TSTP Solution File: SWV799-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV799-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% 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 : Sat Sep  2 13:58:53 EDT 2023

% Result   : Unsatisfiable 0.28s 0.55s
% Output   : Refutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  201
% Syntax   : Number of formulae    :  317 ( 179 unt;   0 def)
%            Number of atoms       :  477 (  82 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  293 ( 133   ~;  58   |;   0   &)
%                                         ( 102 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :  119 ( 117 usr; 103 prp; 0-3 aty)
%            Number of functors    :   47 (  47 usr;  21 con; 0-3 aty)
%            Number of variables   :  313 (; 313   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f667,f672,f677,f682,f687,f692,f697,f702,f707,f712,f717,f722,f727,f732,f737,f742,f747,f752,f757,f763,f768,f773,f778,f783,f789,f794,f800,f805,f809,f813,f817,f821,f826,f832,f836,f840,f844,f848,f852,f856,f860,f864,f868,f872,f877,f881,f885,f889,f893,f897,f901,f905,f909,f913,f917,f921,f925,f929,f933,f937,f941,f945,f949,f953,f965,f969,f973,f977,f981,f985,f989,f993,f997,f1001,f1005,f1009,f1013,f1017,f1021,f1025,f1029,f1033,f1037,f1041,f1045,f1049,f1053,f1057,f1067,f1072,f1076,f1080,f1084,f1088,f1092,f1096,f1100,f1104,f1108,f1112,f1116,f1120,f1133,f1134]) ).

fof(f1134,plain,
    ( ~ spl0_25
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1131]) ).

fof(f1131,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_94 ),
    inference(resolution,[],[f1087,f788]) ).

fof(f788,plain,
    ( 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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f786,plain,
    ( spl0_25
  <=> 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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1087,plain,
    ( ! [X21,X0,X4] : ~ c_in(c_Message_Omsg_OCrypt(X21,X0),c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f1086]) ).

fof(f1086,plain,
    ( spl0_94
  <=> ! [X4,X0,X21] : ~ c_in(c_Message_Omsg_OCrypt(X21,X0),c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1133,plain,
    ( ~ spl0_34
    | ~ spl0_94 ),
    inference(avatar_contradiction_clause,[],[f1132]) ).

fof(f1132,plain,
    ( $false
    | ~ spl0_34
    | ~ spl0_94 ),
    inference(resolution,[],[f1087,f831]) ).

fof(f831,plain,
    ( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_34
  <=> c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1120,plain,
    spl0_102,
    inference(avatar_split_clause,[],[f583,f1118]) ).

fof(f1118,plain,
    ( spl0_102
  <=> ! [X55,X8,X7] :
        ( ~ c_in(X7,X55,X8)
        | hBOOL(hAPP(X55,X7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f583,axiom,
    ! [X8,X55,X7] :
      ( ~ c_in(X7,X55,X8)
      | hBOOL(hAPP(X55,X7)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_mem__def_0) ).

fof(f1116,plain,
    spl0_101,
    inference(avatar_split_clause,[],[f582,f1114]) ).

fof(f1114,plain,
    ( spl0_101
  <=> ! [X55,X7,X8] :
        ( ~ hBOOL(hAPP(X55,X7))
        | c_in(X7,X55,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f582,axiom,
    ! [X8,X55,X7] :
      ( ~ hBOOL(hAPP(X55,X7))
      | c_in(X7,X55,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_mem__def_1) ).

fof(f1112,plain,
    spl0_100,
    inference(avatar_split_clause,[],[f581,f1110]) ).

fof(f1110,plain,
    ( spl0_100
  <=> ! [X38,X39] :
        ( X38 = X39
        | c_Message_Omsg_ONonce(X39) != c_Message_Omsg_ONonce(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f581,axiom,
    ! [X38,X39] :
      ( X38 = X39
      | c_Message_Omsg_ONonce(X39) != c_Message_Omsg_ONonce(X38) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I3_J_0) ).

fof(f1108,plain,
    spl0_99,
    inference(avatar_split_clause,[],[f541,f1106]) ).

fof(f1106,plain,
    ( spl0_99
  <=> ! [X40,X67] :
        ( X40 = X67
        | c_Message_Omsg_OAgent(X40) != c_Message_Omsg_OAgent(X67) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f541,axiom,
    ! [X40,X67] :
      ( X40 = X67
      | c_Message_Omsg_OAgent(X40) != c_Message_Omsg_OAgent(X67) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I1_J_0) ).

fof(f1104,plain,
    spl0_98,
    inference(avatar_split_clause,[],[f515,f1102]) ).

fof(f1102,plain,
    ( spl0_98
  <=> ! [X0,X21] : ~ c_in(c_Message_Omsg_OCrypt(X21,X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f515,axiom,
    ! [X21,X0] : ~ c_in(c_Message_Omsg_OCrypt(X21,X0),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Crypt__notin__used__empty_0) ).

