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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP256^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 08:09:30 AM UTC 2026

% Result   : Theorem 17.07s 7.28s
% Output   : Refutation 17.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   46 (  18 unt;   0 typ;   3 def)
%            Number of atoms       :  197 (  57 equ;   0 cnn)
%            Maximal formula atoms :    8 (   4 avg)
%            Number of connectives :  342 (  40   ~;  28   |;  14   &; 249   @)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :  174 ( 173 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 2274 (2271 usr;  81 con; 0-5 aty)
%            Number of variables   :   31 (   0 sgn  31   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc1319942482725812455at_nat: $tType ).

thf(type_def_6,type,
    produc5542196010084753463at_nat: $tType ).

thf(type_def_7,type,
    list_P7828571989066258726nteger: $tType ).

thf(type_def_8,type,
    set_Pr1281608226676607948nteger: $tType ).

thf(type_def_9,type,
    produc1908205239877642774nteger: $tType ).

thf(type_def_10,type,
    produc5491161045314408544at_nat: $tType ).

thf(type_def_11,type,
    list_P651320350408439699nt_int: $tType ).

thf(type_def_12,type,
    set_Pr9222295170931077689nt_int: $tType ).

thf(type_def_13,type,
    produc2285326912895808259nt_int: $tType ).

thf(type_def_14,type,
    list_P5311841565141990158nteger: $tType ).

thf(type_def_15,type,
    set_Pr8056137968301705908nteger: $tType ).

thf(type_def_16,type,
    produc8763457246119570046nteger: $tType ).

thf(type_def_17,type,
    list_P1316552470764441098e_term: $tType ).

thf(type_def_18,type,
    set_Pr7604974323444597168e_term: $tType ).

thf(type_def_19,type,
    list_P1743416141875011707e_term: $tType ).

thf(type_def_20,type,
    set_Pr3642885161833720865e_term: $tType ).

thf(type_def_21,type,
    list_P8915022641806594461nt_int: $tType ).

thf(type_def_22,type,
    set_Pr1872883991513573699nt_int: $tType ).

thf(type_def_23,type,
    produc7773217078559923341nt_int: $tType ).

thf(type_def_24,type,
    list_P5464809261938338413at_nat: $tType ).

thf(type_def_25,type,
    set_Pr4329608150637261639at_nat: $tType ).

thf(type_def_26,type,
    produc1193250871479095198on_num: $tType ).

thf(type_def_27,type,
    produc8306885398267862888on_nat: $tType ).

thf(type_def_28,type,
    produc6121120109295599847at_nat: $tType ).

thf(type_def_29,type,
    produc7036089656553540234on_num: $tType ).

thf(type_def_30,type,
    produc2233624965454879586on_nat: $tType ).

thf(type_def_31,type,
    produc3843707927480180839at_nat: $tType ).

thf(type_def_32,type,
    list_P8469869581646625389at_nat: $tType ).

thf(type_def_33,type,
    list_C878401137130745250e_term: $tType ).

thf(type_def_34,type,
    set_Pr8693737435421807431at_nat: $tType ).

thf(type_def_35,type,
    set_Co9149898834107579976e_term: $tType ).

thf(type_def_36,type,
    list_i8448526496819171953e_term: $tType ).

thf(type_def_37,type,
    set_Pr1916528119006554503T_VEBT: $tType ).

thf(type_def_38,type,
    produc859450856879609959at_nat: $tType ).

thf(type_def_39,type,
    set_in3461395444621081367e_term: $tType ).

thf(type_def_40,type,
    produc9211091688327510695T_VEBT: $tType ).

thf(type_def_41,type,
    produc6241069584506657477e_term: $tType ).

thf(type_def_42,type,
    set_fi4554929511873752355omplex: $tType ).

thf(type_def_43,type,
    set_Pr3451248702717554689st_nat: $tType ).

thf(type_def_44,type,
    set_Pr765067013931698361st_int: $tType ).

thf(type_def_45,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_46,type,
    produc8551481072490612790e_term: $tType ).

thf(type_def_47,type,
    set_Pr6192946355708809607T_VEBT: $tType ).

thf(type_def_48,type,
    list_P6254988961118846195et_nat: $tType ).

thf(type_def_49,type,
    list_P5578671422887162913nteger: $tType ).

thf(type_def_50,type,
    set_Pr5488025237498180813et_nat: $tType ).

thf(type_def_51,type,
    set_Pr4811707699266497531nteger: $tType ).

thf(type_def_52,type,
    option6357759511663192854e_term: $tType ).

thf(type_def_53,type,
    produc3447558737645232053on_num: $tType ).

thf(type_def_54,type,
    produc4953844613479565601on_nat: $tType ).

thf(type_def_55,type,
    set_fi7789364187291644575l_real: $tType ).

thf(type_def_56,type,
    filter6041513312241820739omplex: $tType ).

thf(type_def_57,type,
    list_P2623026923184700063T_real: $tType ).

thf(type_def_58,type,
    list_P877281246627933069T_VEBT: $tType ).

thf(type_def_59,type,
    produc1828647624359046049st_nat: $tType ).

thf(type_def_60,type,
    produc1186641810826059865st_int: $tType ).

thf(type_def_61,type,
    set_Pr7765410600122031685T_real: $tType ).

thf(type_def_62,type,
    set_Pr6019664923565264691T_VEBT: $tType ).

thf(type_def_63,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_64,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_65,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(type_def_66,type,
    list_P7524865323317820941T_VEBT: $tType ).

thf(type_def_67,type,
    set_Pr6227168374412355847list_o: $tType ).

thf(type_def_68,type,
    set_li5450038453877631591at_nat: $tType ).

thf(type_def_69,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_70,type,
    set_Pr7556676689462069481BT_nat: $tType ).

thf(type_def_71,type,
    set_Pr5066593544530342725BT_int: $tType ).

thf(type_def_72,type,
    set_Pr8044002425091019955T_VEBT: $tType ).

thf(type_def_73,type,
    set_se7855581050983116737at_nat: $tType ).

thf(type_def_74,type,
    set_Pr5085853215250843933omplex: $tType ).

thf(type_def_75,type,
    produc7819656566062154093et_nat: $tType ).

thf(type_def_76,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_77,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_78,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_79,type,
    filter2146258269922977983l_real: $tType ).

thf(type_def_80,type,
    set_Pr3175402225741728619VEBT_o: $tType ).

thf(type_def_81,type,
    set_Pr7543698050874017315T_VEBT: $tType ).

thf(type_def_82,type,
    option4927543243414619207at_nat: $tType ).

thf(type_def_83,type,
    list_P8689742595348180415l_real: $tType ).

thf(type_def_84,type,
    filter1242075044329608583at_nat: $tType ).

thf(type_def_85,type,
    set_Pr6218003697084177305l_real: $tType ).

thf(type_def_86,type,
    list_P6834414599653733731al_nat: $tType ).

thf(type_def_87,type,
    list_P4344331454722006975al_int: $tType ).

thf(type_def_88,type,
    list_P6863124054624500543t_real: $tType ).

thf(type_def_89,type,
    produc5170161368751668367T_real: $tType ).

thf(type_def_90,type,
    produc3757001726724277373T_VEBT: $tType ).

thf(type_def_91,type,
    set_Pr3510011417693777981al_nat: $tType ).

thf(type_def_92,type,
    set_Pr1019928272762051225al_int: $tType ).

thf(type_def_93,type,
    set_Pr3538720872664544793t_real: $tType ).

thf(type_def_94,type,
    produc7102631898165422375list_o: $tType ).

thf(type_def_95,type,
    list_P6011104703257516679at_nat: $tType ).

thf(type_def_96,type,
    list_P3521021558325789923at_int: $tType ).

thf(type_def_97,type,
    list_P5707943133018811711nt_int: $tType ).

thf(type_def_98,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_99,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_100,type,
    produc8025551001238799321T_VEBT: $tType ).

thf(type_def_101,type,
    produc1531783533982839933T_VEBT: $tType ).

thf(type_def_102,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_103,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(type_def_104,type,
    produc4411394909380815293omplex: $tType ).

thf(type_def_105,type,
    list_P3595434254542482545real_o: $tType ).

thf(type_def_106,type,
    list_P5232166724548748803o_real: $tType ).

thf(type_def_107,type,
    set_Pr4936984352647145239real_o: $tType ).

thf(type_def_108,type,
    set_Pr6573716822653411497o_real: $tType ).

thf(type_def_109,type,
    list_P7333126701944960589_nat_o: $tType ).

thf(type_def_110,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(type_def_111,type,
    list_P3795440434834930179_o_int: $tType ).

thf(type_def_112,type,
    set_list_VEBT_VEBT: $tType ).

thf(type_def_113,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_114,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(type_def_115,type,
    set_Pr2101469702781467981_o_nat: $tType ).

thf(type_def_116,type,
    set_Pr8834758594704517033_o_int: $tType ).

thf(type_def_117,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_118,type,
    produc2422161461964618553l_real: $tType ).

thf(type_def_119,type,
    produc3741383161447143261al_nat: $tType ).

thf(type_def_120,type,
    produc8786904178792722361al_int: $tType ).

thf(type_def_121,type,
    produc679980390762269497t_real: $tType ).

thf(type_def_122,type,
    product_prod_num_num: $tType ).

thf(type_def_123,type,
    product_prod_nat_num: $tType ).

thf(type_def_124,type,
    product_prod_nat_nat: $tType ).

thf(type_def_125,type,
    product_prod_nat_int: $tType ).

thf(type_def_126,type,
    product_prod_int_int: $tType ).

thf(type_def_127,type,
    list_P4002435161011370285od_o_o: $tType ).

thf(type_def_128,type,
    set_list_complex: $tType ).

thf(type_def_129,type,
    set_Product_prod_o_o: $tType ).

thf(type_def_130,type,
    set_set_complex: $tType ).

thf(type_def_131,type,
    option_VEBT_VEBT: $tType ).

thf(type_def_132,type,
    option_set_nat: $tType ).

thf(type_def_133,type,
    product_prod_real_o: $tType ).

thf(type_def_134,type,
    product_prod_o_real: $tType ).

thf(type_def_135,type,
    list_VEBT_VEBT: $tType ).

thf(type_def_136,type,
    set_list_nat: $tType ).

thf(type_def_137,type,
    set_list_int: $tType ).

thf(type_def_138,type,
    product_prod_nat_o: $tType ).

thf(type_def_139,type,
    product_prod_o_nat: $tType ).

thf(type_def_140,type,
    product_prod_o_int: $tType ).

thf(type_def_141,type,
    list_set_nat: $tType ).

thf(type_def_142,type,
    set_VEBT_VEBT: $tType ).

thf(type_def_143,type,
    set_set_nat: $tType ).

thf(type_def_144,type,
    set_set_int: $tType ).

thf(type_def_145,type,
    set_Code_integer: $tType ).

thf(type_def_146,type,
    set_Product_unit: $tType ).

thf(type_def_147,type,
    list_complex: $tType ).

thf(type_def_148,type,
    set_list_o: $tType ).

thf(type_def_149,type,
    product_prod_o_o: $tType ).

thf(type_def_150,type,
    set_complex: $tType ).

thf(type_def_151,type,
    option_real: $tType ).

thf(type_def_152,type,
    filter_real: $tType ).

thf(type_def_153,type,
    option_num: $tType ).

thf(type_def_154,type,
    option_nat: $tType ).

thf(type_def_155,type,
    option_int: $tType ).

thf(type_def_156,type,
    filter_nat: $tType ).

thf(type_def_157,type,
    list_real: $tType ).

thf(type_def_158,type,
    set_real: $tType ).

thf(type_def_159,type,
    list_num: $tType ).

thf(type_def_160,type,
    list_nat: $tType ).

thf(type_def_161,type,
    list_int: $tType ).

thf(type_def_162,type,
    vEBT_VEBT: $tType ).

thf(type_def_163,type,
    set_rat: $tType ).

thf(type_def_164,type,
    set_num: $tType ).

thf(type_def_165,type,
    set_nat: $tType ).

thf(type_def_166,type,
    set_int: $tType ).

thf(type_def_167,type,
    code_integer: $tType ).

thf(type_def_168,type,
    option_o: $tType ).

thf(type_def_169,type,
    extended_enat: $tType ).

thf(type_def_170,type,
    list_o: $tType ).

thf(type_def_171,type,
    complex: $tType ).

thf(type_def_172,type,
    set_o: $tType ).

thf(type_def_173,type,
    real: $tType ).

thf(type_def_174,type,
    rat: $tType ).

thf(type_def_175,type,
    num: $tType ).

thf(type_def_176,type,
    nat: $tType ).

thf(type_def_177,type,
    int: $tType ).

thf(type_def_178,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    archim2889992004027027881ng_rat: rat > int ).

thf(func_def_1,type,
    archim7802044766580827645g_real: real > int ).

thf(func_def_2,type,
    archim3151403230148437115or_rat: rat > int ).

thf(func_def_3,type,
    archim6058952711729229775r_real: real > int ).

thf(func_def_4,type,
    archimedean_frac_rat: rat > rat ).

thf(func_def_5,type,
    archim2898591450579166408c_real: real > real ).

thf(func_def_6,type,
    archim7778729529865785530nd_rat: rat > int ).

thf(func_def_7,type,
    archim8280529875227126926d_real: real > int ).

thf(func_def_8,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

thf(func_def_9,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

thf(func_def_10,type,
    bNF_re728719798268516973at_o_o: ( ( nat > rat ) > ( nat > rat ) > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( ( nat > rat ) > $o ) > $o ).

thf(func_def_11,type,
    bNF_re4297313714947099218al_o_o: ( ( nat > rat ) > real > $o ) > ( $o > $o > $o ) > ( ( nat > rat ) > $o ) > ( real > $o ) > $o ).

thf(func_def_12,type,
    bNF_re3403563459893282935_int_o: ( int > int > $o ) > ( ( int > $o ) > ( int > $o ) > $o ) > ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_13,type,
    bNF_re157797125943740599nt_int: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > $o ).

thf(func_def_14,type,
    bNF_re3461391660133120880nt_rat: ( int > int > $o ) > ( ( int > product_prod_int_int ) > ( int > rat ) > $o ) > ( int > int > product_prod_int_int ) > ( int > int > rat ) > $o ).

thf(func_def_15,type,
    bNF_re5089333283451836215nt_o_o: ( int > int > $o ) > ( $o > $o > $o ) > ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_16,type,
    bNF_re6250860962936578807nt_int: ( int > int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( int > product_prod_int_int ) > ( int > product_prod_int_int ) > $o ).

thf(func_def_17,type,
    bNF_re2214769303045360666nt_rat: ( int > int > $o ) > ( product_prod_int_int > rat > $o ) > ( int > product_prod_int_int ) > ( int > rat ) > $o ).

thf(func_def_18,type,
    bNF_re578469030762574527_nat_o: ( nat > nat > $o ) > ( ( nat > $o ) > ( nat > $o ) > $o ) > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_19,type,
    bNF_re4705727531993890431at_o_o: ( nat > nat > $o ) > ( $o > $o > $o ) > ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_20,type,
    bNF_re6830278522597306478at_int: ( nat > nat > $o ) > ( product_prod_nat_nat > int > $o ) > ( nat > product_prod_nat_nat ) > ( nat > int ) > $o ).

thf(func_def_21,type,
    bNF_re5228765855967844073nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > $o ).

thf(func_def_22,type,
    bNF_re8699439704749558557nt_o_o: ( product_prod_int_int > product_prod_int_int > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( product_prod_int_int > $o ) > $o ).

thf(func_def_23,type,
    bNF_re7145576690424134365nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( product_prod_int_int > product_prod_int_int ) > $o ).

thf(func_def_24,type,
    bNF_re7627151682743391978at_rat: ( product_prod_int_int > rat > $o ) > ( ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > ( rat > rat > rat ) > $o ).

thf(func_def_25,type,
    bNF_re1494630372529172596at_o_o: ( product_prod_int_int > rat > $o ) > ( $o > $o > $o ) > ( product_prod_int_int > $o ) > ( rat > $o ) > $o ).

thf(func_def_26,type,
    bNF_re8279943556446156061nt_rat: ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > rat > $o ) > ( product_prod_int_int > product_prod_int_int ) > ( rat > rat ) > $o ).

thf(func_def_27,type,
    bNF_re717283939379294677_int_o: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( int > int > $o ) > $o ).

thf(func_def_28,type,
    bNF_re7408651293131936558nt_int: ( product_prod_nat_nat > int > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( int > int > int ) > $o ).

thf(func_def_29,type,
    bNF_re6644619430987730960nt_o_o: ( product_prod_nat_nat > int > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( int > $o ) > $o ).

thf(func_def_30,type,
    bNF_re7400052026677387805at_int: ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( int > int ) > $o ).

thf(func_def_31,type,
    bNF_re4202695980764964119_nat_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > $o ).

thf(func_def_32,type,
    bNF_re3099431351363272937at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > $o ).

thf(func_def_33,type,
    bNF_re3666534408544137501at_o_o: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( $o > $o > $o ) > ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_34,type,
    bNF_re2241393799969408733at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( product_prod_nat_nat > product_prod_nat_nat ) > ( product_prod_nat_nat > product_prod_nat_nat ) > $o ).

thf(func_def_35,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_36,type,
    binomial: nat > nat > nat ).

thf(func_def_37,type,
    gbinomial_complex: complex > nat > complex ).

thf(func_def_38,type,
    gbinomial_int: int > nat > int ).

thf(func_def_39,type,
    gbinomial_nat: nat > nat > nat ).

thf(func_def_40,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_41,type,
    gbinomial_real: real > nat > real ).

thf(func_def_42,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_43,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_44,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_45,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_46,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_47,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_48,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_49,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_50,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_51,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_52,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_53,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_54,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_55,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_56,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_57,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_58,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_59,type,
    bit_se1080825931792720795nteger: code_integer > code_integer > code_integer ).

thf(func_def_60,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_61,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_62,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_63,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_64,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_65,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_66,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_67,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_68,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_69,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_70,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_71,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_72,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_73,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_74,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_75,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_76,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_77,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_78,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_79,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_80,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_81,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_82,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_83,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_84,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_85,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_86,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_87,type,
    code_integer_of_nat: nat > code_integer ).

thf(func_def_88,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_89,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

thf(func_def_90,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

thf(func_def_91,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(func_def_92,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_93,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_94,type,
    arg: complex > real ).

thf(func_def_95,type,
    cis: real > complex ).

thf(func_def_96,type,
    complex2: real > real > complex ).

thf(func_def_97,type,
    condit2214826472909112428ve_nat: set_nat > $o ).

thf(func_def_98,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(func_def_99,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(func_def_100,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_101,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_102,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_103,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_104,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_105,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_106,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_107,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_108,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_109,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_110,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_111,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_112,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_113,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(func_def_114,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_115,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_116,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_117,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(func_def_118,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_119,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_120,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_121,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_122,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_123,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_124,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_125,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_126,type,
    inverse_inverse_real: real > real ).

thf(func_def_127,type,
    at_bot_real: filter_real ).

thf(func_def_128,type,
    at_top_nat: filter_nat ).

thf(func_def_129,type,
    at_top_real: filter_real ).

thf(func_def_130,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_131,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_132,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_133,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_134,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_135,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_136,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

thf(func_def_137,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

thf(func_def_138,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_139,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_140,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_141,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_142,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_143,type,
    finite_card_set_nat: set_set_nat > nat ).

thf(func_def_144,type,
    finite_finite_o: set_o > $o ).

thf(func_def_145,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_146,type,
    finite_finite_int: set_int > $o ).

thf(func_def_147,type,
    finite_finite_list_o: set_list_o > $o ).

thf(func_def_148,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(func_def_149,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(func_def_150,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_151,type,
    finite500796754983035824at_nat: set_li5450038453877631591at_nat > $o ).

thf(func_def_152,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(func_def_153,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_154,type,
    finite_finite_num: set_num > $o ).

thf(func_def_155,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_156,type,
    finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_157,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_158,type,
    finite_finite_real: set_real > $o ).

thf(func_def_159,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

thf(func_def_160,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(func_def_161,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_162,type,
    finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).

thf(func_def_163,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

thf(func_def_164,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_165,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(func_def_166,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_167,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_168,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_169,type,
    comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).

thf(func_def_170,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

thf(func_def_171,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_172,type,
    inj_on_real_real: ( real > real ) > set_real > $o ).

thf(func_def_173,type,
    inj_on_set_nat_nat: ( set_nat > nat ) > set_set_nat > $o ).

thf(func_def_174,type,
    map_fu4960017516451851995nt_int: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > int > int > int ).

thf(func_def_175,type,
    map_fu3667384564859982768at_int: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ).

thf(func_def_176,type,
    map_fu4333342158222067775at_rat: ( rat > product_prod_int_int ) > ( ( product_prod_int_int > product_prod_int_int ) > rat > rat ) > ( product_prod_int_int > product_prod_int_int > product_prod_int_int ) > rat > rat > rat ).

thf(func_def_177,type,
    map_fu5673905371560938248nt_rat: ( rat > product_prod_int_int ) > ( product_prod_int_int > rat ) > ( product_prod_int_int > product_prod_int_int ) > rat > rat ).

thf(func_def_178,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_179,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(func_def_180,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_181,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_182,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_183,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_184,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_185,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_186,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

thf(func_def_187,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_188,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_189,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_190,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_191,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_192,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_193,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_194,type,
    abs_abs_complex: complex > complex ).

thf(func_def_195,type,
    abs_abs_int: int > int ).

thf(func_def_196,type,
    abs_abs_rat: rat > rat ).

thf(func_def_197,type,
    abs_abs_real: real > real ).

thf(func_def_198,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_199,type,
    minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).

thf(func_def_200,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_201,type,
    minus_2270307095948843157_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_202,type,
    minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).

thf(func_def_203,type,
    minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).

thf(func_def_204,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_205,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_206,type,
    minus_minus_int: int > int > int ).

thf(func_def_207,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_208,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_209,type,
    minus_minus_real: real > real > real ).

thf(func_def_210,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_211,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_212,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_213,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_214,type,
    minus_minus_set_num: set_num > set_num > set_num ).

thf(func_def_215,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_216,type,
    minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_217,type,
    minus_minus_set_rat: set_rat > set_rat > set_rat ).

thf(func_def_218,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_219,type,
    minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_220,type,
    one_one_Code_integer: code_integer ).

thf(func_def_221,type,
    one_one_complex: complex ).

thf(func_def_222,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_223,type,
    one_one_int: int ).

thf(func_def_224,type,
    one_one_nat: nat ).

thf(func_def_225,type,
    one_one_rat: rat ).

thf(func_def_226,type,
    one_one_real: real ).

thf(func_def_227,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_228,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_229,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_230,type,
    plus_plus_int: int > int > int ).

thf(func_def_231,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_232,type,
    plus_plus_num: num > num > num ).

thf(func_def_233,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_234,type,
    plus_plus_real: real > real > real ).

thf(func_def_235,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_236,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_237,type,
    sgn_sgn_int: int > int ).

thf(func_def_238,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_239,type,
    sgn_sgn_real: real > real ).

thf(func_def_240,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_241,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_242,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_243,type,
    times_times_int: int > int > int ).

thf(func_def_244,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_245,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_246,type,
    times_times_real: real > real > real ).

thf(func_def_247,type,
    uminus_uminus_int_o: ( int > $o ) > int > $o ).

thf(func_def_248,type,
    uminus5770388063884162150_nat_o: ( list_nat > $o ) > list_nat > $o ).

thf(func_def_249,type,
    uminus_uminus_nat_o: ( nat > $o ) > nat > $o ).

thf(func_def_250,type,
    uminus8676089048583255045_nat_o: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_251,type,
    uminus_uminus_real_o: ( real > $o ) > real > $o ).

thf(func_def_252,type,
    uminus6401447641752708672_nat_o: ( set_nat > $o ) > set_nat > $o ).

thf(func_def_253,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_254,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_255,type,
    uminus_uminus_int: int > int ).

thf(func_def_256,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_257,type,
    uminus_uminus_real: real > real ).

thf(func_def_258,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_259,type,
    uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).

thf(func_def_260,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_261,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_262,type,
    uminus935396558254630718at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_263,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_264,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

thf(func_def_265,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_266,type,
    zero_zero_complex: complex ).

thf(func_def_267,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_268,type,
    zero_zero_int: int ).

thf(func_def_269,type,
    zero_zero_nat: nat ).

thf(func_def_270,type,
    zero_zero_rat: rat ).

thf(func_def_271,type,
    zero_zero_real: real ).

thf(func_def_272,type,
    groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_273,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_274,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_275,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_276,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_277,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_278,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_279,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_280,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_281,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_282,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_283,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_284,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_285,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_286,type,
    groups7108830773950497114d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).

thf(func_def_287,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_288,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_289,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_290,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_291,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_292,type,
    groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).

thf(func_def_293,type,
    groups3860910324918113789at_nat: ( produc3843707927480180839at_nat > nat ) > set_Pr4329608150637261639at_nat > nat ).

thf(func_def_294,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_295,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_296,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_297,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_298,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_299,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_300,type,
    groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_301,type,
    groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).

thf(func_def_302,type,
    groups808145749697022017omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_303,type,
    groups2909182065852811199ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_304,type,
    groups2911672536361861475ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_305,type,
    groups2276542476275365739ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_306,type,
    groups5737402329758386879x_real: ( complex > real ) > set_complex > real ).

thf(func_def_307,type,
    groups267424677133301183omplex: ( int > complex ) > set_int > complex ).

thf(func_def_308,type,
    groups2983280209131991357nt_int: ( int > int ) > set_int > int ).

thf(func_def_309,type,
    groups2985770679641041633nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_310,type,
    groups2350640619554545897nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_311,type,
    groups1523912220035142973t_real: ( int > real ) > set_int > real ).

thf(func_def_312,type,
    groups8515261248781899619omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_313,type,
    groups1983926497230936801at_int: ( nat > int ) > set_nat > int ).

thf(func_def_314,type,
    groups1986416967739987077at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_315,type,
    groups1351286907653491341at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_316,type,
    groups8560362682196896993t_real: ( nat > real ) > set_nat > real ).

thf(func_def_317,type,
    groups5683813829254066239omplex: ( real > complex ) > set_real > complex ).

thf(func_def_318,type,
    groups3901808747961969597al_int: ( real > int ) > set_real > int ).

thf(func_def_319,type,
    groups3904299218471019873al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_320,type,
    groups3269169158384524137al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_321,type,
    groups97945582718554045l_real: ( real > real ) > set_real > real ).

thf(func_def_322,type,
    groups8682486955453173170nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_323,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_324,type,
    groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_325,type,
    groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_326,type,
    groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_327,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(func_def_328,type,
    groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_329,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(func_def_330,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_331,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_332,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_333,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(func_def_334,type,
    groups2907647131375434839at_nat: ( list_nat > nat ) > set_list_nat > nat ).

thf(func_def_335,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_336,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_337,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_338,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_339,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_340,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(func_def_341,type,
    groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_342,type,
    groups6225526099057966256nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_343,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(func_def_344,type,
    groups4694064378042380927al_int: ( real > int ) > set_real > int ).

thf(func_def_345,type,
    groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_346,type,
    groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_347,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(func_def_348,type,
    groups4248547760180025341at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_349,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_350,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_351,type,
    the_int: ( int > $o ) > int ).

thf(func_def_352,type,
    the_nat: ( nat > $o ) > nat ).

thf(func_def_353,type,
    the_Pr8210177043389155639nteger: ( produc8763457246119570046nteger > $o ) > produc8763457246119570046nteger ).

