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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP138^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 08:08:30 AM UTC 2026

% Result   : Theorem 1.30s 0.58s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   70 (  27 unt;   0 typ;   4 def)
%            Number of atoms       :  400 ( 121 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :  695 (  43   ~;  52   |;   0   &; 523   @)
%                                         (   4 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :   72 (  72   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  445 ( 441 usr;  18 con; 0-4 aty)
%                                         (  34  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  144 (  39 sgn  37   !;   0   ?; 144   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc696645085lle_fm: $tType ).

thf(type_def_6,type,
    set_se800614875lle_tv: $tType ).

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

thf(type_def_8,type,
    set_Pa1764573435lle_tv: $tType ).

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

thf(type_def_10,type,
    paraco1605129243lle_tv: $tType ).

thf(type_def_11,type,
    paraco1604210848lle_fm: $tType ).

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

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

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

thf(type_def_15,type,
    set_o: $tType ).

thf(type_def_16,type,
    nat: $tType ).

thf(type_def_17,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    complete_Sup_Sup_o: set_o > $o ).

thf(func_def_1,type,
    finite_Fpow_o: set_o > set_set_o ).

thf(func_def_2,type,
    finite1803457147t_char: set_list_char > set_set_list_char ).

thf(func_def_3,type,
    finite2011762305lle_tv: set_Pa1764573435lle_tv > set_se800614875lle_tv ).

thf(func_def_4,type,
    ord_less_eq_o_o: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_5,type,
    ord_le1945897678char_o: ( list_char > $o ) > ( list_char > $o ) > $o ).

thf(func_def_6,type,
    ord_le1632188418e_tv_o: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > $o ).

thf(func_def_7,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_8,type,
    ord_le1836582007t_char: set_list_char > set_list_char > $o ).

thf(func_def_9,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_10,type,
    ord_le241064091lle_tv: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_11,type,
    ord_le2085948664_set_o: set_set_o > set_set_o > $o ).

thf(func_def_12,type,
    ord_le263913851lle_tv: set_se800614875lle_tv > set_se800614875lle_tv > $o ).

thf(func_def_13,type,
    order_Greatest_set_o: ( set_o > $o ) > set_o ).

thf(func_def_14,type,
    order_350719188lle_tv: ( set_Pa1764573435lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(func_def_15,type,
    top_top_o_o: $o > $o ).

thf(func_def_16,type,
    top_top_list_char_o: list_char > $o ).

thf(func_def_17,type,
    top_top_nat_o: nat > $o ).

thf(func_def_18,type,
    top_to1299250770e_tv_o: paraco1605129243lle_tv > $o ).

thf(func_def_19,type,
    top_top_set_o: set_o ).

thf(func_def_20,type,
    top_to748628679t_char: set_list_char ).

thf(func_def_21,type,
    top_top_set_nat: set_nat ).

thf(func_def_22,type,
    top_to1057771083lle_tv: set_Pa1764573435lle_tv ).

thf(func_def_23,type,
    top_top_set_set_o: set_set_o ).

thf(func_def_24,type,
    top_to697846397t_char: set_set_list_char ).

thf(func_def_25,type,
    paraco1933902578domain: set_nat > set_Pa1764573435lle_tv ).

thf(func_def_26,type,
    paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).

thf(func_def_27,type,
    paraco69239110le_Con: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_28,type,
    paraco1389086619le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_29,type,
    paraco1745535428le_Eql: paraco1604210848lle_fm > paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_30,type,
    paraco445776468le_Neg: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_31,type,
    paraco1480028776le_Pro: list_char > paraco1604210848lle_fm ).

thf(func_def_32,type,
    paraco367965286_Truth: paraco1604210848lle_fm ).

thf(func_def_33,type,
    paraco1344940915le_Det: $o > paraco1605129243lle_tv ).

thf(func_def_34,type,
    paraco327635598_valid: paraco1604210848lle_fm > $o ).

thf(func_def_35,type,
    paraco55203475lid_in: set_nat > paraco1604210848lle_fm > $o ).

thf(func_def_36,type,
    produc1710735575lle_fm: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > produc696645085lle_fm ).

thf(func_def_37,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_38,type,
    collect_list_char: ( list_char > $o ) > set_list_char ).

thf(func_def_39,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_40,type,
    collec1111687558lle_tv: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(func_def_41,type,
    pow_o: set_o > set_set_o ).

thf(func_def_42,type,
    pow_list_char: set_list_char > set_set_list_char ).

thf(func_def_43,type,
    pow_Pa475453624lle_tv: set_Pa1764573435lle_tv > set_se800614875lle_tv ).

thf(func_def_44,type,
    image_o_o: ( $o > $o ) > set_o > set_o ).

thf(func_def_45,type,
    image_o_list_char: ( $o > list_char ) > set_o > set_list_char ).

thf(func_def_46,type,
    image_o_nat: ( $o > nat ) > set_o > set_nat ).

thf(func_def_47,type,
    image_1491822472lle_tv: ( $o > paraco1605129243lle_tv ) > set_o > set_Pa1764573435lle_tv ).

thf(func_def_48,type,
    image_list_char_o: ( list_char > $o ) > set_list_char > set_o ).

thf(func_def_49,type,
    image_890964937t_char: ( list_char > list_char ) > set_list_char > set_list_char ).

thf(func_def_50,type,
    image_1187894195lle_tv: ( list_char > paraco1605129243lle_tv ) > set_list_char > set_Pa1764573435lle_tv ).

thf(func_def_51,type,
    image_nat_o: ( nat > $o ) > set_nat > set_o ).

thf(func_def_52,type,
    image_nat_list_char: ( nat > list_char ) > set_nat > set_list_char ).

thf(func_def_53,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_54,type,
    image_1151963140lle_tv: ( nat > paraco1605129243lle_tv ) > set_nat > set_Pa1764573435lle_tv ).

thf(func_def_55,type,
    image_991799618e_tv_o: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_o ).

thf(func_def_56,type,
    image_1971766583t_char: ( paraco1605129243lle_tv > list_char ) > set_Pa1764573435lle_tv > set_list_char ).

thf(func_def_57,type,
    image_376325286tv_nat: ( paraco1605129243lle_tv > nat ) > set_Pa1764573435lle_tv > set_nat ).

thf(func_def_58,type,
    image_335818702lle_tv: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_59,type,
    image_set_o_set_o: ( set_o > set_o ) > set_set_o > set_set_o ).

thf(func_def_60,type,
    image_30320477lle_tv: ( set_list_char > set_Pa1764573435lle_tv ) > set_set_list_char > set_se800614875lle_tv ).

thf(func_def_61,type,
    member_o: $o > set_o > $o ).

thf(func_def_62,type,
    member_list_char: list_char > set_list_char > $o ).

thf(func_def_63,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_64,type,
    member266900804lle_tv: paraco1605129243lle_tv > set_Pa1764573435lle_tv > $o ).

thf(func_def_65,type,
    member_set_o: set_o > set_set_o > $o ).

thf(func_def_66,type,
    member1875402276lle_tv: set_Pa1764573435lle_tv > set_se800614875lle_tv > $o ).

thf(func_def_67,type,
    p: paraco1604210848lle_fm ).

thf(func_def_71,type,
    vAND: $o > $o > $o ).

thf(func_def_72,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_73,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_74,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_75,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_76,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_77,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_78,type,
    vNOT: $o > $o ).

thf(func_def_79,type,
    vIMP: $o > $o > $o ).

thf(func_def_80,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_81,type,
    sP0: ( paraco1604210848lle_fm > $o ) > $o ).

thf(func_def_82,type,
    sP1: ( paraco1604210848lle_fm > $o ) > $o ).

thf(func_def_83,type,
    sK2: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_84,type,
    sK3: set_o > ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_85,type,
    sK4: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_86,type,
    sK5: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_87,type,
    sK6: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_88,type,
    sK7: paraco1605129243lle_tv ).

thf(func_def_89,type,
    sK8: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > set_list_char > list_char ).

thf(func_def_90,type,
    sK9: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > set_list_char > list_char ).

thf(func_def_91,type,
    sK10: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_92,type,
    sK11: paraco1605129243lle_tv > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_93,type,
    sK12: set_Pa1764573435lle_tv > ( list_char > paraco1605129243lle_tv ) > ( list_char > $o ) > list_char ).

thf(func_def_94,type,
    sK13: list_char > ( $o > list_char ) > $o ).

thf(func_def_95,type,
    sK14: ( set_o > set_o ) > set_o ).

thf(func_def_96,type,
    sK15: ( set_o > set_o ) > set_o ).

thf(func_def_97,type,
    sK16: set_Pa1764573435lle_tv > set_list_char > ( list_char > paraco1605129243lle_tv ) > list_char ).

thf(func_def_98,type,
    sK17: paraco1605129243lle_tv > ( $o > paraco1605129243lle_tv ) > $o ).

thf(func_def_99,type,
    sK18: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_100,type,
    sK19: ( $o > list_char ) > list_char > set_o > $o ).

thf(func_def_101,type,
    sK20: set_o > ( $o > $o ) > $o > $o ).

thf(func_def_102,type,
    sK21: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_103,type,
    sK22: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_104,type,
    sK23: list_char > set_list_char > ( list_char > list_char ) > list_char ).

thf(func_def_105,type,
    sK24: ( paraco1605129243lle_tv > $o ) > set_o > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_106,type,
    sK25: list_char > ( list_char > list_char ) > list_char ).

thf(func_def_107,type,
    sK26: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_108,type,
    sK27: ( $o > $o ) > ( $o > $o ) > set_o > $o ).

