%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV811-1 : 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 : n015.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 05:27:27 PM UTC 2026
% Result : Unsatisfiable 0.57s 1.68s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_556)
% 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_knows__imp__Says__Gets__Notes__initState_0,axiom,
( c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
cnf(cls_knows__Nil_0,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
file('/export/starexec/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_priK__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_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,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_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_shrK__in__initState_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,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_Issues__def_2,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(X2,X3,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X2,X3,X1,X4)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(X4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_OIssues(X2,X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Issues__def_2) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Issues__def_3,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4)
| c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(X1,X2,X5),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(X4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X5),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Issues__def_3) ).
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(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(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(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(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_secrecy__lemma_0,axiom,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X1,X3,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
cnf(cls_B__trusts__NS5__lemma_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).
cnf(cls_B__trusts__NS3_0,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X1,X2,X3,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
cnf(cls_unique__session__keys_0,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
cnf(cls_unique__session__keys_1,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
cnf(cls_unique__session__keys_2,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
cnf(cls_unique__session__keys_3,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X1))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
cnf(cls_Spy__not__see__encrypted__key_0,axiom,
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X1,X5,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__not__see__encrypted__key_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(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(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_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(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(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_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(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_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(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_NS4__implies__NS3_0,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_NS4__implies__NS3_0) ).
cnf(cls_A__trusts__NS4__lemma_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4__lemma_0) ).
cnf(cls_A__trusts__NS4_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X3,X6,X5),hAPP(c_Message_Omsg_OKey,X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS4_0) ).
cnf(cls_A__trusts__NS2_0,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(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(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_image__image_0,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_image__image_0) ).
cnf(cls_takeWhile__cong_2,axiom,
( c_List_OtakeWhile(X1,X2,X3) = c_List_OtakeWhile(X4,X2,X3)
| ~ hBOOL(hAPP(X4,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3)))
| ~ hBOOL(hAPP(X1,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__cong_2) ).
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(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(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_Says__Server__message__form_1,axiom,
( X1 = c_Message_Omsg_OCrypt(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_Says__Server__message__form_2,axiom,
( X1 = 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_Issues__def_1,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X2,X3,X1,X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_OIssues(X2,X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Issues__def_1) ).
cnf(cls_A__trusts__NS5_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS5_0) ).
cnf(cls_analz__image__freshK__lemma_4,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
cnf(cls_analz__image__freshK__lemma_3,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(X3),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBC__def_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBB__def_0) ).
cnf(cls_COMBB__def_0,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_A__authenticates__and__keydist__to__B_0,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__authenticates__and__keydist__to__B_0) ).
cnf(cls_B__trusts__NS5_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X3,X5),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X3,X5),hAPP(c_Message_Omsg_OKey,X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5_0) ).
cnf(cls_takeWhile__cong_1,axiom,
( c_List_OtakeWhile(X1,X2,X3) = c_List_OtakeWhile(X4,X2,X3)
| hBOOL(hAPP(X4,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3)))
| hBOOL(hAPP(X1,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__cong_1) ).
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_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(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(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(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(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_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_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(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_Issues__def_0,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Issues__def_0) ).
cnf(cls_analz__mono__contra_I1_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(X3,X4,X5),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_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_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_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_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_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_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_B__Issues__A_0,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__Issues__A_0) ).
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_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_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_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_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_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_analz__mono__contra_I3_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_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_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__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_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_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_spies__Says__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Says__rev_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_in__set__conv__decomp__first_2,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__conv__decomp__first_2) ).
cnf(cls_in__set__conv__decomp__last_2,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__conv__decomp__last_2) ).
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_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_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_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_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_in__set__conv__decomp_1,axiom,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_in__set__conv__decomp_1) ).
cnf(cls_ns__shared_OFake_0,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,X1,X2),X3,tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3))),tc_Message_Omsg)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/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_takeWhile__cong_0,axiom,
( c_List_OtakeWhile(X1,X2,X3) = c_List_OtakeWhile(X4,X2,X3)
| c_in(c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3),c_List_Oset(X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__cong_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_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_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_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_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_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_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_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_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_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_spies__Notes__rev_0,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Notes__rev_0) ).
cnf(cls_Fake__parts__insert_0,axiom,
( c_lessequals(c_Message_Oparts(c_Set_Oinsert(X1,X2,tc_Message_Omsg)),c_Lattices_Oupper__semilattice__class_Osup(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
cnf(cls_parts__spies__takeWhile__mono_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),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__spies__takeWhile__mono_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_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_append1__eq__conv_0,axiom,
( X1 = X4
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_0) ).
cnf(cls_append1__eq__conv_1,axiom,
( X2 = X5
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append1__eq__conv_1) ).
cnf(cls_set__ConsD_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| X1 = X4
| ~ c_in(X1,c_List_Oset(c_List_Olist_OCons(X4,X2,X3),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__ConsD_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__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_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_set__takeWhileD_0,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X4,X2,X3),X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__takeWhileD_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_spies__Notes__rev_1,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Notes__rev_1) ).
cnf(cls_Crypt__synth__analz_0,axiom,
( c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
cnf(cls_set__takeWhileD_1,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_List_Oset(c_List_OtakeWhile(X1,X3,X4),X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__takeWhileD_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_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_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_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_rev__eq__Cons__iff_1,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_1) ).
cnf(cls_takeWhile__tail_0,axiom,
( c_List_OtakeWhile(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5) = c_List_OtakeWhile(X1,X2,X5)
| hBOOL(hAPP(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__tail_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_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_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_spies__Gets__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__Gets__rev_0) ).
cnf(cls_analz__image__freshK__simps_I61_J_0,axiom,
( c_in(X1,c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X2,X3,tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg) ),
file('/export/starexec/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_takeWhile__eq__all__conv_2,axiom,
( c_List_OtakeWhile(X1,X2,X3) = X2
| ~ hBOOL(hAPP(X1,c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X1,X2,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_2) ).
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_knows__subset__knows__Gets_0,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
cnf(cls_UnE_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(X4,X2,tc_fun(X3,tc_bool)),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_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_knows__Spy__subset__knows__Spy__Gets_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_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_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_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(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_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_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_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_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_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_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_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_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_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_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_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_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_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_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_takeWhile__append1_0,axiom,
( c_List_OtakeWhile(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_OtakeWhile(X1,X2,X4)
| hBOOL(hAPP(X1,X5))
| ~ c_in(X5,c_List_Oset(X2,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__append1_0) ).
cnf(cls_takeWhile_Osimps_I2_J_0,axiom,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_0) ).
cnf(cls_insert__subset_1,axiom,
( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
| ~ c_lessequals(c_Set_Oinsert(X4,X1,X3),X2,tc_fun(X3,tc_bool)) ),
file('/export/starexec/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_analz__shrK__Decrypt_0,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(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_Spy__analz__shrK_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,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_Spy__see__shrK_0,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,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_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_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_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_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_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__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_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__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_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_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_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_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_spies__takeWhile_0,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__takeWhile_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_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_append__eq__append__conv2_4,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_4) ).
cnf(cls_append__assoc_0,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__assoc_0) ).
cnf(cls_append__eq__Cons__conv_5,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_5) ).
cnf(cls_append__Cons_0,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Cons_0) ).
cnf(cls_append__eq__append__conv2_5,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__append__conv2_5) ).
cnf(cls_append__eq__appendI_0,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__appendI_0) ).
cnf(cls_Cons__eq__append__conv_5,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_5) ).
cnf(cls_Cons__eq__appendI_0,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__appendI_0) ).
cnf(cls_insert__commute_0,axiom,
c_Set_Oinsert(X1,c_Set_Oinsert(X2,X3,X4),X4) = c_Set_Oinsert(X2,c_Set_Oinsert(X1,X3,X4),X4),
file('/export/starexec/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_rev_Osimps_I2_J_0,axiom,
c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev_Osimps_I2_J_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_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_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_Spy__analz__shrK_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,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_Spy__see__shrK_1,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,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_rev__eq__Cons__iff_0,axiom,
( X1 = c_List_Oappend(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__eq__Cons__iff_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_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_Spy__spies__bad__privateKey_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_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_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_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_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_parts__spies__evs__revD2_0,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__spies__evs__revD2_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_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_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_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__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_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__Gets_0,axiom,
( c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| X1 = c_Message_Oagent_OSpy ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
cnf(cls_set__append_0,axiom,
c_List_Oset(c_List_Oappend(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X1,X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__append_0) ).
cnf(cls_knows__Notes_0,axiom,
c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Notes_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_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_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_takeWhile__eq__all__conv_0,axiom,
( hBOOL(hAPP(X1,X4))
| c_List_OtakeWhile(X1,X2,X3) != X2
| ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_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_takeWhile__eq__all__conv_1,axiom,
( c_List_OtakeWhile(X1,X2,X3) = X2
| c_in(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X1,X2,X3),c_List_Oset(X2,X3),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile__eq__all__conv_1) ).
cnf(cls_Gets__imp__knows__agents_0,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
cnf(cls_le__funD_0,axiom,
( c_lessequals(hAPP(X2,X3),hAPP(X4,X3),X1)
| ~ class_HOL_Oord(X1)
| ~ c_lessequals(X2,X4,tc_fun(X5,X1)) ),
file('/export/starexec/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_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_rev__append_0,axiom,
c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__append_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_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_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_append__eq__Cons__conv_4,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__eq__Cons__conv_4) ).
cnf(cls_Cons__eq__append__conv_4,axiom,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Cons__eq__append__conv_4) ).
cnf(cls_Notes__imp__used_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_ONotes(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__used_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_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_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_conjecture_2,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
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_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_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_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__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_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_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_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_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_privateKey__into__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_takeWhile_Osimps_I2_J_1,axiom,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I2_J_1) ).
