Vampire-SAT---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP236^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:11:26 AM UTC 2026

% Result   : Theorem 161.07s 35.17s
% Output   : Refutation 242.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   58 (  25 unt;   0 typ;   5 def)
%            Number of atoms       :  181 (  39 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  214 (  33   ~;  37   |;   0   &; 136   @)
%                                         (   5 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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     : 6039 (6036 usr;  86 con; 0-6 aty)
%            Number of variables   :   28 (   0 sgn  13   !;   3   ?;  28   :)

% 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_list_nat: $tType ).

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

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

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

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

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

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

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

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

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

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

thf(type_def_146,type,
    set_Code_integer: $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,
    binomial: nat > nat > nat ).

thf(func_def_11,type,
    gbinomial_complex: complex > nat > complex ).

thf(func_def_12,type,
    gbinomial_int: int > nat > int ).

thf(func_def_13,type,
    gbinomial_nat: nat > nat > nat ).

thf(func_def_14,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_15,type,
    gbinomial_real: real > nat > real ).

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

thf(func_def_17,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_18,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_19,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_20,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_21,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_22,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_23,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_24,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_25,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_26,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_27,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_28,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_29,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_30,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_31,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_32,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_33,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_34,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_35,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_36,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_37,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_38,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_39,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_40,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_41,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_42,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_43,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_44,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_45,type,
    bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).

thf(func_def_46,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_47,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_48,type,
    bit_se9216721137139052372nteger: code_integer > nat > $o ).

thf(func_def_49,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_50,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_51,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_52,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_53,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_54,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_55,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_56,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_57,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_58,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_59,type,
    code_nat_of_integer: code_integer > nat ).

thf(func_def_60,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

thf(func_def_61,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

thf(func_def_62,type,
    complete_Inf_Inf_nat: set_nat > nat ).

thf(func_def_63,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_64,type,
    complete_Sup_Sup_nat: set_nat > nat ).

thf(func_def_65,type,
    arg: complex > real ).

thf(func_def_66,type,
    cis: real > complex ).

thf(func_def_67,type,
    complex2: real > real > complex ).

thf(func_def_68,type,
    condit2214826472909112428ve_nat: set_nat > $o ).

thf(func_def_69,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(func_def_70,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(func_def_71,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_72,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_73,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_74,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_75,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_76,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_77,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_78,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_79,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_80,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_81,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_82,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_83,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_84,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(func_def_85,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_86,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_87,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_88,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(func_def_89,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_90,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_91,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_92,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_93,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_94,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_95,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_96,type,
    inverse_inverse_real: real > real ).

thf(func_def_97,type,
    at_bot_real: filter_real ).

thf(func_def_98,type,
    at_top_nat: filter_nat ).

thf(func_def_99,type,
    at_top_real: filter_real ).

thf(func_def_100,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_101,type,
    eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $o ).

thf(func_def_102,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_103,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_104,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_105,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_106,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

thf(func_def_107,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

thf(func_def_108,type,
    prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).

thf(func_def_109,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_110,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_111,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_112,type,
    finite_card_set_nat: set_set_nat > nat ).

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

thf(func_def_114,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_115,type,
    finite_finite_int: set_int > $o ).

thf(func_def_116,type,
    finite_finite_list_o: set_list_o > $o ).

thf(func_def_117,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

thf(func_def_118,type,
    finite3922522038869484883st_int: set_list_int > $o ).

thf(func_def_119,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

thf(func_def_120,type,
    finite500796754983035824at_nat: set_li5450038453877631591at_nat > $o ).

thf(func_def_121,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

thf(func_def_122,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_123,type,
    finite_finite_num: set_num > $o ).

thf(func_def_124,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_125,type,
    finite4343798906461161616at_nat: set_Pr4329608150637261639at_nat > $o ).

thf(func_def_126,type,
    finite_finite_rat: set_rat > $o ).

thf(func_def_127,type,
    finite_finite_real: set_real > $o ).

thf(func_def_128,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

thf(func_def_129,type,
    finite6197958912794628473et_int: set_set_int > $o ).

thf(func_def_130,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

thf(func_def_131,type,
    finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).

thf(func_def_132,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

thf(func_def_133,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_134,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

thf(func_def_135,type,
    bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).

thf(func_def_136,type,
    comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_137,type,
    comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_138,type,
    comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).

thf(func_def_139,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

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

thf(func_def_141,type,
    id_nat: nat > nat ).

thf(func_def_142,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_143,type,
    inj_on_real_real: ( real > real ) > set_real > $o ).

thf(func_def_144,type,
    inj_on_set_nat_nat: ( set_nat > nat ) > set_set_nat > $o ).

thf(func_def_145,type,
    map_fu434086159418415080_int_o: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).

thf(func_def_146,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_147,type,
    map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).

thf(func_def_148,type,
    map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).

thf(func_def_149,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_150,type,
    map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).

thf(func_def_151,type,
    strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_152,type,
    the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).

thf(func_def_153,type,
    fun_is_measure_int: ( int > nat ) > $o ).

thf(func_def_154,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_155,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_156,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

thf(func_def_157,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

thf(func_def_158,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

thf(func_def_159,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

thf(func_def_160,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

thf(func_def_161,type,
    gcd_Gcd_int: set_int > int ).

thf(func_def_162,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_163,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_164,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_165,type,
    gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_166,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_167,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_168,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_169,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_170,type,
    abs_abs_complex: complex > complex ).

thf(func_def_171,type,
    abs_abs_int: int > int ).

thf(func_def_172,type,
    abs_abs_rat: rat > rat ).

thf(func_def_173,type,
    abs_abs_real: real > real ).

thf(func_def_174,type,
    minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).

thf(func_def_175,type,
    minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).

thf(func_def_176,type,
    minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).

thf(func_def_177,type,
    minus_2270307095948843157_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_178,type,
    minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).

thf(func_def_179,type,
    minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).

thf(func_def_180,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_181,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_182,type,
    minus_minus_int: int > int > int ).

thf(func_def_183,type,
    minus_minus_nat: nat > nat > nat ).

thf(func_def_184,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_185,type,
    minus_minus_real: real > real > real ).

thf(func_def_186,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_187,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_188,type,
    minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).

thf(func_def_189,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_190,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_191,type,
    minus_3314409938677909166at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_192,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_193,type,
    minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).

thf(func_def_194,type,
    one_one_Code_integer: code_integer ).

thf(func_def_195,type,
    one_one_complex: complex ).

thf(func_def_196,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_197,type,
    one_one_int: int ).

thf(func_def_198,type,
    one_one_nat: nat ).

thf(func_def_199,type,
    one_one_rat: rat ).

thf(func_def_200,type,
    one_one_real: real ).

thf(func_def_201,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_202,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_203,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_204,type,
    plus_plus_int: int > int > int ).

thf(func_def_205,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_206,type,
    plus_plus_num: num > num > num ).

thf(func_def_207,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_208,type,
    plus_plus_real: real > real > real ).

thf(func_def_209,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

thf(func_def_210,type,
    sgn_sgn_complex: complex > complex ).

thf(func_def_211,type,
    sgn_sgn_int: int > int ).

thf(func_def_212,type,
    sgn_sgn_rat: rat > rat ).

thf(func_def_213,type,
    sgn_sgn_real: real > real ).

thf(func_def_214,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_215,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_216,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_217,type,
    times_times_int: int > int > int ).

thf(func_def_218,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_219,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_220,type,
    times_times_real: real > real > real ).

thf(func_def_221,type,
    uminus_uminus_int_o: ( int > $o ) > int > $o ).

thf(func_def_222,type,
    uminus5770388063884162150_nat_o: ( list_nat > $o ) > list_nat > $o ).

thf(func_def_223,type,
    uminus_uminus_nat_o: ( nat > $o ) > nat > $o ).

thf(func_def_224,type,
    uminus8676089048583255045_nat_o: ( product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_225,type,
    uminus_uminus_real_o: ( real > $o ) > real > $o ).

thf(func_def_226,type,
    uminus6401447641752708672_nat_o: ( set_nat > $o ) > set_nat > $o ).

thf(func_def_227,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_228,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_229,type,
    uminus_uminus_int: int > int ).

thf(func_def_230,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_231,type,
    uminus_uminus_real: real > real ).

thf(func_def_232,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_233,type,
    uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).

thf(func_def_234,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

thf(func_def_235,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_236,type,
    uminus935396558254630718at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_237,type,
    uminus612125837232591019t_real: set_real > set_real ).

thf(func_def_238,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

thf(func_def_239,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_240,type,
    zero_zero_complex: complex ).

thf(func_def_241,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_242,type,
    zero_zero_int: int ).

thf(func_def_243,type,
    zero_zero_nat: nat ).

thf(func_def_244,type,
    zero_zero_rat: rat ).

thf(func_def_245,type,
    zero_zero_real: real ).

thf(func_def_246,type,
    groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).

thf(func_def_247,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_248,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_249,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_250,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_251,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_252,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_253,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_254,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_255,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_256,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_257,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_258,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_259,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_260,type,
    groups7108830773950497114d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).

thf(func_def_261,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_262,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_263,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_264,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_265,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_266,type,
    groups3860910324918113789at_nat: ( produc3843707927480180839at_nat > nat ) > set_Pr4329608150637261639at_nat > nat ).

thf(func_def_267,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_268,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_269,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_270,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_271,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_272,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_273,type,
    groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).

thf(func_def_274,type,
    groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).

thf(func_def_275,type,
    groups8682486955453173170nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_276,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_277,type,
    groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_278,type,
    groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_279,type,
    groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_280,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(func_def_281,type,
    groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_282,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(func_def_283,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_284,type,
    groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_285,type,
    groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_286,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(func_def_287,type,
    groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_288,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_289,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_290,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_291,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_292,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(func_def_293,type,
    groups6225526099057966256nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_294,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(func_def_295,type,
    groups4694064378042380927al_int: ( real > int ) > set_real > int ).

thf(func_def_296,type,
    groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_297,type,
    groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_298,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(func_def_299,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_300,type,
    groups9119017779487936845_o_nat: ( $o > nat ) > nat > list_o > nat ).

thf(func_def_301,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_302,type,
    the_int: ( int > $o ) > int ).

thf(func_def_303,type,
    the_real: ( real > $o ) > real ).

thf(func_def_304,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_305,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_306,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_307,type,
    if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).

thf(func_def_308,type,
    if_int: $o > int > int > int ).

thf(func_def_309,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_310,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_311,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_312,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_313,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_314,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_315,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_316,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_317,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_318,type,
    if_real: $o > real > real > real ).

thf(func_def_319,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_320,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_321,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_322,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_323,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_324,type,
    nat2: int > nat ).

thf(func_def_325,type,
    power_int_real: real > int > real ).

thf(func_def_326,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_327,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_328,type,
    ring_1_of_int_int: int > int ).

thf(func_def_329,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_330,type,
    ring_1_of_int_real: int > real ).

thf(func_def_331,type,
    inf_inf_int: int > int > int ).

thf(func_def_332,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_333,type,
    inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_334,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_335,type,
    sup_sup_int: int > int > int ).

thf(func_def_336,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_337,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_338,type,
    sup_su5525570899277871387at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_339,type,
    lattic8263393255366662781ax_int: set_int > int ).

thf(func_def_340,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_341,type,
    lattic5364784637807008409ex_nat: ( complex > nat ) > set_complex > complex ).

thf(func_def_342,type,
    lattic1922116423962787043ex_num: ( complex > num ) > set_complex > complex ).

thf(func_def_343,type,
    lattic4729654577720512673ex_rat: ( complex > rat ) > set_complex > complex ).

thf(func_def_344,type,
    lattic8794016678065449205x_real: ( complex > real ) > set_complex > complex ).

thf(func_def_345,type,
    lattic5003618458639192673nt_num: ( int > num ) > set_int > int ).

thf(func_def_346,type,
    lattic7811156612396918303nt_rat: ( int > rat ) > set_int > int ).

thf(func_def_347,type,
    lattic2675449441010098035t_real: ( int > real ) > set_int > int ).

thf(func_def_348,type,
    lattic4004264746738138117at_num: ( nat > num ) > set_nat > nat ).

thf(func_def_349,type,
    lattic6811802900495863747at_rat: ( nat > rat ) > set_nat > nat ).

thf(func_def_350,type,
    lattic488527866317076247t_real: ( nat > real ) > set_nat > nat ).

thf(func_def_351,type,
    lattic5055836439445974935al_nat: ( real > nat ) > set_real > real ).

thf(func_def_352,type,
    lattic1613168225601753569al_num: ( real > num ) > set_real > real ).

thf(func_def_353,type,
    lattic4420706379359479199al_rat: ( real > rat ) > set_real > real ).

thf(func_def_354,type,
    lattic8440615504127631091l_real: ( real > real ) > set_real > real ).

thf(func_def_355,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_356,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_357,type,
    count_list_o: list_o > $o > nat ).

thf(func_def_358,type,
    count_list_complex: list_complex > complex > nat ).

thf(func_def_359,type,
    count_list_int: list_int > int > nat ).

thf(func_def_360,type,
    count_list_nat: list_nat > nat > nat ).

thf(func_def_361,type,
    count_4203492906077236349at_nat: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_362,type,
    count_list_real: list_real > real > nat ).

thf(func_def_363,type,
    count_list_set_nat: list_set_nat > set_nat > nat ).

thf(func_def_364,type,
    count_list_VEBT_VEBT: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_365,type,
    distinct_int: list_int > $o ).

thf(func_def_366,type,
    distinct_nat: list_nat > $o ).

thf(func_def_367,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_368,type,
    enumerate_o: nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_369,type,
    enumerate_int: nat > list_int > list_P3521021558325789923at_int ).

thf(func_def_370,type,
    enumerate_nat: nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_371,type,
    enumerate_VEBT_VEBT: nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_372,type,
    find_o: ( $o > $o ) > list_o > option_o ).

thf(func_def_373,type,
    find_int: ( int > $o ) > list_int > option_int ).

thf(func_def_374,type,
    find_nat: ( nat > $o ) > list_nat > option_nat ).

thf(func_def_375,type,
    find_num: ( num > $o ) > list_num > option_num ).

thf(func_def_376,type,
    find_P8199882355184865565at_nat: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > option4927543243414619207at_nat ).

thf(func_def_377,type,
    find_real: ( real > $o ) > list_real > option_real ).

thf(func_def_378,type,
    find_set_nat: ( set_nat > $o ) > list_set_nat > option_set_nat ).

thf(func_def_379,type,
    find_VEBT_VEBT: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > option_VEBT_VEBT ).

thf(func_def_380,type,
    gen_length_o: nat > list_o > nat ).

thf(func_def_381,type,
    gen_length_int: nat > list_int > nat ).

thf(func_def_382,type,
    gen_length_nat: nat > list_nat > nat ).

thf(func_def_383,type,
    gen_length_VEBT_VEBT: nat > list_VEBT_VEBT > nat ).

thf(func_def_384,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_385,type,
    cons_int: int > list_int > list_int ).

thf(func_def_386,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_387,type,
    nil_int: list_int ).

thf(func_def_388,type,
    nil_nat: list_nat ).

thf(func_def_389,type,
    hd_nat: list_nat > nat ).

thf(func_def_390,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_391,type,
    set_Co8062243466402858685e_term: list_C878401137130745250e_term > set_Co9149898834107579976e_term ).

thf(func_def_392,type,
    set_in5217446777445088012e_term: list_i8448526496819171953e_term > set_in3461395444621081367e_term ).

thf(func_def_393,type,
    set_Pr8342322266483756581e_term: list_P1316552470764441098e_term > set_Pr7604974323444597168e_term ).

thf(func_def_394,type,
    set_Pr16608062948090134e_term: list_P1743416141875011707e_term > set_Pr3642885161833720865e_term ).

thf(func_def_395,type,
    set_o2: list_o > set_o ).

thf(func_def_396,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_397,type,
    set_int2: list_int > set_int ).

thf(func_def_398,type,
    set_list_nat2: list_list_nat > set_list_nat ).

thf(func_def_399,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_400,type,
    set_num2: list_num > set_num ).

thf(func_def_401,type,
    set_Pr2999063419360598313nteger: list_P5311841565141990158nteger > set_Pr8056137968301705908nteger ).

thf(func_def_402,type,
    set_Pr1633835384712236856nt_int: list_P8915022641806594461nt_int > set_Pr1872883991513573699nt_int ).

thf(func_def_403,type,
    set_Pr2135590979564877377nteger: list_P7828571989066258726nteger > set_Pr1281608226676607948nteger ).

thf(func_def_404,type,
    set_Pr4943052134776177454nt_int: list_P651320350408439699nt_int > set_Pr9222295170931077689nt_int ).

thf(func_def_405,type,
    set_Product_prod_o_o2: list_P4002435161011370285od_o_o > set_Product_prod_o_o ).

thf(func_def_406,type,
    set_Pr2828948584524939422_o_int: list_P3795440434834930179_o_int > set_Pr8834758594704517033_o_int ).

thf(func_def_407,type,
    set_Pr7006799604034136130_o_nat: list_P6285523579766656935_o_nat > set_Pr2101469702781467981_o_nat ).

thf(func_def_408,type,
    set_Pr2600826154070092190o_real: list_P5232166724548748803o_real > set_Pr6573716822653411497o_real ).

thf(func_def_409,type,
    set_Pr655345902815428824T_VEBT: list_P7495141550334521929T_VEBT > set_Pr7543698050874017315T_VEBT ).

thf(func_def_410,type,
    set_Pr920681315882439344nteger: list_P5578671422887162913nteger > set_Pr4811707699266497531nteger ).

thf(func_def_411,type,
    set_Pr2470121279949933262nt_int: list_P5707943133018811711nt_int > set_Pr958786334691620121nt_int ).

thf(func_def_412,type,
    set_Pr112895574167722958t_real: list_P6863124054624500543t_real > set_Pr3538720872664544793t_real ).

thf(func_def_413,type,
    set_Pr8714266321650254504T_VEBT: list_P7524865323317820941T_VEBT > set_Pr8044002425091019955T_VEBT ).

thf(func_def_414,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_415,type,
    set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).

thf(func_def_416,type,
    set_Pr5196769464307566348real_o: list_P3595434254542482545real_o > set_Pr4936984352647145239real_o ).

thf(func_def_417,type,
    set_Pr8219819362198175822al_int: list_P4344331454722006975al_int > set_Pr1019928272762051225al_int ).

thf(func_def_418,type,
    set_Pr3174298344852596722al_nat: list_P6834414599653733731al_nat > set_Pr3510011417693777981al_nat ).

thf(func_def_419,type,
    set_Pr5999470521830281550l_real: list_P8689742595348180415l_real > set_Pr6218003697084177305l_real ).

thf(func_def_420,type,
    set_Pr8897343066327330088T_VEBT: list_P877281246627933069T_VEBT > set_Pr6019664923565264691T_VEBT ).

thf(func_def_421,type,
    set_Pr9040384385603167362et_nat: list_P6254988961118846195et_nat > set_Pr5488025237498180813et_nat ).