fof(f1100,plain,
    spl0_97,
    inference(avatar_split_clause,[],[f458,f1098]) ).

fof(f1098,plain,
    ( spl0_97
  <=> ! [X67,X68,X69,X25,X26] : c_Event_Oevent_OSays(X68,X69,X25) != c_Event_Oevent_OGets(X67,X26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f458,axiom,
    ! [X68,X69,X26,X25,X67] : c_Event_Oevent_OSays(X68,X69,X25) != c_Event_Oevent_OGets(X67,X26),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_event_Osimps_I5_J_0) ).

fof(f1096,plain,
    spl0_96,
    inference(avatar_split_clause,[],[f457,f1094]) ).

fof(f1094,plain,
    ( spl0_96
  <=> ! [X26,X67,X69,X25,X68] : c_Event_Oevent_ONotes(X67,X26) != c_Event_Oevent_OSays(X68,X69,X25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f457,axiom,
    ! [X68,X26,X69,X25,X67] : c_Event_Oevent_ONotes(X67,X26) != c_Event_Oevent_OSays(X68,X69,X25),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_event_Osimps_I7_J_0) ).

fof(f1092,plain,
    spl0_95,
    inference(avatar_split_clause,[],[f456,f1090]) ).

fof(f1090,plain,
    ( spl0_95
  <=> ! [X13,X18,X2] : hAPP(c_Public_OshrK,X2) != hAPP(c_Public_OpublicKey(X13),X18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f456,axiom,
    ! [X2,X18,X13] : hAPP(c_Public_OshrK,X2) != hAPP(c_Public_OpublicKey(X13),X18),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_pubK__neq__shrK_0) ).

fof(f1088,plain,
    spl0_94,
    inference(avatar_split_clause,[],[f416,f1086]) ).

fof(f416,axiom,
    ! [X21,X0,X4] : ~ c_in(c_Message_Omsg_OCrypt(X21,X0),c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Crypt__notin__initState_0) ).

fof(f1084,plain,
    spl0_93,
    inference(avatar_split_clause,[],[f160,f1082]) ).

fof(f1082,plain,
    ( spl0_93
  <=> ! [X8,X7] :
        ( ~ class_Lattices_Oupper__semilattice(X8)
        | c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X8) = X7 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f160,axiom,
    ! [X8,X7] :
      ( ~ class_Lattices_Oupper__semilattice(X8)
      | c_Lattices_Oupper__semilattice__class_Osup(X7,X7,X8) = X7 ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_sup__idem_0) ).

fof(f1080,plain,
    spl0_92,
    inference(avatar_split_clause,[],[f159,f1078]) ).

fof(f1078,plain,
    ( spl0_92
  <=> ! [X2,X8] : c_Lattices_Oupper__semilattice__class_Osup(X2,X2,tc_fun(X8,tc_bool)) = X2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f159,axiom,
    ! [X2,X8] : c_Lattices_Oupper__semilattice__class_Osup(X2,X2,tc_fun(X8,tc_bool)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Un__absorb_0) ).

fof(f1076,plain,
    spl0_91,
    inference(avatar_split_clause,[],[f145,f1074]) ).

fof(f1074,plain,
    ( spl0_91
  <=> ! [X1] : c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f145,axiom,
    ! [X1] : c_lessequals(c_Message_Oanalz(X1),c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_analz__subset__parts_0) ).

fof(f1072,plain,
    spl0_90,
    inference(avatar_split_clause,[],[f106,f1070]) ).

fof(f1070,plain,
    ( spl0_90
  <=> ! [X25,X26] :
        ( X25 = X26
        | c_Message_Omsg_OHash(X25) != c_Message_Omsg_OHash(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f106,axiom,
    ! [X26,X25] :
      ( X25 = X26
      | c_Message_Omsg_OHash(X25) != c_Message_Omsg_OHash(X26) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I5_J_0) ).

fof(f1067,plain,
    spl0_89,
    inference(avatar_split_clause,[],[f60,f1065]) ).

fof(f1065,plain,
    ( spl0_89
  <=> ! [X0] : ~ c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f60,axiom,
    ! [X0] : ~ c_in(X0,c_Message_Oparts(c_Orderings_Obot__class_Obot(tc_fun(tc_Message_Omsg,tc_bool))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_parts__emptyE_0) ).

fof(f1057,plain,
    spl0_88,
    inference(avatar_split_clause,[],[f632,f1055]) ).

fof(f1055,plain,
    ( spl0_88
  <=> ! [X0,X8,X14] :
        ( X0 = X14
        | ~ c_fequal(X0,X14,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f632,axiom,
    ! [X0,X8,X14] :
      ( X0 = X14
      | ~ c_fequal(X0,X14,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(f1053,plain,
    spl0_87,
    inference(avatar_split_clause,[],[f595,f1051]) ).