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_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_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_rev__singleton__conv_1,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__singleton__conv_1) ).
cnf(cls_singleton__rev__conv_1,axiom,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__rev__conv_1) ).
cnf(cls_Spy__spies__bad__shrK_0,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,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_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_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_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_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_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_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_knows__Spy__Gets_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
cnf(cls_analz__spies__pubK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,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_singleton__rev__conv_0,axiom,
( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
| c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__rev__conv_0) ).
cnf(cls_rev__singleton__conv_0,axiom,
( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__singleton__conv_0) ).
cnf(cls_append__same__eq_0,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__same__eq_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_same__append__eq_0,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_same__append__eq_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_not__symKeys__priK_0,axiom,
~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__priK_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_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_ATP__Linkup_Ofequal__imp__equal_0,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_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_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_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_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_used__Gets_0,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_used__Gets_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_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_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_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_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_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_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_spies__pubK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,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_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_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_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_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_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_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_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_publicKey__into__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,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_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_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_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_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_not__symKeys__pubK_0,axiom,
~ c_in(c_Public_OpublicKey(X1,X2),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
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_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_shrK__in__knows_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,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_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_I4_J_0,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I4_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_event_Osimps_I5_J_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_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_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_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_append__is__Nil__conv_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_0) ).
cnf(cls_append__is__Nil__conv_1,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_1) ).
cnf(cls_Nil__is__append__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_0) ).
cnf(cls_Nil__is__append__conv_1,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_1) ).
cnf(cls_analz__synth_0,axiom,
c_Message_Oanalz(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__synth_0) ).
cnf(cls_parts__synth_0,axiom,
c_Message_Oparts(c_Message_Osynth(X1)) = c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__synth_0) ).
cnf(cls_shrK__in__used_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,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_neq__shrK_0,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neq__shrK_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_append__self__conv2_0,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__self__conv2_0) ).
cnf(cls_append__self__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__self__conv_0) ).
cnf(cls_self__append__conv_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_0) ).
cnf(cls_self__append__conv2_0,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_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_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_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_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_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_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_conjecture_1,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Server__not__bad_0,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
cnf(cls_Un__absorb_0,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
file('/export/starexec/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_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_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_append__is__Nil__conv_2,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__is__Nil__conv_2) ).
cnf(cls_Nil__is__append__conv_2,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__append__conv_2) ).
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_privateKey__neq__publicKey_0,axiom,
c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OpublicKey(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
cnf(cls_publicKey__neq__privateKey_0,axiom,
c_Public_OpublicKey(X1,X2) != c_Message_OinvKey(c_Public_OpublicKey(X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_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_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_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_takeWhile_Osimps_I1_J_0,axiom,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).
cnf(cls_sup__idem_0,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
file('/export/starexec/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_append__Nil_0,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil_0) ).
cnf(cls_append__Nil2_0,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_append__Nil2_0) ).
cnf(cls_self__append__conv2_1,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).
cnf(cls_eq__Nil__appendI_0,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eq__Nil__appendI_0) ).
cnf(cls_self__append__conv_1,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_self__append__conv_1) ).
cnf(cls_ns__shared_ONil_0,axiom,
c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
cnf(cls_sym__shrK_0,axiom,
c_in(c_Public_OshrK(X1),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
cnf(cls_set__rev_0,axiom,
c_List_Oset(c_List_Orev(X1,X2),X2) = c_List_Oset(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_set__rev_0) ).
cnf(cls_shrK__neq__priK_0,axiom,
c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OshrK(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
cnf(cls_priK__neq__shrK_0,axiom,
c_Public_OshrK(X1) != c_Message_OinvKey(c_Public_OpublicKey(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_priK__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_spies__evs__rev_0,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_spies__evs__rev_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_rev__is__rev__conv_0,axiom,
( X1 = X3
| c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__rev__conv_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_event_Osimps_I2_J_0,axiom,
( X1 = X3
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
cnf(cls_publicKey__inject_0,axiom,
( X1 = X3
| c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
cnf(cls_msg_Osimps_I7_J_0,axiom,
( X1 = X3
| c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OCrypt(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
cnf(cls_msg_Osimps_I6_J_0,axiom,
( X1 = X3
| c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OMPair(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
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_event_Osimps_I2_J_1,axiom,
( X2 = X4
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
cnf(cls_publicKey__inject_1,axiom,
( X2 = X4
| c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
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_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_event_Osimps_I9_J_0,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
cnf(cls_event_Osimps_I8_J_0,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
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_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_rev__swap_1,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__swap_1) ).
cnf(cls_rev__rev__ident_0,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__rev__ident_0) ).
cnf(cls_rev__swap_0,axiom,
X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__swap_0) ).
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__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__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__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__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_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(cls_rev__is__Nil__conv_0,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_0) ).
cnf(cls_Nil__is__rev__conv_0,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Orev(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_0) ).
cnf(cls_shrK__neq__pubK_0,axiom,
c_Public_OpublicKey(X1,X2) != c_Public_OshrK(X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__neq__pubK_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_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_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_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_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_pubK__neq__shrK_0,axiom,
c_Public_OshrK(X1) != c_Public_OpublicKey(X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_pubK__neq__shrK_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_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_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_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_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_rev__is__Nil__conv_1,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rev__is__Nil__conv_1) ).
cnf(cls_Nil__is__rev__conv_1,axiom,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).
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_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_shrK__injective_0,axiom,
( X1 = X2
| c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shrK__injective_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_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_invKey__shrK_0,axiom,
c_Message_OinvKey(c_Public_OshrK(X1)) = c_Public_OshrK(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__shrK_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_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_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_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_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_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_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_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__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_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_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__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_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(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_556,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_557,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_558,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_559,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_560,axiom,
( c_in(X1,c_Event_OinitState(X2),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
cls_knows__imp__Says__Gets__Notes__initState_0 ).
cnf(i_0_561,axiom,
c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)) = c_Event_OinitState(X1),
cls_knows__Nil_0 ).
cnf(i_0_562,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_563,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_564,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_OinitState(X2),tc_Message_Omsg),
cls_priK__in__initState_0 ).
cnf(i_0_565,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_566,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(X1,X2)),c_Event_OinitState(X3),tc_Message_Omsg),
cls_publicKey__in__initState_0 ).
cnf(i_0_567,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_568,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X1)),c_Event_OinitState(X1),tc_Message_Omsg),
cls_shrK__in__initState_0 ).
cnf(i_0_569,axiom,
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(X2,X3,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X2,X3,X1,X4)),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(X4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_OIssues(X2,X3,X1,X4) ),
cls_Issues__def_2,
[final] ).
cnf(i_0_570,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
cls_conjecture_4,
[final] ).
cnf(i_0_571,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4)
| c_in(X3,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(X1,X2,X5),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(X4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X3,c_Message_Oparts(c_Set_Oinsert(X5,c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X5),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Issues__def_3,
[final] ).
cnf(i_0_572,axiom,
( c_in(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(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(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_573,axiom,
( c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(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(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_574,axiom,
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1(X1,X3,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(X5,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),c_Message_Omsg_OAgent(X5)))))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_secrecy__lemma_0,
[final] ).
cnf(i_0_575,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_B__trusts__NS5__lemma_0,
[final] ).
cnf(i_0_576,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1(X1,X2,X3,X4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
cls_B__trusts__NS3_0,
[final] ).
cnf(i_0_577,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_0,
[final] ).
cnf(i_0_578,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X9),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_1,
[final] ).
cnf(i_0_579,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X7))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X6),X10))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_2,
[final] ).
cnf(i_0_580,axiom,
( X1 = X2
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(c_Public_OshrK(X4),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X8,c_Message_Omsg_OCrypt(c_Public_OshrK(X8),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X10),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X7),X1))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_unique__session__keys_3,
[final] ).
cnf(i_0_581,axiom,
( c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(X4,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1(X1,X5,X2),hAPP(c_Message_Omsg_OKey,X1)))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X4,c_Message_Omsg_OCrypt(X6,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X1),X7))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Spy__not__see__encrypted__key_0,
[final] ).
cnf(i_0_582,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(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_583,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(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_584,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(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_585,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(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_586,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(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_587,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(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_588,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X4,c_Message_Omsg_ONonce(X5)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X2))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_NS4__implies__NS3_0,
[final] ).
cnf(i_0_589,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
cls_A__trusts__NS4__lemma_0,
[final] ).
cnf(i_0_590,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1(X3,X6,X5),hAPP(c_Message_Omsg_OKey,X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_A__trusts__NS4_0,
[final] ).
cnf(i_0_591,axiom,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(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(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_592,axiom,
c_Set_Oimage(X1,c_Set_Oimage(X2,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X1,X2,X5,X6,X4),X3,X4,X6),
cls_image__image_0,
[final] ).
