Int__greatest_0,
[final] ).
cnf(i_0_1015,axiom,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(X2,X1),c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
cls_parts__insert__eq__I_1,
[final] ).
cnf(i_0_1016,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X2,X1),c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg),tc_Message_Omsg) ),
cls_analz__insert__eq__I_1,
[final] ).
cnf(i_0_1017,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_1018,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X2) ),
cls_vimage__const_0,
[final] ).
cnf(i_0_1019,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_1020,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_1021,negated_conjecture,
c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg),
cls_conjecture_3,
[final] ).
cnf(i_0_1022,axiom,
( c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xparts__insert__eq__I__1__1(X2,X1),c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_parts__insert__eq__I_0,
[final] ).
cnf(i_0_1023,axiom,
( c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)) = c_Set_Oinsert(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xanalz__insert__eq__I__1__1(X2,X1),c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
cls_analz__insert__eq__I_0,
[final] ).
cnf(i_0_1024,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_1025,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_1026,axiom,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__Diff_0,
[final] ).
cnf(i_0_1027,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
cls_Int__assoc_0,
[final] ).
cnf(i_0_1028,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_1029,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_1030,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool)),
cls_Int__left__commute_0,
[final] ).
cnf(i_0_1031,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_1032,axiom,
( X3 = c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool))
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oimage(X2,X3,X4,X1) ),
cls_empty__is__image_0,
[final] ).
cnf(i_0_1033,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Set_Oimage(X1,X2,X3,X4) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)) ),
cls_image__is__empty_0,
[final] ).
cnf(i_0_1034,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_1035,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) = X2
| c_in(X1,X2,X3) ),
cls_Diff__insert__absorb_0,
[final] ).
cnf(i_0_1036,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3)
| c_in(X1,X4,X3) ),
cls_insert__Diff__if_1,
[final] ).
cnf(i_0_1037,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_1038,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_1039,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_1040,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_0,
[final] ).
cnf(i_0_1041,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
cls_Int__subset__iff_1,
[final] ).
cnf(i_0_1042,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_1043,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib2_0,
[final] ).
cnf(i_0_1044,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib2_0,
[final] ).
cnf(i_0_1045,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1),X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_inf__sup__distrib1_0,
[final] ).
cnf(i_0_1046,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),c_Lattices_Oupper__semilattice__class_Osup(X2,X4,X1),X1)
| ~ class_Lattices_Odistrib__lattice(X1) ),
cls_sup__inf__distrib1_0,
[final] ).
cnf(i_0_1047,axiom,
( c_Set_Ovimage(c_COMBK(X1,X2,X3),X4,X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_in(X1,X4,X2) ),
cls_vimage__const_1,
[final] ).
cnf(i_0_1048,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_1049,axiom,
c_Set_Oimage(c_COMBK(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_image__constant__conv_0,
[final] ).
cnf(i_0_1050,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_1051,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_inf1I_0,
[final] ).
cnf(i_0_1052,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_1053,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_1054,axiom,
( X1 = X2
| ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3) ),
cls_singletonE_0,
[final] ).
cnf(i_0_1055,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_1056,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_1057,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_1058,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_1059,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_DiffE_1,
[final] ).
cnf(i_0_1060,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_1061,axiom,
c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oinsert(c_Message_Omsg_OHash(X3),X4,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(X3),c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X4,tc_Message_Omsg),tc_Message_Omsg),
cls_pushes_I11_J_0,
[final] ).
cnf(i_0_1062,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_1063,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_1064,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_1065,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_1066,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_1067,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_1068,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_1069,axiom,
c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),c_Set_Oinsert(c_Message_Omsg_OHash(X2),X3,tc_Message_Omsg),tc_Message_Omsg) = c_Set_Oinsert(c_Message_Omsg_OHash(X2),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg),tc_Message_Omsg),
cls_pushes_I4_J_0,
[final] ).
cnf(i_0_1070,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_1071,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_1072,plain,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2),X3,tc_Message_Omsg)) = c_Message_OkeysFor(X3),
inference(rw,[status(thm)],[i_0_756,c_0_751]),
[final] ).
cnf(i_0_1073,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_1074,axiom,
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
cls_Hash__synth__analz_0,
[final] ).
cnf(i_0_1075,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_1076,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_1077,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_1078,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_1079,axiom,
( c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),c_Message_Oanalz(X3),tc_Message_Omsg) ),
cls_Hash__synth__analz_1,
[final] ).
cnf(i_0_1080,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
cls_Un__Diff__Int_0,
[final] ).
cnf(i_0_1081,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_1082,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_1083,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool)),X3) ),
cls_DiffE_0,
[final] ).
cnf(i_0_1084,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool)),X3) ),
cls_IntE_0,
[final] ).
cnf(i_0_1085,axiom,
( c_in(X1,X2,X3)
| ~ c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),X3) ),
cls_IntE_1,
[final] ).
cnf(i_0_1086,axiom,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_IntI_0,
[final] ).
cnf(i_0_1087,axiom,
( c_in(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_Int__iff_2,
[final] ).
cnf(i_0_1088,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_1089,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_1090,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_1091,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_1092,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_1093,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_1094,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_1095,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Diff__partition_0,
[final] ).
cnf(i_0_1096,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_DiffI_0,
[final] ).
cnf(i_0_1097,axiom,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
cls_Diff__iff_2,
[final] ).
cnf(i_0_1098,axiom,
( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X2,X4,tc_fun(X3,tc_bool))
| ~ c_in(X1,X4,X3) ),
cls_insert__Diff1_0,
[final] ).
cnf(i_0_1099,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_1100,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_1101,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_1102,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_1103,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_1104,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_1105,axiom,
c_Set_Oinsert(X1,X2,X3) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X2,tc_fun(X3,tc_bool)),
cls_insert__is__Un_0,
[final] ).
cnf(i_0_1106,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_1107,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_1108,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_1109,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_1110,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__infI_0,
[final] ).
cnf(i_0_1111,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__inf__iff_2,
[final] ).
cnf(i_0_1112,axiom,
( c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_inf__greatest_0,
[final] ).
cnf(i_0_1113,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_1114,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_1115,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,X4,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_disjoint__iff__not__equal_0,
[final] ).
cnf(i_0_1116,axiom,
( X1 = X3
| c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) != c_Set_Oinsert(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2) ),
cls_singleton__inject_0,
[final] ).
cnf(i_0_1117,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_1118,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I2_J_0,
[final] ).
cnf(i_0_1119,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__assoc_0,
[final] ).
cnf(i_0_1120,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_1121,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_1122,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I3_J_0,
[final] ).
cnf(i_0_1123,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X1),X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__commute_0,
[final] ).
cnf(i_0_1124,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_1125,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_1126,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_1127,axiom,
c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),
cls_vimage__UNIV_0,
[final] ).
cnf(i_0_1128,axiom,
c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_vimage__empty_0,
[final] ).
cnf(i_0_1129,axiom,
c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_image__empty_0,
[final] ).
cnf(i_0_1130,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X1),
cls_empty__is__image_1,
[final] ).
cnf(i_0_1131,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_1132,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_1133,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_1134,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_1135,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_1136,axiom,
( c_lessequals(X3,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X5,X4,X1) ),
cls_le__eqI_1,
[final] ).
cnf(i_0_1137,axiom,
( c_lessequals(X5,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_le__eqI_0,
[final] ).
cnf(i_0_1138,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_1139,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(X1,X2,X3),X4,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X4,tc_fun(X3,tc_bool))
| c_in(X1,X4,X3) ),
cls_Int__insert__left_1,
[final] ).
cnf(i_0_1140,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X3,tc_fun(X4,tc_bool))
| c_in(X2,X1,X4) ),
cls_Int__insert__right_1,
[final] ).
cnf(i_0_1141,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_1142,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_1143,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_1144,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_1145,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
cls_le__inf__iff_0,
[final] ).
cnf(i_0_1146,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1),X1) ),
cls_le__infE_0,
[final] ).
cnf(i_0_1147,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
cls_le__inf__iff_1,
[final] ).
cnf(i_0_1148,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,c_Lattices_Olower__semilattice__class_Oinf(X4,X3,X1),X1) ),
cls_le__infE_1,
[final] ).
cnf(i_0_1149,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_1150,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_1151,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_1152,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),
cls_Diff__idemp_0,
[final] ).
cnf(i_0_1153,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),
cls_Un__Diff__cancel2_0,
[final] ).
cnf(i_0_1154,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),
cls_Int__left__absorb_0,
[final] ).
cnf(i_0_1155,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(X2,X1,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__Diff__cancel_0,
[final] ).
cnf(i_0_1156,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_1157,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_1158,axiom,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
cls_inj__on__empty_0,
[final] ).
cnf(i_0_1159,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_1160,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_1161,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_1162,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_1163,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_1164,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_1165,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_1166,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_1167,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_1168,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_1169,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_1170,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_1171,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_1172,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_1173,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_757,c_0_758]),
[final] ).
cnf(i_0_1174,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_1175,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_1176,axiom,
c_in(X1,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),X2),
cls_singleton__iff_1,
[final] ).
cnf(i_0_1177,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_1178,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_1179,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_1180,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_1181,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_Diff__disjoint_0,
[final] ).
cnf(i_0_1182,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X4,X1) ),
cls_le__infI1_0,
[final] ).
cnf(i_0_1183,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X4,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X4,X1) ),
cls_le__infI2_0,
[final] ).
cnf(i_0_1184,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_1185,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_1186,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_759,c_0_758]),
[final] ).
cnf(i_0_1187,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_1188,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insertCI_0,
[final] ).
cnf(i_0_1189,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_1190,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_1191,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_1192,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_1193,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_1194,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Diff__triv_0,
[final] ).
cnf(i_0_1195,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_1196,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_1197,axiom,
~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
cls_parts__emptyE_0,
[final] ).
cnf(i_0_1198,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_1199,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_1200,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_760,c_0_758]),
[final] ).
cnf(i_0_1201,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_1202,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_1203,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_1204,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
cls_subset__empty_0,
[final] ).
cnf(i_0_1205,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Diff__subset_0,
[final] ).
cnf(i_0_1206,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
cls_Int__lower1_0,
[final] ).
cnf(i_0_1207,axiom,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
cls_Int__lower2_0,
[final] ).
cnf(i_0_1208,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_1209,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_1210,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_1211,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_1212,plain,
( X1 = X3
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_761,c_0_751]),c_0_751]),
[final] ).
cnf(i_0_1213,plain,
( X2 = X4
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_762,c_0_751]),c_0_751]),
[final] ).
cnf(i_0_1214,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_1215,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_1216,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_1217,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_OinvKey(X1),c_Message_OkeysFor(X3),tc_nat),
cls_keysFor__insert__Crypt_0,
[final] ).
cnf(i_0_1218,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_1219,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I4_J_0,
[final] ).
cnf(i_0_1220,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__left__idem_0,
[final] ).
cnf(i_0_1221,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_1222,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_1223,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_Hash__synth_0,
[final] ).
cnf(i_0_1224,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_1225,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_1226,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_1227,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_1228,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_1229,axiom,
( ~ hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
cls_bex__empty_0,
[final] ).
cnf(i_0_1230,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_1231,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_1232,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_1233,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_1234,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_1235,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Un__empty_2,
[final] ).
cnf(i_0_1236,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_1237,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_1238,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_1239,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_1240,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_1241,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_1242,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_1243,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_763,c_0_758]),
[final] ).
cnf(i_0_1244,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_1245,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_1246,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_1247,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X1
| ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
cls_Int__absorb2_0,
[final] ).
cnf(i_0_1248,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = X2
| ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool)) ),
cls_Int__absorb1_0,
[final] ).
cnf(i_0_1249,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_1250,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_1251,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_1252,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_1253,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3) ),
cls_ball__empty_0,
[final] ).
cnf(i_0_1254,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_1255,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_1256,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_1257,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_1258,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_1259,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_1260,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_1261,axiom,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_0,
[final] ).
cnf(i_0_1262,axiom,
( X2 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_Un__empty_1,
[final] ).
cnf(i_0_1263,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_1264,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
cls_conjecture_4,
[final] ).
cnf(i_0_1265,axiom,
c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Message_Oparts(X2),tc_Message_Omsg),
cls_parts__insert__Hash_0,
[final] ).
cnf(i_0_1266,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_1267,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_1268,axiom,
c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OHash(X1),c_Message_Oanalz(X2),tc_Message_Omsg),
cls_analz__insert__Hash_0,
[final] ).
cnf(i_0_1269,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_1270,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_1271,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_764,c_0_758]),
[final] ).
cnf(i_0_1272,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_1273,axiom,
( c_in(X1,X2,X3)
| c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
cls_comm__monoid__add_Ononempty__iff_2,
[final] ).
cnf(i_0_1274,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_1275,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_1276,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_1277,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
cls_subset__empty_1,
[final] ).
cnf(i_0_1278,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X4,X1) ),
cls_eq__eqI_1,
[final] ).
cnf(i_0_1279,axiom,
( X3 = X4
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X2,X1) != c_HOL_Ominus__class_Ominus(X3,X4,X1) ),
cls_eq__eqI_0,
[final] ).
cnf(i_0_1280,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_1281,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_1282,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_1283,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_1284,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_1285,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_1286,axiom,
( c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X1,X2),X1,tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oparts(X1),tc_Message_Omsg) ),
cls_parts__singleton_0,
[final] ).
cnf(i_0_1287,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_1288,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_1289,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_1290,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__absorb_0,
[final] ).
cnf(i_0_1291,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X1) = X2
| ~ class_Lattices_Olattice(X1) ),
cls_sup__inf__absorb_0,
[final] ).
cnf(i_0_1292,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I1_J_0,
[final] ).
cnf(i_0_1293,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le1_0,
[final] ).
cnf(i_0_1294,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__ord_I2_J_0,
[final] ).
cnf(i_0_1295,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1),X3,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__le2_0,
[final] ).
cnf(i_0_1296,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_1297,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_1298,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_1299,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_1300,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_emptyE_0,
[final] ).
cnf(i_0_1301,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_empty__iff_0,
[final] ).
cnf(i_0_1302,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_1303,plain,
( X1 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4))
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) != c_Message_Omsg_OMPair(X1,X2) ),
inference(rw,[status(thm)],[i_0_765,c_0_751]),
[final] ).
cnf(i_0_1304,plain,
( X3 = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2))
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(X3,X4) ),
inference(rw,[status(thm)],[i_0_766,c_0_751]),
[final] ).
cnf(i_0_1305,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_1306,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_1307,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_1308,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertCI_1,
[final] ).
cnf(i_0_1309,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertI1_0,
[final] ).
cnf(i_0_1310,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1,
[final] ).
cnf(i_0_1311,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_1312,axiom,
( c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
cls_synth_OHash_0,
[final] ).
cnf(i_0_1313,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_1314,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_1315,axiom,
c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_empty__Diff_0,
[final] ).
cnf(i_0_1316,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_Int__empty__left_0,
[final] ).
cnf(i_0_1317,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_1318,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__UNIV_0,
[final] ).
cnf(i_0_1319,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Int__empty__right_0,
[final] ).
cnf(i_0_1320,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_1321,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,tc_fun(X3,tc_bool)),
cls_Int__commute_0,
[final] ).
cnf(i_0_1322,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_1323,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_767,c_0_758]),
[final] ).
cnf(i_0_1324,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_1325,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_1326,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_1327,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Lattices_Olower__semilattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != X2 ),
cls_le__iff__inf_1,
[final] ).
cnf(i_0_1328,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_1329,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_le__iff__inf_0,
[final] ).
cnf(i_0_1330,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = X3
| ~ class_Lattices_Olower__semilattice(X1)
| ~ c_lessequals(X3,X2,X1) ),
cls_inf__absorb2_0,
[final] ).