fof(f1051,plain,
    ( spl0_87
  <=> ! [X38,X39,X26] : c_Message_Omsg_OCrypt(X38,X26) != hAPP(c_Message_Omsg_OKey,X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f595,axiom,
    ! [X38,X39,X26] : c_Message_Omsg_OCrypt(X38,X26) != hAPP(c_Message_Omsg_OKey,X39),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I42_J_0) ).

fof(f1049,plain,
    spl0_86,
    inference(avatar_split_clause,[],[f593,f1047]) ).

fof(f1047,plain,
    ( spl0_86
  <=> ! [X36,X37,X39] : c_Message_Omsg_OMPair(X36,X37) != hAPP(c_Message_Omsg_OKey,X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f593,axiom,
    ! [X39,X36,X37] : c_Message_Omsg_OMPair(X36,X37) != hAPP(c_Message_Omsg_OKey,X39),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I40_J_0) ).

fof(f1045,plain,
    spl0_85,
    inference(avatar_split_clause,[],[f576,f1043]) ).

fof(f1043,plain,
    ( spl0_85
  <=> ! [X38,X26,X78,X79] : c_Message_Omsg_OCrypt(X38,X26) != c_Message_Omsg_OMPair(X78,X79) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f576,axiom,
    ! [X38,X78,X79,X26] : c_Message_Omsg_OCrypt(X38,X26) != c_Message_Omsg_OMPair(X78,X79),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I48_J_0) ).

fof(f1041,plain,
    spl0_84,
    inference(avatar_split_clause,[],[f516,f1039]) ).

fof(f1039,plain,
    ( spl0_84
  <=> ! [X33] : ~ c_in(c_Message_Omsg_ONonce(X33),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f516,axiom,
    ! [X33] : ~ c_in(c_Message_Omsg_ONonce(X33),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Nonce__notin__used__empty_0) ).

fof(f1037,plain,
    spl0_83,
    inference(avatar_split_clause,[],[f507,f1035]) ).

fof(f1035,plain,
    ( spl0_83
  <=> ! [X4,X33] : ~ c_in(c_Message_Omsg_ONonce(X33),c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f507,axiom,
    ! [X4,X33] : ~ c_in(c_Message_Omsg_ONonce(X33),c_Message_Oparts(c_Event_OinitState(X4)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Nonce__notin__initState_0) ).

fof(f1033,plain,
    spl0_82,
    inference(avatar_split_clause,[],[f492,f1031]) ).

fof(f1031,plain,
    ( spl0_82
  <=> ! [X25,X40,X67,X26] : c_Event_Oevent_ONotes(X67,X26) != c_Event_Oevent_OGets(X40,X25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f492,axiom,
    ! [X40,X26,X25,X67] : c_Event_Oevent_ONotes(X67,X26) != c_Event_Oevent_OGets(X40,X25),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_event_Osimps_I9_J_0) ).

fof(f1029,plain,
    spl0_81,
    inference(avatar_split_clause,[],[f491,f1027]) ).

fof(f1027,plain,
    ( spl0_81
  <=> ! [X21] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X21)) = X21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f491,axiom,
    ! [X21] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X21)) = X21,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_invKey_0) ).

fof(f1025,plain,
    spl0_80,
    inference(avatar_split_clause,[],[f470,f1023]) ).

fof(f1023,plain,
    ( spl0_80
  <=> ! [X70,X8,X71] : c_List_Olist_ONil(X8) != c_List_Olist_OCons(X70,X71,X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f470,axiom,
    ! [X70,X71,X8] : c_List_Olist_ONil(X8) != c_List_Olist_OCons(X70,X71,X8),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_list_Osimps_I2_J_0) ).

fof(f1021,plain,
    spl0_79,
    inference(avatar_split_clause,[],[f424,f1019]) ).

fof(f1019,plain,
    ( spl0_79
  <=> ! [X2] : c_Event_OinitState(X2) = c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f424,axiom,
    ! [X2] : c_Event_OinitState(X2) = c_Event_Oknows(X2,c_List_Olist_ONil(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_knows__Nil_0) ).

fof(f1017,plain,
    spl0_78,
    inference(avatar_split_clause,[],[f395,f1015]) ).

fof(f1015,plain,
    ( spl0_78
  <=> ! [X16,X8] : c_List_Oappend(X16,c_List_Olist_ONil(X8),X8) = X16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f395,axiom,
    ! [X8,X16] : c_List_Oappend(X16,c_List_Olist_ONil(X8),X8) = X16,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_append__Nil2_0) ).

fof(f1013,plain,
    spl0_77,
    inference(avatar_split_clause,[],[f391,f1011]) ).

fof(f1011,plain,
    ( spl0_77
  <=> ! [X24,X8] : c_List_Oappend(c_List_Olist_ONil(X8),X24,X8) = X24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f391,axiom,
    ! [X8,X24] : c_List_Oappend(c_List_Olist_ONil(X8),X24,X8) = X24,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_self__append__conv2_1) ).