cnf(i_0_593,axiom,
( c_List_OtakeWhile(X1,X2,X3) = c_List_OtakeWhile(X4,X2,X3)
| ~ hBOOL(hAPP(X4,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3)))
| ~ hBOOL(hAPP(X1,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3))) ),
cls_takeWhile__cong_2,
[final] ).
cnf(i_0_594,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| X1 = c_Message_Omsg_OCrypt(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(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_595,axiom,
( X1 = c_Message_Omsg_OCrypt(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_596,axiom,
( X1 = 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_597,axiom,
( c_in(X1,c_Message_Oparts(c_Set_Oinsert(v_sko__NS__Shared__Mirabelle__XIssues__def__1(X2,X3,X1,X4),c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_NS__Shared__Mirabelle_OIssues(X2,X3,X1,X4) ),
cls_Issues__def_1,
[final] ).
cnf(i_0_598,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_A__trusts__NS5_0,
[final] ).
cnf(i_0_599,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_600,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(c_Message_Omsg_OKey,X2,tc_nat,tc_Message_Omsg),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_601,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
cls_ATP__Linkup_OCOMBC__def_0,
[final] ).
cnf(i_0_602,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
cls_COMBC__def_0,
[final] ).
cnf(i_0_603,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_ATP__Linkup_OCOMBB__def_0,
[final] ).
cnf(i_0_604,axiom,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X1,hAPP(X2,X6)),
cls_COMBB__def_0,
[final] ).
cnf(i_0_605,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_556,
[final] ).
cnf(i_0_606,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_557]),
[final] ).
cnf(i_0_607,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_558]),
[final] ).
cnf(i_0_608,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_559,
[final] ).
cnf(i_0_609,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X7)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_A__authenticates__and__keydist__to__B_0,
[final] ).
cnf(i_0_610,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X3,X5),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X3,X5),hAPP(c_Message_Omsg_OKey,X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
cls_B__trusts__NS5_0,
[final] ).
cnf(i_0_611,axiom,
( c_List_OtakeWhile(X1,X2,X3) = c_List_OtakeWhile(X4,X2,X3)
| hBOOL(hAPP(X4,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3)))
| hBOOL(hAPP(X1,c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3))) ),
cls_takeWhile__cong_1,
[final] ).
cnf(i_0_612,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_613,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(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_614,axiom,
( X1 = c_Message_Omsg_OCrypt(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(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_615,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(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_616,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_617,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(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_618,axiom,
( c_in(c_Event_Oevent_OSays(X1,X2,v_sko__NS__Shared__Mirabelle__XIssues__def__1(X1,X2,X3,X4)),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X2,X3,X4) ),
cls_Issues__def_0,
[final] ).
cnf(i_0_619,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_620,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_621,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_622,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_623,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_624,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_625,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_626,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_627,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_628,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_629,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_630,axiom,
( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4)),X5)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X2,c_Event_Obad,tc_Message_Oagent)
| c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_ONonce(X4))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
cls_B__Issues__A_0,
[final] ).
cnf(i_0_631,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_632,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_633,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_634,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_635,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_636,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_637,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_638,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_639,axiom,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent))),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_analz__mono__contra_I3_J_0,
[final] ).
cnf(i_0_640,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_641,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_642,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_643,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_644,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_645,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OSays(X2,X3,X4),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X4,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg),
cls_spies__Says__rev_0,
[final] ).
cnf(i_0_646,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_647,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_648,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_649,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_650,plain,
( X2 = c_Message_Oagent_OSpy
| c_in(X1,c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(X2,c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1(X2,X1,X3),X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg) ),
inference(rw,[status(thm)],[i_0_560,c_0_561]),
[final] ).
cnf(i_0_651,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X2,X4),X4) ),
cls_in__set__conv__decomp__first_2,
[final] ).
cnf(i_0_652,axiom,
( c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4)
| c_in(X1,c_List_Oset(X3,X4),X4) ),
cls_in__set__conv__decomp__last_2,
[final] ).
cnf(i_0_653,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_654,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_655,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_656,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_657,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_658,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_659,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_660,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_661,axiom,
c_in(X1,c_List_Oset(c_List_Oappend(X2,c_List_Olist_OCons(X1,X3,X4),X4),X4),X4),
cls_in__set__conv__decomp_1,
[final] ).
cnf(i_0_662,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_663,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_664,axiom,
( c_List_OtakeWhile(X1,X2,X3) = c_List_OtakeWhile(X4,X2,X3)
| c_in(c_List_Osko__List__XtakeWhile__cong__1__1(X1,X4,X2,X3),c_List_Oset(X2,X3),X3) ),
cls_takeWhile__cong_0,
[final] ).
cnf(i_0_665,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_666,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_667,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_668,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_669,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_670,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_671,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_672,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_673,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_674,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_675,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_676,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Set_Oinsert(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X1),tc_Message_Omsg)
| ~ c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
cls_spies__Notes__rev_0,
[final] ).
cnf(i_0_677,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_678,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__spies__takeWhile__mono_0,
[final] ).
cnf(i_0_679,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_680,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_681,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_682,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_683,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_684,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_685,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_686,axiom,
( X1 = X4
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
cls_append1__eq__conv_0,
[final] ).
cnf(i_0_687,axiom,
( X2 = X5
| c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3) ),
cls_append1__eq__conv_1,
[final] ).
cnf(i_0_688,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_689,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_690,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_691,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_692,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_693,axiom,
( c_in(X1,c_List_Oset(X2,X3),X3)
| ~ c_in(X1,c_List_Oset(c_List_OtakeWhile(X4,X2,X3),X3),X3) ),
cls_set__takeWhileD_0,
[final] ).
cnf(i_0_694,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_695,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_696,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_697,axiom,
( c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_ONotes(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1)
| c_in(X2,c_Event_Obad,tc_Message_Oagent) ),
cls_spies__Notes__rev_1,
[final] ).
cnf(i_0_698,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_699,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,c_List_Oset(c_List_OtakeWhile(X1,X3,X4),X4),X4) ),
cls_set__takeWhileD_1,
[final] ).
cnf(i_0_700,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_701,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_702,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_703,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_704,axiom,
c_List_Orev(c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2),X2) = c_List_Olist_OCons(X3,X1,X2),
cls_rev__eq__Cons__iff_1,
[final] ).
cnf(i_0_705,axiom,
( c_List_OtakeWhile(X1,c_List_Oappend(X2,c_List_Olist_OCons(X3,X4,X5),X5),X5) = c_List_OtakeWhile(X1,X2,X5)
| hBOOL(hAPP(X1,X3)) ),
cls_takeWhile__tail_0,
[final] ).
cnf(i_0_706,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_707,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_708,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_709,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_710,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_711,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_712,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_713,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_714,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Oappend(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X1),
cls_spies__Gets__rev_0,
[final] ).
cnf(i_0_715,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_716,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_717,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_718,axiom,
( c_List_OtakeWhile(X1,X2,X3) = X2
| ~ hBOOL(hAPP(X1,c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X1,X2,X3))) ),
cls_takeWhile__eq__all__conv_2,
[final] ).
cnf(i_0_719,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_720,axiom,
c_lessequals(c_Event_Oknows(X1,X2),c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X3,X4),X2,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_knows__subset__knows__Gets_0,
[final] ).
cnf(i_0_721,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_722,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_723,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,X1),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X2,X3),X1,tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_knows__Spy__subset__knows__Spy__Gets_0,
[final] ).
cnf(i_0_724,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_725,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_726,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_727,axiom,
( hBOOL(hAPP(X1,X2))
| X3 = X2
| ~ hBOOL(hAPP(c_Set_Oinsert(X3,X1,X4),X2)) ),
cls_insert__code_0,
[final] ).
cnf(i_0_728,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_729,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(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_730,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_731,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_732,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_733,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_734,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_735,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_736,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_737,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_738,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_739,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_740,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_741,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_742,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_743,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_744,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_745,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_746,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_747,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3,
[final] ).
cnf(i_0_748,axiom,
( c_List_OtakeWhile(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_OtakeWhile(X1,X2,X4)
| hBOOL(hAPP(X1,X5))
| ~ c_in(X5,c_List_Oset(X2,X4),X4) ),
cls_takeWhile__append1_0,
[final] ).
cnf(i_0_749,axiom,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_OCons(X2,c_List_OtakeWhile(X1,X3,X4),X4)
| ~ hBOOL(hAPP(X1,X2)) ),
cls_takeWhile_Osimps_I2_J_0,
[final] ).
cnf(i_0_750,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_751,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_752,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_753,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_754,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_755,axiom,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X3)),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_analz__shrK__Decrypt_0,
[final] ).
cnf(i_0_756,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,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_757,axiom,
( c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(hAPP(c_Message_Omsg_OKey,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_758,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_759,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_760,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_761,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_762,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_763,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_764,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_765,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_766,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_767,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_768,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_769,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_770,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_771,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_772,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_773,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_774,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_775,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_776,axiom,
c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X1,X2,tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_fun(tc_Message_Omsg,tc_bool)),
cls_spies__takeWhile_0,
[final] ).