cnf(i_0_1331,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_1332,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_1333,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_1334,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_1335,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_1336,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_1337,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_1338,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_1339,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_1340,axiom,
~ c_in(hAPP(c_Public_OpublicKey(X1),X2),c_Message_OsymKeys,tc_nat),
cls_not__symKeys__pubK_0,
[final] ).
cnf(i_0_1341,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_1342,plain,
( X2 = X4
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),X2) != c_Message_Omsg_OMPair(X3,X4) ),
inference(rw,[status(thm)],[i_0_768,c_0_751]),
[final] ).
cnf(i_0_1343,plain,
( X2 = X4
| c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) != c_Message_Omsg_OMPair(X1,X2) ),
inference(rw,[status(thm)],[i_0_769,c_0_751]),
[final] ).
cnf(i_0_1344,plain,
c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X3,X4)),X4) != c_Message_Omsg_OCrypt(X1,X2),
inference(rw,[status(thm)],[i_0_770,c_0_751]),
[final] ).
cnf(i_0_1345,axiom,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
cls_top1I_0,
[final] ).
cnf(i_0_1346,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
inference(rw,[status(thm)],[i_0_771,c_0_751]),
[final] ).
cnf(i_0_1347,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_772,c_0_758]),
[final] ).
cnf(i_0_1348,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_1349,axiom,
c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Int__UNIV__left_0,
[final] ).
cnf(i_0_1350,axiom,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
cls_Un__empty__left_0,
[final] ).
cnf(i_0_1351,axiom,
c_HOL_Ominus__class_Ominus(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Diff__empty_0,
[final] ).
cnf(i_0_1352,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Int__UNIV__right_0,
[final] ).
cnf(i_0_1353,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) = X1,
cls_Un__empty__right_0,
[final] ).
cnf(i_0_1354,axiom,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
cls_empty__subsetI_0,
[final] ).
cnf(i_0_1355,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_1356,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
cls_empty__not__insert_0,
[final] ).
cnf(i_0_1357,axiom,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
cls_insert__not__empty_0,
[final] ).
cnf(i_0_1358,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_1359,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_1360,axiom,
c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)) = c_Message_OkeysFor(X2),
cls_keysFor__insert__Hash_0,
[final] ).
cnf(i_0_1361,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_1362,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_1363,axiom,
hAPP(c_COMBK(X1,X2,X3),X4) = X1,
cls_COMBK__def_0,
[final] ).
cnf(i_0_1364,plain,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
inference(rw,[status(thm)],[i_0_773,c_0_751]),
[final] ).
cnf(i_0_1365,plain,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
inference(rw,[status(thm)],[i_0_774,c_0_751]),
[final] ).
cnf(i_0_1366,plain,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X2,X3)),X3),
inference(rw,[status(thm)],[i_0_775,c_0_751]),
[final] ).
cnf(i_0_1367,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
cls_conjecture_2,
[final] ).
cnf(i_0_1368,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_1369,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(i_0_1370,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olattice(X1) ),
cls_inf__sup__aci_I1_J_0,
[final] ).
cnf(i_0_1371,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X1)
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__commute_0,
[final] ).
cnf(i_0_1372,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_1373,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_1374,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_1375,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
cls_event_Osimps_I6_J_0,
[final] ).
cnf(i_0_1376,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
cls_event_Osimps_I7_J_0,
[final] ).
cnf(i_0_1377,axiom,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2),
cls_UNIV__I_0,
[final] ).
cnf(i_0_1378,axiom,
( X2 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq1_0,
[final] ).
cnf(i_0_1379,axiom,
( X2 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq1_0,
[final] ).
cnf(i_0_1380,axiom,
( X3 = c_Orderings_Otop__class_Otop(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X1) != c_Orderings_Otop__class_Otop(X1) ),
cls_inf__eq__top__eq2_0,
[final] ).
cnf(i_0_1381,axiom,
( X3 = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X1) != c_Orderings_Obot__class_Obot(X1) ),
cls_sup__eq__bot__eq2_0,
[final] ).
cnf(i_0_1382,axiom,
c_HOL_Ominus__class_Ominus(X1,X1,tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Diff__cancel_0,
[final] ).
cnf(i_0_1383,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_1384,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_1385,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_1386,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_1387,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_1388,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_1389,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_list_Osimps_I3_J_0,
[final] ).
cnf(i_0_1390,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_neq__Nil__conv_1,
[final] ).
cnf(i_0_1391,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
cls_list_Osimps_I2_J_0,
[final] ).
cnf(i_0_1392,axiom,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_1393,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
cls_not__Cons__self2_0,
[final] ).
cnf(i_0_1394,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
cls_not__Cons__self_0,
[final] ).
cnf(i_0_1395,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_1396,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_invKey__K_0,
[final] ).
cnf(i_0_1397,axiom,
c_Message_OinvKey(hAPP(c_Public_OpublicKey(X1),X2)) != hAPP(c_Public_OshrK,X3),
cls_shrK__neq__priK_0,
[final] ).
cnf(i_0_1398,axiom,
hAPP(c_Public_OshrK,X1) != c_Message_OinvKey(hAPP(c_Public_OpublicKey(X2),X3)),
cls_priK__neq__shrK_0,
[final] ).
cnf(i_0_1399,axiom,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_UNIV__not__empty_0,
[final] ).
cnf(i_0_1400,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0,
[final] ).
cnf(i_0_1401,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_synth__increasing_0,
[final] ).
cnf(i_0_1402,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0,
[final] ).
cnf(i_0_1403,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
cls_Server__not__bad_0,
[final] ).
cnf(i_0_1404,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Int__absorb_0,
[final] ).
cnf(i_0_1405,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1406,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1407,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1408,axiom,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OsymKeys,tc_nat),
cls_sym__shrK_0,
[final] ).
cnf(i_0_1409,axiom,
c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__empty_0,
[final] ).
cnf(i_0_1410,axiom,
c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__empty_0,
[final] ).
cnf(i_0_1411,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__left_0,
[final] ).
cnf(i_0_1412,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_1413,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Obot__class_Obot(X1),X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__bot__right_0,
[final] ).
cnf(i_0_1414,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_1415,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_List_Oset(X2,X1) ),
cls_set__empty2_0,
[final] ).
cnf(i_0_1416,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Oset(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
cls_set__empty_0,
[final] ).
cnf(i_0_1417,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__left_0,
[final] ).
cnf(i_0_1418,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(X1),X2,X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__left_0,
[final] ).
cnf(i_0_1419,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,c_Orderings_Otop__class_Otop(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_inf__top__right_0,
[final] ).
cnf(i_0_1420,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Obot__class_Obot(X1),X1) = X2
| ~ class_Lattices_Obounded__lattice(X1) ),
cls_sup__bot__right_0,
[final] ).
cnf(i_0_1421,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_1422,axiom,
( c_lessequals(X2,c_Orderings_Otop__class_Otop(X1),X1)
| ~ class_Orderings_Otop(X1) ),
cls_top__greatest_0,
[final] ).
cnf(i_0_1423,axiom,
( X1 = X3
| hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4) ),
cls_publicKey__inject_0,
[final] ).
cnf(i_0_1424,axiom,
( X2 = X4
| hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4) ),
cls_publicKey__inject_1,
[final] ).
cnf(i_0_1425,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_synth_OAgent_0,
[final] ).
cnf(i_0_1426,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_Agent__synth_0,
[final] ).
cnf(i_0_1427,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X2,X1) = X2
| ~ class_Lattices_Olower__semilattice(X1) ),
cls_inf__idem_0,
[final] ).
cnf(i_0_1428,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1429,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1430,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1431,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_1432,negated_conjecture,
c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_0,
[final] ).
cnf(i_0_1433,axiom,
c_fequal(X1,X1,X2),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_1434,axiom,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
cls_shrK__neq__pubK_0,
[final] ).
cnf(i_0_1435,axiom,
hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OpublicKey(X2),X3),
cls_pubK__neq__shrK_0,
[final] ).
cnf(i_0_1436,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
cls_Spy__in__bad_0,
[final] ).
cnf(i_0_1437,axiom,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X1),X1),
cls_set__empty2_1,
[final] ).
cnf(i_0_1438,axiom,
c_List_Oset(c_List_Olist_ONil(X1),X1) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),
cls_set__empty_1,
[final] ).
cnf(i_0_1439,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_1440,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_1441,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_1442,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_1443,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_1444,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_1445,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
cls_msg_Osimps_I49_J_0,
[final] ).
cnf(i_0_1446,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
cls_msg_Osimps_I48_J_0,
[final] ).
cnf(i_0_1447,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I42_J_0,
[final] ).
cnf(i_0_1448,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I40_J_0,
[final] ).
cnf(i_0_1449,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I43_J_0,
[final] ).
cnf(i_0_1450,axiom,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I41_J_0,
[final] ).
cnf(i_0_1451,axiom,
( X1 = X2
| hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2) ),
cls_shrK__injective_0,
[final] ).
cnf(i_0_1452,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_1453,axiom,
c_Message_OinvKey(hAPP(c_Public_OshrK,X1)) = hAPP(c_Public_OshrK,X1),
cls_invKey__shrK_0,
[final] ).
cnf(i_0_1454,axiom,
( class_Orderings_Otop(tc_fun(X1,X2))
| ~ class_Orderings_Otop(X2) ),
clsarity_fun__Orderings_Otop,
[final] ).
cnf(i_0_1455,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_1456,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1457,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1458,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1459,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1460,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1461,axiom,
( class_Lattices_Odistrib__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Odistrib__lattice(X2) ),
clsarity_fun__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1462,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1463,axiom,
( class_Lattices_Olower__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1464,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OHash(X3),
cls_msg_Osimps_I47_J_0,
[final] ).
cnf(i_0_1465,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
cls_msg_Osimps_I37_J_0,
[final] ).
cnf(i_0_1466,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
cls_msg_Osimps_I19_J_0,
[final] ).
cnf(i_0_1467,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OHash(X3),
cls_msg_Osimps_I45_J_0,
[final] ).
cnf(i_0_1468,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
cls_msg_Osimps_I35_J_0,
[final] ).
cnf(i_0_1469,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
cls_msg_Osimps_I17_J_0,
[final] ).
cnf(i_0_1470,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I46_J_0,
[final] ).
cnf(i_0_1471,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I44_J_0,
[final] ).
cnf(i_0_1472,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I36_J_0,
[final] ).
cnf(i_0_1473,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I34_J_0,
[final] ).
cnf(i_0_1474,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I18_J_0,
[final] ).
cnf(i_0_1475,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I16_J_0,
[final] ).
cnf(i_0_1476,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OHash(X2),
cls_msg_Osimps_I38_J_0,
[final] ).
cnf(i_0_1477,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I31_J_0,
[final] ).
cnf(i_0_1478,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I13_J_0,
[final] ).
cnf(i_0_1479,axiom,
c_Message_Omsg_OHash(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I39_J_0,
[final] ).
cnf(i_0_1480,axiom,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I30_J_0,
[final] ).
cnf(i_0_1481,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I12_J_0,
[final] ).
cnf(i_0_1482,axiom,
( X1 = X2
| c_Message_Omsg_OHash(X1) != c_Message_Omsg_OHash(X2) ),
cls_msg_Osimps_I5_J_0,
[final] ).
cnf(i_0_1483,axiom,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
cls_invKey__eq_0,
[final] ).
cnf(i_0_1484,axiom,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
cls_msg_Osimps_I3_J_0,
[final] ).
cnf(i_0_1485,axiom,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
cls_msg_Osimps_I1_J_0,
[final] ).
cnf(i_0_1486,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0,
[final] ).
cnf(i_0_1487,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0,
[final] ).
cnf(i_0_1488,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
cls_synth__idem_0,
[final] ).
cnf(i_0_1489,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0,
[final] ).
cnf(i_0_1490,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0,
[final] ).
cnf(i_0_1491,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I33_J_0,
[final] ).
cnf(i_0_1492,axiom,
c_Message_Omsg_OHash(X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I15_J_0,
[final] ).
cnf(i_0_1493,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OHash(X2),
cls_msg_Osimps_I32_J_0,
[final] ).
cnf(i_0_1494,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OHash(X2),
cls_msg_Osimps_I14_J_0,
[final] ).
cnf(i_0_1495,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I11_J_0,
[final] ).
cnf(i_0_1496,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I10_J_0,
[final] ).
cnf(i_0_1497,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
cls_invKey_0,
[final] ).
cnf(i_0_1498,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
cls_ns__sharedp_ONil_0,
[final] ).
cnf(i_0_1499,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1500,axiom,
class_Orderings_Otop(tc_bool),
clsarity_bool__Orderings_Otop,
[final] ).
cnf(i_0_1501,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_1502,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_1503,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1504,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1505,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1506,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1507,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1508,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1509,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1510,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1511,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1512,axiom,
class_Lattices_Odistrib__lattice(tc_nat),
clsarity_nat__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1513,axiom,
class_Lattices_Odistrib__lattice(tc_bool),
clsarity_bool__Lattices_Odistrib__lattice,
[final] ).
cnf(i_0_1514,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1515,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1516,axiom,
class_Lattices_Olower__semilattice(tc_nat),
clsarity_nat__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1517,axiom,
class_Lattices_Olower__semilattice(tc_bool),
clsarity_bool__Lattices_Olower__semilattice,
[final] ).
cnf(i_0_1518,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
cls_agent_Osimps_I5_J_0,
[final] ).
cnf(i_0_1519,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0,
[final] ).
cnf(i_0_1520,axiom,
X1 = X1 ).
cnf(i_0_1521,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1522,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1523,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1524,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1525,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1526,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_1527,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_1528,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1529,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1530,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1531,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1532,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1533,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1534,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).
cnf(i_0_1535,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).
cnf(i_0_1536,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1537,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1538,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1539,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1540,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1541,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1542,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1543,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1544,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1545,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1546,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_1547,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_1548,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_1549,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1550,axiom,
( X1 != X2
| c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).
cnf(i_0_1551,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_1552,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_1553,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1554,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1555,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1556,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1557,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1558,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1559,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X1,X3,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1560,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X1,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1561,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X1,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1562,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X1,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1563,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1564,axiom,
( X1 != X2
| c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).
cnf(i_0_1565,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X3,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X3,X4,X5) ) ).
cnf(i_0_1566,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X1,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X2,X4,X5) ) ).
cnf(i_0_1567,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X1,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X2,X5) ) ).
cnf(i_0_1568,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X2) ) ).
cnf(i_0_1569,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).
cnf(i_0_1570,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).
cnf(i_0_1571,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1572,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1573,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1574,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1575,axiom,
( X1 != X2
| c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).
cnf(i_0_1576,axiom,
( X1 != X2
| c_Message_OkeysFor(X1) = c_Message_OkeysFor(X2) ) ).
cnf(i_0_1577,axiom,
( X1 != X2
| c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).
cnf(i_0_1578,axiom,
( X1 != X2
| c_Message_Omsg_OHash(X1) = c_Message_Omsg_OHash(X2) ) ).
cnf(i_0_1579,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1580,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1581,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1582,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).
cnf(i_0_1583,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).
cnf(i_0_1584,axiom,
( X1 != X2
| c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).
cnf(i_0_1585,axiom,
( X1 != X2
| c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).
cnf(i_0_1586,axiom,
( X1 != X2
| c_Event_Oused(X1) = c_Event_Oused(X2) ) ).
cnf(i_0_1587,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1588,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1589,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1590,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1591,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1592,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1593,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1594,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1595,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1596,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1597,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1598,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1599,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1600,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1601,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1602,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1603,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1604,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1605,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1606,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1607,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1608,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1609,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1610,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1611,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1612,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1613,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1614,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1520_001,axiom,
X1 = X1 ).
cnf(i_0_1521_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1522_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1523_004,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1524_005,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1525_006,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1526_007,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_1527_008,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_1528_009,axiom,
( X1 != X2
| c_Orderings_Otop__class_Otop(X1) = c_Orderings_Otop__class_Otop(X2) ) ).