thf(func_def_354,type,
    the_Pr6882841213465913158nt_int: ( produc7773217078559923341nt_int > $o ) > produc7773217078559923341nt_int ).

thf(func_def_355,type,
    the_Pr6653488032121699663nteger: ( produc1908205239877642774nteger > $o ) > produc1908205239877642774nteger ).

thf(func_def_356,type,
    the_Pr5445864913131713084nt_int: ( produc2285326912895808259nt_int > $o ) > produc2285326912895808259nt_int ).

thf(func_def_357,type,
    the_Pr4378521158711661632nt_int: ( product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_358,type,
    the_Pr7557018466319803784at_nat: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_359,type,
    the_Pr4604535484834969198at_nat: ( produc3843707927480180839at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_360,type,
    the_real: ( real > $o ) > real ).

thf(func_def_361,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_362,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_363,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_364,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_365,type,
    if_int: $o > int > int > int ).

thf(func_def_366,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_367,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_368,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_369,type,
    if_num: $o > num > num > num ).

thf(func_def_370,type,
    if_option_nat: $o > option_nat > option_nat > option_nat ).

thf(func_def_371,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_372,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_373,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_374,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_375,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_376,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_377,type,
    if_real: $o > real > real > real ).

thf(func_def_378,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_379,type,
    if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_380,type,
    infini8530281810654367211te_nat: set_nat > nat > nat ).

thf(func_def_381,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_382,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_383,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_384,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_385,type,
    intrel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_386,type,
    nat2: int > nat ).

thf(func_def_387,type,
    pcr_int: product_prod_nat_nat > int > $o ).

thf(func_def_388,type,
    power_int_real: real > int > real ).

thf(func_def_389,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_390,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_391,type,
    ring_1_of_int_int: int > int ).

thf(func_def_392,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_393,type,
    ring_1_of_int_real: int > real ).

thf(func_def_394,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_395,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_396,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_397,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_398,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_399,type,
    sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_400,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_401,type,
    lattic5364784637807008409ex_nat: ( complex > nat ) > set_complex > complex ).

thf(func_def_402,type,
    lattic1922116423962787043ex_num: ( complex > num ) > set_complex > complex ).

thf(func_def_403,type,
    lattic4729654577720512673ex_rat: ( complex > rat ) > set_complex > complex ).

thf(func_def_404,type,
    lattic8794016678065449205x_real: ( complex > real ) > set_complex > complex ).

thf(func_def_405,type,
    lattic5003618458639192673nt_num: ( int > num ) > set_int > int ).

thf(func_def_406,type,
    lattic7811156612396918303nt_rat: ( int > rat ) > set_int > int ).

thf(func_def_407,type,
    lattic2675449441010098035t_real: ( int > real ) > set_int > int ).

thf(func_def_408,type,
    lattic4004264746738138117at_num: ( nat > num ) > set_nat > nat ).

thf(func_def_409,type,
    lattic6811802900495863747at_rat: ( nat > rat ) > set_nat > nat ).

thf(func_def_410,type,
    lattic488527866317076247t_real: ( nat > real ) > set_nat > nat ).

thf(func_def_411,type,
    lattic5055836439445974935al_nat: ( real > nat ) > set_real > real ).

thf(func_def_412,type,
    lattic1613168225601753569al_num: ( real > num ) > set_real > real ).

thf(func_def_413,type,
    lattic4420706379359479199al_rat: ( real > rat ) > set_real > real ).

thf(func_def_414,type,
    lattic8440615504127631091l_real: ( real > real ) > set_real > real ).

thf(func_def_415,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_416,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_417,type,
    count_list_o: list_o > $o > nat ).

thf(func_def_418,type,
    count_list_complex: list_complex > complex > nat ).

thf(func_def_419,type,
    count_list_int: list_int > int > nat ).

thf(func_def_420,type,
    count_list_nat: list_nat > nat > nat ).

thf(func_def_421,type,
    count_4203492906077236349at_nat: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_422,type,
    count_list_real: list_real > real > nat ).

thf(func_def_423,type,
    count_list_set_nat: list_set_nat > set_nat > nat ).

thf(func_def_424,type,
    count_list_VEBT_VEBT: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_425,type,
    distinct_int: list_int > $o ).

thf(func_def_426,type,
    distinct_nat: list_nat > $o ).

thf(func_def_427,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_428,type,
    enumerate_o: nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_429,type,
    enumerate_int: nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_430,type,
    enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_431,type,
    enumerate_VEBT_VEBT: nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_432,type,
    find_o: ( $o > $o ) > list_o > option_o ).

thf(func_def_433,type,
    find_int: ( int > $o ) > list_int > option_int ).

thf(func_def_434,type,
    find_nat: ( nat > $o ) > list_nat > option_nat ).

thf(func_def_435,type,
    find_num: ( num > $o ) > list_num > option_num ).

thf(func_def_436,type,
    find_P8199882355184865565at_nat: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > option4927543243414619207at_nat ).

thf(func_def_437,type,
    find_real: ( real > $o ) > list_real > option_real ).

thf(func_def_438,type,
    find_set_nat: ( set_nat > $o ) > list_set_nat > option_set_nat ).

thf(func_def_439,type,
    find_VEBT_VEBT: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > option_VEBT_VEBT ).

thf(func_def_440,type,
    fold_nat_nat: ( nat > nat > nat ) > list_nat > nat > nat ).

thf(func_def_441,type,
    last_nat: list_nat > nat ).

thf(func_def_442,type,
    linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).

thf(func_def_443,type,
    linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_444,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_445,type,
    cons_int: int > list_int > list_int ).

thf(func_def_446,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_447,type,
    nil_int: list_int ).

thf(func_def_448,type,
    nil_nat: list_nat ).

thf(func_def_449,type,
    hd_nat: list_nat > nat ).

thf(func_def_450,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_451,type,
    set_Co8062243466402858685e_term: list_C878401137130745250e_term > set_Co9149898834107579976e_term ).

thf(func_def_452,type,
    set_in5217446777445088012e_term: list_i8448526496819171953e_term > set_in3461395444621081367e_term ).

thf(func_def_453,type,
    set_Pr8342322266483756581e_term: list_P1316552470764441098e_term > set_Pr7604974323444597168e_term ).

thf(func_def_454,type,
    set_Pr16608062948090134e_term: list_P1743416141875011707e_term > set_Pr3642885161833720865e_term ).

thf(func_def_455,type,
    set_o2: list_o > set_o ).

thf(func_def_456,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_457,type,
    set_int2: list_int > set_int ).

thf(func_def_458,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_459,type,
    set_num2: list_num > set_num ).

thf(func_def_460,type,
    set_Pr2999063419360598313nteger: list_P5311841565141990158nteger > set_Pr8056137968301705908nteger ).

thf(func_def_461,type,
    set_Pr1633835384712236856nt_int: list_P8915022641806594461nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_462,type,
    set_Pr2135590979564877377nteger: list_P7828571989066258726nteger > set_Pr1281608226676607948nteger ).

thf(func_def_463,type,
    set_Pr4943052134776177454nt_int: list_P651320350408439699nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_464,type,
    set_Product_prod_o_o2: list_P4002435161011370285od_o_o > set_Product_prod_o_o ).

thf(func_def_465,type,
    set_Pr2828948584524939422_o_int: list_P3795440434834930179_o_int > set_Pr8834758594704517033_o_int ).

thf(func_def_466,type,
    set_Pr7006799604034136130_o_nat: list_P6285523579766656935_o_nat > set_Pr2101469702781467981_o_nat ).

thf(func_def_467,type,
    set_Pr2600826154070092190o_real: list_P5232166724548748803o_real > set_Pr6573716822653411497o_real ).

thf(func_def_468,type,
    set_Pr655345902815428824T_VEBT: list_P7495141550334521929T_VEBT > set_Pr7543698050874017315T_VEBT ).

thf(func_def_469,type,
    set_Pr920681315882439344nteger: list_P5578671422887162913nteger > set_Pr4811707699266497531nteger ).

thf(func_def_470,type,
    set_Pr2470121279949933262nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_471,type,
    set_Pr112895574167722958t_real: list_P6863124054624500543t_real > set_Pr3538720872664544793t_real ).

thf(func_def_472,type,
    set_Pr8714266321650254504T_VEBT: list_P7524865323317820941T_VEBT > set_Pr8044002425091019955T_VEBT ).

thf(func_def_473,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_474,type,
    set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_475,type,
    set_Pr5196769464307566348real_o: list_P3595434254542482545real_o > set_Pr4936984352647145239real_o ).

thf(func_def_476,type,
    set_Pr8219819362198175822al_int: list_P4344331454722006975al_int > set_Pr1019928272762051225al_int ).

thf(func_def_477,type,
    set_Pr3174298344852596722al_nat: list_P6834414599653733731al_nat > set_Pr3510011417693777981al_nat ).

thf(func_def_478,type,
    set_Pr5999470521830281550l_real: list_P8689742595348180415l_real > set_Pr6218003697084177305l_real ).

thf(func_def_479,type,
    set_Pr8897343066327330088T_VEBT: list_P877281246627933069T_VEBT > set_Pr6019664923565264691T_VEBT ).

thf(func_def_480,type,
    set_Pr9040384385603167362et_nat: list_P6254988961118846195et_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_481,type,
    set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_482,type,
    set_Pr7708085864119495200VEBT_o: list_P3126845725202233233VEBT_o > set_Pr3175402225741728619VEBT_o ).

thf(func_def_483,type,
    set_Pr2853735649769556538BT_int: list_P4547456442757143711BT_int > set_Pr5066593544530342725BT_int ).

thf(func_def_484,type,
    set_Pr7031586669278753246BT_nat: list_P7037539587688870467BT_nat > set_Pr7556676689462069481BT_nat ).

thf(func_def_485,type,
    set_Pr1087130671499945274T_real: list_P2623026923184700063T_real > set_Pr7765410600122031685T_real ).

thf(func_def_486,type,
    set_Pr9182192707038809660T_VEBT: list_P7413028617227757229T_VEBT > set_Pr6192946355708809607T_VEBT ).

thf(func_def_487,type,
    set_real2: list_real > set_real ).

thf(func_def_488,type,
    set_set_nat2: list_set_nat > set_set_nat ).

thf(func_def_489,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_490,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_491,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_492,type,
    list_u4743598893156345252e_term: list_C878401137130745250e_term > nat > ( code_integer > option6357759511663192854e_term ) > list_C878401137130745250e_term ).

thf(func_def_493,type,
    list_u8946639151299769843e_term: list_i8448526496819171953e_term > nat > ( int > option6357759511663192854e_term ) > list_i8448526496819171953e_term ).

thf(func_def_494,type,
    list_u877304756163299468e_term: list_P1316552470764441098e_term > nat > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > list_P1316552470764441098e_term ).

thf(func_def_495,type,
    list_u3533491785856317309e_term: list_P1743416141875011707e_term > nat > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > list_P1743416141875011707e_term ).

thf(func_def_496,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_497,type,
    list_update_int: list_int > nat > int > list_int ).

thf(func_def_498,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(func_def_499,type,
    list_u1133519416628930960nteger: list_P5311841565141990158nteger > nat > produc8763457246119570046nteger > list_P5311841565141990158nteger ).

thf(func_def_500,type,
    list_u4780935413889332127nt_int: list_P8915022641806594461nt_int > nat > produc7773217078559923341nt_int > list_P8915022641806594461nt_int ).

thf(func_def_501,type,
    list_u234853988314817064nteger: list_P7828571989066258726nteger > nat > produc1908205239877642774nteger > list_P7828571989066258726nteger ).

thf(func_def_502,type,
    list_u7736365598306452245nt_int: list_P651320350408439699nt_int > nat > produc2285326912895808259nt_int > list_P651320350408439699nt_int ).

thf(func_def_503,type,
    list_u2254550707601501961nteger: list_P5578671422887162913nteger > nat > produc8923325533196201883nteger > list_P5578671422887162913nteger ).

thf(func_def_504,type,
    list_u3002344382305578791nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int ).

thf(func_def_505,type,
    list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_506,type,
    list_u4696772448584712917at_nat: list_P5464809261938338413at_nat > nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).

thf(func_def_507,type,
    list_u6961636818849549845T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_508,type,
    list_update_real: list_real > nat > real > list_real ).

thf(func_def_509,type,
    list_update_set_nat: list_set_nat > nat > set_nat > list_set_nat ).

thf(func_def_510,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_511,type,
    listrel1_o: set_Product_prod_o_o > set_Pr6227168374412355847list_o ).

thf(func_def_512,type,
    listrel1_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_513,type,
    listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_514,type,
    listrel1_VEBT_VEBT: set_Pr6192946355708809607T_VEBT > set_Pr1916528119006554503T_VEBT ).

thf(func_def_515,type,
    listrel1p_int: ( int > int > $o ) > list_int > list_int > $o ).

thf(func_def_516,type,
    listrel1p_nat: ( nat > nat > $o ) > list_nat > list_nat > $o ).

thf(func_def_517,type,
    nth_o: list_o > nat > $o ).

thf(func_def_518,type,
    nth_int: list_int > nat > int ).

thf(func_def_519,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_520,type,
    nth_num: list_num > nat > num ).

thf(func_def_521,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_522,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_523,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_524,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_525,type,
    nth_Pr112076138515278198_nat_o: list_P7333126701944960589_nat_o > nat > product_prod_nat_o ).

thf(func_def_526,type,
    nth_Pr3440142176431000676at_int: list_P3521021558325789923at_int > nat > product_prod_nat_int ).

thf(func_def_527,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_528,type,
    nth_Pr744662078594809490T_VEBT: list_P5647936690300460905T_VEBT > nat > produc8025551001238799321T_VEBT ).

thf(func_def_529,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_530,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_531,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_532,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_533,type,
    nth_real: list_real > nat > real ).

thf(func_def_534,type,
    nth_set_nat: list_set_nat > nat > set_nat ).

thf(func_def_535,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_536,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_537,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_538,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_539,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_540,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_541,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_542,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_543,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_544,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_545,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_546,type,
    remdups_nat: list_nat > list_nat ).

thf(func_def_547,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_548,type,
    replicate_int: nat > int > list_int ).

thf(func_def_549,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_550,type,
    replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_551,type,
    replic2264142908078655527at_nat: nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).

thf(func_def_552,type,
    replicate_real: nat > real > list_real ).

thf(func_def_553,type,
    replicate_set_nat: nat > set_nat > list_set_nat ).

thf(func_def_554,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_555,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(func_def_556,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_557,type,
    take_nat: nat > list_nat > list_nat ).

thf(func_def_558,type,
    upt: nat > nat > list_nat ).

thf(func_def_559,type,
    upto: int > int > list_int ).

thf(func_def_560,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_561,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_562,type,
    zip_Co8729459035503499408nteger: list_C878401137130745250e_term > list_P5578671422887162913nteger > list_P5311841565141990158nteger ).

thf(func_def_563,type,
    zip_in8766932505889695135nt_int: list_i8448526496819171953e_term > list_P5707943133018811711nt_int > list_P8915022641806594461nt_int ).

thf(func_def_564,type,
    zip_Pr8292346330294042792nteger: list_P1316552470764441098e_term > list_P5578671422887162913nteger > list_P7828571989066258726nteger ).

thf(func_def_565,type,
    zip_Pr4168994715204986005nt_int: list_P1743416141875011707e_term > list_P5707943133018811711nt_int > list_P651320350408439699nt_int ).

thf(func_def_566,type,
    zip_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_567,type,
    zip_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_568,type,
    zip_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_569,type,
    zip_o_real: list_o > list_real > list_P5232166724548748803o_real ).

thf(func_def_570,type,
    zip_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_571,type,
    zip_int_int: list_int > list_int > list_P5707943133018811711nt_int ).

thf(func_def_572,type,
    zip_int_real: list_int > list_real > list_P6863124054624500543t_real ).

thf(func_def_573,type,
    zip_int_VEBT_VEBT: list_int > list_VEBT_VEBT > list_P7524865323317820941T_VEBT ).

thf(func_def_574,type,
    zip_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_575,type,
    zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_576,type,
    zip_nat_VEBT_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_577,type,
    zip_Pr4664179122662387191at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > list_P8469869581646625389at_nat ).

thf(func_def_578,type,
    zip_real_o: list_real > list_o > list_P3595434254542482545real_o ).

thf(func_def_579,type,
    zip_real_int: list_real > list_int > list_P4344331454722006975al_int ).

thf(func_def_580,type,
    zip_real_nat: list_real > list_nat > list_P6834414599653733731al_nat ).

thf(func_def_581,type,
    zip_real_real: list_real > list_real > list_P8689742595348180415l_real ).

thf(func_def_582,type,
    zip_real_VEBT_VEBT: list_real > list_VEBT_VEBT > list_P877281246627933069T_VEBT ).

thf(func_def_583,type,
    zip_set_nat_set_nat: list_set_nat > list_set_nat > list_P6254988961118846195et_nat ).

thf(func_def_584,type,
    zip_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_585,type,
    zip_VEBT_VEBT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_586,type,
    zip_VEBT_VEBT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_587,type,
    zip_VEBT_VEBT_real: list_VEBT_VEBT > list_real > list_P2623026923184700063T_real ).

thf(func_def_588,type,
    zip_VE537291747668921783T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_589,type,
    suc: nat > nat ).

thf(func_def_590,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_591,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_592,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_593,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_594,type,
    pred: nat > nat ).

thf(func_def_595,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_596,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_597,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_598,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_599,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_600,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_601,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_602,type,
    semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).

thf(func_def_603,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_604,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_605,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(func_def_606,type,
    semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).

thf(func_def_607,type,
    size_size_list_o: list_o > nat ).

thf(func_def_608,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_609,type,
    size_size_list_int: list_int > nat ).

thf(func_def_610,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_611,type,
    size_size_list_num: list_num > nat ).

thf(func_def_612,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(func_def_613,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(func_def_614,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(func_def_615,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(func_def_616,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(func_def_617,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

thf(func_def_618,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_619,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_620,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(func_def_621,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_622,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_623,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_624,type,
    size_size_list_real: list_real > nat ).

thf(func_def_625,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

thf(func_def_626,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_627,type,
    size_size_num: num > nat ).

thf(func_def_628,type,
    size_size_option_nat: option_nat > nat ).

thf(func_def_629,type,
    size_size_option_num: option_num > nat ).

thf(func_def_630,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_631,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_632,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_633,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_634,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_635,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_636,type,
    root: nat > real > real ).

thf(func_def_637,type,
    sqrt: real > real ).

thf(func_def_638,type,
    bitM: num > num ).

thf(func_def_639,type,
    inc: num > num ).

thf(func_def_640,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_641,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_642,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_643,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_644,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_645,type,
    bit0: num > num ).

thf(func_def_646,type,
    bit1: num > num ).

thf(func_def_647,type,
    one: num ).

thf(func_def_648,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_649,type,
    size_num: num > nat ).

thf(func_def_650,type,
    num_of_nat: nat > num ).

thf(func_def_651,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_652,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_653,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_654,type,
    numeral_numeral_int: num > int ).

thf(func_def_655,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_656,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_657,type,
    numeral_numeral_real: num > real ).

thf(func_def_658,type,
    pred_numeral: num > nat ).

thf(func_def_659,type,
    none_int: option_int ).

thf(func_def_660,type,
    none_nat: option_nat ).

thf(func_def_661,type,
    none_num: option_num ).

thf(func_def_662,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_663,type,
    none_real: option_real ).

thf(func_def_664,type,
    none_set_nat: option_set_nat ).

thf(func_def_665,type,
    none_VEBT_VEBT: option_VEBT_VEBT ).

thf(func_def_666,type,
    some_o: $o > option_o ).

thf(func_def_667,type,
    some_int: int > option_int ).

thf(func_def_668,type,
    some_nat: nat > option_nat ).

thf(func_def_669,type,
    some_num: num > option_num ).

thf(func_def_670,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_671,type,
    some_VEBT_VEBT: vEBT_VEBT > option_VEBT_VEBT ).

thf(func_def_672,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_673,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_674,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_675,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_676,type,
    size_option_nat: ( nat > nat ) > option_nat > nat ).

thf(func_def_677,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_678,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_679,type,
    the_nat2: option_nat > nat ).

thf(func_def_680,type,
    the_num: option_num > num ).

thf(func_def_681,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_682,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_683,type,
    bot_bo5358457235160185703eger_o: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_684,type,
    bot_bo1403522918969695512_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_685,type,
    bot_bo3000040243691356879eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_686,type,
    bot_bo8662317086119403298_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_687,type,
    bot_bot_int_int_o: int > int > $o ).

thf(func_def_688,type,
    bot_bot_int_o: int > $o ).

thf(func_def_689,type,
    bot_bot_list_nat_o: list_nat > $o ).

thf(func_def_690,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(func_def_691,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_692,type,
    bot_bo482883023278783056_nat_o: product_prod_nat_nat > $o ).

thf(func_def_693,type,
    bot_bot_real_o: real > $o ).

thf(func_def_694,type,
    bot_bot_set_nat_o: set_nat > $o ).

thf(func_def_695,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_696,type,
    bot_bot_filter_nat: filter_nat ).

thf(func_def_697,type,
    bot_bot_nat: nat ).

thf(func_def_698,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_699,type,
    bot_bot_set_int: set_int ).

thf(func_def_700,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(func_def_701,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_702,type,
    bot_bot_set_num: set_num ).

thf(func_def_703,type,
    bot_bo3145834390647256904nteger: set_Pr8056137968301705908nteger ).

thf(func_def_704,type,
    bot_bo4508923176915781079nt_int: set_Pr1872883991513573699nt_int ).

thf(func_def_705,type,
    bot_bo5443222936135328352nteger: set_Pr1281608226676607948nteger ).

thf(func_def_706,type,
    bot_bo572930865798478029nt_int: set_Pr9222295170931077689nt_int ).

thf(func_def_707,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_708,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_709,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_710,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_711,type,
    bot_bot_set_real: set_real ).

thf(func_def_712,type,
    bot_bot_set_set_int: set_set_int ).

thf(func_def_713,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_714,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_715,type,
    ord_Least_nat: ( nat > $o ) > nat ).

thf(func_def_716,type,
    ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_717,type,
    ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_718,type,
    ord_le549003669493604880_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_719,type,
    ord_less_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_720,type,
    ord_less_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_721,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_722,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_723,type,
    ord_less_int: int > int > $o ).

thf(func_def_724,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_725,type,
    ord_less_num: num > num > $o ).

thf(func_def_726,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_727,type,
    ord_less_real: real > real > $o ).

thf(func_def_728,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_729,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_730,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_731,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_732,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_733,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_734,type,
    ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_735,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_736,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_737,type,
    ord_less_set_set_int: set_set_int > set_set_int > $o ).

thf(func_def_738,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_739,type,
    ord_le3636971675376928563eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).

thf(func_def_740,type,
    ord_le2124322318746777828_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).

thf(func_def_741,type,
    ord_le4340812435750786203eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).

thf(func_def_742,type,
    ord_le5643404153117327598_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > $o ).

thf(func_def_743,type,
    ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_744,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_745,type,
    ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_746,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_747,type,
    ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_748,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_749,type,
    ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_750,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_751,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_752,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_753,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_754,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_755,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_756,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_757,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_758,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_759,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_760,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_761,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_762,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_763,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_764,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_765,type,
    ord_le3216752416896350996nteger: set_Pr8056137968301705908nteger > set_Pr8056137968301705908nteger > $o ).

thf(func_def_766,type,
    ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_767,type,
    ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_768,type,
    ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_769,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_770,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_771,type,
    ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_772,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_773,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_774,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(func_def_775,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_776,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_777,type,
    ord_max_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_778,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_779,type,
    ord_max_int: int > int > int ).

thf(func_def_780,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_781,type,
    ord_max_num: num > num > num ).

thf(func_def_782,type,
    ord_max_rat: rat > rat > rat ).

thf(func_def_783,type,
    ord_max_real: real > real > real ).

thf(func_def_784,type,
    ord_max_set_int: set_int > set_int > set_int ).

thf(func_def_785,type,
    ord_max_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_786,type,
    ord_ma7524802468073614006at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_787,type,
    ord_max_set_real: set_real > set_real > set_real ).

thf(func_def_788,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_789,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_790,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_791,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_792,type,
    order_7092887310737990675l_real: ( real > real ) > $o ).

thf(func_def_793,type,
    ordering_top_nat: ( nat > nat > $o ) > ( nat > nat > $o ) > nat > $o ).

thf(func_def_794,type,
    top_top_set_int: set_int ).

thf(func_def_795,type,
    top_top_set_nat: set_nat ).

thf(func_def_796,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_797,type,
    top_top_set_real: set_real ).

thf(func_def_798,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_799,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_800,type,
    power_power_int: int > nat > int ).

thf(func_def_801,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_802,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_803,type,
    power_power_real: real > nat > real ).

thf(func_def_804,type,
    produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).

thf(func_def_805,type,
    produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).

thf(func_def_806,type,
    produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).

thf(func_def_807,type,
    produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).

thf(func_def_808,type,
    produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).

thf(func_def_809,type,
    produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).

thf(func_def_810,type,
    produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).

thf(func_def_811,type,
    produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).

thf(func_def_812,type,
    produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).

thf(func_def_813,type,
    produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).

thf(func_def_814,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_815,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_816,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_817,type,
    product_Pair_o_real: $o > real > product_prod_o_real ).

thf(func_def_818,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_819,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_820,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_821,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_822,type,
    produc801115645435158769t_real: int > real > produc679980390762269497t_real ).

thf(func_def_823,type,
    produc3329399203697025711T_VEBT: int > vEBT_VEBT > produc1531783533982839933T_VEBT ).

thf(func_def_824,type,
    produc8435520187683070743list_o: list_o > list_o > produc7102631898165422375list_o ).

thf(func_def_825,type,
    produc364263696895485585st_int: list_int > list_int > produc1186641810826059865st_int ).

thf(func_def_826,type,
    produc2694037385005941721st_nat: list_nat > list_nat > produc1828647624359046049st_nat ).

thf(func_def_827,type,
    produc3897820843166775703T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > produc9211091688327510695T_VEBT ).

thf(func_def_828,type,
    product_Pair_nat_o: nat > $o > product_prod_nat_o ).

thf(func_def_829,type,
    product_Pair_nat_int: nat > int > product_prod_nat_int ).

thf(func_def_830,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_831,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_832,type,
    produc599794634098209291T_VEBT: nat > vEBT_VEBT > produc8025551001238799321T_VEBT ).

thf(func_def_833,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_834,type,
    produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).

thf(func_def_835,type,
    produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).

thf(func_def_836,type,
    produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).

thf(func_def_837,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_838,type,
    product_Pair_real_o: real > $o > product_prod_real_o ).

thf(func_def_839,type,
    produc3179012173361985393al_int: real > int > produc8786904178792722361al_int ).

thf(func_def_840,type,
    produc3181502643871035669al_nat: real > nat > produc3741383161447143261al_nat ).

thf(func_def_841,type,
    produc4511245868158468465l_real: real > real > produc2422161461964618553l_real ).

thf(func_def_842,type,
    produc6931449550656315951T_VEBT: real > vEBT_VEBT > produc3757001726724277373T_VEBT ).

thf(func_def_843,type,
    produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).

thf(func_def_844,type,
    produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).

thf(func_def_845,type,
    produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).

thf(func_def_846,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_847,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_848,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_849,type,
    produc8117437818029410057T_real: vEBT_VEBT > real > produc5170161368751668367T_real ).

thf(func_def_850,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_851,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_852,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_853,type,
    produc8678311845419106900er_nat: ( code_integer > nat ) > ( code_integer > nat ) > produc8923325533196201883nteger > product_prod_nat_nat ).