cnf(i_0_777,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_778,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_779,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_780,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_781,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_782,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_783,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__eq__append__conv2_4,
[final] ).
cnf(i_0_784,axiom,
c_List_Oappend(c_List_Oappend(X1,X2,X3),X4,X3) = c_List_Oappend(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__assoc_0,
[final] ).
cnf(i_0_785,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__eq__Cons__conv_5,
[final] ).
cnf(i_0_786,axiom,
c_List_Oappend(c_List_Olist_OCons(X1,X2,X3),X4,X3) = c_List_Olist_OCons(X1,c_List_Oappend(X2,X4,X3),X3),
cls_append__Cons_0,
[final] ).
cnf(i_0_787,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
cls_append__eq__append__conv2_5,
[final] ).
cnf(i_0_788,axiom,
c_List_Oappend(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Oappend(X1,X2,X4),X3,X4),
cls_append__eq__appendI_0,
[final] ).
cnf(i_0_789,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
cls_Cons__eq__append__conv_5,
[final] ).
cnf(i_0_790,axiom,
c_List_Olist_OCons(X1,c_List_Oappend(X2,X3,X4),X4) = c_List_Oappend(c_List_Olist_OCons(X1,X2,X4),X3,X4),
cls_Cons__eq__appendI_0,
[final] ).
cnf(i_0_791,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_792,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_793,axiom,
c_List_Orev(c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3),
cls_rev_Osimps_I2_J_0,
[final] ).
cnf(i_0_794,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_795,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_796,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_797,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_798,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_799,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_800,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_801,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,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_802,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,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_803,axiom,
( X1 = c_List_Oappend(c_List_Orev(X4,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,X4,X2) ),
cls_rev__eq__Cons__iff_0,
[final] ).
cnf(i_0_804,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_805,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_806,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_807,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_808,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_809,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_810,axiom,
( hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X4))
| ~ hBOOL(hAPP(X2,X4)) ),
cls_insert__code_2,
[final] ).
cnf(i_0_811,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_812,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_813,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_814,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_815,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_816,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_817,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_818,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_819,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_820,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_821,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_822,axiom,
c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__spies__evs__revD2_0,
[final] ).
cnf(i_0_823,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_824,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_825,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_826,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_827,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_828,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_829,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_830,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_562,c_0_561]),
[final] ).
cnf(i_0_831,axiom,
( c_Event_Oknows(X1,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Set_Oinsert(X2,c_Event_Oknows(X1,X3),tc_Message_Omsg)
| X1 = c_Message_Oagent_OSpy ),
cls_knows__Gets_0,
[final] ).
cnf(i_0_832,axiom,
c_List_Oset(c_List_Oappend(X1,X2,X3),X3) = c_Lattices_Oupper__semilattice__class_Osup(c_List_Oset(X1,X3),c_List_Oset(X2,X3),tc_fun(X3,tc_bool)),
cls_set__append_0,
[final] ).
cnf(i_0_833,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_834,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insert__iff_2,
[final] ).
cnf(i_0_835,axiom,
( c_in(X1,c_Set_Oinsert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
cls_insertCI_0,
[final] ).
cnf(i_0_836,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_837,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_838,axiom,
( hBOOL(hAPP(X1,X4))
| c_List_OtakeWhile(X1,X2,X3) != X2
| ~ c_in(X4,c_List_Oset(X2,X3),X3) ),
cls_takeWhile__eq__all__conv_0,
[final] ).
cnf(i_0_839,axiom,
hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
cls_insert__code_1,
[final] ).
cnf(i_0_840,axiom,
( c_List_OtakeWhile(X1,X2,X3) = X2
| c_in(c_List_Osko__List__XtakeWhile__eq__all__conv__1__1(X1,X2,X3),c_List_Oset(X2,X3),X3) ),
cls_takeWhile__eq__all__conv_1,
[final] ).
cnf(i_0_841,axiom,
( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
| X2 = c_Message_Oagent_OSpy
| ~ c_in(c_Event_Oevent_OGets(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Gets__imp__knows__agents_0,
[final] ).
cnf(i_0_842,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_843,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_844,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_845,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_846,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_847,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_563,c_0_561]),
[final] ).
cnf(i_0_848,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_849,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_850,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_851,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_852,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_853,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_854,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_855,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_856,axiom,
c_List_Orev(c_List_Oappend(X1,X2,X3),X3) = c_List_Oappend(c_List_Orev(X2,X3),c_List_Orev(X1,X3),X3),
cls_rev__append_0,
[final] ).
cnf(i_0_857,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_858,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_859,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_860,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_564,c_0_561]),
[final] ).
cnf(i_0_861,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_862,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_863,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_OCons(X2,X3,X1),X1) = c_List_Olist_OCons(X2,X3,X1),
cls_append__eq__Cons__conv_4,
[final] ).
cnf(i_0_864,axiom,
c_List_Olist_OCons(X1,X2,X3) = c_List_Oappend(c_List_Olist_ONil(X3),c_List_Olist_OCons(X1,X2,X3),X3),
cls_Cons__eq__append__conv_4,
[final] ).
cnf(i_0_865,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_866,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_867,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_868,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_869,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_870,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_871,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
cls_conjecture_2,
[final] ).
cnf(i_0_872,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_873,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_874,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_875,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0,
[final] ).
cnf(i_0_876,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_877,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_878,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_879,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_880,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_881,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_882,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_883,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_565,c_0_561]),
[final] ).
cnf(i_0_884,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_885,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_886,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_887,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_888,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_889,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_890,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_891,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_892,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(c_Public_OpublicKey(X1,X2))),c_Event_Oused(X3),tc_Message_Omsg),
cls_privateKey__into__used_0,
[final] ).
cnf(i_0_893,axiom,
( c_List_OtakeWhile(X1,c_List_Olist_OCons(X2,X3,X4),X4) = c_List_Olist_ONil(X4)
| hBOOL(hAPP(X1,X2)) ),
cls_takeWhile_Osimps_I2_J_1,
[final] ).
cnf(i_0_894,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_895,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_896,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_897,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_898,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_899,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_900,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_901,axiom,
c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),
cls_rev__singleton__conv_1,
[final] ).
cnf(i_0_902,axiom,
c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) = c_List_Orev(c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2),
cls_singleton__rev__conv_1,
[final] ).
cnf(i_0_903,axiom,
( c_in(hAPP(c_Message_Omsg_OKey,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_904,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_905,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_906,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_907,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_908,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_909,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_910,axiom,
c_lessequals(X1,c_Set_Oinsert(X2,X1,X3),tc_fun(X3,tc_bool)),
cls_subset__insertI_0,
[final] ).
cnf(i_0_911,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_912,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_913,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_914,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_915,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_916,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oknows(c_Message_Oagent_OSpy,X3),
cls_knows__Spy__Gets_0,
[final] ).
cnf(i_0_917,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(X1,X2)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg),
cls_analz__spies__pubK_0,
[final] ).
cnf(i_0_918,axiom,
( X3 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
| c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X3,X2) ),
cls_singleton__rev__conv_0,
[final] ).
cnf(i_0_919,axiom,
( X1 = c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2)
| c_List_Orev(X1,X2) != c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2) ),
cls_rev__singleton__conv_0,
[final] ).
cnf(i_0_920,axiom,
( X1 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X4,X2,X3) ),
cls_append__same__eq_0,
[final] ).
cnf(i_0_921,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_922,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_923,axiom,
( X2 = X4
| c_List_Oappend(X1,X2,X3) != c_List_Oappend(X1,X4,X3) ),
cls_same__append__eq_0,
[final] ).
cnf(i_0_924,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_925,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_926,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_927,axiom,
~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),c_Message_OsymKeys,tc_nat),
cls_not__symKeys__priK_0,
[final] ).
cnf(i_0_928,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_929,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_930,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_931,axiom,
( X1 = X2
| ~ hBOOL(hAPP(hAPP(c_fequal(X3),X1),X2)) ),
cls_ATP__Linkup_Ofequal__imp__equal_0,
[final] ).
cnf(i_0_932,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_933,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_934,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_935,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_936,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_ex__in__conv_0,
[final] ).
cnf(i_0_937,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_empty__iff_0,
[final] ).
cnf(i_0_938,axiom,
~ c_in(X1,c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),
cls_emptyE_0,
[final] ).
cnf(i_0_939,axiom,
c_Event_Oused(c_List_Olist_OCons(c_Event_Oevent_OGets(X1,X2),X3,tc_Event_Oevent)) = c_Event_Oused(X3),
cls_used__Gets_0,
[final] ).
cnf(i_0_940,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_941,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_942,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insert__iff_1,
[final] ).
cnf(i_0_943,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertI1_0,
[final] ).
cnf(i_0_944,axiom,
c_in(X1,c_Set_Oinsert(X1,X2,X3),X3),
cls_insertCI_1,
[final] ).
cnf(i_0_945,plain,
c_in(hAPP(c_Message_Omsg_OKey,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_566,c_0_561]),
[final] ).
cnf(i_0_946,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_947,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_948,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_949,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_950,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_951,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(X1,X2)),c_Event_Oknows(c_Message_Oagent_OSpy,X3),tc_Message_Omsg),
cls_spies__pubK_0,
[final] ).