fof(f1009,plain,
    spl0_76,
    inference(avatar_split_clause,[],[f379,f1007]) ).

fof(f1007,plain,
    ( spl0_76
  <=> ! [X4,X8,X7] : c_in(X7,c_Set_Oinsert(X7,X4,X8),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f379,axiom,
    ! [X8,X7,X4] : c_in(X7,c_Set_Oinsert(X7,X4,X8),X8),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_insertCI_1) ).

fof(f1005,plain,
    spl0_75,
    inference(avatar_split_clause,[],[f376,f1003]) ).

fof(f1003,plain,
    ( spl0_75
  <=> ! [X8,X7] : c_in(X7,c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f376,axiom,
    ! [X8,X7] : c_in(X7,c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)),X8),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_UNIV__I_0) ).

fof(f1001,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f369,f999]) ).

fof(f999,plain,
    ( spl0_74
  <=> ! [X13,X2] : ~ c_in(hAPP(c_Public_OpublicKey(X13),X2),c_Message_OsymKeys,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f369,axiom,
    ! [X2,X13] : ~ c_in(hAPP(c_Public_OpublicKey(X13),X2),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_not__symKeys__pubK_0) ).

fof(f997,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f350,f995]) ).

fof(f995,plain,
    ( spl0_73
  <=> ! [X7,X8] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)),X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f350,axiom,
    ! [X8,X7] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool)),X7)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_top1I_0) ).

fof(f993,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f348,f991]) ).

fof(f991,plain,
    ( spl0_72
  <=> ! [X2,X7,X8] : hBOOL(hAPP(c_Set_Oinsert(X7,X2,X8),X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f348,axiom,
    ! [X2,X8,X7] : hBOOL(hAPP(c_Set_Oinsert(X7,X2,X8),X7)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_insert__code_1) ).

fof(f989,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f239,f987]) ).

fof(f987,plain,
    ( spl0_71
  <=> ! [X1] : c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f239,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_analz__increasing_0) ).

fof(f985,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f228,f983]) ).

fof(f983,plain,
    ( spl0_70
  <=> ! [X1] : c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f228,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_parts__increasing_0) ).

fof(f981,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f112,f979]) ).

fof(f979,plain,
    ( spl0_69
  <=> ! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f112,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_synth__increasing_0) ).

fof(f977,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f110,f975]) ).

fof(f975,plain,
    ( spl0_68
  <=> ! [X8,X7] :
        ( ~ class_Orderings_Otop(X8)
        | c_lessequals(X7,c_Orderings_Otop__class_Otop(X8),X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f110,axiom,
    ! [X8,X7] :
      ( ~ class_Orderings_Otop(X8)
      | c_lessequals(X7,c_Orderings_Otop__class_Otop(X8),X8) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_top__greatest_0) ).

fof(f973,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f38,f971]) ).

fof(f971,plain,
    ( spl0_67
  <=> ! [X7,X8] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f38,axiom,
    ! [X8,X7] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X7)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_bot1E_0) ).

fof(f969,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f29,f967]) ).

fof(f967,plain,
    ( spl0_66
  <=> ! [X8,X7] :
        ( ~ class_Orderings_Obot(X8)
        | c_lessequals(c_Orderings_Obot__class_Obot(X8),X7,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f29,axiom,
    ! [X8,X7] :
      ( ~ class_Orderings_Obot(X8)
      | c_lessequals(c_Orderings_Obot__class_Obot(X8),X7,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_bot__least_0) ).

fof(f965,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f11,f963]) ).

fof(f963,plain,
    ( spl0_65
  <=> ! [X5,X8] : ~ c_in(X5,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f11,axiom,
    ! [X8,X5] : ~ c_in(X5,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X8),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_empty__iff_0) ).

fof(f953,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f614,f951]) ).

fof(f951,plain,
    ( spl0_64
  <=> ! [X80,X81] :
        ( ~ class_HOL_Oord(X81)
        | class_HOL_Oord(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f614,axiom,
    ! [X80,X81] :
      ( ~ class_HOL_Oord(X81)
      | class_HOL_Oord(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__HOL_Oord) ).

fof(f949,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f613,f947]) ).

fof(f947,plain,
    ( spl0_63
  <=> ! [X80,X81] :
        ( ~ class_Orderings_Obot(X81)
        | class_Orderings_Obot(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f613,axiom,
    ! [X80,X81] :
      ( ~ class_Orderings_Obot(X81)
      | class_Orderings_Obot(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Orderings_Obot) ).

fof(f945,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f612,f943]) ).