thf(func_def_854,type,
    produc127349428274296955eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > $o ).

thf(func_def_855,type,
    produc3906647086178084059nteger: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ) > produc8763457246119570046nteger > produc8763457246119570046nteger ).

thf(func_def_856,type,
    produc8604463032469472703et_int: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8763457246119570046nteger > set_int ).

thf(func_def_857,type,
    produc3558942015123893603et_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > set_nat ).

thf(func_def_858,type,
    produc815715089573277247t_real: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8763457246119570046nteger > set_real ).

thf(func_def_859,type,
    produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_860,type,
    produc5122537100556696953nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_861,type,
    produc8289552606927098482et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc7773217078559923341nt_int > set_nat ).

thf(func_def_862,type,
    produc8709739885379107790t_real: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > produc7773217078559923341nt_int > set_real ).

thf(func_def_863,type,
    produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).

thf(func_def_864,type,
    produc6512950862096126219nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_865,type,
    produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).

thf(func_def_866,type,
    produc8492565224438309093nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_867,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_868,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_869,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_870,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_871,type,
    produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).

thf(func_def_872,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_873,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_874,type,
    produc73460835934605544et_int: ( int > int > set_int ) > product_prod_int_int > set_int ).

thf(func_def_875,type,
    produc4251311855443802252et_nat: ( int > int > set_nat ) > product_prod_int_int > set_nat ).

thf(func_def_876,type,
    produc1656060378719767003at_nat: ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_int_int > set_Pr1261947904930325089at_nat ).

thf(func_def_877,type,
    produc6452406959799940328t_real: ( int > int > set_real ) > product_prod_int_int > set_real ).

thf(func_def_878,type,
    produc5233655623923918146et_nat: ( int > int > set_set_nat ) > product_prod_int_int > set_set_nat ).

thf(func_def_879,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_880,type,
    produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_881,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_882,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(func_def_883,type,
    produc2676513652042109336d_enat: ( nat > nat > extended_enat ) > product_prod_nat_nat > extended_enat ).

thf(func_def_884,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_885,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_886,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_887,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(func_def_888,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(func_def_889,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_890,type,
    produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).

thf(func_def_891,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_892,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_893,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_894,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_895,type,
    abs_Rat: product_prod_int_int > rat ).

thf(func_def_896,type,
    fract: int > int > rat ).

thf(func_def_897,type,
    frct: product_prod_int_int > rat ).

thf(func_def_898,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_899,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_900,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_901,type,
    of_int: int > rat ).

thf(func_def_902,type,
    pcr_rat: product_prod_int_int > rat > $o ).

thf(func_def_903,type,
    positive: rat > $o ).

thf(func_def_904,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_905,type,
    ratrel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_906,type,
    real2: ( nat > rat ) > real ).

thf(func_def_907,type,
    cauchy: ( nat > rat ) > $o ).

thf(func_def_908,type,
    pcr_real: ( nat > rat ) > real > $o ).

thf(func_def_909,type,
    positive2: real > $o ).

thf(func_def_910,type,
    realrel: ( nat > rat ) > ( nat > rat ) > $o ).

thf(func_def_911,type,
    rep_real: real > nat > rat ).

thf(func_def_912,type,
    vanishes: ( nat > rat ) > $o ).

thf(func_def_913,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_914,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_915,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_916,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_917,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_918,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_919,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(func_def_920,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_921,type,
    algebr932160517623751201me_int: int > int > $o ).

thf(func_def_922,type,
    algebr934650988132801477me_nat: nat > nat > $o ).

thf(func_def_923,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_924,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_925,type,
    divide_divide_int: int > int > int ).

thf(func_def_926,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_927,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_928,type,
    divide_divide_real: real > real > real ).

thf(func_def_929,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_930,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_931,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_932,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_933,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_934,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_935,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_936,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_937,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_938,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_939,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_940,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_941,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_942,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_943,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_944,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_945,type,
    suminf_int: ( nat > int ) > int ).

thf(func_def_946,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(func_def_947,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_948,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_949,type,
    summable_int: ( nat > int ) > $o ).

thf(func_def_950,type,
    summable_nat: ( nat > nat ) > $o ).

thf(func_def_951,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_952,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(func_def_953,type,
    sums_int: ( nat > int ) > int > $o ).

thf(func_def_954,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(func_def_955,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_956,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_957,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_958,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_959,type,
    collect_list_o: ( list_o > $o ) > set_list_o ).

thf(func_def_960,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(func_def_961,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(func_def_962,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_963,type,
    collec3343600615725829874at_nat: ( list_P6011104703257516679at_nat > $o ) > set_li5450038453877631591at_nat ).

thf(func_def_964,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(func_def_965,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_966,type,
    collect_num: ( num > $o ) > set_num ).

thf(func_def_967,type,
    collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).

thf(func_def_968,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_969,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_970,type,
    collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).

thf(func_def_971,type,
    collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_972,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(func_def_973,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_974,type,
    collect_set_complex: ( set_complex > $o ) > set_set_complex ).

thf(func_def_975,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_976,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_977,type,
    collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).

thf(func_def_978,type,
    pow_nat: set_nat > set_set_nat ).

thf(func_def_979,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_980,type,
    image_int_nat: ( int > nat ) > set_int > set_nat ).

thf(func_def_981,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_982,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_983,type,
    image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).

thf(func_def_984,type,
    image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).

thf(func_def_985,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_986,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_987,type,
    insert_int: int > set_int > set_int ).

thf(func_def_988,type,
    insert_list_nat: list_nat > set_list_nat > set_list_nat ).

thf(func_def_989,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_990,type,
    insert_num: num > set_num > set_num ).

thf(func_def_991,type,
    insert5033312907999012233nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_992,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_993,type,
    insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_994,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_995,type,
    insert_real: real > set_real > set_real ).

thf(func_def_996,type,
    insert_set_nat: set_nat > set_set_nat > set_set_nat ).

thf(func_def_997,type,
    insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_998,type,
    is_singleton_int: set_int > $o ).

thf(func_def_999,type,
    is_singleton_nat: set_nat > $o ).

thf(func_def_1000,type,
    is_sin2850979758926227957at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1001,type,
    is_sin2937591304547752795at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1002,type,
    is_singleton_real: set_real > $o ).

thf(func_def_1003,type,
    is_singleton_set_nat: set_set_nat > $o ).

thf(func_def_1004,type,
    the_elem_int: set_int > int ).

thf(func_def_1005,type,
    the_elem_nat: set_nat > nat ).

thf(func_def_1006,type,
    the_el8326832613380209454nt_int: set_Pr958786334691620121nt_int > product_prod_int_int ).

thf(func_def_1007,type,
    the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1008,type,
    the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_1009,type,
    the_elem_real: set_real > real ).

thf(func_def_1010,type,
    vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_1011,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_1012,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_1013,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_1014,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_1015,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_1016,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_1017,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_1018,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_1019,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_1020,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_1021,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_1022,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_1023,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_1024,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_1025,type,
    set_or1222409239386451017an_num: num > num > set_num ).

thf(func_def_1026,type,
    set_or4029947393144176647an_rat: rat > rat > set_rat ).

thf(func_def_1027,type,
    set_or66887138388493659n_real: real > real > set_real ).

thf(func_def_1028,type,
    set_or8585797421378605585et_int: set_int > set_int > set_set_int ).

thf(func_def_1029,type,
    set_or3540276404033026485et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_1030,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_1031,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_1032,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_1033,type,
    set_ord_atMost_num: num > set_num ).

thf(func_def_1034,type,
    set_ord_atMost_rat: rat > set_rat ).

thf(func_def_1035,type,
    set_ord_atMost_real: real > set_real ).

thf(func_def_1036,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

thf(func_def_1037,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

thf(func_def_1038,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_1039,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_1040,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_1041,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_1042,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_1043,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_1044,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_1045,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_1046,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_1047,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_1048,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_1049,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_1050,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

thf(func_def_1051,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_1052,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_1053,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_1054,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_1055,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_1056,type,
    topolo6517432010174082258omplex: ( nat > complex ) > $o ).

thf(func_def_1057,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_1058,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

thf(func_def_1059,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

thf(func_def_1060,type,
    arccos: real > real ).

thf(func_def_1061,type,
    arcosh_real: real > real ).

thf(func_def_1062,type,
    arcsin: real > real ).

thf(func_def_1063,type,
    arctan: real > real ).

thf(func_def_1064,type,
    arsinh_real: real > real ).

thf(func_def_1065,type,
    artanh_real: real > real ).

thf(func_def_1066,type,
    cos_complex: complex > complex ).

thf(func_def_1067,type,
    cos_real: real > real ).

thf(func_def_1068,type,
    cos_coeff: nat > real ).

thf(func_def_1069,type,
    cosh_complex: complex > complex ).

thf(func_def_1070,type,
    cosh_real: real > real ).

thf(func_def_1071,type,
    cot_complex: complex > complex ).

thf(func_def_1072,type,
    cot_real: real > real ).

thf(func_def_1073,type,
    diffs_complex: ( nat > complex ) > nat > complex ).

thf(func_def_1074,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(func_def_1075,type,
    exp_complex: complex > complex ).

thf(func_def_1076,type,
    exp_real: real > real ).

thf(func_def_1077,type,
    ln_ln_real: real > real ).

thf(func_def_1078,type,
    log: real > real > real ).

thf(func_def_1079,type,
    pi: real ).

thf(func_def_1080,type,
    powr_real: real > real > real ).

thf(func_def_1081,type,
    sin_complex: complex > complex ).

thf(func_def_1082,type,
    sin_real: real > real ).

thf(func_def_1083,type,
    sin_coeff: nat > real ).

thf(func_def_1084,type,
    sinh_complex: complex > complex ).

thf(func_def_1085,type,
    sinh_real: real > real ).

thf(func_def_1086,type,
    tan_complex: complex > complex ).

thf(func_def_1087,type,
    tan_real: real > real ).

thf(func_def_1088,type,
    tanh_complex: complex > complex ).

thf(func_def_1089,type,
    tanh_real: real > real ).

thf(func_def_1090,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1091,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1092,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_1093,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1094,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_1095,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_1096,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_1097,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_1098,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_1099,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_1100,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1101,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_1102,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1103,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_1104,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1105,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_1106,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1107,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_1108,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_1109,type,
    vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1110,type,
    vEBT_vebt_delete_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1111,type,
    vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1112,type,
    vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1113,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_1114,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_1115,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1116,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1117,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_1118,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1119,type,
    vEBT_VEBT_add: option_nat > option_nat > option_nat ).

thf(func_def_1120,type,
    vEBT_VEBT_greater: option_nat > option_nat > $o ).

thf(func_def_1121,type,
    vEBT_VEBT_less: option_nat > option_nat > $o ).

thf(func_def_1122,type,
    vEBT_VEBT_lesseq: option_nat > option_nat > $o ).

thf(func_def_1123,type,
    vEBT_VEBT_max_in_set: set_nat > nat > $o ).

thf(func_def_1124,type,
    vEBT_VEBT_min_in_set: set_nat > nat > $o ).

thf(func_def_1125,type,
    vEBT_VEBT_mul: option_nat > option_nat > option_nat ).

thf(func_def_1126,type,
    vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).

thf(func_def_1127,type,
    vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(func_def_1128,type,
    vEBT_V1502963449132264192at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat ).

thf(func_def_1129,type,
    vEBT_VEBT_power: option_nat > option_nat > option_nat ).

thf(func_def_1130,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

thf(func_def_1131,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1132,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(func_def_1133,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1134,type,
    vEBT_is_pred_in_set: set_nat > nat > nat > $o ).

thf(func_def_1135,type,
    vEBT_vebt_pred: vEBT_VEBT > nat > option_nat ).

thf(func_def_1136,type,
    vEBT_vebt_pred_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1137,type,
    vEBT_is_succ_in_set: set_nat > nat > nat > $o ).

thf(func_def_1138,type,
    vEBT_vebt_succ: vEBT_VEBT > nat > option_nat ).

thf(func_def_1139,type,
    vEBT_vebt_succ_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1140,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_1141,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_1142,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1143,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_1144,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_1145,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(func_def_1146,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1147,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1148,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1149,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1150,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_1151,type,
    member1535805642427569193e_term: ( code_integer > option6357759511663192854e_term ) > set_Co9149898834107579976e_term > $o ).

thf(func_def_1152,type,
    member8845023287901829240e_term: ( int > option6357759511663192854e_term ) > set_in3461395444621081367e_term > $o ).

thf(func_def_1153,type,
    member4242434998011752849e_term: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr7604974323444597168e_term > $o ).

thf(func_def_1154,type,
    member3222579708246209666e_term: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr3642885161833720865e_term > $o ).

thf(func_def_1155,type,
    member_o: $o > set_o > $o ).

thf(func_def_1156,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_1157,type,
    member_int: int > set_int > $o ).

thf(func_def_1158,type,
    member_list_o: list_o > set_list_o > $o ).

thf(func_def_1159,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_1160,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_1161,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_1162,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_1163,type,
    member_num: num > set_num > $o ).

thf(func_def_1164,type,
    member3068662437193594005nteger: produc8763457246119570046nteger > set_Pr8056137968301705908nteger > $o ).

thf(func_def_1165,type,
    member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_1166,type,
    member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_1167,type,
    member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_1168,type,
    member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_1169,type,
    member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).

thf(func_def_1170,type,
    member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).

thf(func_def_1171,type,
    member7400031367953476362o_real: product_prod_o_real > set_Pr6573716822653411497o_real > $o ).

thf(func_def_1172,type,
    member5477980866518848620T_VEBT: produc2504756804600209347T_VEBT > set_Pr7543698050874017315T_VEBT > $o ).

thf(func_def_1173,type,
    member157494554546826820nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > $o ).

thf(func_def_1174,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_1175,type,
    member2744130022092475746t_real: produc679980390762269497t_real > set_Pr3538720872664544793t_real > $o ).

thf(func_def_1176,type,
    member2056185340421749780T_VEBT: produc1531783533982839933T_VEBT > set_Pr8044002425091019955T_VEBT > $o ).

thf(func_def_1177,type,
    member4159035015898711888list_o: produc7102631898165422375list_o > set_Pr6227168374412355847list_o > $o ).

thf(func_def_1178,type,
    member6698963635872716290st_int: produc1186641810826059865st_int > set_Pr765067013931698361st_int > $o ).

thf(func_def_1179,type,
    member7340969449405702474st_nat: produc1828647624359046049st_nat > set_Pr3451248702717554689st_nat > $o ).

thf(func_def_1180,type,
    member4439316823752958928T_VEBT: produc9211091688327510695T_VEBT > set_Pr1916528119006554503T_VEBT > $o ).

thf(func_def_1181,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1182,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_1183,type,
    member772602641336174712real_o: product_prod_real_o > set_Pr4936984352647145239real_o > $o ).

thf(func_def_1184,type,
    member1627681773268152802al_int: produc8786904178792722361al_int > set_Pr1019928272762051225al_int > $o ).

thf(func_def_1185,type,
    member5805532792777349510al_nat: produc3741383161447143261al_nat > set_Pr3510011417693777981al_nat > $o ).

thf(func_def_1186,type,
    member7849222048561428706l_real: produc2422161461964618553l_real > set_Pr6218003697084177305l_real > $o ).

thf(func_def_1187,type,
    member7262085504369356948T_VEBT: produc3757001726724277373T_VEBT > set_Pr6019664923565264691T_VEBT > $o ).

thf(func_def_1188,type,
    member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).

thf(func_def_1189,type,
    member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1190,type,
    member3307348790968139188VEBT_o: produc334124729049499915VEBT_o > set_Pr3175402225741728619VEBT_o > $o ).

thf(func_def_1191,type,
    member5419026705395827622BT_int: produc4894624898956917775BT_int > set_Pr5066593544530342725BT_int > $o ).

thf(func_def_1192,type,
    member373505688050248522BT_nat: produc9072475918466114483BT_nat > set_Pr7556676689462069481BT_nat > $o ).

thf(func_def_1193,type,
    member8675245146396747942T_real: produc5170161368751668367T_real > set_Pr7765410600122031685T_real > $o ).

thf(func_def_1194,type,
    member568628332442017744T_VEBT: produc8243902056947475879T_VEBT > set_Pr6192946355708809607T_VEBT > $o ).

thf(func_def_1195,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_1196,type,
    member_real: real > set_real > $o ).

thf(func_def_1197,type,
    member_set_int: set_int > set_set_int > $o ).

thf(func_def_1198,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_1199,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_1200,type,
    deg: nat ).

thf(func_def_1201,type,
    m: nat ).

thf(func_def_1202,type,
    ma: nat ).

thf(func_def_1203,type,
    maxi: nat ).

thf(func_def_1204,type,
    mi: nat ).

thf(func_def_1205,type,
    na: nat ).

thf(func_def_1206,type,
    summary: vEBT_VEBT ).

thf(func_def_1207,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_1208,type,
    xa: nat ).

thf(func_def_1209,type,
    ya: nat ).

thf(func_def_1213,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_1214,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_1215,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_1216,type,
    vAND: $o > $o > $o ).

thf(func_def_1217,type,
    vNOT: $o > $o ).

thf(func_def_1218,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_1219,type,
    vOR: $o > $o > $o ).

thf(func_def_1220,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_1221,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_1222,type,
    vIMP: $o > $o > $o ).

thf(func_def_1223,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1224,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1225,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_1226,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_1227,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_1228,type,
    sP0: nat > nat > nat > $o ).

thf(func_def_1229,type,
    sP1: rat > rat > rat > $o ).

thf(func_def_1230,type,
    sP2: int > ( int > $o ) > int > $o ).

thf(func_def_1231,type,
    sP3: vEBT_VEBT > nat > $o ).

thf(func_def_1232,type,
    sP4: nat > vEBT_VEBT > $o ).

thf(func_def_1233,type,
    sP5: nat > vEBT_VEBT > $o ).

thf(func_def_1234,type,
    sP6: int > int > int > $o ).

thf(func_def_1235,type,
    sP7: nat > nat > list_VEBT_VEBT > nat > nat > $o ).

thf(func_def_1236,type,
    sP8: nat > nat > list_VEBT_VEBT > nat > nat > $o ).

thf(func_def_1237,type,
    sP9: num > num > num > $o ).

thf(func_def_1238,type,
    sP10: ( int > $o ) > int > int > $o ).

thf(func_def_1239,type,
    sK11: ( rat > num ) > rat ).

thf(func_def_1240,type,
    sK12: ( rat > num ) > rat ).

thf(func_def_1241,type,
    sK13: int > int ).

thf(func_def_1242,type,
    sK14: real > real ).

thf(func_def_1243,type,
    sK15: ( real > int ) > real ).

thf(func_def_1244,type,
    sK16: ( real > int ) > real ).

thf(func_def_1245,type,
    sK17: nat > ( nat > $o ) > nat ).

thf(func_def_1246,type,
    sK18: nat > ( nat > $o ) > nat ).

thf(func_def_1247,type,
    sK19: int > int ).

thf(func_def_1248,type,
    sK20: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1249,type,
    sK21: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1250,type,
    sK22: vEBT_VEBT > nat ).

thf(func_def_1251,type,
    sK23: ( num > int ) > num ).

thf(func_def_1252,type,
    sK24: ( num > int ) > num ).

thf(func_def_1253,type,
    sK25: real > real > real ).

thf(func_def_1254,type,
    sK26: num > num ).

thf(func_def_1255,type,
    sK27: ( nat > nat > $o ) > nat ).

thf(func_def_1256,type,
    sK28: ( nat > nat > $o ) > nat ).

thf(func_def_1257,type,
    sK29: ( nat > nat > $o ) > nat ).

thf(func_def_1258,type,
    sK30: ( nat > nat > $o ) > nat ).

thf(func_def_1259,type,
    sK31: ( nat > nat > $o ) > nat ).

thf(func_def_1260,type,
    sK32: ( rat > rat ) > rat ).

thf(func_def_1261,type,
    sK33: ( rat > rat ) > rat ).

thf(func_def_1262,type,
    sK34: ( num > real ) > num ).

thf(func_def_1263,type,
    sK35: ( num > real ) > num ).

thf(func_def_1264,type,
    sK36: set_real > ( set_real > $o ) > set_real ).

thf(func_def_1265,type,
    sK37: set_real > ( set_real > $o ) > real ).

thf(func_def_1266,type,
    sK38: vEBT_VEBT > nat > nat ).

thf(func_def_1267,type,
    sK39: real > real > nat ).

thf(func_def_1268,type,
    sK40: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_1269,type,
    sK41: vEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1270,type,
    sK42: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1271,type,
    sK43: ( num > num ) > num ).

thf(func_def_1272,type,
    sK44: ( num > num ) > num ).

thf(func_def_1273,type,
    sK45: ( num > nat ) > num ).

thf(func_def_1274,type,
    sK46: ( num > nat ) > num ).

thf(func_def_1275,type,
    sK47: real > real > real > real ).

thf(func_def_1276,type,
    sK48: option_nat > nat ).

thf(func_def_1277,type,
    sK49: nat > ( nat > $o ) > nat ).

thf(func_def_1278,type,
    sK50: nat > nat > nat ).

thf(func_def_1279,type,
    sK51: nat > nat ).

thf(func_def_1280,type,
    sK52: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1281,type,
    sK53: list_VEBT_VEBT > nat ).

thf(func_def_1282,type,
    sK54: vEBT_VEBT > nat ).

thf(func_def_1283,type,
    sK55: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1284,type,
    sK56: ( nat > $o ) > nat ).

thf(func_def_1285,type,
    sK57: nat > nat ).

thf(func_def_1286,type,
    sK58: int > int ).

thf(func_def_1287,type,
    sK59: int > int ).

thf(func_def_1288,type,
    sK60: ( rat > int ) > rat ).

thf(func_def_1289,type,
    sK61: ( rat > int ) > rat ).

thf(func_def_1290,type,
    sK62: rat > rat ).

thf(func_def_1291,type,
    sK63: real > real ).

thf(func_def_1292,type,
    sK64: real > real > real ).

thf(func_def_1293,type,
    sK65: ( num > rat ) > num ).

thf(func_def_1294,type,
    sK66: ( num > rat ) > num ).

thf(func_def_1295,type,
    sK67: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1296,type,
    sK68: complex > nat > ( nat > complex ) > complex ).

thf(func_def_1297,type,
    sK69: nat > ( nat > complex ) > nat ).

thf(func_def_1298,type,
    sK70: vEBT_VEBT > $o ).

thf(func_def_1299,type,
    sK71: vEBT_VEBT > $o ).

thf(func_def_1300,type,
    sK72: vEBT_VEBT > nat ).

thf(func_def_1301,type,
    sK73: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1302,type,
    sK74: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1303,type,
    sK75: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1304,type,
    sK76: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1305,type,
    sK77: vEBT_VEBT > nat ).

thf(func_def_1306,type,
    sK78: vEBT_VEBT > nat ).

thf(func_def_1307,type,
    sK79: vEBT_VEBT > nat ).

thf(func_def_1308,type,
    sK80: nat > nat ).

thf(func_def_1309,type,
    sK81: ( set_nat > $o ) > nat ).

thf(func_def_1310,type,
    sK82: ( set_nat > $o ) > set_nat ).

thf(func_def_1311,type,
    sK83: set_int > int > set_int > int > set_int ).

thf(func_def_1312,type,
    sK84: ( nat > real ) > nat ).

thf(func_def_1313,type,
    sK85: ( nat > real ) > nat ).

thf(func_def_1314,type,
    sK86: ( set_real > $o ) > set_real > set_real ).

thf(func_def_1315,type,
    sK87: ( set_real > $o ) > set_real > set_real ).

thf(func_def_1316,type,
    sK88: ( rat > num ) > rat ).

thf(func_def_1317,type,
    sK89: ( rat > num ) > rat ).

thf(func_def_1318,type,
    sK90: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1319,type,
    sK91: ( num > real ) > num ).

thf(func_def_1320,type,
    sK92: ( num > real ) > num ).

thf(func_def_1321,type,
    sK93: int > set_int > set_int ).

thf(func_def_1322,type,
    sK94: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1323,type,
    sK95: ( rat > num ) > rat ).

thf(func_def_1324,type,
    sK96: ( rat > num ) > rat ).

thf(func_def_1325,type,
    sK97: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1326,type,
    sK98: rat > rat ).

thf(func_def_1327,type,
    sK99: rat > rat ).

thf(func_def_1328,type,
    sK100: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1329,type,
    sK101: ( int > $o ) > int ).

thf(func_def_1330,type,
    sK102: nat > ( nat > real ) > ( nat > real ) > real ).

thf(func_def_1331,type,
    sK103: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1332,type,
    sK104: int > int ).

thf(func_def_1333,type,
    sK105: real > real ).

thf(func_def_1334,type,
    sK106: nat > ( nat > nat ) > nat ).

thf(func_def_1335,type,
    sK107: nat > ( nat > nat ) > nat ).

thf(func_def_1336,type,
    sK108: ( nat > nat ) > nat > nat ).

thf(func_def_1337,type,
    sK109: ( nat > nat ) > nat > nat ).

thf(func_def_1338,type,
    sK110: real > real ).

thf(func_def_1339,type,
    sK111: set_nat > nat ).

thf(func_def_1340,type,
    sK112: nat > set_nat > nat ).

thf(func_def_1341,type,
    sK113: set_nat > set_int > ( int > nat > $o ) > int ).

thf(func_def_1342,type,
    sK114: set_nat > set_int > ( int > nat > $o ) > nat ).

thf(func_def_1343,type,
    sK115: ( int > int > $o ) > set_int > set_int > int ).

thf(func_def_1344,type,
    sK116: ( int > int > $o ) > set_int > set_int > int ).

thf(func_def_1345,type,
    sK117: ( real > real > $o ) > real ).

thf(func_def_1346,type,
    sK118: set_real > real ).

thf(func_def_1347,type,
    sK119: set_nat > nat ).

thf(func_def_1348,type,
    sK120: num > num ).

thf(func_def_1349,type,
    sK121: set_real > real ).

thf(func_def_1350,type,
    sK122: num > num ).

thf(func_def_1351,type,
    sK123: set_real > ( set_real > $o ) > set_real ).

thf(func_def_1352,type,
    sK124: set_real > ( set_real > $o ) > real ).

thf(func_def_1353,type,
    sK125: vEBT_VEBT > $o ).

thf(func_def_1354,type,
    sK126: vEBT_VEBT > $o ).

thf(func_def_1355,type,
    sK127: ( rat > num ) > rat ).

thf(func_def_1356,type,
    sK128: ( rat > num ) > rat ).

thf(func_def_1357,type,
    sK129: ( nat > complex ) > set_nat > nat ).

thf(func_def_1358,type,
    sK130: vEBT_VEBT > nat ).

thf(func_def_1359,type,
    sK131: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1360,type,
    sK132: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1361,type,
    sK133: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1362,type,
    sK134: vEBT_VEBT > $o ).

thf(func_def_1363,type,
    sK135: vEBT_VEBT > $o ).

thf(func_def_1364,type,
    sK136: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1365,type,
    sK137: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1366,type,
    sK138: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1367,type,
    sK139: nat > nat > nat ).

thf(func_def_1368,type,
    sK140: nat > nat > nat ).

thf(func_def_1369,type,
    sK141: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1370,type,
    sK142: ( num > real ) > num ).

thf(func_def_1371,type,
    sK143: ( num > real ) > num ).

thf(func_def_1372,type,
    sK144: ( rat > rat > $o ) > rat ).

thf(func_def_1373,type,
    sK145: ( rat > rat > $o ) > rat ).

thf(func_def_1374,type,
    sK146: ( rat > rat > $o ) > rat ).

