TSTP Solution File: SWV762-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV762-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 05:42:18 EDT 2024

% Result   : Unsatisfiable 20.38s 2.92s
% Output   : CNFRefutation 20.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   49
% Syntax   : Number of clauses     :  191 (  84 unt;  14 nHn; 122 RR)
%            Number of literals    :  334 (  41 equ; 139 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   37 (  37 usr;  20 con; 0-3 aty)
%            Number of variables   :  378 (  77 sgn)

% Comments : 
%------------------------------------------------------------------------------
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_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

cnf(cls_equalityI_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equalityI_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_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_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_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_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_parts__idem_0,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__idem_0) ).

cnf(cls_parts__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_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))
    | ~ hBOOL(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_conjecture_4,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).

cnf(cls_conjecture_1,negated_conjecture,
    hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

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_synth_OInj_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_synth_OInj_0) ).

cnf(cls_parts__mono_0,axiom,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_parts__mono_0) ).

cnf(cls_synth__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_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_Fake__parts__insert__in__Un_0,axiom,
    ( hBOOL(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))
    | ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(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_Says__imp__parts__knows__Spy_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(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_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__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_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__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_Says__imp__analz__Spy_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(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_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_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_conjecture_3,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

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_analz__shrK__Decrypt_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).

cnf(cls_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_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_not__parts__not__analz_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
    | ~ hBOOL(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_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_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_Crypt__synth_1,axiom,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
    | ~ hBOOL(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_conjecture_2,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_MPair__synth__analz_1,axiom,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(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_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_insert__iff_2,axiom,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__iff_2) ).

cnf(cls_conjecture_0,negated_conjecture,
    hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_6,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_MPair__synth__analz_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(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_A__trusts__NS2_0,axiom,
    ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).

cnf(cls_Spy__see__shrK_0,axiom,
    ( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(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_Key__synth_0,axiom,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
    | ~ hBOOL(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_Spy__spies__bad__shrK_0,axiom,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).

cnf(c_0_49,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_Un__absorb1_0]) ).

cnf(c_0_50,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    inference(fof_simplification,[status(thm)],[cls_insert__absorb_0]) ).

cnf(c_0_51,plain,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_equalityI_0]) ).

cnf(c_0_52,plain,
    ( c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)) = X2
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_49 ).

cnf(c_0_53,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 ).

cnf(c_0_54,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    inference(fof_simplification,[status(thm)],[cls_sup1CI_1]) ).

cnf(c_0_55,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1 ).

cnf(c_0_56,plain,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    c_0_50 ).

cnf(c_0_57,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_Un__subset__iff_0]) ).

cnf(c_0_58,plain,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    c_0_51 ).

cnf(c_0_59,axiom,
    c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_parts__increasing_0 ).

cnf(c_0_60,plain,
    ( c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X2)
    | ~ c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_parts__idem_0 ).

cnf(c_0_62,plain,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    c_0_54 ).

cnf(c_0_63,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 ).

cnf(c_0_64,plain,
    ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Fake__analz__eq_0]) ).

cnf(c_0_65,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),tc_Message_Omsg)),
    cls_conjecture_4 ).

cnf(c_0_67,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[cls_mem__def_1]) ).

cnf(c_0_68,negated_conjecture,
    hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)),
    cls_conjecture_1 ).

cnf(c_0_69,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_predicate1D_0]) ).

cnf(c_0_70,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_synth_OInj_0]) ).

cnf(c_0_71,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_parts__mono_0]) ).

cnf(c_0_72,plain,
    ( c_lessequals(X1,X2,tc_fun(X3,tc_bool))
    | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(X1,X4,tc_fun(X3,tc_bool)),X2,tc_fun(X3,tc_bool)) ),
    c_0_57 ).

cnf(c_0_73,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 ).

cnf(c_0_74,plain,
    ( c_Message_Oparts(X1) = X1
    | ~ c_lessequals(c_Message_Oparts(X1),X1,tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_75,plain,
    c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oparts(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_61]) ).

cnf(c_0_76,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 ).

cnf(c_0_77,plain,
    ( hBOOL(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))
    | ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Fake__parts__insert__in__Un_0]) ).

cnf(c_0_78,plain,
    ( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[cls_Says__imp__parts__knows__Spy_0]) ).

cnf(c_0_79,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    inference(fof_simplification,[status(thm)],[cls_sup1E_0]) ).