fof(f943,plain,
    ( spl0_62
  <=> ! [X80,X81] :
        ( ~ class_Orderings_Otop(X81)
        | class_Orderings_Otop(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f612,axiom,
    ! [X80,X81] :
      ( ~ class_Orderings_Otop(X81)
      | class_Orderings_Otop(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Orderings_Otop) ).

fof(f941,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f611,f939]) ).

fof(f939,plain,
    ( spl0_61
  <=> ! [X80,X81] :
        ( ~ class_Orderings_Oorder(X81)
        | class_Orderings_Oorder(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f611,axiom,
    ! [X80,X81] :
      ( ~ class_Orderings_Oorder(X81)
      | class_Orderings_Oorder(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Orderings_Oorder) ).

fof(f937,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f610,f935]) ).

fof(f935,plain,
    ( spl0_60
  <=> ! [X80,X81] :
        ( ~ class_Lattices_Olattice(X81)
        | class_Lattices_Olattice(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f610,axiom,
    ! [X80,X81] :
      ( ~ class_Lattices_Olattice(X81)
      | class_Lattices_Olattice(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Lattices_Olattice) ).

fof(f933,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f609,f931]) ).

fof(f931,plain,
    ( spl0_59
  <=> ! [X80,X81] :
        ( ~ class_Orderings_Opreorder(X81)
        | class_Orderings_Opreorder(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f609,axiom,
    ! [X80,X81] :
      ( ~ class_Orderings_Opreorder(X81)
      | class_Orderings_Opreorder(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Orderings_Opreorder) ).

fof(f929,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f608,f927]) ).

fof(f927,plain,
    ( spl0_58
  <=> ! [X80,X81] :
        ( ~ class_Lattices_Oboolean__algebra(X81)
        | class_Lattices_Oboolean__algebra(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f608,axiom,
    ! [X80,X81] :
      ( ~ class_Lattices_Oboolean__algebra(X81)
      | class_Lattices_Oboolean__algebra(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Lattices_Oboolean__algebra) ).

fof(f925,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f607,f923]) ).

fof(f923,plain,
    ( spl0_57
  <=> ! [X80,X81] :
        ( ~ class_Lattices_Obounded__lattice(X81)
        | class_Lattices_Obounded__lattice(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f607,axiom,
    ! [X80,X81] :
      ( ~ class_Lattices_Obounded__lattice(X81)
      | class_Lattices_Obounded__lattice(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Lattices_Obounded__lattice) ).

fof(f921,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f606,f919]) ).

fof(f919,plain,
    ( spl0_56
  <=> ! [X80,X81] :
        ( ~ class_Lattices_Olattice(X81)
        | class_Lattices_Oupper__semilattice(tc_fun(X80,X81)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f606,axiom,
    ! [X80,X81] :
      ( ~ class_Lattices_Olattice(X81)
      | class_Lattices_Oupper__semilattice(tc_fun(X80,X81)) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(f917,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f591,f915]) ).

fof(f915,plain,
    ( spl0_55
  <=> ! [X36,X37,X39] : c_Message_Omsg_OMPair(X36,X37) != c_Message_Omsg_ONonce(X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f591,axiom,
    ! [X39,X36,X37] : c_Message_Omsg_OMPair(X36,X37) != c_Message_Omsg_ONonce(X39),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I35_J_0) ).

fof(f913,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f577,f911]) ).

fof(f911,plain,
    ( spl0_54
  <=> ! [X38,X40,X26] : c_Message_Omsg_OCrypt(X38,X26) != c_Message_Omsg_OAgent(X40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f577,axiom,
    ! [X40,X38,X26] : c_Message_Omsg_OCrypt(X38,X26) != c_Message_Omsg_OAgent(X40),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I19_J_0) ).

fof(f909,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f565,f907]) ).

fof(f907,plain,
    ( spl0_53
  <=> ! [X36,X37,X40] : c_Message_Omsg_OMPair(X36,X37) != c_Message_Omsg_OAgent(X40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f565,axiom,
    ! [X40,X36,X37] : c_Message_Omsg_OMPair(X36,X37) != c_Message_Omsg_OAgent(X40),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I17_J_0) ).

fof(f905,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f564,f903]) ).

fof(f903,plain,
    ( spl0_52
  <=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oanalz(c_Message_Oparts(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f564,axiom,
    ! [X1] : c_Message_Oparts(X1) = c_Message_Oanalz(c_Message_Oparts(X1)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_analz__parts_0) ).

fof(f901,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f563,f899]) ).

fof(f899,plain,
    ( spl0_51
  <=> ! [X38,X39] : c_Message_Omsg_ONonce(X39) != hAPP(c_Message_Omsg_OKey,X38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f563,axiom,
    ! [X38,X39] : c_Message_Omsg_ONonce(X39) != hAPP(c_Message_Omsg_OKey,X38),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I30_J_0) ).

fof(f897,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f562,f895]) ).

fof(f895,plain,
    ( spl0_50
  <=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oparts(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f562,axiom,
    ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oparts(X1)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_parts__idem_0) ).