thf(func_def_422,type,
    set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_423,type,
    set_Pr7708085864119495200VEBT_o: list_P3126845725202233233VEBT_o > set_Pr3175402225741728619VEBT_o ).

thf(func_def_424,type,
    set_Pr2853735649769556538BT_int: list_P4547456442757143711BT_int > set_Pr5066593544530342725BT_int ).

thf(func_def_425,type,
    set_Pr7031586669278753246BT_nat: list_P7037539587688870467BT_nat > set_Pr7556676689462069481BT_nat ).

thf(func_def_426,type,
    set_Pr1087130671499945274T_real: list_P2623026923184700063T_real > set_Pr7765410600122031685T_real ).

thf(func_def_427,type,
    set_Pr9182192707038809660T_VEBT: list_P7413028617227757229T_VEBT > set_Pr6192946355708809607T_VEBT ).

thf(func_def_428,type,
    set_real2: list_real > set_real ).

thf(func_def_429,type,
    set_set_nat2: list_set_nat > set_set_nat ).

thf(func_def_430,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_431,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_432,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_433,type,
    list_u4743598893156345252e_term: list_C878401137130745250e_term > nat > ( code_integer > option6357759511663192854e_term ) > list_C878401137130745250e_term ).

thf(func_def_434,type,
    list_u8946639151299769843e_term: list_i8448526496819171953e_term > nat > ( int > option6357759511663192854e_term ) > list_i8448526496819171953e_term ).

thf(func_def_435,type,
    list_u877304756163299468e_term: list_P1316552470764441098e_term > nat > ( produc6241069584506657477e_term > option6357759511663192854e_term ) > list_P1316552470764441098e_term ).

thf(func_def_436,type,
    list_u3533491785856317309e_term: list_P1743416141875011707e_term > nat > ( produc8551481072490612790e_term > option6357759511663192854e_term ) > list_P1743416141875011707e_term ).

thf(func_def_437,type,
    list_update_o: list_o > nat > $o > list_o ).

thf(func_def_438,type,
    list_update_int: list_int > nat > int > list_int ).

thf(func_def_439,type,
    list_update_nat: list_nat > nat > nat > list_nat ).

thf(func_def_440,type,
    list_u1133519416628930960nteger: list_P5311841565141990158nteger > nat > produc8763457246119570046nteger > list_P5311841565141990158nteger ).

thf(func_def_441,type,
    list_u4780935413889332127nt_int: list_P8915022641806594461nt_int > nat > produc7773217078559923341nt_int > list_P8915022641806594461nt_int ).

thf(func_def_442,type,
    list_u234853988314817064nteger: list_P7828571989066258726nteger > nat > produc1908205239877642774nteger > list_P7828571989066258726nteger ).

thf(func_def_443,type,
    list_u7736365598306452245nt_int: list_P651320350408439699nt_int > nat > produc2285326912895808259nt_int > list_P651320350408439699nt_int ).

thf(func_def_444,type,
    list_u2254550707601501961nteger: list_P5578671422887162913nteger > nat > produc8923325533196201883nteger > list_P5578671422887162913nteger ).

thf(func_def_445,type,
    list_u3002344382305578791nt_int: list_P5707943133018811711nt_int > nat > product_prod_int_int > list_P5707943133018811711nt_int ).

thf(func_def_446,type,
    list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_447,type,
    list_u4696772448584712917at_nat: list_P5464809261938338413at_nat > nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).

thf(func_def_448,type,
    list_update_real: list_real > nat > real > list_real ).

thf(func_def_449,type,
    list_update_set_nat: list_set_nat > nat > set_nat > list_set_nat ).

thf(func_def_450,type,
    list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_451,type,
    listrel1_o: set_Product_prod_o_o > set_Pr6227168374412355847list_o ).

thf(func_def_452,type,
    listrel1_int: set_Pr958786334691620121nt_int > set_Pr765067013931698361st_int ).

thf(func_def_453,type,
    listrel1_nat: set_Pr1261947904930325089at_nat > set_Pr3451248702717554689st_nat ).

thf(func_def_454,type,
    listrel1_VEBT_VEBT: set_Pr6192946355708809607T_VEBT > set_Pr1916528119006554503T_VEBT ).

thf(func_def_455,type,
    listrel1p_int: ( int > int > $o ) > list_int > list_int > $o ).

thf(func_def_456,type,
    nth_o: list_o > nat > $o ).

thf(func_def_457,type,
    nth_int: list_int > nat > int ).

thf(func_def_458,type,
    nth_list_nat: list_list_nat > nat > list_nat ).

thf(func_def_459,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_460,type,
    nth_num: list_num > nat > num ).

thf(func_def_461,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_462,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_463,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_464,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_465,type,
    nth_Pr112076138515278198_nat_o: list_P7333126701944960589_nat_o > nat > product_prod_nat_o ).

thf(func_def_466,type,
    nth_Pr3440142176431000676at_int: list_P3521021558325789923at_int > nat > product_prod_nat_int ).

thf(func_def_467,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_468,type,
    nth_Pr744662078594809490T_VEBT: list_P5647936690300460905T_VEBT > nat > produc8025551001238799321T_VEBT ).

thf(func_def_469,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_470,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_471,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_472,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_473,type,
    nth_real: list_real > nat > real ).

thf(func_def_474,type,
    nth_set_nat: list_set_nat > nat > set_nat ).

thf(func_def_475,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_476,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_477,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_478,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_479,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_480,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_481,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_482,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_483,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_484,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_485,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_486,type,
    remdups_nat: list_nat > list_nat ).

thf(func_def_487,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_488,type,
    replicate_int: nat > int > list_int ).

thf(func_def_489,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_490,type,
    replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_491,type,
    replic2264142908078655527at_nat: nat > produc3843707927480180839at_nat > list_P5464809261938338413at_nat ).

thf(func_def_492,type,
    replicate_real: nat > real > list_real ).

thf(func_def_493,type,
    replicate_set_nat: nat > set_nat > list_set_nat ).

thf(func_def_494,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_495,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(func_def_496,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_497,type,
    take_nat: nat > list_nat > list_nat ).

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

thf(func_def_499,type,
    upto: int > int > list_int ).

thf(func_def_500,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_501,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_502,type,
    zip_Co8729459035503499408nteger: list_C878401137130745250e_term > list_P5578671422887162913nteger > list_P5311841565141990158nteger ).

thf(func_def_503,type,
    zip_in8766932505889695135nt_int: list_i8448526496819171953e_term > list_P5707943133018811711nt_int > list_P8915022641806594461nt_int ).

thf(func_def_504,type,
    zip_Pr8292346330294042792nteger: list_P1316552470764441098e_term > list_P5578671422887162913nteger > list_P7828571989066258726nteger ).

thf(func_def_505,type,
    zip_Pr4168994715204986005nt_int: list_P1743416141875011707e_term > list_P5707943133018811711nt_int > list_P651320350408439699nt_int ).

thf(func_def_506,type,
    zip_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_507,type,
    zip_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_508,type,
    zip_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_509,type,
    zip_o_real: list_o > list_real > list_P5232166724548748803o_real ).

thf(func_def_510,type,
    zip_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_511,type,
    zip_int_int: list_int > list_int > list_P5707943133018811711nt_int ).

thf(func_def_512,type,
    zip_int_real: list_int > list_real > list_P6863124054624500543t_real ).

thf(func_def_513,type,
    zip_int_VEBT_VEBT: list_int > list_VEBT_VEBT > list_P7524865323317820941T_VEBT ).

thf(func_def_514,type,
    zip_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_515,type,
    zip_nat_nat: list_nat > list_nat > list_P6011104703257516679at_nat ).

thf(func_def_516,type,
    zip_nat_VEBT_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_517,type,
    zip_Pr4664179122662387191at_nat: list_P6011104703257516679at_nat > list_P6011104703257516679at_nat > list_P8469869581646625389at_nat ).

thf(func_def_518,type,
    zip_real_o: list_real > list_o > list_P3595434254542482545real_o ).

thf(func_def_519,type,
    zip_real_int: list_real > list_int > list_P4344331454722006975al_int ).

thf(func_def_520,type,
    zip_real_nat: list_real > list_nat > list_P6834414599653733731al_nat ).

thf(func_def_521,type,
    zip_real_real: list_real > list_real > list_P8689742595348180415l_real ).

thf(func_def_522,type,
    zip_real_VEBT_VEBT: list_real > list_VEBT_VEBT > list_P877281246627933069T_VEBT ).

thf(func_def_523,type,
    zip_set_nat_set_nat: list_set_nat > list_set_nat > list_P6254988961118846195et_nat ).

thf(func_def_524,type,
    zip_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_525,type,
    zip_VEBT_VEBT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_526,type,
    zip_VEBT_VEBT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_527,type,
    zip_VEBT_VEBT_real: list_VEBT_VEBT > list_real > list_P2623026923184700063T_real ).

thf(func_def_528,type,
    zip_VE537291747668921783T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_529,type,
    suc: nat > nat ).

thf(func_def_530,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_531,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_532,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_533,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_534,type,
    pred: nat > nat ).

thf(func_def_535,type,
    semiring_1_Nats_int: set_int ).

thf(func_def_536,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_537,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_538,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_539,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_540,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_541,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_542,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_543,type,
    semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).

thf(func_def_544,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_545,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_546,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(func_def_547,type,
    semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).

thf(func_def_548,type,
    size_size_list_o: list_o > nat ).

thf(func_def_549,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_550,type,
    size_size_list_int: list_int > nat ).

thf(func_def_551,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

thf(func_def_552,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_553,type,
    size_size_list_num: list_num > nat ).

thf(func_def_554,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(func_def_555,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(func_def_556,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(func_def_557,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(func_def_558,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(func_def_559,type,
    size_s2970893825323803983at_int: list_P3521021558325789923at_int > nat ).

thf(func_def_560,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_561,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_562,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(func_def_563,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_564,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_565,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_566,type,
    size_size_list_real: list_real > nat ).

thf(func_def_567,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

thf(func_def_568,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_569,type,
    size_size_num: num > nat ).

thf(func_def_570,type,
    size_size_option_nat: option_nat > nat ).

thf(func_def_571,type,
    size_size_option_num: option_num > nat ).

thf(func_def_572,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_573,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_574,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_575,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_576,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_577,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_578,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(func_def_579,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_580,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_581,type,
    nat_triangle: nat > nat ).

thf(func_def_582,type,
    root: nat > real > real ).

thf(func_def_583,type,
    sqrt: real > real ).

thf(func_def_584,type,
    bitM: num > num ).

thf(func_def_585,type,
    inc: num > num ).

thf(func_def_586,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_587,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_588,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_589,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_590,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_591,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_592,type,
    bit0: num > num ).

thf(func_def_593,type,
    bit1: num > num ).

thf(func_def_594,type,
    one: num ).

thf(func_def_595,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_596,type,
    size_num: num > nat ).

thf(func_def_597,type,
    num_of_nat: nat > num ).

thf(func_def_598,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_599,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_600,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_601,type,
    numeral_numeral_int: num > int ).

thf(func_def_602,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_603,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_604,type,
    numeral_numeral_real: num > real ).

thf(func_def_605,type,
    pred_numeral: num > nat ).

thf(func_def_606,type,
    none_int: option_int ).

thf(func_def_607,type,
    none_nat: option_nat ).

thf(func_def_608,type,
    none_num: option_num ).

thf(func_def_609,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_610,type,
    none_real: option_real ).

thf(func_def_611,type,
    none_set_nat: option_set_nat ).

thf(func_def_612,type,
    none_VEBT_VEBT: option_VEBT_VEBT ).

thf(func_def_613,type,
    some_o: $o > option_o ).

thf(func_def_614,type,
    some_int: int > option_int ).

thf(func_def_615,type,
    some_nat: nat > option_nat ).

thf(func_def_616,type,
    some_num: num > option_num ).

thf(func_def_617,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_618,type,
    some_VEBT_VEBT: vEBT_VEBT > option_VEBT_VEBT ).

thf(func_def_619,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_620,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_621,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_622,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_623,type,
    size_option_nat: ( nat > nat ) > option_nat > nat ).

thf(func_def_624,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_625,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_626,type,
    the_nat: option_nat > nat ).

thf(func_def_627,type,
    the_num: option_num > num ).

thf(func_def_628,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_629,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).

thf(func_def_630,type,
    bot_bo5358457235160185703eger_o: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_631,type,
    bot_bo1403522918969695512_int_o: ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_632,type,
    bot_bo3000040243691356879eger_o: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ).

thf(func_def_633,type,
    bot_bo8662317086119403298_int_o: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ).

thf(func_def_634,type,
    bot_bot_int_int_o: int > int > $o ).

thf(func_def_635,type,
    bot_bot_int_o: int > $o ).

thf(func_def_636,type,
    bot_bot_list_nat_o: list_nat > $o ).

thf(func_def_637,type,
    bot_bot_nat_nat_o: nat > nat > $o ).

thf(func_def_638,type,
    bot_bot_nat_o: nat > $o ).

thf(func_def_639,type,
    bot_bo482883023278783056_nat_o: product_prod_nat_nat > $o ).

thf(func_def_640,type,
    bot_bot_real_o: real > $o ).

thf(func_def_641,type,
    bot_bot_set_nat_o: set_nat > $o ).

thf(func_def_642,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_643,type,
    bot_bot_filter_nat: filter_nat ).

thf(func_def_644,type,
    bot_bot_nat: nat ).

thf(func_def_645,type,
    bot_bot_set_complex: set_complex ).

thf(func_def_646,type,
    bot_bot_set_int: set_int ).

thf(func_def_647,type,
    bot_bot_set_list_nat: set_list_nat ).

thf(func_def_648,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_649,type,
    bot_bot_set_num: set_num ).

thf(func_def_650,type,
    bot_bo3145834390647256904nteger: set_Pr8056137968301705908nteger ).

thf(func_def_651,type,
    bot_bo4508923176915781079nt_int: set_Pr1872883991513573699nt_int ).

thf(func_def_652,type,
    bot_bo5443222936135328352nteger: set_Pr1281608226676607948nteger ).

thf(func_def_653,type,
    bot_bo572930865798478029nt_int: set_Pr9222295170931077689nt_int ).

thf(func_def_654,type,
    bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).

thf(func_def_655,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_656,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

thf(func_def_657,type,
    bot_bot_set_rat: set_rat ).

thf(func_def_658,type,
    bot_bot_set_real: set_real ).

thf(func_def_659,type,
    bot_bot_set_set_int: set_set_int ).

thf(func_def_660,type,
    bot_bot_set_set_nat: set_set_nat ).

thf(func_def_661,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

thf(func_def_662,type,
    ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_663,type,
    ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_664,type,
    ord_le549003669493604880_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_665,type,
    ord_less_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_666,type,
    ord_less_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_667,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_668,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_669,type,
    ord_less_int: int > int > $o ).

thf(func_def_670,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_671,type,
    ord_less_num: num > num > $o ).

thf(func_def_672,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_673,type,
    ord_less_real: real > real > $o ).

thf(func_def_674,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_675,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_676,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_677,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_678,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_679,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_680,type,
    ord_le2604355607129572851at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_681,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_682,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_683,type,
    ord_less_set_set_int: set_set_int > set_set_int > $o ).

thf(func_def_684,type,
    ord_less_set_set_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_685,type,
    ord_le3636971675376928563eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).

thf(func_def_686,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_687,type,
    ord_le4340812435750786203eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > $o ).

thf(func_def_688,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_689,type,
    ord_le6741204236512500942_int_o: ( int > int > $o ) > ( int > int > $o ) > $o ).

thf(func_def_690,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

thf(func_def_691,type,
    ord_le2646555220125990790_nat_o: ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_692,type,
    ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).

thf(func_def_693,type,
    ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_694,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_695,type,
    ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).

thf(func_def_696,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_697,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_698,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_699,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_700,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_701,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_702,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_703,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_704,type,
    ord_less_eq_set_o: set_o > set_o > $o ).

thf(func_def_705,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_706,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_707,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_708,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_709,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_710,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_711,type,
    ord_le3216752416896350996nteger: set_Pr8056137968301705908nteger > set_Pr8056137968301705908nteger > $o ).

thf(func_def_712,type,
    ord_le135402666524580259nt_int: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_713,type,
    ord_le653643898420964396nteger: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_714,type,
    ord_le8725513860283290265nt_int: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_715,type,
    ord_le2843351958646193337nt_int: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_716,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_717,type,
    ord_le1268244103169919719at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_718,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_719,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_720,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(func_def_721,type,
    ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).

thf(func_def_722,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_723,type,
    ord_max_int: int > int > int ).

thf(func_def_724,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_725,type,
    ord_min_int: int > int > int ).

thf(func_def_726,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_727,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_728,type,
    order_mono_nat_nat: ( nat > nat ) > $o ).

thf(func_def_729,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_730,type,
    order_7092887310737990675l_real: ( real > real ) > $o ).

thf(func_def_731,type,
    top_top_set_int: set_int ).

thf(func_def_732,type,
    top_top_set_nat: set_nat ).

thf(func_def_733,type,
    top_top_set_real: set_real ).

thf(func_def_734,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_735,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_736,type,
    power_8040749407984259932d_enat: extended_enat > nat > extended_enat ).

thf(func_def_737,type,
    power_power_int: int > nat > int ).

thf(func_def_738,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_739,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_740,type,
    power_power_real: real > nat > real ).

thf(func_def_741,type,
    produc6137756002093451184nteger: ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ).

thf(func_def_742,type,
    produc4305682042979456191nt_int: ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ).

thf(func_def_743,type,
    produc4035269172776083154on_nat: ( nat > nat > $o ) > produc4953844613479565601on_nat > produc2233624965454879586on_nat ).

thf(func_def_744,type,
    produc8929957630744042906on_nat: ( nat > nat > nat ) > produc4953844613479565601on_nat > produc8306885398267862888on_nat ).

thf(func_def_745,type,
    produc3576312749637752826on_num: ( num > num > $o ) > produc3447558737645232053on_num > produc7036089656553540234on_num ).

thf(func_def_746,type,
    produc5778274026573060048on_num: ( num > num > num ) > produc3447558737645232053on_num > produc1193250871479095198on_num ).

thf(func_def_747,type,
    produc8603105652947943368nteger: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ).

thf(func_def_748,type,
    produc5700946648718959541nt_int: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ).

thf(func_def_749,type,
    produc3994169339658061776at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > produc6121120109295599847at_nat > produc5491161045314408544at_nat ).

thf(func_def_750,type,
    produc2899441246263362727at_nat: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > produc6121120109295599847at_nat > produc5542196010084753463at_nat ).

thf(func_def_751,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_752,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_753,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_754,type,
    product_Pair_o_real: $o > real > product_prod_o_real ).

thf(func_def_755,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_756,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_757,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_758,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_759,type,
    produc801115645435158769t_real: int > real > produc679980390762269497t_real ).

thf(func_def_760,type,
    produc3329399203697025711T_VEBT: int > vEBT_VEBT > produc1531783533982839933T_VEBT ).

thf(func_def_761,type,
    produc8435520187683070743list_o: list_o > list_o > produc7102631898165422375list_o ).

thf(func_def_762,type,
    produc364263696895485585st_int: list_int > list_int > produc1186641810826059865st_int ).