cnf(i_0_952,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_953,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_954,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_955,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_956,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_957,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_958,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_959,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_960,axiom,
( c_Set_Oinsert(X1,X2,X3) = X2
| ~ c_in(X1,X2,X3) ),
cls_insert__absorb_0,
[final] ).
cnf(i_0_961,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_962,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OpublicKey(X1,X2)),c_Event_Oused(X3),tc_Message_Omsg),
cls_publicKey__into__used_0,
[final] ).
cnf(i_0_963,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_567,c_0_561]),
[final] ).
cnf(i_0_964,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_965,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_966,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_967,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_968,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_969,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_970,axiom,
~ c_in(c_Public_OpublicKey(X1,X2),c_Message_OsymKeys,tc_nat),
cls_not__symKeys__pubK_0,
[final] ).
cnf(i_0_971,plain,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X1)),c_Event_Oknows(X1,c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
inference(rw,[status(thm)],[i_0_568,c_0_561]),
[final] ).
cnf(i_0_972,axiom,
( c_lessequals(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_linorder__linear_0,
[final] ).
cnf(i_0_973,axiom,
( hBOOL(hAPP(X1,X2))
| ~ c_in(X2,X1,X3) ),
cls_mem__def_0,
[final] ).
cnf(i_0_974,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_975,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_976,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X1)),c_Event_Oknows(X1,X2),tc_Message_Omsg),
cls_shrK__in__knows_0,
[final] ).
cnf(i_0_977,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_978,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_ONotes(X4,X5),
cls_event_Osimps_I6_J_0,
[final] ).
cnf(i_0_979,axiom,
c_Event_Oevent_OSays(X1,X2,X3) != c_Event_Oevent_OGets(X4,X5),
cls_event_Osimps_I4_J_0,
[final] ).
cnf(i_0_980,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
cls_event_Osimps_I7_J_0,
[final] ).
cnf(i_0_981,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OSays(X3,X4,X5),
cls_event_Osimps_I5_J_0,
[final] ).
cnf(i_0_982,axiom,
hBOOL(hAPP(hAPP(c_fequal(X1),X2),X2)),
cls_ATP__Linkup_Oequal__imp__fequal_0,
[final] ).
cnf(i_0_983,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_984,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_985,axiom,
( c_in(X1,X2,X3)
| ~ hBOOL(hAPP(X2,X1)) ),
cls_mem__def_1,
[final] ).
cnf(i_0_986,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_append__is__Nil__conv_0,
[final] ).
cnf(i_0_987,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != c_List_Olist_ONil(X3) ),
cls_append__is__Nil__conv_1,
[final] ).
cnf(i_0_988,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
cls_Nil__is__append__conv_0,
[final] ).
cnf(i_0_989,axiom,
( X3 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Oappend(X2,X3,X1) ),
cls_Nil__is__append__conv_1,
[final] ).
cnf(i_0_990,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_991,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_992,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
cls_shrK__in__used_0,
[final] ).
cnf(i_0_993,axiom,
c_in(hAPP(c_Message_Omsg_OKey,c_Public_OshrK(X1)),c_Event_Oused(X2),tc_Message_Omsg),
cls_neq__shrK_0,
[final] ).
cnf(i_0_994,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_995,axiom,
( X1 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X2 ),
cls_append__self__conv2_0,
[final] ).
cnf(i_0_996,axiom,
( X2 = c_List_Olist_ONil(X3)
| c_List_Oappend(X1,X2,X3) != X1 ),
cls_append__self__conv_0,
[final] ).
cnf(i_0_997,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X1,X2,X3) ),
cls_self__append__conv_0,
[final] ).
cnf(i_0_998,axiom,
( X2 = c_List_Olist_ONil(X3)
| X1 != c_List_Oappend(X2,X1,X3) ),
cls_self__append__conv2_0,
[final] ).
cnf(i_0_999,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_neq__Nil__conv_1,
[final] ).
cnf(i_0_1000,axiom,
c_List_Olist_OCons(X1,X2,X3) != c_List_Olist_ONil(X3),
cls_list_Osimps_I3_J_0,
[final] ).
cnf(i_0_1001,axiom,
c_List_Olist_ONil(X1) != c_List_Olist_OCons(X2,X3,X1),
cls_list_Osimps_I2_J_0,
[final] ).
cnf(i_0_1002,axiom,
c_List_Olist_OCons(X1,X2,X3) != X2,
cls_not__Cons__self2_0,
[final] ).
cnf(i_0_1003,axiom,
X1 != c_List_Olist_OCons(X2,X1,X3),
cls_not__Cons__self_0,
[final] ).
cnf(i_0_1004,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_1005,axiom,
( c_Message_OinvKey(X1) = X1
| ~ c_in(X1,c_Message_OsymKeys,tc_nat) ),
cls_invKey__K_0,
[final] ).
cnf(i_0_1006,axiom,
c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_synth__increasing_0,
[final] ).
cnf(i_0_1007,axiom,
c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_analz__increasing_0,
[final] ).
cnf(i_0_1008,axiom,
c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
cls_parts__increasing_0,
[final] ).
cnf(i_0_1009,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_1,
[final] ).
cnf(i_0_1010,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_0,
[final] ).
cnf(i_0_1011,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
cls_Server__not__bad_0,
[final] ).
cnf(i_0_1012,axiom,
c_Lattices_Oupper__semilattice__class_Osup(X1,X1,tc_fun(X2,tc_bool)) = X1,
cls_Un__absorb_0,
[final] ).
cnf(i_0_1013,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_subset__refl_0,
[final] ).
cnf(i_0_1014,axiom,
c_lessequals(X1,X1,tc_fun(X2,tc_bool)),
cls_equalityE_0,
[final] ).
cnf(i_0_1015,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_1016,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_1017,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_append__is__Nil__conv_2,
[final] ).
cnf(i_0_1018,axiom,
c_List_Olist_ONil(X1) = c_List_Oappend(c_List_Olist_ONil(X1),c_List_Olist_ONil(X1),X1),
cls_Nil__is__append__conv_2,
[final] ).
cnf(i_0_1019,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_1020,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_1021,axiom,
c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OpublicKey(X3,X4),
cls_privateKey__neq__publicKey_0,
[final] ).
cnf(i_0_1022,axiom,
c_Public_OpublicKey(X1,X2) != c_Message_OinvKey(c_Public_OpublicKey(X3,X4)),
cls_publicKey__neq__privateKey_0,
[final] ).
cnf(i_0_1023,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_1024,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_1025,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
cls_bot__least_0,
[final] ).
cnf(i_0_1026,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_synth_OAgent_0,
[final] ).
cnf(i_0_1027,axiom,
c_in(c_Message_Omsg_OAgent(X1),c_Message_Osynth(X2),tc_Message_Omsg),
cls_Agent__synth_0,
[final] ).
cnf(i_0_1028,axiom,
c_List_OtakeWhile(X1,c_List_Olist_ONil(X2),X2) = c_List_Olist_ONil(X2),
cls_takeWhile_Osimps_I1_J_0,
[final] ).
cnf(i_0_1029,axiom,
( c_Lattices_Oupper__semilattice__class_Osup(X2,X2,X1) = X2
| ~ class_Lattices_Oupper__semilattice(X1) ),
cls_sup__idem_0,
[final] ).
cnf(i_0_1030,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Opreorder(X1) ),
cls_order__eq__refl_0,
[final] ).
cnf(i_0_1031,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_order__eq__iff_0,
[final] ).
cnf(i_0_1032,axiom,
c_List_Oappend(c_List_Olist_ONil(X1),X2,X1) = X2,
cls_append__Nil_0,
[final] ).
cnf(i_0_1033,axiom,
c_List_Oappend(X1,c_List_Olist_ONil(X2),X2) = X1,
cls_append__Nil2_0,
[final] ).
cnf(i_0_1034,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_self__append__conv2_1,
[final] ).
cnf(i_0_1035,axiom,
X1 = c_List_Oappend(c_List_Olist_ONil(X2),X1,X2),
cls_eq__Nil__appendI_0,
[final] ).
cnf(i_0_1036,axiom,
X1 = c_List_Oappend(X1,c_List_Olist_ONil(X2),X2),
cls_self__append__conv_1,
[final] ).
cnf(i_0_1037,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_1038,axiom,
c_in(c_Public_OshrK(X1),c_Message_OsymKeys,tc_nat),
cls_sym__shrK_0,
[final] ).
cnf(i_0_1039,axiom,
c_List_Oset(c_List_Orev(X1,X2),X2) = c_List_Oset(X1,X2),
cls_set__rev_0,
[final] ).
cnf(i_0_1040,axiom,
c_Message_OinvKey(c_Public_OpublicKey(X1,X2)) != c_Public_OshrK(X3),
cls_shrK__neq__priK_0,
[final] ).
cnf(i_0_1041,axiom,
c_Public_OshrK(X1) != c_Message_OinvKey(c_Public_OpublicKey(X2,X3)),
cls_priK__neq__shrK_0,
[final] ).
cnf(i_0_1042,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
cls_Spy__in__bad_0,
[final] ).
cnf(i_0_1043,axiom,
c_Event_Oknows(c_Message_Oagent_OSpy,X1) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X1,tc_Event_Oevent)),
cls_spies__evs__rev_0,
[final] ).
