TSTP Solution File: SWV816-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV816-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 21:48:15 EDT 2023

% Result   : Unsatisfiable 0.83s 0.97s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   89
% Syntax   : Number of formulae    :  117 (  25 unt;  74 typ;   0 def)
%            Number of atoms       :   80 (   2 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   70 (  33   ~;  37   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  108 (  56   >;  52   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-4 aty)
%            Number of functors    :   57 (  57 usr;  18 con; 0-4 aty)
%            Number of variables   :   61 (  10 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    tc_bool: $i ).

tff(decl_23,type,
    tc_fun: ( $i * $i ) > $i ).

tff(decl_24,type,
    c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).

tff(decl_25,type,
    c_lessequals: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    c_Message_Osynth: $i > $i ).

tff(decl_27,type,
    tc_Message_Omsg: $i ).

tff(decl_28,type,
    c_List_Olist_ONil: $i > $i ).

tff(decl_29,type,
    c_List_Oappend: ( $i * $i * $i ) > $i ).

tff(decl_30,type,
    class_Lattices_Obounded__lattice: $i > $o ).

tff(decl_31,type,
    c_Orderings_Otop__class_Otop: $i > $i ).

tff(decl_32,type,
    c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).

tff(decl_33,type,
    c_Message_Oparts: $i > $i ).

tff(decl_34,type,
    c_Set_Oinsert: ( $i * $i * $i ) > $i ).

tff(decl_35,type,
    hAPP: ( $i * $i ) > $i ).

tff(decl_36,type,
    hBOOL: $i > $o ).

tff(decl_37,type,
    tc_Event_Oevent: $i ).

tff(decl_38,type,
    c_NS__Shared__Mirabelle_Ons__sharedp: $i > $o ).

tff(decl_39,type,
    class_OrderedGroup_Opordered__ab__group__add: $i > $o ).

tff(decl_40,type,
    c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).

tff(decl_41,type,
    c_Event_Oevent_OGets: ( $i * $i ) > $i ).

tff(decl_42,type,
    class_Lattices_Oupper__semilattice: $i > $o ).

tff(decl_43,type,
    c_Message_Oanalz: $i > $i ).

tff(decl_44,type,
    class_Lattices_Olattice: $i > $o ).

tff(decl_45,type,
    c_List_Olist_OCons: ( $i * $i * $i ) > $i ).

tff(decl_46,type,
    c_Event_Oknows: ( $i * $i ) > $i ).

tff(decl_47,type,
    class_Lattices_Oboolean__algebra: $i > $o ).

tff(decl_48,type,
    c_List_Orev: ( $i * $i ) > $i ).

tff(decl_49,type,
    c_Message_OkeysFor: $i > $i ).

tff(decl_50,type,
    tc_nat: $i ).

tff(decl_51,type,
    class_OrderedGroup_Ogroup__add: $i > $o ).

tff(decl_52,type,
    class_HOL_Oord: $i > $o ).

tff(decl_53,type,
    c_in: ( $i * $i * $i ) > $o ).

tff(decl_54,type,
    c_Event_Oused: $i > $i ).

tff(decl_55,type,
    c_List_Oset: ( $i * $i ) > $i ).

tff(decl_56,type,
    c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(decl_57,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_58,type,
    c_Message_OinvKey: $i ).

tff(decl_59,type,
    c_Public_OpublicKey: $i > $i ).

tff(decl_60,type,
    c_Message_OsymKeys: $i ).

tff(decl_61,type,
    c_Event_Oevent_ONotes: ( $i * $i ) > $i ).

tff(decl_62,type,
    c_Message_Omsg_OKey: $i ).

tff(decl_63,type,
    c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).

tff(decl_64,type,
    c_Public_OshrK: $i ).

tff(decl_65,type,
    tc_Message_Oagent: $i ).

tff(decl_66,type,
    c_NS__Shared__Mirabelle_Ons__shared: $i ).

tff(decl_67,type,
    tc_List_Olist: $i > $i ).

tff(decl_68,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_69,type,
    class_Orderings_Otop: $i > $o ).

tff(decl_70,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_71,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_72,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(decl_73,type,
    c_Message_Omsg_OAgent: $i > $i ).

tff(decl_74,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(decl_75,type,
    c_Event_OinitState: $i > $i ).

tff(decl_76,type,
    c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: ( $i * $i * $i ) > $i ).

tff(decl_77,type,
    c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__1: ( $i * $i ) > $i ).

tff(decl_78,type,
    c_Event_Osko__Event__Xknows__Spy__imp__Says__Notes__initState__1__2: ( $i * $i ) > $i ).

tff(decl_79,type,
    v_sko__NS__Shared__Mirabelle__XIssues__def__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_80,type,
    c_NS__Shared__Mirabelle_OIssues: ( $i * $i * $i * $i ) > $o ).

tff(decl_81,type,
    c_Message_Oagent_OServer: $i ).

tff(decl_82,type,
    c_Event_Obad: $i ).

tff(decl_83,type,
    v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: ( $i * $i * $i ) > $i ).

tff(decl_84,type,
    v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: ( $i * $i * $i ) > $i ).

tff(decl_85,type,
    v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1: ( $i * $i ) > $i ).

tff(decl_86,type,
    v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2: ( $i * $i ) > $i ).