thf(func_def_763,type,
    produc2694037385005941721st_nat: list_nat > list_nat > produc1828647624359046049st_nat ).

thf(func_def_764,type,
    produc3897820843166775703T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > produc9211091688327510695T_VEBT ).

thf(func_def_765,type,
    product_Pair_nat_o: nat > $o > product_prod_nat_o ).

thf(func_def_766,type,
    product_Pair_nat_int: nat > int > product_prod_nat_int ).

thf(func_def_767,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_768,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_769,type,
    produc599794634098209291T_VEBT: nat > vEBT_VEBT > produc8025551001238799321T_VEBT ).

thf(func_def_770,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_771,type,
    produc5098337634421038937on_nat: option_nat > option_nat > produc4953844613479565601on_nat ).

thf(func_def_772,type,
    produc8585076106096196333on_num: option_num > option_num > produc3447558737645232053on_num ).

thf(func_def_773,type,
    produc488173922507101015at_nat: option4927543243414619207at_nat > option4927543243414619207at_nat > produc6121120109295599847at_nat ).

thf(func_def_774,type,
    produc6161850002892822231at_nat: product_prod_nat_nat > product_prod_nat_nat > produc859450856879609959at_nat ).

thf(func_def_775,type,
    product_Pair_real_o: real > $o > product_prod_real_o ).

thf(func_def_776,type,
    produc3179012173361985393al_int: real > int > produc8786904178792722361al_int ).

thf(func_def_777,type,
    produc3181502643871035669al_nat: real > nat > produc3741383161447143261al_nat ).

thf(func_def_778,type,
    produc4511245868158468465l_real: real > real > produc2422161461964618553l_real ).

thf(func_def_779,type,
    produc6931449550656315951T_VEBT: real > vEBT_VEBT > produc3757001726724277373T_VEBT ).

thf(func_def_780,type,
    produc4532415448927165861et_nat: set_nat > set_nat > produc7819656566062154093et_nat ).

thf(func_def_781,type,
    produc2922128104949294807at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > produc3843707927480180839at_nat ).

thf(func_def_782,type,
    produc9060074326276436823at_nat: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat > produc1319942482725812455at_nat ).

thf(func_def_783,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_784,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_785,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_786,type,
    produc8117437818029410057T_real: vEBT_VEBT > real > produc5170161368751668367T_real ).

thf(func_def_787,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_788,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_789,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_790,type,
    produc127349428274296955eger_o: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > $o ).

thf(func_def_791,type,
    produc3906647086178084059nteger: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc8763457246119570046nteger ) > produc8763457246119570046nteger > produc8763457246119570046nteger ).

thf(func_def_792,type,
    produc8604463032469472703et_int: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > produc8763457246119570046nteger > set_int ).

thf(func_def_793,type,
    produc3558942015123893603et_nat: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > produc8763457246119570046nteger > set_nat ).

thf(func_def_794,type,
    produc815715089573277247t_real: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > produc8763457246119570046nteger > set_real ).

thf(func_def_795,type,
    produc2558449545302689196_int_o: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > $o ).

thf(func_def_796,type,
    produc5122537100556696953nt_int: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > produc7773217078559923341nt_int ) > produc7773217078559923341nt_int > produc7773217078559923341nt_int ).

thf(func_def_797,type,
    produc8289552606927098482et_nat: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > produc7773217078559923341nt_int > set_nat ).

thf(func_def_798,type,
    produc8709739885379107790t_real: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > produc7773217078559923341nt_int > set_real ).

thf(func_def_799,type,
    produc6253627499356882019eger_o: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > $o ).

thf(func_def_800,type,
    produc6512950862096126219nteger: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > produc1908205239877642774nteger ) > produc1908205239877642774nteger > produc1908205239877642774nteger ).

thf(func_def_801,type,
    produc1573362020775583542_int_o: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > $o ).

thf(func_def_802,type,
    produc8492565224438309093nt_int: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > produc2285326912895808259nt_int ) > produc2285326912895808259nt_int > produc2285326912895808259nt_int ).

thf(func_def_803,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_804,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_805,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_806,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_807,type,
    produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).

thf(func_def_808,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_809,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_810,type,
    produc73460835934605544et_int: ( int > int > set_int ) > product_prod_int_int > set_int ).

thf(func_def_811,type,
    produc4251311855443802252et_nat: ( int > int > set_nat ) > product_prod_int_int > set_nat ).

thf(func_def_812,type,
    produc1656060378719767003at_nat: ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_int_int > set_Pr1261947904930325089at_nat ).

thf(func_def_813,type,
    produc6452406959799940328t_real: ( int > int > set_real ) > product_prod_int_int > set_real ).

thf(func_def_814,type,
    produc5233655623923918146et_nat: ( int > int > set_set_nat ) > product_prod_int_int > set_set_nat ).

thf(func_def_815,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_816,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_817,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_818,type,
    produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).

thf(func_def_819,type,
    produc2676513652042109336d_enat: ( nat > nat > extended_enat ) > product_prod_nat_nat > extended_enat ).

thf(func_def_820,type,
    produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).

thf(func_def_821,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_822,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_823,type,
    produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).

thf(func_def_824,type,
    produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).

thf(func_def_825,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_826,type,
    produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).

thf(func_def_827,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_828,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_829,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_830,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_831,type,
    fract: int > int > rat ).

thf(func_def_832,type,
    frct: product_prod_int_int > rat ).

thf(func_def_833,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_834,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_835,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_836,type,
    of_int: int > rat ).

thf(func_def_837,type,
    positive: rat > $o ).

thf(func_def_838,type,
    quotient_of: rat > product_prod_int_int ).

thf(func_def_839,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_840,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_841,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_842,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_843,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_844,type,
    real_V1803761363581548252l_real: real > real ).

thf(func_def_845,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

thf(func_def_846,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_847,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_848,type,
    divide_divide_int: int > int > int ).

thf(func_def_849,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_850,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_851,type,
    divide_divide_real: real > real > real ).

thf(func_def_852,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_853,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_854,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_855,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_856,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_857,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_858,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_859,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_860,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_861,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_862,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_863,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_864,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_865,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_866,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_867,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_868,type,
    suminf_int: ( nat > int ) > int ).

thf(func_def_869,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(func_def_870,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_871,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_872,type,
    summable_int: ( nat > int ) > $o ).

thf(func_def_873,type,
    summable_nat: ( nat > nat ) > $o ).

thf(func_def_874,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_875,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(func_def_876,type,
    sums_int: ( nat > int ) > int > $o ).

thf(func_def_877,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(func_def_878,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_879,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_880,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_881,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_882,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_883,type,
    collect_list_o: ( list_o > $o ) > set_list_o ).

thf(func_def_884,type,
    collect_list_complex: ( list_complex > $o ) > set_list_complex ).

thf(func_def_885,type,
    collect_list_int: ( list_int > $o ) > set_list_int ).

thf(func_def_886,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_887,type,
    collec3343600615725829874at_nat: ( list_P6011104703257516679at_nat > $o ) > set_li5450038453877631591at_nat ).

thf(func_def_888,type,
    collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).

thf(func_def_889,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_890,type,
    collect_num: ( num > $o ) > set_num ).

thf(func_def_891,type,
    collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).

thf(func_def_892,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_893,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_894,type,
    collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).

thf(func_def_895,type,
    collec6321179662152712658at_nat: ( produc3843707927480180839at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_896,type,
    collect_rat: ( rat > $o ) > set_rat ).

thf(func_def_897,type,
    collect_real: ( real > $o ) > set_real ).

thf(func_def_898,type,
    collect_set_complex: ( set_complex > $o ) > set_set_complex ).

thf(func_def_899,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_900,type,
    collect_set_nat: ( set_nat > $o ) > set_set_nat ).

thf(func_def_901,type,
    collec5514110066124741708at_nat: ( set_Pr1261947904930325089at_nat > $o ) > set_se7855581050983116737at_nat ).

thf(func_def_902,type,
    collect_VEBT_VEBT: ( vEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_903,type,
    pow_nat: set_nat > set_set_nat ).

thf(func_def_904,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_905,type,
    image_int_nat: ( int > nat ) > set_int > set_nat ).

thf(func_def_906,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(func_def_907,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_908,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_909,type,
    image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).

thf(func_def_910,type,
    image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).

thf(func_def_911,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_912,type,
    insert_complex: complex > set_complex > set_complex ).

thf(func_def_913,type,
    insert_int: int > set_int > set_int ).

thf(func_def_914,type,
    insert_list_nat: list_nat > set_list_nat > set_list_nat ).

thf(func_def_915,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_916,type,
    insert_num: num > set_num > set_num ).

thf(func_def_917,type,
    insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_918,type,
    insert9069300056098147895at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_919,type,
    insert_rat: rat > set_rat > set_rat ).

thf(func_def_920,type,
    insert_real: real > set_real > set_real ).

thf(func_def_921,type,
    insert_set_nat: set_nat > set_set_nat > set_set_nat ).

thf(func_def_922,type,
    insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_923,type,
    the_elem_int: set_int > int ).

thf(func_def_924,type,
    the_elem_nat: set_nat > nat ).

thf(func_def_925,type,
    the_el2281957884133575798at_nat: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_926,type,
    the_el221668144340439132at_nat: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_927,type,
    the_elem_real: set_real > real ).

thf(func_def_928,type,
    vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_929,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_930,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_931,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_932,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_933,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_934,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_935,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_936,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_937,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_938,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_939,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_940,type,
    set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).

thf(func_def_941,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_942,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_943,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_944,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_945,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_946,type,
    set_ord_atMost_num: num > set_num ).

thf(func_def_947,type,
    set_ord_atMost_rat: rat > set_rat ).

thf(func_def_948,type,
    set_ord_atMost_real: real > set_real ).

thf(func_def_949,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

thf(func_def_950,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

thf(func_def_951,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_952,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_953,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_954,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_955,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_956,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_957,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_958,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_959,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_960,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_961,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_962,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_963,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

thf(func_def_964,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_965,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_966,type,
    topolo4899668324122417113eq_int: ( nat > int ) > $o ).

thf(func_def_967,type,
    topolo4902158794631467389eq_nat: ( nat > nat ) > $o ).

thf(func_def_968,type,
    topolo1459490580787246023eq_num: ( nat > num ) > $o ).

thf(func_def_969,type,
    topolo4267028734544971653eq_rat: ( nat > rat ) > $o ).

thf(func_def_970,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_971,type,
    topolo3100542954746470799et_int: ( nat > set_int ) > $o ).

thf(func_def_972,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_973,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_974,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_975,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

thf(func_def_976,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

thf(func_def_977,type,
    arccos: real > real ).

thf(func_def_978,type,
    arcosh_real: real > real ).

thf(func_def_979,type,
    arcsin: real > real ).

thf(func_def_980,type,
    arctan: real > real ).

thf(func_def_981,type,
    arsinh_real: real > real ).

thf(func_def_982,type,
    artanh_real: real > real ).

thf(func_def_983,type,
    cos_complex: complex > complex ).

thf(func_def_984,type,
    cos_real: real > real ).

thf(func_def_985,type,
    cos_coeff: nat > real ).

thf(func_def_986,type,
    cosh_real: real > real ).

thf(func_def_987,type,
    cot_real: real > real ).

thf(func_def_988,type,
    diffs_complex: ( nat > complex ) > nat > complex ).

thf(func_def_989,type,
    diffs_int: ( nat > int ) > nat > int ).

thf(func_def_990,type,
    diffs_rat: ( nat > rat ) > nat > rat ).

thf(func_def_991,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(func_def_992,type,
    exp_complex: complex > complex ).

thf(func_def_993,type,
    exp_real: real > real ).

thf(func_def_994,type,
    ln_ln_real: real > real ).

thf(func_def_995,type,
    log: real > real > real ).

thf(func_def_996,type,
    pi: real ).

thf(func_def_997,type,
    powr_real: real > real > real ).

thf(func_def_998,type,
    sin_complex: complex > complex ).

thf(func_def_999,type,
    sin_real: real > real ).

thf(func_def_1000,type,
    sin_coeff: nat > real ).

thf(func_def_1001,type,
    sinh_real: real > real ).

thf(func_def_1002,type,
    tan_complex: complex > complex ).

thf(func_def_1003,type,
    tan_real: real > real ).

thf(func_def_1004,type,
    tanh_complex: complex > complex ).

thf(func_def_1005,type,
    tanh_real: real > real ).

thf(func_def_1006,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1007,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_1008,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_1009,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1010,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_1011,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_1012,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_1013,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_1014,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_1015,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_1016,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1017,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_1018,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1019,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_1020,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1021,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_1022,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1023,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_1024,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_1025,type,
    vEBT_VEBT_bit_concat: nat > nat > nat > nat ).

thf(func_def_1026,type,
    vEBT_VEBT_minNull: vEBT_VEBT > $o ).

thf(func_def_1027,type,
    vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1028,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_1029,type,
    vEBT_vebt_member: vEBT_VEBT > nat > $o ).

thf(func_def_1030,type,
    vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_1031,type,
    vEBT_VEBT_add: option_nat > option_nat > option_nat ).

thf(func_def_1032,type,
    vEBT_VEBT_greater: option_nat > option_nat > $o ).

thf(func_def_1033,type,
    vEBT_VEBT_less: option_nat > option_nat > $o ).

thf(func_def_1034,type,
    vEBT_VEBT_lesseq: option_nat > option_nat > $o ).

thf(func_def_1035,type,
    vEBT_VEBT_max_in_set: set_nat > nat > $o ).

thf(func_def_1036,type,
    vEBT_VEBT_min_in_set: set_nat > nat > $o ).

thf(func_def_1037,type,
    vEBT_VEBT_mul: option_nat > option_nat > option_nat ).

thf(func_def_1038,type,
    vEBT_V4262088993061758097ft_nat: ( nat > nat > nat ) > option_nat > option_nat > option_nat ).

thf(func_def_1039,type,
    vEBT_V819420779217536731ft_num: ( num > num > num ) > option_num > option_num > option_num ).

thf(func_def_1040,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_1041,type,
    vEBT_VEBT_power: option_nat > option_nat > option_nat ).

thf(func_def_1042,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

thf(func_def_1043,type,
    vEBT_vebt_maxt_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1044,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(func_def_1045,type,
    vEBT_vebt_mint_rel: vEBT_VEBT > vEBT_VEBT > $o ).

thf(func_def_1046,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_1047,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_1048,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_1049,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_1050,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_1051,type,
    accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).

thf(func_def_1052,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1053,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_1054,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_1055,type,
    wf_int: set_Pr958786334691620121nt_int > $o ).

thf(func_def_1056,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1057,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_1058,type,
    member1535805642427569193e_term: ( code_integer > option6357759511663192854e_term ) > set_Co9149898834107579976e_term > $o ).

thf(func_def_1059,type,
    member8845023287901829240e_term: ( int > option6357759511663192854e_term ) > set_in3461395444621081367e_term > $o ).

thf(func_def_1060,type,
    member4242434998011752849e_term: ( produc6241069584506657477e_term > option6357759511663192854e_term ) > set_Pr7604974323444597168e_term > $o ).

thf(func_def_1061,type,
    member3222579708246209666e_term: ( produc8551481072490612790e_term > option6357759511663192854e_term ) > set_Pr3642885161833720865e_term > $o ).

thf(func_def_1062,type,
    member_o: $o > set_o > $o ).

thf(func_def_1063,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_1064,type,
    member_int: int > set_int > $o ).

thf(func_def_1065,type,
    member_list_o: list_o > set_list_o > $o ).

thf(func_def_1066,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_1067,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_1068,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_1069,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_1070,type,
    member_num: num > set_num > $o ).

thf(func_def_1071,type,
    member3068662437193594005nteger: produc8763457246119570046nteger > set_Pr8056137968301705908nteger > $o ).

thf(func_def_1072,type,
    member7034335876925520548nt_int: produc7773217078559923341nt_int > set_Pr1872883991513573699nt_int > $o ).

thf(func_def_1073,type,
    member4164122664394876845nteger: produc1908205239877642774nteger > set_Pr1281608226676607948nteger > $o ).

thf(func_def_1074,type,
    member7618704894036264090nt_int: produc2285326912895808259nt_int > set_Pr9222295170931077689nt_int > $o ).

thf(func_def_1075,type,
    member7466972457876170832od_o_o: product_prod_o_o > set_Product_prod_o_o > $o ).

thf(func_def_1076,type,
    member7847949116333733898_o_int: product_prod_o_int > set_Pr8834758594704517033_o_int > $o ).

thf(func_def_1077,type,
    member2802428098988154798_o_nat: product_prod_o_nat > set_Pr2101469702781467981_o_nat > $o ).

thf(func_def_1078,type,
    member7400031367953476362o_real: product_prod_o_real > set_Pr6573716822653411497o_real > $o ).

thf(func_def_1079,type,
    member5477980866518848620T_VEBT: produc2504756804600209347T_VEBT > set_Pr7543698050874017315T_VEBT > $o ).

thf(func_def_1080,type,
    member157494554546826820nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > $o ).

thf(func_def_1081,type,
    member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).

thf(func_def_1082,type,
    member2744130022092475746t_real: produc679980390762269497t_real > set_Pr3538720872664544793t_real > $o ).

thf(func_def_1083,type,
    member2056185340421749780T_VEBT: produc1531783533982839933T_VEBT > set_Pr8044002425091019955T_VEBT > $o ).

thf(func_def_1084,type,
    member4159035015898711888list_o: produc7102631898165422375list_o > set_Pr6227168374412355847list_o > $o ).

thf(func_def_1085,type,
    member6698963635872716290st_int: produc1186641810826059865st_int > set_Pr765067013931698361st_int > $o ).

thf(func_def_1086,type,
    member7340969449405702474st_nat: produc1828647624359046049st_nat > set_Pr3451248702717554689st_nat > $o ).

thf(func_def_1087,type,
    member4439316823752958928T_VEBT: produc9211091688327510695T_VEBT > set_Pr1916528119006554503T_VEBT > $o ).

thf(func_def_1088,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_1089,type,
    member8206827879206165904at_nat: produc859450856879609959at_nat > set_Pr8693737435421807431at_nat > $o ).

thf(func_def_1090,type,
    member772602641336174712real_o: product_prod_real_o > set_Pr4936984352647145239real_o > $o ).

thf(func_def_1091,type,
    member1627681773268152802al_int: produc8786904178792722361al_int > set_Pr1019928272762051225al_int > $o ).

thf(func_def_1092,type,
    member5805532792777349510al_nat: produc3741383161447143261al_nat > set_Pr3510011417693777981al_nat > $o ).

thf(func_def_1093,type,
    member7849222048561428706l_real: produc2422161461964618553l_real > set_Pr6218003697084177305l_real > $o ).

thf(func_def_1094,type,
    member7262085504369356948T_VEBT: produc3757001726724277373T_VEBT > set_Pr6019664923565264691T_VEBT > $o ).

thf(func_def_1095,type,
    member8277197624267554838et_nat: produc7819656566062154093et_nat > set_Pr5488025237498180813et_nat > $o ).

thf(func_def_1096,type,
    member8757157785044589968at_nat: produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > $o ).