cnf(c_0_80,plain,
    ( hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X1)),X2))
    | ~ hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_81,plain,
    ( c_Message_Osynth(c_Message_Oanalz(c_Set_Oinsert(X1,X2,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X2))
    | ~ hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    c_0_64 ).

cnf(c_0_82,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_parts__analz_0 ).

cnf(c_0_83,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_84,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 ).

cnf(c_0_85,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    c_0_67 ).

cnf(c_0_86,negated_conjecture,
    hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),v_Xa)),
    inference(spm,[status(thm)],[c_0_65,c_0_68]) ).

cnf(c_0_87,plain,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    c_0_69 ).

cnf(c_0_88,axiom,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_analz__increasing_0 ).

cnf(c_0_89,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
    c_0_70 ).

cnf(c_0_90,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[cls_Says__imp__analz__Spy_0]) ).

cnf(c_0_91,plain,
    ( c_lessequals(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_71 ).

cnf(c_0_92,plain,
    c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(tc_Message_Omsg,tc_bool))),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_93,plain,
    c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).

cnf(c_0_94,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))),
    inference(spm,[status(thm)],[c_0_63,c_0_61]) ).

cnf(c_0_95,axiom,
    c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_synth__increasing_0 ).

cnf(c_0_96,plain,
    ( hBOOL(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))
    | ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg)) ),
    c_0_77 ).

cnf(c_0_97,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 ).

cnf(c_0_98,plain,
    ( hBOOL(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
    c_0_78 ).

cnf(c_0_99,negated_conjecture,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    cls_conjecture_3 ).

cnf(c_0_100,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 ).

cnf(c_0_101,plain,
    ( hBOOL(hAPP(X1,X2))
    | hBOOL(hAPP(X3,X2))
    | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X3,X1,tc_fun(X4,tc_bool)),X2)) ),
    c_0_79 ).

cnf(c_0_102,plain,
    ( hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),X2))
    | ~ hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),X2))
    | ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

cnf(c_0_103,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_104,negated_conjecture,
    hBOOL(c_in(v_Xa,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1)),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_105,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_analz__shrK__Decrypt_0]) ).

cnf(c_0_106,plain,
    ( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_107,plain,
    ( hBOOL(hAPP(c_Message_Osynth(X1),X2))
    | ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_89]) ).

cnf(c_0_108,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(X3,X4,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)) ),
    c_0_90 ).

cnf(c_0_109,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 ).

cnf(c_0_110,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    cls_analz__idem_0 ).

cnf(c_0_111,plain,
    ( hBOOL(hAPP(c_Message_Oparts(X1),X2))
    | ~ c_lessequals(X3,X1,tc_fun(tc_Message_Omsg,tc_bool))
    | ~ hBOOL(hAPP(c_Message_Oparts(X3),X2)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_91]) ).

cnf(c_0_112,plain,
    c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(c_Message_Oparts(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_113,plain,
    c_Message_Oparts(c_Message_Osynth(c_Message_Oparts(X1))) = c_Message_Osynth(c_Message_Oparts(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_94]),c_0_95])]) ).

cnf(c_0_114,plain,
    ( hBOOL(c_in(X1,c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X2),c_Message_Osynth(c_Message_Oanalz(X2)),tc_fun(tc_Message_Omsg,tc_bool)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    inference(rw,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_115,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]) ).

cnf(c_0_116,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oparts(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),
    inference(spm,[status(thm)],[c_0_63,c_0_82]) ).

cnf(c_0_117,plain,
    ( hBOOL(hAPP(c_Message_Osynth(X1),X2))
    | hBOOL(hAPP(c_Message_Oparts(X1),X2))
    | ~ hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X1)),X2)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_63]) ).

cnf(c_0_118,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104])]) ).

cnf(c_0_119,plain,
    ( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_not__parts__not__analz_0]) ).

cnf(c_0_120,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1),c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    c_0_105 ).

cnf(c_0_121,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_106]) ).

cnf(c_0_122,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(X1)),X2))
    | ~ hBOOL(c_in(X2,c_Message_Oanalz(c_Set_Oinsert(X3,X1,tc_Message_Omsg)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_107,c_0_81]) ).

cnf(c_0_123,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_99]),c_0_100]) ).

cnf(c_0_124,plain,
    c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X1),c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)) = c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_125,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    inference(fof_simplification,[status(thm)],[cls_analz__subset__iff_0]) ).

