TSTP Solution File: SWV760-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWV760-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:07:48 EDT 2023

% Result   : Unsatisfiable 19.95s 3.08s
% Output   : CNFRefutation 19.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   51
% Syntax   : Number of clauses     :  169 (  84 unt;  13 nHn; 102 RR)
%            Number of literals    :  282 (  37 equ; 110 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   :  311 (  65 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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Un__absorb1_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_parts__Un_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_equalityI_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_parts__idem_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_sup1CI_1) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_parts__synth_0) ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_mem__def_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_conjecture_4) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_conjecture_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Un__subset__iff_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Un__upper2_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Fake__analz__eq_0) ).

cnf(cls_parts__analz_0,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    file('/export/starexec/sandbox/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_knows__Spy__Says_0) ).

cnf(cls_mem__def_1,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_mem__def_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_predicate1D_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_analz__increasing_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_parts__mono_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_synth__increasing_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Fake__parts__insert__in__Un_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Un__commute_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Says__imp__parts__knows__Spy_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_knows__Says_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_sup1E_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Says__imp__analz__Spy_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_analz__idem_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Un__upper1_0) ).

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,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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_conjecture_2) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_analz__shrK__Decrypt_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_analz__subset__iff_0) ).

cnf(cls_analz__insertI_0,axiom,
    ( hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_analz__insertI_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_not__parts__not__analz_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Crypt__synth_1) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_conjecture_5) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_List_Oset_Osimps_I2_J_0) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_MPair__synth__analz_1) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_conjecture_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_insert__iff_2) ).

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(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ 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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_MPair__synth__analz_0) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    file('/export/starexec/sandbox/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_insert__code_1) ).

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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_A__trusts__NS2_0) ).

cnf(cls_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_insert__absorb_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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p',cls_Spy__spies__bad__shrK_0) ).

cnf(c_0_51,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 ).

cnf(c_0_52,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_53,axiom,
    ( X1 = X2
    | ~ c_lessequals(X2,X1,tc_fun(X3,tc_bool))
    | ~ c_lessequals(X1,X2,tc_fun(X3,tc_bool)) ),
    cls_equalityI_0 ).

cnf(c_0_54,axiom,
    c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_parts__increasing_0 ).

cnf(c_0_55,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_51,c_0_52]) ).

cnf(c_0_56,axiom,
    c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
    cls_parts__idem_0 ).

cnf(c_0_57,axiom,
    ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1,X2,tc_fun(X3,tc_bool)),X4))
    | ~ hBOOL(hAPP(X1,X4)) ),
    cls_sup1CI_1 ).

cnf(c_0_58,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_59,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(c_in(X2,X1,X3)) ),
    cls_mem__def_0 ).

cnf(c_0_60,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_61,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_62,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 ).

cnf(c_0_63,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_64,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_53,c_0_54]) ).

cnf(c_0_65,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_55,c_0_54]),c_0_56]) ).

cnf(c_0_66,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_67,plain,
    ( hBOOL(hAPP(c_Message_Oparts(c_Message_Osynth(X1)),X2))
    | ~ hBOOL(hAPP(c_Message_Oparts(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_68,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)) ),
    cls_Fake__analz__eq_0 ).

cnf(c_0_69,axiom,
    c_Message_Oparts(c_Message_Oanalz(X1)) = c_Message_Oparts(X1),
    cls_parts__analz_0 ).

cnf(c_0_70,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_59,c_0_60]) ).

cnf(c_0_71,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_72,axiom,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1 ).

cnf(c_0_73,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_59,c_0_61]) ).

cnf(c_0_74,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ hBOOL(hAPP(X3,X2))
    | ~ c_lessequals(X3,X1,tc_fun(X4,tc_bool)) ),
    cls_predicate1D_0 ).

cnf(c_0_75,axiom,
    c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_analz__increasing_0 ).

cnf(c_0_76,axiom,
    ( hBOOL(c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,X2,tc_Message_Omsg)) ),
    cls_synth_OInj_0 ).

cnf(c_0_77,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 ).

cnf(c_0_78,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_62,c_0_63]) ).

cnf(c_0_79,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_64,c_0_65]),c_0_66])]) ).

cnf(c_0_80,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_58,c_0_56]) ).

cnf(c_0_81,axiom,
    c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    cls_synth__increasing_0 ).

cnf(c_0_82,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)) ),
    cls_Fake__parts__insert__in__Un_0 ).

cnf(c_0_83,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_84,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)) ),
    cls_Says__imp__parts__knows__Spy_0 ).