thf(func_def_1375,type,
    sK147: ( rat > rat > $o ) > rat ).

thf(func_def_1376,type,
    sK148: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_1377,type,
    sK149: rat > rat > rat ).

thf(func_def_1378,type,
    sK150: real > real ).

thf(func_def_1379,type,
    sK151: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1380,type,
    sK152: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1381,type,
    sK153: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1382,type,
    sK154: rat > rat ).

thf(func_def_1383,type,
    sK155: ( real > rat ) > real ).

thf(func_def_1384,type,
    sK156: ( real > rat ) > real ).

thf(func_def_1385,type,
    sK157: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_1386,type,
    sK158: num > num ).

thf(func_def_1387,type,
    sK159: ( int > rat ) > ( set_int > $o ) > int ).

thf(func_def_1388,type,
    sK160: ( int > rat ) > ( set_int > $o ) > set_int ).

thf(func_def_1389,type,
    sK161: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1390,type,
    sK162: ( rat > nat ) > rat ).

thf(func_def_1391,type,
    sK163: ( rat > nat ) > rat ).

thf(func_def_1392,type,
    sK164: real > nat > real ).

thf(func_def_1393,type,
    sK165: ( nat > nat ) > nat ).

thf(func_def_1394,type,
    sK166: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1395,type,
    sK167: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1396,type,
    sK168: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1397,type,
    sK169: nat > nat ).

thf(func_def_1398,type,
    sK170: set_nat > ( nat > real ) > nat ).

thf(func_def_1399,type,
    sK171: ( nat > nat > $o ) > set_nat > nat ).

thf(func_def_1400,type,
    sK172: ( nat > nat > $o ) > nat ).

thf(func_def_1401,type,
    sK173: ( nat > nat > $o ) > nat ).

thf(func_def_1402,type,
    sK174: ( nat > nat > $o ) > nat ).

thf(func_def_1403,type,
    sK175: ( nat > nat > $o ) > nat ).

thf(func_def_1404,type,
    sK176: rat > rat > rat ).

thf(func_def_1405,type,
    sK177: ( nat > $o ) > nat ).

thf(func_def_1406,type,
    sK178: set_real > real > real ).

thf(func_def_1407,type,
    sK179: nat > nat > nat ).

thf(func_def_1408,type,
    sK180: rat > rat ).

thf(func_def_1409,type,
    sK181: set_nat > nat ).

thf(func_def_1410,type,
    sK182: set_nat > nat > nat ).

thf(func_def_1411,type,
    sK183: ( nat > nat ) > set_nat > ( nat > nat ) > nat ).

thf(func_def_1412,type,
    sK184: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1413,type,
    sK185: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_1414,type,
    sK186: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_1415,type,
    sK187: nat > nat > nat ).

thf(func_def_1416,type,
    sK188: real > real ).

thf(func_def_1417,type,
    sK189: ( real > rat ) > real ).

thf(func_def_1418,type,
    sK190: ( real > rat ) > real ).

thf(func_def_1419,type,
    sK191: ( num > rat ) > num ).

thf(func_def_1420,type,
    sK192: ( num > rat ) > num ).

thf(func_def_1421,type,
    sK193: vEBT_VEBT > nat ).

thf(func_def_1422,type,
    sK194: set_nat > nat > nat ).

thf(func_def_1423,type,
    sK195: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_1424,type,
    sK196: set_nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_1425,type,
    sK197: set_nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1426,type,
    sK198: ( rat > real ) > rat ).

thf(func_def_1427,type,
    sK199: ( rat > real ) > rat ).

thf(func_def_1428,type,
    sK200: ( nat > rat ) > nat ).

thf(func_def_1429,type,
    sK201: ( nat > rat ) > nat ).

thf(func_def_1430,type,
    sK202: ( nat > real ) > nat ).

thf(func_def_1431,type,
    sK203: ( nat > $o ) > nat ).

thf(func_def_1432,type,
    sK204: real > real ).

thf(func_def_1433,type,
    sK205: nat > nat ).

thf(func_def_1434,type,
    sK206: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1435,type,
    sK207: set_int > int ).

thf(func_def_1436,type,
    sK208: ( nat > $o ) > nat ).

thf(func_def_1437,type,
    sK209: nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_1438,type,
    sK210: set_nat > ( nat > nat ) > nat ).

thf(func_def_1439,type,
    sK211: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1440,type,
    sK212: nat > nat > nat ).

thf(func_def_1441,type,
    sK213: nat > nat > nat ).

thf(func_def_1442,type,
    sK214: nat > nat > nat ).

thf(func_def_1443,type,
    sK215: nat > nat > nat ).

thf(func_def_1444,type,
    sK216: ( nat > real ) > nat > nat ).

thf(func_def_1445,type,
    sK217: ( nat > real ) > nat > real ).

thf(func_def_1446,type,
    sK218: nat > nat > nat > nat ).

thf(func_def_1447,type,
    sK219: ( rat > rat ) > rat ).

thf(func_def_1448,type,
    sK220: ( rat > rat ) > rat ).

thf(func_def_1449,type,
    sK221: ( nat > complex ) > ( nat > complex ) > nat > complex ).

thf(func_def_1450,type,
    sK222: ( nat > complex ) > ( nat > complex ) > nat > nat ).

thf(func_def_1451,type,
    sK223: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1452,type,
    sK224: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1453,type,
    sK225: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1454,type,
    sK226: ( num > nat ) > num ).

thf(func_def_1455,type,
    sK227: ( num > nat ) > num ).

thf(func_def_1456,type,
    sK228: ( num > rat ) > num ).

thf(func_def_1457,type,
    sK229: ( num > rat ) > num ).

thf(func_def_1458,type,
    sK230: real > real ).

thf(func_def_1459,type,
    sK231: ( real > $o ) > real ).

thf(func_def_1460,type,
    sK232: ( set_real > $o ) > ( real > num ) > set_real ).

thf(func_def_1461,type,
    sK233: ( set_real > $o ) > ( real > num ) > real ).

thf(func_def_1462,type,
    sK234: ( nat > real ) > nat > nat ).

thf(func_def_1463,type,
    sK235: ( nat > real ) > nat > nat ).

thf(func_def_1464,type,
    sK236: nat > nat > nat ).

thf(func_def_1465,type,
    sK237: nat > ( nat > $o ) > nat ).

thf(func_def_1466,type,
    sK238: nat > ( nat > $o ) > nat ).

thf(func_def_1467,type,
    sK239: ( real > int ) > real ).

thf(func_def_1468,type,
    sK240: ( real > int ) > real ).

thf(func_def_1469,type,
    sK241: ( int > real ) > int ).

thf(func_def_1470,type,
    sK242: ( int > real ) > int ).

thf(func_def_1471,type,
    sK243: real > real > nat ).

thf(func_def_1472,type,
    sK244: rat > rat > rat > rat ).

thf(func_def_1473,type,
    sK245: real > int ).

thf(func_def_1474,type,
    sK246: real > nat ).

thf(func_def_1475,type,
    sK247: ( num > int ) > num ).

thf(func_def_1476,type,
    sK248: ( num > int ) > num ).

thf(func_def_1477,type,
    sK249: ( real > real ) > real ).

thf(func_def_1478,type,
    sK250: ( real > real ) > real ).

thf(func_def_1479,type,
    sK251: int > int ).

thf(func_def_1480,type,
    sK252: int > int ).

thf(func_def_1481,type,
    sK253: ( rat > nat ) > rat ).

thf(func_def_1482,type,
    sK254: ( rat > nat ) > rat ).

thf(func_def_1483,type,
    sK255: ( set_int > $o ) > set_int ).

thf(func_def_1484,type,
    sK256: ( set_int > $o ) > int ).

thf(func_def_1485,type,
    sK257: ( real > num ) > real ).

thf(func_def_1486,type,
    sK258: ( real > num ) > real ).

thf(func_def_1487,type,
    sK259: ( rat > int ) > rat ).

thf(func_def_1488,type,
    sK260: ( rat > int ) > rat ).

thf(func_def_1489,type,
    sK261: ( num > num > $o ) > num ).

thf(func_def_1490,type,
    sK262: ( num > num > $o ) > num ).

thf(func_def_1491,type,
    sK263: ( num > num > $o ) > num ).

thf(func_def_1492,type,
    sK264: ( num > num > $o ) > num ).

thf(func_def_1493,type,
    sK265: ( num > num > $o ) > num ).

thf(func_def_1494,type,
    sK266: nat > nat ).

thf(func_def_1495,type,
    sK267: ( real > num ) > real ).

thf(func_def_1496,type,
    sK268: ( real > num ) > real ).

thf(func_def_1497,type,
    sK269: ( option4927543243414619207at_nat > option_nat > $o ) > option_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1498,type,
    sK270: ( option4927543243414619207at_nat > option_nat > $o ) > option_nat > option4927543243414619207at_nat > nat ).

thf(func_def_1499,type,
    sK271: ( nat > $o ) > nat > nat ).

thf(func_def_1500,type,
    sK272: ( nat > $o ) > nat > nat ).

thf(func_def_1501,type,
    sK273: real > real > real > real ).

thf(func_def_1502,type,
    sK274: ( real > nat > $o ) > set_nat > set_real > nat ).

thf(func_def_1503,type,
    sK275: ( real > nat > $o ) > set_nat > set_real > real ).

thf(func_def_1504,type,
    sK276: ( set_int > $o ) > set_int > set_int ).

thf(func_def_1505,type,
    sK277: ( set_int > $o ) > set_int > int ).

thf(func_def_1506,type,
    sK278: ( set_int > $o ) > int ).

thf(func_def_1507,type,
    sK279: ( set_int > $o ) > set_int ).

thf(func_def_1508,type,
    sK280: ( set_int > $o ) > set_int ).

thf(func_def_1509,type,
    sK281: ( rat > real ) > rat ).

thf(func_def_1510,type,
    sK282: ( rat > real ) > rat ).

thf(func_def_1511,type,
    sK283: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1512,type,
    sK284: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1513,type,
    sK285: nat > nat ).

thf(func_def_1514,type,
    sK286: ( rat > rat ) > rat ).

thf(func_def_1515,type,
    sK287: ( rat > rat ) > rat ).

thf(func_def_1516,type,
    sK288: set_int > ( nat > int > $o ) > set_nat > nat ).

thf(func_def_1517,type,
    sK289: set_int > ( nat > int > $o ) > set_nat > int ).

thf(func_def_1518,type,
    sK290: real > nat > ( nat > real ) > nat ).

thf(func_def_1519,type,
    sK291: ( rat > nat ) > rat ).

thf(func_def_1520,type,
    sK292: ( rat > nat ) > rat ).

thf(func_def_1521,type,
    sK293: rat > rat > rat ).

thf(func_def_1522,type,
    sK294: ( rat > real ) > rat ).

thf(func_def_1523,type,
    sK295: ( rat > real ) > rat ).

thf(func_def_1524,type,
    sK296: ( real > real > $o ) > real ).

thf(func_def_1525,type,
    sK297: ( real > real > $o ) > real ).

thf(func_def_1526,type,
    sK298: ( real > real > $o ) > real ).

thf(func_def_1527,type,
    sK299: ( real > real > $o ) > real ).

thf(func_def_1528,type,
    sK300: ( real > real > $o ) > real ).

thf(func_def_1529,type,
    sK301: num > num ).

thf(func_def_1530,type,
    sK302: ( nat > rat ) > nat ).

thf(func_def_1531,type,
    sK303: ( nat > rat ) > nat ).

thf(func_def_1532,type,
    sK304: ( nat > num ) > nat ).

thf(func_def_1533,type,
    sK305: ( nat > num ) > nat ).

thf(func_def_1534,type,
    sK306: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1535,type,
    sK307: list_VEBT_VEBT > nat ).

thf(func_def_1536,type,
    sK308: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1537,type,
    sK309: vEBT_VEBT > nat ).

thf(func_def_1538,type,
    sK310: ( rat > nat ) > rat ).

thf(func_def_1539,type,
    sK311: ( rat > nat ) > rat ).

thf(func_def_1540,type,
    sK312: ( nat > nat ) > set_nat > nat ).

thf(func_def_1541,type,
    sK313: rat > rat ).

thf(func_def_1542,type,
    sK314: ( rat > rat ) > rat ).

thf(func_def_1543,type,
    sK315: ( rat > rat ) > rat ).

thf(func_def_1544,type,
    sK316: option_nat > nat ).

thf(func_def_1545,type,
    sK317: nat > nat > nat ).

thf(func_def_1546,type,
    sK318: set_int > int ).

thf(func_def_1547,type,
    sK319: int > ( int > $o ) > int > int ).

thf(func_def_1548,type,
    sK320: int > ( int > $o ) > int > int ).

thf(func_def_1549,type,
    sK321: int > ( int > $o ) > int > int ).

thf(func_def_1550,type,
    sK322: int > ( int > $o ) > int > int ).

thf(func_def_1551,type,
    sK323: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1552,type,
    sK324: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1553,type,
    sK325: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1554,type,
    sK326: vEBT_VEBT > option_nat > $o ).

thf(func_def_1555,type,
    sK327: vEBT_VEBT > option_nat > $o ).

thf(func_def_1556,type,
    sK328: vEBT_VEBT > option_nat > nat ).

thf(func_def_1557,type,
    sK329: vEBT_VEBT > option_nat > nat ).

thf(func_def_1558,type,
    sK330: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_1559,type,
    sK331: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_1560,type,
    sK332: vEBT_VEBT > option_nat > nat ).

thf(func_def_1561,type,
    sK333: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1562,type,
    sK334: vEBT_VEBT > nat ).

thf(func_def_1563,type,
    sK335: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1564,type,
    sK336: set_nat > nat ).

thf(func_def_1565,type,
    sK337: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1566,type,
    sK338: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1567,type,
    sK339: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1568,type,
    sK340: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > nat ).

thf(func_def_1569,type,
    sK341: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1570,type,
    sK342: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1571,type,
    sK343: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1572,type,
    sK344: int > ( int > int > $o ) > int > int ).

thf(func_def_1573,type,
    sK345: int > ( int > int > $o ) > int > int ).

thf(func_def_1574,type,
    sK346: ( num > int ) > num ).

thf(func_def_1575,type,
    sK347: ( num > int ) > num ).

thf(func_def_1576,type,
    sK348: ( nat > num ) > nat ).

thf(func_def_1577,type,
    sK349: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1578,type,
    sK350: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1579,type,
    sK351: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1580,type,
    sK352: ( nat > $o ) > nat > nat ).

thf(func_def_1581,type,
    sK353: ( nat > $o ) > nat > nat ).

thf(func_def_1582,type,
    sK354: real > ( real > $o ) > real > real ).

thf(func_def_1583,type,
    sK355: real > real > ( real > $o ) > real ).

thf(func_def_1584,type,
    sK356: ( int > int > $o ) > int ).

thf(func_def_1585,type,
    sK357: ( int > int > $o ) > int ).

thf(func_def_1586,type,
    sK358: ( int > int > $o ) > int ).

thf(func_def_1587,type,
    sK359: ( int > int > $o ) > int ).

thf(func_def_1588,type,
    sK360: int > nat ).

thf(func_def_1589,type,
    sK361: int > nat ).

thf(func_def_1590,type,
    sK362: ( nat > set_int ) > nat ).

thf(func_def_1591,type,
    sK363: nat > nat > nat ).

thf(func_def_1592,type,
    sK364: ( nat > set_int ) > nat ).

thf(func_def_1593,type,
    sK365: ( int > int > $o ) > int ).

thf(func_def_1594,type,
    sK366: ( int > int > $o ) > int ).

thf(func_def_1595,type,
    sK367: ( int > int > $o ) > int ).

thf(func_def_1596,type,
    sK368: ( int > int > $o ) > int ).

thf(func_def_1597,type,
    sK369: ( int > int > $o ) > int ).

thf(func_def_1598,type,
    sK370: ( rat > int ) > rat ).

thf(func_def_1599,type,
    sK371: ( rat > int ) > rat ).

thf(func_def_1600,type,
    sK372: int > ( int > $o ) > int > int ).

thf(func_def_1601,type,
    sK373: int > ( int > $o ) > int > int ).

thf(func_def_1602,type,
    sK374: ( set_real > $o ) > ( real > rat ) > real ).

thf(func_def_1603,type,
    sK375: ( set_real > $o ) > ( real > rat ) > set_real ).

thf(func_def_1604,type,
    sK376: nat > nat ).

thf(func_def_1605,type,
    sK377: nat > nat > nat ).

thf(func_def_1606,type,
    sK378: ( nat > $o ) > nat ).

thf(func_def_1607,type,
    sK379: ( nat > $o ) > nat ).

thf(func_def_1608,type,
    sK380: nat > nat > nat > nat ).

thf(func_def_1609,type,
    sK381: nat > nat ).

thf(func_def_1610,type,
    sK382: real > real > nat ).

thf(func_def_1611,type,
    sK383: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1612,type,
    sK384: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1613,type,
    sK385: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1614,type,
    sK386: rat > rat ).

thf(func_def_1615,type,
    sK387: nat > set_nat > set_nat > nat > set_nat ).

thf(func_def_1616,type,
    sK388: ( int > rat ) > int ).

thf(func_def_1617,type,
    sK389: ( int > rat ) > int ).

thf(func_def_1618,type,
    sK390: ( nat > rat ) > nat ).

thf(func_def_1619,type,
    sK391: ( nat > rat ) > nat ).

thf(func_def_1620,type,
    sK392: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1621,type,
    sK393: nat > nat ).

thf(func_def_1622,type,
    sK394: ( int > $o ) > int > int ).

thf(func_def_1623,type,
    sK395: set_real > real > real ).

thf(func_def_1624,type,
    sK396: ( num > nat ) > num ).

thf(func_def_1625,type,
    sK397: ( num > nat ) > num ).

thf(func_def_1626,type,
    sK398: nat > nat > nat ).

thf(func_def_1627,type,
    sK399: ( rat > int ) > rat ).

thf(func_def_1628,type,
    sK400: ( rat > int ) > rat ).

thf(func_def_1629,type,
    sK401: ( real > rat ) > real ).

thf(func_def_1630,type,
    sK402: ( real > rat ) > real ).

thf(func_def_1631,type,
    sK403: nat > set_nat > nat ).

thf(func_def_1632,type,
    sK404: int > int > int ).

thf(func_def_1633,type,
    sK405: ( set_nat > $o ) > nat ).

thf(func_def_1634,type,
    sK406: ( set_nat > $o ) > set_nat ).

thf(func_def_1635,type,
    sK407: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1636,type,
    sK408: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1637,type,
    sK409: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1638,type,
    sK410: set_real > set_real ).

thf(func_def_1639,type,
    sK411: set_real > real ).

thf(func_def_1640,type,
    sK412: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1641,type,
    sK413: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1642,type,
    sK414: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1643,type,
    sK415: rat > rat ).

thf(func_def_1644,type,
    sK416: ( real > real > $o ) > real ).

thf(func_def_1645,type,
    sK417: ( real > real > $o ) > real ).

thf(func_def_1646,type,
    sK418: ( real > real > $o ) > real ).

thf(func_def_1647,type,
    sK419: ( real > real > $o ) > real ).

thf(func_def_1648,type,
    sK420: ( real > real > $o ) > set_real > real ).

thf(func_def_1649,type,
    sK421: nat > nat > nat ).

thf(func_def_1650,type,
    sK422: ( nat > nat ) > nat ).

thf(func_def_1651,type,
    sK423: ( nat > nat ) > nat ).

thf(func_def_1652,type,
    sK424: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1653,type,
    sK425: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1654,type,
    sK426: set_real > real ).

thf(func_def_1655,type,
    sK427: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1656,type,
    sK428: nat > vEBT_VEBT > nat ).

thf(func_def_1657,type,
    sK429: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1658,type,
    sK430: nat > vEBT_VEBT > nat ).

thf(func_def_1659,type,
    sK431: nat > vEBT_VEBT > nat ).

thf(func_def_1660,type,
    sK432: nat > vEBT_VEBT > nat ).

thf(func_def_1661,type,
    sK433: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1662,type,
    sK434: nat > vEBT_VEBT > nat ).

thf(func_def_1663,type,
    sK435: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1664,type,
    sK436: nat > vEBT_VEBT > nat ).

thf(func_def_1665,type,
    sK437: nat > vEBT_VEBT > nat ).

thf(func_def_1666,type,
    sK438: nat > vEBT_VEBT > nat ).

thf(func_def_1667,type,
    sK439: nat > nat > vEBT_VEBT > nat ).

thf(func_def_1668,type,
    sK440: vEBT_VEBT > nat > nat ).

thf(func_def_1669,type,
    sK441: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1670,type,
    sK442: vEBT_VEBT > nat > nat ).

thf(func_def_1671,type,
    sK443: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1672,type,
    sK444: vEBT_VEBT > nat > nat ).

thf(func_def_1673,type,
    sK445: vEBT_VEBT > nat > nat ).

thf(func_def_1674,type,
    sK446: vEBT_VEBT > nat > nat ).

thf(func_def_1675,type,
    sK447: nat > vEBT_VEBT > nat > nat ).

thf(func_def_1676,type,
    sK448: nat > vEBT_VEBT > nat ).

thf(func_def_1677,type,
    sK449: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1678,type,
    sK450: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1679,type,
    sK451: nat > vEBT_VEBT > nat ).

thf(func_def_1680,type,
    sK452: nat > vEBT_VEBT > nat ).

thf(func_def_1681,type,
    sK453: vEBT_VEBT > $o ).

thf(func_def_1682,type,
    sK454: vEBT_VEBT > $o ).

thf(func_def_1683,type,
    sK455: int > nat ).

thf(func_def_1684,type,
    sK456: nat > nat ).

thf(func_def_1685,type,
    sK457: ( int > int > $o ) > int ).

thf(func_def_1686,type,
    sK458: ( int > int > $o ) > int ).

thf(func_def_1687,type,
    sK459: ( int > int > $o ) > int ).

thf(func_def_1688,type,
    sK460: ( int > int > $o ) > int ).

thf(func_def_1689,type,
    sK461: set_int > ( int > int > $o ) > int ).

thf(func_def_1690,type,
    sK462: set_nat > nat > set_nat ).

thf(func_def_1691,type,
    sK463: ( real > num ) > real ).

thf(func_def_1692,type,
    sK464: ( real > num ) > real ).

thf(func_def_1693,type,
    sK465: ( nat > $o ) > nat > nat ).

thf(func_def_1694,type,
    sK466: ( nat > $o ) > nat > nat ).

thf(func_def_1695,type,
    sK467: ( num > rat ) > num ).

thf(func_def_1696,type,
    sK468: ( num > rat ) > num ).

thf(func_def_1697,type,
    sK469: ( rat > num ) > rat ).

thf(func_def_1698,type,
    sK470: ( rat > num ) > rat ).

thf(func_def_1699,type,
    sK471: nat > ( nat > $o ) > nat ).

thf(func_def_1700,type,
    sK472: real > real ).

thf(func_def_1701,type,
    sK473: ( set_real > $o ) > set_real ).

thf(func_def_1702,type,
    sK474: ( set_real > $o ) > real ).

thf(func_def_1703,type,
    sK475: ( nat > complex ) > ( nat > complex ) > ( complex > complex > $o ) > set_nat > nat ).

thf(func_def_1704,type,
    sK476: ( complex > complex > $o ) > complex ).

thf(func_def_1705,type,
    sK477: ( complex > complex > $o ) > complex ).

thf(func_def_1706,type,
    sK478: ( complex > complex > $o ) > complex ).

thf(func_def_1707,type,
    sK479: ( complex > complex > $o ) > complex ).

thf(func_def_1708,type,
    sK480: ( rat > nat ) > rat ).

thf(func_def_1709,type,
    sK481: ( rat > nat ) > rat ).

thf(func_def_1710,type,
    sK482: ( rat > int ) > rat ).

thf(func_def_1711,type,
    sK483: ( rat > int ) > rat ).

thf(func_def_1712,type,
    sK484: int > int > int ).

thf(func_def_1713,type,
    sK485: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1714,type,
    sK486: nat > nat ).

thf(func_def_1715,type,
    sK487: set_real > real ).

thf(func_def_1716,type,
    sK488: nat > ( nat > real ) > nat ).

thf(func_def_1717,type,
    sK489: nat > real > ( nat > real ) > real ).

thf(func_def_1718,type,
    sK490: num > num ).

thf(func_def_1719,type,
    sK491: real > real ).

thf(func_def_1720,type,
    sK492: ( nat > nat ) > nat ).

thf(func_def_1721,type,
    sK493: ( nat > nat ) > nat ).

thf(func_def_1722,type,
    sK494: nat > ( nat > $o ) > nat ).

thf(func_def_1723,type,
    sK495: nat > ( nat > $o ) > nat ).

thf(func_def_1724,type,
    sK496: ( nat > nat ) > nat ).

thf(func_def_1725,type,
    sK497: int > nat ).

thf(func_def_1726,type,
    sK498: rat > rat ).

thf(func_def_1727,type,
    sK499: ( rat > rat ) > rat ).

thf(func_def_1728,type,
    sK500: ( rat > rat ) > rat ).

thf(func_def_1729,type,
    sK501: rat > rat > rat ).

thf(func_def_1730,type,
    sK502: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1731,type,
    sK503: nat > nat ).

thf(func_def_1732,type,
    sK504: set_nat > nat ).

thf(func_def_1733,type,
    sK505: nat > nat > list_VEBT_VEBT > nat > nat > nat ).

thf(func_def_1734,type,
    sK506: nat > nat > list_VEBT_VEBT > nat > nat > nat ).

thf(func_def_1735,type,
    sK507: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1736,type,
    sK508: list_VEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1737,type,
    sK509: list_VEBT_VEBT > nat > vEBT_VEBT > nat ).

thf(func_def_1738,type,
    sK510: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1739,type,
    sK511: list_VEBT_VEBT > nat ).

thf(func_def_1740,type,
    sK512: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1741,type,
    sK513: ( nat > $o ) > nat > nat ).

thf(func_def_1742,type,
    sK514: ( nat > $o ) > nat ).

thf(func_def_1743,type,
    sK515: ( set_real > $o ) > real ).

thf(func_def_1744,type,
    sK516: ( set_real > $o ) > set_real ).

thf(func_def_1745,type,
    sK517: ( num > num ) > num ).

thf(func_def_1746,type,
    sK518: ( num > num ) > num ).

thf(func_def_1747,type,
    sK519: nat > ( nat > $o ) > nat ).

thf(func_def_1748,type,
    sK520: nat > ( nat > $o ) > nat ).

thf(func_def_1749,type,
    sK521: set_int > int ).

thf(func_def_1750,type,
    sK522: real > int ).

thf(func_def_1751,type,
    sK523: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1752,type,
    sK524: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1753,type,
    sK525: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1754,type,
    sK526: ( rat > rat ) > rat ).

thf(func_def_1755,type,
    sK527: ( rat > rat ) > rat ).

thf(func_def_1756,type,
    sK528: int > int ).

thf(func_def_1757,type,
    sK529: nat > nat > list_VEBT_VEBT > nat > nat > nat ).

thf(func_def_1758,type,
    sK530: nat > nat > list_VEBT_VEBT > nat > nat > nat ).

thf(func_def_1759,type,
    sK531: vEBT_VEBT > list_VEBT_VEBT > nat > nat ).

thf(func_def_1760,type,
    sK532: vEBT_VEBT > list_VEBT_VEBT > nat > nat ).

thf(func_def_1761,type,
    sK533: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1762,type,
    sK534: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1763,type,
    sK535: list_VEBT_VEBT > nat ).

thf(func_def_1764,type,
    sK536: nat > nat ).