thf(func_def_1097,type,
    member3307348790968139188VEBT_o: produc334124729049499915VEBT_o > set_Pr3175402225741728619VEBT_o > $o ).

thf(func_def_1098,type,
    member5419026705395827622BT_int: produc4894624898956917775BT_int > set_Pr5066593544530342725BT_int > $o ).

thf(func_def_1099,type,
    member373505688050248522BT_nat: produc9072475918466114483BT_nat > set_Pr7556676689462069481BT_nat > $o ).

thf(func_def_1100,type,
    member8675245146396747942T_real: produc5170161368751668367T_real > set_Pr7765410600122031685T_real > $o ).

thf(func_def_1101,type,
    member568628332442017744T_VEBT: produc8243902056947475879T_VEBT > set_Pr6192946355708809607T_VEBT > $o ).

thf(func_def_1102,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_1103,type,
    member_real: real > set_real > $o ).

thf(func_def_1104,type,
    member_set_int: set_int > set_set_int > $o ).

thf(func_def_1105,type,
    member_set_nat: set_nat > set_set_nat > $o ).

thf(func_def_1106,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_1107,type,
    deg: nat ).

thf(func_def_1108,type,
    m: nat ).

thf(func_def_1109,type,
    ma: nat ).

thf(func_def_1110,type,
    maxs: nat ).

thf(func_def_1111,type,
    mi: nat ).

thf(func_def_1112,type,
    n: nat ).

thf(func_def_1113,type,
    summary: vEBT_VEBT ).

thf(func_def_1114,type,
    thesis: $o ).

thf(func_def_1115,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_1119,type,
    vOR: $o > $o > $o ).

thf(func_def_1120,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_1121,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_1122,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_1123,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_1124,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_1125,type,
    vAND: $o > $o > $o ).

thf(func_def_1126,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1127,type,
    vIMP: $o > $o > $o ).

thf(func_def_1128,type,
    vNOT: $o > $o ).

thf(func_def_1129,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_1130,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_1131,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_1132,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_1133,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_1134,type,
    sP0: rat > rat > rat > $o ).

thf(func_def_1135,type,
    sP1: rat > rat > rat > $o ).

thf(func_def_1136,type,
    sP2: rat > rat > rat > $o ).

thf(func_def_1137,type,
    sP3: num > num > num > $o ).

thf(func_def_1138,type,
    sP4: num > num > num > $o ).

thf(func_def_1139,type,
    sP5: num > num > num > $o ).

thf(func_def_1140,type,
    sP6: nat > nat > nat > $o ).

thf(func_def_1141,type,
    sP7: nat > nat > nat > $o ).

thf(func_def_1142,type,
    sP8: nat > nat > nat > $o ).

thf(func_def_1143,type,
    sP9: int > int > int > $o ).

thf(func_def_1144,type,
    sP10: int > int > int > $o ).

thf(func_def_1145,type,
    sP11: int > int > int > $o ).

thf(func_def_1146,type,
    sP12: ( option_nat > option_nat > $o ) > option_nat > option_nat > $o ).

thf(func_def_1147,type,
    sP13: ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > option4927543243414619207at_nat > $o ).

thf(func_def_1148,type,
    sP14: ( option_nat > option_num > $o ) > option_nat > option_num > $o ).

thf(func_def_1149,type,
    sP15: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > $o ).

thf(func_def_1150,type,
    sP16: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > $o ).

thf(func_def_1151,type,
    sP17: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > $o ).

thf(func_def_1152,type,
    sP18: ( option_num > option_nat > $o ) > option_num > option_nat > $o ).

thf(func_def_1153,type,
    sP19: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > $o ).

thf(func_def_1154,type,
    sP20: ( option_num > option_num > $o ) > option_num > option_num > $o ).

thf(func_def_1155,type,
    sP21: option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat > $o ).

thf(func_def_1156,type,
    sP22: option_num > option_num > option_num > $o ).

thf(func_def_1157,type,
    sP23: option_nat > option_nat > option_nat > $o ).

thf(func_def_1158,type,
    sP24: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1159,type,
    sP25: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1160,type,
    sP26: vEBT_VEBT > nat > $o ).

thf(func_def_1161,type,
    sP27: vEBT_VEBT > nat > $o ).

thf(func_def_1162,type,
    sP28: vEBT_VEBT > nat > $o ).

thf(func_def_1163,type,
    sP29: vEBT_VEBT > nat > $o ).

thf(func_def_1164,type,
    sP30: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1165,type,
    sP31: nat > nat > list_VEBT_VEBT > $o ).

thf(func_def_1166,type,
    sP32: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_1167,type,
    sP33: nat > nat > list_VEBT_VEBT > $o ).

thf(func_def_1168,type,
    sP34: vEBT_VEBT > $o > $o ).

thf(func_def_1169,type,
    sP35: vEBT_VEBT > $o > $o ).

thf(func_def_1170,type,
    sP36: vEBT_VEBT > option_nat > $o ).

thf(func_def_1171,type,
    sP37: vEBT_VEBT > option_nat > $o ).

thf(func_def_1172,type,
    sP38: int > ( int > $o ) > $o ).

thf(func_def_1173,type,
    sP39: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > $o ).

thf(func_def_1174,type,
    sP40: set_set_nat > ( set_set_nat > $o ) > $o ).

thf(func_def_1175,type,
    sP41: set_complex > ( set_complex > $o ) > $o ).

thf(func_def_1176,type,
    sP42: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > $o ).

thf(func_def_1177,type,
    sP43: set_real > ( set_real > $o ) > $o ).

thf(func_def_1178,type,
    sP44: set_nat > ( set_nat > $o ) > $o ).

thf(func_def_1179,type,
    sP45: set_int > ( set_int > $o ) > $o ).

thf(func_def_1180,type,
    sP46: real > real > ( real > real > $o ) > $o ).

thf(func_def_1181,type,
    sP47: vEBT_VEBT > nat > $o > $o ).

thf(func_def_1182,type,
    sP48: vEBT_VEBT > $o > $o ).

thf(func_def_1183,type,
    sP49: nat > vEBT_VEBT > $o ).

thf(func_def_1184,type,
    sP50: vEBT_VEBT > nat > $o ).

thf(func_def_1185,type,
    sP51: vEBT_VEBT > nat > $o ).

thf(func_def_1186,type,
    sP52: vEBT_VEBT > nat > $o ).

thf(func_def_1187,type,
    sP53: vEBT_VEBT > nat > $o ).

thf(func_def_1188,type,
    sP54: vEBT_VEBT > nat > $o ).

thf(func_def_1189,type,
    sP55: vEBT_VEBT > nat > $o ).

thf(func_def_1190,type,
    sP56: vEBT_VEBT > $o > $o ).

thf(func_def_1191,type,
    sP57: vEBT_VEBT > $o > $o ).

thf(func_def_1192,type,
    sP58: vEBT_VEBT > nat > $o ).

thf(func_def_1193,type,
    sP59: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1194,type,
    sP60: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1195,type,
    sP61: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1196,type,
    sP62: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1197,type,
    sP63: vEBT_VEBT > nat > $o ).

thf(func_def_1198,type,
    sP64: vEBT_VEBT > nat > $o ).

thf(func_def_1199,type,
    sP65: vEBT_VEBT > nat > $o ).

thf(func_def_1200,type,
    sP66: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1201,type,
    sP67: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1202,type,
    sP68: vEBT_VEBT > nat > $o ).

thf(func_def_1203,type,
    sP69: vEBT_VEBT > nat > $o ).

thf(func_def_1204,type,
    sP70: vEBT_VEBT > nat > $o ).

thf(func_def_1205,type,
    sP71: vEBT_VEBT > nat > $o ).

thf(func_def_1206,type,
    sP72: vEBT_VEBT > nat > $o ).

thf(func_def_1207,type,
    sP73: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1208,type,
    sP74: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1209,type,
    sP75: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1210,type,
    sP76: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1211,type,
    sP77: vEBT_VEBT > nat > $o ).

thf(func_def_1212,type,
    sP78: vEBT_VEBT > nat > $o ).

thf(func_def_1213,type,
    sP79: nat > vEBT_VEBT > $o ).

thf(func_def_1214,type,
    sP80: nat > vEBT_VEBT > $o ).

thf(func_def_1215,type,
    sP81: set_real > set_real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1216,type,
    sP82: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1217,type,
    sP83: set_real > set_real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1218,type,
    sP84: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1219,type,
    sP85: set_real > set_real > ( int > real ) > ( real > int ) > $o ).

thf(func_def_1220,type,
    sP86: set_real > set_real > ( real > int ) > set_int > set_int > $o ).

thf(func_def_1221,type,
    sP87: set_int > set_int > ( real > int ) > ( int > real ) > $o ).

thf(func_def_1222,type,
    sP88: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1223,type,
    sP89: set_int > set_int > ( real > int ) > ( int > real ) > $o ).

thf(func_def_1224,type,
    sP90: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1225,type,
    sP91: set_real > set_real > ( int > real ) > ( real > int ) > $o ).

thf(func_def_1226,type,
    sP92: set_real > set_real > ( real > int ) > set_int > set_int > $o ).

thf(func_def_1227,type,
    sP93: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1228,type,
    sP94: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1229,type,
    sP95: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1230,type,
    sP96: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1231,type,
    sP97: set_real > set_real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1232,type,
    sP98: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1233,type,
    sP99: set_real > set_real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1234,type,
    sP100: set_real > set_real > ( real > real ) > set_real > set_real > $o ).

thf(func_def_1235,type,
    sP101: set_real > set_real > ( int > real ) > ( real > int ) > $o ).

thf(func_def_1236,type,
    sP102: set_real > set_real > ( real > int ) > set_int > set_int > $o ).

thf(func_def_1237,type,
    sP103: set_int > set_int > ( real > int ) > ( int > real ) > $o ).

thf(func_def_1238,type,
    sP104: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1239,type,
    sP105: set_real > set_real > ( complex > real ) > ( real > complex ) > $o ).

thf(func_def_1240,type,
    sP106: set_real > set_real > ( real > complex ) > set_complex > set_complex > $o ).

thf(func_def_1241,type,
    sP107: set_complex > set_complex > ( real > complex ) > ( complex > real ) > $o ).

thf(func_def_1242,type,
    sP108: set_complex > set_complex > ( complex > real ) > set_real > set_real > $o ).

thf(func_def_1243,type,
    sP109: set_int > set_int > ( real > int ) > ( int > real ) > $o ).

thf(func_def_1244,type,
    sP110: set_int > set_int > ( int > real ) > set_real > set_real > $o ).

thf(func_def_1245,type,
    sP111: set_real > set_real > ( int > real ) > ( real > int ) > $o ).

thf(func_def_1246,type,
    sP112: set_real > set_real > ( real > int ) > set_int > set_int > $o ).

thf(func_def_1247,type,
    sP113: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1248,type,
    sP114: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1249,type,
    sP115: set_int > set_int > ( int > int ) > ( int > int ) > $o ).

thf(func_def_1250,type,
    sP116: set_int > set_int > ( int > int ) > set_int > set_int > $o ).

thf(func_def_1251,type,
    sP117: set_int > set_int > ( complex > int ) > ( int > complex ) > $o ).

thf(func_def_1252,type,
    sP118: set_int > set_int > ( int > complex ) > set_complex > set_complex > $o ).

thf(func_def_1253,type,
    sP119: set_complex > set_complex > ( int > complex ) > ( complex > int ) > $o ).

thf(func_def_1254,type,
    sP120: set_complex > set_complex > ( complex > int ) > set_int > set_int > $o ).

thf(func_def_1255,type,
    sP121: nat > nat > ( nat > int ) > $o ).

thf(func_def_1256,type,
    sP122: product_prod_int_int > int > int > $o ).

thf(func_def_1257,type,
    sP123: nat > ( nat > nat ) > $o ).

thf(func_def_1258,type,
    sP124: vEBT_VEBT > option_nat > $o ).

thf(func_def_1259,type,
    sP125: vEBT_VEBT > option_nat > $o ).

thf(func_def_1260,type,
    sP126: vEBT_VEBT > option_nat > $o ).

thf(func_def_1261,type,
    sP127: vEBT_VEBT > option_nat > $o ).

thf(func_def_1262,type,
    sP128: vEBT_VEBT > $o > $o ).

thf(func_def_1263,type,
    sP129: vEBT_VEBT > $o > $o ).

thf(func_def_1264,type,
    sP130: vEBT_VEBT > $o > $o ).

thf(func_def_1265,type,
    sP131: vEBT_VEBT > $o > $o ).

thf(func_def_1266,type,
    sP132: ( int > $o ) > int > int > $o ).

thf(func_def_1267,type,
    sP133: ( int > $o ) > int > int > $o ).

thf(func_def_1268,type,
    sP134: ( int > $o ) > int > int > $o ).

thf(func_def_1269,type,
    sP135: vEBT_VEBT > nat > $o ).

thf(func_def_1270,type,
    sP136: vEBT_VEBT > $o > nat > $o ).

thf(func_def_1271,type,
    sP137: vEBT_VEBT > nat > $o ).

thf(func_def_1272,type,
    sP138: vEBT_VEBT > nat > $o ).

thf(func_def_1273,type,
    sP139: real > nat > real > $o ).

thf(func_def_1274,type,
    sP140: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1275,type,
    sP141: nat > real > ( nat > real > real ) > $o ).

thf(func_def_1276,type,
    sP142: nat > real > ( nat > real > real ) > $o ).

thf(func_def_1277,type,
    sP143: nat > real > ( nat > real > real ) > $o ).

thf(func_def_1278,type,
    sP144: ( real > real ) > ( nat > real > real ) > real > real > nat > $o ).

thf(func_def_1279,type,
    sP145: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_1280,type,
    sP146: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_1281,type,
    sP147: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1282,type,
    sP148: real > real > ( real > real ) > $o ).

thf(func_def_1283,type,
    sP149: real > real > ( real > real ) > $o ).

thf(func_def_1284,type,
    sP150: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1285,type,
    sP151: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_1286,type,
    sP152: ( real > real ) > real > ( real > real ) > real > $o ).

thf(func_def_1287,type,
    sP153: real > real > ( real > real ) > $o ).

thf(func_def_1288,type,
    sP154: real > real > ( real > real ) > $o ).

thf(func_def_1289,type,
    sP155: real > real > ( real > real ) > $o ).

thf(func_def_1290,type,
    sP156: ( real > real ) > real > real > $o ).

thf(func_def_1291,type,
    sP157: real > real > ( real > real ) > ( real > real > real ) > $o ).

thf(func_def_1292,type,
    sP158: real > real > ( real > real ) > ( real > real > real ) > $o ).

thf(func_def_1293,type,
    sP159: real > real > ( real > real ) > $o ).

thf(func_def_1294,type,
    sP160: list_nat > nat > $o ).

thf(func_def_1295,type,
    sP161: num > num > option_num > $o ).

thf(func_def_1296,type,
    sP162: num > num > option_num > $o ).

thf(func_def_1297,type,
    sP163: num > num > option_num > $o ).

thf(func_def_1298,type,
    sP164: num > num > option_num > $o ).

thf(func_def_1299,type,
    sP165: num > num > option_num > $o ).

thf(func_def_1300,type,
    sP166: num > num > option_num > $o ).

thf(func_def_1301,type,
    sP167: num > num > option_num > $o ).

thf(func_def_1302,type,
    sP168: num > num > option_num > $o ).

thf(func_def_1303,type,
    sP169: num > num > option_num > $o ).

thf(func_def_1304,type,
    sP170: num > num > option_num > $o ).

thf(func_def_1305,type,
    sP171: num > num > option_num > $o ).

thf(func_def_1306,type,
    sP172: num > num > option_num > $o ).

thf(func_def_1307,type,
    sP173: num > num > option_num > $o ).

thf(func_def_1308,type,
    sP174: num > num > option_num > $o ).

thf(func_def_1309,type,
    sP175: num > num > option_num > $o ).

thf(func_def_1310,type,
    sP176: num > num > option_num > $o ).

thf(func_def_1311,type,
    sP177: num > num > option_num > $o ).

thf(func_def_1312,type,
    sP178: num > num > option_num > $o ).

thf(func_def_1313,type,
    sP179: num > num > option_num > $o ).

thf(func_def_1314,type,
    sP180: num > num > option_num > $o ).

thf(func_def_1315,type,
    sP181: num > num > option_num > $o ).

thf(func_def_1316,type,
    sP182: num > num > option_num > $o ).

thf(func_def_1317,type,
    sP183: num > num > option_num > $o ).

thf(func_def_1318,type,
    sP184: num > num > option_num > $o ).

thf(func_def_1319,type,
    sK185: nat ).

thf(func_def_1320,type,
    sK186: vEBT_VEBT > nat ).

thf(func_def_1321,type,
    sK187: nat ).

thf(func_def_1322,type,
    sK188: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_1323,type,
    sK189: ( real > $o ) > list_real > real ).

thf(func_def_1324,type,
    sK190: ( set_nat > $o ) > list_set_nat > set_nat ).

thf(func_def_1325,type,
    sK191: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1326,type,
    sK192: ( $o > $o ) > list_o > $o ).

thf(func_def_1327,type,
    sK193: ( nat > $o ) > list_nat > nat ).

thf(func_def_1328,type,
    sK194: ( int > $o ) > list_int > int ).

thf(func_def_1329,type,
    sK195: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1330,type,
    sK196: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1331,type,
    sK197: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_1332,type,
    sK198: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1333,type,
    sK199: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1334,type,
    sK200: nat > list_VEBT_VEBT ).

thf(func_def_1335,type,
    sK201: nat > list_o ).

thf(func_def_1336,type,
    sK202: nat > list_nat ).

thf(func_def_1337,type,
    sK203: nat > list_int ).

thf(func_def_1338,type,
    sK204: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).

thf(func_def_1339,type,
    sK205: ( list_o > $o ) > list_o ).

thf(func_def_1340,type,
    sK206: ( list_nat > $o ) > list_nat ).

thf(func_def_1341,type,
    sK207: ( list_int > $o ) > list_int ).

thf(func_def_1342,type,
    sK208: list_VEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1343,type,
    sK209: list_o > list_o > nat ).

thf(func_def_1344,type,
    sK210: list_nat > list_nat > nat ).

thf(func_def_1345,type,
    sK211: list_int > list_int > nat ).

thf(func_def_1346,type,
    sK212: vEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1347,type,
    sK213: $o > list_o > $o ).

thf(func_def_1348,type,
    sK214: nat > list_nat > nat ).

thf(func_def_1349,type,
    sK215: int > list_int > int ).

thf(func_def_1350,type,
    sK216: product_prod_nat_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_1351,type,
    sK217: real > list_real > real ).

thf(func_def_1352,type,
    sK218: set_nat > list_set_nat > set_nat ).

thf(func_def_1353,type,
    sK219: vEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1354,type,
    sK220: $o > list_o > $o ).

thf(func_def_1355,type,
    sK221: nat > list_nat > nat ).

thf(func_def_1356,type,
    sK222: int > list_int > int ).

thf(func_def_1357,type,
    sK223: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > nat ).

thf(func_def_1358,type,
    sK224: ( real > $o ) > list_real > nat ).