cnf(i_0_1529_010,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X1,X3,X4,X5,X6) = c_Fun_Ofun__upd(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1530_011,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X1,X4,X5,X6) = c_Fun_Ofun__upd(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1531_012,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X1,X5,X6) = c_Fun_Ofun__upd(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1532_013,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X1,X6) = c_Fun_Ofun__upd(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1533_014,axiom,
( X1 != X2
| c_Fun_Ofun__upd(X3,X4,X5,X6,X1) = c_Fun_Ofun__upd(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1534_015,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).
cnf(i_0_1535_016,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).
cnf(i_0_1536_017,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1537_018,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1538_019,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1539_020,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1540_021,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1541_022,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1542_023,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1543_024,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X1,X3,X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ) ).
cnf(i_0_1544_025,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X1,X4) = c_HOL_Ominus__class_Ominus(X3,X2,X4) ) ).
cnf(i_0_1545_026,axiom,
( X1 != X2
| c_HOL_Ominus__class_Ominus(X3,X4,X1) = c_HOL_Ominus__class_Ominus(X3,X4,X2) ) ).
cnf(i_0_1546_027,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_1547_028,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_1548_029,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_1549_030,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1550_031,axiom,
( X1 != X2
| c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).
cnf(i_0_1551_032,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_1552_033,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_1553_034,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1554_035,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1555_036,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1556_037,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4) ) ).
cnf(i_0_1557_038,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X1,X4) = c_Lattices_Olower__semilattice__class_Oinf(X3,X2,X4) ) ).
cnf(i_0_1558_039,axiom,
( X1 != X2
| c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X1) = c_Lattices_Olower__semilattice__class_Oinf(X3,X4,X2) ) ).
cnf(i_0_1559_040,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X1,X3,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X2,X3,X4,X5,X6) ) ).
cnf(i_0_1560_041,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X1,X4,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X2,X4,X5,X6) ) ).
cnf(i_0_1561_042,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X1,X5,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X2,X5,X6) ) ).
cnf(i_0_1562_043,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X1,X6) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X2,X6) ) ).
cnf(i_0_1563_044,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(X3,X4,X5,X6,X2) ) ).
cnf(i_0_1564_045,axiom,
( X1 != X2
| c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).
cnf(i_0_1565_046,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X1,X3,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X2,X3,X4,X5) ) ).
cnf(i_0_1566_047,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X1,X4,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X2,X4,X5) ) ).
cnf(i_0_1567_048,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X1,X5) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X2,X5) ) ).
cnf(i_0_1568_049,axiom,
( X1 != X2
| c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X1) = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(X3,X4,X5,X2) ) ).
cnf(i_0_1569_050,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).
cnf(i_0_1570_051,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).
cnf(i_0_1571_052,axiom,
( X1 != X2
| c_Set_Ovimage(X1,X3,X4,X5) = c_Set_Ovimage(X2,X3,X4,X5) ) ).
cnf(i_0_1572_053,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X1,X4,X5) = c_Set_Ovimage(X3,X2,X4,X5) ) ).
cnf(i_0_1573_054,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X1,X5) = c_Set_Ovimage(X3,X4,X2,X5) ) ).
cnf(i_0_1574_055,axiom,
( X1 != X2
| c_Set_Ovimage(X3,X4,X5,X1) = c_Set_Ovimage(X3,X4,X5,X2) ) ).
cnf(i_0_1575_056,axiom,
( X1 != X2
| c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).
cnf(i_0_1576_057,axiom,
( X1 != X2
| c_Message_OkeysFor(X1) = c_Message_OkeysFor(X2) ) ).
cnf(i_0_1577_058,axiom,
( X1 != X2
| c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).
cnf(i_0_1578_059,axiom,
( X1 != X2
| c_Message_Omsg_OHash(X1) = c_Message_Omsg_OHash(X2) ) ).
cnf(i_0_1579_060,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1580_061,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1581_062,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1582_063,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).
cnf(i_0_1583_064,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).
cnf(i_0_1584_065,axiom,
( X1 != X2
| c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).
cnf(i_0_1585_066,axiom,
( X1 != X2
| c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).
cnf(i_0_1586_067,axiom,
( X1 != X2
| c_Event_Oused(X1) = c_Event_Oused(X2) ) ).
cnf(i_0_1587_068,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1588_069,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1589_070,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1590_071,axiom,
( X1 != X2
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| class_OrderedGroup_Opordered__ab__group__add(X2) ) ).
cnf(i_0_1591_072,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1592_073,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1593_074,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1594_075,axiom,
( X1 != X2
| ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(X2) ) ).
cnf(i_0_1595_076,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1596_077,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1597_078,axiom,
( X1 != X2
| ~ c_fequal(X1,X3,X4)
| c_fequal(X2,X3,X4) ) ).
cnf(i_0_1598_079,axiom,
( X1 != X2
| ~ c_fequal(X3,X1,X4)
| c_fequal(X3,X2,X4) ) ).
cnf(i_0_1599_080,axiom,
( X1 != X2
| ~ c_fequal(X3,X4,X1)
| c_fequal(X3,X4,X2) ) ).
cnf(i_0_1600_081,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1601_082,axiom,
( X1 != X2
| ~ class_Orderings_Otop(X1)
| class_Orderings_Otop(X2) ) ).
cnf(i_0_1602_083,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1603_084,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1604_085,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X1,X3,X4,X5)
| c_Fun_Oinj__on(X2,X3,X4,X5) ) ).
cnf(i_0_1605_086,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| c_Fun_Oinj__on(X3,X2,X4,X5) ) ).
cnf(i_0_1606_087,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X1,X5)
| c_Fun_Oinj__on(X3,X4,X2,X5) ) ).
cnf(i_0_1607_088,axiom,
( X1 != X2
| ~ c_Fun_Oinj__on(X3,X4,X5,X1)
| c_Fun_Oinj__on(X3,X4,X5,X2) ) ).
cnf(i_0_1608_089,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1609_090,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1610_091,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1611_092,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1612_093,axiom,
( X1 != X2
| ~ class_Lattices_Odistrib__lattice(X1)
| class_Lattices_Odistrib__lattice(X2) ) ).
cnf(i_0_1613_094,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1614_095,axiom,
( X1 != X2
| ~ class_Lattices_Olower__semilattice(X1)
| class_Lattices_Olower__semilattice(X2) ) ).
cnf(i_0_1615,plain,
( X1 = X1
| ~ c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)
| ~ c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5) ),
inference(equality_inference,[],[797]) ).
cnf(i_0_1616,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,[],[861]) ).
cnf(i_0_1617,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[865]) ).
cnf(i_0_1618,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[921]) ).
cnf(i_0_1619,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[922]) ).
cnf(i_0_1620,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[923]) ).
cnf(i_0_1621,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[924]) ).
cnf(i_0_1622,plain,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,X2,X3)
| X1 = X1
| ~ c_Fun_Oinj__on(X4,X2,X3,X5) ),
inference(equality_inference,[],[975]) ).
cnf(i_0_1623,plain,
( X1 = X1
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(equality_inference,[],[1001]) ).
cnf(i_0_1624,plain,
X1 = X1,
inference(equality_inference,[],[1116]) ).
cnf(i_0_1625,plain,
( X1 = X1
| c_in(X2,X1,X3)
| c_in(X2,X1,X3) ),
inference(equality_inference,[],[1166]) ).
cnf(i_0_1626,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,[],[1210]) ).
cnf(i_0_1627,plain,
X1 = X1,
inference(equality_inference,[],[1212]) ).
cnf(i_0_1628,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1278]) ).
cnf(i_0_1629,plain,
( X1 = X1
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(equality_inference,[],[1279]) ).
cnf(i_0_1630,plain,
X1 = X1,
inference(equality_inference,[],[1281]) ).
cnf(i_0_1631,plain,
X1 = X1,
inference(equality_inference,[],[1282]) ).
cnf(i_0_1632,plain,
X1 = X1,
inference(equality_inference,[],[1283]) ).
cnf(i_0_1633,plain,
X1 = X1,
inference(equality_inference,[],[1284]) ).
cnf(i_0_1634,plain,
X1 = X1,
inference(equality_inference,[],[1285]) ).
cnf(i_0_1635,plain,
c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)) = c_Message_Omsg_OHash(c_Message_Omsg_OMPair(X1,X2)),
inference(equality_inference,[],[1304]) ).
cnf(i_0_1636,plain,
X1 = X1,
inference(equality_inference,[],[1343]) ).
cnf(i_0_1637,plain,
X1 = X1,
inference(equality_inference,[],[1423]) ).
cnf(i_0_1638,plain,
X1 = X1,
inference(equality_inference,[],[1424]) ).
cnf(i_0_1639,plain,
X1 = X1,
inference(equality_inference,[],[1439]) ).
cnf(i_0_1640,plain,
X1 = X1,
inference(equality_inference,[],[1440]) ).
cnf(i_0_1641,plain,
X1 = X1,
inference(equality_inference,[],[1441]) ).
cnf(i_0_1642,plain,
X1 = X1,
inference(equality_inference,[],[1442]) ).
cnf(i_0_1643,plain,
X1 = X1,
inference(equality_inference,[],[1443]) ).
cnf(i_0_1644,plain,
X1 = X1,
inference(equality_inference,[],[1444]) ).
cnf(i_0_1645,plain,
X1 = X1,
inference(equality_inference,[],[1451]) ).
cnf(i_0_1646,plain,
X1 = X1,
inference(equality_inference,[],[1452]) ).
cnf(i_0_1647,plain,
X1 = X1,
inference(equality_inference,[],[1482]) ).
cnf(i_0_1648,plain,
X1 = X1,
inference(equality_inference,[],[1483]) ).
cnf(i_0_1649,plain,
X1 = X1,
inference(equality_inference,[],[1484]) ).
cnf(i_0_1650,plain,
X1 = X1,
inference(equality_inference,[],[1485]) ).
cnf(i_0_1651,plain,
c_in(v_K,c_Set_Ovimage(c_Message_Omsg_OKey,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X1,tc_Message_Omsg),X1),
inference(scs_inference,[],[i_0_1021,i_0_946]) ).
cnf(i_0_1652,plain,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(rename_variables,[],[i_0_946]) ).
cnf(i_0_1653,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,hAPP(c_Message_Omsg_OKey,v_K)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_1264,i_0_1021,i_0_946,i_0_1075]) ).
cnf(i_0_1654,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_1075]) ).
cnf(i_0_1655,plain,
c_in(X1,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101]) ).
cnf(i_0_1656,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1657,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_1101]) ).
cnf(i_0_1658,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Event_Oused(v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218]) ).
cnf(i_0_1659,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_1218]) ).
cnf(i_0_1660,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236]) ).
cnf(i_0_1661,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_1236]) ).
cnf(i_0_1662,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254]) ).
cnf(i_0_1663,plain,
( 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) ),
inference(rename_variables,[],[i_0_1254]) ).
cnf(i_0_1664,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255]) ).
cnf(i_0_1665,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_1255]) ).
cnf(i_0_1666,plain,
~ c_in(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256]) ).
cnf(i_0_1667,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_1256]) ).
cnf(i_0_1668,plain,
c_in(c_Message_Osko__Message__Xparts__singleton__1__1(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Omsg_OCrypt(v_KAB,v_X)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286]) ).
cnf(i_0_1669,plain,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1670,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_1264,i_0_1367,i_0_1021,i_0_1242,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326]) ).
cnf(i_0_1671,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_1326]) ).
cnf(i_0_1672,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1242,i_0_1400,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335]) ).
cnf(i_0_1673,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1335]) ).
cnf(i_0_1674,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1242,i_0_1400,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369]) ).
cnf(i_0_1675,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1676,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1242,i_0_1400,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383]) ).
cnf(i_0_1677,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1383]) ).
cnf(i_0_1678,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1302,i_0_1242,i_0_1400,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830]) ).
cnf(i_0_1679,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_1302]) ).
cnf(i_0_1680,plain,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
inference(rename_variables,[],[i_0_830]) ).
cnf(i_0_1681,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Set_Oimage(c_Message_Omsg_OKey,X3,X4,X5),X5),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1302,i_0_1242,i_0_1400,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832]) ).
cnf(i_0_1682,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(rename_variables,[],[i_0_1447]) ).
cnf(i_0_1683,plain,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_1684,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1302,i_0_1242,i_0_1400,i_0_1407,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845]) ).
cnf(i_0_1685,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1686,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1687,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_1264,i_0_1367,i_0_1021,i_0_1302,i_0_942,i_0_1242,i_0_1400,i_0_1407,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853]) ).
cnf(i_0_1688,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_853]) ).
cnf(i_0_1689,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1302,i_0_942,i_0_1242,i_0_1400,i_0_1407,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875]) ).
cnf(i_0_1690,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1691,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_875]) ).
cnf(i_0_1692,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1242,i_0_1400,i_0_1407,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977]) ).
cnf(i_0_1693,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1694,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_977]) ).
cnf(i_0_1695,plain,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1181,i_0_1242,i_0_1400,i_0_1407,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194]) ).
cnf(i_0_1696,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)) = X1 ),
inference(rename_variables,[],[i_0_1194]) ).
cnf(i_0_1697,plain,
~ c_lessequals(c_List_Olist_OCons(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1181,i_0_1242,i_0_1400,i_0_1407,i_0_1393,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204]) ).
cnf(i_0_1698,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1393]) ).
cnf(i_0_1699,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1204]) ).
cnf(i_0_1700,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X2),X3),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1393,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259]) ).
cnf(i_0_1701,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_1259]) ).
cnf(i_0_1702,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X3)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1393,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260]) ).
cnf(i_0_1703,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_1260]) ).
cnf(i_0_1704,plain,
~ c_fequal(c_List_Olist_OCons(X1,X2,X3),c_List_Olist_ONil(X3),X4),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392]) ).
cnf(i_0_1705,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1392]) ).
cnf(i_0_1706,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424]) ).
cnf(i_0_1707,plain,
( hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OpublicKey(X3),X4)
| X2 = X4 ),
inference(rename_variables,[],[i_0_1424]) ).
cnf(i_0_1708,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(X1)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521]) ).
cnf(i_0_1709,plain,
c_Public_OpublicKey(X1) != c_Public_OshrK,
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579]) ).
cnf(i_0_1710,plain,
hAPP(c_Public_OpublicKey(X1),X2) != hAPP(c_Public_OshrK,X3),
inference(rename_variables,[],[i_0_1434]) ).
cnf(i_0_1711,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841]) ).
cnf(i_0_1712,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1234]) ).
cnf(i_0_1713,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1714,plain,
c_lessequals(c_Set_Ovimage(X1,c_Message_Oanalz(X2),X3,tc_Message_Omsg),c_Set_Ovimage(X1,c_Message_Oparts(X2),X3,tc_Message_Omsg),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872]) ).
cnf(i_0_1715,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1716,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874]) ).
cnf(i_0_1717,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_874]) ).
cnf(i_0_1718,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876]) ).
cnf(i_0_1719,plain,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
inference(rename_variables,[],[i_0_1193]) ).
cnf(i_0_1720,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_1721,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038]) ).
cnf(i_0_1722,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1723,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_1038]) ).
cnf(i_0_1724,plain,
c_lessequals(X1,c_Message_Oparts(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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039]) ).
cnf(i_0_1725,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1726,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_1039]) ).
cnf(i_0_1727,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040]) ).
cnf(i_0_1728,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_1729,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1730,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041]) ).
cnf(i_0_1731,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_1732,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_1733,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_List_Olist_OCons(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4),X3),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088]) ).
cnf(i_0_1734,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1088]) ).
cnf(i_0_1735,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239]) ).
cnf(i_0_1736,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_1239]) ).
cnf(i_0_1737,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240]) ).
cnf(i_0_1738,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_1240]) ).
cnf(i_0_1739,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_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241]) ).
cnf(i_0_1740,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_1241]) ).
cnf(i_0_1741,plain,
c_lessequals(X1,X1,tc_nat),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429]) ).