thf(func_def_109,type,
    sK28: set_o > ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_110,type,
    sK29: paraco1605129243lle_tv > ( list_char > paraco1605129243lle_tv ) > list_char ).

thf(func_def_111,type,
    sK30: ( $o > paraco1605129243lle_tv ) > set_o > paraco1605129243lle_tv > $o ).

thf(func_def_112,type,
    sK31: list_char > ( list_char > list_char ) > list_char ).

thf(func_def_113,type,
    sK32: set_o > ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_114,type,
    sK33: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > $o ) > $o > paraco1605129243lle_tv ).

thf(func_def_115,type,
    sK34: ( list_char > $o ) > set_list_char > set_o > list_char ).

thf(func_def_116,type,
    sK35: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_117,type,
    sK36: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_118,type,
    sK37: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_119,type,
    sK38: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_120,type,
    sK39: paraco1604210848lle_fm > list_char ).

thf(func_def_121,type,
    sK40: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_122,type,
    sK41: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_123,type,
    sK42: paraco1604210848lle_fm > paraco1604210848lle_fm ).

thf(func_def_124,type,
    sK43: set_Pa1764573435lle_tv > set_o > ( $o > paraco1605129243lle_tv ) > set_o ).

thf(func_def_125,type,
    sK44: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_126,type,
    sK45: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_127,type,
    sK46: $o > ( list_char > $o ) > set_list_char > list_char ).

thf(func_def_128,type,
    sK47: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_129,type,
    sK48: set_list_char > ( paraco1605129243lle_tv > $o ) > ( list_char > paraco1605129243lle_tv ) > list_char ).

thf(func_def_130,type,
    sK49: ( list_char > paraco1605129243lle_tv ) > ( list_char > paraco1605129243lle_tv ) > set_list_char > list_char ).

thf(func_def_131,type,
    sK50: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_132,type,
    sK51: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_133,type,
    sK52: set_o > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_134,type,
    sK53: set_o > $o ).

thf(func_def_135,type,
    sK54: ( set_o > set_o ) > set_o ).

thf(func_def_136,type,
    sK55: ( set_o > set_o ) > set_o ).

thf(func_def_137,type,
    sK56: ( list_char > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > list_char ) > paraco1605129243lle_tv ).

thf(func_def_138,type,
    sK57: $o > ( list_char > $o ) > list_char ).

thf(func_def_139,type,
    sK58: ( list_char > $o ) > ( $o > list_char ) > $o ).

thf(func_def_140,type,
    sK59: ( $o > $o ) > $o > $o ).

thf(func_def_141,type,
    sK60: ( set_o > set_o ) > set_o ).

thf(func_def_142,type,
    sK61: ( set_o > set_o ) > set_o ).

thf(func_def_143,type,
    sK62: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_144,type,
    sK63: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_145,type,
    sK64: $o > ( list_char > $o ) > list_char ).

thf(func_def_146,type,
    sK65: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv > list_char ).

thf(func_def_147,type,
    sK66: set_list_char > ( list_char > list_char ) > set_list_char > list_char ).

thf(func_def_148,type,
    sK67: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_149,type,
    sK68: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_150,type,
    sK69: ( list_char > $o ) > ( $o > list_char ) > list_char ).

thf(func_def_151,type,
    sK70: set_list_char > set_list_char > list_char ).

thf(func_def_152,type,
    sK71: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_153,type,
    sK72: paraco1605129243lle_tv > ( list_char > paraco1605129243lle_tv ) > set_list_char > list_char ).

thf(func_def_154,type,
    sK73: set_list_char > list_char ).

thf(func_def_155,type,
    sK74: set_Pa1764573435lle_tv > set_o > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_156,type,
    sK75: ( $o > $o ) > $o > $o ).

thf(func_def_157,type,
    sK76: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_158,type,
    sK77: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_159,type,
    sK78: ( set_o > set_o ) > set_o ).

thf(func_def_160,type,
    sK79: ( set_o > set_o ) > set_o ).

thf(func_def_161,type,
    sK80: $o > ( $o > $o ) > $o ).

thf(func_def_162,type,
    sK81: ( list_char > $o ) > ( list_char > $o ) > set_list_char > list_char ).

thf(func_def_163,type,
    sK82: list_char > ( list_char > list_char ) > list_char ).

thf(func_def_164,type,
    sK83: set_nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_165,type,
    sK84: set_o > set_Pa1764573435lle_tv > ( $o > paraco1605129243lle_tv ) > $o ).

thf(func_def_166,type,
    sK85: ( $o > $o ) > set_o > set_o > set_o ).

thf(func_def_167,type,
    sK86: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_168,type,
    sK87: $o ).

thf(func_def_169,type,
    sK88: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_170,type,
    sK89: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_171,type,
    sK90: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_172,type,
    sK91: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_173,type,
    sK92: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_174,type,
    sK93: ( list_char > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_list_char > set_list_char ).

thf(func_def_175,type,
    sK94: ( $o > list_char ) > list_char > $o ).

thf(func_def_176,type,
    sK95: set_o > ( $o > $o ) > set_o > $o ).

thf(func_def_177,type,
    sK96: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_178,type,
    sK97: list_char ).

thf(func_def_179,type,
    sK98: ( $o > $o ) > ( $o > $o ) > set_o > $o ).

thf(func_def_180,type,
    sK99: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv > list_char ).

thf(func_def_181,type,
    sK100: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_182,type,
    sK101: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv ).

thf(func_def_183,type,
    sK102: list_char > ( $o > list_char ) > $o ).

thf(func_def_184,type,
    sK103: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_185,type,
    sK104: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_186,type,
    sK105: ( $o > list_char ) > set_list_char > set_o > $o ).

thf(func_def_187,type,
    sK106: ( list_char > $o ) > $o > list_char ).

thf(func_def_188,type,
    sK107: ( paraco1605129243lle_tv > $o ) > set_list_char > ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_189,type,
    sK108: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_190,type,
    sK109: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv ).

thf(func_def_191,type,
    sK110: set_o > set_o > $o ).

thf(func_def_192,type,
    sK111: ( list_char > list_char ) > ( list_char > list_char ) > list_char ).

thf(func_def_193,type,
    sK112: set_o > ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_194,type,
    sK113: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_195,type,
    sK114: ( set_o > set_Pa1764573435lle_tv ) > set_o ).

thf(func_def_196,type,
    sK115: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_197,type,
    sK116: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_198,type,
    sK117: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_199,type,
    sK118: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_200,type,
    sK119: ( paraco1604210848lle_fm > $o ) > list_char ).

thf(func_def_201,type,
    sK120: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_202,type,
    sK121: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_203,type,
    sK122: ( paraco1604210848lle_fm > $o ) > paraco1604210848lle_fm ).

thf(func_def_204,type,
    sK123: ( $o > $o ) > set_o > ( $o > $o ) > $o ).

thf(func_def_205,type,
    sK124: set_o > set_o > $o ).

thf(func_def_206,type,
    sK125: set_o > set_o > $o ).

thf(func_def_207,type,
    sK126: set_list_char > list_char ).

thf(func_def_208,type,
    sK127: list_char > ( $o > list_char ) > $o ).

thf(func_def_209,type,
    sK128: ( $o > list_char ) > list_char ).

thf(func_def_210,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_211,type,
    sK129: ( set_o > set_o ) > set_o > set_o > $o ).

thf(func_def_212,type,
    sK130: ( set_o > set_o ) > $o ).

thf(func_def_213,type,
    sK131: set_o > set_o > $o ).

thf(func_def_214,type,
    sK132: set_o > set_o > $o ).

thf(func_def_215,type,
    sK133: set_o > set_o > $o ).

thf(func_def_216,type,
    sK134: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_217,type,
    sK135: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_218,type,
    sK136: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_219,type,
    sK137: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_220,type,
    sK138: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_221,type,
    sK139: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_o > $o ).

thf(func_def_222,type,
    sK140: set_o > set_o > $o ).

thf(func_def_223,type,
    sK141: set_o > set_o > $o ).

thf(func_def_224,type,
    sK142: set_o > set_o > $o ).

thf(func_def_225,type,
    sK143: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_226,type,
    sK144: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_o > $o ).

thf(func_def_227,type,
    sK145: set_o > set_o > $o ).

thf(func_def_228,type,
    sK146: set_o > set_Pa1764573435lle_tv > ( set_o > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_229,type,
    sK147: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_230,type,
    sK148: set_o > set_o > $o ).

thf(func_def_231,type,
    sK149: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_232,type,
    sK150: set_Pa1764573435lle_tv > ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_233,type,
    sK151: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_234,type,
    sK152: set_Pa1764573435lle_tv > set_list_char > ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_235,type,
    sK153: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_236,type,
    sK154: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_237,type,
    sK155: ( list_char > paraco1605129243lle_tv ) > set_list_char > set_Pa1764573435lle_tv > list_char ).

thf(func_def_238,type,
    sK156: ( list_char > paraco1605129243lle_tv ) > set_list_char > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_239,type,
    sK157: ( set_Pa1764573435lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_240,type,
    sK158: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_241,type,
    sK159: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_242,type,
    sK160: ( set_Pa1764573435lle_tv > $o ) > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_243,type,
    sK161: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_244,type,
    sK162: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_245,type,
    sK163: ( list_char > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_list_char > set_list_char ).

thf(func_def_246,type,
    sK164: ( list_char > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_list_char > paraco1605129243lle_tv ).

thf(func_def_247,type,
    sK165: set_list_char > set_list_char > list_char ).

thf(func_def_248,type,
    sK166: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_249,type,
    sK167: ( $o > $o ) > ( $o > $o ) > $o ).

