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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP205^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:08:49 AM UTC 2026

% Result   : Theorem 3.46s 0.95s
% Output   : Refutation 3.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   67 (  33 unt;   0 typ;   5 def)
%            Number of atoms       :  223 (  56 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  969 (  43   ~;  35   |;   0   &; 874   @)
%                                         (   5 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   11 (  10 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  162 ( 159 usr;  12 con; 0-4 aty)
%            Number of variables   :   65 (   0 sgn  65   !;   0   ?;  65   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc1418842292n_game: $tType ).

thf(type_def_6,type,
    set_Pr1625152599n_game: $tType ).

thf(type_def_7,type,
    set_Pr166476775n_game: $tType ).

thf(type_def_8,type,
    produc1016592119n_game: $tType ).

thf(type_def_9,type,
    produc1078154247n_game: $tType ).

thf(type_def_10,type,
    produc735959047riable: $tType ).

thf(type_def_11,type,
    option_game: $tType ).

thf(type_def_12,type,
    set_variable: $tType ).

thf(type_def_13,type,
    variable: $tType ).

thf(type_def_14,type,
    game: $tType ).

thf(type_def_15,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    bNF_Ca1986151756riable: set_Pr1625152599n_game > ( option_game > set_variable ) > $o ).

thf(func_def_1,type,
    bNF_fs984229733n_game: ( set_variable > option_game > $o ) > ( option_game > option_game > $o ) > produc1078154247n_game > produc1078154247n_game ).

thf(func_def_2,type,
    bNF_pi856525207n_game: ( set_variable > option_game > $o ) > ( option_game > option_game > $o ) > set_variable > option_game > option_game ).

thf(func_def_3,type,
    bNF_pi1813424679n_game: ( set_variable > set_variable > $o ) > ( set_variable > option_game > $o ) > set_variable > option_game > set_variable ).

thf(func_def_4,type,
    bNF_sn1374695591n_game: ( set_variable > option_game > $o ) > ( option_game > option_game > $o ) > produc1078154247n_game > produc1016592119n_game ).

thf(func_def_5,type,
    bNF_sn582998327n_game: ( set_variable > set_variable > $o ) > ( set_variable > option_game > $o ) > produc1078154247n_game > produc1078154247n_game ).

thf(func_def_6,type,
    sup_su169929796game_o: ( option_game > option_game > $o ) > ( option_game > option_game > $o ) > option_game > option_game > $o ).

thf(func_def_7,type,
    sup_su1229228248game_o: ( option_game > $o ) > ( option_game > $o ) > option_game > $o ).

thf(func_def_8,type,
    sup_su1227468340game_o: ( set_variable > option_game > $o ) > ( set_variable > option_game > $o ) > set_variable > option_game > $o ).

thf(func_def_9,type,
    sup_sup_variable_o: ( variable > $o ) > ( variable > $o ) > variable > $o ).

thf(func_def_10,type,
    sup_sup_o: $o > $o > $o ).

thf(func_def_11,type,
    sup_su423136299n_game: set_Pr1625152599n_game > set_Pr1625152599n_game > set_Pr1625152599n_game ).

thf(func_def_12,type,
    sup_su796825019n_game: set_Pr166476775n_game > set_Pr166476775n_game > set_Pr166476775n_game ).

thf(func_def_13,type,
    sup_sup_set_variable: set_variable > set_variable > set_variable ).

thf(func_def_14,type,
    none_game: option_game ).

thf(func_def_15,type,
    some_game: game > option_game ).

thf(func_def_16,type,
    the_game: option_game > game ).

thf(func_def_17,type,
    ord_le707292176game_o: ( option_game > option_game > $o ) > ( option_game > option_game > $o ) > $o ).

thf(func_def_18,type,
    ord_le2134856704game_o: ( set_variable > option_game > $o ) > ( set_variable > option_game > $o ) > $o ).

thf(func_def_19,type,
    ord_le1407353162able_o: ( variable > $o ) > ( variable > $o ) > $o ).

thf(func_def_20,type,
    ord_le1780499447n_game: set_Pr1625152599n_game > set_Pr1625152599n_game > $o ).

thf(func_def_21,type,
    ord_le17855367n_game: set_Pr166476775n_game > set_Pr166476775n_game > $o ).

thf(func_def_22,type,
    ord_le282106107riable: set_variable > set_variable > $o ).

thf(func_def_23,type,
    order_272405634riable: ( set_variable > $o ) > set_variable ).

thf(func_def_24,type,
    produc1111617711n_game: option_game > option_game > produc1016592119n_game ).

thf(func_def_25,type,
    produc1140431679riable: option_game > set_variable > produc735959047riable ).

thf(func_def_26,type,
    produc1149443391n_game: set_variable > option_game > produc1078154247n_game ).

thf(func_def_27,type,
    produc1942569115n_game: produc1016592119n_game > option_game ).

thf(func_def_28,type,
    produc884810027riable: produc735959047riable > option_game ).

thf(func_def_29,type,
    produc893821739n_game: produc1078154247n_game > set_variable ).

thf(func_def_30,type,
    produc279011037n_game: produc1016592119n_game > option_game ).

thf(func_def_31,type,
    produc284475501riable: produc735959047riable > set_variable ).

thf(func_def_32,type,
    produc293487213n_game: produc1078154247n_game > option_game ).

thf(func_def_33,type,
    produc1696194127n_game: produc1016592119n_game > produc1016592119n_game ).

thf(func_def_34,type,
    produc345397471riable: produc735959047riable > produc1078154247n_game ).

thf(func_def_35,type,
    produc354409183n_game: produc1078154247n_game > produc735959047riable ).

thf(func_def_36,type,
    collec884051426n_game: ( produc1016592119n_game > $o ) > set_Pr1625152599n_game ).

thf(func_def_37,type,
    collec1702522994n_game: ( produc1078154247n_game > $o ) > set_Pr166476775n_game ).

thf(func_def_38,type,
    collect_variable: ( variable > $o ) > set_variable ).

thf(func_def_39,type,
    static_BVG: game > set_variable ).

thf(func_def_40,type,
    choice: game > game > game ).

thf(func_def_41,type,
    compose: game > game > game ).

thf(func_def_42,type,
    loop: game > game ).

thf(func_def_43,type,
    uSubst1484167963hoiceo: option_game > option_game > option_game ).

thf(func_def_44,type,
    uSubst532817840mposeo: option_game > option_game > option_game ).

thf(func_def_45,type,
    uSubst23177304_Loopo: option_game > option_game ).

thf(func_def_46,type,
    uSubst516392814stappp: produc1418842292n_game > set_variable > game > produc1078154247n_game ).

thf(func_def_47,type,
    member191809696n_game: produc1016592119n_game > set_Pr1625152599n_game > $o ).

thf(func_def_48,type,
    member171223600n_game: produc1078154247n_game > set_Pr166476775n_game > $o ).

thf(func_def_49,type,
    member_variable: variable > set_variable > $o ).

thf(func_def_50,type,
    ua: set_variable ).

thf(func_def_51,type,
    alpha: game ).

thf(func_def_52,type,
    beta: game ).

thf(func_def_53,type,
    sigma: produc1418842292n_game ).

thf(func_def_57,type,
    vAND: $o > $o > $o ).

thf(func_def_58,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_59,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_60,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_61,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_62,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_63,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_64,type,
    vIMP: $o > $o > $o ).

thf(func_def_65,type,
    vOR: $o > $o > $o ).

thf(func_def_66,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_67,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_68,type,
    sK0: ( set_variable > set_variable ) > set_variable ).

thf(func_def_69,type,
    sK1: ( set_variable > set_variable ) > set_variable ).

thf(func_def_70,type,
    sK2: set_variable > ( variable > $o ) > variable ).

thf(func_def_71,type,
    sK3: set_variable > ( variable > $o ) > variable ).

thf(func_def_72,type,
    sK4: set_variable > set_variable > ( variable > $o ) > variable ).

thf(func_def_73,type,
    sK5: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_74,type,
    sK6: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_75,type,
    sK7: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_76,type,
    sK8: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_77,type,
    sK9: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_78,type,
    sK10: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_79,type,
    sK11: ( set_variable > set_variable > set_variable ) > set_variable ).