cnf(i_0_1742,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1429]) ).
cnf(i_0_1743,plain,
c_lessequals(X1,X1,tc_bool),
inference(scs_inference,[],[i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430]) ).
cnf(i_0_1744,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1430]) ).
cnf(i_0_1745,plain,
~ c_in(v_Kab,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Message_OinvKey(c_Message_OinvKey(tc_nat))),
inference(scs_inference,[],[i_0_894,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589]) ).
cnf(i_0_1746,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1747,plain,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864]) ).
cnf(i_0_1748,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1749,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_864]) ).
cnf(i_0_1750,plain,
c_in(c_Message_Omsg_OAgent(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),
inference(scs_inference,[],[i_0_894,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886]) ).
cnf(i_0_1751,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1752,plain,
( ~ c_in(X1,c_Message_Oparts(c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_886]) ).
cnf(i_0_1753,plain,
c_in(hAPP(X1,v_evs),c_Message_Oparts(c_Set_Oimage(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent),tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887]) ).
cnf(i_0_1754,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1755,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_887]) ).
cnf(i_0_1756,plain,
c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,c_Message_Omsg_OAgent(X2)),v_evs,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939]) ).
cnf(i_0_1757,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1758,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_939]) ).
cnf(i_0_1759,plain,
~ c_in(v_evs,c_HOL_Ominus__class_Ominus(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_fun(tc_List_Olist(tc_Event_Oevent),tc_bool)),tc_List_Olist(tc_Event_Oevent)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115]) ).
cnf(i_0_1760,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_1761,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1115]) ).
cnf(i_0_1762,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OAgent(X1)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159]) ).
cnf(i_0_1763,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1764,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_1159]) ).
cnf(i_0_1765,plain,
~ c_in(c_Message_Omsg_OCrypt(v_K,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164]) ).
cnf(i_0_1766,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1164]) ).
cnf(i_0_1767,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167]) ).
cnf(i_0_1768,plain,
~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_1769,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_1167]) ).
cnf(i_0_1770,plain,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),X3,tc_Message_Omsg)),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175]) ).
cnf(i_0_1771,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_1310]) ).
cnf(i_0_1772,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_1175]) ).
cnf(i_0_1773,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180]) ).
cnf(i_0_1774,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1395]) ).
cnf(i_0_1775,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_1180]) ).
cnf(i_0_1776,plain,
~ c_in(c_Message_OinvKey(c_Message_OinvKey(v_Kab)),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587]) ).
cnf(i_0_1777,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1778,plain,
~ c_in(v_Kab,c_Message_OinvKey(c_Message_OinvKey(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat))),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588]) ).
cnf(i_0_1779,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1780,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934]) ).
cnf(i_0_1781,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_1782,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_934]) ).
cnf(i_0_1783,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171]) ).
cnf(i_0_1784,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_1171]) ).
cnf(i_0_1785,plain,
c_Message_Oparts(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_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1506,i_0_1509,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192]) ).
cnf(i_0_1786,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1400]) ).
cnf(i_0_1787,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1355]) ).
cnf(i_0_1788,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_1192]) ).
cnf(i_0_1789,plain,
~ class_OrderedGroup_Oab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1506,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278]) ).
cnf(i_0_1790,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_925]) ).
cnf(i_0_1791,plain,
c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) != c_Set_Oinsert(X2,X3,X1),
inference(rename_variables,[],[i_0_1356]) ).
cnf(i_0_1792,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X4,X3)
| X1 = X2
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(rename_variables,[],[i_0_1278]) ).
cnf(i_0_1793,plain,
c_List_Olist_OCons(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),X3) != c_Message_Oparts(c_Message_Osynth(X2)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1506,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522]) ).
cnf(i_0_1794,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1393]) ).
cnf(i_0_1795,plain,
class_HOL_Oord(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1504,i_0_1506,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591]) ).
cnf(i_0_1796,plain,
class_Orderings_Opreorder(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1504,i_0_1506,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592]) ).
cnf(i_0_1797,plain,
class_Orderings_Oorder(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593]) ).
cnf(i_0_1798,plain,
class_Orderings_Olinorder(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595]) ).
cnf(i_0_1799,plain,
~ c_fequal(c_Message_OinvKey(c_Message_OinvKey(c_List_Olist_OCons(X1,X2,X3))),c_List_Olist_ONil(X3),X4),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597]) ).
cnf(i_0_1800,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1801,plain,
~ c_fequal(c_List_Olist_OCons(X1,X2,X3),c_Message_OinvKey(c_Message_OinvKey(c_List_Olist_ONil(X3))),X4),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598]) ).
cnf(i_0_1802,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1803,plain,
class_Orderings_Obot(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1234,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600]) ).
cnf(i_0_1804,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603]) ).
cnf(i_0_1805,plain,
~ c_lessequals(c_Message_OinvKey(c_Message_OinvKey(c_List_Olist_OCons(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3))),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608]) ).
cnf(i_0_1806,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1807,plain,
~ c_lessequals(c_List_Olist_OCons(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),c_Message_OinvKey(c_Message_OinvKey(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609]) ).
cnf(i_0_1808,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1809,plain,
~ c_lessequals(c_List_Olist_OCons(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Message_OinvKey(c_Message_OinvKey(tc_fun(X2,tc_bool)))),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610]) ).
cnf(i_0_1810,plain,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
inference(rename_variables,[],[i_0_1497]) ).
cnf(i_0_1811,plain,
class_Lattices_Olattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1514,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611]) ).
cnf(i_0_1812,plain,
class_Lattices_Odistrib__lattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1512,i_0_1514,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612]) ).
cnf(i_0_1813,plain,
class_Lattices_Oupper__semilattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613]) ).
cnf(i_0_1814,plain,
class_Lattices_Olower__semilattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614]) ).
cnf(i_0_1815,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135]) ).
cnf(i_0_1816,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1395]) ).
cnf(i_0_1817,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_1135]) ).
cnf(i_0_1818,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142]) ).
cnf(i_0_1819,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_1142]) ).
cnf(i_0_1820,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144]) ).
cnf(i_0_1821,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_1144]) ).
cnf(i_0_1822,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X1,tc_bool),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146]) ).
cnf(i_0_1823,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1146]) ).
cnf(i_0_1824,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X2,tc_bool),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148]) ).
cnf(i_0_1825,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1148]) ).
cnf(i_0_1826,plain,
~ c_lessequals(c_Set_Oinsert(X1,X2,X3),c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252]) ).
cnf(i_0_1827,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1234]) ).
cnf(i_0_1828,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_1829,plain,
c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790]) ).
cnf(i_0_1830,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_1302]) ).
cnf(i_0_1831,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(rename_variables,[],[i_0_1158]) ).
cnf(i_0_1832,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(rename_variables,[],[i_0_1158]) ).
cnf(i_0_1833,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)
| c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
inference(rename_variables,[],[i_0_790]) ).
cnf(i_0_1834,plain,
~ c_in(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,X4),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X4),X4,X2),X2),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811]) ).
cnf(i_0_1835,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1836,plain,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_811]) ).
cnf(i_0_1837,plain,
~ class_OrderedGroup_Opordered__ab__group__add(tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136]) ).
cnf(i_0_1838,plain,
c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)),
inference(rename_variables,[],[i_0_925]) ).
cnf(i_0_1839,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1840,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X5,X4,X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1136]) ).
cnf(i_0_1841,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_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257]) ).
cnf(i_0_1842,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_1257]) ).
cnf(i_0_1843,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_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258]) ).
cnf(i_0_1844,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_1258]) ).
cnf(i_0_1845,plain,
~ c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225]) ).
cnf(i_0_1846,plain,
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_1225]) ).
cnf(i_0_1847,plain,
~ c_lessequals(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227]) ).
cnf(i_0_1848,plain,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_1227]) ).
cnf(i_0_1849,plain,
( ~ c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)
| c_Fun_Oinj__on(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat) ),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794]) ).
cnf(i_0_1850,plain,
( c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)
| c_Fun_Oinj__on(c_Fun_Ofun__upd(X2,X6,X1,X4,X5),X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_1851,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794,i_0_1053]) ).
cnf(i_0_1852,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1053]) ).
cnf(i_0_1853,plain,
( ~ c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)
| c_lessequals(c_Set_Ovimage(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),c_Set_Oimage(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),X2,tc_Message_Oagent,tc_nat),tc_Message_Oagent,tc_nat),X2,tc_fun(tc_Message_Oagent,tc_bool)) ),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1839,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794,i_0_1053,i_0_827]) ).
cnf(i_0_1854,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1855,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| ~ c_lessequals(X4,c_Set_Oimage(X1,X5,X2,X3),tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X1,X4,X2,X3),X5,tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_827]) ).
cnf(i_0_1856,plain,
( ~ c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)
| c_Set_Oimage(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),c_List_Olist_OCons(X2,X3,X4),tc_Message_Oagent,tc_nat) != c_Set_Oimage(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),c_List_Olist_ONil(X4),tc_Message_Oagent,tc_nat) ),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1839,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794,i_0_1053,i_0_827,i_0_865]) ).
cnf(i_0_1857,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| c_Set_Oimage(X1,X4,X2,X3) != c_Set_Oimage(X1,X5,X2,X3)
| X4 = X5 ),
inference(rename_variables,[],[i_0_865]) ).
cnf(i_0_1858,plain,
( ~ c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)
| hAPP(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),c_List_Olist_OCons(X2,X3,X4)) != hAPP(c_Fun_Ofun__upd(c_Public_OshrK,X1,v_Kab,tc_Message_Oagent,tc_nat),c_List_Olist_ONil(X4)) ),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1839,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794,i_0_1053,i_0_827,i_0_865,i_0_1001]) ).
cnf(i_0_1859,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| hAPP(X1,X4) != hAPP(X1,X5)
| X4 = X5 ),
inference(rename_variables,[],[i_0_1001]) ).
cnf(i_0_1860,plain,
( ~ c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)
| ~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1839,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794,i_0_1053,i_0_827,i_0_865,i_0_1001,i_0_1337]) ).
cnf(i_0_1861,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1337]) ).
cnf(i_0_1862,plain,
( ~ c_Fun_Oinj__on(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(scs_inference,[],[i_0_894,i_0_1432,i_0_1264,i_0_1367,i_0_1021,i_0_1310,i_0_1158,i_0_1426,i_0_1690,i_0_1693,i_0_1751,i_0_1757,i_0_1302,i_0_1679,i_0_1386,i_0_1497,i_0_1746,i_0_1777,i_0_1779,i_0_1800,i_0_1802,i_0_1806,i_0_1808,i_0_942,i_0_925,i_0_1790,i_0_1181,i_0_1408,i_0_1334,i_0_1197,i_0_1242,i_0_1395,i_0_1774,i_0_1400,i_0_1656,i_0_1722,i_0_1725,i_0_1748,i_0_1754,i_0_1407,i_0_1685,i_0_1835,i_0_1839,i_0_1390,i_0_1393,i_0_1698,i_0_1447,i_0_1205,i_0_1728,i_0_1731,i_0_1355,i_0_1499,i_0_1501,i_0_1504,i_0_1506,i_0_1508,i_0_1509,i_0_1510,i_0_1512,i_0_1514,i_0_1516,i_0_1517,i_0_1356,i_0_1434,i_0_1193,i_0_1719,i_0_1234,i_0_1712,i_0_946,i_0_1075,i_0_1101,i_0_1218,i_0_1236,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1326,i_0_1335,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_853,i_0_875,i_0_977,i_0_1194,i_0_1204,i_0_1259,i_0_1260,i_0_1392,i_0_1424,i_0_1521,i_0_1579,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1040,i_0_1041,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_1430,i_0_1589,i_0_864,i_0_886,i_0_887,i_0_939,i_0_1115,i_0_1159,i_0_1164,i_0_1167,i_0_1175,i_0_1180,i_0_1587,i_0_1588,i_0_934,i_0_1171,i_0_1192,i_0_1278,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1597,i_0_1598,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1252,i_0_790,i_0_811,i_0_1136,i_0_1257,i_0_1258,i_0_1225,i_0_1227,i_0_794,i_0_1053,i_0_827,i_0_865,i_0_1001,i_0_1337,i_0_1076]) ).
cnf(i_0_1863,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_1076]) ).
cnf(i_0_1864,plain,
~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_1865,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1345]) ).
cnf(i_0_1866,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(rename_variables,[],[i_0_1447]) ).
cnf(i_0_1867,plain,
c_Fun_Oinj__on(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X3),
inference(rename_variables,[],[i_0_1158]) ).
cnf(i_0_1868,plain,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1407]) ).
cnf(i_0_1869,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(rename_variables,[],[i_0_942]) ).
cnf(i_0_1870,plain,
c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(rename_variables,[],[i_0_942]) ).
cnf(i_0_1871,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1393]) ).
cnf(i_0_1872,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1873,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_1874,plain,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1402]) ).
cnf(i_0_1875,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
inference(rename_variables,[],[i_0_1302]) ).
cnf(i_0_1877,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OshrK,X1),c_Public_OshrK,X2,X3),
inference(scs_inference,[],[i_0_1687,i_0_1451]) ).
cnf(i_0_1878,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(X1,X2),X1,X3,X4)),
inference(rename_variables,[],[i_0_1687]) ).
cnf(i_0_1879,plain,
( hAPP(c_Public_OshrK,X1) != hAPP(c_Public_OshrK,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1451]) ).
cnf(i_0_1880,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OKey,X2,X3),
inference(scs_inference,[],[i_0_1687,i_0_1878,i_0_1451,i_0_1452]) ).
cnf(i_0_1881,plain,
hAPP(X1,X2) = hAPP(X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(X1,X2),X1,X3,X4)),
inference(rename_variables,[],[i_0_1687]) ).
cnf(i_0_1882,plain,
( hAPP(c_Message_Omsg_OKey,X1) != hAPP(c_Message_Omsg_OKey,X2)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1452]) ).
cnf(i_0_1883,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,hAPP(c_Message_Omsg_OKey,v_K))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_1662,i_0_1687,i_0_1878,i_0_1451,i_0_1452,i_0_1075]) ).
cnf(i_0_1884,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_1075]) ).
cnf(i_0_1885,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,hAPP(c_Message_Omsg_OKey,v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1662,i_0_1687,i_0_1878,i_0_1451,i_0_1452,i_0_1075,i_0_1254]) ).
cnf(i_0_1886,plain,
( 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) ),
inference(rename_variables,[],[i_0_1254]) ).
cnf(i_0_1887,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K)),X2),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1662,i_0_1687,i_0_1878,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255]) ).
cnf(i_0_1888,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_1255]) ).
cnf(i_0_1889,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,hAPP(c_Message_Omsg_OKey,v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1662,i_0_1687,i_0_1878,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256]) ).
cnf(i_0_1890,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_1256]) ).
cnf(i_0_1891,plain,
c_in(c_Message_Osko__Message__Xparts__singleton__1__1(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,v_K)),c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1662,i_0_1687,i_0_1878,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286]) ).
cnf(i_0_1892,plain,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_1893,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6),
inference(scs_inference,[],[i_0_1021,i_0_1662,i_0_1687,i_0_1878,i_0_1711,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369]) ).
cnf(i_0_1894,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_1895,plain,
c_in(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3),
inference(scs_inference,[],[i_0_1021,i_0_1662,i_0_1687,i_0_1878,i_0_1345,i_0_1711,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383]) ).
cnf(i_0_1896,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1383]) ).
cnf(i_0_1897,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X5),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1345,i_0_1711,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830]) ).
cnf(i_0_1898,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_1899,plain,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
inference(rename_variables,[],[i_0_830]) ).
cnf(i_0_1900,plain,
~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Set_Oimage(c_Message_Omsg_OKey,X3,X4,X5),X5),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1448,i_0_1345,i_0_1711,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832]) ).
cnf(i_0_1901,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
inference(rename_variables,[],[i_0_1448]) ).