cnf(i_0_1044,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_1045,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_1046,axiom,
( X1 = X3
| c_List_Orev(X1,X2) != c_List_Orev(X3,X2) ),
cls_rev__is__rev__conv_0,
[final] ).
cnf(i_0_1047,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_1048,axiom,
( X1 = X3
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
cls_event_Osimps_I2_J_0,
[final] ).
cnf(i_0_1049,axiom,
( X1 = X3
| c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
cls_publicKey__inject_0,
[final] ).
cnf(i_0_1050,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_1051,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_1052,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_1053,axiom,
( X2 = X4
| c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_OGets(X3,X4) ),
cls_event_Osimps_I2_J_1,
[final] ).
cnf(i_0_1054,axiom,
( X2 = X4
| c_Public_OpublicKey(X1,X2) != c_Public_OpublicKey(X3,X4) ),
cls_publicKey__inject_1,
[final] ).
cnf(i_0_1055,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_1056,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_1057,axiom,
c_Event_Oevent_ONotes(X1,X2) != c_Event_Oevent_OGets(X3,X4),
cls_event_Osimps_I9_J_0,
[final] ).
cnf(i_0_1058,axiom,
c_Event_Oevent_OGets(X1,X2) != c_Event_Oevent_ONotes(X3,X4),
cls_event_Osimps_I8_J_0,
[final] ).
cnf(i_0_1059,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OMPair(X3,X4),
cls_msg_Osimps_I49_J_0,
[final] ).
cnf(i_0_1060,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OCrypt(X3,X4),
cls_msg_Osimps_I48_J_0,
[final] ).
cnf(i_0_1061,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I42_J_0,
[final] ).
cnf(i_0_1062,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I40_J_0,
[final] ).
cnf(i_0_1063,axiom,
c_Message_Omsg_OCrypt(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I43_J_0,
[final] ).
cnf(i_0_1064,axiom,
c_Message_Omsg_OMPair(X1,X2) != hAPP(c_Message_Omsg_OKey,X3),
cls_msg_Osimps_I41_J_0,
[final] ).
cnf(i_0_1065,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_1066,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
cls_rev__swap_1,
[final] ).
cnf(i_0_1067,axiom,
c_List_Orev(c_List_Orev(X1,X2),X2) = X1,
cls_rev__rev__ident_0,
[final] ).
cnf(i_0_1068,axiom,
X1 = c_List_Orev(c_List_Orev(X1,X2),X2),
cls_rev__swap_0,
[final] ).
cnf(i_0_1069,axiom,
( class_Orderings_Opreorder(tc_fun(X1,X2))
| ~ class_Orderings_Opreorder(X2) ),
clsarity_fun__Orderings_Opreorder,
[final] ).
cnf(i_0_1070,axiom,
( class_Orderings_Oorder(tc_fun(X1,X2))
| ~ class_Orderings_Oorder(X2) ),
clsarity_fun__Orderings_Oorder,
[final] ).
cnf(i_0_1071,axiom,
( class_Orderings_Obot(tc_fun(X1,X2))
| ~ class_Orderings_Obot(X2) ),
clsarity_fun__Orderings_Obot,
[final] ).
cnf(i_0_1072,axiom,
( class_HOL_Oord(tc_fun(X1,X2))
| ~ class_HOL_Oord(X2) ),
clsarity_fun__HOL_Oord,
[final] ).
cnf(i_0_1073,axiom,
( class_Lattices_Obounded__lattice(tc_fun(X1,X2))
| ~ class_Lattices_Obounded__lattice(X2) ),
clsarity_fun__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1074,axiom,
( class_Lattices_Oupper__semilattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1075,axiom,
( class_Lattices_Olattice(tc_fun(X1,X2))
| ~ class_Lattices_Olattice(X2) ),
clsarity_fun__Lattices_Olattice,
[final] ).
cnf(i_0_1076,axiom,
( X1 = c_List_Olist_ONil(X2)
| c_List_Orev(X1,X2) != c_List_Olist_ONil(X2) ),
cls_rev__is__Nil__conv_0,
[final] ).
cnf(i_0_1077,axiom,
( X2 = c_List_Olist_ONil(X1)
| c_List_Olist_ONil(X1) != c_List_Orev(X2,X1) ),
cls_Nil__is__rev__conv_0,
[final] ).
cnf(i_0_1078,axiom,
c_Public_OpublicKey(X1,X2) != c_Public_OshrK(X3),
cls_shrK__neq__pubK_0,
[final] ).
cnf(i_0_1079,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_OAgent(X3),
cls_msg_Osimps_I19_J_0,
[final] ).
cnf(i_0_1080,axiom,
c_Message_Omsg_OCrypt(X1,X2) != c_Message_Omsg_ONonce(X3),
cls_msg_Osimps_I37_J_0,
[final] ).
cnf(i_0_1081,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_OAgent(X3),
cls_msg_Osimps_I17_J_0,
[final] ).
cnf(i_0_1082,axiom,
c_Message_Omsg_OMPair(X1,X2) != c_Message_Omsg_ONonce(X3),
cls_msg_Osimps_I35_J_0,
[final] ).
cnf(i_0_1083,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I18_J_0,
[final] ).
cnf(i_0_1084,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I16_J_0,
[final] ).
cnf(i_0_1085,axiom,
c_Public_OshrK(X1) != c_Public_OpublicKey(X2,X3),
cls_pubK__neq__shrK_0,
[final] ).
cnf(i_0_1086,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OCrypt(X2,X3),
cls_msg_Osimps_I36_J_0,
[final] ).
cnf(i_0_1087,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OMPair(X2,X3),
cls_msg_Osimps_I34_J_0,
[final] ).
cnf(i_0_1088,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I13_J_0,
[final] ).
cnf(i_0_1089,axiom,
hAPP(c_Message_Omsg_OKey,X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I31_J_0,
[final] ).
cnf(i_0_1090,axiom,
c_Message_Omsg_OAgent(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I12_J_0,
[final] ).
cnf(i_0_1091,axiom,
c_Message_Omsg_ONonce(X1) != hAPP(c_Message_Omsg_OKey,X2),
cls_msg_Osimps_I30_J_0,
[final] ).
cnf(i_0_1092,axiom,
c_List_Orev(c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
cls_rev__is__Nil__conv_1,
[final] ).
cnf(i_0_1093,axiom,
c_List_Olist_ONil(X1) = c_List_Orev(c_List_Olist_ONil(X1),X1),
cls_Nil__is__rev__conv_1,
[final] ).
cnf(i_0_1094,axiom,
( X1 = X2
| c_Message_OinvKey(X1) != c_Message_OinvKey(X2) ),
cls_invKey__eq_0,
[final] ).
cnf(i_0_1095,axiom,
( X1 = X2
| c_Message_Omsg_OAgent(X1) != c_Message_Omsg_OAgent(X2) ),
cls_msg_Osimps_I1_J_0,
[final] ).
cnf(i_0_1096,axiom,
( X1 = X2
| c_Public_OshrK(X1) != c_Public_OshrK(X2) ),
cls_shrK__injective_0,
[final] ).
cnf(i_0_1097,axiom,
( X1 = X2
| c_Message_Omsg_ONonce(X1) != c_Message_Omsg_ONonce(X2) ),
cls_msg_Osimps_I3_J_0,
[final] ).
cnf(i_0_1098,axiom,
c_Message_Osynth(c_Message_Osynth(X1)) = c_Message_Osynth(X1),
cls_synth__idem_0,
[final] ).
cnf(i_0_1099,axiom,
c_Message_OinvKey(c_Public_OshrK(X1)) = c_Public_OshrK(X1),
cls_invKey__shrK_0,
[final] ).
cnf(i_0_1100,axiom,
c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
cls_analz__idem_0,
[final] ).
cnf(i_0_1101,axiom,
c_Message_Oanalz(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_analz__parts_0,
[final] ).
cnf(i_0_1102,axiom,
c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
cls_parts__analz_0,
[final] ).
cnf(i_0_1103,axiom,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
cls_parts__idem_0,
[final] ).
cnf(i_0_1104,axiom,
c_Message_Omsg_OAgent(X1) != c_Message_Omsg_ONonce(X2),
cls_msg_Osimps_I10_J_0,
[final] ).
cnf(i_0_1105,axiom,
c_Message_Omsg_ONonce(X1) != c_Message_Omsg_OAgent(X2),
cls_msg_Osimps_I11_J_0,
[final] ).
cnf(i_0_1106,axiom,
c_Message_OinvKey(c_Message_OinvKey(X1)) = X1,
cls_invKey_0,
[final] ).
cnf(i_0_1107,axiom,
c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
cls_ns__sharedp_ONil_0,
[final] ).
cnf(i_0_1108,axiom,
class_Orderings_Olinorder(tc_nat),
clsarity_nat__Orderings_Olinorder,
[final] ).
cnf(i_0_1109,axiom,
class_Orderings_Opreorder(tc_nat),
clsarity_nat__Orderings_Opreorder,
[final] ).
cnf(i_0_1110,axiom,
class_Orderings_Opreorder(tc_bool),
clsarity_bool__Orderings_Opreorder,
[final] ).