thf(func_def_80,type,
    sK12: option_game > ( option_game > option_game > $o ) > option_game > game ).

thf(func_def_81,type,
    sK13: option_game > ( option_game > option_game > $o ) > option_game > game ).

thf(func_def_82,type,
    sK14: set_Pr166476775n_game > set_Pr166476775n_game > option_game ).

thf(func_def_83,type,
    sK15: set_Pr166476775n_game > set_Pr166476775n_game > set_variable ).

thf(func_def_84,type,
    sK16: set_variable > set_variable > set_variable > set_variable ).

thf(func_def_85,type,
    sK17: set_variable > set_variable > set_variable > set_variable ).

thf(func_def_86,type,
    sK18: ( option_game > set_variable > $o ) > set_variable ).

thf(func_def_87,type,
    sK19: ( option_game > set_variable > $o ) > option_game ).

thf(func_def_88,type,
    sK20: option_game > game ).

thf(func_def_89,type,
    sK21: option_game > option_game > game ).

thf(func_def_90,type,
    sK22: ( set_variable > set_variable ) > set_variable ).

thf(func_def_91,type,
    sK23: ( set_variable > set_variable ) > set_variable ).

thf(func_def_92,type,
    sK24: ( variable > $o ) > set_variable > variable ).

thf(func_def_93,type,
    sK25: set_variable > ( variable > $o ) > variable ).

thf(func_def_94,type,
    sK26: set_variable > ( variable > $o ) > set_variable > variable ).

thf(func_def_95,type,
    sK27: produc1016592119n_game > option_game ).

thf(func_def_96,type,
    sK28: produc1016592119n_game > option_game ).

thf(func_def_97,type,
    sK29: ( set_variable > set_variable ) > set_variable ).

thf(func_def_98,type,
    sK30: ( set_variable > set_variable ) > set_variable ).

thf(func_def_99,type,
    sK31: produc1016592119n_game > game ).

thf(func_def_100,type,
    sK32: produc1016592119n_game > game ).

thf(func_def_101,type,
    sK33: produc1016592119n_game > game ).

thf(func_def_102,type,
    sK34: produc1016592119n_game > option_game ).

thf(func_def_103,type,
    sK35: set_Pr166476775n_game > set_Pr166476775n_game > produc1078154247n_game ).

thf(func_def_104,type,
    sK36: set_Pr1625152599n_game > set_Pr1625152599n_game > option_game ).

thf(func_def_105,type,
    sK37: set_Pr1625152599n_game > set_Pr1625152599n_game > option_game ).

thf(func_def_106,type,
    sK38: ( produc1016592119n_game > $o ) > option_game ).

thf(func_def_107,type,
    sK39: ( produc1016592119n_game > $o ) > option_game ).

thf(func_def_108,type,
    sK40: ( variable > $o ) > set_variable > ( variable > $o ) > variable ).

thf(func_def_109,type,
    sK41: ( variable > $o ) > ( variable > $o ) > variable ).

thf(func_def_110,type,
    sK42: ( produc1078154247n_game > $o ) > ( produc1078154247n_game > $o ) > produc1078154247n_game ).

thf(func_def_111,type,
    sK43: set_Pr1625152599n_game > set_Pr1625152599n_game > produc1016592119n_game ).

thf(func_def_112,type,
    sK44: option_game > game ).

thf(func_def_113,type,
    sK45: ( set_variable > $o ) > set_variable > set_variable ).

thf(func_def_114,type,
    sK46: ( produc1078154247n_game > $o ) > option_game ).

thf(func_def_115,type,
    sK47: ( produc1078154247n_game > $o ) > set_variable ).

thf(func_def_116,type,
    sK48: set_variable > ( variable > $o ) > variable ).

thf(func_def_117,type,
    sK49: ( produc1016592119n_game > $o ) > ( produc1016592119n_game > $o ) > produc1016592119n_game ).

thf(func_def_118,type,
    sK50: ( produc1078154247n_game > $o ) > ( produc1078154247n_game > $o ) > produc1078154247n_game ).

thf(func_def_119,type,
    sK51: produc1078154247n_game > set_variable ).

thf(func_def_120,type,
    sK52: produc1078154247n_game > option_game ).

thf(func_def_121,type,
    sK53: option_game > game ).

thf(func_def_122,type,
    sK54: option_game > option_game > option_game > game ).

thf(func_def_123,type,
    sK55: option_game > option_game > option_game > game ).

thf(func_def_124,type,
    sK56: produc1016592119n_game > option_game ).

thf(func_def_125,type,
    sK57: produc1016592119n_game > option_game ).

thf(func_def_126,type,
    sK58: option_game > produc1078154247n_game > set_variable ).

thf(func_def_127,type,
    sK59: produc1016592119n_game > option_game > option_game ).

thf(func_def_128,type,
    sK60: set_variable > produc1078154247n_game > option_game ).

thf(func_def_129,type,
    sK61: option_game > game ).

thf(func_def_130,type,
    sK62: ( produc1078154247n_game > $o ) > option_game ).

thf(func_def_131,type,
    sK63: ( produc1078154247n_game > $o ) > set_variable ).

thf(func_def_132,type,
    sK64: option_game > option_game > option_game > game ).

thf(func_def_133,type,
    sK65: option_game > option_game > option_game > game ).

thf(func_def_134,type,
    sK66: option_game > game ).

thf(func_def_135,type,
    sK67: ( option_game > option_game > $o ) > game ).

thf(func_def_136,type,
    sK68: ( option_game > option_game > $o ) > option_game ).

thf(func_def_137,type,
    sK69: ( option_game > option_game > $o ) > game ).

thf(func_def_138,type,
    sK70: ( option_game > option_game > $o ) > game ).

thf(func_def_139,type,
    sK71: ( set_variable > $o ) > set_variable > set_variable ).

thf(func_def_140,type,
    sK72: ( set_variable > $o ) > ( set_variable > $o ) > set_variable ).

thf(func_def_141,type,
    sK73: option_game > game ).

thf(func_def_142,type,
    sK74: option_game > produc1016592119n_game > option_game ).

thf(func_def_143,type,
    sK75: ( produc1016592119n_game > $o ) > ( produc1016592119n_game > $o ) > produc1016592119n_game ).

thf(func_def_144,type,
    sK76: produc1078154247n_game > option_game ).

thf(func_def_145,type,
    sK77: produc1078154247n_game > set_variable ).

thf(func_def_146,type,
    sK78: ( set_variable > set_variable ) > set_variable ).

thf(func_def_147,type,
    sK79: ( set_variable > set_variable ) > set_variable ).

thf(func_def_148,type,
    sK80: set_variable > set_variable > variable ).

thf(func_def_149,type,
    sK81: ( option_game > $o ) > game ).

thf(func_def_150,type,
    sK82: ( variable > $o ) > ( variable > $o ) > variable ).

thf(func_def_151,type,
    sK83: option_game > game ).

thf(func_def_152,type,
    sK84: ( option_game > $o ) > game ).

thf(func_def_153,type,
    sK85: ( produc1016592119n_game > $o ) > option_game ).

thf(func_def_154,type,
    sK86: ( produc1016592119n_game > $o ) > option_game ).

thf(func_def_155,type,
    vNOT: $o > $o ).

thf(f1,axiom,
    ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062U_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_J_A_092_060union_062_ABVG_A_Ithe_A_Isnd_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_J_J_A_092_060subseteq_062_Afst_A_Iusubstappp_A_092_060sigma_062_A_Ifst_A_Iusubstappp_A_092_060sigma_062_AU_A_092_060alpha_062_J_J_A_092_060beta_062_J_092_060close_062) ).

thf(f2,axiom,
    ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_fact) ).

thf(f149,axiom,
    ! [X2: set_variable,X1: set_variable,X0: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X0 @ X1 ) @ X2 )
      = ( sup_sup_set_variable @ X0 @ ( sup_sup_set_variable @ X1 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_inf__sup__aci_I6_J) ).

thf(f182,axiom,
    ! [X1: set_variable,X2: set_variable,X3: set_variable,X0: set_variable] :
      ( ( ord_le282106107riable @ X0 @ X1 )
     => ( ( ord_le282106107riable @ X2 @ X3 )
       => ( ord_le282106107riable @ ( sup_sup_set_variable @ X0 @ X2 ) @ ( sup_sup_set_variable @ X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_181_sup__mono) ).