thf(func_def_1359,type,
    sK225: ( set_nat > $o ) > list_set_nat > nat ).

thf(func_def_1360,type,
    sK226: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_1361,type,
    sK227: ( $o > $o ) > list_o > nat ).

thf(func_def_1362,type,
    sK228: ( nat > $o ) > list_nat > nat ).

thf(func_def_1363,type,
    sK229: ( int > $o ) > list_int > nat ).

thf(func_def_1364,type,
    sK230: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1365,type,
    sK231: ( $o > $o ) > list_o > $o ).

thf(func_def_1366,type,
    sK232: ( nat > $o ) > list_nat > nat ).

thf(func_def_1367,type,
    sK233: ( int > $o ) > list_int > int ).

thf(func_def_1368,type,
    sK234: nat > ( nat > $o ) > nat ).

thf(func_def_1369,type,
    sK235: nat > nat ).

thf(func_def_1370,type,
    sK236: nat > nat ).

thf(func_def_1371,type,
    sK237: nat > nat > nat ).

thf(func_def_1372,type,
    sK238: nat > nat > nat ).

thf(func_def_1373,type,
    sK239: nat > nat > nat ).

thf(func_def_1374,type,
    sK240: nat > nat ).

thf(func_def_1375,type,
    sK241: ( nat > $o ) > nat ).

thf(func_def_1376,type,
    sK242: ( nat > nat > $o ) > nat ).

thf(func_def_1377,type,
    sK243: ( nat > nat > $o ) > nat ).

thf(func_def_1378,type,
    sK244: ( nat > nat > $o ) > nat ).

thf(func_def_1379,type,
    sK245: ( nat > nat > $o ) > nat ).

thf(func_def_1380,type,
    sK246: ( nat > $o ) > nat ).

thf(func_def_1381,type,
    sK247: nat > nat ).

thf(func_def_1382,type,
    sK248: nat > nat > nat ).

thf(func_def_1383,type,
    sK249: nat > nat > nat ).

thf(func_def_1384,type,
    sK250: ( nat > nat > $o ) > nat ).

thf(func_def_1385,type,
    sK251: ( nat > nat > $o ) > nat ).

thf(func_def_1386,type,
    sK252: ( nat > nat > $o ) > nat ).

thf(func_def_1387,type,
    sK253: ( nat > nat > $o ) > nat ).

thf(func_def_1388,type,
    sK254: ( nat > $o ) > nat > nat ).

thf(func_def_1389,type,
    sK255: ( nat > $o ) > nat > nat ).

thf(func_def_1390,type,
    sK256: nat > nat ).

thf(func_def_1391,type,
    sK257: ( nat > $o ) > nat ).

thf(func_def_1392,type,
    sK258: ( nat > $o ) > nat > nat ).

thf(func_def_1393,type,
    sK259: ( nat > nat > $o ) > nat ).

thf(func_def_1394,type,
    sK260: ( nat > nat > $o ) > nat ).

thf(func_def_1395,type,
    sK261: ( nat > nat > $o ) > nat ).

thf(func_def_1396,type,
    sK262: ( nat > nat > $o ) > nat ).

thf(func_def_1397,type,
    sK263: ( nat > nat > $o ) > nat ).

thf(func_def_1398,type,
    sK264: nat > nat > nat ).

thf(func_def_1399,type,
    sK265: nat > nat > nat ).

thf(func_def_1400,type,
    sK266: ( nat > real ) > nat ).

thf(func_def_1401,type,
    sK267: ( nat > rat ) > nat ).

thf(func_def_1402,type,
    sK268: ( nat > num ) > nat ).

thf(func_def_1403,type,
    sK269: ( nat > nat ) > nat ).

thf(func_def_1404,type,
    sK270: ( nat > int ) > nat ).

thf(func_def_1405,type,
    sK271: ( nat > real ) > nat ).

thf(func_def_1406,type,
    sK272: ( nat > rat ) > nat ).

thf(func_def_1407,type,
    sK273: ( nat > num ) > nat ).

thf(func_def_1408,type,
    sK274: ( nat > nat ) > nat ).

thf(func_def_1409,type,
    sK275: ( nat > int ) > nat ).

thf(func_def_1410,type,
    sK276: ( nat > set_int ) > nat ).

thf(func_def_1411,type,
    sK277: ( nat > rat ) > nat ).

thf(func_def_1412,type,
    sK278: ( nat > num ) > nat ).

thf(func_def_1413,type,
    sK279: ( nat > nat ) > nat ).

thf(func_def_1414,type,
    sK280: ( nat > int ) > nat ).

thf(func_def_1415,type,
    sK281: ( nat > set_int ) > nat ).

thf(func_def_1416,type,
    sK282: ( nat > rat ) > nat ).

thf(func_def_1417,type,
    sK283: ( nat > num ) > nat ).

thf(func_def_1418,type,
    sK284: ( nat > nat ) > nat ).

thf(func_def_1419,type,
    sK285: ( nat > int ) > nat ).

thf(func_def_1420,type,
    sK286: nat > nat ).

thf(func_def_1421,type,
    sK287: nat > nat > nat ).

thf(func_def_1422,type,
    sK288: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1423,type,
    sK289: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1424,type,
    sK290: ( nat > nat ) > nat ).

thf(func_def_1425,type,
    sK291: ( nat > nat ) > nat ).

thf(func_def_1426,type,
    sK292: nat > ( nat > $o ) > nat ).

thf(func_def_1427,type,
    sK293: ( rat > rat > $o ) > rat ).

thf(func_def_1428,type,
    sK294: ( rat > rat > $o ) > rat ).

thf(func_def_1429,type,
    sK295: ( rat > rat > $o ) > rat ).

thf(func_def_1430,type,
    sK296: ( rat > rat > $o ) > rat ).

thf(func_def_1431,type,
    sK297: ( num > num > $o ) > num ).

thf(func_def_1432,type,
    sK298: ( num > num > $o ) > num ).

thf(func_def_1433,type,
    sK299: ( num > num > $o ) > num ).

thf(func_def_1434,type,
    sK300: ( num > num > $o ) > num ).

thf(func_def_1435,type,
    sK301: ( nat > nat > $o ) > nat ).

thf(func_def_1436,type,
    sK302: ( nat > nat > $o ) > nat ).

thf(func_def_1437,type,
    sK303: ( nat > nat > $o ) > nat ).

thf(func_def_1438,type,
    sK304: ( nat > nat > $o ) > nat ).

thf(func_def_1439,type,
    sK305: ( int > int > $o ) > int ).

thf(func_def_1440,type,
    sK306: ( int > int > $o ) > int ).

thf(func_def_1441,type,
    sK307: ( int > int > $o ) > int ).

thf(func_def_1442,type,
    sK308: ( int > int > $o ) > int ).

thf(func_def_1443,type,
    sK309: ( rat > rat ) > rat ).

thf(func_def_1444,type,
    sK310: ( rat > rat ) > rat ).

thf(func_def_1445,type,
    sK311: ( num > rat ) > num ).

thf(func_def_1446,type,
    sK312: ( num > rat ) > num ).

thf(func_def_1447,type,
    sK313: ( nat > rat ) > nat ).

thf(func_def_1448,type,
    sK314: ( nat > rat ) > nat ).

thf(func_def_1449,type,
    sK315: ( int > rat ) > int ).

thf(func_def_1450,type,
    sK316: ( int > rat ) > int ).

thf(func_def_1451,type,
    sK317: ( rat > num ) > rat ).

thf(func_def_1452,type,
    sK318: ( rat > num ) > rat ).

thf(func_def_1453,type,
    sK319: ( num > num ) > num ).

thf(func_def_1454,type,
    sK320: ( num > num ) > num ).

thf(func_def_1455,type,
    sK321: ( nat > num ) > nat ).

thf(func_def_1456,type,
    sK322: ( nat > num ) > nat ).

thf(func_def_1457,type,
    sK323: ( int > num ) > int ).

thf(func_def_1458,type,
    sK324: ( int > num ) > int ).

thf(func_def_1459,type,
    sK325: ( rat > nat ) > rat ).

thf(func_def_1460,type,
    sK326: ( rat > nat ) > rat ).

thf(func_def_1461,type,
    sK327: ( num > nat ) > num ).

thf(func_def_1462,type,
    sK328: ( num > nat ) > num ).

thf(func_def_1463,type,
    sK329: ( rat > rat ) > rat ).

thf(func_def_1464,type,
    sK330: ( rat > rat ) > rat ).

thf(func_def_1465,type,
    sK331: ( rat > num ) > rat ).

thf(func_def_1466,type,
    sK332: ( rat > num ) > rat ).

thf(func_def_1467,type,
    sK333: ( rat > nat ) > rat ).

thf(func_def_1468,type,
    sK334: ( rat > nat ) > rat ).

thf(func_def_1469,type,
    sK335: ( rat > int ) > rat ).

thf(func_def_1470,type,
    sK336: ( rat > int ) > rat ).

thf(func_def_1471,type,
    sK337: ( num > rat ) > num ).

thf(func_def_1472,type,
    sK338: ( num > rat ) > num ).

thf(func_def_1473,type,
    sK339: ( num > num ) > num ).

thf(func_def_1474,type,
    sK340: ( num > num ) > num ).

thf(func_def_1475,type,
    sK341: ( num > nat ) > num ).

thf(func_def_1476,type,
    sK342: ( num > nat ) > num ).

thf(func_def_1477,type,
    sK343: ( num > int ) > num ).

thf(func_def_1478,type,
    sK344: ( num > int ) > num ).

thf(func_def_1479,type,
    sK345: ( nat > rat ) > nat ).

thf(func_def_1480,type,
    sK346: ( nat > rat ) > nat ).

thf(func_def_1481,type,
    sK347: ( nat > num ) > nat ).

thf(func_def_1482,type,
    sK348: ( nat > num ) > nat ).

thf(func_def_1483,type,
    sK349: ( rat > rat ) > rat ).

thf(func_def_1484,type,
    sK350: ( rat > rat ) > rat ).

thf(func_def_1485,type,
    sK351: ( rat > num ) > rat ).

thf(func_def_1486,type,
    sK352: ( rat > num ) > rat ).

thf(func_def_1487,type,
    sK353: ( rat > nat ) > rat ).

thf(func_def_1488,type,
    sK354: ( rat > nat ) > rat ).

thf(func_def_1489,type,
    sK355: ( rat > int ) > rat ).

thf(func_def_1490,type,
    sK356: ( rat > int ) > rat ).

thf(func_def_1491,type,
    sK357: ( num > rat ) > num ).

thf(func_def_1492,type,
    sK358: ( num > rat ) > num ).

thf(func_def_1493,type,
    sK359: ( num > num ) > num ).

thf(func_def_1494,type,
    sK360: ( num > num ) > num ).

thf(func_def_1495,type,
    sK361: ( num > nat ) > num ).

thf(func_def_1496,type,
    sK362: ( num > nat ) > num ).

thf(func_def_1497,type,
    sK363: ( num > int ) > num ).

thf(func_def_1498,type,
    sK364: ( num > int ) > num ).

thf(func_def_1499,type,
    sK365: ( nat > rat ) > nat ).

thf(func_def_1500,type,
    sK366: ( nat > rat ) > nat ).

thf(func_def_1501,type,
    sK367: ( nat > num ) > nat ).

thf(func_def_1502,type,
    sK368: ( nat > num ) > nat ).

thf(func_def_1503,type,
    sK369: ( rat > rat ) > rat ).

thf(func_def_1504,type,
    sK370: ( rat > rat ) > rat ).

thf(func_def_1505,type,
    sK371: ( rat > num ) > rat ).

thf(func_def_1506,type,
    sK372: ( rat > num ) > rat ).

thf(func_def_1507,type,
    sK373: ( rat > nat ) > rat ).

thf(func_def_1508,type,
    sK374: ( rat > nat ) > rat ).

thf(func_def_1509,type,
    sK375: ( rat > int ) > rat ).

thf(func_def_1510,type,
    sK376: ( rat > int ) > rat ).

thf(func_def_1511,type,
    sK377: ( num > rat ) > num ).

thf(func_def_1512,type,
    sK378: ( num > rat ) > num ).

thf(func_def_1513,type,
    sK379: ( num > num ) > num ).

thf(func_def_1514,type,
    sK380: ( num > num ) > num ).

thf(func_def_1515,type,
    sK381: ( num > nat ) > num ).

thf(func_def_1516,type,
    sK382: ( num > nat ) > num ).

thf(func_def_1517,type,
    sK383: ( num > int ) > num ).

thf(func_def_1518,type,
    sK384: ( num > int ) > num ).

thf(func_def_1519,type,
    sK385: ( nat > rat ) > nat ).

thf(func_def_1520,type,
    sK386: ( nat > rat ) > nat ).

thf(func_def_1521,type,
    sK387: ( nat > num ) > nat ).

thf(func_def_1522,type,
    sK388: ( nat > num ) > nat ).

thf(func_def_1523,type,
    sK389: real > real ).

thf(func_def_1524,type,
    sK390: rat > rat ).

thf(func_def_1525,type,
    sK391: int > int ).

thf(func_def_1526,type,
    sK392: real > real ).

thf(func_def_1527,type,
    sK393: rat > rat ).

thf(func_def_1528,type,
    sK394: nat > nat ).

thf(func_def_1529,type,
    sK395: int > int ).

thf(func_def_1530,type,
    sK396: real > real > real ).

thf(func_def_1531,type,
    sK397: rat > rat > rat ).

thf(func_def_1532,type,
    sK398: ( nat > $o ) > nat ).

thf(func_def_1533,type,
    sK399: ( real > real > $o ) > real ).

thf(func_def_1534,type,
    sK400: ( real > real > $o ) > real ).

thf(func_def_1535,type,
    sK401: ( real > real > $o ) > real ).

thf(func_def_1536,type,
    sK402: ( real > real > $o ) > real ).

thf(func_def_1537,type,
    sK403: ( real > real > $o ) > real ).

thf(func_def_1538,type,
    sK404: ( rat > rat > $o ) > rat ).

thf(func_def_1539,type,
    sK405: ( rat > rat > $o ) > rat ).

thf(func_def_1540,type,
    sK406: ( rat > rat > $o ) > rat ).

thf(func_def_1541,type,
    sK407: ( rat > rat > $o ) > rat ).

thf(func_def_1542,type,
    sK408: ( rat > rat > $o ) > rat ).

thf(func_def_1543,type,
    sK409: ( num > num > $o ) > num ).

thf(func_def_1544,type,
    sK410: ( num > num > $o ) > num ).

thf(func_def_1545,type,
    sK411: ( num > num > $o ) > num ).

thf(func_def_1546,type,
    sK412: ( num > num > $o ) > num ).

thf(func_def_1547,type,
    sK413: ( num > num > $o ) > num ).

thf(func_def_1548,type,
    sK414: ( nat > nat > $o ) > nat ).

thf(func_def_1549,type,
    sK415: ( nat > nat > $o ) > nat ).

thf(func_def_1550,type,
    sK416: ( nat > nat > $o ) > nat ).

thf(func_def_1551,type,
    sK417: ( nat > nat > $o ) > nat ).

thf(func_def_1552,type,
    sK418: ( nat > nat > $o ) > nat ).

thf(func_def_1553,type,
    sK419: ( int > int > $o ) > int ).

thf(func_def_1554,type,
    sK420: ( int > int > $o ) > int ).

thf(func_def_1555,type,
    sK421: ( int > int > $o ) > int ).

thf(func_def_1556,type,
    sK422: ( int > int > $o ) > int ).

thf(func_def_1557,type,
    sK423: ( int > int > $o ) > int ).

thf(func_def_1558,type,
    sK424: ( real > real ) > real ).

thf(func_def_1559,type,
    sK425: ( real > real ) > real ).

thf(func_def_1560,type,
    sK426: ( real > rat ) > real ).

thf(func_def_1561,type,
    sK427: ( real > rat ) > real ).

thf(func_def_1562,type,
    sK428: ( real > num ) > real ).

thf(func_def_1563,type,
    sK429: ( real > num ) > real ).

thf(func_def_1564,type,
    sK430: ( real > nat ) > real ).

thf(func_def_1565,type,
    sK431: ( real > nat ) > real ).

thf(func_def_1566,type,
    sK432: ( real > int ) > real ).

thf(func_def_1567,type,
    sK433: ( real > int ) > real ).

thf(func_def_1568,type,
    sK434: ( rat > real ) > rat ).

thf(func_def_1569,type,
    sK435: ( rat > real ) > rat ).

thf(func_def_1570,type,
    sK436: ( rat > rat ) > rat ).

thf(func_def_1571,type,
    sK437: ( rat > rat ) > rat ).

thf(func_def_1572,type,
    sK438: ( rat > num ) > rat ).

thf(func_def_1573,type,
    sK439: ( rat > num ) > rat ).

thf(func_def_1574,type,
    sK440: ( rat > nat ) > rat ).

thf(func_def_1575,type,
    sK441: ( rat > nat ) > rat ).

thf(func_def_1576,type,
    sK442: ( rat > int ) > rat ).

thf(func_def_1577,type,
    sK443: ( rat > int ) > rat ).

thf(func_def_1578,type,
    sK444: ( real > real ) > real ).

thf(func_def_1579,type,
    sK445: ( real > real ) > real ).

thf(func_def_1580,type,
    sK446: ( real > rat ) > real ).

thf(func_def_1581,type,
    sK447: ( real > rat ) > real ).

thf(func_def_1582,type,
    sK448: ( real > num ) > real ).

thf(func_def_1583,type,
    sK449: ( real > num ) > real ).

thf(func_def_1584,type,
    sK450: ( real > nat ) > real ).

thf(func_def_1585,type,
    sK451: ( real > nat ) > real ).

thf(func_def_1586,type,
    sK452: ( real > int ) > real ).

thf(func_def_1587,type,
    sK453: ( real > int ) > real ).

thf(func_def_1588,type,
    sK454: ( rat > real ) > rat ).

thf(func_def_1589,type,
    sK455: ( rat > real ) > rat ).

thf(func_def_1590,type,
    sK456: ( rat > rat ) > rat ).

thf(func_def_1591,type,
    sK457: ( rat > rat ) > rat ).

thf(func_def_1592,type,
    sK458: ( rat > num ) > rat ).

thf(func_def_1593,type,
    sK459: ( rat > num ) > rat ).

thf(func_def_1594,type,
    sK460: ( rat > nat ) > rat ).

thf(func_def_1595,type,
    sK461: ( rat > nat ) > rat ).

thf(func_def_1596,type,
    sK462: ( rat > int ) > rat ).

thf(func_def_1597,type,
    sK463: ( rat > int ) > rat ).

thf(func_def_1598,type,
    sK464: ( real > real ) > real ).

thf(func_def_1599,type,
    sK465: ( real > real ) > real ).

thf(func_def_1600,type,
    sK466: ( rat > real ) > rat ).

thf(func_def_1601,type,
    sK467: ( rat > real ) > rat ).

thf(func_def_1602,type,
    sK468: ( num > real ) > num ).

thf(func_def_1603,type,
    sK469: ( num > real ) > num ).