thf(func_def_250,type,
    sK168: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_251,type,
    sK169: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_252,type,
    sK170: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_253,type,
    sK171: ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_254,type,
    sK172: set_o > set_o > $o ).

thf(func_def_255,type,
    sK173: set_list_char > set_list_char > list_char ).

thf(func_def_256,type,
    sK174: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_257,type,
    sK175: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_258,type,
    sK176: ( set_o > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_259,type,
    sK177: set_o > set_Pa1764573435lle_tv > ( set_o > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_260,type,
    sK178: set_o > set_o > $o ).

thf(func_def_261,type,
    sK179: set_o > $o ).

thf(func_def_262,type,
    sK180: paraco1605129243lle_tv > ( list_char > paraco1605129243lle_tv ) > list_char ).

thf(func_def_263,type,
    sK181: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_264,type,
    sK182: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_265,type,
    sK183: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_266,type,
    sK184: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_267,type,
    sK185: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_268,type,
    sK186: ( set_o > set_Pa1764573435lle_tv ) > set_o > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_269,type,
    sK187: ( set_o > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_270,type,
    sK188: set_o > set_o > $o ).

thf(func_def_271,type,
    sK189: set_o > set_o > $o ).

thf(func_def_272,type,
    sK190: set_o > set_o > $o ).

thf(func_def_273,type,
    sK191: set_o > $o ).

thf(func_def_274,type,
    sK192: $o > ( $o > $o ) > $o ).

thf(func_def_275,type,
    sK193: ( $o > $o ) > $o ).

thf(func_def_276,type,
    sK194: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_277,type,
    sK195: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_278,type,
    sK196: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_279,type,
    sK197: ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_280,type,
    sK198: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_281,type,
    sK199: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_282,type,
    sK200: set_o > set_o > $o ).

thf(func_def_283,type,
    sK201: ( set_o > set_o ) > $o ).

thf(func_def_284,type,
    sK202: ( set_o > set_o ) > set_o > set_o > $o ).

thf(func_def_285,type,
    sK203: ( set_o > set_o ) > set_o > set_o > $o ).

thf(func_def_286,type,
    sK204: set_o > set_o > $o ).

thf(func_def_287,type,
    sK205: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_288,type,
    sK206: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_289,type,
    sK207: ( $o > paraco1605129243lle_tv ) > set_o > ( set_Pa1764573435lle_tv > $o ) > set_Pa1764573435lle_tv ).

thf(func_def_290,type,
    sK208: set_o > set_o > $o ).

thf(func_def_291,type,
    sK209: set_o > set_o > $o ).

thf(func_def_292,type,
    sK210: ( $o > paraco1605129243lle_tv ) > set_o > ( set_Pa1764573435lle_tv > $o ) > set_o ).

thf(func_def_293,type,
    sK211: set_Pa1764573435lle_tv > ( $o > paraco1605129243lle_tv ) > set_o > paraco1605129243lle_tv ).

thf(func_def_294,type,
    sK212: set_Pa1764573435lle_tv > ( $o > paraco1605129243lle_tv ) > set_o > paraco1605129243lle_tv ).

thf(func_def_295,type,
    sK213: ( nat > $o ) > set_nat > nat ).

thf(func_def_296,type,
    sK214: ( set_Pa1764573435lle_tv > set_o ) > $o ).

thf(func_def_297,type,
    sK215: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_298,type,
    sK216: set_list_char > ( list_char > $o ) > set_list_char > list_char ).

thf(func_def_299,type,
    sK217: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_300,type,
    sK218: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_301,type,
    sK219: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_302,type,
    sK220: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_303,type,
    sK221: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_304,type,
    sK222: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_305,type,
    sK223: set_list_char > set_list_char > list_char ).

thf(func_def_306,type,
    sK224: set_o > set_o > ( $o > $o ) > set_o ).

thf(func_def_307,type,
    sK225: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_308,type,
    sK226: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_309,type,
    sK227: set_o > set_o > $o ).

thf(func_def_310,type,
    sK228: set_o > set_o > $o ).

thf(func_def_311,type,
    sK229: set_o > set_o > $o ).

thf(func_def_312,type,
    sK230: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_313,type,
    sK231: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_314,type,
    sK232: set_list_char > list_char ).

thf(func_def_315,type,
    sK233: set_o > set_o > $o ).

thf(func_def_316,type,
    sK234: ( set_o > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_317,type,
    sK235: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_318,type,
    sK236: set_Pa1764573435lle_tv > ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_319,type,
    sK237: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_320,type,
    sK238: set_o > set_o > $o ).

thf(func_def_321,type,
    sK239: set_o > set_o > $o ).

thf(func_def_322,type,
    sK240: ( set_o > set_o ) > $o ).

thf(func_def_323,type,
    sK241: set_list_char > set_list_char > list_char ).

thf(func_def_324,type,
    sK242: paraco1605129243lle_tv > set_list_char > ( list_char > paraco1605129243lle_tv ) > list_char ).

thf(func_def_325,type,
    sK243: ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_326,type,
    sK244: list_char > paraco1605129243lle_tv ).

thf(func_def_327,type,
    sK245: list_char > paraco1605129243lle_tv ).

thf(func_def_328,type,
    sK246: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_329,type,
    sK247: ( $o > $o ) > set_o > set_o > $o ).

thf(func_def_330,type,
    sK248: set_o > set_o > $o ).

thf(func_def_331,type,
    sK249: ( $o > $o ) > set_o > $o ).

thf(func_def_332,type,
    sK250: set_o > set_o > $o ).

thf(func_def_333,type,
    sK251: set_o > ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv > $o ).

thf(func_def_334,type,
    sK252: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_335,type,
    sK253: set_o > ( $o > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_336,type,
    sK254: set_o > ( $o > $o ) > $o ).

thf(func_def_337,type,
    sK255: ( $o > $o ) > set_o > $o ).

thf(func_def_338,type,
    sK256: ( $o > $o ) > set_o > ( $o > $o ) > $o ).

thf(func_def_339,type,
    sK257: ( $o > $o ) > set_o > ( $o > $o ) > $o ).

thf(func_def_340,type,
    sK258: set_Pa1764573435lle_tv > set_list_char > ( list_char > paraco1605129243lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_341,type,
    sK259: ( list_char > list_char ) > list_char ).

thf(func_def_342,type,
    sK260: list_char > ( list_char > list_char ) > list_char ).

thf(func_def_343,type,
    sK261: set_list_char > set_list_char > list_char ).

thf(func_def_344,type,
    sK262: ( list_char > $o ) > $o ).

thf(func_def_345,type,
    sK263: $o > ( list_char > $o ) > list_char ).

thf(func_def_346,type,
    sK264: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_347,type,
    sK265: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_348,type,
    sK266: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_349,type,
    sK267: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_350,type,
    sK268: ( set_Pa1764573435lle_tv > set_o ) > $o ).

thf(func_def_351,type,
    sK269: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_352,type,
    sK270: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_353,type,
    sK271: set_o > set_o > $o ).

thf(func_def_354,type,
    sK272: set_o > set_o > $o ).

thf(func_def_355,type,
    sK273: set_o > set_o > $o ).

thf(func_def_356,type,
    sK274: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_357,type,
    sK275: set_o > set_o > $o ).

thf(func_def_358,type,
    sK276: set_o > set_o > $o ).

thf(func_def_359,type,
    sK277: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_360,type,
    sK278: set_list_char > set_list_char > list_char ).

thf(func_def_361,type,
    sK279: ( set_o > $o ) > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_o ).

thf(func_def_362,type,
    sK280: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_363,type,
    sK281: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_364,type,
    sK282: ( set_o > $o ) > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ).

thf(func_def_365,type,
    sK283: set_o > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > $o ).

thf(func_def_366,type,
    sK284: set_o > ( paraco1605129243lle_tv > $o ) > set_Pa1764573435lle_tv > $o ).

thf(func_def_367,type,
    sK285: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_368,type,
    sK286: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_369,type,
    sK287: set_o > set_o > $o ).

thf(func_def_370,type,
    sK288: ( set_o > set_o ) > set_o > set_o > $o ).

thf(func_def_371,type,
    sK289: set_o > set_o > $o ).

thf(func_def_372,type,
    sK290: ( set_o > set_o ) > $o ).

thf(func_def_373,type,
    sK291: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_374,type,
    sK292: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > $o ) > set_o > set_Pa1764573435lle_tv ).

thf(func_def_375,type,
    sK293: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > $o ) > set_o > $o ).

thf(func_def_376,type,
    sK294: set_Pa1764573435lle_tv > ( paraco1605129243lle_tv > $o ) > set_o > $o ).

thf(func_def_377,type,
    sK295: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_378,type,
    sK296: ( paraco1605129243lle_tv > $o ) > ( paraco1605129243lle_tv > $o ) > paraco1605129243lle_tv ).

thf(func_def_379,type,
    sK297: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_380,type,
    sK298: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_381,type,
    sK299: set_o > set_o > $o ).

thf(func_def_382,type,
    sK300: set_o > ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv > $o ).

thf(func_def_383,type,
    sK301: ( set_Pa1764573435lle_tv > set_o ) > $o ).

thf(func_def_384,type,
    sK302: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_385,type,
    sK303: ( set_o > set_Pa1764573435lle_tv ) > set_o > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_386,type,
    sK304: set_o > set_o > $o ).

thf(func_def_387,type,
    sK305: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv > set_o > $o ).

thf(func_def_388,type,
    sK306: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_389,type,
    sK307: set_o > set_o > $o ).

thf(func_def_390,type,
    sK308: set_o > set_o > $o ).

thf(func_def_391,type,
    sK309: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_392,type,
    sK310: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_393,type,
    sK311: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_394,type,
    sK312: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_395,type,
    sK313: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_396,type,
    sK314: ( list_char > $o ) > set_list_char > list_char ).