cnf(c_0_85,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_86,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_87,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 ).

cnf(c_0_88,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_67,c_0_68]),c_0_69]) ).

cnf(c_0_89,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_70,c_0_71]) ).

cnf(c_0_90,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_72,c_0_73]) ).

cnf(c_0_91,plain,
    ( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_92,plain,
    ( hBOOL(hAPP(c_Message_Osynth(X1),X2))
    | ~ hBOOL(c_in(X2,X1,tc_Message_Omsg)) ),
    inference(spm,[status(thm)],[c_0_59,c_0_76]) ).

cnf(c_0_93,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)) ),
    cls_Says__imp__analz__Spy_0 ).

cnf(c_0_94,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_95,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    cls_analz__idem_0 ).

cnf(c_0_96,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_97,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_74,c_0_77]) ).

cnf(c_0_98,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_78,c_0_79]) ).

cnf(c_0_99,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_51,c_0_80]),c_0_81])]) ).

cnf(c_0_100,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_82,c_0_83]) ).

cnf(c_0_101,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_84,c_0_85]),c_0_86]) ).

cnf(c_0_102,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_58,c_0_69]) ).

cnf(c_0_103,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_87,c_0_58]) ).

cnf(c_0_104,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_88,c_0_89]),c_0_90])]) ).

cnf(c_0_105,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(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_2 ).

cnf(c_0_106,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)) ),
    cls_analz__shrK__Decrypt_0 ).

cnf(c_0_107,plain,
    ( hBOOL(c_in(X1,c_Message_Oanalz(X2),X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_91]) ).

cnf(c_0_108,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_92,c_0_68]) ).

cnf(c_0_109,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_93,c_0_85]),c_0_86]) ).

cnf(c_0_110,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_94,c_0_95]) ).

cnf(c_0_111,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 ).

cnf(c_0_112,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_96,c_0_94]) ).

cnf(c_0_113,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_97,c_0_98]),c_0_99]) ).

cnf(c_0_114,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_100,c_0_101]),c_0_102]),c_0_90])]) ).

cnf(c_0_115,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_103,c_0_104]),c_0_69]) ).

cnf(c_0_116,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)),
    inference(spm,[status(thm)],[c_0_105,c_0_71]) ).

cnf(c_0_117,axiom,
    ( hBOOL(c_in(X1,c_Message_Oanalz(c_Set_Oinsert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oanalz(X3),tc_Message_Omsg)) ),
    cls_analz__insertI_0 ).

cnf(c_0_118,axiom,
    ( hBOOL(c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg))
    | ~ hBOOL(c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)) ),
    cls_not__parts__not__analz_0 ).

cnf(c_0_119,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_106,c_0_107]) ).

cnf(c_0_120,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_108,c_0_109]),c_0_90])]) ).

cnf(c_0_121,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_51,c_0_110]),c_0_81])]) ).

cnf(c_0_122,plain,
    c_lessequals(X1,c_Message_Oanalz(c_Message_Osynth(X1)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_123,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_113,c_0_69]) ).

cnf(c_0_124,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_59,c_0_114]) ).

cnf(c_0_125,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)) ),
    cls_Crypt__synth_1 ).

cnf(c_0_126,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_72,c_0_115]) ).

cnf(c_0_127,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(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_128,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_59,c_0_118]) ).

cnf(c_0_129,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)),
    cls_conjecture_5 ).

cnf(c_0_130,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_131,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)) ),
    cls_MPair__synth__analz_1 ).

cnf(c_0_132,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_119,c_0_120]),c_0_121]),c_0_121]) ).

cnf(c_0_133,plain,
    c_lessequals(X1,c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(spm,[status(thm)],[c_0_111,c_0_122]) ).

cnf(c_0_134,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_123,c_0_124]) ).

cnf(c_0_135,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_136,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_125,c_0_126]),c_0_127]),c_0_128]) ).

cnf(c_0_137,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_129,c_0_130]) ).

cnf(c_0_138,axiom,
    ( hBOOL(c_in(X1,c_Set_Oinsert(X2,X3,X4),X4))
    | ~ hBOOL(c_in(X1,X3,X4)) ),
    cls_insert__iff_2 ).

cnf(c_0_139,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_131,c_0_132]) ).

cnf(c_0_140,plain,
    ( hBOOL(hAPP(c_Message_Oanalz(c_Message_Osynth(c_Message_Oanalz(X1))),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_74,c_0_133]) ).