thf(f222,axiom,
    ! [X2: set_variable,X1: set_variable,X0: set_variable] :
      ( ( ord_le282106107riable @ X0 @ X1 )
     => ( ( ord_le282106107riable @ X1 @ X2 )
       => ( ord_le282106107riable @ X0 @ X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_221_order_Otrans) ).

thf(f229,axiom,
    ! [X0: set_variable] : ( ord_le282106107riable @ X0 @ X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_228_dual__order_Orefl) ).

thf(f355,conjecture,
    ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f356,negated_conjecture,
    ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
    inference(negated_conjecture,[status(cth)],[f355]) ).

thf(f455,plain,
    ~ ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ),
    inference(rectify,[],[f356]) ).

thf(f456,plain,
    ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
   != $true ),
    inference(fool_elimination,[],[f455]) ).

thf(f487,plain,
    ! [X0: set_variable,X1: set_variable,X2: set_variable] :
      ( ( ord_le282106107riable @ X2 @ X1 )
     => ( ( ord_le282106107riable @ X1 @ X0 )
       => ( ord_le282106107riable @ X2 @ X0 ) ) ),
    inference(rectify,[],[f222]) ).

thf(f488,plain,
    ! [X1: set_variable,X2: set_variable,X0: set_variable] :
      ( ( ( ord_le282106107riable @ X2 @ X1 )
        = $true )
     => ( ( ( ord_le282106107riable @ X1 @ X0 )
          = $true )
       => ( ( ord_le282106107riable @ X2 @ X0 )
          = $true ) ) ),
    inference(fool_elimination,[],[f487]) ).

thf(f551,plain,
    ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ),
    inference(rectify,[],[f2]) ).

thf(f552,plain,
    ( ( ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f551]) ).

thf(f587,plain,
    ! [X0: set_variable] : ( ord_le282106107riable @ X0 @ X0 ),
    inference(rectify,[],[f229]) ).

thf(f588,plain,
    ! [X0: set_variable] :
      ( ( ord_le282106107riable @ X0 @ X0 )
      = $true ),
    inference(fool_elimination,[],[f587]) ).

thf(f617,plain,
    ! [X0: set_variable,X1: set_variable,X2: set_variable,X3: set_variable] :
      ( ( ord_le282106107riable @ X3 @ X0 )
     => ( ( ord_le282106107riable @ X1 @ X2 )
       => ( ord_le282106107riable @ ( sup_sup_set_variable @ X3 @ X1 ) @ ( sup_sup_set_variable @ X0 @ X2 ) ) ) ),
    inference(rectify,[],[f182]) ).

thf(f618,plain,
    ! [X0: set_variable,X3: set_variable,X2: set_variable,X1: set_variable] :
      ( ( $true
        = ( ord_le282106107riable @ X3 @ X0 ) )
     => ( ( ( ord_le282106107riable @ X1 @ X2 )
          = $true )
       => ( $true
          = ( ord_le282106107riable @ ( sup_sup_set_variable @ X3 @ X1 ) @ ( sup_sup_set_variable @ X0 @ X2 ) ) ) ) ),
    inference(fool_elimination,[],[f617]) ).

thf(f744,plain,
    ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ),
    inference(rectify,[],[f1]) ).

thf(f745,plain,
    ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
    = $true ),
    inference(fool_elimination,[],[f744]) ).

thf(f768,plain,
    ! [X0: set_variable,X2: set_variable,X1: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X2 @ X1 ) @ X0 )
      = ( sup_sup_set_variable @ X2 @ ( sup_sup_set_variable @ X1 @ X0 ) ) ),
    inference(rectify,[],[f149]) ).

thf(f785,plain,
    ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
   != $true ),
    inference(flattening,[],[f456]) ).

thf(f955,plain,
    ! [X1: set_variable,X2: set_variable,X0: set_variable] :
      ( ( ( ord_le282106107riable @ X2 @ X0 )
        = $true )
      | ( ( ord_le282106107riable @ X1 @ X0 )
       != $true )
      | ( ( ord_le282106107riable @ X2 @ X1 )
       != $true ) ),
    inference(ennf_transformation,[],[f488]) ).

thf(f956,plain,
    ! [X0: set_variable,X2: set_variable,X1: set_variable] :
      ( ( ( ord_le282106107riable @ X1 @ X0 )
       != $true )
      | ( ( ord_le282106107riable @ X2 @ X1 )
       != $true )
      | ( ( ord_le282106107riable @ X2 @ X0 )
        = $true ) ),
    inference(flattening,[],[f955]) ).

thf(f957,plain,
    ! [X0: set_variable,X3: set_variable,X2: set_variable,X1: set_variable] :
      ( ( $true
        = ( ord_le282106107riable @ ( sup_sup_set_variable @ X3 @ X1 ) @ ( sup_sup_set_variable @ X0 @ X2 ) ) )
      | ( ( ord_le282106107riable @ X1 @ X2 )
       != $true )
      | ( $true
       != ( ord_le282106107riable @ X3 @ X0 ) ) ),
    inference(ennf_transformation,[],[f618]) ).

thf(f958,plain,
    ! [X2: set_variable,X3: set_variable,X1: set_variable,X0: set_variable] :
      ( ( $true
        = ( ord_le282106107riable @ ( sup_sup_set_variable @ X3 @ X1 ) @ ( sup_sup_set_variable @ X0 @ X2 ) ) )
      | ( $true
       != ( ord_le282106107riable @ X3 @ X0 ) )
      | ( ( ord_le282106107riable @ X1 @ X2 )
       != $true ) ),
    inference(flattening,[],[f957]) ).

thf(f1047,plain,
    ! [X0: set_variable,X1: set_variable,X2: set_variable,X3: set_variable] :
      ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ X1 @ X2 ) @ ( sup_sup_set_variable @ X3 @ X0 ) )
        = $true )
      | ( ( ord_le282106107riable @ X1 @ X3 )
       != $true )
      | ( ( ord_le282106107riable @ X2 @ X0 )
       != $true ) ),
    inference(rectify,[],[f958]) ).

thf(f1053,plain,
    ! [X0: set_variable,X1: set_variable,X2: set_variable] :
      ( ( ( ord_le282106107riable @ X2 @ X0 )
       != $true )
      | ( ( ord_le282106107riable @ X1 @ X2 )
       != $true )
      | ( ( ord_le282106107riable @ X1 @ X0 )
        = $true ) ),
    inference(rectify,[],[f956]) ).

thf(f1167,plain,
    ! [X0: set_variable,X1: set_variable,X2: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X1 @ X2 ) @ X0 )
      = ( sup_sup_set_variable @ X1 @ ( sup_sup_set_variable @ X2 @ X0 ) ) ),
    inference(rectify,[],[f768]) ).

thf(f1371,plain,
    ! [X2: set_variable,X3: set_variable,X0: set_variable,X1: set_variable] :
      ( ( ( ord_le282106107riable @ X2 @ X0 )
       != $true )
      | ( ( ord_le282106107riable @ ( sup_sup_set_variable @ X1 @ X2 ) @ ( sup_sup_set_variable @ X3 @ X0 ) )
        = $true )
      | ( ( ord_le282106107riable @ X1 @ X3 )
       != $true ) ),
    inference(cnf_transformation,[],[f1047]) ).

thf(f1381,plain,
    ! [X2: set_variable,X0: set_variable,X1: set_variable] :
      ( ( ( ord_le282106107riable @ X2 @ X0 )
       != $true )
      | ( ( ord_le282106107riable @ X1 @ X0 )
        = $true )
      | ( ( ord_le282106107riable @ X1 @ X2 )
       != $true ) ),
    inference(cnf_transformation,[],[f1053]) ).

thf(f1468,plain,
    ( ( ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f552]) ).

thf(f1474,plain,
    ! [X0: set_variable] :
      ( ( ord_le282106107riable @ X0 @ X0 )
      = $true ),
    inference(cnf_transformation,[],[f588]) ).

thf(f1587,plain,
    ! [X2: set_variable,X0: set_variable,X1: set_variable] :
      ( ( sup_sup_set_variable @ ( sup_sup_set_variable @ X1 @ X2 ) @ X0 )
      = ( sup_sup_set_variable @ X1 @ ( sup_sup_set_variable @ X2 @ X0 ) ) ),
    inference(cnf_transformation,[],[f1167]) ).