fof(f893,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f550,f891]) ).

fof(f891,plain,
    ( spl0_49
  <=> ! [X38,X40] : c_Message_Omsg_OAgent(X40) != hAPP(c_Message_Omsg_OKey,X38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f550,axiom,
    ! [X40,X38] : c_Message_Omsg_OAgent(X40) != hAPP(c_Message_Omsg_OKey,X38),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I12_J_0) ).

fof(f889,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f549,f887]) ).

fof(f887,plain,
    ( spl0_48
  <=> ! [X38,X39,X26] : c_Message_Omsg_OCrypt(X38,X26) != c_Message_Omsg_ONonce(X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f549,axiom,
    ! [X38,X39,X26] : c_Message_Omsg_OCrypt(X38,X26) != c_Message_Omsg_ONonce(X39),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I37_J_0) ).

fof(f885,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f544,f883]) ).

fof(f883,plain,
    ( spl0_47
  <=> ! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Message_Oanalz(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f544,axiom,
    ! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Message_Oanalz(X1)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_analz__idem_0) ).

fof(f881,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f542,f879]) ).

fof(f879,plain,
    ( spl0_46
  <=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f542,axiom,
    ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_parts__analz_0) ).

fof(f877,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f496,f874]) ).

fof(f874,plain,
    ( spl0_45
  <=> c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f496,axiom,
    c_in(c_List_Olist_ONil(tc_Event_Oevent),c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_ns__shared_ONil_0) ).

fof(f872,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f480,f870]) ).

fof(f870,plain,
    ( spl0_44
  <=> ! [X1] : c_Message_Osynth(X1) = c_Message_Osynth(c_Message_Osynth(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f480,axiom,
    ! [X1] : c_Message_Osynth(X1) = c_Message_Osynth(c_Message_Osynth(X1)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_synth__idem_0) ).

fof(f868,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f478,f866]) ).

fof(f866,plain,
    ( spl0_43
  <=> ! [X16,X8,X7] : c_List_Olist_OCons(X7,X16,X8) != X16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f478,axiom,
    ! [X8,X7,X16] : c_List_Olist_OCons(X7,X16,X8) != X16,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_not__Cons__self_0) ).

fof(f864,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f435,f862]) ).

fof(f862,plain,
    ( spl0_42
  <=> ! [X2,X1] : c_in(c_Message_Omsg_OAgent(X2),c_Message_Osynth(X1),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f435,axiom,
    ! [X2,X1] : c_in(c_Message_Omsg_OAgent(X2),c_Message_Osynth(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Agent__synth_0) ).

fof(f860,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f342,f858]) ).

fof(f858,plain,
    ( spl0_41
  <=> ! [X0] : c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f342,axiom,
    ! [X0] : c_in(hAPP(c_Public_OshrK,X0),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_sym__shrK_0) ).

fof(f856,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f235,f854]) ).

fof(f854,plain,
    ( spl0_40
  <=> ! [X39,X26] : c_Message_Omsg_OHash(X26) != hAPP(c_Message_Omsg_OKey,X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f235,axiom,
    ! [X39,X26] : c_Message_Omsg_OHash(X26) != hAPP(c_Message_Omsg_OKey,X39),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I38_J_0) ).

fof(f852,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f233,f850]) ).

fof(f850,plain,
    ( spl0_39
  <=> ! [X38,X25,X26] : c_Message_Omsg_OHash(X25) != c_Message_Omsg_OCrypt(X38,X26) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f233,axiom,
    ! [X38,X26,X25] : c_Message_Omsg_OHash(X25) != c_Message_Omsg_OCrypt(X38,X26),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I47_J_0) ).

fof(f848,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f226,f846]) ).

fof(f846,plain,
    ( spl0_38
  <=> ! [X36,X37,X25] : c_Message_Omsg_OHash(X25) != c_Message_Omsg_OMPair(X36,X37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f226,axiom,
    ! [X36,X37,X25] : c_Message_Omsg_OHash(X25) != c_Message_Omsg_OMPair(X36,X37),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I44_J_0) ).

fof(f844,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f128,f842]) ).

fof(f842,plain,
    ( spl0_37
  <=> ! [X8,X7] :
        ( ~ class_Orderings_Opreorder(X8)
        | c_lessequals(X7,X7,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f128,axiom,
    ! [X8,X7] :
      ( ~ class_Orderings_Opreorder(X8)
      | c_lessequals(X7,X7,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_order__eq__refl_0) ).

fof(f840,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f127,f838]) ).

fof(f838,plain,
    ( spl0_36
  <=> ! [X8,X7] :
        ( ~ class_Orderings_Oorder(X8)
        | c_lessequals(X7,X7,X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f127,axiom,
    ! [X8,X7] :
      ( ~ class_Orderings_Oorder(X8)
      | c_lessequals(X7,X7,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_order__eq__iff_0) ).