thf(func_def_1604,type,
    sK470: ( nat > real ) > nat ).

thf(func_def_1605,type,
    sK471: ( nat > real ) > nat ).

thf(func_def_1606,type,
    sK472: ( int > real ) > int ).

thf(func_def_1607,type,
    sK473: ( int > real ) > int ).

thf(func_def_1608,type,
    sK474: ( real > rat ) > real ).

thf(func_def_1609,type,
    sK475: ( real > rat ) > real ).

thf(func_def_1610,type,
    sK476: ( rat > rat ) > rat ).

thf(func_def_1611,type,
    sK477: ( rat > rat ) > rat ).

thf(func_def_1612,type,
    sK478: ( num > rat ) > num ).

thf(func_def_1613,type,
    sK479: ( num > rat ) > num ).

thf(func_def_1614,type,
    sK480: ( nat > rat ) > nat ).

thf(func_def_1615,type,
    sK481: ( nat > rat ) > nat ).

thf(func_def_1616,type,
    sK482: ( int > rat ) > int ).

thf(func_def_1617,type,
    sK483: ( int > rat ) > int ).

thf(func_def_1618,type,
    sK484: ( real > real ) > real ).

thf(func_def_1619,type,
    sK485: ( real > real ) > real ).

thf(func_def_1620,type,
    sK486: ( real > rat ) > real ).

thf(func_def_1621,type,
    sK487: ( real > rat ) > real ).

thf(func_def_1622,type,
    sK488: ( real > num ) > real ).

thf(func_def_1623,type,
    sK489: ( real > num ) > real ).

thf(func_def_1624,type,
    sK490: ( real > nat ) > real ).

thf(func_def_1625,type,
    sK491: ( real > nat ) > real ).

thf(func_def_1626,type,
    sK492: ( real > int ) > real ).

thf(func_def_1627,type,
    sK493: ( real > int ) > real ).

thf(func_def_1628,type,
    sK494: ( rat > real ) > rat ).

thf(func_def_1629,type,
    sK495: ( rat > real ) > rat ).

thf(func_def_1630,type,
    sK496: ( rat > rat ) > rat ).

thf(func_def_1631,type,
    sK497: ( rat > rat ) > rat ).

thf(func_def_1632,type,
    sK498: ( rat > num ) > rat ).

thf(func_def_1633,type,
    sK499: ( rat > num ) > rat ).

thf(func_def_1634,type,
    sK500: ( rat > nat ) > rat ).

thf(func_def_1635,type,
    sK501: ( rat > nat ) > rat ).

thf(func_def_1636,type,
    sK502: ( rat > int ) > rat ).

thf(func_def_1637,type,
    sK503: ( rat > int ) > rat ).

thf(func_def_1638,type,
    sK504: ( nat > $o ) > nat ).

thf(func_def_1639,type,
    sK505: ( nat > $o ) > nat ).

thf(func_def_1640,type,
    sK506: ( nat > $o ) > nat ).

thf(func_def_1641,type,
    sK507: nat > ( nat > $o ) > nat ).

thf(func_def_1642,type,
    sK508: real > real > real ).

thf(func_def_1643,type,
    sK509: rat > rat > rat ).

thf(func_def_1644,type,
    sK510: real > real > real ).

thf(func_def_1645,type,
    sK511: rat > rat > rat ).

thf(func_def_1646,type,
    sK512: real > real > real > real ).

thf(func_def_1647,type,
    sK513: rat > rat > rat > rat ).

thf(func_def_1648,type,
    sK514: real > real > real > real ).

thf(func_def_1649,type,
    sK515: rat > rat > rat > rat ).

thf(func_def_1650,type,
    sK516: ( real > real ) > real ).

thf(func_def_1651,type,
    sK517: ( real > real ) > real ).

thf(func_def_1652,type,
    sK518: ( rat > real ) > rat ).

thf(func_def_1653,type,
    sK519: ( rat > real ) > rat ).

thf(func_def_1654,type,
    sK520: ( num > real ) > num ).

thf(func_def_1655,type,
    sK521: ( num > real ) > num ).

thf(func_def_1656,type,
    sK522: ( nat > real ) > nat ).

thf(func_def_1657,type,
    sK523: ( nat > real ) > nat ).

thf(func_def_1658,type,
    sK524: ( int > real ) > int ).

thf(func_def_1659,type,
    sK525: ( int > real ) > int ).

thf(func_def_1660,type,
    sK526: ( real > rat ) > real ).

thf(func_def_1661,type,
    sK527: ( real > rat ) > real ).

thf(func_def_1662,type,
    sK528: ( rat > rat ) > rat ).

thf(func_def_1663,type,
    sK529: ( rat > rat ) > rat ).

thf(func_def_1664,type,
    sK530: ( num > rat ) > num ).

thf(func_def_1665,type,
    sK531: ( num > rat ) > num ).

thf(func_def_1666,type,
    sK532: ( nat > rat ) > nat ).

thf(func_def_1667,type,
    sK533: ( nat > rat ) > nat ).

thf(func_def_1668,type,
    sK534: ( int > rat ) > int ).

thf(func_def_1669,type,
    sK535: ( int > rat ) > int ).

thf(func_def_1670,type,
    sK536: ( rat > real ) > rat ).

thf(func_def_1671,type,
    sK537: ( rat > real ) > rat ).

thf(func_def_1672,type,
    sK538: ( rat > rat ) > rat ).

thf(func_def_1673,type,
    sK539: ( rat > rat ) > rat ).

thf(func_def_1674,type,
    sK540: ( rat > num ) > rat ).

thf(func_def_1675,type,
    sK541: ( rat > num ) > rat ).

thf(func_def_1676,type,
    sK542: ( rat > nat ) > rat ).

thf(func_def_1677,type,
    sK543: ( rat > nat ) > rat ).

thf(func_def_1678,type,
    sK544: ( rat > int ) > rat ).

thf(func_def_1679,type,
    sK545: ( rat > int ) > rat ).

thf(func_def_1680,type,
    sK546: ( num > real ) > num ).

thf(func_def_1681,type,
    sK547: ( num > real ) > num ).

thf(func_def_1682,type,
    sK548: ( num > rat ) > num ).

thf(func_def_1683,type,
    sK549: ( num > rat ) > num ).

thf(func_def_1684,type,
    sK550: ( num > num ) > num ).

thf(func_def_1685,type,
    sK551: ( num > num ) > num ).

thf(func_def_1686,type,
    sK552: ( num > nat ) > num ).

thf(func_def_1687,type,
    sK553: ( num > nat ) > num ).

thf(func_def_1688,type,
    sK554: ( num > int ) > num ).

thf(func_def_1689,type,
    sK555: ( num > int ) > num ).

thf(func_def_1690,type,
    sK556: ( rat > real ) > rat ).

thf(func_def_1691,type,
    sK557: ( rat > real ) > rat ).

thf(func_def_1692,type,
    sK558: ( rat > rat ) > rat ).

thf(func_def_1693,type,
    sK559: ( rat > rat ) > rat ).

thf(func_def_1694,type,
    sK560: ( rat > num ) > rat ).

thf(func_def_1695,type,
    sK561: ( rat > num ) > rat ).

thf(func_def_1696,type,
    sK562: ( rat > nat ) > rat ).

thf(func_def_1697,type,
    sK563: ( rat > nat ) > rat ).

thf(func_def_1698,type,
    sK564: ( rat > int ) > rat ).

thf(func_def_1699,type,
    sK565: ( rat > int ) > rat ).

thf(func_def_1700,type,
    sK566: ( num > real ) > num ).

thf(func_def_1701,type,
    sK567: ( num > real ) > num ).

thf(func_def_1702,type,
    sK568: ( num > rat ) > num ).

thf(func_def_1703,type,
    sK569: ( num > rat ) > num ).

thf(func_def_1704,type,
    sK570: ( num > num ) > num ).

thf(func_def_1705,type,
    sK571: ( num > num ) > num ).

thf(func_def_1706,type,
    sK572: ( num > nat ) > num ).

thf(func_def_1707,type,
    sK573: ( num > nat ) > num ).

thf(func_def_1708,type,
    sK574: ( num > int ) > num ).

thf(func_def_1709,type,
    sK575: ( num > int ) > num ).

thf(func_def_1710,type,
    sK576: ( real > real ) > real ).

thf(func_def_1711,type,
    sK577: ( real > real ) > real ).

thf(func_def_1712,type,
    sK578: ( rat > real ) > rat ).

thf(func_def_1713,type,
    sK579: ( rat > real ) > rat ).

thf(func_def_1714,type,
    sK580: ( num > real ) > num ).

thf(func_def_1715,type,
    sK581: ( num > real ) > num ).

thf(func_def_1716,type,
    sK582: ( nat > real ) > nat ).

thf(func_def_1717,type,
    sK583: ( nat > real ) > nat ).

thf(func_def_1718,type,
    sK584: ( int > real ) > int ).

thf(func_def_1719,type,
    sK585: ( int > real ) > int ).

thf(func_def_1720,type,
    sK586: ( real > rat ) > real ).

thf(func_def_1721,type,
    sK587: ( real > rat ) > real ).

thf(func_def_1722,type,
    sK588: ( rat > rat ) > rat ).

thf(func_def_1723,type,
    sK589: ( rat > rat ) > rat ).

thf(func_def_1724,type,
    sK590: ( num > rat ) > num ).

thf(func_def_1725,type,
    sK591: ( num > rat ) > num ).

thf(func_def_1726,type,
    sK592: ( nat > rat ) > nat ).

thf(func_def_1727,type,
    sK593: ( nat > rat ) > nat ).

thf(func_def_1728,type,
    sK594: ( int > rat ) > int ).

thf(func_def_1729,type,
    sK595: ( int > rat ) > int ).

thf(func_def_1730,type,
    sK596: ( nat > $o ) > nat ).

thf(func_def_1731,type,
    sK597: ( nat > nat ) > nat ).

thf(func_def_1732,type,
    sK598: ( nat > nat ) > nat ).

thf(func_def_1733,type,
    sK599: real > real > real ).

thf(func_def_1734,type,
    sK600: rat > rat > rat ).

thf(func_def_1735,type,
    sK601: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1736,type,
    sK602: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1737,type,
    sK603: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1738,type,
    sK604: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1739,type,
    sK605: set_real > set_real > real ).

thf(func_def_1740,type,
    sK606: set_set_nat > set_set_nat > set_nat ).

thf(func_def_1741,type,
    sK607: set_nat > set_nat > nat ).

thf(func_def_1742,type,
    sK608: set_int > set_int > int ).

thf(func_def_1743,type,
    sK609: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1744,type,
    sK610: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1745,type,
    sK611: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_1746,type,
    sK612: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1747,type,
    sK613: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1748,type,
    sK614: ( option_nat > option_nat > $o ) > option_nat > option_nat > nat ).

thf(func_def_1749,type,
    sK615: ( option_nat > option_nat > $o ) > option_nat > option_nat > nat ).

thf(func_def_1750,type,
    sK616: ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > option4927543243414619207at_nat > nat ).

thf(func_def_1751,type,
    sK617: ( option_nat > option4927543243414619207at_nat > $o ) > option_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1752,type,
    sK618: ( option_nat > option_num > $o ) > option_nat > option_num > nat ).

thf(func_def_1753,type,
    sK619: ( option_nat > option_num > $o ) > option_nat > option_num > num ).

thf(func_def_1754,type,
    sK620: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > product_prod_nat_nat ).

thf(func_def_1755,type,
    sK621: ( option4927543243414619207at_nat > option_nat > $o ) > option4927543243414619207at_nat > option_nat > nat ).

thf(func_def_1756,type,
    sK622: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1757,type,
    sK623: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1758,type,
    sK624: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > product_prod_nat_nat ).

thf(func_def_1759,type,
    sK625: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > num ).

thf(func_def_1760,type,
    sK626: ( option_num > option_nat > $o ) > option_num > option_nat > num ).

thf(func_def_1761,type,
    sK627: ( option_num > option_nat > $o ) > option_num > option_nat > nat ).

thf(func_def_1762,type,
    sK628: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > num ).

thf(func_def_1763,type,
    sK629: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1764,type,
    sK630: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1765,type,
    sK631: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1766,type,
    sK632: option_nat > nat ).

thf(func_def_1767,type,
    sK633: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1768,type,
    sK634: option_num > num ).

thf(func_def_1769,type,
    sK635: real > real ).

thf(func_def_1770,type,
    sK636: rat > rat ).

thf(func_def_1771,type,
    sK637: real > real ).

thf(func_def_1772,type,
    sK638: rat > rat ).

thf(func_def_1773,type,
    sK639: set_set_nat > set_nat ).

thf(func_def_1774,type,
    sK640: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1775,type,
    sK641: set_real > real ).

thf(func_def_1776,type,
    sK642: set_nat > nat ).

thf(func_def_1777,type,
    sK643: set_int > int ).

thf(func_def_1778,type,
    sK644: ( nat > nat > $o ) > nat ).

thf(func_def_1779,type,
    sK645: ( nat > nat > $o ) > nat ).

thf(func_def_1780,type,
    sK646: ( nat > nat > $o ) > nat ).

thf(func_def_1781,type,
    sK647: ( nat > nat > $o ) > nat ).

thf(func_def_1782,type,
    sK648: ( nat > nat > $o ) > nat ).

thf(func_def_1783,type,
    sK649: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_1784,type,
    sK650: produc8306885398267862888on_nat > nat ).

thf(func_def_1785,type,
    sK651: produc8306885398267862888on_nat > nat ).

thf(func_def_1786,type,
    sK652: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_1787,type,
    sK653: produc8306885398267862888on_nat > nat ).

thf(func_def_1788,type,
    sK654: produc8306885398267862888on_nat > nat > nat > nat ).

thf(func_def_1789,type,
    sK655: produc8306885398267862888on_nat > option_nat ).

thf(func_def_1790,type,
    sK656: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_1791,type,
    sK657: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_1792,type,
    sK658: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_1793,type,
    sK659: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_1794,type,
    sK660: produc5542196010084753463at_nat > product_prod_nat_nat ).

thf(func_def_1795,type,
    sK661: produc5542196010084753463at_nat > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_1796,type,
    sK662: produc5542196010084753463at_nat > option4927543243414619207at_nat ).

thf(func_def_1797,type,
    sK663: produc1193250871479095198on_num > num > num > num ).

thf(func_def_1798,type,
    sK664: produc1193250871479095198on_num > num ).

thf(func_def_1799,type,
    sK665: produc1193250871479095198on_num > num ).

thf(func_def_1800,type,
    sK666: produc1193250871479095198on_num > num > num > num ).

thf(func_def_1801,type,
    sK667: produc1193250871479095198on_num > num ).

thf(func_def_1802,type,
    sK668: produc1193250871479095198on_num > num > num > num ).

thf(func_def_1803,type,
    sK669: produc1193250871479095198on_num > option_num ).

thf(func_def_1804,type,
    sK670: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_1805,type,
    sK671: produc2233624965454879586on_nat > nat ).

thf(func_def_1806,type,
    sK672: produc2233624965454879586on_nat > nat ).

thf(func_def_1807,type,
    sK673: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_1808,type,
    sK674: produc2233624965454879586on_nat > nat ).

thf(func_def_1809,type,
    sK675: produc2233624965454879586on_nat > nat > nat > $o ).

thf(func_def_1810,type,
    sK676: produc2233624965454879586on_nat > option_nat ).

thf(func_def_1811,type,
    sK677: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1812,type,
    sK678: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_1813,type,
    sK679: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_1814,type,
    sK680: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1815,type,
    sK681: produc5491161045314408544at_nat > product_prod_nat_nat ).

thf(func_def_1816,type,
    sK682: produc5491161045314408544at_nat > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_1817,type,
    sK683: produc5491161045314408544at_nat > option4927543243414619207at_nat ).

thf(func_def_1818,type,
    sK684: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_1819,type,
    sK685: produc7036089656553540234on_num > num ).

thf(func_def_1820,type,
    sK686: produc7036089656553540234on_num > num ).

thf(func_def_1821,type,
    sK687: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_1822,type,
    sK688: produc7036089656553540234on_num > num ).

thf(func_def_1823,type,
    sK689: produc7036089656553540234on_num > num > num > $o ).

thf(func_def_1824,type,
    sK690: produc7036089656553540234on_num > option_num ).

thf(func_def_1825,type,
    sK691: set_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1826,type,
    sK692: set_nat > list_nat ).

thf(func_def_1827,type,
    sK693: set_int > list_int ).

thf(func_def_1828,type,
    sK694: set_complex > list_complex ).

thf(func_def_1829,type,
    sK695: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat ).

thf(func_def_1830,type,
    sK696: set_real > real ).

thf(func_def_1831,type,
    sK697: set_rat > rat ).

thf(func_def_1832,type,
    sK698: set_num > num ).

thf(func_def_1833,type,
    sK699: set_nat > nat ).

thf(func_def_1834,type,
    sK700: set_int > int ).

thf(func_def_1835,type,
    sK701: set_real > real ).

thf(func_def_1836,type,
    sK702: set_rat > rat ).

thf(func_def_1837,type,
    sK703: set_num > num ).

thf(func_def_1838,type,
    sK704: set_nat > nat ).

thf(func_def_1839,type,
    sK705: set_int > int ).

thf(func_def_1840,type,
    sK706: product_prod_int_int > int ).

thf(func_def_1841,type,
    sK707: product_prod_int_int > int ).

thf(func_def_1842,type,
    sK708: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_1843,type,
    sK709: produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_1844,type,
    sK710: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1845,type,
    sK711: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_1846,type,
    sK712: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1847,type,
    sK713: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_1848,type,
    sK714: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_1849,type,
    sK715: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_1850,type,
    sK716: product_prod_int_int > int ).

thf(func_def_1851,type,
    sK717: product_prod_int_int > int ).

thf(func_def_1852,type,
    sK718: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_1853,type,
    sK719: produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_1854,type,
    sK720: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1855,type,
    sK721: produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_1856,type,
    sK722: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1857,type,
    sK723: produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_1858,type,
    sK724: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_1859,type,
    sK725: produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_1860,type,
    sK726: ( product_prod_int_int > $o ) > int ).

thf(func_def_1861,type,
    sK727: ( product_prod_int_int > $o ) > int ).

thf(func_def_1862,type,
    sK728: ( produc8763457246119570046nteger > $o ) > code_integer > option6357759511663192854e_term ).

thf(func_def_1863,type,
    sK729: ( produc8763457246119570046nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_1864,type,
    sK730: ( produc1908205239877642774nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1865,type,
    sK731: ( produc1908205239877642774nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_1866,type,
    sK732: ( produc2285326912895808259nt_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1867,type,
    sK733: ( produc2285326912895808259nt_int > $o ) > product_prod_int_int ).

thf(func_def_1868,type,
    sK734: ( produc7773217078559923341nt_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_1869,type,
    sK735: ( produc7773217078559923341nt_int > $o ) > product_prod_int_int ).

thf(func_def_1870,type,
    sK736: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_1871,type,
    sK737: produc8763457246119570046nteger > code_integer ).

thf(func_def_1872,type,
    sK738: produc8763457246119570046nteger > code_integer ).