thf(f1588,plain,
    ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
    = $true ),
    inference(cnf_transformation,[],[f745]) ).

thf(f1639,plain,
    ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
   != $true ),
    inference(cnf_transformation,[],[f785]) ).

thf(f2116,definition,
    ( spl87_15
  <=> ( ( ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl87_15])],[avatar_definition]) ).

thf(f2118,plain,
    ( ( ( ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) )
      = $true )
    | ~ spl87_15 ),
    inference(avatar_component_clause,[],[f2116]) ).

thf(f2119,plain,
    spl87_15,
    inference(avatar_split_clause,[],[f1468,f2116]) ).

thf(f2166,definition,
    ( spl87_25
  <=> ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl87_25])],[avatar_definition]) ).

thf(f2168,plain,
    ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
     != $true )
    | spl87_25 ),
    inference(avatar_component_clause,[],[f2166]) ).

thf(f2169,plain,
    ~ spl87_25,
    inference(avatar_split_clause,[],[f1639,f2166]) ).

thf(f2196,definition,
    ( spl87_31
  <=> ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl87_31])],[avatar_definition]) ).

thf(f2198,plain,
    ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) )
      = $true )
    | ~ spl87_31 ),
    inference(avatar_component_clause,[],[f2196]) ).

thf(f2199,plain,
    spl87_31,
    inference(avatar_split_clause,[],[f1588,f2196]) ).

thf(f4778,plain,
    ( ( $true
      = ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) )
    | ~ spl87_31 ),
    inference(forward_demodulation,[],[f2198,f1587]) ).

thf(f4780,definition,
    ( spl87_180
  <=> ( $true
      = ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl87_180])],[avatar_definition]) ).

thf(f4782,plain,
    ( ( $true
      = ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) )
    | ~ spl87_180 ),
    inference(avatar_component_clause,[],[f4780]) ).

thf(f4783,plain,
    ( spl87_180
    | ~ spl87_31 ),
    inference(avatar_split_clause,[],[f4778,f2196,f4780]) ).

thf(f4812,plain,
    ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) )
     != $true )
    | spl87_25
    | ~ spl87_180 ),
    inference(unit_resulting_resolution,[],[f1381,f2168,f4782]) ).

thf(f4928,definition,
    ( spl87_188
  <=> ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl87_188])],[avatar_definition]) ).

thf(f4930,plain,
    ( ( ( ord_le282106107riable @ ( sup_sup_set_variable @ ua @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) ) @ ( sup_sup_set_variable @ ua @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) ) )
     != $true )
    | spl87_188 ),
    inference(avatar_component_clause,[],[f4928]) ).

thf(f4931,plain,
    ( ~ spl87_188
    | spl87_25
    | ~ spl87_180 ),
    inference(avatar_split_clause,[],[f4812,f4780,f2166,f4928]) ).

thf(f5157,plain,
    ( ( ( ord_le282106107riable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ ( compose @ alpha @ beta ) ) ) ) ) @ ( sup_sup_set_variable @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) ) ) @ ( static_BVG @ ( the_game @ ( produc293487213n_game @ ( uSubst516392814stappp @ sigma @ ( produc893821739n_game @ ( uSubst516392814stappp @ sigma @ ua @ alpha ) ) @ beta ) ) ) ) ) )
     != $true )
    | spl87_188 ),
    inference(unit_resulting_resolution,[],[f1371,f1474,f4930]) ).

thf(f5217,plain,
    ( $false
    | ~ spl87_15
    | spl87_188 ),
    inference(forward_subsumption_resolution,[],[f5157,f2118]) ).

thf(f5218,plain,
    ( ~ spl87_15
    | spl87_188 ),
    inference(avatar_contradiction_clause,[],[f5217]) ).

cnf(s17,plain,
    spl87_15,
    inference(sat_conversion,[],[f2119]) ).

cnf(s30,plain,
    ~ spl87_25,
    inference(sat_conversion,[],[f2169]) ).

cnf(s47,plain,
    spl87_31,
    inference(sat_conversion,[],[f2199]) ).

cnf(s228,plain,
    ( ~ spl87_31
    | spl87_180 ),
    inference(sat_conversion,[],[f4783]) ).

cnf(s241,plain,
    ( spl87_25
    | ~ spl87_180
    | ~ spl87_188 ),
    inference(sat_conversion,[],[f4931]) ).

cnf(s271,plain,
    ( ~ spl87_15
    | spl87_188 ),
    inference(sat_conversion,[],[f5218]) ).

cnf(s274,plain,
    spl87_180,
    inference(rat,[],[s228,s47]) ).

cnf(s283,plain,
    ~ spl87_188,
    inference(rat,[],[s241,s274,s30]) ).

cnf(s287,plain,
    ~ spl87_15,
    inference(rat,[],[s271,s283]) ).

cnf(s298,plain,
    $false,
    inference(rat,[],[s17,s287]) ).