thf(func_def_397,type,
    sK315: set_list_char > set_list_char > list_char ).

thf(func_def_398,type,
    sK316: set_list_char > set_list_char > list_char ).

thf(func_def_399,type,
    sK317: ( list_char > $o ) > set_list_char > set_list_char > list_char ).

thf(func_def_400,type,
    sK318: set_list_char > set_list_char > list_char ).

thf(func_def_401,type,
    sK319: set_o > $o > ( $o > $o ) > $o ).

thf(func_def_402,type,
    sK320: ( set_Pa1764573435lle_tv > $o ) > ( list_char > paraco1605129243lle_tv ) > set_list_char > set_list_char ).

thf(func_def_403,type,
    sK321: set_Pa1764573435lle_tv > ( list_char > paraco1605129243lle_tv ) > set_list_char > paraco1605129243lle_tv ).

thf(func_def_404,type,
    sK322: set_Pa1764573435lle_tv > ( list_char > paraco1605129243lle_tv ) > set_list_char > paraco1605129243lle_tv ).

thf(func_def_405,type,
    sK323: ( set_Pa1764573435lle_tv > $o ) > ( list_char > paraco1605129243lle_tv ) > set_list_char > set_Pa1764573435lle_tv ).

thf(func_def_406,type,
    sK324: set_list_char > set_list_char > list_char ).

thf(func_def_407,type,
    sK325: ( set_Pa1764573435lle_tv > set_o ) > set_Pa1764573435lle_tv > set_o > $o ).

thf(func_def_408,type,
    sK326: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_409,type,
    sK327: ( set_Pa1764573435lle_tv > set_o ) > $o ).

thf(func_def_410,type,
    sK328: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_411,type,
    sK329: set_o > set_o > $o ).

thf(func_def_412,type,
    sK330: set_o > set_o > $o ).

thf(func_def_413,type,
    sK331: set_list_char > set_list_char > list_char ).

thf(func_def_414,type,
    sK332: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_415,type,
    sK333: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_416,type,
    sK334: set_o > set_o > $o ).

thf(func_def_417,type,
    sK335: set_o > ( $o > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > set_o ).

thf(func_def_418,type,
    sK336: set_o > ( $o > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_419,type,
    sK337: set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_420,type,
    sK338: set_o > set_o > $o ).

thf(func_def_421,type,
    sK339: set_o > set_o > $o ).

thf(func_def_422,type,
    sK340: set_o > set_o > $o ).

thf(func_def_423,type,
    sK341: ( set_o > $o ) > set_o > ( $o > $o ) > set_o ).

thf(func_def_424,type,
    sK342: set_o > set_o > ( $o > $o ) > $o ).

thf(func_def_425,type,
    sK343: ( set_o > $o ) > set_o > ( $o > $o ) > set_o ).

thf(func_def_426,type,
    sK344: set_o > set_o > $o ).

thf(func_def_427,type,
    sK345: set_o > set_o > $o ).

thf(func_def_428,type,
    sK346: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_429,type,
    sK347: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_430,type,
    sK348: ( set_Pa1764573435lle_tv > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_431,type,
    sK349: set_o > set_o > $o ).

thf(func_def_432,type,
    sK350: set_o > set_o > $o ).

thf(func_def_433,type,
    sK351: set_o > set_o > $o ).

thf(func_def_434,type,
    sK352: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_435,type,
    sK353: set_o > ( $o > paraco1605129243lle_tv ) > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(func_def_436,type,
    sK354: set_o > set_o > $o ).

thf(func_def_437,type,
    sK355: ( set_o > set_Pa1764573435lle_tv ) > paraco1605129243lle_tv ).

thf(func_def_438,type,
    sK356: set_Pa1764573435lle_tv > set_Pa1764573435lle_tv > paraco1605129243lle_tv ).

thf(f1,axiom,
    ( ( collec1111687558lle_tv
      @ ^ [X1: paraco1605129243lle_tv] : $true )
    = ( paraco1933902578domain
      @ ( collect_nat
        @ ^ [X0: nat] : $true ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_universal__domain) ).

thf(f5,axiom,
    ! [X0: paraco1605129243lle_tv] : ( member266900804lle_tv @ X0 @ top_to1057771083lle_tv ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_UNIV__I) ).

thf(f146,axiom,
    ( ord_le241064091lle_tv
    = ( ^ [X0: set_Pa1764573435lle_tv,X1: set_Pa1764573435lle_tv] :
        ! [X2: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ X2 @ X0 )
         => ( member266900804lle_tv @ X2 @ X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_subset__iff) ).

thf(f204,axiom,
    ( ( collec1111687558lle_tv
      @ ^ [X0: paraco1605129243lle_tv] : $true )
    = top_to1057771083lle_tv ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_UNIV__def) ).

thf(f355,conjecture,
    ! [X0: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X0 @ p ) )
     != ( ~ ! [X0: list_char > paraco1605129243lle_tv] :
              ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ X0 @ top_to748628679t_char )
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [X1: nat] : $true ) ) )
             => ( ( paraco1344940915le_Det @ $true )
                = ( paraco1325918602e_eval @ X0 @ p ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f356,negated_conjecture,
    ~ ! [X0: list_char > paraco1605129243lle_tv] :
        ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X0 @ p ) )
       != ( ~ ! [X0: list_char > paraco1605129243lle_tv] :
                ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ X0 @ top_to748628679t_char )
                  @ ( paraco1933902578domain
                    @ ( collect_nat
                      @ ^ [X1: nat] : $true ) ) )
               => ( ( paraco1344940915le_Det @ $true )
                  = ( paraco1325918602e_eval @ X0 @ p ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f355]) ).

thf(f809,plain,
    ( ord_le241064091lle_tv
    = ( ^ [X0: set_Pa1764573435lle_tv,X1: set_Pa1764573435lle_tv] :
        ! [X2: paraco1605129243lle_tv] :
          ( ( member266900804lle_tv @ X2 @ X0 )
         => ( member266900804lle_tv @ X2 @ X1 ) ) ) ),
    inference(rectify,[],[f146]) ).

thf(f810,plain,
    ( ord_le241064091lle_tv
    = ( ^ [Y0: set_Pa1764573435lle_tv,Y1: set_Pa1764573435lle_tv] :
          ( !! @ paraco1605129243lle_tv
          @ ^ [Y2: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y2 @ Y0 )
             => ( member266900804lle_tv @ Y2 @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f809]) ).

thf(f819,plain,
    ( ( collec1111687558lle_tv
      @ ^ [X0: paraco1605129243lle_tv] : $true )
    = ( paraco1933902578domain
      @ ( collect_nat
        @ ^ [X1: nat] : $true ) ) ),
    inference(rectify,[],[f1]) ).

thf(f820,plain,
    ( ( paraco1933902578domain
      @ ( collect_nat
        @ ^ [Y0: nat] : $true ) )
    = ( collec1111687558lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] : $true ) ),
    inference(fool_elimination,[],[f819]) ).

thf(f835,plain,
    ( ( collec1111687558lle_tv
      @ ^ [X0: paraco1605129243lle_tv] : $true )
    = top_to1057771083lle_tv ),
    inference(rectify,[],[f204]) ).

thf(f836,plain,
    ( top_to1057771083lle_tv
    = ( collec1111687558lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] : $true ) ),
    inference(fool_elimination,[],[f835]) ).

thf(f883,plain,
    ! [X0: paraco1605129243lle_tv] : ( member266900804lle_tv @ X0 @ top_to1057771083lle_tv ),
    inference(rectify,[],[f5]) ).

thf(f884,plain,
    ! [X0: paraco1605129243lle_tv] :
      ( ( member266900804lle_tv @ X0 @ top_to1057771083lle_tv )
      = $true ),
    inference(fool_elimination,[],[f883]) ).

thf(f905,plain,
    ~ ! [X0: list_char > paraco1605129243lle_tv] :
        ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X0 @ p ) )
       != ( ~ ! [X1: list_char > paraco1605129243lle_tv] :
                ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char )
                  @ ( paraco1933902578domain
                    @ ( collect_nat
                      @ ^ [X2: nat] : $true ) ) )
               => ( ( paraco1344940915le_Det @ $true )
                  = ( paraco1325918602e_eval @ X1 @ p ) ) ) ) ),
    inference(rectify,[],[f356]) ).

thf(f906,plain,
    ~ ( ( ( !! @ ( list_char > paraco1605129243lle_tv )
          @ ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( paraco1344940915le_Det @ $true )
              = ( paraco1325918602e_eval @ Y0 @ p ) ) )
       != ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
              @ ^ [Y0: list_char > paraco1605129243lle_tv] :
                  ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                    @ ( paraco1933902578domain
                      @ ( collect_nat
                        @ ^ [Y1: nat] : $true ) ) )
                 => ( ( paraco1344940915le_Det @ $true )
                    = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f905]) ).

thf(f963,plain,
    ( ( !! @ ( list_char > paraco1605129243lle_tv )
      @ ^ [Y0: list_char > paraco1605129243lle_tv] :
          ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ Y0 @ p ) ) )
    = ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
          @ ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) )
             => ( ( paraco1344940915le_Det @ $true )
                = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ) ),
    inference(flattening,[],[f906]) ).

thf(f1600,plain,
    ( ord_le241064091lle_tv
    = ( ^ [Y0: set_Pa1764573435lle_tv,Y1: set_Pa1764573435lle_tv] :
          ( !! @ paraco1605129243lle_tv
          @ ^ [Y2: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y2 @ Y0 )
             => ( member266900804lle_tv @ Y2 @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f810]) ).