thf(func_def_1765,type,
    sK537: ( num > rat ) > num ).

thf(func_def_1766,type,
    sK538: ( num > rat ) > num ).

thf(func_def_1767,type,
    sK539: set_nat > ( nat > nat ) > nat ).

thf(func_def_1768,type,
    sK540: ( rat > rat ) > rat ).

thf(func_def_1769,type,
    sK541: ( rat > rat ) > rat ).

thf(func_def_1770,type,
    sK542: set_nat > nat ).

thf(func_def_1771,type,
    sK543: ( nat > int ) > nat ).

thf(func_def_1772,type,
    sK544: real > real ).

thf(func_def_1773,type,
    sK545: ( set_nat > $o ) > set_nat ).

thf(func_def_1774,type,
    sK546: ( int > num ) > ( set_int > $o ) > int ).

thf(func_def_1775,type,
    sK547: ( int > num ) > ( set_int > $o ) > set_int ).

thf(func_def_1776,type,
    sK548: nat > nat > nat ).

thf(func_def_1777,type,
    sK549: ( real > $o ) > real ).

thf(func_def_1778,type,
    sK550: ( int > complex > $o ) > set_int > set_complex > complex ).

thf(func_def_1779,type,
    sK551: ( int > complex > $o ) > set_int > set_complex > int ).

thf(func_def_1780,type,
    sK552: int > ( int > $o ) > int ).

thf(func_def_1781,type,
    sK553: ( int > real ) > int ).

thf(func_def_1782,type,
    sK554: ( int > real ) > int ).

thf(func_def_1783,type,
    sK555: real > int ).

thf(func_def_1784,type,
    sK556: ( int > int > $o ) > int > int > int ).

thf(func_def_1785,type,
    sK557: ( int > int > $o ) > int > int > int ).

thf(func_def_1786,type,
    sK558: ( nat > int ) > nat ).

thf(func_def_1787,type,
    sK559: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_1788,type,
    sK560: ( num > rat ) > num ).

thf(func_def_1789,type,
    sK561: ( num > rat ) > num ).

thf(func_def_1790,type,
    sK562: ( set_real > $o ) > set_real ).

thf(func_def_1791,type,
    sK563: ( set_real > $o ) > set_real ).

thf(func_def_1792,type,
    sK564: ( set_real > $o ) > real ).

thf(func_def_1793,type,
    sK565: ( set_nat > $o ) > ( nat > rat ) > nat ).

thf(func_def_1794,type,
    sK566: ( set_nat > $o ) > ( nat > rat ) > set_nat ).

thf(func_def_1795,type,
    sK567: option_nat > option4927543243414619207at_nat > ( option_nat > option4927543243414619207at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_1796,type,
    sK568: option_nat > option4927543243414619207at_nat > ( option_nat > option4927543243414619207at_nat > $o ) > nat ).

thf(func_def_1797,type,
    sK569: ( rat > num ) > rat ).

thf(func_def_1798,type,
    sK570: ( rat > num ) > rat ).

thf(func_def_1799,type,
    sK571: ( num > int ) > num ).

thf(func_def_1800,type,
    sK572: ( num > int ) > num ).

thf(func_def_1801,type,
    sK573: ( nat > nat ) > nat ).

thf(func_def_1802,type,
    sK574: ( real > rat ) > real ).

thf(func_def_1803,type,
    sK575: ( real > rat ) > real ).

thf(func_def_1804,type,
    sK576: nat > nat ).

thf(func_def_1805,type,
    sK577: real > real ).

thf(func_def_1806,type,
    sK578: ( int > $o ) > int > int ).

thf(func_def_1807,type,
    sK579: ( int > $o ) > int > int ).

thf(func_def_1808,type,
    sK580: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_1809,type,
    sK581: ( nat > rat ) > nat ).

thf(func_def_1810,type,
    sK582: ( nat > rat ) > nat ).

thf(func_def_1811,type,
    sK583: ( rat > rat ) > rat ).

thf(func_def_1812,type,
    sK584: ( rat > rat ) > rat ).

thf(func_def_1813,type,
    sK585: nat > nat > nat ).

thf(func_def_1814,type,
    sK586: ( nat > nat > $o ) > nat ).

thf(func_def_1815,type,
    sK587: ( nat > nat > $o ) > nat ).

thf(func_def_1816,type,
    sK588: ( nat > nat > $o ) > nat ).

thf(func_def_1817,type,
    sK589: ( nat > nat > $o ) > nat ).

thf(func_def_1818,type,
    sK590: ( num > nat ) > num ).

thf(func_def_1819,type,
    sK591: ( num > nat ) > num ).

thf(func_def_1820,type,
    sK592: ( num > int ) > num ).

thf(func_def_1821,type,
    sK593: ( num > int ) > num ).

thf(func_def_1822,type,
    sK594: ( nat > int ) > nat ).

thf(func_def_1823,type,
    sK595: ( rat > nat ) > rat ).

thf(func_def_1824,type,
    sK596: ( rat > nat ) > rat ).

thf(func_def_1825,type,
    sK597: ( nat > $o ) > nat ).

thf(func_def_1826,type,
    sK598: ( nat > nat > $o ) > nat ).

thf(func_def_1827,type,
    sK599: ( nat > nat > $o ) > nat ).

thf(func_def_1828,type,
    sK600: ( nat > nat > $o ) > nat ).

thf(func_def_1829,type,
    sK601: ( num > num ) > num ).

thf(func_def_1830,type,
    sK602: ( num > num ) > num ).

thf(func_def_1831,type,
    sK603: set_nat > nat ).

thf(func_def_1832,type,
    sK604: ( nat > complex ) > nat > complex ).

thf(func_def_1833,type,
    sK605: ( num > real ) > num ).

thf(func_def_1834,type,
    sK606: ( num > real ) > num ).

thf(func_def_1835,type,
    sK607: int > nat ).

thf(func_def_1836,type,
    sK608: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1837,type,
    sK609: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1838,type,
    sK610: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1839,type,
    sK611: ( real > real ) > real ).

thf(func_def_1840,type,
    sK612: ( real > real ) > real ).

thf(func_def_1841,type,
    sK613: set_real > set_real > real ).

thf(func_def_1842,type,
    sK614: set_int > int ).

thf(func_def_1843,type,
    sK615: ( nat > complex ) > nat > nat ).

thf(func_def_1844,type,
    sK616: ( nat > complex ) > nat > nat ).

thf(func_def_1845,type,
    sK617: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1846,type,
    sK618: int > ( int > $o ) > int ).

thf(func_def_1847,type,
    sK619: rat > rat ).

thf(func_def_1848,type,
    sK620: real > real ).

thf(func_def_1849,type,
    sK621: ( rat > real ) > rat ).

thf(func_def_1850,type,
    sK622: ( rat > real ) > rat ).

thf(func_def_1851,type,
    sK623: ( set_real > $o ) > real ).

thf(func_def_1852,type,
    sK624: ( set_real > $o ) > set_real ).

thf(func_def_1853,type,
    sK625: set_int > set_int > int ).

thf(func_def_1854,type,
    sK626: set_real > real > set_real ).

thf(func_def_1855,type,
    sK627: ( rat > num ) > rat ).

thf(func_def_1856,type,
    sK628: ( rat > num ) > rat ).

thf(func_def_1857,type,
    sK629: real > nat ).

thf(func_def_1858,type,
    sK630: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1859,type,
    sK631: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1860,type,
    sK632: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1861,type,
    sK633: ( rat > int ) > rat ).

thf(func_def_1862,type,
    sK634: ( rat > int ) > rat ).

thf(func_def_1863,type,
    sK635: ( rat > rat ) > rat ).

thf(func_def_1864,type,
    sK636: ( rat > rat ) > rat ).

thf(func_def_1865,type,
    sK637: ( int > $o ) > int ).

thf(func_def_1866,type,
    sK638: nat > ( nat > $o ) > nat ).

thf(func_def_1867,type,
    sK639: ( real > int ) > real ).

thf(func_def_1868,type,
    sK640: ( real > int ) > real ).

thf(func_def_1869,type,
    sK641: rat > rat > rat ).

thf(func_def_1870,type,
    sK642: ( real > nat ) > real ).

thf(func_def_1871,type,
    sK643: ( real > nat ) > real ).

thf(func_def_1872,type,
    sK644: real > nat > real ).

thf(func_def_1873,type,
    sK645: ( num > num ) > num ).

thf(func_def_1874,type,
    sK646: ( num > num ) > num ).

thf(func_def_1875,type,
    sK647: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1876,type,
    sK648: vEBT_VEBT > nat ).

thf(func_def_1877,type,
    sK649: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1878,type,
    sK650: vEBT_VEBT > $o ).

thf(func_def_1879,type,
    sK651: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1880,type,
    sK652: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1881,type,
    sK653: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_1882,type,
    sK654: vEBT_VEBT > nat ).

thf(func_def_1883,type,
    sK655: vEBT_VEBT > $o ).

thf(func_def_1884,type,
    sK656: ( nat > real ) > nat ).

thf(func_def_1885,type,
    sK657: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_1886,type,
    sK658: ( rat > rat ) > rat ).

thf(func_def_1887,type,
    sK659: ( rat > rat ) > rat ).

thf(func_def_1888,type,
    sK660: ( nat > rat ) > nat ).

thf(func_def_1889,type,
    sK661: ( nat > rat ) > nat ).

thf(func_def_1890,type,
    sK662: vEBT_VEBT > $o ).

thf(func_def_1891,type,
    sK663: vEBT_VEBT > $o ).

thf(func_def_1892,type,
    sK664: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1893,type,
    sK665: vEBT_VEBT > nat ).

thf(func_def_1894,type,
    sK666: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1895,type,
    sK667: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1896,type,
    sK668: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1897,type,
    sK669: ( int > $o ) > int > int ).

thf(func_def_1898,type,
    sK670: ( int > $o ) > int > int ).

thf(func_def_1899,type,
    sK671: ( int > $o ) > int ).

thf(func_def_1900,type,
    sK672: real > ( real > real > $o ) > real > real ).

thf(func_def_1901,type,
    sK673: real > real > ( real > real > $o ) > real > real ).

thf(func_def_1902,type,
    sK674: real > real > ( real > real > $o ) > real > real ).

thf(func_def_1903,type,
    sK675: ( real > real > $o ) > real ).

thf(func_def_1904,type,
    sK676: ( real > real > $o ) > real ).

thf(func_def_1905,type,
    sK677: ( real > real > $o ) > real ).

thf(func_def_1906,type,
    sK678: ( nat > rat ) > nat ).

thf(func_def_1907,type,
    sK679: ( nat > num ) > ( set_nat > $o ) > nat ).

thf(func_def_1908,type,
    sK680: ( nat > num ) > ( set_nat > $o ) > set_nat ).

thf(func_def_1909,type,
    sK681: ( nat > nat > $o ) > nat ).

thf(func_def_1910,type,
    sK682: ( nat > nat > $o ) > nat ).

thf(func_def_1911,type,
    sK683: ( nat > nat > $o ) > nat ).

thf(func_def_1912,type,
    sK684: ( nat > nat > $o ) > nat ).

thf(func_def_1913,type,
    sK685: ( nat > nat > $o ) > nat ).

thf(func_def_1914,type,
    sK686: ( nat > num ) > nat ).

thf(func_def_1915,type,
    sK687: real > real > real ).

thf(func_def_1916,type,
    sK688: ( nat > real ) > nat > nat ).

thf(func_def_1917,type,
    sK689: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_1918,type,
    sK690: ( set_int > $o ) > set_int > set_int ).

thf(func_def_1919,type,
    sK691: ( num > nat ) > num ).

thf(func_def_1920,type,
    sK692: ( num > nat ) > num ).

thf(func_def_1921,type,
    sK693: nat > ( nat > vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_1922,type,
    sK694: list_VEBT_VEBT > ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_1923,type,
    sK695: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).

thf(func_def_1924,type,
    sK696: ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_1925,type,
    sK697: real > real > nat ).

thf(func_def_1926,type,
    sK698: real > ( nat > real ) > nat > nat > real ).

thf(func_def_1927,type,
    sK699: nat > nat ).

thf(func_def_1928,type,
    sK700: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1929,type,
    sK701: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1930,type,
    sK702: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1931,type,
    sK703: int > int ).

thf(func_def_1932,type,
    sK704: rat > rat ).

thf(func_def_1933,type,
    sK705: ( int > rat ) > int ).

thf(func_def_1934,type,
    sK706: ( int > rat ) > int ).

thf(func_def_1935,type,
    sK707: ( real > real ) > real ).

thf(func_def_1936,type,
    sK708: ( real > real ) > real ).

thf(func_def_1937,type,
    sK709: vEBT_VEBT > option_nat > $o ).

thf(func_def_1938,type,
    sK710: vEBT_VEBT > option_nat > $o ).

thf(func_def_1939,type,
    sK711: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1940,type,
    sK712: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1941,type,
    sK713: vEBT_VEBT > nat ).

thf(func_def_1942,type,
    sK714: vEBT_VEBT > option_nat > nat ).

thf(func_def_1943,type,
    sK715: vEBT_VEBT > option_nat > nat ).

thf(func_def_1944,type,
    sK716: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_1945,type,
    sK717: vEBT_VEBT > option_nat > nat ).

thf(func_def_1946,type,
    sK718: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_1947,type,
    sK719: real > real > real ).

thf(func_def_1948,type,
    sK720: product_prod_nat_nat > nat ).

thf(func_def_1949,type,
    sK721: product_prod_nat_nat > nat ).

thf(func_def_1950,type,
    sK722: ( rat > num ) > rat ).

thf(func_def_1951,type,
    sK723: ( rat > num ) > rat ).

thf(func_def_1952,type,
    sK724: nat ).

thf(func_def_1953,type,
    sK725: ( real > $o ) > real ).

thf(func_def_1954,type,
    sK726: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_1955,type,
    sK727: ( nat > complex ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_1956,type,
    sK728: real > real ).

thf(func_def_1957,type,
    sK729: ( set_int > $o ) > set_int ).

thf(func_def_1958,type,
    sK730: ( set_int > $o ) > int ).

thf(func_def_1959,type,
    sK731: set_int > ( set_int > $o ) > set_int ).

thf(func_def_1960,type,
    sK732: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1961,type,
    sK733: ( int > rat ) > int ).

thf(func_def_1962,type,
    sK734: ( int > rat ) > int ).

thf(func_def_1963,type,
    sK735: int > nat ).

thf(func_def_1964,type,
    sK736: int > nat ).

thf(func_def_1965,type,
    sK737: ( num > num ) > num ).

thf(func_def_1966,type,
    sK738: ( num > num ) > num ).

thf(func_def_1967,type,
    sK739: set_int > int ).

thf(func_def_1968,type,
    sK740: real > int ).

thf(func_def_1969,type,
    sK741: ( set_nat > $o ) > set_nat ).

thf(func_def_1970,type,
    sK742: ( set_nat > $o ) > set_nat ).

thf(func_def_1971,type,
    sK743: ( set_nat > $o ) > nat ).

thf(func_def_1972,type,
    sK744: set_int > int ).

thf(func_def_1973,type,
    sK745: nat > nat ).

thf(func_def_1974,type,
    sK746: nat > ( nat > $o ) > nat > nat ).

thf(func_def_1975,type,
    sK747: nat > nat > ( nat > $o ) > nat ).

thf(func_def_1976,type,
    sK748: ( int > $o ) > int ).

thf(func_def_1977,type,
    sK749: ( set_int > $o ) > int ).

thf(func_def_1978,type,
    sK750: ( set_int > $o ) > set_int ).

thf(func_def_1979,type,
    sK751: rat > rat > rat > rat ).

thf(func_def_1980,type,
    sK752: ( nat > complex ) > nat > nat ).

thf(func_def_1981,type,
    sK753: ( nat > complex ) > nat > complex ).

thf(func_def_1982,type,
    sK754: ( rat > nat ) > rat ).

thf(func_def_1983,type,
    sK755: ( rat > nat ) > rat ).

thf(func_def_1984,type,
    sK756: set_nat > set_nat ).

thf(func_def_1985,type,
    sK757: set_nat > nat ).

thf(func_def_1986,type,
    sK758: ( nat > real ) > nat > real ).

thf(func_def_1987,type,
    sK759: real > real > real > real ).

thf(func_def_1988,type,
    sK760: ( real > real ) > real ).

thf(func_def_1989,type,
    sK761: ( real > real ) > real ).

thf(func_def_1990,type,
    sK762: ( nat > $o ) > nat ).

thf(func_def_1991,type,
    sK763: ( nat > $o ) > nat ).

thf(func_def_1992,type,
    sK764: nat > ( nat > $o ) > nat ).

thf(func_def_1993,type,
    sK765: nat > ( nat > $o ) > nat ).

thf(func_def_1994,type,
    sK766: ( nat > num ) > nat ).

thf(func_def_1995,type,
    sK767: real > real ).

thf(func_def_1996,type,
    sK768: ( nat > nat ) > nat > nat ).

thf(func_def_1997,type,
    sK769: ( nat > nat ) > nat > nat ).

thf(func_def_1998,type,
    sK770: int > int > int ).

thf(func_def_1999,type,
    sK771: nat > nat ).

thf(func_def_2000,type,
    sK772: set_int > int ).

thf(func_def_2001,type,
    sK773: nat > nat > nat > nat ).

thf(func_def_2002,type,
    sK774: ( set_int > $o ) > int ).

thf(func_def_2003,type,
    sK775: ( set_int > $o ) > set_int ).

thf(func_def_2004,type,
    sK776: ( set_int > $o ) > int ).

thf(func_def_2005,type,
    sK777: ( num > nat ) > num ).

thf(func_def_2006,type,
    sK778: ( num > nat ) > num ).

thf(func_def_2007,type,
    sK779: real > int ).

thf(func_def_2008,type,
    sK780: set_int > set_int ).

thf(func_def_2009,type,
    sK781: set_int > int ).

thf(func_def_2010,type,
    sK782: ( nat > real ) > ( nat > real ) > set_nat > nat ).

thf(func_def_2011,type,
    sK783: vEBT_VEBT > $o ).

thf(func_def_2012,type,
    sK784: vEBT_VEBT > $o ).

thf(func_def_2013,type,
    sK785: ( rat > real ) > rat ).

thf(func_def_2014,type,
    sK786: ( rat > real ) > rat ).

thf(func_def_2015,type,
    sK787: ( real > nat ) > real ).

thf(func_def_2016,type,
    sK788: ( real > nat ) > real ).

thf(func_def_2017,type,
    sK789: ( nat > $o ) > nat ).

thf(func_def_2018,type,
    sK790: ( nat > nat ) > nat ).

thf(func_def_2019,type,
    sK791: set_nat > ( nat > nat ) > nat ).

thf(func_def_2020,type,
    sK792: set_int > int > int ).

thf(func_def_2021,type,
    sK793: real > real ).

thf(func_def_2022,type,
    sK794: int > int ).

thf(func_def_2023,type,
    sK795: ( rat > num ) > rat ).

thf(func_def_2024,type,
    sK796: ( rat > num ) > rat ).

thf(func_def_2025,type,
    sK797: int > int ).

thf(func_def_2026,type,
    sK798: ( real > rat ) > real ).

thf(func_def_2027,type,
    sK799: ( real > rat ) > real ).

thf(func_def_2028,type,
    sK800: num > num ).

thf(func_def_2029,type,
    sK801: ( nat > nat > $o ) > nat ).

thf(func_def_2030,type,
    sK802: ( nat > nat > $o ) > nat ).

thf(func_def_2031,type,
    sK803: ( nat > nat > $o ) > nat ).

thf(func_def_2032,type,
    sK804: ( nat > nat > $o ) > nat ).

thf(func_def_2033,type,
    sK805: ( nat > nat > $o ) > nat ).

thf(func_def_2034,type,
    sK806: set_nat > set_nat > nat ).

thf(func_def_2035,type,
    sK807: real > real > nat ).

thf(func_def_2036,type,
    sK808: ( nat > $o ) > nat ).

thf(func_def_2037,type,
    sK809: set_nat > set_nat > ( nat > nat > $o ) > nat ).

thf(func_def_2038,type,
    sK810: set_nat > set_nat > ( nat > nat > $o ) > nat ).

thf(func_def_2039,type,
    sK811: set_nat > nat ).

thf(func_def_2040,type,
    sK812: num > num ).

thf(func_def_2041,type,
    sK813: ( rat > real ) > rat ).

thf(func_def_2042,type,
    sK814: ( rat > real ) > rat ).

thf(func_def_2043,type,
    sK815: ( set_nat > $o ) > set_nat ).

thf(func_def_2044,type,
    sK816: ( set_nat > $o ) > nat ).

thf(func_def_2045,type,
    sK817: ( set_nat > $o ) > nat ).

thf(func_def_2046,type,
    sK818: vEBT_VEBT > $o ).

thf(func_def_2047,type,
    sK819: vEBT_VEBT > $o ).

thf(func_def_2048,type,
    sK820: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2049,type,
    sK821: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2050,type,
    sK822: vEBT_VEBT > nat ).

thf(func_def_2051,type,
    sK823: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2052,type,
    sK824: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2053,type,
    sK825: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2054,type,
    sK826: vEBT_VEBT > nat ).

thf(func_def_2055,type,
    sK827: nat > nat ).

thf(func_def_2056,type,
    sK828: ( set_nat > $o ) > nat ).

thf(func_def_2057,type,
    sK829: ( set_nat > $o ) > set_nat ).

thf(func_def_2058,type,
    sK830: nat > list_VEBT_VEBT ).

thf(func_def_2059,type,
    sK831: int > set_int > int ).

thf(func_def_2060,type,
    sK832: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2061,type,
    sK833: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2062,type,
    sK834: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2063,type,
    sK835: ( int > num ) > int ).

thf(func_def_2064,type,
    sK836: ( int > num ) > int ).

thf(func_def_2065,type,
    sK837: ( set_real > $o ) > set_real ).

thf(func_def_2066,type,
    sK838: nat > ( nat > $o ) > nat ).

thf(func_def_2067,type,
    sK839: ( nat > $o ) > nat ).

thf(func_def_2068,type,
    sK840: set_real > real ).

thf(func_def_2069,type,
    sK841: set_int > int > set_int ).

thf(func_def_2070,type,
    sK842: ( nat > real ) > nat ).

thf(func_def_2071,type,
    sK843: ( nat > real ) > nat ).

thf(func_def_2072,type,
    sK844: set_nat > nat ).

thf(func_def_2073,type,
    sK845: set_real > real ).

thf(func_def_2074,type,
    sK846: ( int > $o ) > int > int ).

thf(func_def_2075,type,
    sK847: ( int > $o ) > int > int ).

thf(func_def_2076,type,
    sK848: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2077,type,
    sK849: ( int > $o ) > int ).

thf(func_def_2078,type,
    sK850: ( nat > num ) > nat ).

thf(func_def_2079,type,
    sK851: ( set_nat > $o ) > set_nat ).

thf(func_def_2080,type,
    sK852: ( set_nat > $o ) > nat ).

thf(func_def_2081,type,
    sK853: int > int ).

thf(func_def_2082,type,
    sK854: set_int > int ).

thf(func_def_2083,type,
    sK855: set_nat > nat > set_nat ).

thf(func_def_2084,type,
    sK856: ( set_real > $o ) > ( real > nat ) > real ).

thf(func_def_2085,type,
    sK857: ( set_real > $o ) > ( real > nat ) > set_real ).

thf(func_def_2086,type,
    sK858: ( nat > $o ) > nat ).

thf(func_def_2087,type,
    sK859: ( rat > rat ) > rat ).

thf(func_def_2088,type,
    sK860: ( rat > rat ) > rat ).

thf(func_def_2089,type,
    sK861: ( nat > nat > $o ) > nat ).

thf(func_def_2090,type,
    sK862: ( nat > nat > $o ) > nat ).

thf(func_def_2091,type,
    sK863: ( nat > nat > $o ) > nat ).

thf(func_def_2092,type,
    sK864: ( nat > nat > $o ) > nat ).

thf(func_def_2093,type,
    sK865: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2094,type,
    sK866: ( rat > int ) > rat ).

thf(func_def_2095,type,
    sK867: ( rat > int ) > rat ).

thf(func_def_2096,type,
    sK868: ( nat > num ) > nat ).

thf(func_def_2097,type,
    sK869: ( nat > num ) > nat ).

thf(func_def_2098,type,
    sK870: ( real > rat ) > real ).

thf(func_def_2099,type,
    sK871: ( real > rat ) > real ).

thf(func_def_2100,type,
    sK872: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2101,type,
    sK873: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2102,type,
    sK874: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2103,type,
    sK875: int > nat ).

thf(func_def_2104,type,
    sK876: ( nat > num ) > nat ).

thf(func_def_2105,type,
    sK877: ( nat > num ) > nat ).

thf(func_def_2106,type,
    sK878: set_int > ( set_int > $o ) > set_int ).

thf(func_def_2107,type,
    sK879: set_int > ( set_int > $o ) > int ).

thf(func_def_2108,type,
    sK880: int > int ).

thf(func_def_2109,type,
    sK881: ( rat > nat ) > rat ).

thf(func_def_2110,type,
    sK882: ( rat > nat ) > rat ).

thf(func_def_2111,type,
    sK883: nat > real > real ).

thf(func_def_2112,type,
    sK884: ( rat > real ) > rat ).

thf(func_def_2113,type,
    sK885: ( rat > real ) > rat ).

thf(func_def_2114,type,
    sK886: ( int > $o ) > int > int > int ).

thf(func_def_2115,type,
    sK887: ( int > $o ) > int > int > int ).

thf(func_def_2116,type,
    sK888: ( int > $o ) > int > int > int ).

thf(func_def_2117,type,
    sK889: ( int > $o ) > int > int > int ).

thf(func_def_2118,type,
    sK890: real > real > real > real ).

thf(func_def_2119,type,
    sK891: ( nat > rat ) > nat ).

thf(func_def_2120,type,
    sK892: ( nat > rat ) > nat ).

thf(func_def_2121,type,
    sK893: real > nat ).

thf(func_def_2122,type,
    sK894: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_2123,type,
    sK895: int > int ).

thf(func_def_2124,type,
    sK896: set_real > real > set_real > real > set_real ).

thf(func_def_2125,type,
    sK897: ( nat > $o ) > nat ).

thf(func_def_2126,type,
    sK898: ( nat > $o ) > nat ).

thf(func_def_2127,type,
    sK899: int > int > int ).

thf(func_def_2128,type,
    sK900: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2129,type,
    sK901: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2130,type,
    sK902: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2131,type,
    sK903: real > real > real ).

thf(func_def_2132,type,
    sK904: nat > nat > nat ).

thf(func_def_2133,type,
    sK905: ( nat > $o ) > nat > nat ).

thf(func_def_2134,type,
    sK906: ( nat > $o ) > nat > nat ).

thf(func_def_2135,type,
    sK907: set_real > real ).

thf(func_def_2136,type,
    sK908: rat > rat ).

thf(func_def_2137,type,
    sK909: set_real > real ).

thf(func_def_2138,type,
    sK910: ( rat > rat ) > rat ).

thf(func_def_2139,type,
    sK911: ( rat > rat ) > rat ).

thf(func_def_2140,type,
    sK912: ( nat > rat ) > nat ).

thf(func_def_2141,type,
    sK913: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2142,type,
    sK914: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_2143,type,
    sK915: int > int > int ).

thf(func_def_2144,type,
    sK916: real > real ).

thf(func_def_2145,type,
    sK917: nat ).

thf(func_def_2146,type,
    sK918: ( nat > nat ) > nat ).

thf(func_def_2147,type,
    sK919: nat > nat > nat ).