thf(f5225,plain,
    $false,
    inference(avatar_sat_refutation,[],[s298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP205^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  % Computer : n008.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Tue Sep 29 20:12:24 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  Running higher-order theorem proving
% 0.22/0.30  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.45  % (3672906)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.31/0.45  % (3672913)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2512891533:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.31/0.45  % (3672912)lrs+10_16_si=on:nwc=1.5:random_seed=4021045014:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.31/0.45  % (3672911)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4146389037:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.31/0.45  % (3672914)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=2348178262:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.31/0.45  % (3672915)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1424128019:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.31/0.45  % (3672913)Instruction limit reached! 
% 0.31/0.45  % (3672913)------------------------------
% 0.31/0.45  % (3672913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45  % (3672913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45  % (3672913)CaDiCaL version: 2.1.3
% 0.31/0.45  % (3672913)Termination reason: Instruction limit
% 0.31/0.45  % (3672913)Termination phase: shuffling
% 0.31/0.45  % (3672913)Time elapsed: 0.003 s
% 0.31/0.45  % (3672913)Peak memory usage: 10 MB
% 0.31/0.45  % (3672913)Instructions burned: 5 (million)
% 0.31/0.45  % (3672912)Instruction limit reached! 
% 0.31/0.45  % (3672912)------------------------------
% 0.31/0.45  % (3672912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45  % (3672912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45  % (3672912)CaDiCaL version: 2.1.3
% 0.31/0.45  % (3672912)Termination reason: Instruction limit
% 0.31/0.45  % (3672912)Termination phase: Property scanning
% 0.31/0.45  % (3672912)Time elapsed: 0.008 s
% 0.31/0.45  % (3672912)Peak memory usage: 10 MB
% 0.31/0.45  % (3672912)Instructions burned: 18 (million)
% 0.31/0.45  % (3672917)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.31/0.45  % (3672917)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.31/0.45  % (3672916)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3109104179:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.31/0.45  % (3672915)Instruction limit reached! 
% 0.31/0.45  % (3672915)------------------------------
% 0.31/0.45  % (3672915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45  % (3672915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45  % (3672915)CaDiCaL version: 2.1.3
% 0.31/0.45  % (3672915)Termination reason: Instruction limit
% 0.31/0.45  % (3672915)Termination phase: Property scanning
% 0.31/0.45  % (3672915)Time elapsed: 0.011 s
% 0.31/0.45  % (3672915)Peak memory usage: 10 MB
% 0.31/0.45  % (3672915)Instructions burned: 25 (million)
% 0.31/0.45  % (3672917)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2316228369:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.31/0.45  % (3672923)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3520894762:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.31/0.45  % (3672923)Instruction limit reached! 
% 0.31/0.45  % (3672923)------------------------------
% 0.31/0.45  % (3672923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.31/0.45  % (3672923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.31/0.45  % (3672923)CaDiCaL version: 2.1.3
% 0.31/0.45  % (3672923)Termination reason: Instruction limit
% 0.31/0.45  % (3672923)Termination phase: shuffling
% 0.31/0.45  % (3672923)Time elapsed: 0.004 s
% 0.31/0.45  % (3672923)Peak memory usage: 10 MB
% 0.31/0.45  % (3672923)Instructions burned: 7 (million)
% 0.31/0.45  % (3672927)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.49  % (3672924)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=8899689:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.08/0.49  % (3672927)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=788272076:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.08/0.49  % (3672924)Instruction limit reached! 
% 1.08/0.49  % (3672924)------------------------------
% 1.08/0.49  % (3672924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49  % (3672924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49  % (3672924)CaDiCaL version: 2.1.3
% 1.08/0.49  % (3672924)Termination reason: Instruction limit
% 1.08/0.49  % (3672924)Termination phase: shuffling
% 1.08/0.49  % (3672924)Time elapsed: 0.003 s
% 1.08/0.49  % (3672924)Peak memory usage: 10 MB
% 1.08/0.49  % (3672924)Instructions burned: 7 (million)
% 1.08/0.49  % (3672927)Instruction limit reached! 
% 1.08/0.49  % (3672927)------------------------------
% 1.08/0.49  % (3672927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49  % (3672927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49  % (3672927)CaDiCaL version: 2.1.3
% 1.08/0.49  % (3672927)Termination reason: Instruction limit
% 1.08/0.49  % (3672927)Termination phase: shuffling
% 1.08/0.49  % (3672927)Time elapsed: 0.004 s
% 1.08/0.49  % (3672927)Peak memory usage: 10 MB
% 1.08/0.49  % (3672927)Instructions burned: 9 (million)
% 1.08/0.49  % (3672911)Instruction limit reached! 
% 1.08/0.49  % (3672911)------------------------------
% 1.08/0.49  % (3672911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49  % (3672911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49  % (3672911)CaDiCaL version: 2.1.3
% 1.08/0.49  % (3672911)Termination reason: Instruction limit
% 1.08/0.49  % (3672911)Termination phase: Property scanning
% 1.08/0.49  % (3672911)Time elapsed: 0.039 s
% 1.08/0.49  % (3672911)Peak memory usage: 12 MB
% 1.08/0.49  % (3672911)Instructions burned: 89 (million)
% 1.08/0.49  % (3672929)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3476986805:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.08/0.49  % (3672916)Instruction limit reached! 
% 1.08/0.49  % (3672916)------------------------------
% 1.08/0.49  % (3672916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49  % (3672916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49  % (3672916)CaDiCaL version: 2.1.3
% 1.08/0.49  % (3672916)Termination reason: Instruction limit
% 1.08/0.49  % (3672916)Termination phase: Function definition elimination
% 1.08/0.49  % (3672916)Time elapsed: 0.034 s
% 1.08/0.49  % (3672916)Peak memory usage: 12 MB
% 1.08/0.49  % (3672916)Instructions burned: 75 (million)
% 1.08/0.49  % (3672932)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.08/0.49  % (3672932)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.49  % (3672932)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2025527984:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.08/0.49  % (3672929)Instruction limit reached! 
% 1.08/0.49  % (3672929)------------------------------
% 1.08/0.49  % (3672929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49  % (3672929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49  % (3672929)CaDiCaL version: 2.1.3
% 1.08/0.49  % (3672929)Termination reason: Instruction limit
% 1.08/0.49  % (3672929)Termination phase: shuffling
% 1.08/0.49  % (3672929)Time elapsed: 0.006 s
% 1.08/0.49  % (3672929)Peak memory usage: 10 MB
% 1.08/0.49  % (3672929)Instructions burned: 13 (million)
% 1.08/0.49  % (3672933)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=3960301127:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.08/0.49  % (3672934)lrs+10_1_si=on:cs=on:random_seed=644065582:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.08/0.53  % (3672936)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.08/0.53  % (3672932)Instruction limit reached! 
% 1.08/0.53  % (3672932)------------------------------
% 1.08/0.53  % (3672932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.53  % (3672932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.53  % (3672932)CaDiCaL version: 2.1.3
% 1.08/0.53  % (3672932)Termination reason: Instruction limit
% 1.08/0.53  % (3672932)Termination phase: shuffling
% 1.08/0.53  % (3672932)Time elapsed: 0.012 s
% 1.08/0.53  % (3672932)Peak memory usage: 10 MB
% 1.08/0.53  % (3672932)Instructions burned: 28 (million)
% 1.08/0.53  % (3672934)Instruction limit reached! 
% 1.08/0.53  % (3672934)------------------------------
% 1.08/0.53  % (3672934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.53  % (3672934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.53  % (3672934)CaDiCaL version: 2.1.3
% 1.08/0.53  % (3672934)Termination reason: Instruction limit
% 1.08/0.53  % (3672934)Termination phase: shuffling
% 1.08/0.53  % (3672934)Time elapsed: 0.004 s
% 1.08/0.53  % (3672934)Peak memory usage: 10 MB
% 1.08/0.53  % (3672934)Instructions burned: 9 (million)
% 1.08/0.53  % (3672936)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3463763975:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.08/0.53  % (3672936)Instruction limit reached! 
% 1.08/0.53  % (3672936)------------------------------
% 1.08/0.53  % (3672936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.53  % (3672936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.53  % (3672936)CaDiCaL version: 2.1.3
% 1.08/0.53  % (3672936)Termination reason: Instruction limit
% 1.08/0.53  % (3672936)Termination phase: shuffling
% 1.08/0.53  % (3672936)Time elapsed: 0.002 s
% 1.08/0.53  % (3672936)Peak memory usage: 10 MB
% 1.08/0.53  % (3672936)Instructions burned: 3 (million)
% 1.08/0.53  % (3672938)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=512663230:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.08/0.53  % (3672941)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3475582845:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.08/0.53  % (3672942)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=932468497:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.08/0.53  % (3672944)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1213084611:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.53  % (3672938)Instruction limit reached! 