thf(f1658,plain,
    ( top_to1057771083lle_tv
    = ( collec1111687558lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] : $true ) ),
    inference(cnf_transformation,[],[f836]) ).

thf(f1716,plain,
    ! [X0: paraco1605129243lle_tv] :
      ( ( member266900804lle_tv @ X0 @ top_to1057771083lle_tv )
      = $true ),
    inference(cnf_transformation,[],[f884]) ).

thf(f1810,plain,
    ( ( paraco1933902578domain
      @ ( collect_nat
        @ ^ [Y0: nat] : $true ) )
    = ( collec1111687558lle_tv
      @ ^ [Y0: paraco1605129243lle_tv] : $true ) ),
    inference(cnf_transformation,[],[f820]) ).

thf(f1896,plain,
    ( ( !! @ ( list_char > paraco1605129243lle_tv )
      @ ^ [Y0: list_char > paraco1605129243lle_tv] :
          ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ Y0 @ p ) ) )
    = ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
          @ ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( ord_le241064091lle_tv @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) )
             => ( ( paraco1344940915le_Det @ $true )
                = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ) ),
    inference(cnf_transformation,[],[f963]) ).

thf(f2109,plain,
    ( ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
          @ ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                    ( !! @ paraco1605129243lle_tv
                    @ ^ [Y3: paraco1605129243lle_tv] :
                        ( ( member266900804lle_tv @ Y3 @ Y1 )
                       => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
                @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) )
             => ( ( paraco1344940915le_Det @ $true )
                = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) )
    = ( !! @ ( list_char > paraco1605129243lle_tv )
      @ ^ [Y0: list_char > paraco1605129243lle_tv] :
          ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ),
    inference(definition_unfolding,[],[f1896,f1600]) ).

thf(f3278,plain,
    ( ( $false
      = ( !! @ ( list_char > paraco1605129243lle_tv )
        @ ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ Y0 @ p ) ) ) )
    | ( ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
            @ ^ [Y0: list_char > paraco1605129243lle_tv] :
                ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                      ( !! @ paraco1605129243lle_tv
                      @ ^ [Y3: paraco1605129243lle_tv] :
                          ( ( member266900804lle_tv @ Y3 @ Y1 )
                         => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
                  @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                  @ ( paraco1933902578domain
                    @ ( collect_nat
                      @ ^ [Y1: nat] : $true ) ) )
               => ( ( paraco1344940915le_Det @ $true )
                  = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) )
      = $true ) ),
    inference(iff_proxy_clausification,[],[f2109]) ).

thf(f3279,plain,
    ( ( ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
            @ ^ [Y0: list_char > paraco1605129243lle_tv] :
                ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                      ( !! @ paraco1605129243lle_tv
                      @ ^ [Y3: paraco1605129243lle_tv] :
                          ( ( member266900804lle_tv @ Y3 @ Y1 )
                         => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
                  @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                  @ ( paraco1933902578domain
                    @ ( collect_nat
                      @ ^ [Y1: nat] : $true ) ) )
               => ( ( paraco1344940915le_Det @ $true )
                  = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) )
      = $false )
    | ( $true
      = ( !! @ ( list_char > paraco1605129243lle_tv )
        @ ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ),
    inference(iff_proxy_clausification,[],[f2109]) ).

thf(f3280,plain,
    ( ( ( !! @ ( list_char > paraco1605129243lle_tv )
        @ ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                  ( !! @ paraco1605129243lle_tv
                  @ ^ [Y3: paraco1605129243lle_tv] :
                      ( ( member266900804lle_tv @ Y3 @ Y1 )
                     => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
              @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
              @ ( paraco1933902578domain
                @ ( collect_nat
                  @ ^ [Y1: nat] : $true ) ) )
           => ( ( paraco1344940915le_Det @ $true )
              = ( paraco1325918602e_eval @ Y0 @ p ) ) ) )
      = $true )
    | ( $true
      = ( !! @ ( list_char > paraco1605129243lle_tv )
        @ ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ),
    inference(not_proxy_clausification,[],[f3279]) ).

thf(f3281,plain,
    ! [X1: list_char > paraco1605129243lle_tv] :
      ( ( $true
        = ( ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                    ( !! @ paraco1605129243lle_tv
                    @ ^ [Y3: paraco1605129243lle_tv] :
                        ( ( member266900804lle_tv @ Y3 @ Y1 )
                       => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
                @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) )
             => ( ( paraco1344940915le_Det @ $true )
                = ( paraco1325918602e_eval @ Y0 @ p ) ) )
          @ X1 ) )
      | ( $true
        = ( !! @ ( list_char > paraco1605129243lle_tv )
          @ ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( paraco1344940915le_Det @ $true )
              = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ),
    inference(pi_proxy_clausification,[],[f3280]) ).

thf(f3282,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( $true
        = ( ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                    ( !! @ paraco1605129243lle_tv
                    @ ^ [Y3: paraco1605129243lle_tv] :
                        ( ( member266900804lle_tv @ Y3 @ Y1 )
                       => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
                @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) )
             => ( ( paraco1344940915le_Det @ $true )
                = ( paraco1325918602e_eval @ Y0 @ p ) ) )
          @ X1 ) )
      | ( ( ^ [Y0: list_char > paraco1605129243lle_tv] :
              ( ( paraco1344940915le_Det @ $true )
              = ( paraco1325918602e_eval @ Y0 @ p ) )
          @ X2 )
        = $true ) ),
    inference(pi_proxy_clausification,[],[f3281]) ).

thf(f3283,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( ( ( !! @ paraco1605129243lle_tv
            @ ^ [Y0: paraco1605129243lle_tv] :
                ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char ) )
               => ( member266900804lle_tv @ Y0
                  @ ( paraco1933902578domain
                    @ ( collect_nat
                      @ ^ [Y1: nat] : $true ) ) ) ) )
         => ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ X1 @ p ) ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X2 @ p ) )
        = $true ) ),
    inference(beta-eta_normalization,[],[f3282]) ).

thf(f3284,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X2 @ p ) )
        = $true )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X1 @ p ) )
        = $true )
      | ( $false
        = ( !! @ paraco1605129243lle_tv
          @ ^ [Y0: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char ) )
             => ( member266900804lle_tv @ Y0
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) ) ) ) ) ),
    inference(imp_proxy_clausification,[],[f3283]) ).

thf(f3285,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) )
      | ( ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X1 @ p ) )
        = $true )
      | ( $false
        = ( !! @ paraco1605129243lle_tv
          @ ^ [Y0: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char ) )
             => ( member266900804lle_tv @ Y0
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) ) ) ) ) ),
    inference(equality_proxy_clausification,[],[f3284]) ).

thf(f3286,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) )
      | ( $false
        = ( !! @ paraco1605129243lle_tv
          @ ^ [Y0: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char ) )
             => ( member266900804lle_tv @ Y0
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) ) ) ) )
      | ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X1 @ p ) ) ),
    inference(equality_proxy_clausification,[],[f3285]) ).

thf(f3287,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X1 @ p ) )
      | ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) )
      | ( $false
        = ( ^ [Y0: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char ) )
             => ( member266900804lle_tv @ Y0
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) ) )
          @ ( sK243 @ X1 ) ) ) ),
    inference(sigma_proxy_clausification,[],[f3286]) ).

thf(f3288,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) )
      | ( ( ( member266900804lle_tv @ ( sK243 @ X1 ) @ ( image_1187894195lle_tv @ X1 @ top_to748628679t_char ) )
         => ( member266900804lle_tv @ ( sK243 @ X1 )
            @ ( paraco1933902578domain
              @ ( collect_nat
                @ ^ [Y0: nat] : $true ) ) ) )
        = $false )
      | ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X1 @ p ) ) ),
    inference(beta-eta_normalization,[],[f3287]) ).

thf(f3289,plain,
    ! [X2: list_char > paraco1605129243lle_tv,X1: list_char > paraco1605129243lle_tv] :
      ( ( $false
        = ( member266900804lle_tv @ ( sK243 @ X1 )
          @ ( paraco1933902578domain
            @ ( collect_nat
              @ ^ [Y0: nat] : $true ) ) ) )
      | ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) )
      | ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X1 @ p ) ) ),
    inference(imp_proxy_clausification,[],[f3288]) ).

thf(f3291,plain,
    ( ( $false
      = ( ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ Y0 @ p ) )
        @ sK244 ) )
    | ( ( ~ ( !! @ ( list_char > paraco1605129243lle_tv )
            @ ^ [Y0: list_char > paraco1605129243lle_tv] :
                ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                      ( !! @ paraco1605129243lle_tv
                      @ ^ [Y3: paraco1605129243lle_tv] :
                          ( ( member266900804lle_tv @ Y3 @ Y1 )
                         => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
                  @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
                  @ ( paraco1933902578domain
                    @ ( collect_nat
                      @ ^ [Y1: nat] : $true ) ) )
               => ( ( paraco1344940915le_Det @ $true )
                  = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) )
      = $true ) ),
    inference(sigma_proxy_clausification,[],[f3278]) ).

thf(f3292,plain,
    ( ( $false
      = ( ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ Y0 @ p ) )
        @ sK244 ) )
    | ( $false
      = ( !! @ ( list_char > paraco1605129243lle_tv )
        @ ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                  ( !! @ paraco1605129243lle_tv
                  @ ^ [Y3: paraco1605129243lle_tv] :
                      ( ( member266900804lle_tv @ Y3 @ Y1 )
                     => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
              @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
              @ ( paraco1933902578domain
                @ ( collect_nat
                  @ ^ [Y1: nat] : $true ) ) )
           => ( ( paraco1344940915le_Det @ $true )
              = ( paraco1325918602e_eval @ Y0 @ p ) ) ) ) ) ),
    inference(not_proxy_clausification,[],[f3291]) ).

