TSTP Solution File: SWV811-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %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 : Sun May  5 11:11:12 EDT 2024

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :  148
% Syntax   : Number of formulae    :  229 ( 138 unt;   0 def)
%            Number of atoms       :  331 (  55 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  182 (  80   ~;  28   |;   0   &)
%                                         (  74 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   88 (  86 usr;  75 prp; 0-3 aty)
%            Number of functors    :   41 (  41 usr;  15 con; 0-3 aty)
%            Number of variables   :  209 ( 209   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f919,plain,
    $false,
    inference(avatar_sat_refutation,[],[f589,f594,f599,f604,f609,f614,f619,f624,f629,f634,f639,f644,f649,f654,f659,f664,f669,f674,f679,f684,f690,f695,f700,f704,f708,f712,f716,f720,f724,f728,f732,f736,f740,f744,f748,f752,f756,f760,f765,f769,f773,f777,f781,f785,f789,f793,f797,f801,f805,f809,f813,f817,f821,f834,f838,f842,f846,f850,f854,f858,f862,f866,f870,f874,f878,f882,f886,f890,f894,f898,f902,f906,f910,f914,f918]) ).

fof(f918,plain,
    ( ~ spl0_21
    | ~ spl0_60 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl0_21
    | ~ spl0_60 ),
    inference(resolution,[],[f857,f689]) ).

fof(f689,plain,
    ( 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_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f687]) ).

fof(f687,plain,
    ( spl0_21
  <=> 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_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f857,plain,
    ( ! [X11,X16] : ~ c_in(X11,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16)
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f856]) ).

fof(f856,plain,
    ( spl0_60
  <=> ! [X16,X11] : ~ c_in(X11,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f914,plain,
    spl0_74,
    inference(avatar_split_clause,[],[f555,f912]) ).

fof(f912,plain,
    ( spl0_74
  <=> ! [X16,X11] : hBOOL(hAPP(hAPP(c_fequal(X16),X11),X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f555,axiom,
    ! [X11,X16] : hBOOL(hAPP(hAPP(c_fequal(X16),X11),X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

fof(f910,plain,
    spl0_73,
    inference(avatar_split_clause,[],[f517,f908]) ).

fof(f908,plain,
    ( spl0_73
  <=> ! [X43,X72,X42] : c_Message_Omsg_OMPair(X42,X43) != hAPP(c_Message_Omsg_OKey,X72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f517,axiom,
    ! [X72,X42,X43] : c_Message_Omsg_OMPair(X42,X43) != hAPP(c_Message_Omsg_OKey,X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).

fof(f906,plain,
    spl0_72,
    inference(avatar_split_clause,[],[f503,f904]) ).

fof(f904,plain,
    ( spl0_72
  <=> ! [X77,X41,X76,X39] : c_Message_Omsg_OCrypt(X39,X41) != c_Message_Omsg_OMPair(X76,X77) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f503,axiom,
    ! [X41,X39,X76,X77] : c_Message_Omsg_OCrypt(X39,X41) != c_Message_Omsg_OMPair(X76,X77),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).

fof(f902,plain,
    spl0_71,
    inference(avatar_split_clause,[],[f500,f900]) ).

fof(f900,plain,
    ( spl0_71
  <=> ! [X16,X26] : c_List_Orev(c_List_Orev(X26,X16),X16) = X26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f500,axiom,
    ! [X26,X16] : c_List_Orev(c_List_Orev(X26,X16),X16) = X26,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__swap_1) ).

fof(f898,plain,
    spl0_70,
    inference(avatar_split_clause,[],[f490,f896]) ).

fof(f896,plain,
    ( spl0_70
  <=> ! [X41,X72,X39] : c_Message_Omsg_OCrypt(X39,X41) != hAPP(c_Message_Omsg_OKey,X72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f490,axiom,
    ! [X41,X39,X72] : c_Message_Omsg_OCrypt(X39,X41) != hAPP(c_Message_Omsg_OKey,X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).