cnf(c_0_126,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 ).

cnf(c_0_127,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(X1)),X2))
    | ~ hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X1)),X2)) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).

cnf(c_0_128,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),tc_Message_Omsg)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_104])]) ).

cnf(c_0_129,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Crypt__synth_1]) ).

cnf(c_0_130,negated_conjecture,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB))))
    | hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_82]) ).

cnf(c_0_131,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_132,plain,
    ( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    c_0_119 ).

cnf(c_0_133,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).

cnf(c_0_134,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_MPair__synth__analz_1]) ).

cnf(c_0_135,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X3)),c_Message_Oanalz(X2),tc_Message_Omsg))
    | ~ hBOOL(hAPP(X2,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),X1))) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_136,negated_conjecture,
    hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_104])]) ).

cnf(c_0_137,plain,
    c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))) = c_Message_Osynth(c_Message_Oanalz(X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_124]),c_0_95])]) ).

cnf(c_0_138,plain,
    ( c_lessequals(X1,c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool))
    | ~ c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_fun(tc_Message_Omsg,tc_bool)) ),
    c_0_125 ).

cnf(c_0_139,plain,
    c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(spm,[status(thm)],[c_0_126,c_0_109]) ).

cnf(c_0_140,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(X1)),X2))
    | ~ hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1))),X2)) ),
    inference(spm,[status(thm)],[c_0_127,c_0_82]) ).

cnf(c_0_141,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),
    inference(spm,[status(thm)],[c_0_65,c_0_128]) ).

cnf(c_0_142,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
    | hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),X2,tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X1,X3),c_Message_Osynth(X2),tc_Message_Omsg)) ),
    c_0_129 ).

cnf(c_0_143,negated_conjecture,
    ( hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1))
    | hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_130]) ).

cnf(c_0_144,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)),
    c_0_131 ).

cnf(c_0_145,plain,
    ( hBOOL(hAPP(c_Message_Oparts(X1),X2))
    | ~ hBOOL(c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_132]) ).

cnf(c_0_146,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(c_List_Olist_OCons(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    c_0_133 ).

cnf(c_0_147,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 ).

cnf(c_0_148,plain,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    inference(fof_simplification,[status(thm)],[cls_insert__iff_2]) ).

cnf(c_0_149,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    c_0_134 ).

cnf(c_0_150,negated_conjecture,
    ( hBOOL(c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137]),c_0_137]) ).

cnf(c_0_151,plain,
    c_lessequals(X1,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_152,negated_conjecture,
    hBOOL(hAPP(c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))))),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_153,negated_conjecture,
    hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    cls_conjecture_0 ).

cnf(c_0_154,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_6]) ).

cnf(c_0_155,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)))),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144]),c_0_145]) ).

cnf(c_0_156,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OSpy,v_Ba,v_Xa),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent)),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_157,plain,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    c_0_148 ).

cnf(c_0_158,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_MPair__synth__analz_0]) ).

cnf(c_0_159,negated_conjecture,
    ( hBOOL(c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_160,plain,
    c_lessequals(X1,c_Message_Osynth(c_Message_Oanalz(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_151]),c_0_137]) ).

cnf(c_0_161,plain,
    ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_A__trusts__NS2_0]) ).

cnf(c_0_162,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Osynth(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),X1)),
    inference(spm,[status(thm)],[c_0_85,c_0_152]) ).

cnf(c_0_163,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evsf)),
    inference(spm,[status(thm)],[c_0_65,c_0_153]) ).

cnf(c_0_164,negated_conjecture,
    ( hBOOL(c_in(c_Event_Oevent_OSays(v_x,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)) ),
    c_0_154 ).

cnf(c_0_165,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),X1)),
    inference(spm,[status(thm)],[c_0_85,c_0_155]) ).

cnf(c_0_166,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,v_B,v_X),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_167,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(c_Message_Omsg_OMPair(X1,X3),c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)) ),
    c_0_158 ).

cnf(c_0_168,negated_conjecture,
    ( hBOOL(c_in(c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_149,c_0_159]) ).

cnf(c_0_169,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(X1)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_87,c_0_160]) ).

cnf(c_0_170,plain,
    ( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    inference(fof_simplification,[status(thm)],[cls_Spy__see__shrK_0]) ).