fof(f836,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f124,f834]) ).

fof(f834,plain,
    ( spl0_35
  <=> ! [X2,X8] : c_lessequals(X2,X2,tc_fun(X8,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f124,axiom,
    ! [X2,X8] : c_lessequals(X2,X2,tc_fun(X8,tc_bool)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_subset__refl_0) ).

fof(f832,plain,
    ( spl0_34
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f827,f823,f829]) ).

fof(f823,plain,
    ( spl0_33
  <=> c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f827,plain,
    ( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)
    | ~ spl0_33 ),
    inference(forward_demodulation,[],[f825,f424]) ).

fof(f825,plain,
    ( c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f826,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f603,f823]) ).

fof(f603,axiom,
    c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(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,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_conjecture_3) ).

fof(f821,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f566,f819]) ).

fof(f819,plain,
    ( spl0_32
  <=> ! [X38,X40] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_ONonce(X38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f566,axiom,
    ! [X40,X38] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_ONonce(X38),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I11_J_0) ).

fof(f817,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f245,f815]) ).

fof(f815,plain,
    ( spl0_31
  <=> ! [X39,X26] : c_Message_Omsg_OHash(X26) != c_Message_Omsg_ONonce(X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f245,axiom,
    ! [X39,X26] : c_Message_Omsg_OHash(X26) != c_Message_Omsg_ONonce(X39),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I33_J_0) ).

fof(f813,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f242,f811]) ).

fof(f811,plain,
    ( spl0_30
  <=> ! [X40,X26] : c_Message_Omsg_OHash(X26) != c_Message_Omsg_OAgent(X40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f242,axiom,
    ! [X40,X26] : c_Message_Omsg_OHash(X26) != c_Message_Omsg_OAgent(X40),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_msg_Osimps_I15_J_0) ).

fof(f809,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f631,f807]) ).

fof(f807,plain,
    ( spl0_29
  <=> ! [X8,X7] : c_fequal(X7,X7,X8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f631,axiom,
    ! [X8,X7] : c_fequal(X7,X7,X8),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f805,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f559,f802]) ).

fof(f802,plain,
    ( spl0_28
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f559,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Spy__in__bad_0) ).

fof(f800,plain,
    ~ spl0_27,
    inference(avatar_split_clause,[],[f426,f797]) ).

fof(f797,plain,
    ( spl0_27
  <=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f426,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_Server__not__bad_0) ).

fof(f794,plain,
    ~ spl0_26,
    inference(avatar_split_clause,[],[f605,f791]) ).

fof(f791,plain,
    ( spl0_26
  <=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f605,axiom,
    ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_conjecture_5) ).

fof(f789,plain,
    ( spl0_25
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f784,f780,f786]) ).

fof(f780,plain,
    ( spl0_24
  <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f784,plain,
    ( 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_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f782,f424]) ).

fof(f782,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f783,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f604,f780]) ).

fof(f604,axiom,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_conjecture_4) ).

fof(f778,plain,
    ~ spl0_23,
    inference(avatar_split_clause,[],[f463,f775]) ).

fof(f775,plain,
    ( spl0_23
  <=> c_Message_Oagent_OSpy = c_Message_Oagent_OServer ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f463,axiom,
    c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_agent_Osimps_I4_J_0) ).

fof(f773,plain,
    spl0_22,
    inference(avatar_split_clause,[],[f451,f770]) ).

fof(f770,plain,
    ( spl0_22
  <=> c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f451,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_ns__sharedp_ONil_0) ).

fof(f768,plain,
    ~ spl0_21,
    inference(avatar_split_clause,[],[f61,f765]) ).

fof(f765,plain,
    ( spl0_21
  <=> c_Public_Okeymode_OEncryption = c_Public_Okeymode_OSignature ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f61,axiom,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_keymode_Osimps_I2_J_0) ).

fof(f763,plain,
    ( ~ spl0_20
    | spl0_19 ),
    inference(avatar_split_clause,[],[f758,f754,f760]) ).

fof(f760,plain,
    ( spl0_20
  <=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f754,plain,
    ( spl0_19
  <=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f758,plain,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_OinitState(c_Message_Oagent_OSpy)),tc_Message_Omsg)
    | spl0_19 ),
    inference(forward_demodulation,[],[f756,f424]) ).

fof(f756,plain,
    ( ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f754]) ).

fof(f757,plain,
    ~ spl0_19,
    inference(avatar_split_clause,[],[f602,f754]) ).

fof(f602,axiom,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent))),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_conjecture_2) ).

fof(f752,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f630,f749]) ).

fof(f749,plain,
    ( spl0_18
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f630,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__HOL_Oord) ).

fof(f747,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f629,f744]) ).

fof(f744,plain,
    ( spl0_17
  <=> class_Orderings_Obot(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f629,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Orderings_Obot) ).