fof(f894,plain,
    spl0_69,
    inference(avatar_split_clause,[],[f471,f892]) ).

fof(f892,plain,
    ( spl0_69
  <=> ! [X16] : c_List_Olist_ONil(X16) = c_List_Orev(c_List_Olist_ONil(X16),X16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f471,axiom,
    ! [X16] : c_List_Olist_ONil(X16) = c_List_Orev(c_List_Olist_ONil(X16),X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nil__is__rev__conv_1) ).

fof(f890,plain,
    spl0_68,
    inference(avatar_split_clause,[],[f445,f888]) ).

fof(f888,plain,
    ( spl0_68
  <=> ! [X62] : ~ c_in(c_Message_Omsg_ONonce(X62),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f445,axiom,
    ! [X62] : ~ c_in(c_Message_Omsg_ONonce(X62),c_Event_Oused(c_List_Olist_ONil(tc_Event_Oevent)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).

fof(f886,plain,
    spl0_67,
    inference(avatar_split_clause,[],[f418,f884]) ).

fof(f884,plain,
    ( spl0_67
  <=> ! [X21,X17,X3] : c_Public_OshrK(X3) != c_Message_OinvKey(c_Public_OpublicKey(X17,X21)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f418,axiom,
    ! [X21,X3,X17] : c_Public_OshrK(X3) != c_Message_OinvKey(c_Public_OpublicKey(X17,X21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).

fof(f882,plain,
    spl0_66,
    inference(avatar_split_clause,[],[f390,f880]) ).

fof(f880,plain,
    ( spl0_66
  <=> ! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f390,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Osynth(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).

fof(f878,plain,
    spl0_65,
    inference(avatar_split_clause,[],[f388,f876]) ).

fof(f876,plain,
    ( spl0_65
  <=> ! [X60,X41,X59,X40] : c_Event_Oevent_ONotes(X60,X41) != c_Event_Oevent_OGets(X40,X59) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f388,axiom,
    ! [X40,X41,X59,X60] : c_Event_Oevent_ONotes(X60,X41) != c_Event_Oevent_OGets(X40,X59),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).

fof(f874,plain,
    spl0_64,
    inference(avatar_split_clause,[],[f383,f872]) ).

fof(f872,plain,
    ( spl0_64
  <=> ! [X16,X11,X3] : hBOOL(hAPP(c_Set_Oinsert(X11,X3,X16),X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f383,axiom,
    ! [X3,X11,X16] : hBOOL(hAPP(c_Set_Oinsert(X11,X3,X16),X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f870,plain,
    spl0_63,
    inference(avatar_split_clause,[],[f359,f868]) ).

fof(f868,plain,
    ( spl0_63
  <=> ! [X16,X11] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f359,axiom,
    ! [X11,X16] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X11)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f866,plain,
    spl0_62,
    inference(avatar_split_clause,[],[f348,f864]) ).

fof(f864,plain,
    ( spl0_62
  <=> ! [X16,X11] :
        ( ~ class_Orderings_Obot(X16)
        | c_lessequals(c_Orderings_Obot__class_Obot(X16),X11,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f348,axiom,
    ! [X11,X16] :
      ( ~ class_Orderings_Obot(X16)
      | c_lessequals(c_Orderings_Obot__class_Obot(X16),X11,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).

fof(f862,plain,
    spl0_61,
    inference(avatar_split_clause,[],[f229,f860]) ).

fof(f860,plain,
    ( spl0_61
  <=> ! [X1] : c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f229,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).

fof(f858,plain,
    spl0_60,
    inference(avatar_split_clause,[],[f189,f856]) ).

fof(f189,axiom,
    ! [X11,X16] : ~ c_in(X11,c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)),X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).

fof(f854,plain,
    spl0_59,
    inference(avatar_split_clause,[],[f182,f852]) ).