tff(decl_87,type,
    v_sko__NS__Shared__Mirabelle__XNS4__implies__NS3__1: ( $i * $i * $i ) > $i ).

tff(decl_88,type,
    v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: ( $i * $i * $i * $i ) > $i ).

tff(decl_89,type,
    v_sko__NS__Shared__Mirabelle__XA__trusts__NS4__1: ( $i * $i * $i ) > $i ).

tff(decl_90,type,
    v_K: $i ).

tff(decl_91,type,
    v_NB: $i ).

tff(decl_92,type,
    v_evs: $i ).

tff(decl_93,type,
    v_B: $i ).

tff(decl_94,type,
    v_A: $i ).

tff(decl_95,type,
    c_fequal: ( $i * $i * $i ) > $o ).

cnf(cls_mem__def_0,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_B__trusts__NS5_0,axiom,
    ( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X3,X5),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X3,X5),hAPP(c_Message_Omsg_OKey,X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_B__trusts__NS5_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

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

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_NS__Shared__Mirabelle_OIssues(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),v_evs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(cls_A__Issues__B_0,axiom,
    ( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),X5)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A__Issues__B_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_analz_OInj_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OInj_0) ).

cnf(cls_Notes__imp__knows_0,axiom,
    ( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).

cnf(cls_analz_OSnd_0,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).

cnf(cls_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(c_0_15,axiom,
    ( hBOOL(hAPP(X1,X2))
    | ~ c_in(X2,X1,X3) ),
    cls_mem__def_0 ).

cnf(c_0_16,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_17,axiom,
    ( c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(X3,X5),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(X3,X5),hAPP(c_Message_Omsg_OKey,X3)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),c_Message_Omsg_OAgent(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg) ),
    cls_B__trusts__NS5_0 ).

cnf(c_0_18,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_19,negated_conjecture,
    c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    cls_conjecture_5 ).

cnf(c_0_20,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_3 ).

cnf(c_0_21,negated_conjecture,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    cls_conjecture_4 ).

cnf(c_0_22,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1 ).

cnf(c_0_23,negated_conjecture,
    hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))))),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_24,negated_conjecture,
    ~ c_NS__Shared__Mirabelle_OIssues(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),v_evs),
    cls_conjecture_6 ).

cnf(c_0_25,axiom,
    ( c_NS__Shared__Mirabelle_OIssues(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4))),X5)
    | c_in(X2,c_Event_Obad,tc_Message_Oagent)
    | c_in(X1,c_Event_Obad,tc_Message_Oagent)
    | c_in(hAPP(c_Message_Omsg_OKey,X3),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
    | ~ c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(c_Event_Oevent_OSays(X1,X2,c_Message_Omsg_OCrypt(X3,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(X4)))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_A__Issues__B_0 ).

cnf(c_0_26,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_27,negated_conjecture,
    ( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(v_K,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(v_K,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
    | ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X1),c_Message_Omsg_ONonce(X1))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]),c_0_21]) ).

cnf(c_0_28,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_19])]),c_0_26]),c_0_20]),c_0_21]) ).

cnf(c_0_30,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_analz_OInj_0 ).

cnf(c_0_31,axiom,
    ( c_in(X1,c_Event_Oknows(X2,X3),tc_Message_Omsg)
    | ~ c_in(c_Event_Oevent_ONotes(X2,X1),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent) ),
    cls_Notes__imp__knows_0 ).

cnf(c_0_32,negated_conjecture,
    c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(v_K,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(v_K,v_evs),hAPP(c_Message_Omsg_OKey,v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_33,plain,
    ( hBOOL(hAPP(c_Message_Oanalz(X1),X2))
    | ~ c_in(X2,X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_15,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(v_K,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(v_K,v_evs),hAPP(c_Message_Omsg_OKey,v_K))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,axiom,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
    cls_analz_OSnd_0 ).

cnf(c_0_36,plain,
    ( c_in(X1,c_Message_Oanalz(X2),X3)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_22,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    hBOOL(hAPP(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(v_K,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(v_K,v_evs),hAPP(c_Message_Omsg_OKey,v_K))))),
    inference(spm,[status(thm)],[c_0_15,c_0_34]) ).

cnf(c_0_38,plain,
    ( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
    | ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__1(v_K,v_evs),c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(v_K,v_evs),hAPP(c_Message_Omsg_OKey,v_K))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),X1),
    inference(spm,[status(thm)],[c_0_22,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_sko__NS__Shared__Mirabelle__XB__trusts__NS5__2(v_K,v_evs),hAPP(c_Message_Omsg_OKey,v_K)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_41,axiom,
    c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(X1),
    cls_analz__idem_0 ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_40]),c_0_41]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV816-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n017.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   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 07:02:43 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.83/0.97  % Version  : CSE_E---1.5
% 0.83/0.97  % Problem  : theBenchmark.p
% 0.83/0.97  % Proof found
% 0.83/0.97  % SZS status Theorem for theBenchmark.p
% 0.83/0.97  % SZS output start Proof
% See solution above
% 0.83/0.98  % Total time : 0.375000 s
% 0.83/0.98  % SZS output end Proof
% 0.83/0.98  % Total time : 0.392000 s
%------------------------------------------------------------------------------