cnf(c_0_141,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_72,c_0_134]) ).

cnf(c_0_142,negated_conjecture,
    hBOOL(hAPP(c_NS__Shared__Mirabelle_Ons__shared,v_evsf)),
    inference(spm,[status(thm)],[c_0_59,c_0_135]) ).

cnf(c_0_143,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(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg))
    | ~ 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)) ),
    cls_conjecture_6 ).

cnf(c_0_144,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_72,c_0_136]) ).

cnf(c_0_145,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_137,c_0_138]) ).

cnf(c_0_146,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)) ),
    cls_MPair__synth__analz_0 ).

cnf(c_0_147,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_131,c_0_139]) ).

cnf(c_0_148,plain,
    ( hBOOL(hAPP(c_Message_Osynth(c_Message_Oanalz(X1)),X2))
    | ~ hBOOL(hAPP(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_140,c_0_121]) ).

cnf(c_0_149,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1 ).

cnf(c_0_150,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)) ),
    cls_A__trusts__NS2_0 ).

cnf(c_0_151,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_125,c_0_141]) ).

cnf(c_0_152,negated_conjecture,
    hBOOL(c_in(v_evsf,c_NS__Shared__Mirabelle_Ons__shared,X1)),
    inference(spm,[status(thm)],[c_0_72,c_0_142]) ).

cnf(c_0_153,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]),c_0_127]),c_0_145]) ).

cnf(c_0_154,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_146,c_0_147]) ).

cnf(c_0_155,plain,
    ( hBOOL(c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),X3))
    | ~ hBOOL(hAPP(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_72,c_0_148]) ).

cnf(c_0_156,plain,
    hBOOL(c_in(X1,c_Set_Oinsert(X1,X2,X3),X4)),
    inference(spm,[status(thm)],[c_0_72,c_0_149]) ).

cnf(c_0_157,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ hBOOL(c_in(X1,X2,X3)) ),
    cls_insert__absorb_0 ).

cnf(c_0_158,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))) ),
    cls_Spy__see__shrK_0 ).

cnf(c_0_159,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_150,c_0_151]),c_0_152])]),c_0_153]) ).

cnf(c_0_160,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)) ),
    cls_Key__synth_0 ).

cnf(c_0_161,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_154,c_0_155]) ).

cnf(c_0_162,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)) ),
    cls_Spy__spies__bad__shrK_0 ).

cnf(c_0_163,plain,
    ( hBOOL(c_in(X1,X2,X3))
    | ~ hBOOL(c_in(X1,X2,X4)) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_164,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_158,c_0_159]),c_0_152])]) ).

cnf(c_0_165,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_160,c_0_161]),c_0_127]) ).

cnf(c_0_166,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_59,c_0_162]) ).