thf(func_def_1873,type,
    sK739: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1874,type,
    sK740: produc1908205239877642774nteger > code_integer ).

thf(func_def_1875,type,
    sK741: produc1908205239877642774nteger > code_integer ).

thf(func_def_1876,type,
    sK742: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1877,type,
    sK743: produc2285326912895808259nt_int > int ).

thf(func_def_1878,type,
    sK744: produc2285326912895808259nt_int > int ).

thf(func_def_1879,type,
    sK745: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_1880,type,
    sK746: produc7773217078559923341nt_int > int ).

thf(func_def_1881,type,
    sK747: produc7773217078559923341nt_int > int ).

thf(func_def_1882,type,
    sK748: ( produc8763457246119570046nteger > $o ) > code_integer > option6357759511663192854e_term ).

thf(func_def_1883,type,
    sK749: ( produc8763457246119570046nteger > $o ) > code_integer ).

thf(func_def_1884,type,
    sK750: ( produc8763457246119570046nteger > $o ) > code_integer ).

thf(func_def_1885,type,
    sK751: ( produc1908205239877642774nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1886,type,
    sK752: ( produc1908205239877642774nteger > $o ) > code_integer ).

thf(func_def_1887,type,
    sK753: ( produc1908205239877642774nteger > $o ) > code_integer ).

thf(func_def_1888,type,
    sK754: ( produc2285326912895808259nt_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1889,type,
    sK755: ( produc2285326912895808259nt_int > $o ) > int ).

thf(func_def_1890,type,
    sK756: ( produc2285326912895808259nt_int > $o ) > int ).

thf(func_def_1891,type,
    sK757: ( produc7773217078559923341nt_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_1892,type,
    sK758: ( produc7773217078559923341nt_int > $o ) > int ).

thf(func_def_1893,type,
    sK759: ( produc7773217078559923341nt_int > $o ) > int ).

thf(func_def_1894,type,
    sK760: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1895,type,
    sK761: option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_1896,type,
    sK762: option4927543243414619207at_nat > option4927543243414619207at_nat > option4927543243414619207at_nat > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat ).

thf(func_def_1897,type,
    sK763: option_num > num ).

thf(func_def_1898,type,
    sK764: option_num > option_num > option_num > ( num > num > num ) > num ).

thf(func_def_1899,type,
    sK765: option_num > option_num > option_num > ( num > num > num ) > num ).

thf(func_def_1900,type,
    sK766: option_nat > nat ).

thf(func_def_1901,type,
    sK767: option_nat > option_nat > option_nat > ( nat > nat > nat ) > nat ).

thf(func_def_1902,type,
    sK768: option_nat > option_nat > option_nat > ( nat > nat > nat ) > nat ).

thf(func_def_1903,type,
    sK769: nat > nat ).

thf(func_def_1904,type,
    sK770: set_real > real ).

thf(func_def_1905,type,
    sK771: set_set_int > set_int ).

thf(func_def_1906,type,
    sK772: set_rat > rat ).

thf(func_def_1907,type,
    sK773: set_num > num ).

thf(func_def_1908,type,
    sK774: set_nat > nat ).

thf(func_def_1909,type,
    sK775: set_int > int ).

thf(func_def_1910,type,
    sK776: set_real > real ).

thf(func_def_1911,type,
    sK777: set_set_int > set_int ).

thf(func_def_1912,type,
    sK778: set_rat > rat ).

thf(func_def_1913,type,
    sK779: set_num > num ).

thf(func_def_1914,type,
    sK780: set_nat > nat ).

thf(func_def_1915,type,
    sK781: set_int > int ).

thf(func_def_1916,type,
    sK782: set_nat > nat > nat ).

thf(func_def_1917,type,
    sK783: nat > set_nat > nat ).

thf(func_def_1918,type,
    sK784: set_list_VEBT_VEBT > nat ).

thf(func_def_1919,type,
    sK785: set_list_o > nat ).

thf(func_def_1920,type,
    sK786: set_list_nat > nat ).

thf(func_def_1921,type,
    sK787: set_list_int > nat ).

thf(func_def_1922,type,
    sK788: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_1923,type,
    sK789: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_1924,type,
    sK790: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int ).

thf(func_def_1925,type,
    sK791: set_Pr958786334691620121nt_int > set_Pr958786334691620121nt_int > int ).

thf(func_def_1926,type,
    sK792: set_Pr8056137968301705908nteger > set_Pr8056137968301705908nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_1927,type,
    sK793: set_Pr8056137968301705908nteger > set_Pr8056137968301705908nteger > produc8923325533196201883nteger ).

thf(func_def_1928,type,
    sK794: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_1929,type,
    sK795: set_Pr1281608226676607948nteger > set_Pr1281608226676607948nteger > produc8923325533196201883nteger ).

thf(func_def_1930,type,
    sK796: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_1931,type,
    sK797: set_Pr9222295170931077689nt_int > set_Pr9222295170931077689nt_int > product_prod_int_int ).

thf(func_def_1932,type,
    sK798: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > int > option6357759511663192854e_term ).

thf(func_def_1933,type,
    sK799: set_Pr1872883991513573699nt_int > set_Pr1872883991513573699nt_int > product_prod_int_int ).

thf(func_def_1934,type,
    sK800: ( nat > $o ) > nat ).

thf(func_def_1935,type,
    sK801: nat > ( nat > $o ) > nat ).

thf(func_def_1936,type,
    sK802: real > set_real > real ).

thf(func_def_1937,type,
    sK803: set_nat > set_set_nat > set_nat ).

thf(func_def_1938,type,
    sK804: set_int > set_set_int > set_int ).

thf(func_def_1939,type,
    sK805: rat > set_rat > rat ).

thf(func_def_1940,type,
    sK806: num > set_num > num ).

thf(func_def_1941,type,
    sK807: nat > set_nat > nat ).

thf(func_def_1942,type,
    sK808: int > set_int > int ).

thf(func_def_1943,type,
    sK809: real > set_real > real ).

thf(func_def_1944,type,
    sK810: set_nat > set_set_nat > set_nat ).

thf(func_def_1945,type,
    sK811: set_int > set_set_int > set_int ).

thf(func_def_1946,type,
    sK812: rat > set_rat > rat ).

thf(func_def_1947,type,
    sK813: num > set_num > num ).

thf(func_def_1948,type,
    sK814: nat > set_nat > nat ).

thf(func_def_1949,type,
    sK815: int > set_int > int ).

thf(func_def_1950,type,
    sK816: ( set_nat > set_nat > $o ) > set_set_nat > set_nat ).

thf(func_def_1951,type,
    sK817: ( set_nat > set_nat > $o ) > set_nat ).

thf(func_def_1952,type,
    sK818: ( set_nat > set_nat > $o ) > set_nat ).

thf(func_def_1953,type,
    sK819: ( set_nat > set_nat > $o ) > set_nat ).

thf(func_def_1954,type,
    sK820: ( set_nat > set_nat > $o ) > set_nat ).

thf(func_def_1955,type,
    sK821: ( complex > complex > $o ) > set_complex > complex ).

thf(func_def_1956,type,
    sK822: ( complex > complex > $o ) > complex ).

thf(func_def_1957,type,
    sK823: ( complex > complex > $o ) > complex ).

thf(func_def_1958,type,
    sK824: ( complex > complex > $o ) > complex ).

thf(func_def_1959,type,
    sK825: ( complex > complex > $o ) > complex ).

thf(func_def_1960,type,
    sK826: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1961,type,
    sK827: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_1962,type,
    sK828: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_1963,type,
    sK829: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_1964,type,
    sK830: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_1965,type,
    sK831: ( real > real > $o ) > set_real > real ).

thf(func_def_1966,type,
    sK832: ( real > real > $o ) > real ).

thf(func_def_1967,type,
    sK833: ( real > real > $o ) > real ).

thf(func_def_1968,type,
    sK834: ( real > real > $o ) > real ).

thf(func_def_1969,type,
    sK835: ( real > real > $o ) > real ).

thf(func_def_1970,type,
    sK836: ( nat > nat > $o ) > set_nat > nat ).

thf(func_def_1971,type,
    sK837: ( nat > nat > $o ) > nat ).

thf(func_def_1972,type,
    sK838: ( nat > nat > $o ) > nat ).

thf(func_def_1973,type,
    sK839: ( nat > nat > $o ) > nat ).

thf(func_def_1974,type,
    sK840: ( nat > nat > $o ) > nat ).

thf(func_def_1975,type,
    sK841: ( int > int > $o ) > set_int > int ).

thf(func_def_1976,type,
    sK842: ( int > int > $o ) > int ).

thf(func_def_1977,type,
    sK843: ( int > int > $o ) > int ).

thf(func_def_1978,type,
    sK844: ( int > int > $o ) > int ).

thf(func_def_1979,type,
    sK845: ( int > int > $o ) > int ).

thf(func_def_1980,type,
    sK846: ( set_nat > $o ) > set_nat ).

thf(func_def_1981,type,
    sK847: ( set_int > $o ) > set_int ).

thf(func_def_1982,type,
    sK848: ( set_complex > $o ) > set_complex ).

thf(func_def_1983,type,
    sK849: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_1984,type,
    sK850: ( nat > $o ) > nat > nat ).

thf(func_def_1985,type,
    sK851: ( nat > $o ) > nat > nat ).

thf(func_def_1986,type,
    sK852: set_set_nat > set_nat ).

thf(func_def_1987,type,
    sK853: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1988,type,
    sK854: set_real > real ).

thf(func_def_1989,type,
    sK855: set_nat > nat ).

thf(func_def_1990,type,
    sK856: set_int > int ).

thf(func_def_1991,type,
    sK857: ( nat > $o ) > nat ).

thf(func_def_1992,type,
    sK858: nat > nat ).

thf(func_def_1993,type,
    sK859: real > real > real ).

thf(func_def_1994,type,
    sK860: rat > rat > rat ).

thf(func_def_1995,type,
    sK861: product_prod_nat_nat > nat ).

thf(func_def_1996,type,
    sK862: product_prod_nat_nat > nat ).

thf(func_def_1997,type,
    sK863: real > real ).

thf(func_def_1998,type,
    sK864: rat > rat ).

thf(func_def_1999,type,
    sK865: num > num ).

thf(func_def_2000,type,
    sK866: nat > nat ).

thf(func_def_2001,type,
    sK867: int > int ).

thf(func_def_2002,type,
    sK868: real > real ).

thf(func_def_2003,type,
    sK869: rat > rat ).

thf(func_def_2004,type,
    sK870: num > num ).

thf(func_def_2005,type,
    sK871: nat > nat ).

thf(func_def_2006,type,
    sK872: int > int ).

thf(func_def_2007,type,
    sK873: real > real ).

thf(func_def_2008,type,
    sK874: rat > rat ).

thf(func_def_2009,type,
    sK875: num > num ).

thf(func_def_2010,type,
    sK876: nat > nat ).

thf(func_def_2011,type,
    sK877: int > int ).

thf(func_def_2012,type,
    sK878: real > real ).

thf(func_def_2013,type,
    sK879: rat > rat ).

thf(func_def_2014,type,
    sK880: num > num ).

thf(func_def_2015,type,
    sK881: nat > nat ).

thf(func_def_2016,type,
    sK882: int > int ).

thf(func_def_2017,type,
    sK883: ( real > $o ) > real > real > real ).

thf(func_def_2018,type,
    sK884: real > ( real > $o ) > real > real ).

thf(func_def_2019,type,
    sK885: ( nat > $o ) > nat > nat > nat ).

thf(func_def_2020,type,
    sK886: nat > ( nat > $o ) > nat > nat ).

thf(func_def_2021,type,
    sK887: ( int > $o ) > int > int > int ).

thf(func_def_2022,type,
    sK888: int > ( int > $o ) > int > int ).

thf(func_def_2023,type,
    sK889: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_2024,type,
    sK890: ( real > $o ) > ( real > $o ) > list_real > real ).

thf(func_def_2025,type,
    sK891: ( set_nat > $o ) > ( set_nat > $o ) > list_set_nat > set_nat ).

thf(func_def_2026,type,
    sK892: ( vEBT_VEBT > $o ) > ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2027,type,
    sK893: ( int > $o ) > ( int > $o ) > list_int > int ).

thf(func_def_2028,type,
    sK894: ( nat > $o ) > ( nat > $o ) > list_nat > nat ).

thf(func_def_2029,type,
    sK895: real > real ).

thf(func_def_2030,type,
    sK896: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2031,type,
    sK897: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2032,type,
    sK898: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2033,type,
    sK899: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2034,type,
    sK900: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2035,type,
    sK901: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2036,type,
    sK902: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2037,type,
    sK903: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2038,type,
    sK904: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2039,type,
    sK905: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2040,type,
    sK906: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2041,type,
    sK907: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2042,type,
    sK908: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2043,type,
    sK909: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2044,type,
    sK910: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2045,type,
    sK911: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2046,type,
    sK912: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2047,type,
    sK913: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2048,type,
    sK914: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2049,type,
    sK915: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2050,type,
    sK916: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2051,type,
    sK917: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2052,type,
    sK918: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2053,type,
    sK919: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2054,type,
    sK920: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2055,type,
    sK921: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2056,type,
    sK922: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2057,type,
    sK923: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2058,type,
    sK924: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2059,type,
    sK925: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2060,type,
    sK926: real > real ).

thf(func_def_2061,type,
    sK927: rat > rat ).

thf(func_def_2062,type,
    sK928: num > num ).

thf(func_def_2063,type,
    sK929: nat > nat ).

thf(func_def_2064,type,
    sK930: int > int ).

thf(func_def_2065,type,
    sK931: real > real ).

thf(func_def_2066,type,
    sK932: rat > rat ).

thf(func_def_2067,type,
    sK933: num > num ).

thf(func_def_2068,type,
    sK934: nat > nat ).

thf(func_def_2069,type,
    sK935: int > int ).

thf(func_def_2070,type,
    sK936: real > real ).

thf(func_def_2071,type,
    sK937: rat > rat ).

thf(func_def_2072,type,
    sK938: num > num ).

thf(func_def_2073,type,
    sK939: nat > nat ).

thf(func_def_2074,type,
    sK940: int > int ).

thf(func_def_2075,type,
    sK941: real > real ).

thf(func_def_2076,type,
    sK942: rat > rat ).

thf(func_def_2077,type,
    sK943: num > num ).

thf(func_def_2078,type,
    sK944: nat > nat ).

thf(func_def_2079,type,
    sK945: int > int ).

thf(func_def_2080,type,
    sK946: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2081,type,
    sK947: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2082,type,
    sK948: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2083,type,
    sK949: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2084,type,
    sK950: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2085,type,
    sK951: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2086,type,
    sK952: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2087,type,
    sK953: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2088,type,
    sK954: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2089,type,
    sK955: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2090,type,
    sK956: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2091,type,
    sK957: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2092,type,
    sK958: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2093,type,
    sK959: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2094,type,
    sK960: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2095,type,
    sK961: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2096,type,
    sK962: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2097,type,
    sK963: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_2098,type,
    sK964: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2099,type,
    sK965: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2100,type,
    sK966: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_2101,type,
    sK967: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2102,type,
    sK968: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2103,type,
    sK969: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_2104,type,
    sK970: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2105,type,
    sK971: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2106,type,
    sK972: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_2107,type,
    sK973: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2108,type,
    sK974: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2109,type,
    sK975: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2110,type,
    sK976: real > real ).

thf(func_def_2111,type,
    sK977: rat > rat ).

thf(func_def_2112,type,
    sK978: num > num ).

thf(func_def_2113,type,
    sK979: nat > nat ).

thf(func_def_2114,type,
    sK980: int > int ).

thf(func_def_2115,type,
    sK981: real > real ).

thf(func_def_2116,type,
    sK982: rat > rat ).

thf(func_def_2117,type,
    sK983: num > num ).

thf(func_def_2118,type,
    sK984: nat > nat ).

thf(func_def_2119,type,
    sK985: int > int ).

thf(func_def_2120,type,
    sK986: real > real ).

thf(func_def_2121,type,
    sK987: rat > rat ).

thf(func_def_2122,type,
    sK988: num > num ).

thf(func_def_2123,type,
    sK989: nat > nat ).

thf(func_def_2124,type,
    sK990: int > int ).

thf(func_def_2125,type,
    sK991: real > real ).

thf(func_def_2126,type,
    sK992: rat > rat ).

thf(func_def_2127,type,
    sK993: num > num ).

thf(func_def_2128,type,
    sK994: nat > nat ).

thf(func_def_2129,type,
    sK995: int > int ).

thf(func_def_2130,type,
    sK996: produc9072475918466114483BT_nat > nat ).

thf(func_def_2131,type,
    sK997: produc9072475918466114483BT_nat > nat ).

thf(func_def_2132,type,
    sK998: produc9072475918466114483BT_nat > nat ).

thf(func_def_2133,type,
    sK999: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2134,type,
    sK1000: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2135,type,
    sK1001: produc9072475918466114483BT_nat > nat ).

thf(func_def_2136,type,
    sK1002: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_2137,type,
    sK1003: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2138,type,
    sK1004: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2139,type,
    sK1005: produc9072475918466114483BT_nat > nat ).

thf(func_def_2140,type,
    sK1006: produc9072475918466114483BT_nat > product_prod_nat_nat ).

thf(func_def_2141,type,
    sK1007: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2142,type,
    sK1008: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2143,type,
    sK1009: produc9072475918466114483BT_nat > nat ).

thf(func_def_2144,type,
    sK1010: produc9072475918466114483BT_nat > nat ).

thf(func_def_2145,type,
    sK1011: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2146,type,
    sK1012: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2147,type,
    sK1013: produc9072475918466114483BT_nat > nat ).

thf(func_def_2148,type,
    sK1014: produc9072475918466114483BT_nat > $o ).

thf(func_def_2149,type,
    sK1015: produc9072475918466114483BT_nat > $o ).

thf(func_def_2150,type,
    sK1016: produc9072475918466114483BT_nat > nat ).

thf(func_def_2151,type,
    sK1017: produc9072475918466114483BT_nat > nat ).

thf(func_def_2152,type,
    sK1018: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2153,type,
    sK1019: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2154,type,
    sK1020: produc9072475918466114483BT_nat > nat ).

thf(func_def_2155,type,
    sK1021: produc9072475918466114483BT_nat > nat ).

thf(func_def_2156,type,
    sK1022: produc9072475918466114483BT_nat > nat ).

thf(func_def_2157,type,
    sK1023: produc9072475918466114483BT_nat > nat ).

thf(func_def_2158,type,
    sK1024: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2159,type,
    sK1025: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2160,type,
    sK1026: produc9072475918466114483BT_nat > nat ).

thf(func_def_2161,type,
    sK1027: produc9072475918466114483BT_nat > nat ).

thf(func_def_2162,type,
    sK1028: produc9072475918466114483BT_nat > nat ).

thf(func_def_2163,type,
    sK1029: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2164,type,
    sK1030: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2165,type,
    sK1031: produc9072475918466114483BT_nat > nat ).

thf(func_def_2166,type,
    sK1032: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2167,type,
    sK1033: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2168,type,
    sK1034: produc9072475918466114483BT_nat > nat ).