cnf(i_0_1111,axiom,
class_Orderings_Oorder(tc_nat),
clsarity_nat__Orderings_Oorder,
[final] ).
cnf(i_0_1112,axiom,
class_Orderings_Oorder(tc_bool),
clsarity_bool__Orderings_Oorder,
[final] ).
cnf(i_0_1113,axiom,
class_Orderings_Obot(tc_nat),
clsarity_nat__Orderings_Obot,
[final] ).
cnf(i_0_1114,axiom,
class_Orderings_Obot(tc_bool),
clsarity_bool__Orderings_Obot,
[final] ).
cnf(i_0_1115,axiom,
class_HOL_Oord(tc_nat),
clsarity_nat__HOL_Oord,
[final] ).
cnf(i_0_1116,axiom,
class_HOL_Oord(tc_bool),
clsarity_bool__HOL_Oord,
[final] ).
cnf(i_0_1117,axiom,
class_Lattices_Obounded__lattice(tc_bool),
clsarity_bool__Lattices_Obounded__lattice,
[final] ).
cnf(i_0_1118,axiom,
class_Lattices_Oupper__semilattice(tc_nat),
clsarity_nat__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1119,axiom,
class_Lattices_Oupper__semilattice(tc_bool),
clsarity_bool__Lattices_Oupper__semilattice,
[final] ).
cnf(i_0_1120,axiom,
class_Lattices_Olattice(tc_nat),
clsarity_nat__Lattices_Olattice,
[final] ).
cnf(i_0_1121,axiom,
class_Lattices_Olattice(tc_bool),
clsarity_bool__Lattices_Olattice,
[final] ).
cnf(i_0_1122,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
cls_agent_Osimps_I5_J_0,
[final] ).
cnf(i_0_1123,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
cls_agent_Osimps_I4_J_0,
[final] ).
cnf(i_0_1124,axiom,
X1 = X1 ).
cnf(i_0_1125,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1126,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1127,axiom,
( X1 != X2
| c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).
cnf(i_0_1128,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).
cnf(i_0_1129,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).
cnf(i_0_1130,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).
cnf(i_0_1131,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).
cnf(i_0_1132,axiom,
( X1 != X2
| c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).
cnf(i_0_1133,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1134,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1135,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1136,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1137,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1138,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_1139,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_1140,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1141,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1142,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1143,axiom,
( X1 != X2
| c_Public_OshrK(X1) = c_Public_OshrK(X2) ) ).
cnf(i_0_1144,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_1145,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_1146,axiom,
( X1 != X2
| c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).
cnf(i_0_1147,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1148,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1149,axiom,
( X1 != X2
| c_Event_Oused(X1) = c_Event_Oused(X2) ) ).
cnf(i_0_1150,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).
cnf(i_0_1151,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).
cnf(i_0_1152,axiom,
( X1 != X2
| c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).
cnf(i_0_1153,axiom,
( X1 != X2
| c_List_OtakeWhile(X1,X3,X4) = c_List_OtakeWhile(X2,X3,X4) ) ).
cnf(i_0_1154,axiom,
( X1 != X2
| c_List_OtakeWhile(X3,X1,X4) = c_List_OtakeWhile(X3,X2,X4) ) ).
cnf(i_0_1155,axiom,
( X1 != X2
| c_List_OtakeWhile(X3,X4,X1) = c_List_OtakeWhile(X3,X4,X2) ) ).
cnf(i_0_1156,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1157,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1158,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1159,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1160,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1161,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1162,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1163,axiom,
( X1 != X2
| c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).
cnf(i_0_1164,axiom,
( X1 != X2
| c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).
cnf(i_0_1165,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).
cnf(i_0_1166,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).
cnf(i_0_1167,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1168,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1169,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1170,axiom,
( X1 != X2
| c_Public_OpublicKey(X1,X3) = c_Public_OpublicKey(X2,X3) ) ).
cnf(i_0_1171,axiom,
( X1 != X2
| c_Public_OpublicKey(X3,X1) = c_Public_OpublicKey(X3,X2) ) ).
cnf(i_0_1172,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_1173,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_1174,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_1175,axiom,
( X1 != X2
| c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).
cnf(i_0_1176,axiom,
( X1 != X2
| c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).
cnf(i_0_1177,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1178,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1179,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1180,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1181,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1182,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1183,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1184,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X3,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X2,X3,X4,X5) ) ).
cnf(i_0_1185,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X1,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X2,X4,X5) ) ).
cnf(i_0_1186,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X1,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X2,X5) ) ).
cnf(i_0_1187,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X1)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X2) ) ).
cnf(i_0_1188,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1189,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1190,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1191,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1192,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1193,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1194,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1195,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1196,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1124_001,axiom,
X1 = X1 ).
cnf(i_0_1125_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_1126_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_1127_004,axiom,
( X1 != X2
| c_Message_Oparts(X1) = c_Message_Oparts(X2) ) ).
cnf(i_0_1128_005,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X1,X3) = c_Message_Omsg_OCrypt(X2,X3) ) ).
cnf(i_0_1129_006,axiom,
( X1 != X2
| c_Message_Omsg_OCrypt(X3,X1) = c_Message_Omsg_OCrypt(X3,X2) ) ).
cnf(i_0_1130_007,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X1,X3) = c_Message_Omsg_OMPair(X2,X3) ) ).
cnf(i_0_1131_008,axiom,
( X1 != X2
| c_Message_Omsg_OMPair(X3,X1) = c_Message_Omsg_OMPair(X3,X2) ) ).
cnf(i_0_1132_009,axiom,
( X1 != X2
| c_Message_Omsg_ONonce(X1) = c_Message_Omsg_ONonce(X2) ) ).
cnf(i_0_1133_010,axiom,
( X1 != X2
| c_List_Olist_ONil(X1) = c_List_Olist_ONil(X2) ) ).
cnf(i_0_1134_011,axiom,
( X1 != X2
| c_Set_Oinsert(X1,X3,X4) = c_Set_Oinsert(X2,X3,X4) ) ).
cnf(i_0_1135_012,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X1,X4) = c_Set_Oinsert(X3,X2,X4) ) ).
cnf(i_0_1136_013,axiom,
( X1 != X2
| c_Set_Oinsert(X3,X4,X1) = c_Set_Oinsert(X3,X4,X2) ) ).
cnf(i_0_1137_014,axiom,
( X1 != X2
| c_Orderings_Obot__class_Obot(X1) = c_Orderings_Obot__class_Obot(X2) ) ).
cnf(i_0_1138_015,axiom,
( X1 != X2
| c_List_Oset(X1,X3) = c_List_Oset(X2,X3) ) ).
cnf(i_0_1139_016,axiom,
( X1 != X2
| c_List_Oset(X3,X1) = c_List_Oset(X3,X2) ) ).
cnf(i_0_1140_017,axiom,
( X1 != X2
| c_List_Olist_OCons(X1,X3,X4) = c_List_Olist_OCons(X2,X3,X4) ) ).
cnf(i_0_1141_018,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X1,X4) = c_List_Olist_OCons(X3,X2,X4) ) ).
cnf(i_0_1142_019,axiom,
( X1 != X2
| c_List_Olist_OCons(X3,X4,X1) = c_List_Olist_OCons(X3,X4,X2) ) ).
cnf(i_0_1143_020,axiom,
( X1 != X2
| c_Public_OshrK(X1) = c_Public_OshrK(X2) ) ).
cnf(i_0_1144_021,axiom,
( X1 != X2
| c_Event_Oknows(X1,X3) = c_Event_Oknows(X2,X3) ) ).
cnf(i_0_1145_022,axiom,
( X1 != X2
| c_Event_Oknows(X3,X1) = c_Event_Oknows(X3,X2) ) ).
cnf(i_0_1146_023,axiom,
( X1 != X2
| c_Message_Omsg_OAgent(X1) = c_Message_Omsg_OAgent(X2) ) ).
cnf(i_0_1147_024,axiom,
( X1 != X2
| hAPP(X1,X3) = hAPP(X2,X3) ) ).
cnf(i_0_1148_025,axiom,
( X1 != X2
| hAPP(X3,X1) = hAPP(X3,X2) ) ).
cnf(i_0_1149_026,axiom,
( X1 != X2
| c_Event_Oused(X1) = c_Event_Oused(X2) ) ).
cnf(i_0_1150_027,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X1,X3) = c_Event_Oevent_ONotes(X2,X3) ) ).
cnf(i_0_1151_028,axiom,
( X1 != X2
| c_Event_Oevent_ONotes(X3,X1) = c_Event_Oevent_ONotes(X3,X2) ) ).
cnf(i_0_1152_029,axiom,
( X1 != X2
| c_Message_Oanalz(X1) = c_Message_Oanalz(X2) ) ).
cnf(i_0_1153_030,axiom,
( X1 != X2
| c_List_OtakeWhile(X1,X3,X4) = c_List_OtakeWhile(X2,X3,X4) ) ).
cnf(i_0_1154_031,axiom,
( X1 != X2
| c_List_OtakeWhile(X3,X1,X4) = c_List_OtakeWhile(X3,X2,X4) ) ).
cnf(i_0_1155_032,axiom,
( X1 != X2
| c_List_OtakeWhile(X3,X4,X1) = c_List_OtakeWhile(X3,X4,X2) ) ).