cnf(i_0_1902,plain,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_1903,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X2,X1,X3,X4),X5,tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845]) ).
cnf(i_0_1904,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_1905,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_1906,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204]) ).
cnf(i_0_1907,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)) ),
inference(rename_variables,[],[i_0_1204]) ).
cnf(i_0_1908,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257]) ).
cnf(i_0_1909,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_1257]) ).
cnf(i_0_1910,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258]) ).
cnf(i_0_1911,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_1258]) ).
cnf(i_0_1912,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X2),X3),X4),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259]) ).
cnf(i_0_1913,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_1259]) ).
cnf(i_0_1914,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X3),X4)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260]) ).
cnf(i_0_1915,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_1260]) ).
cnf(i_0_1916,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6,X7),X8)),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841]) ).
cnf(i_0_1917,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_1711]) ).
cnf(i_0_1918,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_1919,plain,
c_lessequals(c_Set_Ovimage(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X2,tc_Message_Omsg),c_Set_Ovimage(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),X2,tc_Message_Omsg),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872]) ).
cnf(i_0_1920,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_1921,plain,
c_lessequals(c_Set_Oimage(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg,X2),c_Set_Oimage(X1,c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_Message_Omsg,X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874]) ).
cnf(i_0_1922,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_874]) ).
cnf(i_0_1923,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(scs_inference,[],[i_0_1021,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876]) ).
cnf(i_0_1924,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2)),
inference(rename_variables,[],[i_0_1345]) ).
cnf(i_0_1925,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_1926,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X1,X3,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_1021,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038]) ).
cnf(i_0_1927,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_1928,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_1038]) ).
cnf(i_0_1929,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1021,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039]) ).
cnf(i_0_1930,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_1931,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_1039]) ).
cnf(i_0_1932,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088]) ).
cnf(i_0_1933,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1088]) ).
cnf(i_0_1934,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239]) ).
cnf(i_0_1935,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_1239]) ).
cnf(i_0_1936,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),c_Message_Osynth(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240]) ).
cnf(i_0_1937,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_1240]) ).
cnf(i_0_1938,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241]) ).
cnf(i_0_1939,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_1241]) ).
cnf(i_0_1940,plain,
c_lessequals(X1,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),
inference(scs_inference,[],[i_0_1021,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429]) ).
cnf(i_0_1941,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1429]) ).
cnf(i_0_1942,plain,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X6),X5),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946]) ).
cnf(i_0_1943,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(rename_variables,[],[i_0_1676]) ).
cnf(i_0_1944,plain,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(rename_variables,[],[i_0_946]) ).
cnf(i_0_1945,plain,
c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oinsert(X1,X3,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101]) ).
cnf(i_0_1946,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_1947,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_1101]) ).
cnf(i_0_1948,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335]) ).
cnf(i_0_1949,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1335]) ).
cnf(i_0_1950,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076]) ).
cnf(i_0_1951,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_1076]) ).
cnf(i_0_1952,plain,
~ c_fequal(c_List_Olist_OCons(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),X3),c_Message_Oparts(c_Message_Osynth(X2)),X4),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392]) ).
cnf(i_0_1953,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1392]) ).
cnf(i_0_1954,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040]) ).
cnf(i_0_1955,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_1956,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_1957,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041]) ).
cnf(i_0_1958,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_1959,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_1960,plain,
~ c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225]) ).
cnf(i_0_1961,plain,
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_1225]) ).
cnf(i_0_1962,plain,
~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227]) ).
cnf(i_0_1963,plain,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_1227]) ).
cnf(i_0_1964,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337]) ).
cnf(i_0_1965,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1337]) ).
cnf(i_0_1966,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1747,i_0_1662,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236]) ).
cnf(i_0_1967,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_1968,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_1236]) ).
cnf(i_0_1969,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1747,i_0_1662,i_0_1080,i_0_1687,i_0_1878,i_0_1793,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521]) ).
cnf(i_0_1970,plain,
c_Set_Oinsert(X1,X2,X3) != c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1747,i_0_1662,i_0_1080,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579]) ).
cnf(i_0_1971,plain,
hAPP(c_Set_Oinsert(X1,X2,X3),X1) != hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5),
inference(rename_variables,[],[i_0_1804]) ).
cnf(i_0_1972,plain,
c_Message_Osko__Message__Xparts__singleton__1__1(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),hAPP(c_Message_Omsg_OKey,v_K)) = v_X,
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150]) ).
cnf(i_0_1973,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_1974,plain,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1150]) ).
cnf(i_0_1975,plain,
class_Lattices_Obounded__lattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_bool),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1706,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1503,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596]) ).
cnf(i_0_1976,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_1977,plain,
class_Orderings_Otop(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_bool),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1706,i_0_1976,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601]) ).
cnf(i_0_1978,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_1979,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_List_Olist_ONil(tc_Event_Oevent)),c_Public_OpublicKey(X1),X2,X3)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602]) ).
cnf(i_0_1980,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_1981,plain,
c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864]) ).
cnf(i_0_1982,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_1983,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_864]) ).
cnf(i_0_1984,plain,
c_in(hAPP(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oimage(X1,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887]) ).
cnf(i_0_1985,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_1986,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_887]) ).
cnf(i_0_1987,plain,
~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167]) ).
cnf(i_0_1988,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_1167]) ).
cnf(i_0_1989,plain,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OkeysFor(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),X3,X4)),tc_nat),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175]) ).
cnf(i_0_1990,plain,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
inference(rename_variables,[],[i_0_1676]) ).
cnf(i_0_1991,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_1175]) ).
cnf(i_0_1992,plain,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1355,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192]) ).
cnf(i_0_1993,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_1724]) ).
cnf(i_0_1994,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1355]) ).
cnf(i_0_1995,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_1192]) ).
cnf(i_0_1996,plain,
~ c_in(c_Message_Omsg_OHash(hAPP(c_Message_Omsg_OKey,X1)),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1355,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223]) ).
cnf(i_0_1997,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_1998,plain,
( c_in(c_Message_Omsg_OHash(X1),X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OHash(X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1223]) ).
cnf(i_0_1999,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1500,i_0_1503,i_0_1399,i_0_1498,i_0_1355,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135]) ).
cnf(i_0_2000,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_2001,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_1135]) ).
cnf(i_0_2002,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1743,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142]) ).
cnf(i_0_2003,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_1743]) ).
cnf(i_0_2004,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_1142]) ).
cnf(i_0_2005,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_bool),tc_bool),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144]) ).
cnf(i_0_2006,plain,
c_lessequals(X1,X1,tc_bool),
inference(rename_variables,[],[i_0_1743]) ).
cnf(i_0_2007,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_1144]) ).
cnf(i_0_2008,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X1,tc_nat),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1741,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146]) ).
cnf(i_0_2009,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1741]) ).
cnf(i_0_2010,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1146]) ).
cnf(i_0_2011,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_nat),X2,tc_nat),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148]) ).
cnf(i_0_2012,plain,
c_lessequals(X1,X1,tc_nat),
inference(rename_variables,[],[i_0_1741]) ).
cnf(i_0_2013,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1148]) ).
cnf(i_0_2014,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1672,i_0_1851,i_0_1747,i_0_1662,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053]) ).
cnf(i_0_2015,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1053]) ).
cnf(i_0_2016,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OAgent(X1))),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1672,i_0_1851,i_0_1747,i_0_1662,i_0_1762,i_0_1080,i_0_1408,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159]) ).
cnf(i_0_2017,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_1159]) ).
cnf(i_0_2018,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1672,i_0_1851,i_0_1747,i_0_1662,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934]) ).
cnf(i_0_2019,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1730]) ).
cnf(i_0_2020,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_934]) ).
cnf(i_0_2021,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1660,i_0_1672,i_0_1851,i_0_1747,i_0_1662,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170]) ).
cnf(i_0_2022,plain,
( 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) ),
inference(rename_variables,[],[i_0_1170]) ).
cnf(i_0_2023,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),tc_fun(X6,tc_bool)),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1660,i_0_1672,i_0_1851,i_0_1747,i_0_1662,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1924,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252]) ).
cnf(i_0_2024,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_1711]) ).
cnf(i_0_2025,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_2026,plain,
~ c_in(c_Message_Omsg_OCrypt(v_K,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1924,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164]) ).
cnf(i_0_2027,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1164]) ).
cnf(i_0_2028,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180]) ).
cnf(i_0_2029,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(rename_variables,[],[i_0_1737]) ).
cnf(i_0_2030,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_1180]) ).
cnf(i_0_2031,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(v_K,hAPP(c_Message_Omsg_OKey,v_K)),hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171]) ).
cnf(i_0_2032,plain,
~ c_in(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1666]) ).
cnf(i_0_2033,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_1171]) ).
cnf(i_0_2034,plain,
~ c_in(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,X2)),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1448,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172]) ).
cnf(i_0_2035,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_2036,plain,
( 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) ),
inference(rename_variables,[],[i_0_1172]) ).
cnf(i_0_2037,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_HOL_Ominus__class_Ominus(X1,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115]) ).
cnf(i_0_2038,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_2039,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1115]) ).
cnf(i_0_2040,plain,
~ c_in(c_Message_Omsg_OHash(X1),c_Set_Oimage(c_Message_Omsg_OKey,c_Set_Oimage(c_Message_Omsg_OKey,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X2),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1829,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819]) ).
cnf(i_0_2041,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OHash(X2),
inference(rename_variables,[],[i_0_1476]) ).
cnf(i_0_2042,plain,
c_Fun_Oinj__on(X1,c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),
inference(rename_variables,[],[i_0_1829]) ).
cnf(i_0_2043,plain,
( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(rename_variables,[],[i_0_819]) ).
cnf(i_0_2044,plain,
c_Fun_Oinj__on(c_Fun_Ofun__upd(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),X4,X5,X3,X1),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),X3,X1),
inference(scs_inference,[],[i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794]) ).
cnf(i_0_2045,plain,
~ c_in(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,X4),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X4),X4,X2),X2),
inference(rename_variables,[],[i_0_1834]) ).
cnf(i_0_2046,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_1684]) ).
cnf(i_0_2047,plain,
( c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)
| c_Fun_Oinj__on(c_Fun_Ofun__upd(X2,X6,X1,X4,X5),X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_2048,plain,
~ c_in(v_Kab,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(tc_nat,X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(tc_nat,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589]) ).
cnf(i_0_2049,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2050,plain,
~ c_in(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(v_Kab,X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(v_Kab,X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587]) ).
cnf(i_0_2051,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2052,plain,
~ c_in(v_Kab,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588]) ).
cnf(i_0_2053,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2054,plain,
c_List_Olist_OCons(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),X3) != c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Message_Osynth(X2)),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Message_Oparts(c_Message_Osynth(X2)),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522]) ).
cnf(i_0_2055,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2056,plain,
class_HOL_Oord(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591]) ).
cnf(i_0_2057,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2058,plain,
class_Orderings_Opreorder(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592]) ).
cnf(i_0_2059,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2060,plain,
class_Orderings_Oorder(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593]) ).
cnf(i_0_2061,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2062,plain,
class_Orderings_Olinorder(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595]) ).
cnf(i_0_2063,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2064,plain,
class_Orderings_Obot(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600]) ).
cnf(i_0_2065,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2066,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) != hAPP(c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603]) ).
cnf(i_0_2067,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608]) ).
cnf(i_0_2068,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2069,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609]) ).
cnf(i_0_2070,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2071,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(tc_fun(tc_Message_Omsg,tc_bool),X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(tc_Message_Omsg,tc_bool),X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610]) ).
cnf(i_0_2072,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2073,plain,
class_Lattices_Olattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611]) ).
cnf(i_0_2074,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2075,plain,
class_Lattices_Odistrib__lattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612]) ).
cnf(i_0_2076,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2077,plain,
class_Lattices_Oupper__semilattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613]) ).
cnf(i_0_2078,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2079,plain,
class_Lattices_Olower__semilattice(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_1408,i_0_1684,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614]) ).
cnf(i_0_2080,plain,
X1 = c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),X1),c_Public_OpublicKey(X2),X3,X4),
inference(rename_variables,[],[i_0_1706]) ).
cnf(i_0_2081,plain,
~ c_fequal(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_List_Olist_OCons(X1,X2,X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_List_Olist_OCons(X1,X2,X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),c_List_Olist_ONil(X3),X6),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_1408,i_0_1684,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597]) ).
cnf(i_0_2082,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2083,plain,
~ c_fequal(c_List_Olist_OCons(X1,X2,X3),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_List_Olist_ONil(X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_List_Olist_ONil(X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X6),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598]) ).
cnf(i_0_2084,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2085,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X1,X2,X2),c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786]) ).
cnf(i_0_2086,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X4),X4),
inference(rename_variables,[],[i_0_1678]) ).
cnf(i_0_2087,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_1684]) ).
cnf(i_0_2088,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)
| ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4)
| c_Fun_Oinj__on(X3,X1,X4,X5) ),
inference(rename_variables,[],[i_0_786]) ).
cnf(i_0_2089,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,X2),X2,X2),c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,X2),X2,X2),c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X1,X2,X2),c_Set_Oimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X2),X2,X2),X2,X2),X2,X2),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790]) ).
cnf(i_0_2090,plain,
~ c_in(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,X4),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X4),X4,X2),X2),
inference(rename_variables,[],[i_0_1834]) ).
cnf(i_0_2091,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_1684]) ).
cnf(i_0_2092,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_1684]) ).
cnf(i_0_2093,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)
| c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
inference(rename_variables,[],[i_0_790]) ).
cnf(i_0_2094,plain,
~ c_in(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X2),X2),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811]) ).
cnf(i_0_2095,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_2096,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1727]) ).
cnf(i_0_2097,plain,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_811]) ).
cnf(i_0_2098,plain,
~ c_in(v_Kab,c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),X1,tc_fun(tc_nat,tc_bool)),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160]) ).
cnf(i_0_2099,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1160]) ).
cnf(i_0_2100,plain,
~ c_in(v_Kab,c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),X1,tc_fun(tc_nat,tc_bool)),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161]) ).
cnf(i_0_2101,plain,
( c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),X4)
| ~ c_in(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1161]) ).
cnf(i_0_2102,plain,
~ c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215]) ).
cnf(i_0_2103,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1215]) ).
cnf(i_0_2104,plain,
~ c_in(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216]) ).
cnf(i_0_2105,plain,
( 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) ),
inference(rename_variables,[],[i_0_1216]) ).
cnf(i_0_2106,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979]) ).
cnf(i_0_2107,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_979]) ).
cnf(i_0_2108,plain,
~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool)),X5),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952]) ).
cnf(i_0_2109,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_2110,plain,
c_lessequals(X1,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),tc_nat),c_Public_OpublicKey(X3),X4,X5)),c_Public_OpublicKey(X2),X6,X7)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430]) ).
cnf(i_0_2111,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1430]) ).
cnf(i_0_2112,plain,
c_in(hAPP(X1,hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oparts(c_Set_Oimage(X1,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948]) ).
cnf(i_0_2113,plain,
~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_2114,plain,
( ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_948]) ).
cnf(i_0_2115,plain,
( ~ c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),tc_fun(X3,tc_bool)),X3,X1)
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),c_Set_Oinsert(X5,c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),tc_fun(X3,tc_bool)),X3),X3,X1) ),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808]) ).
cnf(i_0_2116,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(rename_variables,[],[i_0_808]) ).
cnf(i_0_2117,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1207,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808,i_0_1012]) ).
cnf(i_0_2118,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1207]) ).
cnf(i_0_2119,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))
| ~ c_lessequals(X1,X4,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1012]) ).
cnf(i_0_2120,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1207,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1205,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808,i_0_1012,i_0_1014]) ).
cnf(i_0_2121,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1205]) ).
cnf(i_0_2122,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1014]) ).