fof(f852,plain,
    ( spl0_59
  <=> ! [X4,X16,X11] : c_in(X11,c_Set_Oinsert(X11,X4,X16),X16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f182,axiom,
    ! [X11,X16,X4] : c_in(X11,c_Set_Oinsert(X11,X4,X16),X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

fof(f850,plain,
    spl0_58,
    inference(avatar_split_clause,[],[f158,f848]) ).

fof(f848,plain,
    ( spl0_58
  <=> ! [X16,X26] : c_List_Oappend(c_List_Olist_ONil(X16),X26,X16) = X26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f158,axiom,
    ! [X26,X16] : c_List_Oappend(c_List_Olist_ONil(X16),X26,X16) = X26,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_self__append__conv2_1) ).

fof(f846,plain,
    spl0_57,
    inference(avatar_split_clause,[],[f154,f844]) ).

fof(f844,plain,
    ( spl0_57
  <=> ! [X25,X16] : c_List_Oappend(X25,c_List_Olist_ONil(X16),X16) = X25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f154,axiom,
    ! [X16,X25] : c_List_Oappend(X25,c_List_Olist_ONil(X16),X16) = X25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_append__Nil2_0) ).

fof(f842,plain,
    spl0_56,
    inference(avatar_split_clause,[],[f152,f840]) ).

fof(f840,plain,
    ( spl0_56
  <=> ! [X45,X16,X44] : c_List_Olist_ONil(X16) != c_List_Olist_OCons(X44,X45,X16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f152,axiom,
    ! [X44,X16,X45] : c_List_Olist_ONil(X16) != c_List_Olist_OCons(X44,X45,X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).

fof(f838,plain,
    spl0_55,
    inference(avatar_split_clause,[],[f142,f836]) ).

fof(f836,plain,
    ( spl0_55
  <=> ! [X1] : c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f142,axiom,
    ! [X1] : c_lessequals(X1,c_Message_Oparts(X1),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).

fof(f834,plain,
    spl0_54,
    inference(avatar_split_clause,[],[f65,f832]) ).

fof(f832,plain,
    ( spl0_54
  <=> ! [X17,X3] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X17,X3)),c_Message_OsymKeys,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f65,axiom,
    ! [X3,X17] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X17,X3)),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).

fof(f821,plain,
    spl0_53,
    inference(avatar_split_clause,[],[f538,f819]) ).

fof(f819,plain,
    ( spl0_53
  <=> ! [X80,X79] :
        ( ~ class_HOL_Oord(X80)
        | class_HOL_Oord(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f538,axiom,
    ! [X80,X79] :
      ( ~ class_HOL_Oord(X80)
      | class_HOL_Oord(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).

fof(f817,plain,
    spl0_52,
    inference(avatar_split_clause,[],[f537,f815]) ).

fof(f815,plain,
    ( spl0_52
  <=> ! [X80,X79] :
        ( ~ class_Orderings_Obot(X80)
        | class_Orderings_Obot(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f537,axiom,
    ! [X80,X79] :
      ( ~ class_Orderings_Obot(X80)
      | class_Orderings_Obot(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).

fof(f813,plain,
    spl0_51,
    inference(avatar_split_clause,[],[f536,f811]) ).

fof(f811,plain,
    ( spl0_51
  <=> ! [X80,X79] :
        ( ~ class_Orderings_Oorder(X80)
        | class_Orderings_Oorder(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f536,axiom,
    ! [X80,X79] :
      ( ~ class_Orderings_Oorder(X80)
      | class_Orderings_Oorder(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).

fof(f809,plain,
    spl0_50,
    inference(avatar_split_clause,[],[f535,f807]) ).

fof(f807,plain,
    ( spl0_50
  <=> ! [X80,X79] :
        ( ~ class_Lattices_Olattice(X80)
        | class_Lattices_Olattice(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f535,axiom,
    ! [X80,X79] :
      ( ~ class_Lattices_Olattice(X80)
      | class_Lattices_Olattice(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).

fof(f805,plain,
    spl0_49,
    inference(avatar_split_clause,[],[f534,f803]) ).