thf(f3293,plain,
    ( ( $false
      = ( ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( ^ [Y1: set_Pa1764573435lle_tv,Y2: set_Pa1764573435lle_tv] :
                  ( !! @ paraco1605129243lle_tv
                  @ ^ [Y3: paraco1605129243lle_tv] :
                      ( ( member266900804lle_tv @ Y3 @ Y1 )
                     => ( member266900804lle_tv @ Y3 @ Y2 ) ) )
              @ ( image_1187894195lle_tv @ Y0 @ top_to748628679t_char )
              @ ( paraco1933902578domain
                @ ( collect_nat
                  @ ^ [Y1: nat] : $true ) ) )
           => ( ( paraco1344940915le_Det @ $true )
              = ( paraco1325918602e_eval @ Y0 @ p ) ) )
        @ sK245 ) )
    | ( $false
      = ( ^ [Y0: list_char > paraco1605129243lle_tv] :
            ( ( paraco1344940915le_Det @ $true )
            = ( paraco1325918602e_eval @ Y0 @ p ) )
        @ sK244 ) ) ),
    inference(sigma_proxy_clausification,[],[f3292]) ).

thf(f3294,plain,
    ( ( $false
      = ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ sK244 @ p ) ) )
    | ( ( ( !! @ paraco1605129243lle_tv
          @ ^ [Y0: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ sK245 @ top_to748628679t_char ) )
             => ( member266900804lle_tv @ Y0
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) ) ) )
       => ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ sK245 @ p ) ) )
      = $false ) ),
    inference(beta-eta_normalization,[],[f3293]) ).

thf(f3295,plain,
    ( ( ( ( !! @ paraco1605129243lle_tv
          @ ^ [Y0: paraco1605129243lle_tv] :
              ( ( member266900804lle_tv @ Y0 @ ( image_1187894195lle_tv @ sK245 @ top_to748628679t_char ) )
             => ( member266900804lle_tv @ Y0
                @ ( paraco1933902578domain
                  @ ( collect_nat
                    @ ^ [Y1: nat] : $true ) ) ) ) )
       => ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ sK245 @ p ) ) )
      = $false )
    | ( ( paraco1344940915le_Det @ $true )
     != ( paraco1325918602e_eval @ sK244 @ p ) ) ),
    inference(equality_proxy_clausification,[],[f3294]) ).

thf(f3296,plain,
    ( ( ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ sK245 @ p ) )
      = $false )
    | ( ( paraco1344940915le_Det @ $true )
     != ( paraco1325918602e_eval @ sK244 @ p ) ) ),
    inference(imp_proxy_clausification,[],[f3295]) ).

thf(f3301,plain,
    ( ( ( paraco1344940915le_Det @ $true )
     != ( paraco1325918602e_eval @ sK245 @ p ) )
    | ( ( paraco1344940915le_Det @ $true )
     != ( paraco1325918602e_eval @ sK244 @ p ) ) ),
    inference(equality_proxy_clausification,[],[f3296]) ).

thf(f4276,definition,
    ( spl357_2
  <=> ! [X2: list_char > paraco1605129243lle_tv] :
        ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) ) ),
    introduced(definition,[new_symbols(definition,[spl357_2])],[avatar_definition]) ).

thf(f4277,plain,
    ( ! [X2: list_char > paraco1605129243lle_tv] :
        ( ( paraco1344940915le_Det @ $true )
        = ( paraco1325918602e_eval @ X2 @ p ) )
    | ~ spl357_2 ),
    inference(avatar_component_clause,[],[f4276]) ).

thf(f4280,definition,
    ( spl357_3
  <=> ! [X1: list_char > paraco1605129243lle_tv] :
        ( ( $false
          = ( member266900804lle_tv @ ( sK243 @ X1 )
            @ ( paraco1933902578domain
              @ ( collect_nat
                @ ^ [Y0: nat] : $true ) ) ) )
        | ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X1 @ p ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl357_3])],[avatar_definition]) ).

thf(f4281,plain,
    ( ! [X1: list_char > paraco1605129243lle_tv] :
        ( ( $false
          = ( member266900804lle_tv @ ( sK243 @ X1 )
            @ ( paraco1933902578domain
              @ ( collect_nat
                @ ^ [Y0: nat] : $true ) ) ) )
        | ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X1 @ p ) ) )
    | ~ spl357_3 ),
    inference(avatar_component_clause,[],[f4280]) ).

thf(f4282,plain,
    ( spl357_2
    | spl357_3 ),
    inference(avatar_split_clause,[],[f3289,f4280,f4276]) ).

thf(f4284,definition,
    ( spl357_4
  <=> ( ( paraco1344940915le_Det @ $true )
      = ( paraco1325918602e_eval @ sK244 @ p ) ) ),
    introduced(definition,[new_symbols(definition,[spl357_4])],[avatar_definition]) ).

thf(f4286,plain,
    ( ( ( paraco1344940915le_Det @ $true )
     != ( paraco1325918602e_eval @ sK244 @ p ) )
    | spl357_4 ),
    inference(avatar_component_clause,[],[f4284]) ).

thf(f4292,definition,
    ( spl357_6
  <=> ( ( paraco1344940915le_Det @ $true )
      = ( paraco1325918602e_eval @ sK245 @ p ) ) ),
    introduced(definition,[new_symbols(definition,[spl357_6])],[avatar_definition]) ).

thf(f4294,plain,
    ( ( ( paraco1344940915le_Det @ $true )
     != ( paraco1325918602e_eval @ sK245 @ p ) )
    | spl357_6 ),
    inference(avatar_component_clause,[],[f4292]) ).

thf(f4295,plain,
    ( ~ spl357_6
    | ~ spl357_4 ),
    inference(avatar_split_clause,[],[f3301,f4284,f4292]) ).

thf(f4296,plain,
    ( $false
    | ~ spl357_2
    | spl357_4 ),
    inference(forward_subsumption_resolution,[],[f4286,f4277]) ).

thf(f4297,plain,
    ( ~ spl357_2
    | spl357_4 ),
    inference(avatar_contradiction_clause,[],[f4296]) ).

thf(f4298,plain,
    ( $false
    | ~ spl357_2
    | spl357_6 ),
    inference(forward_subsumption_resolution,[],[f4294,f4277]) ).

thf(f4299,plain,
    ( ~ spl357_2
    | spl357_6 ),
    inference(avatar_contradiction_clause,[],[f4298]) ).

thf(f4301,plain,
    ( ! [X1: list_char > paraco1605129243lle_tv] :
        ( ( $false
          = ( member266900804lle_tv @ ( sK243 @ X1 )
            @ ( collec1111687558lle_tv
              @ ^ [Y0: paraco1605129243lle_tv] : $true ) ) )
        | ( ( paraco1344940915le_Det @ $true )
          = ( paraco1325918602e_eval @ X1 @ p ) ) )
    | ~ spl357_3 ),
    inference(forward_demodulation,[],[f4281,f1810]) ).

thf(f4336,plain,
    ( ! [X0: list_char > paraco1605129243lle_tv] :
        ( ( $false
          = ( member266900804lle_tv @ ( sK243 @ X0 ) @ top_to1057771083lle_tv ) )
        | ( ( paraco1325918602e_eval @ X0 @ p )
          = ( paraco1344940915le_Det @ $true ) ) )
    | ~ spl357_3 ),
    inference(superposition,[],[f4301,f1658]) ).

thf(f4575,plain,
    ( ! [X0: list_char > paraco1605129243lle_tv] :
        ( ( $false = $true )
        | ( ( paraco1325918602e_eval @ X0 @ p )
          = ( paraco1344940915le_Det @ $true ) ) )
    | ~ spl357_3 ),
    inference(superposition,[],[f4336,f1716]) ).

thf(f4577,plain,
    ( ! [X0: list_char > paraco1605129243lle_tv] :
        ( ( paraco1325918602e_eval @ X0 @ p )
        = ( paraco1344940915le_Det @ $true ) )
    | ~ spl357_3 ),
    inference(trivial_inequality_removal,[],[f4575]) ).

thf(f4580,plain,
    ( spl357_2
    | ~ spl357_3 ),
    inference(avatar_split_clause,[],[f4577,f4280,f4276]) ).

cnf(s2,plain,
    ( spl357_2
    | spl357_3 ),
    inference(sat_conversion,[],[f4282]) ).

cnf(s4,plain,
    ( ~ spl357_4
    | ~ spl357_6 ),
    inference(sat_conversion,[],[f4295]) ).

cnf(s5,plain,
    ( ~ spl357_2
    | spl357_4 ),
    inference(sat_conversion,[],[f4297]) ).

cnf(s6,plain,
    ( ~ spl357_2
    | spl357_6 ),
    inference(sat_conversion,[],[f4299]) ).

cnf(s9,plain,
    ( spl357_2
    | ~ spl357_3 ),
    inference(sat_conversion,[],[f4580]) ).

cnf(s11,plain,
    ~ spl357_2,
    inference(rat,[],[s4,s5,s6]) ).

cnf(s12,plain,
    ~ spl357_3,
    inference(rat,[],[s9,s11]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s2,s12,s11]) ).