% 1.08/0.53  % (3672938)------------------------------
% 1.08/0.53  % (3672938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.53  % (3672938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.53  % (3672938)CaDiCaL version: 2.1.3
% 1.08/0.53  % (3672938)Termination reason: Instruction limit
% 1.08/0.53  % (3672938)Termination phase: Preprocessing 3
% 1.08/0.53  % (3672938)Time elapsed: 0.018 s
% 1.08/0.53  % (3672938)Peak memory usage: 11 MB
% 1.08/0.53  % (3672938)Instructions burned: 40 (million)
% 1.08/0.53  % (3672933)Instruction limit reached! 
% 1.08/0.53  % (3672933)------------------------------
% 1.08/0.53  % (3672933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.53  % (3672933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.53  % (3672933)CaDiCaL version: 2.1.3
% 1.08/0.53  % (3672933)Termination reason: Instruction limit
% 1.08/0.53  % (3672933)Termination phase: Property scanning
% 1.08/0.53  % (3672933)Time elapsed: 0.036 s
% 1.08/0.53  % (3672933)Peak memory usage: 11 MB
% 1.08/0.53  % (3672933)Instructions burned: 87 (million)
% 1.08/0.53  % (3672944)Instruction limit reached! 
% 1.08/0.53  % (3672944)------------------------------
% 1.08/0.53  % (3672944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.53  % (3672944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.53  % (3672944)CaDiCaL version: 2.1.3
% 1.08/0.53  % (3672944)Termination reason: Instruction limit
% 1.08/0.53  % (3672944)Termination phase: shuffling
% 1.83/0.60  % (3672944)Time elapsed: 0.007 s
% 1.83/0.60  % (3672944)Peak memory usage: 10 MB
% 1.83/0.60  % (3672944)Instructions burned: 14 (million)
% 1.83/0.60  % (3672942)Instruction limit reached! 
% 1.83/0.60  % (3672942)------------------------------
% 1.83/0.60  % (3672942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60  % (3672942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60  % (3672942)CaDiCaL version: 2.1.3
% 1.83/0.60  % (3672942)Termination reason: Instruction limit
% 1.83/0.60  % (3672942)Termination phase: Property scanning
% 1.83/0.60  % (3672942)Time elapsed: 0.011 s
% 1.83/0.60  % (3672942)Peak memory usage: 10 MB
% 1.83/0.60  % (3672942)Instructions burned: 25 (million)
% 1.83/0.60  % (3672917)Instruction limit reached! 
% 1.83/0.60  % (3672917)------------------------------
% 1.83/0.60  % (3672917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60  % (3672917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60  % (3672917)CaDiCaL version: 2.1.3
% 1.83/0.60  % (3672917)Termination reason: Instruction limit
% 1.83/0.60  % (3672917)Termination phase: Saturation
% 1.83/0.60  % (3672917)Time elapsed: 0.092 s
% 1.83/0.60  % (3672917)Peak memory usage: 13 MB
% 1.83/0.60  % (3672917)Instructions burned: 159 (million)
% 1.83/0.60  % (3672951)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3331458391:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.83/0.60  % (3672952)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2059793211:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.83/0.60  % (3672951)Instruction limit reached! 
% 1.83/0.60  % (3672951)------------------------------
% 1.83/0.60  % (3672951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60  % (3672951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60  % (3672951)CaDiCaL version: 2.1.3
% 1.83/0.60  % (3672951)Termination reason: Instruction limit
% 1.83/0.60  % (3672951)Termination phase: shuffling
% 1.83/0.60  % (3672951)Time elapsed: 0.001 s
% 1.83/0.60  % (3672951)Peak memory usage: 10 MB
% 1.83/0.60  % (3672951)Instructions burned: 2 (million)
% 1.83/0.60  % (3672949)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1395384983:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.83/0.60  % (3672950)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2754724513:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.83/0.60  % (3672953)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3314611481:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.83/0.60  % (3672952)Instruction limit reached! 
% 1.83/0.60  % (3672952)------------------------------
% 1.83/0.60  % (3672952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60  % (3672952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60  % (3672952)CaDiCaL version: 2.1.3
% 1.83/0.60  % (3672952)Termination reason: Instruction limit
% 1.83/0.60  % (3672952)Termination phase: shuffling
% 1.83/0.60  % (3672952)Time elapsed: 0.011 s
% 1.83/0.60  % (3672952)Peak memory usage: 10 MB
% 1.83/0.60  % (3672952)Instructions burned: 26 (million)
% 1.83/0.60  % (3672950)Instruction limit reached! 
% 1.83/0.60  % (3672950)------------------------------
% 1.83/0.60  % (3672950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60  % (3672950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.60  % (3672950)CaDiCaL version: 2.1.3
% 1.83/0.60  % (3672950)Termination reason: Instruction limit
% 1.83/0.60  % (3672950)Termination phase: shuffling
% 1.83/0.60  % (3672950)Time elapsed: 0.007 s
% 1.83/0.60  % (3672950)Peak memory usage: 10 MB
% 1.83/0.60  % (3672950)Instructions burned: 15 (million)
% 1.83/0.60  % (3672956)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1040110139:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.83/0.60  % (3672953)Instruction limit reached! 
% 1.83/0.60  % (3672953)------------------------------
% 1.83/0.60  % (3672953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.60  % (3672953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.67  % (3672953)CaDiCaL version: 2.1.3
% 2.15/0.67  % (3672953)Termination reason: Instruction limit
% 2.15/0.67  % (3672953)Termination phase: Property scanning
% 2.15/0.67  % (3672953)Time elapsed: 0.011 s
% 2.15/0.67  % (3672953)Peak memory usage: 10 MB
% 2.15/0.67  % (3672953)Instructions burned: 25 (million)
% 2.15/0.67  % (3672960)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.15/0.67  % (3672960)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.15/0.67  % (3672961)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.15/0.67  % (3672960)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=1942542523:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.15/0.67  % (3672961)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3083498981:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.15/0.67  % (3672960)Instruction limit reached! 
% 2.15/0.67  % (3672960)------------------------------
% 2.15/0.67  % (3672960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.67  % (3672960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.67  % (3672960)CaDiCaL version: 2.1.3
% 2.15/0.67  % (3672960)Termination reason: Instruction limit
% 2.15/0.67  % (3672960)Termination phase: shuffling
% 2.15/0.67  % (3672960)Time elapsed: 0.006 s
% 2.15/0.67  % (3672960)Peak memory usage: 10 MB
% 2.15/0.67  % (3672960)Instructions burned: 14 (million)
% 2.15/0.67  % (3672961)Instruction limit reached! 
% 2.15/0.67  % (3672961)------------------------------
% 2.15/0.67  % (3672961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.67  % (3672961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.67  % (3672961)CaDiCaL version: 2.1.3
% 2.15/0.67  % (3672961)Termination reason: Instruction limit
% 2.15/0.67  % (3672961)Termination phase: shuffling
% 2.15/0.67  % (3672961)Time elapsed: 0.004 s
% 2.15/0.67  % (3672961)Peak memory usage: 10 MB
% 2.15/0.67  % (3672961)Instructions burned: 8 (million)
% 2.15/0.67  % (3672963)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=1064955960:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.15/0.67  % (3672956)Instruction limit reached! 
% 2.15/0.67  % (3672956)------------------------------
% 2.15/0.67  % (3672956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.67  % (3672956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.67  % (3672956)CaDiCaL version: 2.1.3
% 2.15/0.67  % (3672956)Termination reason: Instruction limit
% 2.15/0.67  % (3672956)Termination phase: Property scanning
% 2.15/0.67  % (3672956)Time elapsed: 0.027 s
% 2.15/0.67  % (3672956)Peak memory usage: 11 MB
% 2.15/0.67  % (3672956)Instructions burned: 61 (million)
% 2.15/0.67  % (3672963)Instruction limit reached! 
% 2.15/0.67  % (3672963)------------------------------
% 2.15/0.67  % (3672963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.67  % (3672963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.67  % (3672963)CaDiCaL version: 2.1.3
% 2.15/0.67  % (3672963)Termination reason: Instruction limit
% 2.15/0.67  % (3672963)Termination phase: shuffling
% 2.15/0.67  % (3672963)Time elapsed: 0.014 s
% 2.15/0.67  % (3672963)Peak memory usage: 10 MB
% 2.15/0.67  % (3672963)Instructions burned: 32 (million)
% 2.15/0.67  % (3672966)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=271472542:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.15/0.67  % (3672966)Instruction limit reached! 
% 2.15/0.67  % (3672966)------------------------------
% 2.15/0.67  % (3672966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.15/0.67  % (3672966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.15/0.67  % (3672966)CaDiCaL version: 2.1.3
% 2.15/0.67  % (3672966)Termination reason: Instruction limit
% 2.15/0.67  % (3672966)Termination phase: shuffling
% 2.15/0.67  % (3672966)Time elapsed: 0.003 s
% 2.60/0.71  % (3672966)Peak memory usage: 10 MB
% 2.60/0.71  % (3672966)Instructions burned: 7 (million)
% 2.60/0.71  % (3672969)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3139938961:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.60/0.71  % (3672967)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1840738450:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.60/0.71  % (3672971)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4259705618:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.60/0.71  % (3672969)Instruction limit reached! 
% 2.60/0.71  % (3672969)------------------------------
% 2.60/0.71  % (3672969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71  % (3672969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71  % (3672969)CaDiCaL version: 2.1.3