cnf(i_0_2123,plain,
~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1207,i_0_1354,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1205,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808,i_0_1012,i_0_1014,i_0_1073]) ).
cnf(i_0_2124,plain,
c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)),
inference(rename_variables,[],[i_0_1354]) ).
cnf(i_0_2125,plain,
( 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) ),
inference(rename_variables,[],[i_0_1073]) ).
cnf(i_0_2126,plain,
c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oinsert(v_Kab,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)) = c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_941,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1207,i_0_1354,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1205,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808,i_0_1012,i_0_1014,i_0_1073,i_0_1166]) ).
cnf(i_0_2127,plain,
c_Set_Oinsert(X1,c_HOL_Ominus__class_Ominus(X2,c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X3) = c_Set_Oinsert(X1,X2,X3),
inference(rename_variables,[],[i_0_941]) ).
cnf(i_0_2128,plain,
( c_Set_Oinsert(X1,X2,X3) != c_Set_Oinsert(X1,X4,X3)
| X2 = X4
| c_in(X1,X4,X3)
| c_in(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1166]) ).
cnf(i_0_2129,plain,
( ~ c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),tc_fun(X3,tc_bool)),X3,X1)
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),tc_fun(X3,tc_bool)),X3,X1) ),
inference(scs_inference,[],[i_0_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_941,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1207,i_0_1354,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1205,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808,i_0_1012,i_0_1014,i_0_1073,i_0_1166,i_0_926]) ).
cnf(i_0_2130,plain,
( ~ c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(rename_variables,[],[i_0_926]) ).
cnf(i_0_2131,plain,
( ~ c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),tc_fun(X3,tc_bool)),X3,X1)
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Orderings_Obot__class_Obot(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_894,i_0_1021,i_0_1264,i_0_1676,i_0_1943,i_0_1767,i_0_1674,i_0_1898,i_0_1967,i_0_1973,i_0_1997,i_0_2035,i_0_1660,i_0_1672,i_0_1765,i_0_1851,i_0_1747,i_0_1662,i_0_1666,i_0_1762,i_0_1080,i_0_2049,i_0_2051,i_0_2053,i_0_2055,i_0_2068,i_0_2070,i_0_2072,i_0_2082,i_0_1408,i_0_1684,i_0_2046,i_0_2087,i_0_1704,i_0_1706,i_0_1976,i_0_1978,i_0_1980,i_0_2057,i_0_2059,i_0_2061,i_0_2063,i_0_2065,i_0_2074,i_0_2076,i_0_2078,i_0_1687,i_0_1878,i_0_1793,i_0_1834,i_0_2045,i_0_1829,i_0_2042,i_0_1678,i_0_1804,i_0_1795,i_0_1796,i_0_1797,i_0_1798,i_0_1803,i_0_1811,i_0_1812,i_0_1813,i_0_1814,i_0_1841,i_0_1700,i_0_941,i_0_1197,i_0_1181,i_0_1448,i_0_1476,i_0_1345,i_0_1924,i_0_1737,i_0_1724,i_0_1927,i_0_1930,i_0_1946,i_0_1982,i_0_1985,i_0_1711,i_0_1917,i_0_2024,i_0_1727,i_0_1904,i_0_1955,i_0_1958,i_0_2000,i_0_1730,i_0_1847,i_0_1845,i_0_1741,i_0_2009,i_0_1743,i_0_2003,i_0_1207,i_0_1354,i_0_1500,i_0_1503,i_0_1511,i_0_1399,i_0_1498,i_0_1205,i_0_1355,i_0_1516,i_0_1451,i_0_1452,i_0_1075,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1204,i_0_1257,i_0_1258,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1429,i_0_946,i_0_1101,i_0_1335,i_0_1076,i_0_1392,i_0_1040,i_0_1041,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1596,i_0_1601,i_0_1602,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1223,i_0_1135,i_0_1142,i_0_1144,i_0_1146,i_0_1148,i_0_1053,i_0_1159,i_0_934,i_0_1170,i_0_1252,i_0_1164,i_0_1180,i_0_1171,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1592,i_0_1593,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1597,i_0_1598,i_0_786,i_0_790,i_0_811,i_0_1160,i_0_1161,i_0_1215,i_0_1216,i_0_979,i_0_952,i_0_1430,i_0_948,i_0_808,i_0_1012,i_0_1014,i_0_1073,i_0_1166,i_0_926,i_0_978]) ).
cnf(i_0_2132,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_2133,plain,
c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X4,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_962]) ).
cnf(i_0_2134,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2135,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1393]) ).
cnf(i_0_2136,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = X1,
inference(rename_variables,[],[i_0_1080]) ).
cnf(i_0_2138,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Message_Oparts(c_Orderings_Obot__class_Obot(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_2117,i_0_978]) ).
cnf(i_0_2139,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_2140,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),X2),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2102,i_0_2117,i_0_978,i_0_1215]) ).
cnf(i_0_2141,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1215]) ).
cnf(i_0_2142,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X2)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2102,i_0_2117,i_0_978,i_0_1215,i_0_1216]) ).
cnf(i_0_2143,plain,
( 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) ),
inference(rename_variables,[],[i_0_1216]) ).
cnf(i_0_2144,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7,X8),X9),
inference(scs_inference,[],[i_0_2102,i_0_1916,i_0_2117,i_0_978,i_0_1215,i_0_1216,i_0_1369]) ).
cnf(i_0_2145,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_2146,plain,
c_in(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,X1),X3,X4),X5,X6),X7),
inference(scs_inference,[],[i_0_2102,i_0_1718,i_0_1916,i_0_2117,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383]) ).
cnf(i_0_2147,plain,
( ~ hBOOL(hAPP(X1,X2))
| c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1383]) ).
cnf(i_0_2148,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7,X8),X8),
inference(scs_inference,[],[i_0_1893,i_0_2102,i_0_1718,i_0_1916,i_0_2117,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830]) ).
cnf(i_0_2149,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6),
inference(rename_variables,[],[i_0_1893]) ).
cnf(i_0_2150,plain,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
inference(rename_variables,[],[i_0_830]) ).
cnf(i_0_2151,plain,
~ c_in(hAPP(c_Set_Ovimage(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X4),X5),c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(X6,tc_bool)),X7,X8,X9),X9),
inference(scs_inference,[],[i_0_1893,i_0_2066,i_0_2102,i_0_1718,i_0_1916,i_0_2117,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832]) ).
cnf(i_0_2152,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) != hAPP(c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2153,plain,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_2154,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X2,X1,X3,X4),X5,tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X7,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_1893,i_0_2066,i_0_2102,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845]) ).
cnf(i_0_2155,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1954]) ).
cnf(i_0_2156,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_2157,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,X3)),X4),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1893,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259]) ).
cnf(i_0_2158,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_1259]) ).
cnf(i_0_2159,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(X3,X4))),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1893,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260]) ).
cnf(i_0_2160,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_1260]) ).
cnf(i_0_2161,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7,X8),X9,X10),X11)),
inference(scs_inference,[],[i_0_1893,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841]) ).
cnf(i_0_2162,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6,X7),X8)),
inference(rename_variables,[],[i_0_1916]) ).
cnf(i_0_2163,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_2164,plain,
c_lessequals(c_Set_Ovimage(X1,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),X2,tc_Message_Omsg),c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),X2,tc_Message_Omsg),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872]) ).
cnf(i_0_2165,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_2166,plain,
c_lessequals(c_Set_Oimage(X1,c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg,X2),c_Set_Oimage(X1,c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X3,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_Message_Omsg,X2),tc_fun(X2,tc_bool)),
inference(scs_inference,[],[i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874]) ).
cnf(i_0_2167,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_874]) ).
cnf(i_0_2168,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Oinsert(hAPP(X2,hAPP(X1,X3)),X4,X5),X6,X7),X8,X9),X3)),
inference(scs_inference,[],[i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876]) ).
cnf(i_0_2169,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Oinsert(hAPP(X1,X2),X3,X4),X5,X6),X2)),
inference(rename_variables,[],[i_0_1718]) ).
cnf(i_0_2170,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_2171,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_Message_Omsg,tc_bool)),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_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038]) ).
cnf(i_0_2172,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2173,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_1038]) ).
cnf(i_0_2174,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(tc_Message_Omsg,tc_bool)),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_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039]) ).
cnf(i_0_2175,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2176,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_1039]) ).
cnf(i_0_2177,plain,
~ c_lessequals(c_Set_Oinsert(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088]) ).
cnf(i_0_2178,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_1088]) ).
cnf(i_0_2179,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239]) ).
cnf(i_0_2180,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_1239]) ).
cnf(i_0_2181,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),c_Message_Osynth(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240]) ).
cnf(i_0_2182,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_1240]) ).
cnf(i_0_2183,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))),c_Message_Oanalz(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241]) ).
cnf(i_0_2184,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_1241]) ).
cnf(i_0_2185,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OCrypt(X4,hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075]) ).
cnf(i_0_2186,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_1075]) ).
cnf(i_0_2187,plain,
c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oinsert(X1,X4,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101]) ).
cnf(i_0_2188,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2189,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_1101]) ).
cnf(i_0_2190,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,hAPP(c_Message_Omsg_OKey,v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254]) ).
cnf(i_0_2191,plain,
( 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) ),
inference(rename_variables,[],[i_0_1254]) ).
cnf(i_0_2192,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,hAPP(c_Message_Omsg_OKey,v_K))),X3),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255]) ).
cnf(i_0_2193,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_1255]) ).
cnf(i_0_2194,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OCrypt(X3,hAPP(c_Message_Omsg_OKey,v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256]) ).
cnf(i_0_2195,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_1256]) ).
cnf(i_0_2196,plain,
c_in(c_Message_Osko__Message__Xparts__singleton__1__1(c_Set_Oinsert(X1,X2,tc_Message_Omsg),X1),c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286]) ).
cnf(i_0_2197,plain,
( ~ c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(c_Message_Osko__Message__Xparts__singleton__1__1(X2,X1),X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1286]) ).
cnf(i_0_2198,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),X2),X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257]) ).
cnf(i_0_2199,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_1257]) ).
cnf(i_0_2200,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X2),X3)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258]) ).
cnf(i_0_2201,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_1258]) ).
cnf(i_0_2202,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040]) ).
cnf(i_0_2203,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1954]) ).
cnf(i_0_2204,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_2205,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041]) ).
cnf(i_0_2206,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1954]) ).
cnf(i_0_2207,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_2208,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3),X4)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076]) ).
cnf(i_0_2209,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_1076]) ).
cnf(i_0_2210,plain,
~ c_fequal(c_List_Olist_OCons(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(X2),tc_fun(tc_Message_Omsg,tc_bool)),X3),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Message_Osynth(X2)),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Message_Oparts(c_Message_Osynth(X2)),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool)),X6),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392]) ).
cnf(i_0_2211,plain,
( X1 = X2
| ~ c_fequal(X1,X2,X3) ),
inference(rename_variables,[],[i_0_1392]) ).
cnf(i_0_2212,plain,
c_in(X1,c_Set_Ovimage(X2,c_Message_Oparts(c_Set_Oinsert(hAPP(X2,X1),X3,tc_Message_Omsg)),X4,tc_Message_Omsg),X4),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946]) ).
cnf(i_0_2213,plain,
c_in(X1,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_2214,plain,
( ~ c_in(hAPP(X1,X2),X3,X4)
| c_in(X2,c_Set_Ovimage(X1,X3,X5,X4),X5) ),
inference(rename_variables,[],[i_0_946]) ).
cnf(i_0_2215,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,hAPP(c_Message_Omsg_OKey,v_K))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335]) ).
cnf(i_0_2216,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1335]) ).
cnf(i_0_2217,plain,
~ c_lessequals(c_Message_Oparts(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225]) ).
cnf(i_0_2218,plain,
( c_lessequals(X1,c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_1225]) ).
cnf(i_0_2219,plain,
~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),c_Message_Oanalz(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227]) ).
cnf(i_0_2220,plain,
( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(rename_variables,[],[i_0_1227]) ).
cnf(i_0_2221,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X1),X2),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1893,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337]) ).
cnf(i_0_2222,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1337]) ).
cnf(i_0_2223,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236]) ).
cnf(i_0_2224,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_1236]) ).
cnf(i_0_2225,plain,
c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oinsert(v_Kab,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521]) ).
cnf(i_0_2226,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)) != c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579]) ).
cnf(i_0_2227,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) != hAPP(c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7),
inference(rename_variables,[],[i_0_2066]) ).
cnf(i_0_2228,plain,
c_Message_Osko__Message__Xparts__singleton__1__1(c_Set_Oinsert(hAPP(X1,X2),c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),tc_Message_Omsg),hAPP(X1,X2)) = hAPP(X1,X2),
inference(scs_inference,[],[i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150]) ).
cnf(i_0_2229,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6),
inference(rename_variables,[],[i_0_1893]) ).
cnf(i_0_2230,plain,
( ~ c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| c_in(X1,X3,X4)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1150]) ).
cnf(i_0_2231,plain,
~ c_in(v_Kab,c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,tc_nat),tc_fun(tc_nat,tc_bool)),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097]) ).
cnf(i_0_2232,plain,
~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool)),X5),
inference(rename_variables,[],[i_0_2108]) ).
cnf(i_0_2233,plain,
( c_in(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_fun(X4,tc_bool)),X4)
| c_in(X1,X3,X4)
| ~ c_in(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1097]) ).
cnf(i_0_2234,plain,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Set_Oinsert(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864]) ).
cnf(i_0_2235,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2236,plain,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| c_lessequals(X1,c_Set_Oinsert(X2,X4,X3),tc_fun(X3,tc_bool))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_864]) ).
cnf(i_0_2237,plain,
c_in(hAPP(X1,c_Message_Omsg_OCrypt(v_KAB,v_X)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Set_Oimage(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887]) ).
cnf(i_0_2238,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2239,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_887]) ).
cnf(i_0_2240,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),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_894,i_0_1367,i_0_1655,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167]) ).
cnf(i_0_2241,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_1200]) ).
cnf(i_0_2242,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_1167]) ).
cnf(i_0_2243,plain,
c_in(hAPP(c_Public_OshrK,X1),c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),X2),X3,tc_Message_Omsg))),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175]) ).
cnf(i_0_2244,plain,
c_in(X1,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_2245,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_1175]) ).
cnf(i_0_2246,plain,
c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192]) ).
cnf(i_0_2247,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2248,plain,
c_lessequals(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
inference(rename_variables,[],[i_0_1355]) ).
cnf(i_0_2249,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_1192]) ).
cnf(i_0_2250,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),X1,tc_fun(tc_Message_Omsg,tc_bool)),X2,tc_fun(tc_Message_Omsg,tc_bool)),X3,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135]) ).
cnf(i_0_2251,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1954]) ).
cnf(i_0_2252,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_1135]) ).
cnf(i_0_2253,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146]) ).
cnf(i_0_2254,plain,
c_lessequals(X1,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),tc_nat),c_Public_OpublicKey(X3),X4,X5)),c_Public_OpublicKey(X2),X6,X7)),
inference(rename_variables,[],[i_0_2110]) ).
cnf(i_0_2255,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1146]) ).
cnf(i_0_2256,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148]) ).
cnf(i_0_2257,plain,
c_lessequals(X1,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),tc_nat),c_Public_OpublicKey(X3),X4,X5)),c_Public_OpublicKey(X2),X6,X7)),
inference(rename_variables,[],[i_0_2110]) ).
cnf(i_0_2258,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4)
| c_lessequals(X1,X3,X4) ),
inference(rename_variables,[],[i_0_1148]) ).
cnf(i_0_2259,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142]) ).
cnf(i_0_2260,plain,
c_lessequals(X1,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),tc_nat),c_Public_OpublicKey(X3),X4,X5)),c_Public_OpublicKey(X2),X6,X7)),
inference(rename_variables,[],[i_0_2110]) ).
cnf(i_0_2261,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_1142]) ).