cnf(c_0_167,negated_conjecture,
    hBOOL(c_in(v_A,c_Event_Obad,X1)),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_168,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV760-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 04:17:18 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  Running first-order model finding
% 0.19/0.52  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/tmp/tmp.LqJcIUzIm1/E---3.1_2260.p
% 19.95/3.08  # Version: 3.1pre001
% 19.95/3.08  # Preprocessing class: FSLSSMSMSSSNFFN.
% 19.95/3.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.95/3.08  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 19.95/3.08  # Starting new_bool_3 with 300s (1) cores
% 19.95/3.08  # Starting new_bool_1 with 300s (1) cores
% 19.95/3.08  # Starting sh5l with 300s (1) cores
% 19.95/3.08  # new_bool_3 with pid 2390 completed with status 0
% 19.95/3.08  # Result found by new_bool_3
% 19.95/3.08  # Preprocessing class: FSLSSMSMSSSNFFN.
% 19.95/3.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.95/3.08  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 19.95/3.08  # Starting new_bool_3 with 300s (1) cores
% 19.95/3.08  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 19.95/3.08  # Search class: FGHSM-FSLM31-DFFFFFNN
% 19.95/3.08  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 19.95/3.08  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 19.95/3.08  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2406 completed with status 0
% 19.95/3.08  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 19.95/3.08  # Preprocessing class: FSLSSMSMSSSNFFN.
% 19.95/3.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.95/3.08  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 19.95/3.08  # Starting new_bool_3 with 300s (1) cores
% 19.95/3.08  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 19.95/3.08  # Search class: FGHSM-FSLM31-DFFFFFNN
% 19.95/3.08  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 19.95/3.08  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 19.95/3.08  # Preprocessing time       : 0.007 s
% 19.95/3.08  # Presaturation interreduction done
% 19.95/3.08  
% 19.95/3.08  # Proof found!
% 19.95/3.08  # SZS status Unsatisfiable
% 19.95/3.08  # SZS output start CNFRefutation
% See solution above
% 19.95/3.09  # Parsed axioms                        : 557
% 19.95/3.09  # Removed by relevancy pruning/SinE    : 142
% 19.95/3.09  # Initial clauses                      : 415
% 19.95/3.09  # Removed in clause preprocessing      : 0
% 19.95/3.09  # Initial clauses in saturation        : 415
% 19.95/3.09  # Processed clauses                    : 15548
% 19.95/3.09  # ...of these trivial                  : 520
% 19.95/3.09  # ...subsumed                          : 10269
% 19.95/3.09  # ...remaining for further processing  : 4759
% 19.95/3.09  # Other redundant clauses eliminated   : 30
% 19.95/3.09  # Clauses deleted for lack of memory   : 0
% 19.95/3.09  # Backward-subsumed                    : 797
% 19.95/3.09  # Backward-rewritten                   : 298
% 19.95/3.09  # Generated clauses                    : 145353
% 19.95/3.09  # ...of the previous two non-redundant : 122925
% 19.95/3.09  # ...aggressively subsumed             : 0
% 19.95/3.09  # Contextual simplify-reflections      : 13
% 19.95/3.09  # Paramodulations                      : 145285
% 19.95/3.09  # Factorizations                       : 0
% 19.95/3.09  # NegExts                              : 0
% 19.95/3.09  # Equation resolutions                 : 62
% 19.95/3.09  # Total rewrite steps                  : 107890
% 19.95/3.09  # Propositional unsat checks           : 0
% 19.95/3.09  #    Propositional check models        : 0
% 19.95/3.09  #    Propositional check unsatisfiable : 0
% 19.95/3.09  #    Propositional clauses             : 0
% 19.95/3.09  #    Propositional clauses after purity: 0
% 19.95/3.09  #    Propositional unsat core size     : 0
% 19.95/3.09  #    Propositional preprocessing time  : 0.000
% 19.95/3.09  #    Propositional encoding time       : 0.000
% 19.95/3.09  #    Propositional solver time         : 0.000
% 19.95/3.09  #    Success case prop preproc time    : 0.000
% 19.95/3.09  #    Success case prop encoding time   : 0.000
% 19.95/3.09  #    Success case prop solver time     : 0.000
% 19.95/3.09  # Current number of processed clauses  : 3349
% 19.95/3.09  #    Positive orientable unit clauses  : 754
% 19.95/3.09  #    Positive unorientable unit clauses: 18
% 19.95/3.09  #    Negative unit clauses             : 491
% 19.95/3.09  #    Non-unit-clauses                  : 2086
% 19.95/3.09  # Current number of unprocessed clauses: 107699
% 19.95/3.09  # ...number of literals in the above   : 219344
% 19.95/3.09  # Current number of archived formulas  : 0
% 19.95/3.09  # Current number of archived clauses   : 1410
% 19.95/3.09  # Clause-clause subsumption calls (NU) : 862413
% 19.95/3.09  # Rec. Clause-clause subsumption calls : 701177
% 19.95/3.09  # Non-unit clause-clause subsumptions  : 7638
% 19.95/3.09  # Unit Clause-clause subsumption calls : 306834
% 19.95/3.09  # Rewrite failures with RHS unbound    : 0
% 19.95/3.09  # BW rewrite match attempts            : 11060
% 19.95/3.09  # BW rewrite match successes           : 416
% 19.95/3.09  # Condensation attempts                : 0
% 19.95/3.09  # Condensation successes               : 0
% 19.95/3.09  # Termbank termtop insertions          : 3187585
% 19.95/3.09  
% 19.95/3.09  # -------------------------------------------------
% 19.95/3.09  # User time                : 2.353 s
% 19.95/3.09  # System time              : 0.099 s
% 19.95/3.09  # Total time               : 2.452 s
% 19.95/3.09  # Maximum resident set size: 2836 pages
% 19.95/3.09  
% 19.95/3.09  # -------------------------------------------------
% 19.95/3.09  # User time                : 2.370 s
% 19.95/3.09  # System time              : 0.100 s
% 19.95/3.09  # Total time               : 2.470 s
% 19.95/3.09  # Maximum resident set size: 2156 pages
% 19.95/3.09  % E---3.1 exiting
%------------------------------------------------------------------------------