% 2.60/0.71  % (3672969)Termination reason: Instruction limit
% 2.60/0.71  % (3672969)Termination phase: Property scanning
% 2.60/0.71  % (3672969)Time elapsed: 0.010 s
% 2.60/0.71  % (3672969)Peak memory usage: 10 MB
% 2.60/0.71  % (3672969)Instructions burned: 21 (million)
% 2.60/0.71  % (3672972)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2180865441:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.60/0.71  % (3672967)Instruction limit reached! 
% 2.60/0.71  % (3672967)------------------------------
% 2.60/0.71  % (3672967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71  % (3672967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71  % (3672967)CaDiCaL version: 2.1.3
% 2.60/0.71  % (3672967)Termination reason: Instruction limit
% 2.60/0.71  % (3672967)Termination phase: shuffling
% 2.60/0.71  % (3672967)Time elapsed: 0.011 s
% 2.60/0.71  % (3672967)Peak memory usage: 10 MB
% 2.60/0.71  % (3672967)Instructions burned: 24 (million)
% 2.60/0.71  % (3672941)Instruction limit reached! 
% 2.60/0.71  % (3672941)------------------------------
% 2.60/0.71  % (3672941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71  % (3672941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.71  % (3672941)CaDiCaL version: 2.1.3
% 2.60/0.71  % (3672941)Termination reason: Instruction limit
% 2.60/0.71  % (3672941)Termination phase: Saturation
% 2.60/0.71  % (3672941)Time elapsed: 0.120 s
% 2.60/0.71  % (3672941)Peak memory usage: 14 MB
% 2.60/0.71  % (3672941)Instructions burned: 249 (million)
% 2.60/0.71  % (3672979)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.60/0.71  % (3672979)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=904971102:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.60/0.71  % (3672976)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4224218772:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.60/0.71  % (3672979)Instruction limit reached! 
% 2.60/0.71  % (3672979)------------------------------
% 2.60/0.71  % (3672979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.71  % (3672979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.72  % (3672979)CaDiCaL version: 2.1.3
% 2.60/0.72  % (3672979)Termination reason: Instruction limit
% 2.60/0.72  % (3672979)Termination phase: shuffling
% 2.60/0.72  % (3672979)Time elapsed: 0.004 s
% 2.60/0.72  % (3672979)Peak memory usage: 10 MB
% 2.60/0.72  % (3672979)Instructions burned: 8 (million)
% 2.60/0.72  % (3672978)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1376304382:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.60/0.72  % (3672982)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3429616530:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.60/0.72  % (3672978)Instruction limit reached! 
% 2.60/0.72  % (3672978)------------------------------
% 2.60/0.72  % (3672978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.60/0.72  % (3672978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/0.72  % (3672978)CaDiCaL version: 2.1.3
% 2.60/0.72  % (3672978)Termination reason: Instruction limit
% 2.60/0.72  % (3672978)Termination phase: Preprocessing 3
% 3.04/0.81  % (3672978)Time elapsed: 0.020 s
% 3.04/0.81  % (3672978)Peak memory usage: 11 MB
% 3.04/0.81  % (3672978)Instructions burned: 43 (million)
% 3.04/0.81  % (3672972)Instruction limit reached! 
% 3.04/0.81  % (3672972)------------------------------
% 3.04/0.81  % (3672972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.81  % (3672972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.81  % (3672972)CaDiCaL version: 2.1.3
% 3.04/0.81  % (3672972)Termination reason: Instruction limit
% 3.04/0.81  % (3672972)Termination phase: Saturation
% 3.04/0.81  % (3672972)Time elapsed: 0.061 s
% 3.04/0.81  % (3672972)Peak memory usage: 13 MB
% 3.04/0.81  % (3672972)Instructions burned: 144 (million)
% 3.04/0.81  % (3672985)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1969016747:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 3.04/0.81  % (3672986)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.04/0.81  % (3672986)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1133212256:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.04/0.81  % (3672949)Instruction limit reached! 
% 3.04/0.81  % (3672949)------------------------------
% 3.04/0.81  % (3672949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.81  % (3672986)Instruction limit reached! 
% 3.04/0.81  % (3672986)------------------------------
% 3.04/0.81  % (3672986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.81  % (3672949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.81  % (3672986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.81  % (3672949)CaDiCaL version: 2.1.3
% 3.04/0.81  % (3672986)CaDiCaL version: 2.1.3
% 3.04/0.81  % (3672949)Termination reason: Instruction limit
% 3.04/0.81  % (3672949)Termination phase: Saturation
% 3.04/0.81  % (3672986)Termination reason: Instruction limit
% 3.04/0.81  % (3672986)Termination phase: shuffling
% 3.04/0.81  % (3672949)Time elapsed: 0.157 s
% 3.04/0.81  % (3672986)Time elapsed: 0.003 s
% 3.04/0.81  % (3672949)Peak memory usage: 14 MB
% 3.04/0.81  % (3672986)Peak memory usage: 10 MB
% 3.04/0.81  % (3672949)Instructions burned: 328 (million)
% 3.04/0.81  % (3672986)Instructions burned: 7 (million)
% 3.04/0.81  % (3672989)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3816434121:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.04/0.81  % (3672990)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=249205543:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.04/0.81  % (3672990)Instruction limit reached! 
% 3.04/0.81  % (3672990)------------------------------
% 3.04/0.81  % (3672990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.81  % (3672990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.81  % (3672990)CaDiCaL version: 2.1.3
% 3.04/0.81  % (3672990)Termination reason: Instruction limit
% 3.04/0.81  % (3672990)Termination phase: shuffling
% 3.04/0.81  % (3672990)Time elapsed: 0.009 s
% 3.04/0.81  % (3672990)Peak memory usage: 10 MB
% 3.04/0.81  % (3672990)Instructions burned: 19 (million)
% 3.04/0.81  % (3672989)Instruction limit reached! 
% 3.04/0.81  % (3672989)------------------------------
% 3.04/0.81  % (3672989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.81  % (3672989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.81  % (3672989)CaDiCaL version: 2.1.3
% 3.04/0.81  % (3672989)Termination reason: Instruction limit
% 3.04/0.81  % (3672989)Termination phase: Property scanning
% 3.04/0.81  % (3672989)Time elapsed: 0.011 s
% 3.04/0.81  % (3672989)Peak memory usage: 10 MB
% 3.04/0.81  % (3672989)Instructions burned: 24 (million)
% 3.04/0.81  % (3672976)Instruction limit reached! 
% 3.04/0.81  % (3672976)------------------------------
% 3.04/0.81  % (3672976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.04/0.81  % (3672976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/0.81  % (3672976)CaDiCaL version: 2.1.3
% 3.04/0.81  % (3672976)Termination reason: Instruction limit
% 3.04/0.81  % (3672976)Termination phase: Saturation
% 3.46/0.92  % (3672976)Time elapsed: 0.096 s
% 3.46/0.92  % (3672976)Peak memory usage: 14 MB
% 3.46/0.92  % (3672976)Instructions burned: 194 (million)
% 3.46/0.92  % (3672985)Refutation not found, incomplete strategy
% 3.46/0.92  % (3672985)------------------------------
% 3.46/0.92  % (3672985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.92  % (3672985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3672985)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3672985)Termination reason: Refutation not found, incomplete strategy
% 3.46/0.92  % (3672985)Time elapsed: 0.055 s
% 3.46/0.92  % (3672985)Peak memory usage: 14 MB
% 3.46/0.92  % (3672985)Instructions burned: 118 (million)
% 3.46/0.92  % (3672985)------------------------------
% 3.46/0.92  % (3672985)------------------------------
% 3.46/0.92  % (3672993)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1296634876:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.46/0.92  % (3672994)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1586537346:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.46/0.92  % (3672914)Instruction limit reached! 
% 3.46/0.92  % (3672914)------------------------------
% 3.46/0.92  % (3672914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.92  % (3672914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3672914)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3672914)Termination reason: Instruction limit
% 3.46/0.92  % (3672914)Termination phase: Saturation
% 3.46/0.92  % (3672914)Time elapsed: 0.327 s
% 3.46/0.92  % (3672914)Peak memory usage: 16 MB
% 3.46/0.92  % (3672914)Instructions burned: 635 (million)
% 3.46/0.92  % (3672982)Instruction limit reached! 
% 3.46/0.92  % (3672982)------------------------------
% 3.46/0.92  % (3672982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.92  % (3672982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3672982)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3672982)Termination reason: Instruction limit
% 3.46/0.92  % (3672982)Termination phase: Saturation
% 3.46/0.92  % (3672982)Time elapsed: 0.086 s
% 3.46/0.92  % (3672982)Peak memory usage: 14 MB
% 3.46/0.92  % (3672982)Instructions burned: 181 (million)
% 3.46/0.92  % (3672995)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1068584074:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.46/0.92  % (3672998)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3855173200:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.46/0.92  % (3672999)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1728793898:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.46/0.92  % (3673000)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.46/0.92  % (3673000)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3199184118:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.46/0.92  % (3672999)Instruction limit reached! 
% 3.46/0.92  % (3672999)------------------------------