thf(func_def_2148,type,
    sK920: list_VEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_2149,type,
    sK921: ( rat > rat > $o ) > rat ).

thf(func_def_2150,type,
    sK922: ( rat > rat > $o ) > rat ).

thf(func_def_2151,type,
    sK923: ( rat > rat > $o ) > rat ).

thf(func_def_2152,type,
    sK924: ( rat > rat > $o ) > rat ).

thf(func_def_2153,type,
    sK925: ( rat > rat > $o ) > rat ).

thf(func_def_2154,type,
    sK926: num > num ).

thf(func_def_2155,type,
    sK927: ( nat > $o ) > nat > nat ).

thf(func_def_2156,type,
    sK928: ( nat > $o ) > nat > nat ).

thf(func_def_2157,type,
    sK929: real > real ).

thf(func_def_2158,type,
    sK930: ( real > nat ) > real ).

thf(func_def_2159,type,
    sK931: ( real > nat ) > real ).

thf(func_def_2160,type,
    sK932: rat > rat ).

thf(func_def_2161,type,
    sK933: set_complex > set_real > ( real > complex > $o ) > complex ).

thf(func_def_2162,type,
    sK934: set_complex > set_real > ( real > complex > $o ) > real ).

thf(func_def_2163,type,
    sK935: ( rat > int ) > rat ).

thf(func_def_2164,type,
    sK936: ( rat > int ) > rat ).

thf(func_def_2165,type,
    sK937: ( int > rat ) > int ).

thf(func_def_2166,type,
    sK938: ( int > rat ) > int ).

thf(func_def_2167,type,
    sK939: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2168,type,
    sK940: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2169,type,
    sK941: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2170,type,
    sK942: ( num > num ) > num ).

thf(func_def_2171,type,
    sK943: ( num > num ) > num ).

thf(func_def_2172,type,
    sK944: ( set_real > $o ) > set_real ).

thf(func_def_2173,type,
    sK945: ( set_real > $o ) > real ).

thf(func_def_2174,type,
    sK946: rat > rat ).

thf(func_def_2175,type,
    sK947: ( nat > rat ) > nat ).

thf(func_def_2176,type,
    sK948: ( nat > rat ) > nat ).

thf(func_def_2177,type,
    sK949: option_nat > nat ).

thf(func_def_2178,type,
    sK950: ( num > real ) > num ).

thf(func_def_2179,type,
    sK951: ( num > real ) > num ).

thf(func_def_2180,type,
    sK952: ( real > int > $o ) > set_int > set_real > int ).

thf(func_def_2181,type,
    sK953: ( real > int > $o ) > set_int > set_real > real ).

thf(func_def_2182,type,
    sK954: real > real > real ).

thf(func_def_2183,type,
    sK955: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2184,type,
    sK956: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2185,type,
    sK957: num > num ).

thf(func_def_2186,type,
    sK958: int > int > int ).

thf(func_def_2187,type,
    sK959: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2188,type,
    sK960: rat > rat > rat ).

thf(func_def_2189,type,
    sK961: set_real > real > set_real ).

thf(func_def_2190,type,
    sK962: set_nat > nat ).

thf(func_def_2191,type,
    sK963: ( int > real ) > int ).

thf(func_def_2192,type,
    sK964: ( int > real ) > int ).

thf(func_def_2193,type,
    sK965: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2194,type,
    sK966: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2195,type,
    sK967: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2196,type,
    sK968: nat > nat > nat ).

thf(func_def_2197,type,
    sK969: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).

thf(func_def_2198,type,
    sK970: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2199,type,
    sK971: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2200,type,
    sK972: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2201,type,
    sK973: ( int > $o ) > int > int ).

thf(func_def_2202,type,
    sK974: nat > ( nat > $o ) > nat ).

thf(func_def_2203,type,
    sK975: nat > ( nat > $o ) > nat ).

thf(func_def_2204,type,
    sK976: rat > rat ).

thf(func_def_2205,type,
    sK977: vEBT_VEBT > $o ).

thf(func_def_2206,type,
    sK978: vEBT_VEBT > $o ).

thf(func_def_2207,type,
    sK979: ( real > real ) > real ).

thf(func_def_2208,type,
    sK980: ( real > real ) > real ).

thf(func_def_2209,type,
    sK981: ( set_int > $o ) > set_int ).

thf(func_def_2210,type,
    sK982: ( set_int > $o ) > set_int ).

thf(func_def_2211,type,
    sK983: ( set_int > $o ) > int ).

thf(func_def_2212,type,
    sK984: ( nat > int ) > nat ).

thf(func_def_2213,type,
    sK985: num > num ).

thf(func_def_2214,type,
    sK986: ( set_real > $o ) > set_real ).

thf(func_def_2215,type,
    sK987: ( set_real > $o ) > real ).

thf(func_def_2216,type,
    sK988: ( set_real > $o ) > real ).

thf(func_def_2217,type,
    sK989: ( nat > complex > $o ) > set_complex > set_nat > complex ).

thf(func_def_2218,type,
    sK990: ( nat > complex > $o ) > set_complex > set_nat > nat ).

thf(func_def_2219,type,
    sK991: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2220,type,
    sK992: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2221,type,
    sK993: ( nat > rat ) > nat ).

thf(func_def_2222,type,
    sK994: ( num > rat ) > num ).

thf(func_def_2223,type,
    sK995: ( num > rat ) > num ).

thf(func_def_2224,type,
    sK996: ( num > rat ) > num ).

thf(func_def_2225,type,
    sK997: ( num > rat ) > num ).

thf(func_def_2226,type,
    sK998: nat > nat ).

thf(func_def_2227,type,
    sK999: nat > nat ).

thf(func_def_2228,type,
    sK1000: ( nat > num ) > nat ).

thf(func_def_2229,type,
    sK1001: ( nat > num ) > nat ).

thf(func_def_2230,type,
    sK1002: rat > rat ).

thf(func_def_2231,type,
    sK1003: ( nat > $o ) > nat > nat ).

thf(func_def_2232,type,
    sK1004: nat > nat ).

thf(func_def_2233,type,
    sK1005: ( nat > nat > $o ) > nat ).

thf(func_def_2234,type,
    sK1006: ( nat > nat > $o ) > nat ).

thf(func_def_2235,type,
    sK1007: ( nat > nat > $o ) > nat ).

thf(func_def_2236,type,
    sK1008: ( nat > nat > $o ) > nat ).

thf(func_def_2237,type,
    sK1009: set_nat > ( nat > complex ) > set_nat > nat ).

thf(func_def_2238,type,
    sK1010: set_nat > ( nat > complex ) > ( nat > complex ) > nat ).

thf(func_def_2239,type,
    sK1011: rat > rat ).

thf(func_def_2240,type,
    sK1012: ( nat > $o ) > nat ).

thf(func_def_2241,type,
    sK1013: nat > set_nat > ( nat > nat ) > nat ).

thf(func_def_2242,type,
    sK1014: set_nat > ( nat > nat ) > nat ).

thf(func_def_2243,type,
    sK1015: option4927543243414619207at_nat > option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2244,type,
    sK1016: option4927543243414619207at_nat > option4927543243414619207at_nat > ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2245,type,
    sK1017: nat > nat > nat ).

thf(func_def_2246,type,
    sK1018: set_nat > nat > nat ).

thf(func_def_2247,type,
    sK1019: ( real > real ) > real ).

thf(func_def_2248,type,
    sK1020: ( real > real ) > real ).

thf(func_def_2249,type,
    sK1021: nat > set_nat > nat ).

thf(func_def_2250,type,
    sK1022: set_nat > nat ).

thf(func_def_2251,type,
    sK1023: ( nat > rat ) > nat ).

thf(func_def_2252,type,
    sK1024: ( rat > nat ) > rat ).

thf(func_def_2253,type,
    sK1025: ( rat > nat ) > rat ).

thf(func_def_2254,type,
    sK1026: ( num > rat ) > num ).

thf(func_def_2255,type,
    sK1027: ( num > rat ) > num ).

thf(func_def_2256,type,
    sK1028: ( nat > real ) > nat ).

thf(func_def_2257,type,
    sK1029: ( nat > real ) > nat ).

thf(func_def_2258,type,
    sK1030: ( rat > real ) > rat ).

thf(func_def_2259,type,
    sK1031: ( rat > real ) > rat ).

thf(func_def_2260,type,
    sK1032: rat > rat ).

thf(func_def_2261,type,
    sK1033: ( nat > $o ) > nat ).

thf(func_def_2262,type,
    sK1034: num > num ).

thf(func_def_2263,type,
    sK1035: nat > nat > nat ).

thf(func_def_2264,type,
    sK1036: ( num > num > $o ) > num ).

thf(func_def_2265,type,
    sK1037: ( num > num > $o ) > num ).

thf(func_def_2266,type,
    sK1038: ( num > num > $o ) > num ).

thf(func_def_2267,type,
    sK1039: ( num > num > $o ) > num ).

thf(func_def_2268,type,
    sK1040: option_nat > ( option_nat > option_nat > $o ) > option_nat > nat ).

thf(func_def_2269,type,
    sK1041: option_nat > ( option_nat > option_nat > $o ) > option_nat > nat ).

thf(f9,axiom,
    ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8__092_060open_062high_Ax_An_A_060_Alength_AtreeList_092_060close_062) ).

thf(f24,axiom,
    ! [X0: vEBT_VEBT] :
      ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
     => ( ( vEBT_invar_vebt @ X0 @ na )
        & ! [X1: nat,X2: nat] :
            ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
              = ( X1 != X2 ) )
            & ( vEBT_V8194947554948674370ptions @ X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23__C4_OIH_C_I1_J) ).

thf(f138,axiom,
    ! [X0: nat,X1: list_VEBT_VEBT] :
      ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
     => ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_nth__mem) ).

thf(f9373,conjecture,
    vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f9374,negated_conjecture,
    ~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
    inference(negated_conjecture,[status(cth)],[f9373]) ).

thf(f13791,plain,
    ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ),
    inference(rectify,[],[f9]) ).

thf(f13792,plain,
    ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
    = $true ),
    inference(fool_elimination,[],[f13791]) ).

thf(f15393,plain,
    ~ ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na ),
    inference(rectify,[],[f9374]) ).

thf(f15394,plain,
    ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
   != $true ),
    inference(fool_elimination,[],[f15393]) ).

thf(f16431,plain,
    ! [X0: nat,X1: list_VEBT_VEBT] :
      ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
     => ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) ) ),
    inference(rectify,[],[f138]) ).

thf(f16432,plain,
    ! [X0: nat,X1: list_VEBT_VEBT] :
      ( ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
        = $true )
     => ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) )
        = $true ) ),
    inference(fool_elimination,[],[f16431]) ).

thf(f23939,plain,
    ! [X0: vEBT_VEBT] :
      ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
     => ( ( vEBT_invar_vebt @ X0 @ na )
        & ! [X1: nat,X2: nat] :
            ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
              = ( X1 != X2 ) )
            & ( vEBT_V8194947554948674370ptions @ X0 @ X2 ) ) ) ),
    inference(rectify,[],[f24]) ).

thf(f23940,plain,
    ! [X0: vEBT_VEBT] :
      ( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
        = $true )
     => ( ! [X1: nat,X2: nat] :
            ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
              = $true )
          <=> ( ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
                = $true )
              & ( X1 != X2 ) ) )
        & ( ( vEBT_invar_vebt @ X0 @ na )
          = $true ) ) ),
    inference(fool_elimination,[],[f23939]) ).

thf(f26214,plain,
    ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
   != $true ),
    inference(flattening,[],[f15394]) ).

thf(f28656,plain,
    ! [X1: list_VEBT_VEBT,X0: nat] :
      ( ( ( ord_less_nat @ X0 @ ( size_s6755466524823107622T_VEBT @ X1 ) )
       != $true )
      | ( ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X1 @ X0 ) @ ( set_VEBT_VEBT2 @ X1 ) )
        = $true ) ),
    inference(ennf_transformation,[],[f16432]) ).

thf(f29390,plain,
    ! [X0: vEBT_VEBT] :
      ( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
       != $true )
      | ( ! [X1: nat,X2: nat] :
            ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
              = $true )
          <=> ( ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
                = $true )
              & ( X1 != X2 ) ) )
        & ( ( vEBT_invar_vebt @ X0 @ na )
          = $true ) ) ),
    inference(ennf_transformation,[],[f23940]) ).

thf(f32172,plain,
    ! [X0: vEBT_VEBT] :
      ( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
       != $true )
      | ( ! [X1: nat,X2: nat] :
            ( ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
                = $true )
              | ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
               != $true )
              | ( X1 = X2 ) )
            & ( ( ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
                  = $true )
                & ( X1 != X2 ) )
              | ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
               != $true ) ) )
        & ( ( vEBT_invar_vebt @ X0 @ na )
          = $true ) ) ),
    inference(nnf_transformation,[],[f29390]) ).

thf(f32173,plain,
    ! [X0: vEBT_VEBT] :
      ( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
       != $true )
      | ( ! [X1: nat,X2: nat] :
            ( ( ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
                = $true )
              | ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
               != $true )
              | ( X1 = X2 ) )
            & ( ( ( ( vEBT_V8194947554948674370ptions @ X0 @ X2 )
                  = $true )
                & ( X1 != X2 ) )
              | ( ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ X0 @ X1 ) @ X2 )
               != $true ) ) )
        & ( ( vEBT_invar_vebt @ X0 @ na )
          = $true ) ) ),
    inference(flattening,[],[f32172]) ).

thf(f32765,plain,
    ! [X0: list_VEBT_VEBT,X1: nat] :
      ( ( $true
       != ( ord_less_nat @ X1 @ ( size_s6755466524823107622T_VEBT @ X0 ) ) )
      | ( $true
        = ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X0 @ X1 ) @ ( set_VEBT_VEBT2 @ X0 ) ) ) ),
    inference(rectify,[],[f28656]) ).

thf(f33680,plain,
    ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
    = $true ),
    inference(cnf_transformation,[],[f13792]) ).

thf(f37669,plain,
    ! [X0: vEBT_VEBT] :
      ( ( ( member_VEBT_VEBT @ X0 @ ( set_VEBT_VEBT2 @ treeList ) )
       != $true )
      | ( ( vEBT_invar_vebt @ X0 @ na )
        = $true ) ),
    inference(cnf_transformation,[],[f32173]) ).

thf(f38791,plain,
    ! [X0: list_VEBT_VEBT,X1: nat] :
      ( ( $true
       != ( ord_less_nat @ X1 @ ( size_s6755466524823107622T_VEBT @ X0 ) ) )
      | ( $true
        = ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ X0 @ X1 ) @ ( set_VEBT_VEBT2 @ X0 ) ) ) ),
    inference(cnf_transformation,[],[f32765]) ).

thf(f40177,plain,
    ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
   != $true ),
    inference(cnf_transformation,[],[f26214]) ).

thf(f41740,definition,
    ( spl1042_16
  <=> ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1042_16])],[avatar_definition]) ).

thf(f41742,plain,
    ( ( ( ord_less_nat @ ( vEBT_VEBT_high @ xa @ na ) @ ( size_s6755466524823107622T_VEBT @ treeList ) )
      = $true )
    | ~ spl1042_16 ),
    inference(avatar_component_clause,[],[f41740]) ).

thf(f41743,plain,
    spl1042_16,
    inference(avatar_split_clause,[],[f33680,f41740]) ).

thf(f42854,definition,
    ( spl1042_238
  <=> ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1042_238])],[avatar_definition]) ).

thf(f42856,plain,
    ( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
     != $true )
    | spl1042_238 ),
    inference(avatar_component_clause,[],[f42854]) ).

thf(f42857,plain,
    ~ spl1042_238,
    inference(avatar_split_clause,[],[f40177,f42854]) ).

thf(f43045,definition,
    ( spl1042_270
  <=> ( $true
      = ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1042_270])],[avatar_definition]) ).

thf(f43046,plain,
    ( ( $true
      = ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) ) )
    | ~ spl1042_270 ),
    inference(avatar_component_clause,[],[f43045]) ).

thf(f47886,plain,
    ( ( $true != $true )
    | ( $true
      = ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) ) )
    | ~ spl1042_16 ),
    inference(superposition,[],[f38791,f41742]) ).

thf(f47894,plain,
    ( ( $true
      = ( member_VEBT_VEBT @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ ( set_VEBT_VEBT2 @ treeList ) ) )
    | ~ spl1042_16 ),
    inference(trivial_inequality_removal,[],[f47886]) ).

thf(f47896,plain,
    ( spl1042_270
    | ~ spl1042_16 ),
    inference(avatar_split_clause,[],[f47894,f41740,f43045]) ).

thf(f47898,plain,
    ( ( $true != $true )
    | ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
      = $true )
    | ~ spl1042_270 ),
    inference(superposition,[],[f37669,f43046]) ).

thf(f47902,plain,
    ( ( ( vEBT_invar_vebt @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ xa @ na ) ) @ na )
      = $true )
    | ~ spl1042_270 ),
    inference(trivial_inequality_removal,[],[f47898]) ).

thf(f47907,plain,
    ( $false
    | spl1042_238
    | ~ spl1042_270 ),
    inference(forward_subsumption_resolution,[],[f47902,f42856]) ).

thf(f47908,plain,
    ( spl1042_238
    | ~ spl1042_270 ),
    inference(avatar_contradiction_clause,[],[f47907]) ).

cnf(s13,plain,
    spl1042_16,
    inference(sat_conversion,[],[f41743]) ).

cnf(s343,plain,
    ~ spl1042_238,
    inference(sat_conversion,[],[f42857]) ).

cnf(s503,plain,
    ( ~ spl1042_16
    | spl1042_270 ),
    inference(sat_conversion,[],[f47896]) ).

cnf(s504,plain,
    ( spl1042_238
    | ~ spl1042_270 ),
    inference(sat_conversion,[],[f47908]) ).

cnf(s522,plain,
    ~ spl1042_270,
    inference(rat,[],[s504,s343]) ).

cnf(s523,plain,
    ~ spl1042_16,
    inference(rat,[],[s503,s522]) ).

cnf(s553,plain,
    $false,
    inference(rat,[],[s13,s523]) ).