fof(f803,plain,
    ( spl0_49
  <=> ! [X80,X79] :
        ( ~ class_Orderings_Opreorder(X80)
        | class_Orderings_Opreorder(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f534,axiom,
    ! [X80,X79] :
      ( ~ class_Orderings_Opreorder(X80)
      | class_Orderings_Opreorder(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).

fof(f801,plain,
    spl0_48,
    inference(avatar_split_clause,[],[f533,f799]) ).

fof(f799,plain,
    ( spl0_48
  <=> ! [X80,X79] :
        ( ~ class_Lattices_Obounded__lattice(X80)
        | class_Lattices_Obounded__lattice(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f533,axiom,
    ! [X80,X79] :
      ( ~ class_Lattices_Obounded__lattice(X80)
      | class_Lattices_Obounded__lattice(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).

fof(f797,plain,
    spl0_47,
    inference(avatar_split_clause,[],[f532,f795]) ).

fof(f795,plain,
    ( spl0_47
  <=> ! [X80,X79] :
        ( ~ class_Lattices_Olattice(X80)
        | class_Lattices_Oupper__semilattice(tc_fun(X79,X80)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f532,axiom,
    ! [X80,X79] :
      ( ~ class_Lattices_Olattice(X80)
      | class_Lattices_Oupper__semilattice(tc_fun(X79,X80)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).

fof(f793,plain,
    spl0_46,
    inference(avatar_split_clause,[],[f510,f791]) ).

fof(f791,plain,
    ( spl0_46
  <=> ! [X41,X72,X39] : c_Message_Omsg_OCrypt(X39,X41) != c_Message_Omsg_ONonce(X72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f510,axiom,
    ! [X41,X39,X72] : c_Message_Omsg_OCrypt(X39,X41) != c_Message_Omsg_ONonce(X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).

fof(f789,plain,
    spl0_45,
    inference(avatar_split_clause,[],[f502,f787]) ).

fof(f787,plain,
    ( spl0_45
  <=> ! [X43,X72,X42] : c_Message_Omsg_OMPair(X42,X43) != c_Message_Omsg_ONonce(X72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f502,axiom,
    ! [X72,X42,X43] : c_Message_Omsg_OMPair(X42,X43) != c_Message_Omsg_ONonce(X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).

fof(f785,plain,
    spl0_44,
    inference(avatar_split_clause,[],[f494,f783]) ).

fof(f783,plain,
    ( spl0_44
  <=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oanalz(c_Message_Oparts(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f494,axiom,
    ! [X1] : c_Message_Oparts(X1) = c_Message_Oanalz(c_Message_Oparts(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).

fof(f781,plain,
    spl0_43,
    inference(avatar_split_clause,[],[f493,f779]) ).

fof(f779,plain,
    ( spl0_43
  <=> ! [X39,X72] : hAPP(c_Message_Omsg_OKey,X39) != c_Message_Omsg_ONonce(X72) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f493,axiom,
    ! [X72,X39] : hAPP(c_Message_Omsg_OKey,X39) != c_Message_Omsg_ONonce(X72),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I30_J_0) ).

fof(f777,plain,
    spl0_42,
    inference(avatar_split_clause,[],[f491,f775]) ).

fof(f775,plain,
    ( spl0_42
  <=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oparts(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f491,axiom,
    ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oparts(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).

fof(f773,plain,
    spl0_41,
    inference(avatar_split_clause,[],[f468,f771]) ).

fof(f771,plain,
    ( spl0_41
  <=> ! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Message_Oanalz(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f468,axiom,
    ! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Message_Oanalz(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).

fof(f769,plain,
    spl0_40,
    inference(avatar_split_clause,[],[f466,f767]) ).

fof(f767,plain,
    ( spl0_40
  <=> ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f466,axiom,
    ! [X1] : c_Message_Oparts(X1) = c_Message_Oparts(c_Message_Oanalz(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).

fof(f765,plain,
    spl0_39,
    inference(avatar_split_clause,[],[f410,f762]) ).

fof(f762,plain,
    ( spl0_39
  <=> 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_39])]) ).