% 3.46/0.92  % (3672999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.92  % (3672999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.92  % (3672999)CaDiCaL version: 2.1.3
% 3.46/0.92  % (3672999)Termination reason: Instruction limit
% 3.46/0.92  % (3672999)Termination phase: Property scanning
% 3.46/0.92  % (3672999)Time elapsed: 0.010 s
% 3.46/0.92  % (3672999)Peak memory usage: 10 MB
% 3.46/0.92  % (3672999)Instructions burned: 22 (million)
% 3.46/0.92  % (3672995)Instruction limit reached! 
% 3.46/0.92  % (3672995)------------------------------
% 3.46/0.92  % (3672995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.92  % (3672995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3672995)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3672995)Termination reason: Instruction limit
% 3.46/0.95  % (3672995)Termination phase: SInE selection
% 3.46/0.95  % (3672995)Time elapsed: 0.021 s
% 3.46/0.95  % (3672995)Peak memory usage: 10 MB
% 3.46/0.95  % (3672995)Instructions burned: 46 (million)
% 3.46/0.95  % (3673005)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2654131935:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.46/0.95  % (3673006)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2631897196:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.46/0.95  % (3673005)Instruction limit reached! 
% 3.46/0.95  % (3673005)------------------------------
% 3.46/0.95  % (3673005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673005)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673005)Termination reason: Instruction limit
% 3.46/0.95  % (3673005)Termination phase: shuffling
% 3.46/0.95  % (3673005)Time elapsed: 0.006 s
% 3.46/0.95  % (3673005)Peak memory usage: 10 MB
% 3.46/0.95  % (3673005)Instructions burned: 14 (million)
% 3.46/0.95  % (3673009)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2888918017:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.46/0.95  % (3673006)Instruction limit reached! 
% 3.46/0.95  % (3673006)------------------------------
% 3.46/0.95  % (3673006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673006)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673006)Termination reason: Instruction limit
% 3.46/0.95  % (3673006)Termination phase: SInE selection
% 3.46/0.95  % (3673006)Time elapsed: 0.029 s
% 3.46/0.95  % (3673006)Peak memory usage: 11 MB
% 3.46/0.95  % (3673006)Instructions burned: 67 (million)
% 3.46/0.95  % (3673009)Instruction limit reached! 
% 3.46/0.95  % (3673009)------------------------------
% 3.46/0.95  % (3673009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673009)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673009)Termination reason: Instruction limit
% 3.46/0.95  % (3673009)Termination phase: Property scanning
% 3.46/0.95  % (3673009)Time elapsed: 0.023 s
% 3.46/0.95  % (3673009)Peak memory usage: 11 MB
% 3.46/0.95  % (3673009)Instructions burned: 51 (million)
% 3.46/0.95  % (3673011)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1611998085:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.46/0.95  % (3673000)Instruction limit reached! 
% 3.46/0.95  % (3673000)------------------------------
% 3.46/0.95  % (3673000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673000)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673000)Termination reason: Instruction limit
% 3.46/0.95  % (3673000)Termination phase: Saturation
% 3.46/0.95  % (3673000)Time elapsed: 0.085 s
% 3.46/0.95  % (3673000)Peak memory usage: 13 MB
% 3.46/0.95  % (3673000)Instructions burned: 200 (million)
% 3.46/0.95  % (3673011)Instruction limit reached! 
% 3.46/0.95  % (3673011)------------------------------
% 3.46/0.95  % (3673011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673011)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673011)Termination reason: Instruction limit
% 3.46/0.95  % (3673011)Termination phase: shuffling
% 3.46/0.95  % (3673011)Time elapsed: 0.014 s
% 3.46/0.95  % (3673011)Peak memory usage: 10 MB
% 3.46/0.95  % (3673011)Instructions burned: 33 (million)
% 3.46/0.95  % (3673012)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3633726443:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.46/0.95  % (3673014)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=610616852:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.46/0.95  % (3673015)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=418556181:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.46/0.95  % (3672993)Instruction limit reached! 
% 3.46/0.95  % (3672993)------------------------------
% 3.46/0.95  % (3672993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3672993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3672993)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3672993)Termination reason: Instruction limit
% 3.46/0.95  % (3672993)Termination phase: Saturation
% 3.46/0.95  % (3672993)Time elapsed: 0.145 s
% 3.46/0.95  % (3672993)Peak memory usage: 16 MB
% 3.46/0.95  % (3672993)Instructions burned: 316 (million)
% 3.46/0.95  % (3673014)Instruction limit reached! 
% 3.46/0.95  % (3673014)------------------------------
% 3.46/0.95  % (3673014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673014)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673014)Termination reason: Instruction limit
% 3.46/0.95  % (3673014)Termination phase: shuffling
% 3.46/0.95  % (3673014)Time elapsed: 0.016 s
% 3.46/0.95  % (3673014)Peak memory usage: 10 MB
% 3.46/0.95  % (3673014)Instructions burned: 36 (million)
% 3.46/0.95  % (3673019)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.46/0.95  % (3673019)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2573950915:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.46/0.95  % (3673020)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3257753964:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.46/0.95  % (3673015)Instruction limit reached! 
% 3.46/0.95  % (3673015)------------------------------
% 3.46/0.95  % (3673015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673015)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673015)Termination reason: Instruction limit
% 3.46/0.95  % (3673015)Termination phase: Function definition elimination
% 3.46/0.95  % (3673015)Time elapsed: 0.029 s
% 3.46/0.95  % (3673015)Peak memory usage: 11 MB
% 3.46/0.95  % (3673015)Instructions burned: 67 (million)
% 3.46/0.95  % (3673012)Instruction limit reached! 
% 3.46/0.95  % (3673012)------------------------------
% 3.46/0.95  % (3673012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673012)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673012)Termination reason: Instruction limit
% 3.46/0.95  % (3673012)Termination phase: Saturation
% 3.46/0.95  % (3673012)Time elapsed: 0.065 s
% 3.46/0.95  % (3673012)Peak memory usage: 13 MB
% 3.46/0.95  % (3673012)Instructions burned: 138 (million)
% 3.46/0.95  % (3673023)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=398126754:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.46/0.95  % (3673024)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4142008566:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.46/0.95  % (3673023)Instruction limit reached! 
% 3.46/0.95  % (3673023)------------------------------
% 3.46/0.95  % (3673023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673023)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673023)Termination reason: Instruction limit
% 3.46/0.95  % (3673023)Termination phase: Property scanning
% 3.46/0.95  % (3673023)Time elapsed: 0.043 s
% 3.46/0.95  % (3673023)Peak memory usage: 12 MB
% 3.46/0.95  % (3673023)Instructions burned: 98 (million)
% 3.46/0.95  % (3673019)Instruction limit reached! 
% 3.46/0.95  % (3673019)------------------------------
% 3.46/0.95  % (3673019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3673019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3673019)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3673019)Termination reason: Instruction limit
% 3.46/0.95  % (3673019)Termination phase: Saturation
% 3.46/0.95  % (3673019)Time elapsed: 0.077 s
% 3.46/0.95  % (3673019)Peak memory usage: 13 MB
% 3.46/0.95  % (3673019)Instructions burned: 181 (million)
% 3.46/0.95  % (3672998)Instruction limit reached! 
% 3.46/0.95  % (3672998)------------------------------
% 3.46/0.95  % (3672998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3672998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3672998)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3672998)Termination reason: Instruction limit
% 3.46/0.95  % (3672998)Termination phase: Saturation
% 3.46/0.95  % (3672998)Time elapsed: 0.228 s
% 3.46/0.95  % (3672998)Peak memory usage: 15 MB
% 3.46/0.95  % (3672998)Instructions burned: 482 (million)
% 3.46/0.95  % (3673027)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3885488379:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/874Mi)
% 3.46/0.95  % (3673028)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3246748329:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 3.46/0.95  % (3672994) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3672906-3672994"...
% 3.46/0.95  % (3673030)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1562464780:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 3.46/0.95  % (3672994)...printing done.
% 3.46/0.95  % (3672994)Refutation found. Thanks to Tanya!
% 3.46/0.95  % SZS status Theorem for theBenchmark
% 3.46/0.95  % SZS output start Proof for theBenchmark
% See solution above
% 3.46/0.95  % (3672994)------------------------------
% 3.46/0.95  % (3672994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.95  % (3672994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.95  % (3672994)CaDiCaL version: 2.1.3
% 3.46/0.95  % (3672994)Termination reason: Refutation
% 3.46/0.95  % (3672994)Time elapsed: 0.267 s
% 3.46/0.95  % (3672994)Peak memory usage: 17 MB
% 3.46/0.95  % (3672994)Instructions burned: 533 (million)
% 3.46/0.95  % (3672906)Success in time 0.646 s
% 3.46/0.95  % Vampire exiting
%------------------------------------------------------------------------------