cnf(c_0_171,plain,
    ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5))))),c_List_Oset(X6,tc_Event_Oevent),tc_Event_Oevent))
    | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(X6,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
    | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X4),X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)) ),
    c_0_161 ).

cnf(c_0_172,negated_conjecture,
    ( hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_162]) ).

cnf(c_0_173,negated_conjecture,
    hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,X1)),
    inference(spm,[status(thm)],[c_0_85,c_0_163]) ).

cnf(c_0_174,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]),c_0_166]) ).

cnf(c_0_175,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
    inference(fof_simplification,[status(thm)],[cls_Key__synth_0]) ).

cnf(c_0_176,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_177,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_85,c_0_169]) ).

cnf(c_0_178,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    inference(fof_simplification,[status(thm)],[cls_Spy__spies__bad__shrK_0]) ).

cnf(c_0_179,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
    inference(spm,[status(thm)],[c_0_85,c_0_55]) ).

cnf(c_0_180,plain,
    ( hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))) ),
    c_0_170 ).

cnf(c_0_181,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173])]),c_0_174]) ).

cnf(c_0_182,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),X2,tc_Message_Omsg))
    | ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X1),c_Message_Osynth(X2),tc_Message_Omsg)) ),
    c_0_175 ).

cnf(c_0_183,negated_conjecture,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg))
    | ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_184,plain,
    ( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X1)),c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    c_0_178 ).

cnf(c_0_185,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X2,X4)) ),
    inference(spm,[status(thm)],[c_0_179,c_0_56]) ).

cnf(c_0_186,negated_conjecture,
    hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_173])]) ).

cnf(c_0_187,negated_conjecture,
    ~ hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,v_A)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_144]) ).

cnf(c_0_188,plain,
    ( hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,X1),hAPP(c_Message_Omsg_OKey,hAPP(c_Public_OshrK,X2))))
    | ~ hBOOL(c_in(X2,c_Event_Obad,tc_Message_Oagent)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_184]) ).