fof(f410,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/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).

fof(f760,plain,
    spl0_38,
    inference(avatar_split_clause,[],[f398,f758]) ).

fof(f758,plain,
    ( spl0_38
  <=> ! [X16,X11] :
        ( ~ class_Orderings_Opreorder(X16)
        | c_lessequals(X11,X11,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f398,axiom,
    ! [X11,X16] :
      ( ~ class_Orderings_Opreorder(X16)
      | c_lessequals(X11,X11,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).

fof(f756,plain,
    spl0_37,
    inference(avatar_split_clause,[],[f397,f754]) ).

fof(f754,plain,
    ( spl0_37
  <=> ! [X16,X11] :
        ( ~ class_Orderings_Oorder(X16)
        | c_lessequals(X11,X11,X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f397,axiom,
    ! [X11,X16] :
      ( ~ class_Orderings_Oorder(X16)
      | c_lessequals(X11,X11,X16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).

fof(f752,plain,
    spl0_36,
    inference(avatar_split_clause,[],[f394,f750]) ).

fof(f750,plain,
    ( spl0_36
  <=> ! [X16,X3] : c_lessequals(X3,X3,tc_fun(X16,tc_bool)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f394,axiom,
    ! [X3,X16] : c_lessequals(X3,X3,tc_fun(X16,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).

fof(f748,plain,
    spl0_35,
    inference(avatar_split_clause,[],[f386,f746]) ).

fof(f746,plain,
    ( spl0_35
  <=> ! [X21,X17,X3] : c_Public_OshrK(X3) != c_Public_OpublicKey(X17,X21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f386,axiom,
    ! [X21,X3,X17] : c_Public_OshrK(X3) != c_Public_OpublicKey(X17,X21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).

fof(f744,plain,
    spl0_34,
    inference(avatar_split_clause,[],[f336,f742]) ).

fof(f742,plain,
    ( spl0_34
  <=> ! [X3] : c_Public_OshrK(X3) = c_Message_OinvKey(c_Public_OshrK(X3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f336,axiom,
    ! [X3] : c_Public_OshrK(X3) = c_Message_OinvKey(c_Public_OshrK(X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).

fof(f740,plain,
    spl0_33,
    inference(avatar_split_clause,[],[f218,f738]) ).

fof(f738,plain,
    ( spl0_33
  <=> ! [X53,X1] : c_in(c_Message_Omsg_OAgent(X53),c_Message_Osynth(X1),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f218,axiom,
    ! [X1,X53] : c_in(c_Message_Omsg_OAgent(X53),c_Message_Osynth(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OAgent_0) ).

fof(f736,plain,
    spl0_32,
    inference(avatar_split_clause,[],[f205,f734]) ).

fof(f734,plain,
    ( spl0_32
  <=> ! [X1] : c_Message_Osynth(X1) = c_Message_Osynth(c_Message_Osynth(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f205,axiom,
    ! [X1] : c_Message_Osynth(X1) = c_Message_Osynth(c_Message_Osynth(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).

fof(f732,plain,
    spl0_31,
    inference(avatar_split_clause,[],[f202,f730]) ).

fof(f730,plain,
    ( spl0_31
  <=> ! [X25,X16,X11] : c_List_Olist_OCons(X11,X25,X16) != X25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f202,axiom,
    ! [X11,X16,X25] : c_List_Olist_OCons(X11,X25,X16) != X25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).

fof(f728,plain,
    spl0_30,
    inference(avatar_split_clause,[],[f149,f726]) ).

fof(f726,plain,
    ( spl0_30
  <=> ! [X43,X40,X42] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_OMPair(X42,X43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f149,axiom,
    ! [X40,X42,X43] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_OMPair(X42,X43),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).

fof(f724,plain,
    spl0_29,
    inference(avatar_split_clause,[],[f133,f722]) ).

fof(f722,plain,
    ( spl0_29
  <=> ! [X41,X40,X39] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_OCrypt(X39,X41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f133,axiom,
    ! [X40,X41,X39] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_OCrypt(X39,X41),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).