cnf(i_0_2262,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X4),tc_nat),c_Public_OpublicKey(X4),X5,X6)),c_Public_OpublicKey(X3),X7,X8)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144]) ).
cnf(i_0_2263,plain,
c_lessequals(X1,X1,c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X3),tc_nat),c_Public_OpublicKey(X3),X4,X5)),c_Public_OpublicKey(X2),X6,X7)),
inference(rename_variables,[],[i_0_2110]) ).
cnf(i_0_2264,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_1144]) ).
cnf(i_0_2265,plain,
~ c_lessequals(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7,X8),tc_fun(X9,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252]) ).
cnf(i_0_2266,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6,X7),X8)),
inference(rename_variables,[],[i_0_1916]) ).
cnf(i_0_2267,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(X3,X2))
| ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1252]) ).
cnf(i_0_2268,plain,
c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OAgent(X2)),c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,X1),X3,tc_Message_Omsg))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159]) ).
cnf(i_0_2269,plain,
c_in(X1,c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1655]) ).
cnf(i_0_2270,plain,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1426]) ).
cnf(i_0_2271,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_1159]) ).
cnf(i_0_2272,plain,
c_Fun_Oinj__on(c_Fun_Ofun__upd(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),X4,X5,X3,X1),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),X6,tc_fun(X3,tc_bool)),X7,tc_fun(X3,tc_bool)),X8,tc_fun(X3,tc_bool)),X3,X1),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934]) ).
cnf(i_0_2273,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1954]) ).
cnf(i_0_2274,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_Fun_Oinj__on(X4,X2,X3,X5)
| c_Fun_Oinj__on(X4,X1,X3,X5) ),
inference(rename_variables,[],[i_0_934]) ).
cnf(i_0_2275,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,X2)),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_1987,i_0_1885,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170]) ).
cnf(i_0_2276,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1966]) ).
cnf(i_0_2277,plain,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3),
inference(rename_variables,[],[i_0_1674]) ).
cnf(i_0_2278,plain,
( 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) ),
inference(rename_variables,[],[i_0_1170]) ).
cnf(i_0_2279,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_1885,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053]) ).
cnf(i_0_2280,plain,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X4,X2,X3),tc_fun(X3,tc_bool))
| c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1053]) ).
cnf(i_0_2281,plain,
~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K))),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_1885,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164]) ).
cnf(i_0_2282,plain,
~ c_in(c_Message_Omsg_OCrypt(X1,c_Message_Omsg_OCrypt(X2,hAPP(c_Message_Omsg_OKey,v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1885]) ).
cnf(i_0_2283,plain,
( c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1164]) ).
cnf(i_0_2284,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(v_K,hAPP(c_Message_Omsg_OKey,v_K)),hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171]) ).
cnf(i_0_2285,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_1171]) ).
cnf(i_0_2286,plain,
c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180]) ).
cnf(i_0_2287,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,X1,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_1929]) ).
cnf(i_0_2288,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_1180]) ).
cnf(i_0_2289,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K)),hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172]) ).
cnf(i_0_2290,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,hAPP(c_Message_Omsg_OKey,v_K)),X2),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1887]) ).
cnf(i_0_2291,plain,
( 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) ),
inference(rename_variables,[],[i_0_1172]) ).
cnf(i_0_2292,plain,
~ c_in(c_Message_Omsg_OCrypt(v_KAB,v_X),c_HOL_Ominus__class_Ominus(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115]) ).
cnf(i_0_2293,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ominus__class_Ominus(X2,X1,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1181]) ).
cnf(i_0_2294,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_in(X4,X2,X3)
| ~ c_in(X4,X1,X3) ),
inference(rename_variables,[],[i_0_1115]) ).
cnf(i_0_2295,plain,
~ c_in(c_Message_Omsg_ONonce(X1),c_Set_Oimage(c_Message_Omsg_OKey,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),X4),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2054,i_0_1780,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819]) ).
cnf(i_0_2296,plain,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
inference(rename_variables,[],[i_0_1477]) ).
cnf(i_0_2297,plain,
c_Fun_Oinj__on(X1,c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,tc_fun(X2,tc_bool)),X2,X4),
inference(rename_variables,[],[i_0_1780]) ).
cnf(i_0_2298,plain,
( hAPP(X1,hAPP(c_Fun_Othe__inv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4)
| ~ c_Fun_Oinj__on(X1,X2,X3,X4) ),
inference(rename_variables,[],[i_0_819]) ).
cnf(i_0_2299,plain,
c_Fun_Oinj__on(c_Fun_Ofun__upd(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X3),X4,X5,X3,X1),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X3),tc_fun(X3,tc_bool)),X7,tc_fun(X3,tc_bool)),X3,X1),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2054,i_0_1780,i_0_2066,i_0_2152,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794]) ).
cnf(i_0_2300,plain,
~ c_in(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3,X2,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X2),X2),
inference(rename_variables,[],[i_0_2094]) ).
cnf(i_0_2301,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(rename_variables,[],[i_0_2018]) ).
cnf(i_0_2302,plain,
( c_in(X1,c_Set_Oimage(X2,X3,X4,X5),X5)
| c_Fun_Oinj__on(c_Fun_Ofun__upd(X2,X6,X1,X4,X5),X3,X4,X5)
| ~ c_Fun_Oinj__on(X2,X3,X4,X5) ),
inference(rename_variables,[],[i_0_794]) ).
cnf(i_0_2303,plain,
class_Lattices_Obounded__lattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_bool),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_bool),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2054,i_0_1780,i_0_2066,i_0_2152,i_0_1975,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596]) ).
cnf(i_0_2304,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2305,plain,
class_Orderings_Otop(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_bool),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_bool),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2054,i_0_1780,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601]) ).
cnf(i_0_2306,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2307,plain,
c_NS__Shared__Mirabelle_Ons__sharedp(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_List_Olist_ONil(tc_Event_Oevent)),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_List_Olist_ONil(tc_Event_Oevent)),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602]) ).
cnf(i_0_2308,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2309,plain,
~ c_in(v_Kab,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_nat,tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589]) ).
cnf(i_0_2310,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2311,plain,
~ c_in(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),v_Kab,tc_fun(X1,tc_bool)),c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587]) ).
cnf(i_0_2312,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2313,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(X1,tc_bool)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588]) ).
cnf(i_0_2314,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2315,plain,
c_List_Olist_OCons(X1,c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),X2) != c_HOL_Ominus__class_Ominus(c_Set_Oimage(c_Public_OshrK,c_Orderings_Otop__class_Otop(tc_fun(tc_Message_Oagent,tc_bool)),tc_Message_Oagent,tc_nat),c_Set_Oinsert(v_Kab,c_Orderings_Obot__class_Obot(tc_fun(tc_nat,tc_bool)),tc_nat),tc_fun(tc_nat,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_1408,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522]) ).
cnf(i_0_2316,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1393]) ).
cnf(i_0_2317,plain,
class_HOL_Oord(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_1408,i_0_2056,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591]) ).
cnf(i_0_2318,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2319,plain,
class_Orderings_Olinorder(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_1408,i_0_2056,i_0_2062,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595]) ).
cnf(i_0_2320,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2321,plain,
class_Orderings_Obot(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600]) ).
cnf(i_0_2322,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2323,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) != hAPP(c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X7),X8,X9),X10),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603]) ).
cnf(i_0_2324,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(X1,tc_bool)),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608]) ).
cnf(i_0_2325,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2326,plain,
~ c_lessequals(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(X1,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609]) ).
cnf(i_0_2327,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2328,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool),tc_fun(X1,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610]) ).
cnf(i_0_2329,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2330,plain,
class_Lattices_Olattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611]) ).
cnf(i_0_2331,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2332,plain,
class_Lattices_Odistrib__lattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612]) ).
cnf(i_0_2333,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2334,plain,
class_Lattices_Oupper__semilattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613]) ).
cnf(i_0_2335,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2336,plain,
class_Lattices_Olower__semilattice(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4)),c_Public_OpublicKey(X1),X5,X6),X7,tc_fun(X8,tc_bool)),tc_fun(X8,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614]) ).
cnf(i_0_2337,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2338,plain,
class_Orderings_Opreorder(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592]) ).
cnf(i_0_2339,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2340,plain,
class_Orderings_Oorder(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X1),tc_nat),c_Public_OpublicKey(X1),X2,X3),X4,tc_fun(X5,tc_bool)),tc_fun(X5,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_1408,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593]) ).
cnf(i_0_2341,plain,
X1 = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1969]) ).
cnf(i_0_2342,plain,
~ c_fequal(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Message_OinvKey(c_Message_OinvKey(c_List_Olist_OCons(X2,X3,X4))),tc_fun(X1,tc_bool)),c_List_Olist_ONil(X4),X5),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597]) ).
cnf(i_0_2343,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2344,plain,
~ c_fequal(c_Message_OinvKey(c_Message_OinvKey(c_List_Olist_OCons(X1,X2,X3))),c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),c_List_Olist_ONil(X3),tc_fun(X4,tc_bool)),X5),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598]) ).
cnf(i_0_2345,plain,
c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,tc_fun(X1,tc_bool)) = X2,
inference(rename_variables,[],[i_0_1350]) ).
cnf(i_0_2346,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X3,tc_bool),X2,tc_bool),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1507,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201]) ).
cnf(i_0_2347,plain,
c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_bool),X1,tc_bool),
inference(rename_variables,[],[i_0_1822]) ).
cnf(i_0_2348,plain,
( ~ class_Orderings_Opreorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_1201]) ).
cnf(i_0_2349,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_nat),X3,tc_nat),tc_nat),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202]) ).
cnf(i_0_2350,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_nat),tc_nat),
inference(rename_variables,[],[i_0_1818]) ).
cnf(i_0_2351,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X4,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
inference(rename_variables,[],[i_0_1202]) ).
cnf(i_0_2352,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X2,X3,X3),X3,X3),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3,X3),tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X3,X3),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2232,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786]) ).
cnf(i_0_2353,plain,
~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool)),X5),
inference(rename_variables,[],[i_0_2108]) ).
cnf(i_0_2354,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oimage(X2,X1,X3,X4),X4,X3),
inference(rename_variables,[],[i_0_1684]) ).
cnf(i_0_2355,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(rename_variables,[],[i_0_2018]) ).
cnf(i_0_2356,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)
| ~ c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4)
| c_Fun_Oinj__on(X3,X1,X4,X5) ),
inference(rename_variables,[],[i_0_786]) ).
cnf(i_0_2357,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X1),c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1,X1),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),c_Set_Oimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X1),tc_fun(X1,tc_bool)),X4,tc_fun(X1,tc_bool)),X1,X1),X1,X1),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790]) ).
cnf(i_0_2358,plain,
~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),c_Set_Oimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4,X5),tc_fun(X5,tc_bool)),X6,tc_fun(X5,tc_bool)),X5),
inference(rename_variables,[],[i_0_2108]) ).
cnf(i_0_2359,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(rename_variables,[],[i_0_2018]) ).
cnf(i_0_2360,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(rename_variables,[],[i_0_2018]) ).
cnf(i_0_2361,plain,
( c_in(c_ATP__Linkup_Osko__Fun__Xinj__on__image__iff__1__2(X1,X2,X3,X4,X5),X1,X4)
| c_Fun_Oinj__on(X3,c_Set_Oimage(X2,X1,X4,X4),X4,X5)
| ~ c_Fun_Oinj__on(X3,X1,X4,X5)
| ~ c_Fun_Oinj__on(X2,X1,X4,X4) ),
inference(rename_variables,[],[i_0_790]) ).
cnf(i_0_2362,plain,
~ c_in(X1,c_Set_Oimage(c_Hilbert__Choice_Oinv__into(X2,X3,X4,X5),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X6,c_Orderings_Obot__class_Obot(tc_fun(X7,tc_bool)),X8,X9),X10,tc_fun(X5,tc_bool)),c_Set_Oimage(X3,X2,X4,X5),tc_fun(X5,tc_bool)),X11,tc_fun(X5,tc_bool)),X5,X4),X4),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811]) ).
cnf(i_0_2363,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6),
inference(rename_variables,[],[i_0_1893]) ).
cnf(i_0_2364,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1954]) ).
cnf(i_0_2365,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(X5,c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X4,X3),
inference(rename_variables,[],[i_0_2018]) ).
cnf(i_0_2366,plain,
( c_in(hAPP(c_Fun_Othe__inv__into(X1,X2,X3,X4),X5),X6,X3)
| ~ c_lessequals(X1,X6,tc_fun(X3,tc_bool))
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4)
| ~ c_Fun_Oinj__on(X2,X1,X3,X4) ),
inference(rename_variables,[],[i_0_811]) ).
cnf(i_0_2367,plain,
~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(X1,tc_bool)),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157]) ).
cnf(i_0_2368,plain,
( c_lessequals(X1,c_Set_Oinsert(X2,X3,X4),tc_fun(X4,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1157]) ).
cnf(i_0_2369,plain,
~ c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oinsert(v_X,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979]) ).
cnf(i_0_2370,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X4,tc_bool)),X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_979]) ).
cnf(i_0_2371,plain,
~ c_in(X1,c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6,tc_fun(X7,tc_bool)),c_Set_Oimage(X8,X9,X10,X7),tc_fun(X7,tc_bool)),X11,tc_fun(X7,tc_bool)),X7),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952]) ).
cnf(i_0_2372,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,X3,X4,X5),X5)
| ~ c_in(X2,X3,X4) ),
inference(rename_variables,[],[i_0_952]) ).
cnf(i_0_2373,plain,
c_lessequals(X1,X1,c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4),X5,tc_fun(X6,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_ATP__Linkup_Osko__Set__XrangeE__1__1(hAPP(c_Public_OpublicKey(X2),tc_nat),c_Public_OpublicKey(X2),X3,X4),X5,tc_fun(X6,tc_bool)),tc_fun(X6,tc_bool))),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429]) ).
cnf(i_0_2374,plain,
( ~ class_Orderings_Opreorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_1429]) ).
cnf(i_0_2375,plain,
( ~ class_Orderings_Olinorder(tc_fun(tc_Message_Omsg,tc_bool))
| c_lessequals(c_Set_Oinsert(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368]) ).
cnf(i_0_2376,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1368]) ).
cnf(i_0_2377,plain,
c_in(hAPP(X1,c_Message_Omsg_OCrypt(v_KAB,v_X)),c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Set_Oimage(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg,tc_Message_Omsg),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948]) ).
cnf(i_0_2378,plain,
~ c_in(X1,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(rename_variables,[],[i_0_1197]) ).
cnf(i_0_2379,plain,
( ~ c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_948]) ).
cnf(i_0_2380,plain,
~ c_in(v_X,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1208,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948,i_0_1073]) ).
cnf(i_0_2381,plain,
c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_1208]) ).
cnf(i_0_2382,plain,
( 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) ),
inference(rename_variables,[],[i_0_1073]) ).
cnf(i_0_2383,plain,
( ~ c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X8),X9,tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X4,X3)
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_Set_Oinsert(X10,c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(X5,c_Orderings_Obot__class_Obot(tc_fun(X6,tc_bool)),X7,X8),X9,tc_fun(X4,tc_bool)),c_Set_Oimage(X2,X1,X3,X4),tc_fun(X4,tc_bool)),X4),X4,X3) ),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1208,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948,i_0_1073,i_0_808]) ).
cnf(i_0_2384,plain,
( c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_HOL_Ominus__class_Ominus(X3,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X4),tc_fun(X4,tc_bool)),X4,X5),X5)
| c_Fun_Oinj__on(X1,c_Set_Oinsert(X2,X3,X4),X4,X5)
| ~ c_Fun_Oinj__on(X1,X3,X4,X5) ),
inference(rename_variables,[],[i_0_808]) ).
cnf(i_0_2385,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| hAPP(X1,X4) = hAPP(X1,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X4),X1,X3,X2)) ),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_942,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1208,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948,i_0_1073,i_0_808,i_0_824]) ).