thf(f4581,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP138^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19  % Computer : n001.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Sep 29 20:05:06 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running higher-order theorem proving
% 0.22/0.28  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.43  % (1745174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.43  % (1745181)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2617699981:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.43  % (1745181)Instruction limit reached! 
% 0.61/0.43  % (1745181)------------------------------
% 0.61/0.43  % (1745181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43  % (1745181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43  % (1745181)CaDiCaL version: 2.1.3
% 0.61/0.43  % (1745181)Termination reason: Instruction limit
% 0.61/0.43  % (1745181)Termination phase: shuffling
% 0.61/0.43  % (1745181)Time elapsed: 0.002 s
% 0.61/0.43  % (1745181)Peak memory usage: 10 MB
% 0.61/0.43  % (1745181)Instructions burned: 7 (million)
% 0.61/0.43  % (1745179)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3944224283:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.43  % (1745180)lrs+10_16_si=on:nwc=1.5:random_seed=3210928234:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.43  % (1745183)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=926063730:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.43  % (1745184)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=820400870:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.43  % (1745180)Instruction limit reached! 
% 0.61/0.43  % (1745180)------------------------------
% 0.61/0.43  % (1745180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43  % (1745180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43  % (1745180)CaDiCaL version: 2.1.3
% 0.61/0.43  % (1745180)Termination reason: Instruction limit
% 0.61/0.43  % (1745180)Termination phase: shuffling
% 0.61/0.43  % (1745180)Time elapsed: 0.008 s
% 0.61/0.43  % (1745180)Peak memory usage: 10 MB
% 0.61/0.43  % (1745180)Instructions burned: 18 (million)
% 0.61/0.43  % (1745185)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.43  % (1745185)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
% 0.61/0.43  % (1745183)Instruction limit reached! 
% 0.61/0.43  % (1745183)------------------------------
% 0.61/0.43  % (1745183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43  % (1745183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43  % (1745183)CaDiCaL version: 2.1.3
% 0.61/0.43  % (1745183)Termination reason: Instruction limit
% 0.61/0.43  % (1745183)Termination phase: shuffling
% 0.61/0.43  % (1745183)Time elapsed: 0.011 s
% 0.61/0.43  % (1745183)Peak memory usage: 10 MB
% 0.61/0.43  % (1745183)Instructions burned: 24 (million)
% 0.61/0.43  % (1745182)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=4158056065: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)
% 0.61/0.43  % (1745184)Instruction limit reached! 
% 0.61/0.43  % (1745184)------------------------------
% 0.61/0.43  % (1745184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43  % (1745184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43  % (1745184)CaDiCaL version: 2.1.3
% 0.61/0.43  % (1745184)Termination reason: Instruction limit
% 0.61/0.43  % (1745184)Termination phase: Property scanning
% 0.61/0.43  % (1745184)Time elapsed: 0.019 s
% 0.61/0.43  % (1745184)Peak memory usage: 12 MB
% 0.61/0.43  % (1745184)Instructions burned: 77 (million)
% 0.61/0.43  % (1745185)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=56798371:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.43  % (1745193)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.43  % (1745193)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2595823999:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.48  % (1745187)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3461678176:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.48  % (1745192)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2005718065:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.48  % (1745193)Instruction limit reached! 
% 0.61/0.48  % (1745193)------------------------------
% 0.61/0.48  % (1745193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48  % (1745193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48  % (1745193)CaDiCaL version: 2.1.3
% 0.61/0.48  % (1745193)Termination reason: Instruction limit
% 0.61/0.48  % (1745193)Termination phase: shuffling
% 0.61/0.48  % (1745193)Time elapsed: 0.002 s
% 0.61/0.48  % (1745193)Peak memory usage: 10 MB
% 0.61/0.48  % (1745193)Instructions burned: 8 (million)
% 0.61/0.48  % (1745192)Instruction limit reached! 
% 0.61/0.48  % (1745192)------------------------------
% 0.61/0.48  % (1745192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48  % (1745192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48  % (1745192)CaDiCaL version: 2.1.3
% 0.61/0.48  % (1745192)Termination reason: Instruction limit
% 0.61/0.48  % (1745192)Termination phase: shuffling
% 0.61/0.48  % (1745192)Time elapsed: 0.003 s
% 0.61/0.48  % (1745192)Peak memory usage: 10 MB
% 0.61/0.48  % (1745192)Instructions burned: 5 (million)
% 0.61/0.48  % (1745187)Instruction limit reached! 
% 0.61/0.48  % (1745187)------------------------------
% 0.61/0.48  % (1745187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48  % (1745187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48  % (1745187)CaDiCaL version: 2.1.3
% 0.61/0.48  % (1745187)Termination reason: Instruction limit
% 0.61/0.48  % (1745187)Termination phase: shuffling
% 0.61/0.48  % (1745187)Time elapsed: 0.003 s
% 0.61/0.48  % (1745187)Peak memory usage: 10 MB
% 0.61/0.48  % (1745187)Instructions burned: 2 (million)
% 0.61/0.48  % (1745200)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
% 0.61/0.48  % (1745200)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.48  % (1745179)Instruction limit reached! 
% 0.61/0.48  % (1745179)------------------------------
% 0.61/0.48  % (1745179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48  % (1745179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48  % (1745179)CaDiCaL version: 2.1.3
% 0.61/0.48  % (1745179)Termination reason: Instruction limit
% 0.61/0.48  % (1745179)Termination phase: Property scanning
% 0.61/0.48  % (1745179)Time elapsed: 0.040 s
% 0.61/0.48  % (1745179)Peak memory usage: 12 MB
% 0.61/0.48  % (1745195)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1458459887:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.48  % (1745179)Instructions burned: 88 (million)
% 0.61/0.48  % (1745200)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3145681182:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.48  % (1745195)Instruction limit reached! 
% 0.61/0.48  % (1745195)------------------------------
% 0.61/0.48  % (1745195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48  % (1745195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48  % (1745195)CaDiCaL version: 2.1.3
% 0.61/0.48  % (1745195)Termination reason: Instruction limit
% 0.61/0.48  % (1745195)Termination phase: shuffling
% 0.61/0.48  % (1745195)Time elapsed: 0.006 s
% 0.61/0.48  % (1745195)Peak memory usage: 10 MB
% 0.61/0.48  % (1745195)Instructions burned: 14 (million)
% 0.61/0.48  % (1745200)Instruction limit reached! 
% 0.61/0.48  % (1745200)------------------------------
% 0.61/0.48  % (1745200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48  % (1745200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48  % (1745200)CaDiCaL version: 2.1.3
% 0.61/0.48  % (1745200)Termination reason: Instruction limit
% 1.30/0.51  % (1745200)Termination phase: shuffling
% 1.30/0.51  % (1745200)Time elapsed: 0.008 s
% 1.30/0.51  % (1745200)Peak memory usage: 10 MB
% 1.30/0.51  % (1745200)Instructions burned: 32 (million)
% 1.30/0.51  % (1745201)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=3365673536:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.30/0.51  % (1745202)lrs+10_1_si=on:cs=on:random_seed=1090235872:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.30/0.51  % (1745205)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.30/0.51  % (1745207)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3679595116:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.30/0.51  % (1745202)Instruction limit reached! 
% 1.30/0.51  % (1745202)------------------------------
% 1.30/0.51  % (1745202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51  % (1745202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51  % (1745202)CaDiCaL version: 2.1.3
% 1.30/0.51  % (1745202)Termination reason: Instruction limit
% 1.30/0.51  % (1745202)Termination phase: shuffling
% 1.30/0.51  % (1745202)Time elapsed: 0.004 s
% 1.30/0.51  % (1745202)Peak memory usage: 10 MB
% 1.30/0.51  % (1745202)Instructions burned: 8 (million)
% 1.30/0.51  % (1745205)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=3382100091:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.30/0.51  % (1745205)Instruction limit reached! 
% 1.30/0.51  % (1745205)------------------------------
% 1.30/0.51  % (1745205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51  % (1745205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51  % (1745205)CaDiCaL version: 2.1.3
% 1.30/0.51  % (1745205)Termination reason: Instruction limit
% 1.30/0.51  % (1745205)Termination phase: shuffling
% 1.30/0.51  % (1745205)Time elapsed: 0.003 s
% 1.30/0.51  % (1745205)Peak memory usage: 10 MB
% 1.30/0.51  % (1745205)Instructions burned: 6 (million)
% 1.30/0.51  % (1745206)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=853333234:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.30/0.51  % (1745212)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3093738276:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.30/0.51  % (1745213)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3536935763:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.30/0.51  % (1745206)Instruction limit reached! 
% 1.30/0.51  % (1745206)------------------------------
% 1.30/0.51  % (1745206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51  % (1745206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51  % (1745206)CaDiCaL version: 2.1.3
% 1.30/0.51  % (1745206)Termination reason: Instruction limit
% 1.30/0.51  % (1745206)Termination phase: SInE selection
% 1.30/0.51  % (1745206)Time elapsed: 0.017 s
% 1.30/0.51  % (1745206)Peak memory usage: 11 MB
% 1.30/0.51  % (1745206)Instructions burned: 39 (million)
% 1.30/0.51  % (1745201)Instruction limit reached! 
% 1.30/0.51  % (1745201)------------------------------
% 1.30/0.51  % (1745201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51  % (1745201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51  % (1745201)CaDiCaL version: 2.1.3
% 1.30/0.51  % (1745201)Termination reason: Instruction limit
% 1.30/0.51  % (1745201)Termination phase: Property scanning
% 1.30/0.51  % (1745201)Time elapsed: 0.037 s
% 1.30/0.51  % (1745201)Peak memory usage: 11 MB
% 1.30/0.51  % (1745201)Instructions burned: 86 (million)
% 1.30/0.51  % (1745213)Instruction limit reached! 
% 1.30/0.51  % (1745213)------------------------------