fof(f720,plain,
    spl0_28,
    inference(avatar_split_clause,[],[f129,f718]) ).

fof(f718,plain,
    ( spl0_28
  <=> ! [X39,X40] : hAPP(c_Message_Omsg_OKey,X39) != c_Message_Omsg_OAgent(X40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f129,axiom,
    ! [X40,X39] : hAPP(c_Message_Omsg_OKey,X39) != c_Message_Omsg_OAgent(X40),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).

fof(f716,plain,
    spl0_27,
    inference(avatar_split_clause,[],[f14,f714]) ).

fof(f714,plain,
    ( spl0_27
  <=> ! [X17,X3] : ~ c_in(c_Public_OpublicKey(X17,X3),c_Message_OsymKeys,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f14,axiom,
    ! [X3,X17] : ~ c_in(c_Public_OpublicKey(X17,X3),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).

fof(f712,plain,
    spl0_26,
    inference(avatar_split_clause,[],[f385,f710]) ).

fof(f710,plain,
    ( spl0_26
  <=> ! [X5] : c_Message_OinvKey(c_Message_OinvKey(X5)) = X5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f385,axiom,
    ! [X5] : c_Message_OinvKey(c_Message_OinvKey(X5)) = X5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).

fof(f708,plain,
    spl0_25,
    inference(avatar_split_clause,[],[f237,f706]) ).

fof(f706,plain,
    ( spl0_25
  <=> ! [X40,X39] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_ONonce(X39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f237,axiom,
    ! [X40,X39] : c_Message_Omsg_OAgent(X40) != c_Message_Omsg_ONonce(X39),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).

fof(f704,plain,
    spl0_24,
    inference(avatar_split_clause,[],[f76,f702]) ).

fof(f702,plain,
    ( spl0_24
  <=> ! [X0] : c_in(c_Public_OshrK(X0),c_Message_OsymKeys,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f76,axiom,
    ! [X0] : c_in(c_Public_OshrK(X0),c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__shrK_0) ).

fof(f700,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f488,f697]) ).

fof(f697,plain,
    ( spl0_23
  <=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f488,axiom,
    c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).

fof(f695,plain,
    ~ spl0_22,
    inference(avatar_split_clause,[],[f317,f692]) ).

fof(f692,plain,
    ( spl0_22
  <=> c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f317,axiom,
    ~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).

fof(f690,plain,
    ( spl0_21
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f685,f681,f687]) ).

fof(f681,plain,
    ( spl0_20
  <=> 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_20])]) ).

fof(f685,plain,
    ( 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_Orderings_Obot__class_Obot(tc_fun(tc_Event_Oevent,tc_bool)),tc_Event_Oevent)
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f683,f273]) ).

fof(f273,axiom,
    ! [X16] : c_Orderings_Obot__class_Obot(tc_fun(X16,tc_bool)) = c_List_Oset(c_List_Olist_ONil(X16),X16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_1) ).

fof(f683,plain,
    ( 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)
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f681]) ).

fof(f684,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f530,f681]) ).

fof(f530,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f679,plain,
    ~ spl0_19,
    inference(avatar_split_clause,[],[f233,f676]) ).

fof(f676,plain,
    ( spl0_19
  <=> c_Message_Oagent_OServer = c_Message_Oagent_OSpy ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f233,axiom,
    c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).

fof(f674,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f7,f671]) ).

fof(f671,plain,
    ( spl0_18
  <=> c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f7,axiom,
    c_NS__Shared__Mirabelle_Ons__sharedp(c_List_Olist_ONil(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).

fof(f669,plain,
    ~ spl0_17,
    inference(avatar_split_clause,[],[f529,f666]) ).

fof(f666,plain,
    ( spl0_17
  <=> 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_17])]) ).

fof(f529,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f664,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f552,f661]) ).

fof(f661,plain,
    ( spl0_16
  <=> class_HOL_Oord(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f552,axiom,
    class_HOL_Oord(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).