cnf(i_0_2386,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__Fun__Xrange__ex1__eq__1__1(X1,X2,X4,X3))
| ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(rename_variables,[],[i_0_824]) ).
cnf(i_0_2387,plain,
( ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X2,X3)
| X4 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X4),X1,X3,X2) ),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_942,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1208,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948,i_0_1073,i_0_808,i_0_824,i_0_834]) ).
cnf(i_0_2388,plain,
( ~ c_in(hAPP(X1,X2),c_Set_Oimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4),X4)
| X2 = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(X1,X2),X1,X4,X3)
| ~ c_Fun_Oinj__on(X1,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4) ),
inference(rename_variables,[],[i_0_834]) ).
cnf(i_0_2389,plain,
( ~ c_lessequals(c_List_Olist_OCons(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4),c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool))
| c_List_Olist_OCons(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X4) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_942,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_2316,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1208,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948,i_0_1073,i_0_808,i_0_824,i_0_834,i_0_980]) ).
cnf(i_0_2390,plain,
c_List_Olist_OCons(X1,X2,X3) != X2,
inference(rename_variables,[],[i_0_1393]) ).
cnf(i_0_2391,plain,
( X1 = c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3)
| X1 = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_980]) ).
cnf(i_0_2392,plain,
( ~ class_Lattices_Oupper__semilattice(tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(scs_inference,[],[i_0_894,i_0_1367,i_0_1264,i_0_1655,i_0_2213,i_0_2244,i_0_1851,i_0_1672,i_0_1660,i_0_2044,i_0_1893,i_0_2149,i_0_2229,i_0_2108,i_0_2232,i_0_2353,i_0_2126,i_0_1981,i_0_2014,i_0_1987,i_0_2026,i_0_1885,i_0_1887,i_0_1966,i_0_1674,i_0_1426,i_0_942,i_0_1350,i_0_2310,i_0_2312,i_0_2314,i_0_2325,i_0_2327,i_0_2329,i_0_2343,i_0_1408,i_0_1799,i_0_1797,i_0_1796,i_0_2056,i_0_2062,i_0_2064,i_0_2073,i_0_2075,i_0_2077,i_0_2079,i_0_2094,i_0_2018,i_0_2301,i_0_2355,i_0_2360,i_0_1969,i_0_2304,i_0_2306,i_0_2308,i_0_2318,i_0_2320,i_0_2322,i_0_2331,i_0_2333,i_0_2335,i_0_2337,i_0_2339,i_0_2054,i_0_1780,i_0_1979,i_0_2066,i_0_2152,i_0_1975,i_0_1977,i_0_2069,i_0_2102,i_0_1908,i_0_2031,i_0_1702,i_0_1200,i_0_1684,i_0_1197,i_0_1181,i_0_1507,i_0_1508,i_0_1477,i_0_1393,i_0_2316,i_0_1345,i_0_1718,i_0_1929,i_0_2172,i_0_2175,i_0_2188,i_0_2235,i_0_2238,i_0_2247,i_0_2110,i_0_2254,i_0_2257,i_0_2260,i_0_1916,i_0_2162,i_0_2266,i_0_2117,i_0_1954,i_0_2155,i_0_2203,i_0_2206,i_0_2251,i_0_2273,i_0_1962,i_0_1818,i_0_1820,i_0_1822,i_0_1824,i_0_1208,i_0_1355,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_1383,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_876,i_0_1038,i_0_1039,i_0_1088,i_0_1239,i_0_1240,i_0_1241,i_0_1075,i_0_1101,i_0_1254,i_0_1255,i_0_1256,i_0_1286,i_0_1257,i_0_1258,i_0_1040,i_0_1041,i_0_1076,i_0_1392,i_0_946,i_0_1335,i_0_1225,i_0_1227,i_0_1337,i_0_1236,i_0_1521,i_0_1579,i_0_1150,i_0_1097,i_0_864,i_0_887,i_0_1167,i_0_1175,i_0_1192,i_0_1135,i_0_1146,i_0_1148,i_0_1142,i_0_1144,i_0_1252,i_0_1159,i_0_934,i_0_1170,i_0_1053,i_0_1164,i_0_1171,i_0_1180,i_0_1172,i_0_1115,i_0_819,i_0_794,i_0_1596,i_0_1601,i_0_1602,i_0_1589,i_0_1587,i_0_1588,i_0_1522,i_0_1591,i_0_1595,i_0_1600,i_0_1603,i_0_1608,i_0_1609,i_0_1610,i_0_1611,i_0_1612,i_0_1613,i_0_1614,i_0_1592,i_0_1593,i_0_1597,i_0_1598,i_0_1201,i_0_1202,i_0_786,i_0_790,i_0_811,i_0_1157,i_0_979,i_0_952,i_0_1429,i_0_1368,i_0_948,i_0_1073,i_0_808,i_0_824,i_0_834,i_0_980,i_0_1184]) ).
cnf(i_0_2393,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(X2,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),X1,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(rename_variables,[],[i_0_2069]) ).
cnf(i_0_2394,plain,
( c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4),X4)
| ~ class_Lattices_Oupper__semilattice(X4)
| ~ c_lessequals(X1,X2,X4) ),
inference(rename_variables,[],[i_0_1184]) ).
cnf(i_0_2395,plain,
c_Message_Osko__Message__Xparts__singleton__1__1(c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg),X1) = X1,
inference(scs_inference,[],[i_0_2196,i_0_1054]) ).
cnf(i_0_2396,plain,
c_in(c_Message_Osko__Message__Xparts__singleton__1__1(c_Set_Oinsert(X1,X2,tc_Message_Omsg),X1),c_Set_Oinsert(X1,X2,tc_Message_Omsg),tc_Message_Omsg),
inference(rename_variables,[],[i_0_2196]) ).
cnf(i_0_2397,plain,
( ~ c_in(X1,c_Set_Oinsert(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X3),X3)
| X1 = X2 ),
inference(rename_variables,[],[i_0_1054]) ).
cnf(i_0_2398,plain,
~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_fun(tc_Message_Omsg,tc_bool)),c_Message_Oparts(c_Orderings_Obot__class_Obot(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_2196,i_0_2120,i_0_1054,i_0_978]) ).
cnf(i_0_2399,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool))
| ~ c_lessequals(X1,c_Lattices_Oupper__semilattice__class_Osup(X2,X4,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool)) ),
inference(rename_variables,[],[i_0_978]) ).
cnf(i_0_2400,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(X1,hAPP(c_Message_Omsg_OKey,v_K)),X2),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2196,i_0_2104,i_0_2120,i_0_1054,i_0_978,i_0_1215]) ).
cnf(i_0_2401,plain,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_1215]) ).
cnf(i_0_2402,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(X2,hAPP(c_Message_Omsg_OKey,v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2196,i_0_2104,i_0_2120,i_0_1054,i_0_978,i_0_1215,i_0_1216]) ).
cnf(i_0_2403,plain,
( 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) ),
inference(rename_variables,[],[i_0_1216]) ).
cnf(i_0_2404,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X7),X8,X9),X10,X11),X12),
inference(scs_inference,[],[i_0_2196,i_0_2104,i_0_2161,i_0_2120,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369]) ).
cnf(i_0_2405,plain,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
inference(rename_variables,[],[i_0_1369]) ).
cnf(i_0_2406,plain,
~ c_in(X1,c_Set_Oimage(X2,c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X7),X8,X9),X10,X11),X11),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2161,i_0_2120,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830]) ).
cnf(i_0_2407,plain,
~ c_in(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7,X8),X9),
inference(rename_variables,[],[i_0_2144]) ).
cnf(i_0_2408,plain,
( c_in(hAPP(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),X5),X1,X3)
| ~ c_in(X5,c_Set_Oimage(X2,X1,X3,X4),X4) ),
inference(rename_variables,[],[i_0_830]) ).
cnf(i_0_2409,plain,
~ c_in(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)),X4,X5),X6,X7),X8),c_Set_Oimage(c_Orderings_Otop__class_Otop(tc_fun(X9,tc_bool)),X10,X11,X12),X12),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_2161,i_0_2120,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832]) ).
cnf(i_0_2410,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X2) != hAPP(c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X7),X8,X9),X10),
inference(rename_variables,[],[i_0_2323]) ).
cnf(i_0_2411,plain,
( hAPP(X1,hAPP(c_Hilbert__Choice_Oinv__into(X2,X1,X3,X4),X5)) = X5
| ~ c_in(X5,c_Set_Oimage(X1,X2,X3,X4),X4) ),
inference(rename_variables,[],[i_0_832]) ).
cnf(i_0_2412,plain,
c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X1,X2,X3,X4),c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(X2,X1,X3,X4),X5,tc_fun(X4,tc_bool)),X6,tc_fun(X4,tc_bool)),X7,tc_fun(X4,tc_bool)),X8,tc_fun(X4,tc_bool)),X4,X3),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845]) ).
cnf(i_0_2413,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2202]) ).
cnf(i_0_2414,plain,
( ~ c_lessequals(X1,c_Set_Oimage(X2,X3,X4,X5),tc_fun(X5,tc_bool))
| c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(X3,X2,X4,X5),X1,X5,X4) ),
inference(rename_variables,[],[i_0_845]) ).
cnf(i_0_2415,plain,
~ c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X1,X2),X3),X4),X5),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1912,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259]) ).
cnf(i_0_2416,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_1259]) ).
cnf(i_0_2417,plain,
~ c_in(c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(X2,X3),X4),X5)),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1912,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260]) ).
cnf(i_0_2418,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_1260]) ).
cnf(i_0_2419,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Set_Ovimage(X4,c_Orderings_Obot__class_Obot(tc_fun(X5,tc_bool)),X6,X7),X8,X9),X10,X11),X12,X13),X14)),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1912,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841]) ).
cnf(i_0_2420,plain,
~ hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Set_Ovimage(X3,c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X5,X6),X7,X8),X9,X10),X11)),
inference(rename_variables,[],[i_0_2161]) ).
cnf(i_0_2421,plain,
( hBOOL(hAPP(X1,hAPP(X2,X3)))
| ~ hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_841]) ).
cnf(i_0_2422,plain,
c_lessequals(c_Set_Ovimage(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),X4,tc_Message_Omsg),c_Set_Ovimage(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),X4,tc_Message_Omsg),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872]) ).
cnf(i_0_2423,plain,
( ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| c_lessequals(c_Set_Ovimage(X4,X1,X5,X3),c_Set_Ovimage(X4,X2,X5,X3),tc_fun(X5,tc_bool)) ),
inference(rename_variables,[],[i_0_872]) ).
cnf(i_0_2424,plain,
c_lessequals(c_Set_Oimage(X1,c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X2),X3,tc_Message_Omsg)),tc_Message_Omsg,X4),c_Set_Oimage(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg,X4),tc_fun(X4,tc_bool)),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874]) ).
cnf(i_0_2425,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_874]) ).
cnf(i_0_2426,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_Message_Omsg,tc_bool)),X5,tc_fun(tc_Message_Omsg,tc_bool)),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_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2171,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038]) ).
cnf(i_0_2427,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_Message_Omsg,tc_bool)),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_2171]) ).
cnf(i_0_2428,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_1038]) ).
cnf(i_0_2429,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(X4,X1,tc_fun(tc_Message_Omsg,tc_bool)),X5,tc_fun(tc_Message_Omsg,tc_bool)),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_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039]) ).
cnf(i_0_2430,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_Message_Omsg,tc_bool)),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_2171]) ).
cnf(i_0_2431,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_1039]) ).
cnf(i_0_2432,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))),c_Message_Oparts(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_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239]) ).
cnf(i_0_2433,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_1239]) ).
cnf(i_0_2434,plain,
c_lessequals(c_Message_Osynth(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))),c_Message_Osynth(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_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240]) ).
cnf(i_0_2435,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_1240]) ).
cnf(i_0_2436,plain,
c_lessequals(c_Message_Oanalz(c_Message_Oparts(c_Set_Oinsert(c_Message_Omsg_OAgent(X1),X2,tc_Message_Omsg))),c_Message_Oanalz(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_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241]) ).
cnf(i_0_2437,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_1241]) ).
cnf(i_0_2438,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Set_Ovimage(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X4,X5),X6,X7),X8)),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_1923,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241,i_0_876]) ).
cnf(i_0_2439,plain,
hBOOL(hAPP(c_Set_Ovimage(X1,c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)),X3,X4),X5)),
inference(rename_variables,[],[i_0_1923]) ).
cnf(i_0_2440,plain,
( ~ hBOOL(hAPP(X1,hAPP(X2,X3)))
| hBOOL(hAPP(c_Set_Ovimage(X2,X1,X4,X5),X3)) ),
inference(rename_variables,[],[i_0_876]) ).
cnf(i_0_2441,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X7,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_1923,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_2413,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241,i_0_876,i_0_1040]) ).
cnf(i_0_2442,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2202]) ).
cnf(i_0_2443,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X2,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1040]) ).
cnf(i_0_2444,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X7,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)),
inference(scs_inference,[],[i_0_2144,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_1923,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_2413,i_0_2442,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241,i_0_876,i_0_1040,i_0_1041]) ).
cnf(i_0_2445,plain,
c_lessequals(c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4,tc_fun(X3,tc_bool)),X5,tc_fun(X3,tc_bool)),X6,tc_fun(X3,tc_bool)),X1,tc_fun(X3,tc_bool)),
inference(rename_variables,[],[i_0_2202]) ).
cnf(i_0_2446,plain,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,tc_fun(X4,tc_bool)),tc_fun(X4,tc_bool))
| c_lessequals(X1,X3,tc_fun(X4,tc_bool)) ),
inference(rename_variables,[],[i_0_1041]) ).
cnf(i_0_2447,plain,
~ c_in(c_Event_Oevent_OSays(X1,X2,v_X),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(scs_inference,[],[i_0_2144,i_0_2123,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_1923,i_0_2171,i_0_2427,i_0_2161,i_0_2120,i_0_2202,i_0_2413,i_0_2442,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241,i_0_876,i_0_1040,i_0_1041,i_0_1075]) ).
cnf(i_0_2448,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_1075]) ).
cnf(i_0_2449,plain,
c_in(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(X1,X4,tc_Message_Omsg),X5,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_2144,i_0_2123,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_1923,i_0_2171,i_0_2427,i_0_2430,i_0_2161,i_0_2120,i_0_2202,i_0_2413,i_0_2442,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241,i_0_876,i_0_1040,i_0_1041,i_0_1075,i_0_1101]) ).
cnf(i_0_2450,plain,
c_lessequals(X1,c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,c_Lattices_Oupper__semilattice__class_Osup(X3,c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(tc_Message_Omsg,tc_bool)),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_2171]) ).
cnf(i_0_2451,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_1101]) ).
cnf(i_0_2452,plain,
$false,
inference(scs_inference,[],[i_0_1367,i_0_2144,i_0_2123,i_0_2196,i_0_2104,i_0_2323,i_0_1692,i_0_1912,i_0_1923,i_0_2171,i_0_2427,i_0_2430,i_0_2161,i_0_2120,i_0_2202,i_0_2413,i_0_2442,i_0_1054,i_0_978,i_0_1215,i_0_1216,i_0_1369,i_0_830,i_0_832,i_0_845,i_0_1259,i_0_1260,i_0_841,i_0_872,i_0_874,i_0_1038,i_0_1039,i_0_1239,i_0_1240,i_0_1241,i_0_876,i_0_1040,i_0_1041,i_0_1075,i_0_1101,i_0_1254]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV733-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n007.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 05:52:54 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.78/1.66 % Version : CSE_E---1.7
% 1.78/1.66 % Problem : theBenchmark.p
% 1.78/1.66 % SZS status Unsatisfiable for theBenchmark.p
% 1.78/1.66 % SZS output start CNFRefutation
% See solution above
% 7.74/7.63 % Total time : 1.326s
%------------------------------------------------------------------------------