cnf(c_0_189,negated_conjecture,
    hBOOL(c_in(v_A,c_Event_Obad,X1)),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_190,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SWV762-1 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.07  % Command    : run_E %s %d THM
% 0.07/0.26  % Computer : n021.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit   : 300
% 0.07/0.26  % WCLimit    : 300
% 0.07/0.26  % DateTime   : Sun May 19 06:30:07 EDT 2024
% 0.07/0.26  % CPUTime    : 
% 0.10/0.33  Running first-order model finding
% 0.10/0.33  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.38/2.92  # Version: 3.1.0
% 20.38/2.92  # Preprocessing class: FSLSSMSMSSSNFFN.
% 20.38/2.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.38/2.92  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 20.38/2.92  # Starting new_bool_3 with 300s (1) cores
% 20.38/2.92  # Starting new_bool_1 with 300s (1) cores
% 20.38/2.92  # Starting sh5l with 300s (1) cores
% 20.38/2.92  # new_bool_1 with pid 6602 completed with status 0
% 20.38/2.92  # Result found by new_bool_1
% 20.38/2.92  # Preprocessing class: FSLSSMSMSSSNFFN.
% 20.38/2.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.38/2.92  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 20.38/2.92  # Starting new_bool_3 with 300s (1) cores
% 20.38/2.92  # Starting new_bool_1 with 300s (1) cores
% 20.38/2.92  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.38/2.92  # Search class: FGHSM-FSLM31-DFFFFFNN
% 20.38/2.92  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 20.38/2.92  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 20.38/2.92  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 6605 completed with status 0
% 20.38/2.92  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 20.38/2.92  # Preprocessing class: FSLSSMSMSSSNFFN.
% 20.38/2.92  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.38/2.92  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 20.38/2.92  # Starting new_bool_3 with 300s (1) cores
% 20.38/2.92  # Starting new_bool_1 with 300s (1) cores
% 20.38/2.92  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 20.38/2.92  # Search class: FGHSM-FSLM31-DFFFFFNN
% 20.38/2.92  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 20.38/2.92  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 20.38/2.92  # Preprocessing time       : 0.004 s
% 20.38/2.92  # Presaturation interreduction done
% 20.38/2.92  
% 20.38/2.92  # Proof found!
% 20.38/2.92  # SZS status Unsatisfiable
% 20.38/2.92  # SZS output start CNFRefutation
% See solution above
% 20.38/2.92  # Parsed axioms                        : 557
% 20.38/2.92  # Removed by relevancy pruning/SinE    : 142
% 20.38/2.92  # Initial clauses                      : 415
% 20.38/2.92  # Removed in clause preprocessing      : 0
% 20.38/2.92  # Initial clauses in saturation        : 415
% 20.38/2.92  # Processed clauses                    : 15612
% 20.38/2.92  # ...of these trivial                  : 675
% 20.38/2.92  # ...subsumed                          : 10071
% 20.38/2.92  # ...remaining for further processing  : 4866
% 20.38/2.92  # Other redundant clauses eliminated   : 30
% 20.38/2.92  # Clauses deleted for lack of memory   : 0
% 20.38/2.92  # Backward-subsumed                    : 774
% 20.38/2.92  # Backward-rewritten                   : 335
% 20.38/2.92  # Generated clauses                    : 149266
% 20.38/2.92  # ...of the previous two non-redundant : 125847
% 20.38/2.92  # ...aggressively subsumed             : 0
% 20.38/2.92  # Contextual simplify-reflections      : 15
% 20.38/2.92  # Paramodulations                      : 149201
% 20.38/2.92  # Factorizations                       : 0
% 20.38/2.92  # NegExts                              : 0
% 20.38/2.92  # Equation resolutions                 : 59
% 20.38/2.92  # Disequality decompositions           : 0
% 20.38/2.92  # Total rewrite steps                  : 115867
% 20.38/2.92  # ...of those cached                   : 100068
% 20.38/2.92  # Propositional unsat checks           : 0
% 20.38/2.92  #    Propositional check models        : 0
% 20.38/2.92  #    Propositional check unsatisfiable : 0
% 20.38/2.92  #    Propositional clauses             : 0
% 20.38/2.92  #    Propositional clauses after purity: 0
% 20.38/2.92  #    Propositional unsat core size     : 0
% 20.38/2.92  #    Propositional preprocessing time  : 0.000
% 20.38/2.92  #    Propositional encoding time       : 0.000
% 20.38/2.92  #    Propositional solver time         : 0.000
% 20.38/2.92  #    Success case prop preproc time    : 0.000
% 20.38/2.92  #    Success case prop encoding time   : 0.000
% 20.38/2.92  #    Success case prop solver time     : 0.000
% 20.38/2.92  # Current number of processed clauses  : 3442
% 20.38/2.92  #    Positive orientable unit clauses  : 905
% 20.38/2.92  #    Positive unorientable unit clauses: 18
% 20.38/2.92  #    Negative unit clauses             : 507
% 20.38/2.92  #    Non-unit-clauses                  : 2012
% 20.38/2.92  # Current number of unprocessed clauses: 110078
% 20.38/2.92  # ...number of literals in the above   : 224851
% 20.38/2.92  # Current number of archived formulas  : 0
% 20.38/2.92  # Current number of archived clauses   : 1424
% 20.38/2.92  # Clause-clause subsumption calls (NU) : 1113388
% 20.38/2.92  # Rec. Clause-clause subsumption calls : 937558
% 20.38/2.92  # Non-unit clause-clause subsumptions  : 7325
% 20.38/2.92  # Unit Clause-clause subsumption calls : 379185
% 20.38/2.92  # Rewrite failures with RHS unbound    : 0
% 20.38/2.92  # BW rewrite match attempts            : 16377
% 20.38/2.92  # BW rewrite match successes           : 421
% 20.38/2.92  # Condensation attempts                : 0
% 20.38/2.92  # Condensation successes               : 0
% 20.38/2.92  # Termbank termtop insertions          : 3318886
% 20.38/2.92  # Search garbage collected termcells   : 1353
% 20.38/2.92  
% 20.38/2.92  # -------------------------------------------------
% 20.38/2.92  # User time                : 2.433 s
% 20.38/2.92  # System time              : 0.071 s
% 20.38/2.92  # Total time               : 2.504 s
% 20.38/2.92  # Maximum resident set size: 2772 pages
% 20.38/2.92  
% 20.38/2.92  # -------------------------------------------------
% 20.38/2.92  # User time                : 2.441 s
% 20.38/2.92  # System time              : 0.073 s
% 20.38/2.92  # Total time               : 2.513 s
% 20.38/2.92  # Maximum resident set size: 2164 pages
% 20.38/2.92  % E---3.1 exiting
%------------------------------------------------------------------------------