fof(f659,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f551,f656]) ).

fof(f656,plain,
    ( spl0_15
  <=> class_Orderings_Obot(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f551,axiom,
    class_Orderings_Obot(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).

fof(f654,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f550,f651]) ).

fof(f651,plain,
    ( spl0_14
  <=> class_Orderings_Oorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f550,axiom,
    class_Orderings_Oorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).

fof(f649,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f549,f646]) ).

fof(f646,plain,
    ( spl0_13
  <=> class_Lattices_Olattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f549,axiom,
    class_Lattices_Olattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).

fof(f644,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f548,f641]) ).

fof(f641,plain,
    ( spl0_12
  <=> class_Orderings_Opreorder(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f548,axiom,
    class_Orderings_Opreorder(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).

fof(f639,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f547,f636]) ).

fof(f636,plain,
    ( spl0_11
  <=> class_Lattices_Obounded__lattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f547,axiom,
    class_Lattices_Obounded__lattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).

fof(f634,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f546,f631]) ).

fof(f631,plain,
    ( spl0_10
  <=> class_Lattices_Oupper__semilattice(tc_bool) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f546,axiom,
    class_Lattices_Oupper__semilattice(tc_bool),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).

fof(f629,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f545,f626]) ).

fof(f626,plain,
    ( spl0_9
  <=> class_HOL_Oord(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f545,axiom,
    class_HOL_Oord(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).

fof(f624,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f544,f621]) ).

fof(f621,plain,
    ( spl0_8
  <=> class_Orderings_Obot(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f544,axiom,
    class_Orderings_Obot(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).

fof(f619,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f543,f616]) ).

fof(f616,plain,
    ( spl0_7
  <=> class_Orderings_Oorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f543,axiom,
    class_Orderings_Oorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).

fof(f614,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f542,f611]) ).

fof(f611,plain,
    ( spl0_6
  <=> class_Lattices_Olattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f542,axiom,
    class_Lattices_Olattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).

fof(f609,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f541,f606]) ).

fof(f606,plain,
    ( spl0_5
  <=> class_Orderings_Olinorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f541,axiom,
    class_Orderings_Olinorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).

fof(f604,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f540,f601]) ).

fof(f601,plain,
    ( spl0_4
  <=> class_Orderings_Opreorder(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f540,axiom,
    class_Orderings_Opreorder(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).

fof(f599,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f539,f596]) ).

fof(f596,plain,
    ( spl0_3
  <=> class_Lattices_Oupper__semilattice(tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f539,axiom,
    class_Lattices_Oupper__semilattice(tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).

fof(f594,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f528,f591]) ).

fof(f591,plain,
    ( spl0_2
  <=> c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f528,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f589,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f527,f586]) ).

fof(f586,plain,
    ( spl0_1
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f527,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV811-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 21:01:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (20649)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (20657)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.41  % (20660)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.42  % (20659)WARNING: value z3 for option sas not known
% 0.20/0.43  % (20659)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 theBenchmark for (569ds/0Mi)
% 0.20/0.43  % (20658)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.43  % (20661)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 theBenchmark for (531ds/0Mi)
% 0.20/0.43  % (20662)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 theBenchmark for (522ds/0Mi)
% 0.20/0.43  % (20663)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 theBenchmark for (497ds/0Mi)
% 0.20/0.47  % (20661)First to succeed.
% 0.20/0.47  % (20661)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20649"
% 0.20/0.47  % (20662)Also succeeded, but the first one will report.
% 0.20/0.47  % (20661)Refutation found. Thanks to Tanya!
% 0.20/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (20661)------------------------------
% 0.20/0.48  % (20661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.48  % (20661)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (20661)Memory used [KB]: 1496
% 0.20/0.48  % (20661)Time elapsed: 0.048 s
% 0.20/0.48  % (20661)Instructions burned: 48 (million)
% 0.20/0.48  % (20649)Success in time 0.123 s
%------------------------------------------------------------------------------