thf(f47924,plain,
    $false,
    inference(avatar_sat_refutation,[],[s553]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP256^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n002.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Tue Sep 29 20:42:27 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running higher-order theorem proving
% 4.75/4.89  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
% 5.82/5.66  % (1816545)Detected a higher-order problem, will run a greedy HOL sequence.
% 5.82/5.66  % (1816556)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.82/5.66  % (1816556)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
% 5.82/5.66  % (1816550)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4142444672:s2a=on:i=87:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/87Mi)
% 5.82/5.66  % (1816551)lrs+10_16_si=on:nwc=1.5:random_seed=4047271446:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/18Mi)
% 5.82/5.66  % (1816552)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1844142167:i=3:rtra=on:inj=on:ntd=on_2993 on theBenchmark for (2993ds/3Mi)
% 5.82/5.66  % (1816553)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=1449573506: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_2993 on theBenchmark for (2993ds/634Mi)
% 5.82/5.66  % (1816554)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1961482829:i=24:av=off:rtra=on_2993 on theBenchmark for (2993ds/24Mi)
% 5.82/5.66  % (1816555)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3492109021:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/75Mi)
% 5.82/5.66  % (1816556)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=3530842291:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/157Mi)
% 5.82/5.66  % (1816552)Instruction limit reached! 
% 5.82/5.66  % (1816552)------------------------------
% 5.82/5.66  % (1816552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/5.66  % (1816552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/5.66  % (1816552)CaDiCaL version: 2.1.3
% 5.82/5.66  % (1816552)Termination reason: Instruction limit
% 5.82/5.66  % (1816552)Termination phase: shuffling
% 5.82/5.66  % (1816552)Time elapsed: 0.006 s
% 5.82/5.66  % (1816552)Peak memory usage: 24 MB
% 5.82/5.66  % (1816552)Instructions burned: 3 (million)
% 5.82/5.66  % (1816551)Instruction limit reached! 
% 5.82/5.66  % (1816551)------------------------------
% 5.82/5.66  % (1816551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/5.66  % (1816551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/5.66  % (1816551)CaDiCaL version: 2.1.3
% 5.82/5.66  % (1816551)Termination reason: Instruction limit
% 5.82/5.66  % (1816551)Termination phase: shuffling
% 5.82/5.66  % (1816551)Time elapsed: 0.021 s
% 5.82/5.66  % (1816551)Peak memory usage: 25 MB
% 5.82/5.66  % (1816551)Instructions burned: 18 (million)
% 5.82/5.66  % (1816554)Instruction limit reached! 
% 5.82/5.66  % (1816554)------------------------------
% 5.82/5.66  % (1816554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/5.66  % (1816554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/5.66  % (1816554)CaDiCaL version: 2.1.3
% 5.82/5.66  % (1816554)Termination reason: Instruction limit
% 5.82/5.66  % (1816554)Termination phase: shuffling
% 5.82/5.66  % (1816554)Time elapsed: 0.023 s
% 5.82/5.66  % (1816554)Peak memory usage: 25 MB
% 5.82/5.66  % (1816554)Instructions burned: 25 (million)
% 5.82/5.66  % (1816564)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3058965472:i=2:hud=10:rtra=on_2993 on theBenchmark for (2993ds/2Mi)
% 5.82/5.66  % (1816564)Instruction limit reached! 
% 5.82/5.66  % (1816564)------------------------------
% 5.82/5.66  % (1816564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/5.66  % (1816564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/5.66  % (1816564)CaDiCaL version: 2.1.3
% 5.82/5.66  % (1816564)Termination reason: Instruction limit
% 5.82/5.66  % (1816564)Termination phase: shuffling
% 5.82/5.66  % (1816564)Time elapsed: 0.004 s
% 5.82/5.66  % (1816564)Peak memory usage: 24 MB
% 5.82/5.66  % (1816564)Instructions burned: 2 (million)
% 5.82/5.66  % (1816565)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=273248879:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2993 on theBenchmark for (2993ds/5Mi)
% 5.82/5.70  % (1816565)Instruction limit reached! 
% 5.82/5.70  % (1816565)------------------------------
% 5.82/5.70  % (1816565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/5.70  % (1816565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/5.70  % (1816565)CaDiCaL version: 2.1.3
% 5.82/5.70  % (1816565)Termination reason: Instruction limit
% 5.82/5.70  % (1816565)Termination phase: shuffling
% 5.82/5.70  % (1816565)Time elapsed: 0.005 s
% 5.82/5.70  % (1816565)Peak memory usage: 24 MB
% 5.82/5.70  % (1816565)Instructions burned: 5 (million)
% 5.82/5.70  % (1816566)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 5.82/5.70  % (1816555)Instruction limit reached! 
% 5.82/5.70  % (1816555)------------------------------
% 5.82/5.70  % (1816555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/5.70  % (1816555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/5.70  % (1816555)CaDiCaL version: 2.1.3
% 5.82/5.70  % (1816555)Termination reason: Instruction limit
% 6.31/5.70  % (1816555)Termination phase: shuffling
% 6.31/5.70  % (1816555)Time elapsed: 0.045 s
% 6.31/5.70  % (1816555)Peak memory usage: 26 MB
% 6.31/5.70  % (1816555)Instructions burned: 76 (million)
% 6.31/5.70  % (1816566)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3475193203:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2993 on theBenchmark for (2993ds/7Mi)
% 6.31/5.70  % (1816550)Instruction limit reached! 
% 6.31/5.70  % (1816550)------------------------------
% 6.31/5.70  % (1816550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.70  % (1816550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.70  % (1816550)CaDiCaL version: 2.1.3
% 6.31/5.70  % (1816550)Termination reason: Instruction limit
% 6.31/5.70  % (1816550)Termination phase: shuffling
% 6.31/5.70  % (1816550)Time elapsed: 0.052 s
% 6.31/5.70  % (1816550)Peak memory usage: 26 MB
% 6.31/5.70  % (1816550)Instructions burned: 88 (million)
% 6.31/5.70  % (1816570)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
% 6.31/5.70  % (1816570)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 6.31/5.70  % (1816570)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2842250432:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2993 on theBenchmark for (2993ds/28Mi)
% 6.31/5.70  % (1816569)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3045341336:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2993 on theBenchmark for (2993ds/12Mi)
% 6.31/5.70  % (1816566)Instruction limit reached! 
% 6.31/5.70  % (1816566)------------------------------
% 6.31/5.70  % (1816566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.70  % (1816566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.70  % (1816566)CaDiCaL version: 2.1.3
% 6.31/5.70  % (1816566)Termination reason: Instruction limit
% 6.31/5.70  % (1816566)Termination phase: shuffling
% 6.31/5.70  % (1816566)Time elapsed: 0.013 s
% 6.31/5.70  % (1816566)Peak memory usage: 24 MB
% 6.31/5.70  % (1816566)Instructions burned: 7 (million)
% 6.31/5.70  % (1816572)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=2998342355:i=86:piset=equals:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/86Mi)
% 6.31/5.70  % (1816570)Instruction limit reached! 
% 6.31/5.70  % (1816570)------------------------------
% 6.31/5.70  % (1816570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.70  % (1816570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.70  % (1816570)CaDiCaL version: 2.1.3
% 6.31/5.70  % (1816570)Termination reason: Instruction limit
% 6.31/5.70  % (1816570)Termination phase: shuffling
% 6.31/5.70  % (1816570)Time elapsed: 0.016 s
% 6.31/5.70  % (1816570)Peak memory usage: 25 MB
% 6.31/5.70  % (1816570)Instructions burned: 31 (million)
% 6.31/5.70  % (1816573)lrs+10_1_si=on:cs=on:random_seed=3907494396:i=8:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/8Mi)
% 6.31/5.70  % (1816569)Instruction limit reached! 
% 6.31/5.75  % (1816569)------------------------------
% 6.31/5.75  % (1816569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.75  % (1816569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.75  % (1816569)CaDiCaL version: 2.1.3
% 6.31/5.75  % (1816569)Termination reason: Instruction limit
% 6.31/5.75  % (1816569)Termination phase: shuffling
% 6.31/5.75  % (1816569)Time elapsed: 0.018 s
% 6.31/5.75  % (1816569)Peak memory usage: 25 MB
% 6.31/5.75  % (1816569)Instructions burned: 12 (million)
% 6.31/5.75  % (1816576)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 6.31/5.75  % (1816578)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4222179677:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/38Mi)
% 6.31/5.75  % (1816576)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=757378737:i=2:add=on:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 6.31/5.75  % (1816556)Instruction limit reached! 
% 6.31/5.75  % (1816556)------------------------------
% 6.31/5.75  % (1816556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.75  % (1816556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.75  % (1816556)CaDiCaL version: 2.1.3
% 6.31/5.75  % (1816556)Termination reason: Instruction limit
% 6.31/5.75  % (1816556)Termination phase: shuffling
% 6.31/5.75  % (1816556)Time elapsed: 0.084 s
% 6.31/5.75  % (1816556)Peak memory usage: 28 MB
% 6.31/5.75  % (1816556)Instructions burned: 158 (million)
% 6.31/5.75  % (1816576)Instruction limit reached! 
% 6.31/5.75  % (1816576)------------------------------
% 6.31/5.75  % (1816576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.75  % (1816576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.75  % (1816576)CaDiCaL version: 2.1.3
% 6.31/5.75  % (1816576)Termination reason: Instruction limit
% 6.31/5.75  % (1816576)Termination phase: shuffling
% 6.31/5.75  % (1816576)Time elapsed: 0.004 s
% 6.31/5.75  % (1816576)Peak memory usage: 24 MB
% 6.31/5.75  % (1816576)Instructions burned: 2 (million)
% 6.31/5.75  % (1816573)Instruction limit reached! 
% 6.31/5.75  % (1816573)------------------------------
% 6.31/5.75  % (1816573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.75  % (1816573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.75  % (1816573)CaDiCaL version: 2.1.3
% 6.31/5.75  % (1816573)Termination reason: Instruction limit
% 6.31/5.75  % (1816573)Termination phase: shuffling
% 6.31/5.75  % (1816573)Time elapsed: 0.014 s
% 6.31/5.75  % (1816573)Peak memory usage: 24 MB
% 6.31/5.75  % (1816573)Instructions burned: 8 (million)
% 6.31/5.75  % (1816580)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2099295543:st=2:i=249:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/249Mi)
% 6.31/5.75  % (1816578)Instruction limit reached! 
% 6.31/5.75  % (1816578)------------------------------
% 6.31/5.75  % (1816578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/5.75  % (1816578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/5.75  % (1816578)CaDiCaL version: 2.1.3
% 6.31/5.75  % (1816578)Termination reason: Instruction limit
% 6.31/5.75  % (1816578)Termination phase: shuffling
% 6.31/5.75  % (1816578)Time elapsed: 0.018 s
% 6.31/5.75  % (1816578)Peak memory usage: 25 MB
% 6.31/5.75  % (1816578)Instructions burned: 42 (million)
% 6.31/5.75  % (1816583)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1979608950:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/25Mi)
% 6.31/5.75  % (1816584)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=957028845:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2992 on theBenchmark for (2992ds/14Mi)
% 6.31/5.75  % (1816585)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2321080413:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/327Mi)
% 6.31/5.75  % (1816587)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=808336647:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/14Mi)
% 6.31/5.75  % (1816572)Instruction limit reached! 
% 6.31/5.75  % (1816572)------------------------------
% 6.31/5.75  % (1816572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.80  % (1816572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.80  % (1816572)CaDiCaL version: 2.1.3
% 6.80/5.80  % (1816572)Termination reason: Instruction limit
% 6.80/5.80  % (1816572)Termination phase: shuffling
% 6.80/5.80  % (1816572)Time elapsed: 0.054 s
% 6.80/5.80  % (1816572)Peak memory usage: 27 MB
% 6.80/5.80  % (1816572)Instructions burned: 88 (million)
% 6.80/5.80  % (1816587)Instruction limit reached! 
% 6.80/5.80  % (1816587)------------------------------
% 6.80/5.80  % (1816587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.80  % (1816587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.80  % (1816587)CaDiCaL version: 2.1.3
% 6.80/5.80  % (1816587)Termination reason: Instruction limit
% 6.80/5.80  % (1816587)Termination phase: shuffling
% 6.80/5.80  % (1816587)Time elapsed: 0.010 s
% 6.80/5.80  % (1816587)Peak memory usage: 25 MB
% 6.80/5.80  % (1816587)Instructions burned: 14 (million)
% 6.80/5.80  % (1816584)Instruction limit reached! 
% 6.80/5.80  % (1816584)------------------------------
% 6.80/5.80  % (1816584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.80  % (1816584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.80  % (1816584)CaDiCaL version: 2.1.3
% 6.80/5.80  % (1816584)Termination reason: Instruction limit
% 6.80/5.80  % (1816584)Termination phase: shuffling
% 6.80/5.80  % (1816584)Time elapsed: 0.017 s
% 6.80/5.80  % (1816584)Peak memory usage: 25 MB
% 6.80/5.80  % (1816584)Instructions burned: 14 (million)
% 6.80/5.80  % (1816583)Instruction limit reached! 
% 6.80/5.80  % (1816583)------------------------------
% 6.80/5.80  % (1816583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.80  % (1816583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.80  % (1816583)CaDiCaL version: 2.1.3
% 6.80/5.80  % (1816583)Termination reason: Instruction limit
% 6.80/5.80  % (1816583)Termination phase: shuffling
% 6.80/5.80  % (1816583)Time elapsed: 0.023 s
% 6.80/5.80  % (1816583)Peak memory usage: 25 MB
% 6.80/5.80  % (1816583)Instructions burned: 26 (million)
% 6.80/5.80  % (1816592)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2335752442:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2992 on theBenchmark for (2992ds/2Mi)
% 6.80/5.80  % (1816592)Instruction limit reached! 
% 6.80/5.80  % (1816592)------------------------------
% 6.80/5.80  % (1816592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.80  % (1816592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.80  % (1816592)CaDiCaL version: 2.1.3
% 6.80/5.80  % (1816592)Termination reason: Instruction limit
% 6.80/5.80  % (1816592)Termination phase: shuffling
% 6.80/5.80  % (1816592)Time elapsed: 0.002 s
% 6.80/5.80  % (1816592)Peak memory usage: 24 MB
% 6.80/5.80  % (1816592)Instructions burned: 2 (million)
% 6.80/5.80  % (1816593)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=450630953:i=26:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/26Mi)
% 6.80/5.80  % (1816594)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1382257653:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/23Mi)
% 6.80/5.80  % (1816597)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
% 6.80/5.80  % (1816597)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 6.80/5.80  % (1816595)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=80953241:cond=on:i=60:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/60Mi)
% 6.80/5.80  % (1816597)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=1577712279:i=14:add=off:nm=40:rtra=on:rawr=on_2992 on theBenchmark for (2992ds/14Mi)
% 6.80/5.80  % (1816597)Instruction limit reached! 
% 6.80/5.80  % (1816597)------------------------------
% 6.80/5.80  % (1816597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.80  % (1816597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.80  % (1816597)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816597)Termination reason: Instruction limit
% 6.80/5.87  % (1816597)Termination phase: shuffling
% 6.80/5.87  % (1816597)Time elapsed: 0.010 s
% 6.80/5.87  % (1816597)Peak memory usage: 25 MB
% 6.80/5.87  % (1816597)Instructions burned: 16 (million)
% 6.80/5.87  % (1816594)Instruction limit reached! 
% 6.80/5.87  % (1816594)------------------------------
% 6.80/5.87  % (1816594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.87  % (1816594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.87  % (1816594)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816594)Termination reason: Instruction limit
% 6.80/5.87  % (1816594)Termination phase: shuffling
% 6.80/5.87  % (1816594)Time elapsed: 0.021 s
% 6.80/5.87  % (1816594)Peak memory usage: 25 MB
% 6.80/5.87  % (1816594)Instructions burned: 23 (million)
% 6.80/5.87  % (1816593)Instruction limit reached! 
% 6.80/5.87  % (1816593)------------------------------
% 6.80/5.87  % (1816593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.87  % (1816593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.87  % (1816593)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816593)Termination reason: Instruction limit
% 6.80/5.87  % (1816593)Termination phase: shuffling
% 6.80/5.87  % (1816593)Time elapsed: 0.025 s
% 6.80/5.87  % (1816593)Peak memory usage: 25 MB
% 6.80/5.87  % (1816593)Instructions burned: 28 (million)
% 6.80/5.87  % (1816602)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 6.80/5.87  % (1816602)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=1305510833:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2991 on theBenchmark for (2991ds/8Mi)
% 6.80/5.87  % (1816602)Instruction limit reached! 
% 6.80/5.87  % (1816602)------------------------------
% 6.80/5.87  % (1816602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.87  % (1816602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.87  % (1816602)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816602)Termination reason: Instruction limit
% 6.80/5.87  % (1816602)Termination phase: shuffling
% 6.80/5.87  % (1816602)Time elapsed: 0.009 s
% 6.80/5.87  % (1816602)Peak memory usage: 25 MB
% 6.80/5.87  % (1816602)Instructions burned: 9 (million)
% 6.80/5.87  % (1816595)Instruction limit reached! 
% 6.80/5.87  % (1816595)------------------------------
% 6.80/5.87  % (1816595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.87  % (1816595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.87  % (1816595)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816595)Termination reason: Instruction limit
% 6.80/5.87  % (1816595)Termination phase: shuffling
% 6.80/5.87  % (1816595)Time elapsed: 0.037 s
% 6.80/5.87  % (1816595)Peak memory usage: 26 MB
% 6.80/5.87  % (1816595)Instructions burned: 62 (million)
% 6.80/5.87  % (1816603)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=3556752698:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/31Mi)
% 6.80/5.87  % (1816604)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3557684045:i=7:hud=5:bd=preordered:rtra=on:bet=on_2991 on theBenchmark for (2991ds/7Mi)
% 6.80/5.87  % (1816606)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=307303911:i=23:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/23Mi)
% 6.80/5.87  % (1816604)Instruction limit reached! 
% 6.80/5.87  % (1816604)------------------------------
% 6.80/5.87  % (1816604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.87  % (1816604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.87  % (1816604)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816604)Termination reason: Instruction limit
% 6.80/5.87  % (1816604)Termination phase: shuffling
% 6.80/5.87  % (1816604)Time elapsed: 0.011 s
% 6.80/5.87  % (1816604)Peak memory usage: 24 MB
% 6.80/5.87  % (1816604)Instructions burned: 7 (million)
% 6.80/5.87  % (1816606)Instruction limit reached! 
% 6.80/5.87  % (1816606)------------------------------
% 6.80/5.87  % (1816606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.80/5.87  % (1816606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/5.87  % (1816606)CaDiCaL version: 2.1.3
% 6.80/5.87  % (1816606)Termination reason: Instruction limit
% 7.77/5.94  % (1816606)Termination phase: shuffling
% 7.77/5.94  % (1816606)Time elapsed: 0.013 s
% 7.77/5.94  % (1816606)Peak memory usage: 25 MB
% 7.77/5.94  % (1816606)Instructions burned: 26 (million)
% 7.77/5.94  % (1816608)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2212889564:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2991 on theBenchmark for (2991ds/20Mi)
% 7.77/5.94  % (1816603)Instruction limit reached! 
% 7.77/5.94  % (1816603)------------------------------
% 7.77/5.94  % (1816603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.94  % (1816603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.94  % (1816603)CaDiCaL version: 2.1.3
% 7.77/5.94  % (1816603)Termination reason: Instruction limit
% 7.77/5.94  % (1816603)Termination phase: shuffling
% 7.77/5.94  % (1816603)Time elapsed: 0.026 s
% 7.77/5.94  % (1816603)Peak memory usage: 25 MB
% 7.77/5.94  % (1816603)Instructions burned: 33 (million)
% 7.77/5.94  % (1816580)Instruction limit reached! 
% 7.77/5.94  % (1816580)------------------------------
% 7.77/5.94  % (1816580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.94  % (1816580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.94  % (1816580)CaDiCaL version: 2.1.3
% 7.77/5.94  % (1816580)Termination reason: Instruction limit
% 7.77/5.94  % (1816580)Termination phase: shuffling
% 7.77/5.94  % (1816580)Time elapsed: 0.125 s
% 7.77/5.94  % (1816580)Peak memory usage: 29 MB
% 7.77/5.94  % (1816580)Instructions burned: 249 (million)
% 7.77/5.94  % (1816613)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3529046417:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/143Mi)
% 7.77/5.94  % (1816611)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2796244428:i=1240:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/1240Mi)
% 7.77/5.94  % (1816608)Instruction limit reached! 
% 7.77/5.94  % (1816608)------------------------------
% 7.77/5.94  % (1816608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.94  % (1816608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.94  % (1816608)CaDiCaL version: 2.1.3
% 7.77/5.94  % (1816608)Termination reason: Instruction limit
% 7.77/5.94  % (1816608)Termination phase: shuffling
% 7.77/5.94  % (1816608)Time elapsed: 0.021 s
% 7.77/5.94  % (1816608)Peak memory usage: 25 MB
% 7.77/5.94  % (1816608)Instructions burned: 22 (million)
% 7.77/5.94  % (1816614)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3387362609:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/193Mi)
% 7.77/5.94  % (1816617)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=377518646:i=42:hud=10:rtra=on_2991 on theBenchmark for (2991ds/42Mi)
% 7.77/5.94  % (1816618)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 7.77/5.94  % (1816618)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=25022220:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2991 on theBenchmark for (2991ds/7Mi)
% 7.77/5.94  % (1816613)Instruction limit reached! 
% 7.77/5.94  % (1816613)------------------------------
% 7.77/5.94  % (1816613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.94  % (1816613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.94  % (1816613)CaDiCaL version: 2.1.3
% 7.77/5.94  % (1816613)Termination reason: Instruction limit
% 7.77/5.94  % (1816613)Termination phase: shuffling
% 7.77/5.94  % (1816613)Time elapsed: 0.043 s
% 7.77/5.94  % (1816613)Peak memory usage: 28 MB
% 7.77/5.94  % (1816613)Instructions burned: 146 (million)
% 7.77/5.94  % (1816585)Instruction limit reached! 
% 7.77/5.94  % (1816585)------------------------------
% 7.77/5.94  % (1816585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.77/5.94  % (1816585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.77/5.94  % (1816585)CaDiCaL version: 2.1.3
% 7.77/5.94  % (1816585)Termination reason: Instruction limit
% 7.77/5.94  % (1816585)Termination phase: shuffling
% 7.77/5.94  % (1816585)Time elapsed: 0.157 s
% 7.77/5.94  % (1816585)Peak memory usage: 30 MB
% 7.77/5.94  % (1816585)Instructions burned: 328 (million)
% 7.77/5.94  % (1816618)Instruction limit reached! 
% 7.77/5.94  % (1816618)------------------------------
% 7.77/5.94  % (1816618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/6.04  % (1816618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/6.04  % (1816618)CaDiCaL version: 2.1.3
% 9.02/6.04  % (1816618)Termination reason: Instruction limit
% 9.02/6.04  % (1816618)Termination phase: shuffling
% 9.02/6.04  % (1816618)Time elapsed: 0.012 s
% 9.02/6.04  % (1816618)Peak memory usage: 24 MB
% 9.02/6.04  % (1816618)Instructions burned: 7 (million)
% 9.02/6.04  % (1816617)Instruction limit reached! 
% 9.02/6.04  % (1816617)------------------------------
% 9.02/6.04  % (1816617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/6.04  % (1816617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/6.04  % (1816617)CaDiCaL version: 2.1.3
% 9.02/6.04  % (1816617)Termination reason: Instruction limit
% 9.02/6.04  % (1816617)Termination phase: shuffling
% 9.02/6.04  % (1816617)Time elapsed: 0.030 s
% 9.02/6.04  % (1816617)Peak memory usage: 25 MB
% 9.02/6.04  % (1816617)Instructions burned: 43 (million)
% 9.02/6.04  % (1816622)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3021301156:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/181Mi)
% 9.02/6.04  % (1816624)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 9.02/6.04  % (1816553)Instruction limit reached! 
% 9.02/6.04  % (1816553)------------------------------
% 9.02/6.04  % (1816553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/6.04  % (1816624)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1555919204:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2990 on theBenchmark for (2990ds/6Mi)
% 9.02/6.04  % (1816623)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=861524221:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/169Mi)
% 9.02/6.04  % (1816553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/6.04  % (1816553)CaDiCaL version: 2.1.3
% 9.02/6.04  % (1816553)Termination reason: Instruction limit
% 9.02/6.04  % (1816553)Termination phase: shuffling
% 9.02/6.04  % (1816553)Time elapsed: 0.291 s
% 9.02/6.04  % (1816553)Peak memory usage: 28 MB
% 9.02/6.04  % (1816553)Instructions burned: 636 (million)
% 9.02/6.04  % (1816625)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1620790711:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 9.02/6.04  % (1816624)Instruction limit reached! 
% 9.02/6.04  % (1816624)------------------------------
% 9.02/6.04  % (1816624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/6.04  % (1816624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/6.04  % (1816624)CaDiCaL version: 2.1.3
% 9.02/6.04  % (1816624)Termination reason: Instruction limit
% 9.02/6.04  % (1816624)Termination phase: shuffling
% 9.02/6.04  % (1816624)Time elapsed: 0.011 s
% 9.02/6.04  % (1816624)Peak memory usage: 24 MB
% 9.02/6.04  % (1816624)Instructions burned: 6 (million)
% 9.02/6.04  % (1816629)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1095048090:i=19:add=on:rtra=on_2990 on theBenchmark for (2990ds/19Mi)
% 9.02/6.04  % (1816625)Instruction limit reached! 
% 9.02/6.04  % (1816625)------------------------------
% 9.02/6.04  % (1816625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/6.04  % (1816625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.02/6.04  % (1816625)CaDiCaL version: 2.1.3
% 9.02/6.04  % (1816625)Termination reason: Instruction limit
% 9.02/6.04  % (1816625)Termination phase: shuffling
% 9.02/6.04  % (1816625)Time elapsed: 0.022 s
% 9.02/6.04  % (1816625)Peak memory usage: 25 MB
% 9.02/6.04  % (1816625)Instructions burned: 24 (million)
% 9.02/6.04  % (1816631)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1151187095:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/316Mi)
% 9.02/6.04  % (1816629)Instruction limit reached! 
% 9.02/6.04  % (1816629)------------------------------
% 9.02/6.04  % (1816629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.02/6.04  % (1816629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/6.15  % (1816629)CaDiCaL version: 2.1.3
% 9.47/6.15  % (1816629)Termination reason: Instruction limit
% 9.47/6.15  % (1816629)Termination phase: shuffling
% 9.47/6.15  % (1816629)Time elapsed: 0.020 s
% 9.47/6.15  % (1816629)Peak memory usage: 25 MB
% 9.47/6.15  % (1816629)Instructions burned: 20 (million)
% 9.47/6.15  % (1816622)Instruction limit reached! 
% 9.47/6.15  % (1816622)------------------------------
% 9.47/6.15  % (1816622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.47/6.15  % (1816622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/6.15  % (1816622)CaDiCaL version: 2.1.3
% 9.47/6.15  % (1816622)Termination reason: Instruction limit
% 9.47/6.15  % (1816622)Termination phase: shuffling
% 9.47/6.15  % (1816622)Time elapsed: 0.055 s
% 9.47/6.15  % (1816622)Peak memory usage: 29 MB
% 9.47/6.15  % (1816622)Instructions burned: 187 (million)
% 9.47/6.15  % (1816614)Instruction limit reached! 
% 9.47/6.15  % (1816614)------------------------------
% 9.47/6.15  % (1816614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.47/6.15  % (1816614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/6.15  % (1816614)CaDiCaL version: 2.1.3
% 9.47/6.15  % (1816614)Termination reason: Instruction limit
% 9.47/6.15  % (1816614)Termination phase: shuffling
% 9.47/6.15  % (1816614)Time elapsed: 0.100 s
% 9.47/6.15  % (1816614)Peak memory usage: 29 MB
% 9.47/6.15  % (1816614)Instructions burned: 193 (million)
% 9.47/6.15  % (1816633)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=240256281:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2990 on theBenchmark for (2990ds/853Mi)
% 9.47/6.15  % (1816636)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1415600300:i=480:rtra=on_2990 on theBenchmark for (2990ds/480Mi)
% 9.47/6.15  % (1816635)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=719801780:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2990 on theBenchmark for (2990ds/45Mi)
% 9.47/6.15  % (1816638)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2099546245:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2990 on theBenchmark for (2990ds/21Mi)
% 9.47/6.15  % (1816623)Instruction limit reached! 
% 9.47/6.15  % (1816623)------------------------------
% 9.47/6.15  % (1816623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.47/6.15  % (1816623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/6.15  % (1816623)CaDiCaL version: 2.1.3
% 9.47/6.15  % (1816623)Termination reason: Instruction limit
% 9.47/6.15  % (1816623)Termination phase: shuffling
% 9.47/6.15  % (1816623)Time elapsed: 0.088 s
% 9.47/6.15  % (1816623)Peak memory usage: 28 MB
% 9.47/6.15  % (1816623)Instructions burned: 169 (million)
% 9.47/6.15  % (1816638)Instruction limit reached! 
% 9.47/6.15  % (1816638)------------------------------
% 9.47/6.15  % (1816638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.47/6.15  % (1816638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/6.15  % (1816638)CaDiCaL version: 2.1.3
% 9.47/6.15  % (1816638)Termination reason: Instruction limit
% 9.47/6.15  % (1816638)Termination phase: shuffling
% 9.47/6.15  % (1816638)Time elapsed: 0.021 s
% 9.47/6.15  % (1816638)Peak memory usage: 25 MB
% 9.47/6.15  % (1816638)Instructions burned: 21 (million)
% 9.47/6.15  % (1816635)Instruction limit reached! 
% 9.47/6.15  % (1816635)------------------------------
% 9.47/6.15  % (1816635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.47/6.15  % (1816635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/6.15  % (1816635)CaDiCaL version: 2.1.3
% 9.47/6.15  % (1816635)Termination reason: Instruction limit
% 9.47/6.15  % (1816635)Termination phase: Property scanning
% 9.47/6.15  % (1816635)Time elapsed: 0.030 s
% 9.47/6.15  % (1816635)Peak memory usage: 25 MB
% 9.47/6.15  % (1816635)Instructions burned: 45 (million)
% 9.47/6.15  % (1816642)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 9.47/6.15  % (1816642)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3806196606:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/200Mi)
% 9.89/6.28  % (1816643)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4263294190:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2989 on theBenchmark for (2989ds/13Mi)
% 9.89/6.28  % (1816644)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=4139871707:i=66:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/66Mi)
% 9.89/6.28  % (1816643)Instruction limit reached! 
% 9.89/6.28  % (1816643)------------------------------
% 9.89/6.28  % (1816643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/6.28  % (1816643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/6.28  % (1816643)CaDiCaL version: 2.1.3
% 9.89/6.28  % (1816643)Termination reason: Instruction limit
% 9.89/6.28  % (1816643)Termination phase: shuffling
% 9.89/6.28  % (1816643)Time elapsed: 0.017 s
% 9.89/6.28  % (1816643)Peak memory usage: 25 MB
% 9.89/6.28  % (1816643)Instructions burned: 14 (million)
% 9.89/6.28  % (1816648)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1565507181:i=51:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/51Mi)
% 9.89/6.28  % (1816644)Instruction limit reached! 
% 9.89/6.28  % (1816644)------------------------------
% 9.89/6.28  % (1816644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/6.28  % (1816644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/6.28  % (1816644)CaDiCaL version: 2.1.3
% 9.89/6.28  % (1816644)Termination reason: Instruction limit
% 9.89/6.28  % (1816644)Termination phase: shuffling
% 9.89/6.28  % (1816644)Time elapsed: 0.041 s
% 9.89/6.28  % (1816644)Peak memory usage: 27 MB
% 9.89/6.28  % (1816644)Instructions burned: 67 (million)
% 9.89/6.28  % (1816650)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2909833287:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 9.89/6.28  % (1816636)Instruction limit reached! 
% 9.89/6.28  % (1816636)------------------------------
% 9.89/6.28  % (1816636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/6.28  % (1816636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/6.28  % (1816636)CaDiCaL version: 2.1.3
% 9.89/6.28  % (1816636)Termination reason: Instruction limit
% 9.89/6.28  % (1816636)Termination phase: shuffling
% 9.89/6.28  % (1816636)Time elapsed: 0.123 s