% 1.30/0.51  % (1745213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51  % (1745213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51  % (1745213)CaDiCaL version: 2.1.3
% 1.30/0.51  % (1745213)Termination reason: Instruction limit
% 1.30/0.51  % (1745213)Termination phase: shuffling
% 1.30/0.51  % (1745213)Time elapsed: 0.007 s
% 1.30/0.58  % (1745213)Peak memory usage: 10 MB
% 1.30/0.58  % (1745213)Instructions burned: 16 (million)
% 1.30/0.58  % (1745212)Instruction limit reached! 
% 1.30/0.58  % (1745212)------------------------------
% 1.30/0.58  % (1745212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745212)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745212)Termination reason: Instruction limit
% 1.30/0.58  % (1745212)Termination phase: Property scanning
% 1.30/0.58  % (1745212)Time elapsed: 0.013 s
% 1.30/0.58  % (1745212)Peak memory usage: 10 MB
% 1.30/0.58  % (1745212)Instructions burned: 30 (million)
% 1.30/0.58  % (1745217)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3038462076:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.30/0.58  % (1745218)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4275951175:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.30/0.58  % (1745219)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=236681093: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)
% 1.30/0.58  % (1745220)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=734884983:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.30/0.58  % (1745219)Instruction limit reached! 
% 1.30/0.58  % (1745219)------------------------------
% 1.30/0.58  % (1745219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745219)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745219)Termination reason: Instruction limit
% 1.30/0.58  % (1745219)Termination phase: shuffling
% 1.30/0.58  % (1745219)Time elapsed: 0.002 s
% 1.30/0.58  % (1745219)Peak memory usage: 10 MB
% 1.30/0.58  % (1745219)Instructions burned: 2 (million)
% 1.30/0.58  % (1745218)Instruction limit reached! 
% 1.30/0.58  % (1745218)------------------------------
% 1.30/0.58  % (1745218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745218)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745218)Termination reason: Instruction limit
% 1.30/0.58  % (1745218)Termination phase: shuffling
% 1.30/0.58  % (1745218)Time elapsed: 0.007 s
% 1.30/0.58  % (1745218)Peak memory usage: 10 MB
% 1.30/0.58  % (1745218)Instructions burned: 15 (million)
% 1.30/0.58  % (1745207)Instruction limit reached! 
% 1.30/0.58  % (1745207)------------------------------
% 1.30/0.58  % (1745207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745207)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745207)Termination reason: Instruction limit
% 1.30/0.58  % (1745207)Termination phase: Saturation
% 1.30/0.58  % (1745207)Time elapsed: 0.064 s
% 1.30/0.58  % (1745207)Peak memory usage: 13 MB
% 1.30/0.58  % (1745207)Instructions burned: 250 (million)
% 1.30/0.58  % (1745220)Instruction limit reached! 
% 1.30/0.58  % (1745220)------------------------------
% 1.30/0.58  % (1745220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745220)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745220)Termination reason: Instruction limit
% 1.30/0.58  % (1745220)Termination phase: shuffling
% 1.30/0.58  % (1745220)Time elapsed: 0.012 s
% 1.30/0.58  % (1745220)Peak memory usage: 10 MB
% 1.30/0.58  % (1745220)Instructions burned: 26 (million)
% 1.30/0.58  % (1745225)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1477812343:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.30/0.58  % (1745227)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
% 1.30/0.58  % (1745227)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.30/0.58  % (1745226)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3278222091:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.30/0.58  % (1745227)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=3173695441:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.30/0.58  % (1745227)Instruction limit reached! 
% 1.30/0.58  % (1745227)------------------------------
% 1.30/0.58  % (1745227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745227)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745227)Termination reason: Instruction limit
% 1.30/0.58  % (1745227)Termination phase: shuffling
% 1.30/0.58  % (1745227)Time elapsed: 0.003 s
% 1.30/0.58  % (1745227)Peak memory usage: 10 MB
% 1.30/0.58  % (1745227)Instructions burned: 14 (million)
% 1.30/0.58  % (1745228)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.30/0.58  % (1745225)Instruction limit reached! 
% 1.30/0.58  % (1745225)------------------------------
% 1.30/0.58  % (1745225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745225)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745225)Termination reason: Instruction limit
% 1.30/0.58  % (1745225)Termination phase: shuffling
% 1.30/0.58  % (1745225)Time elapsed: 0.011 s
% 1.30/0.58  % (1745225)Peak memory usage: 10 MB
% 1.30/0.58  % (1745225)Instructions burned: 23 (million)
% 1.30/0.58  % (1745185)Instruction limit reached! 
% 1.30/0.58  % (1745185)------------------------------
% 1.30/0.58  % (1745185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745185)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745185)Termination reason: Instruction limit
% 1.30/0.58  % (1745185)Termination phase: Saturation
% 1.30/0.58  % (1745185)Time elapsed: 0.120 s
% 1.30/0.58  % (1745185)Peak memory usage: 14 MB
% 1.30/0.58  % (1745185)Instructions burned: 157 (million)
% 1.30/0.58  % (1745228)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=3751508275:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.30/0.58  % (1745232)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=687688745:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.30/0.58  % (1745228)Instruction limit reached! 
% 1.30/0.58  % (1745228)------------------------------
% 1.30/0.58  % (1745228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745228)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745228)Termination reason: Instruction limit
% 1.30/0.58  % (1745228)Termination phase: shuffling
% 1.30/0.58  % (1745228)Time elapsed: 0.007 s
% 1.30/0.58  % (1745228)Peak memory usage: 10 MB
% 1.30/0.58  % (1745228)Instructions burned: 15 (million)
% 1.30/0.58  % (1745232)Instruction limit reached! 
% 1.30/0.58  % (1745232)------------------------------
% 1.30/0.58  % (1745232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745232)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745232)Termination reason: Instruction limit
% 1.30/0.58  % (1745232)Termination phase: shuffling
% 1.30/0.58  % (1745232)Time elapsed: 0.008 s
% 1.30/0.58  % (1745232)Peak memory usage: 11 MB
% 1.30/0.58  % (1745232)Instructions burned: 32 (million)
% 1.30/0.58  % (1745234)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4234905811:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.30/0.58  % (1745226)Instruction limit reached! 
% 1.30/0.58  % (1745226)------------------------------
% 1.30/0.58  % (1745226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745226)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745226)Termination reason: Instruction limit
% 1.30/0.58  % (1745226)Termination phase: Preprocessing 3
% 1.30/0.58  % (1745226)Time elapsed: 0.029 s
% 1.30/0.58  % (1745226)Peak memory usage: 12 MB
% 1.30/0.58  % (1745226)Instructions burned: 62 (million)
% 1.30/0.58  % (1745238)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=411782739:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.30/0.58  % (1745234)Instruction limit reached! 
% 1.30/0.58  % (1745234)------------------------------
% 1.30/0.58  % (1745234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745234)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745234)Termination reason: Instruction limit
% 1.30/0.58  % (1745234)Termination phase: shuffling
% 1.30/0.58  % (1745234)Time elapsed: 0.004 s
% 1.30/0.58  % (1745234)Peak memory usage: 10 MB
% 1.30/0.58  % (1745234)Instructions burned: 8 (million)
% 1.30/0.58  % (1745237)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2802252498:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.30/0.58  % (1745235)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4068171125:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.30/0.58  % (1745240)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=924333969:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.30/0.58  % (1745237)Instruction limit reached! 
% 1.30/0.58  % (1745237)------------------------------
% 1.30/0.58  % (1745237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745237)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745237)Termination reason: Instruction limit
% 1.30/0.58  % (1745237)Termination phase: shuffling
% 1.30/0.58  % (1745237)Time elapsed: 0.009 s
% 1.30/0.58  % (1745237)Peak memory usage: 10 MB
% 1.30/0.58  % (1745237)Instructions burned: 20 (million)
% 1.30/0.58  % (1745242)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1027271416:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.30/0.58  % (1745235)Instruction limit reached! 
% 1.30/0.58  % (1745235)------------------------------
% 1.30/0.58  % (1745235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745235)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745235)Termination reason: Instruction limit
% 1.30/0.58  % (1745235)Termination phase: shuffling
% 1.30/0.58  % (1745235)Time elapsed: 0.015 s
% 1.30/0.58  % (1745235)Peak memory usage: 10 MB
% 1.30/0.58  % (1745235)Instructions burned: 25 (million)
% 1.30/0.58  % (1745248)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.30/0.58  % (1745248)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=267981712:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.30/0.58  % (1745248)Instruction limit reached! 
% 1.30/0.58  % (1745248)------------------------------
% 1.30/0.58  % (1745248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745248)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745248)Termination reason: Instruction limit
% 1.30/0.58  % (1745248)Termination phase: shuffling
% 1.30/0.58  % (1745248)Time elapsed: 0.004 s
% 1.30/0.58  % (1745248)Peak memory usage: 10 MB
% 1.30/0.58  % (1745248)Instructions burned: 9 (million)
% 1.30/0.58  % (1745246)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1736836656:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.30/0.58  % (1745217) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1745174-1745217"...
% 1.30/0.58  % (1745217)...printing done.
% 1.30/0.58  % (1745217)Refutation found. Thanks to Tanya!
% 1.30/0.58  % SZS status Theorem for theBenchmark
% 1.30/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.58  % (1745217)------------------------------
% 1.30/0.58  % (1745217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.58  % (1745217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.58  % (1745217)CaDiCaL version: 2.1.3
% 1.30/0.58  % (1745217)Termination reason: Refutation
% 1.30/0.58  % (1745217)Time elapsed: 0.124 s
% 1.30/0.58  % (1745217)Peak memory usage: 16 MB
% 1.30/0.58  % (1745217)Instructions burned: 258 (million)
% 1.30/0.58  % (1745174)Success in time 0.283 s
% 1.30/0.58  % Vampire exiting
%------------------------------------------------------------------------------