fof(f742,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f628,f739]) ).

fof(f739,plain,
    ( spl0_16
  <=> class_Orderings_Otop(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f628,axiom,
    class_Orderings_Otop(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Orderings_Otop) ).

fof(f737,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f627,f734]) ).

fof(f734,plain,
    ( spl0_15
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f627,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Orderings_Oorder) ).

fof(f732,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f626,f729]) ).

fof(f729,plain,
    ( spl0_14
  <=> class_Lattices_Olattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f626,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Lattices_Olattice) ).

fof(f727,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f625,f724]) ).

fof(f724,plain,
    ( spl0_13
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f625,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Orderings_Opreorder) ).

fof(f722,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f624,f719]) ).

fof(f719,plain,
    ( spl0_12
  <=> class_Lattices_Oboolean__algebra(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f624,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Lattices_Oboolean__algebra) ).

fof(f717,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f623,f714]) ).

fof(f714,plain,
    ( spl0_11
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f623,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Lattices_Obounded__lattice) ).

fof(f712,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f622,f709]) ).

fof(f709,plain,
    ( spl0_10
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f622,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_bool__Lattices_Oupper__semilattice) ).

fof(f707,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f621,f704]) ).

fof(f704,plain,
    ( spl0_9
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f621,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__HOL_Oord) ).

fof(f702,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f620,f699]) ).

fof(f699,plain,
    ( spl0_8
  <=> class_Orderings_Obot(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f620,axiom,
    class_Orderings_Obot(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__Orderings_Obot) ).

fof(f697,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f619,f694]) ).

fof(f694,plain,
    ( spl0_7
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f619,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__Orderings_Oorder) ).

fof(f692,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f618,f689]) ).

fof(f689,plain,
    ( spl0_6
  <=> class_Lattices_Olattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f618,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__Lattices_Olattice) ).

fof(f687,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f617,f684]) ).

fof(f684,plain,
    ( spl0_5
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f617,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__Orderings_Olinorder) ).

fof(f682,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f616,f679]) ).

fof(f679,plain,
    ( spl0_4
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f616,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__Orderings_Opreorder) ).

fof(f677,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f615,f674]) ).

fof(f674,plain,
    ( spl0_3
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f615,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',clsarity_nat__Lattices_Oupper__semilattice) ).

fof(f672,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f601,f669]) ).

fof(f669,plain,
    ( spl0_2
  <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f601,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_conjecture_1) ).

fof(f667,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f600,f664]) ).

fof(f664,plain,
    ( spl0_1
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f600,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18  % Problem    : SWV799-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.20  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.42  % Computer : n021.cluster.edu
% 0.21/0.42  % Model    : x86_64 x86_64
% 0.21/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42  % Memory   : 8042.1875MB
% 0.21/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42  % CPULimit   : 300
% 0.21/0.42  % WCLimit    : 300
% 0.21/0.42  % DateTime   : Wed Aug 30 17:36:00 EDT 2023
% 0.21/0.42  % CPUTime    : 
% 0.28/0.48  % (19100)Running in auto input_syntax mode. Trying TPTP
% 0.28/0.51  % (19119)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.28/0.51  % (19121)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.28/0.51  % (19120)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.28/0.52  % (19122)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.28/0.52  % (19123)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.28/0.52  % (19124)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.28/0.52  % (19118)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.28/0.54  % (19122)First to succeed.
% 0.28/0.55  % (19122)Refutation found. Thanks to Tanya!
% 0.28/0.55  % SZS status Unsatisfiable for Vampire---4
% 0.28/0.55  % SZS output start Proof for Vampire---4
% See solution above
% 0.28/0.55  % (19122)------------------------------
% 0.28/0.55  % (19122)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.28/0.55  % (19122)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.28/0.55  % (19122)Termination reason: Refutation
% 0.28/0.55  
% 0.28/0.55  % (19122)Memory used [KB]: 6652
% 0.28/0.55  % (19122)Time elapsed: 0.030 s
% 0.28/0.55  % (19122)------------------------------
% 0.28/0.55  % (19122)------------------------------
% 0.28/0.55  % (19100)Success in time 0.122 s
% 0.28/0.55  % Vampire---4.8 exiting
% 0.28/0.55  19120 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.2lpaElHU70/Vampire---4.8_18798
% 0.28/0.55  % (19120)------------------------------
% 0.28/0.55  % (19120)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.28/0.55  % (19120)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.28/0.55  % (19120)Termination reason: Unknown
% 0.28/0.55  % (19120)Termination phase: Saturation
% 0.28/0.55  
% 0.28/0.55  % (19120)Memory used [KB]: 5884
% 0.28/0.55  % (19120)Time elapsed: 0.038 s
% 0.28/0.55  % (19120)------------------------------
% 0.28/0.55  % (19120)------------------------------
%------------------------------------------------------------------------------