cnf(i_0_1156_033,axiom,
( X1 != X2
| c_Set_Oimage(X1,X3,X4,X5) = c_Set_Oimage(X2,X3,X4,X5) ) ).
cnf(i_0_1157_034,axiom,
( X1 != X2
| c_Set_Oimage(X3,X1,X4,X5) = c_Set_Oimage(X3,X2,X4,X5) ) ).
cnf(i_0_1158_035,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X1,X5) = c_Set_Oimage(X3,X4,X2,X5) ) ).
cnf(i_0_1159_036,axiom,
( X1 != X2
| c_Set_Oimage(X3,X4,X5,X1) = c_Set_Oimage(X3,X4,X5,X2) ) ).
cnf(i_0_1160_037,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X1,X3,X4) = c_Lattices_Oupper__semilattice__class_Osup(X2,X3,X4) ) ).
cnf(i_0_1161_038,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X1,X4) = c_Lattices_Oupper__semilattice__class_Osup(X3,X2,X4) ) ).
cnf(i_0_1162_039,axiom,
( X1 != X2
| c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X1) = c_Lattices_Oupper__semilattice__class_Osup(X3,X4,X2) ) ).
cnf(i_0_1163_040,axiom,
( X1 != X2
| c_Message_Osynth(X1) = c_Message_Osynth(X2) ) ).
cnf(i_0_1164_041,axiom,
( X1 != X2
| c_Message_OinvKey(X1) = c_Message_OinvKey(X2) ) ).
cnf(i_0_1165_042,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X1,X3) = c_Event_Oevent_OGets(X2,X3) ) ).
cnf(i_0_1166_043,axiom,
( X1 != X2
| c_Event_Oevent_OGets(X3,X1) = c_Event_Oevent_OGets(X3,X2) ) ).
cnf(i_0_1167_044,axiom,
( X1 != X2
| c_List_Oappend(X1,X3,X4) = c_List_Oappend(X2,X3,X4) ) ).
cnf(i_0_1168_045,axiom,
( X1 != X2
| c_List_Oappend(X3,X1,X4) = c_List_Oappend(X3,X2,X4) ) ).
cnf(i_0_1169_046,axiom,
( X1 != X2
| c_List_Oappend(X3,X4,X1) = c_List_Oappend(X3,X4,X2) ) ).
cnf(i_0_1170_047,axiom,
( X1 != X2
| c_Public_OpublicKey(X1,X3) = c_Public_OpublicKey(X2,X3) ) ).
cnf(i_0_1171_048,axiom,
( X1 != X2
| c_Public_OpublicKey(X3,X1) = c_Public_OpublicKey(X3,X2) ) ).
cnf(i_0_1172_049,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X1,X3,X4) = c_Event_Oevent_OSays(X2,X3,X4) ) ).
cnf(i_0_1173_050,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X1,X4) = c_Event_Oevent_OSays(X3,X2,X4) ) ).
cnf(i_0_1174_051,axiom,
( X1 != X2
| c_Event_Oevent_OSays(X3,X4,X1) = c_Event_Oevent_OSays(X3,X4,X2) ) ).
cnf(i_0_1175_052,axiom,
( X1 != X2
| c_List_Orev(X1,X3) = c_List_Orev(X2,X3) ) ).
cnf(i_0_1176_053,axiom,
( X1 != X2
| c_List_Orev(X3,X1) = c_List_Orev(X3,X2) ) ).
cnf(i_0_1177_054,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_1178_055,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_1179_056,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_1180_057,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_1181_058,axiom,
( X1 != X2
| ~ class_Orderings_Olinorder(X1)
| class_Orderings_Olinorder(X2) ) ).
cnf(i_0_1182_059,axiom,
( X1 != X2
| ~ class_Lattices_Obounded__lattice(X1)
| class_Lattices_Obounded__lattice(X2) ) ).
cnf(i_0_1183_060,axiom,
( X1 != X2
| ~ class_Orderings_Obot(X1)
| class_Orderings_Obot(X2) ) ).
cnf(i_0_1184_061,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X1,X3,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X2,X3,X4,X5) ) ).
cnf(i_0_1185_062,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X1,X4,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X2,X4,X5) ) ).
cnf(i_0_1186_063,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X1,X5)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X2,X5) ) ).
cnf(i_0_1187_064,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X1)
| c_NS__Shared__Mirabelle_OIssues(X3,X4,X5,X2) ) ).
cnf(i_0_1188_065,axiom,
( X1 != X2
| ~ c_NS__Shared__Mirabelle_Ons__sharedp(X1)
| c_NS__Shared__Mirabelle_Ons__sharedp(X2) ) ).
cnf(i_0_1189_066,axiom,
( X1 != X2
| ~ hBOOL(X1)
| hBOOL(X2) ) ).
cnf(i_0_1190_067,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_1191_068,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_1192_069,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_1193_070,axiom,
( X1 != X2
| ~ class_Lattices_Oupper__semilattice(X1)
| class_Lattices_Oupper__semilattice(X2) ) ).
cnf(i_0_1194_071,axiom,
( X1 != X2
| ~ class_Lattices_Olattice(X1)
| class_Lattices_Olattice(X2) ) ).
cnf(i_0_1195_072,axiom,
( X1 != X2
| ~ class_HOL_Oord(X1)
| class_HOL_Oord(X2) ) ).
cnf(i_0_1196_073,axiom,
( X1 != X2
| ~ class_Orderings_Opreorder(X1)
| class_Orderings_Opreorder(X2) ) ).
cnf(i_0_1197,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[646]) ).
cnf(i_0_1198,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[647]) ).
cnf(i_0_1199,plain,
( X1 = X2
| X2 = X2 ),
inference(equality_inference,[],[648]) ).
cnf(i_0_1200,plain,
( X1 = X2
| X1 = X1 ),
inference(equality_inference,[],[649]) ).
cnf(i_0_1201,plain,
X1 = X1,
inference(equality_inference,[],[686]) ).
cnf(i_0_1202,plain,
X1 = X1,
inference(equality_inference,[],[687]) ).
cnf(i_0_1203,plain,
X1 = X1,
inference(equality_inference,[],[770]) ).
cnf(i_0_1204,plain,
( X1 = X1
| c_in(X2,X1,X3)
| c_in(X2,X1,X3) ),
inference(equality_inference,[],[814]) ).
cnf(i_0_1205,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,[],[854]) ).
cnf(i_0_1206,plain,
X1 = X1,
inference(equality_inference,[],[920]) ).
cnf(i_0_1207,plain,
X1 = X1,
inference(equality_inference,[],[921]) ).
cnf(i_0_1208,plain,
X1 = X1,
inference(equality_inference,[],[922]) ).
cnf(i_0_1209,plain,
X1 = X1,
inference(equality_inference,[],[923]) ).
cnf(i_0_1210,plain,
X1 = X1,
inference(equality_inference,[],[924]) ).
cnf(i_0_1211,plain,
X1 = X1,
inference(equality_inference,[],[925]) ).
cnf(i_0_1212,plain,
X1 = X1,
inference(equality_inference,[],[926]) ).
cnf(i_0_1213,plain,
X1 = X1,
inference(equality_inference,[],[1046]) ).
cnf(i_0_1214,plain,
X1 = X1,
inference(equality_inference,[],[1047]) ).
cnf(i_0_1215,plain,
X1 = X1,
inference(equality_inference,[],[1048]) ).
cnf(i_0_1216,plain,
X1 = X1,
inference(equality_inference,[],[1049]) ).
cnf(i_0_1217,plain,
X1 = X1,
inference(equality_inference,[],[1050]) ).
cnf(i_0_1218,plain,
X1 = X1,
inference(equality_inference,[],[1051]) ).
cnf(i_0_1219,plain,
X1 = X1,
inference(equality_inference,[],[1052]) ).
cnf(i_0_1220,plain,
X1 = X1,
inference(equality_inference,[],[1053]) ).
cnf(i_0_1221,plain,
X1 = X1,
inference(equality_inference,[],[1054]) ).
cnf(i_0_1222,plain,
X1 = X1,
inference(equality_inference,[],[1055]) ).
cnf(i_0_1223,plain,
X1 = X1,
inference(equality_inference,[],[1056]) ).
cnf(i_0_1224,plain,
X1 = X1,
inference(equality_inference,[],[1065]) ).
cnf(i_0_1225,plain,
X1 = X1,
inference(equality_inference,[],[1094]) ).
cnf(i_0_1226,plain,
X1 = X1,
inference(equality_inference,[],[1095]) ).
cnf(i_0_1227,plain,
X1 = X1,
inference(equality_inference,[],[1096]) ).
cnf(i_0_1228,plain,
X1 = X1,
inference(equality_inference,[],[1097]) ).
cnf(i_0_1229,plain,
$false,
inference(scs_inference,[],[i_0_847,i_0_747,i_0_742]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV811-1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.13 % 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
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 06:01:01 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 0.57/1.68 % Version : CSE_E---1.7
% 0.57/1.68 % Problem : theBenchmark.p
% 0.57/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 0.57/1.68 % SZS output start CNFRefutation
% See solution above
% 0.60/1.74 % Total time : 1.328s
%------------------------------------------------------------------------------