% 9.89/6.28  % (1816636)Peak memory usage: 33 MB
% 9.89/6.28  % (1816636)Instructions burned: 482 (million)
% 9.89/6.28  % (1816648)Instruction limit reached! 
% 9.89/6.28  % (1816648)------------------------------
% 9.89/6.28  % (1816648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/6.28  % (1816648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/6.28  % (1816648)CaDiCaL version: 2.1.3
% 9.89/6.28  % (1816648)Termination reason: Instruction limit
% 9.89/6.28  % (1816648)Termination phase: shuffling
% 9.89/6.28  % (1816648)Time elapsed: 0.034 s
% 9.89/6.28  % (1816648)Peak memory usage: 26 MB
% 9.89/6.28  % (1816648)Instructions burned: 52 (million)
% 9.89/6.28  % (1816631)Instruction limit reached! 
% 9.89/6.28  % (1816631)------------------------------
% 9.89/6.28  % (1816631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/6.28  % (1816631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/6.28  % (1816631)CaDiCaL version: 2.1.3
% 9.89/6.28  % (1816631)Termination reason: Instruction limit
% 9.89/6.28  % (1816631)Termination phase: shuffling
% 9.89/6.28  % (1816631)Time elapsed: 0.158 s
% 9.89/6.28  % (1816631)Peak memory usage: 32 MB
% 9.89/6.28  % (1816631)Instructions burned: 317 (million)
% 9.89/6.28  % (1816652)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=915409456:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2988 on theBenchmark for (2988ds/137Mi)
% 9.89/6.28  % (1816650)Instruction limit reached! 
% 9.89/6.28  % (1816650)------------------------------
% 9.89/6.28  % (1816650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.89/6.28  % (1816650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.89/6.28  % (1816650)CaDiCaL version: 2.1.3
% 9.89/6.28  % (1816650)Termination reason: Instruction limit
% 9.89/6.28  % (1816650)Termination phase: shuffling
% 9.89/6.28  % (1816650)Time elapsed: 0.026 s
% 9.89/6.28  % (1816650)Peak memory usage: 25 MB
% 9.89/6.28  % (1816650)Instructions burned: 31 (million)
% 9.89/6.28  % (1816642)Instruction limit reached! 
% 10.87/6.42  % (1816642)------------------------------
% 10.87/6.42  % (1816642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.87/6.42  % (1816642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/6.42  % (1816642)CaDiCaL version: 2.1.3
% 10.87/6.42  % (1816642)Termination reason: Instruction limit
% 10.87/6.42  % (1816642)Termination phase: shuffling
% 10.87/6.42  % (1816642)Time elapsed: 0.099 s
% 10.87/6.42  % (1816642)Peak memory usage: 29 MB
% 10.87/6.42  % (1816642)Instructions burned: 201 (million)
% 10.87/6.42  % (1816653)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2844070612:cond=on:i=34:hud=10:nm=10:rtra=on_2988 on theBenchmark for (2988ds/34Mi)
% 10.87/6.42  % (1816654)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3117479205:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2988 on theBenchmark for (2988ds/67Mi)
% 10.87/6.42  % (1816656)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 10.87/6.42  % (1816656)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1843002611:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2988 on theBenchmark for (2988ds/180Mi)
% 10.87/6.42  % (1816659)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3066945649:st=2:i=246:sd=3:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/246Mi)
% 10.87/6.42  % (1816652)Instruction limit reached! 
% 10.87/6.42  % (1816652)------------------------------
% 10.87/6.42  % (1816652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.87/6.42  % (1816652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/6.42  % (1816652)CaDiCaL version: 2.1.3
% 10.87/6.42  % (1816652)Termination reason: Instruction limit
% 10.87/6.42  % (1816652)Termination phase: shuffling
% 10.87/6.42  % (1816652)Time elapsed: 0.041 s
% 10.87/6.42  % (1816652)Peak memory usage: 27 MB
% 10.87/6.42  % (1816652)Instructions burned: 140 (million)
% 10.87/6.42  % (1816653)Instruction limit reached! 
% 10.87/6.42  % (1816653)------------------------------
% 10.87/6.42  % (1816653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.87/6.42  % (1816653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/6.42  % (1816653)CaDiCaL version: 2.1.3
% 10.87/6.42  % (1816653)Termination reason: Instruction limit
% 10.87/6.42  % (1816653)Termination phase: shuffling
% 10.87/6.42  % (1816653)Time elapsed: 0.029 s
% 10.87/6.42  % (1816653)Peak memory usage: 26 MB
% 10.87/6.42  % (1816653)Instructions burned: 35 (million)
% 10.87/6.42  % (1816662)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3164463911:cond=on:i=96:bd=all:rtra=on_2988 on theBenchmark for (2988ds/96Mi)
% 10.87/6.42  % (1816654)Instruction limit reached! 
% 10.87/6.42  % (1816654)------------------------------
% 10.87/6.42  % (1816654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.87/6.42  % (1816654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/6.42  % (1816654)CaDiCaL version: 2.1.3
% 10.87/6.42  % (1816654)Termination reason: Instruction limit
% 10.87/6.42  % (1816654)Termination phase: shuffling
% 10.87/6.42  % (1816654)Time elapsed: 0.042 s
% 10.87/6.42  % (1816654)Peak memory usage: 26 MB
% 10.87/6.42  % (1816654)Instructions burned: 69 (million)
% 10.87/6.42  % (1816663)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1988258825:i=427:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/427Mi)
% 10.87/6.42  % (1816665)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2376179953:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/874Mi)
% 10.87/6.42  % (1816662)Instruction limit reached! 
% 10.87/6.42  % (1816662)------------------------------
% 10.87/6.42  % (1816662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.87/6.42  % (1816662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.87/6.42  % (1816662)CaDiCaL version: 2.1.3
% 10.87/6.42  % (1816662)Termination reason: Instruction limit
% 10.87/6.42  % (1816662)Termination phase: shuffling
% 10.87/6.42  % (1816662)Time elapsed: 0.031 s
% 10.87/6.42  % (1816662)Peak memory usage: 27 MB
% 10.87/6.42  % (1816662)Instructions burned: 97 (million)
% 10.87/6.42  % (1816668)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3641749745:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/515Mi)
% 10.87/6.42  % (1816656)Instruction limit reached! 
% 11.23/6.54  % (1816656)------------------------------
% 11.23/6.54  % (1816656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.54  % (1816656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.54  % (1816656)CaDiCaL version: 2.1.3
% 11.23/6.54  % (1816656)Termination reason: Instruction limit
% 11.23/6.54  % (1816656)Termination phase: shuffling
% 11.23/6.54  % (1816656)Time elapsed: 0.095 s
% 11.23/6.54  % (1816656)Peak memory usage: 29 MB
% 11.23/6.54  % (1816656)Instructions burned: 181 (million)
% 11.23/6.54  % (1816670)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1151013620:st=1.5:i=130:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 11.23/6.54  % (1816659)Instruction limit reached! 
% 11.23/6.54  % (1816659)------------------------------
% 11.23/6.54  % (1816659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.54  % (1816659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.54  % (1816659)CaDiCaL version: 2.1.3
% 11.23/6.54  % (1816659)Termination reason: Instruction limit
% 11.23/6.54  % (1816659)Termination phase: shuffling
% 11.23/6.54  % (1816659)Time elapsed: 0.120 s
% 11.23/6.54  % (1816659)Peak memory usage: 29 MB
% 11.23/6.54  % (1816659)Instructions burned: 248 (million)
% 11.23/6.54  % (1816672)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2859372785:i=44:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/44Mi)
% 11.23/6.54  % (1816672)Instruction limit reached! 
% 11.23/6.54  % (1816672)------------------------------
% 11.23/6.54  % (1816672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.54  % (1816672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.54  % (1816672)CaDiCaL version: 2.1.3
% 11.23/6.54  % (1816672)Termination reason: Instruction limit
% 11.23/6.54  % (1816672)Termination phase: shuffling
% 11.23/6.54  % (1816672)Time elapsed: 0.033 s
% 11.23/6.54  % (1816672)Peak memory usage: 26 MB
% 11.23/6.54  % (1816672)Instructions burned: 44 (million)
% 11.23/6.54  % (1816670)Instruction limit reached! 
% 11.23/6.54  % (1816670)------------------------------
% 11.23/6.54  % (1816670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.54  % (1816670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.54  % (1816670)CaDiCaL version: 2.1.3
% 11.23/6.54  % (1816670)Termination reason: Instruction limit
% 11.23/6.54  % (1816670)Termination phase: shuffling
% 11.23/6.54  % (1816670)Time elapsed: 0.071 s
% 11.23/6.54  % (1816670)Peak memory usage: 28 MB
% 11.23/6.54  % (1816670)Instructions burned: 130 (million)
% 11.23/6.54  % (1816668)Instruction limit reached! 
% 11.23/6.54  % (1816668)------------------------------
% 11.23/6.54  % (1816668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.54  % (1816668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.54  % (1816668)CaDiCaL version: 2.1.3
% 11.23/6.54  % (1816668)Termination reason: Instruction limit
% 11.23/6.54  % (1816668)Termination phase: shuffling
% 11.23/6.54  % (1816668)Time elapsed: 0.131 s
% 11.23/6.54  % (1816668)Peak memory usage: 33 MB
% 11.23/6.54  % (1816668)Instructions burned: 517 (million)
% 11.23/6.54  % (1816674)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=437704299:s2a=on:i=571:nm=16:rtra=on_2986 on theBenchmark for (2986ds/571Mi)
% 11.23/6.54  % (1816633)Instruction limit reached! 
% 11.23/6.54  % (1816633)------------------------------
% 11.23/6.54  % (1816633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.23/6.54  % (1816633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/6.54  % (1816633)CaDiCaL version: 2.1.3
% 11.23/6.54  % (1816633)Termination reason: Instruction limit
% 11.23/6.54  % (1816633)Termination phase: shuffling
% 11.23/6.54  % (1816633)Time elapsed: 0.380 s
% 11.23/6.54  % (1816633)Peak memory usage: 31 MB
% 11.23/6.54  % (1816633)Instructions burned: 854 (million)
% 11.23/6.54  % (1816676)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1033602132:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/95Mi)
% 11.23/6.54  % (1816675)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=166566596:i=450:rtra=on:ixr=off:ntd=on_2986 on theBenchmark for (2986ds/450Mi)
% 11.23/6.54  % (1816678)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3482868759:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2986 on theBenchmark for (2986ds/65Mi)
% 12.29/6.68  % (1816663)Instruction limit reached! 
% 12.29/6.68  % (1816663)------------------------------
% 12.29/6.68  % (1816663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.29/6.68  % (1816663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/6.68  % (1816663)CaDiCaL version: 2.1.3
% 12.29/6.68  % (1816663)Termination reason: Instruction limit
% 12.29/6.68  % (1816663)Termination phase: shuffling
% 12.29/6.68  % (1816663)Time elapsed: 0.200 s
% 12.29/6.68  % (1816663)Peak memory usage: 32 MB
% 12.29/6.68  % (1816663)Instructions burned: 427 (million)
% 12.29/6.68  % (1816676)Instruction limit reached! 
% 12.29/6.68  % (1816676)------------------------------
% 12.29/6.68  % (1816676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.29/6.68  % (1816676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/6.68  % (1816676)CaDiCaL version: 2.1.3
% 12.29/6.68  % (1816676)Termination reason: Instruction limit
% 12.29/6.68  % (1816676)Termination phase: shuffling
% 12.29/6.68  % (1816676)Time elapsed: 0.032 s
% 12.29/6.68  % (1816676)Peak memory usage: 27 MB
% 12.29/6.68  % (1816676)Instructions burned: 97 (million)
% 12.29/6.68  % (1816683)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2617147100:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2985 on theBenchmark for (2985ds/5755Mi)
% 12.29/6.68  % (1816682)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=490928262:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2986 on theBenchmark for (2986ds/105Mi)
% 12.29/6.68  % (1816678)Instruction limit reached! 
% 12.29/6.68  % (1816678)------------------------------
% 12.29/6.68  % (1816678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.29/6.68  % (1816678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/6.68  % (1816678)CaDiCaL version: 2.1.3
% 12.29/6.68  % (1816678)Termination reason: Instruction limit
% 12.29/6.68  % (1816678)Termination phase: shuffling
% 12.29/6.68  % (1816678)Time elapsed: 0.042 s
% 12.29/6.68  % (1816678)Peak memory usage: 27 MB
% 12.29/6.68  % (1816678)Instructions burned: 66 (million)
% 12.29/6.68  % (1816686)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3157629938:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/375Mi)
% 12.29/6.68  % (1816611)Instruction limit reached! 
% 12.29/6.68  % (1816611)------------------------------
% 12.29/6.68  % (1816611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.29/6.68  % (1816611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/6.68  % (1816611)CaDiCaL version: 2.1.3
% 12.29/6.68  % (1816611)Termination reason: Instruction limit
% 12.29/6.68  % (1816611)Termination phase: shuffling
% 12.29/6.68  % (1816611)Time elapsed: 0.593 s
% 12.29/6.68  % (1816611)Peak memory usage: 50 MB
% 12.29/6.68  % (1816611)Instructions burned: 1242 (million)
% 12.29/6.68  % (1816682)Instruction limit reached! 
% 12.29/6.68  % (1816682)------------------------------
% 12.29/6.68  % (1816682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.29/6.68  % (1816682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.29/6.68  % (1816682)CaDiCaL version: 2.1.3
% 12.29/6.68  % (1816682)Termination reason: Instruction limit
% 12.29/6.68  % (1816682)Termination phase: shuffling
% 12.29/6.68  % (1816682)Time elapsed: 0.058 s
% 12.29/6.68  % (1816682)Peak memory usage: 27 MB
% 12.29/6.68  % (1816682)Instructions burned: 105 (million)
% 12.29/6.68  % (1816688)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=648896740:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/495Mi)
% 12.29/6.68  % (1816689)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=1533584367:cond=on:i=34:hud=10:nm=10:rtra=on_2985 on theBenchmark for (2985ds/34Mi)
% 12.29/6.68  % (1816689)Instruction limit reached! 
% 12.29/6.68  % (1816689)------------------------------
% 12.29/6.68  % (1816689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.29/6.68  % (1816689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816689)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816689)Termination reason: Instruction limit
% 13.47/6.82  % (1816689)Termination phase: shuffling
% 13.47/6.82  % (1816689)Time elapsed: 0.027 s
% 13.47/6.82  % (1816689)Peak memory usage: 26 MB
% 13.47/6.82  % (1816689)Instructions burned: 34 (million)
% 13.47/6.82  % (1816692)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=3051501444:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/91Mi)
% 13.47/6.82  % (1816675)Instruction limit reached! 
% 13.47/6.82  % (1816675)------------------------------
% 13.47/6.82  % (1816675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/6.82  % (1816675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816675)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816675)Termination reason: Instruction limit
% 13.47/6.82  % (1816675)Termination phase: shuffling
% 13.47/6.82  % (1816675)Time elapsed: 0.210 s
% 13.47/6.82  % (1816675)Peak memory usage: 32 MB
% 13.47/6.82  % (1816675)Instructions burned: 452 (million)
% 13.47/6.82  % (1816692)Instruction limit reached! 
% 13.47/6.82  % (1816692)------------------------------
% 13.47/6.82  % (1816692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/6.82  % (1816692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816692)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816692)Termination reason: Instruction limit
% 13.47/6.82  % (1816692)Termination phase: shuffling
% 13.47/6.82  % (1816692)Time elapsed: 0.052 s
% 13.47/6.82  % (1816692)Peak memory usage: 27 MB
% 13.47/6.82  % (1816692)Instructions burned: 91 (million)
% 13.47/6.82  % (1816665)Instruction limit reached! 
% 13.47/6.82  % (1816665)------------------------------
% 13.47/6.82  % (1816665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/6.82  % (1816665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816665)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816665)Termination reason: Instruction limit
% 13.47/6.82  % (1816665)Termination phase: Property scanning
% 13.47/6.82  % (1816665)Time elapsed: 0.395 s
% 13.47/6.82  % (1816665)Peak memory usage: 38 MB
% 13.47/6.82  % (1816665)Instructions burned: 876 (million)
% 13.47/6.82  % (1816694)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1527261724:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2984 on theBenchmark for (2984ds/66Mi)
% 13.47/6.82  % (1816695)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2605900889:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2984 on theBenchmark for (2984ds/22Mi)
% 13.47/6.82  % (1816674)Instruction limit reached! 
% 13.47/6.82  % (1816674)------------------------------
% 13.47/6.82  % (1816674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/6.82  % (1816674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816674)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816674)Termination reason: Instruction limit
% 13.47/6.82  % (1816674)Termination phase: shuffling
% 13.47/6.82  % (1816674)Time elapsed: 0.260 s
% 13.47/6.82  % (1816674)Peak memory usage: 34 MB
% 13.47/6.82  % (1816674)Instructions burned: 572 (million)
% 13.47/6.82  % (1816686)Instruction limit reached! 
% 13.47/6.82  % (1816686)------------------------------
% 13.47/6.82  % (1816686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/6.82  % (1816686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816686)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816686)Termination reason: Instruction limit
% 13.47/6.82  % (1816686)Termination phase: shuffling
% 13.47/6.82  % (1816686)Time elapsed: 0.175 s
% 13.47/6.82  % (1816686)Peak memory usage: 31 MB
% 13.47/6.82  % (1816686)Instructions burned: 377 (million)
% 13.47/6.82  % (1816697)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1579714218:i=338:bd=all:ins=4:rtra=on_2983 on theBenchmark for (2983ds/338Mi)
% 13.47/6.82  % (1816695)Instruction limit reached! 
% 13.47/6.82  % (1816695)------------------------------
% 13.47/6.82  % (1816695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.47/6.82  % (1816695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/6.82  % (1816695)CaDiCaL version: 2.1.3
% 13.47/6.82  % (1816695)Termination reason: Instruction limit
% 13.47/6.82  % (1816695)Termination phase: shuffling
% 13.83/6.99  % (1816695)Time elapsed: 0.021 s
% 13.83/6.99  % (1816701)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 13.83/6.99  % (1816695)Peak memory usage: 25 MB
% 13.83/6.99  % (1816695)Instructions burned: 22 (million)
% 13.83/6.99  % (1816699)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2007381561:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/28Mi)
% 13.83/6.99  % (1816694)Instruction limit reached! 
% 13.83/6.99  % (1816694)------------------------------
% 13.83/6.99  % (1816694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/6.99  % (1816694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/6.99  % (1816694)CaDiCaL version: 2.1.3
% 13.83/6.99  % (1816694)Termination reason: Instruction limit
% 13.83/6.99  % (1816694)Termination phase: shuffling
% 13.83/6.99  % (1816694)Time elapsed: 0.040 s
% 13.83/6.99  % (1816694)Peak memory usage: 26 MB
% 13.83/6.99  % (1816694)Instructions burned: 67 (million)
% 13.83/6.99  % (1816701)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=707776942:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/137Mi)
% 13.83/6.99  % (1816703)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=3365798775:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2983 on theBenchmark for (2983ds/340Mi)
% 13.83/6.99  % (1816705)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1816842619:i=227:sd=1:bd=all:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/227Mi)
% 13.83/6.99  % (1816699)Instruction limit reached! 
% 13.83/6.99  % (1816699)------------------------------
% 13.83/6.99  % (1816699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/6.99  % (1816699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/6.99  % (1816699)CaDiCaL version: 2.1.3
% 13.83/6.99  % (1816699)Termination reason: Instruction limit
% 13.83/6.99  % (1816699)Termination phase: shuffling
% 13.83/6.99  % (1816699)Time elapsed: 0.023 s
% 13.83/6.99  % (1816699)Peak memory usage: 25 MB
% 13.83/6.99  % (1816699)Instructions burned: 29 (million)
% 13.83/6.99  % (1816708)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 13.83/6.99  % (1816708)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1519354713:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/373Mi)
% 13.83/6.99  % (1816688)Instruction limit reached! 
% 13.83/6.99  % (1816688)------------------------------
% 13.83/6.99  % (1816688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/6.99  % (1816688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/6.99  % (1816688)CaDiCaL version: 2.1.3
% 13.83/6.99  % (1816688)Termination reason: Instruction limit
% 13.83/6.99  % (1816688)Termination phase: shuffling
% 13.83/6.99  % (1816688)Time elapsed: 0.228 s
% 13.83/6.99  % (1816688)Peak memory usage: 33 MB
% 13.83/6.99  % (1816688)Instructions burned: 496 (million)
% 13.83/6.99  % (1816701)Instruction limit reached! 
% 13.83/6.99  % (1816701)------------------------------
% 13.83/6.99  % (1816701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/6.99  % (1816701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/6.99  % (1816701)CaDiCaL version: 2.1.3
% 13.83/6.99  % (1816701)Termination reason: Instruction limit
% 13.83/6.99  % (1816701)Termination phase: shuffling
% 13.83/6.99  % (1816701)Time elapsed: 0.073 s
% 13.83/6.99  % (1816701)Peak memory usage: 28 MB
% 13.83/6.99  % (1816701)Instructions burned: 138 (million)
% 13.83/6.99  % (1816710)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=660793753:i=116:ep=RSTC:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/116Mi)
% 13.83/6.99  % (1816711)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1016171996:i=575:rtra=on_2982 on theBenchmark for (2982ds/575Mi)
% 13.83/6.99  % (1816705)Instruction limit reached! 
% 13.83/6.99  % (1816705)------------------------------
% 13.83/6.99  % (1816705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.83/6.99  % (1816705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.83/6.99  % (1816705)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816705)Termination reason: Instruction limit
% 17.07/7.28  % (1816705)Termination phase: shuffling
% 17.07/7.28  % (1816705)Time elapsed: 0.112 s
% 17.07/7.28  % (1816705)Peak memory usage: 29 MB
% 17.07/7.28  % (1816705)Instructions burned: 227 (million)
% 17.07/7.28  % (1816697)Instruction limit reached! 
% 17.07/7.28  % (1816697)------------------------------
% 17.07/7.28  % (1816697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816697)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816697)Termination reason: Instruction limit
% 17.07/7.28  % (1816697)Termination phase: shuffling
% 17.07/7.28  % (1816697)Time elapsed: 0.167 s
% 17.07/7.28  % (1816697)Peak memory usage: 33 MB
% 17.07/7.28  % (1816697)Instructions burned: 340 (million)
% 17.07/7.28  % (1816710)Instruction limit reached! 
% 17.07/7.28  % (1816710)------------------------------
% 17.07/7.28  % (1816710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816710)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816710)Termination reason: Instruction limit
% 17.07/7.28  % (1816710)Termination phase: shuffling
% 17.07/7.28  % (1816710)Time elapsed: 0.063 s
% 17.07/7.28  % (1816710)Peak memory usage: 28 MB
% 17.07/7.28  % (1816710)Instructions burned: 117 (million)
% 17.07/7.28  % (1816714)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=392613034:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2982 on theBenchmark for (2982ds/270Mi)
% 17.07/7.28  % (1816715)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=711715641:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/9840Mi)
% 17.07/7.28  % (1816716)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3264153639:i=421:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/421Mi)
% 17.07/7.28  % (1816703)Instruction limit reached! 
% 17.07/7.28  % (1816703)------------------------------
% 17.07/7.28  % (1816703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816703)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816703)Termination reason: Instruction limit
% 17.07/7.28  % (1816703)Termination phase: shuffling
% 17.07/7.28  % (1816703)Time elapsed: 0.168 s
% 17.07/7.28  % (1816703)Peak memory usage: 32 MB
% 17.07/7.28  % (1816703)Instructions burned: 340 (million)
% 17.07/7.28  % (1816720)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 17.07/7.28  % (1816720)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2984437287:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/270Mi)
% 17.07/7.28  % (1816708)Instruction limit reached! 
% 17.07/7.28  % (1816708)------------------------------
% 17.07/7.28  % (1816708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816708)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816708)Termination reason: Instruction limit
% 17.07/7.28  % (1816708)Termination phase: shuffling
% 17.07/7.28  % (1816708)Time elapsed: 0.184 s
% 17.07/7.28  % (1816708)Peak memory usage: 33 MB
% 17.07/7.28  % (1816708)Instructions burned: 373 (million)
% 17.07/7.28  % (1816722)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2645171436:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/31Mi)
% 17.07/7.28  % (1816722)Instruction limit reached! 
% 17.07/7.28  % (1816722)------------------------------
% 17.07/7.28  % (1816722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816722)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816722)Termination reason: Instruction limit
% 17.07/7.28  % (1816722)Termination phase: shuffling
% 17.07/7.28  % (1816722)Time elapsed: 0.026 s
% 17.07/7.28  % (1816722)Peak memory usage: 25 MB
% 17.07/7.28  % (1816722)Instructions burned: 32 (million)
% 17.07/7.28  % (1816714)Instruction limit reached! 
% 17.07/7.28  % (1816714)------------------------------
% 17.07/7.28  % (1816714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816714)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816714)Termination reason: Instruction limit
% 17.07/7.28  % (1816714)Termination phase: shuffling
% 17.07/7.28  % (1816714)Time elapsed: 0.134 s
% 17.07/7.28  % (1816714)Peak memory usage: 30 MB
% 17.07/7.28  % (1816714)Instructions burned: 271 (million)
% 17.07/7.28  % (1816724)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 17.07/7.28  % (1816724)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
% 17.07/7.28  % (1816724)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=1102866649:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2980 on theBenchmark for (2980ds/1440Mi)
% 17.07/7.28  % (1816725)dis+10_2_sil=128000:si=on:random_seed=1473614516:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2980 on theBenchmark for (2980ds/339Mi)
% 17.07/7.28  % (1816720)Instruction limit reached! 
% 17.07/7.28  % (1816720)------------------------------
% 17.07/7.28  % (1816720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816720)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816720)Termination reason: Instruction limit
% 17.07/7.28  % (1816720)Termination phase: shuffling
% 17.07/7.28  % (1816720)Time elapsed: 0.131 s
% 17.07/7.28  % (1816720)Peak memory usage: 30 MB
% 17.07/7.28  % (1816720)Instructions burned: 270 (million)
% 17.07/7.28  % (1816711)Instruction limit reached! 
% 17.07/7.28  % (1816711)------------------------------
% 17.07/7.28  % (1816711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816711)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816711)Termination reason: Instruction limit
% 17.07/7.28  % (1816711)Termination phase: shuffling
% 17.07/7.28  % (1816711)Time elapsed: 0.266 s
% 17.07/7.28  % (1816711)Peak memory usage: 34 MB
% 17.07/7.28  % (1816711)Instructions burned: 577 (million)
% 17.07/7.28  % (1816728)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3995928940:i=111:add=on:fgj=on:rtra=on:fdi=1024_2980 on theBenchmark for (2980ds/111Mi)
% 17.07/7.28  % (1816716)Instruction limit reached! 
% 17.07/7.28  % (1816716)------------------------------
% 17.07/7.28  % (1816716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816716)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816716)Termination reason: Instruction limit
% 17.07/7.28  % (1816716)Termination phase: shuffling
% 17.07/7.28  % (1816716)Time elapsed: 0.195 s
% 17.07/7.28  % (1816716)Peak memory usage: 32 MB
% 17.07/7.28  % (1816716)Instructions burned: 423 (million)
% 17.07/7.28  % (1816730)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1115565233:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/122Mi)
% 17.07/7.28  % (1816731)dis+1010_3:2_anc=all_dependent:sil=128000:si=on:sos=on:lma=off:spb=goal_then_units:bce=on:fd=off:random_seed=191729469:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/136Mi)
% 17.07/7.28  % (1816728)Instruction limit reached! 
% 17.07/7.28  % (1816728)------------------------------
% 17.07/7.28  % (1816728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816728)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816728)Termination reason: Instruction limit
% 17.07/7.28  % (1816728)Termination phase: shuffling
% 17.07/7.28  % (1816728)Time elapsed: 0.061 s
% 17.07/7.28  % (1816728)Peak memory usage: 27 MB
% 17.07/7.28  % (1816728)Instructions burned: 113 (million)
% 17.07/7.28  % (1816734)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3964943806:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/232Mi)
% 17.07/7.28  % (1816730)Instruction limit reached! 
% 17.07/7.28  % (1816730)------------------------------
% 17.07/7.28  % (1816730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816730)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816730)Termination reason: Instruction limit
% 17.07/7.28  % (1816730)Termination phase: shuffling
% 17.07/7.28  % (1816730)Time elapsed: 0.065 s
% 17.07/7.28  % (1816730)Peak memory usage: 27 MB
% 17.07/7.28  % (1816730)Instructions burned: 123 (million)
% 17.07/7.28  % (1816731)Instruction limit reached! 
% 17.07/7.28  % (1816731)------------------------------
% 17.07/7.28  % (1816731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816731)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816731)Termination reason: Instruction limit
% 17.07/7.28  % (1816731)Termination phase: shuffling
% 17.07/7.28  % (1816731)Time elapsed: 0.073 s
% 17.07/7.28  % (1816731)Peak memory usage: 28 MB
% 17.07/7.28  % (1816731)Instructions burned: 138 (million)
% 17.07/7.28  % (1816736)lrs+1010_8:1_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sos=on:plsqr=256,1:uwa=off:random_seed=1932550990:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2979 on theBenchmark for (2979ds/1254Mi)
% 17.07/7.28  % (1816725)Instruction limit reached! 
% 17.07/7.28  % (1816725)------------------------------
% 17.07/7.28  % (1816725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816725)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816725)Termination reason: Instruction limit
% 17.07/7.28  % (1816725)Termination phase: shuffling
% 17.07/7.28  % (1816725)Time elapsed: 0.162 s
% 17.07/7.28  % (1816725)Peak memory usage: 31 MB
% 17.07/7.28  % (1816725)Instructions burned: 339 (million)
% 17.07/7.28  % (1816737)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 17.07/7.28  % (1816737)dis+1002_5:4_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_simp:si=on:plsqr=878,253:plsql=on:uwa=interpreted_only:lwlo=on:random_seed=1500972114:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2978 on theBenchmark for (2978ds/281Mi)
% 17.07/7.28  % (1816739)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2966517276:i=619:add=on:rtra=on_2978 on theBenchmark for (2978ds/619Mi)
% 17.07/7.28  % (1816734)Instruction limit reached! 
% 17.07/7.28  % (1816734)------------------------------
% 17.07/7.28  % (1816734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816734)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816734)Termination reason: Instruction limit
% 17.07/7.28  % (1816734)Termination phase: shuffling
% 17.07/7.28  % (1816734)Time elapsed: 0.113 s
% 17.07/7.28  % (1816734)Peak memory usage: 29 MB
% 17.07/7.28  % (1816734)Instructions burned: 232 (million)
% 17.07/7.28  % (1816742)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=480200017:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/865Mi)
% 17.07/7.28  % (1816737)Instruction limit reached! 
% 17.07/7.28  % (1816737)------------------------------
% 17.07/7.28  % (1816737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.28  % (1816737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.28  % (1816737)CaDiCaL version: 2.1.3
% 17.07/7.28  % (1816737)Termination reason: Instruction limit
% 17.07/7.28  % (1816737)Termination phase: shuffling
% 17.07/7.28  % (1816737)Time elapsed: 0.140 s
% 17.07/7.28  % (1816737)Peak memory usage: 32 MB
% 17.07/7.28  % (1816737)Instructions burned: 281 (million)
% 17.07/7.28  % (1816744)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1517550645:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/212Mi)
% 17.07/7.28  % (1816683) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1816545-1816683"...
% 17.07/7.28  % (1816683)...printing done.
% 17.07/7.28  % (1816683)Refutation found. Thanks to Tanya!
% 17.07/7.28  % SZS status Theorem for theBenchmark
% 17.07/7.28  % SZS output start Proof for theBenchmark
% See solution above
% 17.07/7.30  % (1816683)------------------------------
% 17.07/7.30  % (1816683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.07/7.30  % (1816683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/7.30  % (1816683)CaDiCaL version: 2.1.3
% 17.07/7.30  % (1816683)Termination reason: Refutation
% 17.07/7.30  % (1816683)Time elapsed: 0.948 s
% 17.07/7.30  % (1816683)Peak memory usage: 56 MB
% 17.07/7.30  % (1816683)Instructions burned: 3534 (million)
% 17.07/7.30  % (1816545)Success in time 2.387 s
% 17.07/7.30  % Vampire exiting
%------------------------------------------------------------------------------