thf(func_def_2169,type,
    sK1035: produc9072475918466114483BT_nat > $o ).

thf(func_def_2170,type,
    sK1036: produc9072475918466114483BT_nat > $o ).

thf(func_def_2171,type,
    sK1037: produc9072475918466114483BT_nat > nat ).

thf(func_def_2172,type,
    sK1038: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2173,type,
    sK1039: produc9072475918466114483BT_nat > nat ).

thf(func_def_2174,type,
    sK1040: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2175,type,
    sK1041: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2176,type,
    sK1042: produc9072475918466114483BT_nat > nat ).

thf(func_def_2177,type,
    sK1043: produc9072475918466114483BT_nat > $o ).

thf(func_def_2178,type,
    sK1044: produc9072475918466114483BT_nat > $o ).

thf(func_def_2179,type,
    sK1045: produc9072475918466114483BT_nat > nat ).

thf(func_def_2180,type,
    sK1046: vEBT_VEBT > $o ).

thf(func_def_2181,type,
    sK1047: vEBT_VEBT > $o ).

thf(func_def_2182,type,
    sK1048: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2183,type,
    sK1049: vEBT_VEBT > nat ).

thf(func_def_2184,type,
    sK1050: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2185,type,
    sK1051: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2186,type,
    sK1052: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2187,type,
    sK1053: list_VEBT_VEBT > nat ).

thf(func_def_2188,type,
    sK1054: vEBT_VEBT > nat ).

thf(func_def_2189,type,
    sK1055: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2190,type,
    sK1056: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2191,type,
    sK1057: list_VEBT_VEBT > nat ).

thf(func_def_2192,type,
    sK1058: vEBT_VEBT > nat ).

thf(func_def_2193,type,
    sK1059: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2194,type,
    sK1060: real > list_real > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2195,type,
    sK1061: vEBT_VEBT > list_VEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2196,type,
    sK1062: $o > list_o > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2197,type,
    sK1063: nat > list_nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2198,type,
    sK1064: int > list_int > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2199,type,
    sK1065: real > list_real > list_o > $o ).

thf(func_def_2200,type,
    sK1066: vEBT_VEBT > list_VEBT_VEBT > list_o > $o ).

thf(func_def_2201,type,
    sK1067: $o > list_o > list_o > $o ).

thf(func_def_2202,type,
    sK1068: nat > list_nat > list_o > $o ).

thf(func_def_2203,type,
    sK1069: int > list_int > list_o > $o ).

thf(func_def_2204,type,
    sK1070: real > list_VEBT_VEBT > list_real > vEBT_VEBT ).

thf(func_def_2205,type,
    sK1071: real > list_o > list_real > $o ).

thf(func_def_2206,type,
    sK1072: real > list_nat > list_real > nat ).

thf(func_def_2207,type,
    sK1073: real > list_int > list_real > int ).

thf(func_def_2208,type,
    sK1074: vEBT_VEBT > list_VEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2209,type,
    sK1075: vEBT_VEBT > list_o > list_VEBT_VEBT > $o ).

thf(func_def_2210,type,
    sK1076: vEBT_VEBT > list_nat > list_VEBT_VEBT > nat ).

thf(func_def_2211,type,
    sK1077: vEBT_VEBT > list_int > list_VEBT_VEBT > int ).

thf(func_def_2212,type,
    sK1078: $o > list_VEBT_VEBT > list_o > vEBT_VEBT ).

thf(func_def_2213,type,
    sK1079: $o > list_o > list_o > $o ).

thf(func_def_2214,type,
    sK1080: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2215,type,
    sK1081: produc9072475918466114483BT_nat > nat ).

thf(func_def_2216,type,
    sK1082: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2217,type,
    sK1083: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2218,type,
    sK1084: produc9072475918466114483BT_nat > nat ).

thf(func_def_2219,type,
    sK1085: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_2220,type,
    sK1086: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_2221,type,
    sK1087: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_2222,type,
    sK1088: produc9072475918466114483BT_nat > nat ).

thf(func_def_2223,type,
    sK1089: produc9072475918466114483BT_nat > $o ).

thf(func_def_2224,type,
    sK1090: produc9072475918466114483BT_nat > $o ).

thf(func_def_2225,type,
    sK1091: produc9072475918466114483BT_nat > nat ).

thf(func_def_2226,type,
    sK1092: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2227,type,
    sK1093: vEBT_VEBT > nat > nat ).

thf(func_def_2228,type,
    sK1094: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2229,type,
    sK1095: vEBT_VEBT > nat > nat ).

thf(func_def_2230,type,
    sK1096: vEBT_VEBT > nat > nat ).

thf(func_def_2231,type,
    sK1097: vEBT_VEBT > nat > nat ).

thf(func_def_2232,type,
    sK1098: vEBT_VEBT > nat > nat ).

thf(func_def_2233,type,
    sK1099: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2234,type,
    sK1100: vEBT_VEBT > nat > nat ).

thf(func_def_2235,type,
    sK1101: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2236,type,
    sK1102: vEBT_VEBT > nat > nat ).

thf(func_def_2237,type,
    sK1103: vEBT_VEBT > nat > nat ).

thf(func_def_2238,type,
    sK1104: vEBT_VEBT > nat > nat ).

thf(func_def_2239,type,
    sK1105: vEBT_VEBT > nat > nat ).

thf(func_def_2240,type,
    sK1106: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2241,type,
    sK1107: vEBT_VEBT > nat > nat ).

thf(func_def_2242,type,
    sK1108: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2243,type,
    sK1109: vEBT_VEBT > nat > nat ).

thf(func_def_2244,type,
    sK1110: vEBT_VEBT > nat > nat ).

thf(func_def_2245,type,
    sK1111: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2246,type,
    sK1112: vEBT_VEBT > nat > nat ).

thf(func_def_2247,type,
    sK1113: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2248,type,
    sK1114: vEBT_VEBT > nat > nat ).

thf(func_def_2249,type,
    sK1115: vEBT_VEBT > nat > nat ).

thf(func_def_2250,type,
    sK1116: vEBT_VEBT > $o ).

thf(func_def_2251,type,
    sK1117: vEBT_VEBT > $o ).

thf(func_def_2252,type,
    sK1118: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2253,type,
    sK1119: vEBT_VEBT > nat ).

thf(func_def_2254,type,
    sK1120: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2255,type,
    sK1121: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2256,type,
    sK1122: vEBT_VEBT > nat ).

thf(func_def_2257,type,
    sK1123: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2258,type,
    sK1124: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2259,type,
    sK1125: vEBT_VEBT > $o ).

thf(func_def_2260,type,
    sK1126: vEBT_VEBT > $o ).

thf(func_def_2261,type,
    sK1127: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2262,type,
    sK1128: list_VEBT_VEBT > nat ).

thf(func_def_2263,type,
    sK1129: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_2264,type,
    sK1130: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_2265,type,
    sK1131: nat > vEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_2266,type,
    sK1132: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2267,type,
    sK1133: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2268,type,
    sK1134: vEBT_VEBT > nat ).

thf(func_def_2269,type,
    sK1135: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2270,type,
    sK1136: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2271,type,
    sK1137: vEBT_VEBT > $o ).

thf(func_def_2272,type,
    sK1138: vEBT_VEBT > $o ).

thf(func_def_2273,type,
    sK1139: vEBT_VEBT > nat ).

thf(func_def_2274,type,
    sK1140: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2275,type,
    sK1141: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2276,type,
    sK1142: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2277,type,
    sK1143: list_VEBT_VEBT > nat ).

thf(func_def_2278,type,
    sK1144: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_2279,type,
    sK1145: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_2280,type,
    sK1146: nat > vEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_2281,type,
    sK1147: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2282,type,
    sK1148: vEBT_VEBT > nat ).

thf(func_def_2283,type,
    sK1149: vEBT_VEBT > nat ).

thf(func_def_2284,type,
    sK1150: vEBT_VEBT > nat ).

thf(func_def_2285,type,
    sK1151: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2286,type,
    sK1152: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2287,type,
    sK1153: vEBT_VEBT > nat ).

thf(func_def_2288,type,
    sK1154: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2289,type,
    sK1155: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2290,type,
    sK1156: vEBT_VEBT > $o ).

thf(func_def_2291,type,
    sK1157: vEBT_VEBT > $o ).

thf(func_def_2292,type,
    sK1158: vEBT_VEBT > $o ).

thf(func_def_2293,type,
    sK1159: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2294,type,
    sK1160: vEBT_VEBT > nat ).

thf(func_def_2295,type,
    sK1161: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2296,type,
    sK1162: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2297,type,
    sK1163: vEBT_VEBT > nat ).

thf(func_def_2298,type,
    sK1164: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2299,type,
    sK1165: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2300,type,
    sK1166: vEBT_VEBT > $o ).

thf(func_def_2301,type,
    sK1167: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2302,type,
    sK1168: vEBT_VEBT > $o ).

thf(func_def_2303,type,
    sK1169: vEBT_VEBT > $o ).

thf(func_def_2304,type,
    sK1170: vEBT_VEBT > $o ).

thf(func_def_2305,type,
    sK1171: vEBT_VEBT > $o ).

thf(func_def_2306,type,
    sK1172: ( nat > $o ) > nat ).

thf(func_def_2307,type,
    sK1173: nat > nat > nat ).

thf(func_def_2308,type,
    sK1174: nat > nat > nat ).

thf(func_def_2309,type,
    sK1175: vEBT_VEBT > option_nat > $o ).

thf(func_def_2310,type,
    sK1176: vEBT_VEBT > option_nat > $o ).

thf(func_def_2311,type,
    sK1177: option_nat > vEBT_VEBT > nat ).

thf(func_def_2312,type,
    sK1178: option_nat > vEBT_VEBT > nat ).

thf(func_def_2313,type,
    sK1179: option_nat > vEBT_VEBT > nat ).

thf(func_def_2314,type,
    sK1180: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2315,type,
    sK1181: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2316,type,
    sK1182: vEBT_VEBT > nat ).

thf(func_def_2317,type,
    sK1183: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2318,type,
    sK1184: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2319,type,
    sK1185: vEBT_VEBT > option_nat > $o ).

thf(func_def_2320,type,
    sK1186: vEBT_VEBT > option_nat > $o ).

thf(func_def_2321,type,
    sK1187: option_nat > vEBT_VEBT > nat ).

thf(func_def_2322,type,
    sK1188: option_nat > vEBT_VEBT > nat ).

thf(func_def_2323,type,
    sK1189: option_nat > vEBT_VEBT > nat ).

thf(func_def_2324,type,
    sK1190: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2325,type,
    sK1191: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2326,type,
    sK1192: vEBT_VEBT > nat ).

thf(func_def_2327,type,
    sK1193: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2328,type,
    sK1194: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2329,type,
    sK1195: ( nat > $o ) > nat ).

thf(func_def_2330,type,
    sK1196: ( extended_enat > $o ) > extended_enat ).

thf(func_def_2331,type,
    sK1197: real > real > real ).

thf(func_def_2332,type,
    sK1198: rat > rat > rat ).

thf(func_def_2333,type,
    sK1199: ( nat > $o ) > nat ).

thf(func_def_2334,type,
    sK1200: ( nat > $o ) > nat ).

thf(func_def_2335,type,
    sK1201: ( int > $o ) > int > int ).

thf(func_def_2336,type,
    sK1202: ( int > $o ) > int > int ).

thf(func_def_2337,type,
    sK1203: nat > real > real ).

thf(func_def_2338,type,
    sK1204: real > nat > real ).

thf(func_def_2339,type,
    sK1205: real > nat > real ).

thf(func_def_2340,type,
    sK1206: real > real > nat ).

thf(func_def_2341,type,
    sK1207: real > real > nat ).

thf(func_def_2342,type,
    sK1208: ( int > $o ) > int > int ).

thf(func_def_2343,type,
    sK1209: nat > nat > nat > nat ).

thf(func_def_2344,type,
    sK1210: nat > nat > nat > nat ).

thf(func_def_2345,type,
    sK1211: int > int > int > int ).

thf(func_def_2346,type,
    sK1212: int > int > int > int ).

thf(func_def_2347,type,
    sK1213: nat > nat > nat > nat ).

thf(func_def_2348,type,
    sK1214: nat > nat > nat > nat ).

thf(func_def_2349,type,
    sK1215: int > int > int > int ).

thf(func_def_2350,type,
    sK1216: int > int > int > int ).

thf(func_def_2351,type,
    sK1217: code_integer > code_integer > code_integer ).

thf(func_def_2352,type,
    sK1218: complex > complex > complex ).

thf(func_def_2353,type,
    sK1219: real > real > real ).

thf(func_def_2354,type,
    sK1220: rat > rat > rat ).

thf(func_def_2355,type,
    sK1221: nat > nat > nat ).

thf(func_def_2356,type,
    sK1222: int > int > int ).

thf(func_def_2357,type,
    sK1223: int > int > int > int ).

thf(func_def_2358,type,
    sK1224: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_2359,type,
    sK1225: code_integer > code_integer > code_integer ).

thf(func_def_2360,type,
    sK1226: real > real > real ).

thf(func_def_2361,type,
    sK1227: rat > rat > rat ).

thf(func_def_2362,type,
    sK1228: nat > nat > nat ).

thf(func_def_2363,type,
    sK1229: int > int > int ).

thf(func_def_2364,type,
    sK1230: code_integer > code_integer > code_integer ).

thf(func_def_2365,type,
    sK1231: real > real > real ).

thf(func_def_2366,type,
    sK1232: rat > rat > rat ).

thf(func_def_2367,type,
    sK1233: nat > nat > nat ).

thf(func_def_2368,type,
    sK1234: int > int > int ).

thf(func_def_2369,type,
    sK1235: code_integer > code_integer > code_integer ).

thf(func_def_2370,type,
    sK1236: real > real > real ).

thf(func_def_2371,type,
    sK1237: rat > rat > rat ).

thf(func_def_2372,type,
    sK1238: nat > nat > nat ).

thf(func_def_2373,type,
    sK1239: int > int > int ).

thf(func_def_2374,type,
    sK1240: code_integer > code_integer > code_integer ).

thf(func_def_2375,type,
    sK1241: real > real > real ).

thf(func_def_2376,type,
    sK1242: rat > rat > rat ).

thf(func_def_2377,type,
    sK1243: nat > nat > nat ).

thf(func_def_2378,type,
    sK1244: int > int > int ).

thf(func_def_2379,type,
    sK1245: nat > ( nat > $o ) > nat ).

thf(func_def_2380,type,
    sK1246: ( nat > nat > $o ) > nat ).

thf(func_def_2381,type,
    sK1247: ( nat > nat > $o ) > nat ).

thf(func_def_2382,type,
    sK1248: ( nat > nat > $o ) > nat ).

thf(func_def_2383,type,
    sK1249: nat > nat > nat ).

thf(func_def_2384,type,
    sK1250: nat > nat > nat ).

thf(func_def_2385,type,
    sK1251: nat > nat > nat ).

thf(func_def_2386,type,
    sK1252: nat > nat > nat ).

thf(func_def_2387,type,
    sK1253: nat > nat > nat > nat ).

thf(func_def_2388,type,
    sK1254: nat > nat > nat > nat ).

thf(func_def_2389,type,
    sK1255: code_integer > code_integer > code_integer ).

thf(func_def_2390,type,
    sK1256: nat > nat > nat ).

thf(func_def_2391,type,
    sK1257: int > int > int ).

thf(func_def_2392,type,
    sK1258: nat > nat > nat > nat ).

thf(func_def_2393,type,
    sK1259: nat > nat > nat > nat ).

thf(func_def_2394,type,
    sK1260: nat > nat > nat > nat ).

thf(func_def_2395,type,
    sK1261: nat > nat > nat ).

thf(func_def_2396,type,
    sK1262: nat > nat > nat ).

thf(func_def_2397,type,
    sK1263: nat > nat > nat ).

thf(func_def_2398,type,
    sK1264: nat > nat > nat ).

thf(func_def_2399,type,
    sK1265: int > int > int ).

thf(func_def_2400,type,
    sK1266: code_integer > code_integer > code_integer ).

thf(func_def_2401,type,
    sK1267: code_integer > code_integer ).

thf(func_def_2402,type,
    sK1268: nat > nat ).

thf(func_def_2403,type,
    sK1269: int > int ).

thf(func_def_2404,type,
    sK1270: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2405,type,
    sK1271: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2406,type,
    sK1272: set_real > real > set_real ).

thf(func_def_2407,type,
    sK1273: set_set_nat > set_nat > set_set_nat ).

thf(func_def_2408,type,
    sK1274: set_nat > nat > set_nat ).

thf(func_def_2409,type,
    sK1275: set_int > int > set_int ).

thf(func_def_2410,type,
    sK1276: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2411,type,
    sK1277: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2412,type,
    sK1278: set_real > real > set_real ).

thf(func_def_2413,type,
    sK1279: set_set_nat > set_nat > set_set_nat ).

thf(func_def_2414,type,
    sK1280: set_nat > nat > set_nat ).

thf(func_def_2415,type,
    sK1281: set_int > int > set_int ).

thf(func_def_2416,type,
    sK1282: produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2417,type,
    sK1283: produc2285326912895808259nt_int > int ).

thf(func_def_2418,type,
    sK1284: produc2285326912895808259nt_int > int ).

thf(func_def_2419,type,
    sK1285: produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2420,type,
    sK1286: produc7773217078559923341nt_int > int ).

thf(func_def_2421,type,
    sK1287: produc7773217078559923341nt_int > int ).

thf(func_def_2422,type,
    sK1288: product_prod_int_int > int ).

thf(func_def_2423,type,
    sK1289: product_prod_int_int > int ).

thf(func_def_2424,type,
    sK1290: ( nat > $o ) > nat ).

thf(func_def_2425,type,
    sK1291: nat > nat > nat ).

thf(func_def_2426,type,
    sK1292: nat > nat > nat ).

thf(func_def_2427,type,
    sK1293: nat > nat > nat ).

thf(func_def_2428,type,
    sK1294: set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2429,type,
    sK1295: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_2430,type,
    sK1296: set_complex > set_complex ).

thf(func_def_2431,type,
    sK1297: set_complex > complex ).

thf(func_def_2432,type,
    sK1298: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2433,type,
    sK1299: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2434,type,
    sK1300: set_real > set_real ).

thf(func_def_2435,type,
    sK1301: set_real > real ).

thf(func_def_2436,type,
    sK1302: set_nat > set_nat ).

thf(func_def_2437,type,
    sK1303: set_nat > nat ).

thf(func_def_2438,type,
    sK1304: set_int > set_int ).

thf(func_def_2439,type,
    sK1305: set_int > int ).

thf(func_def_2440,type,
    sK1306: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2441,type,
    sK1307: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2442,type,
    sK1308: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2443,type,
    sK1309: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2444,type,
    sK1310: ( set_complex > $o ) > complex ).

thf(func_def_2445,type,
    sK1311: ( set_complex > $o ) > set_complex ).

thf(func_def_2446,type,
    sK1312: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2447,type,
    sK1313: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2448,type,
    sK1314: ( set_real > $o ) > real ).

thf(func_def_2449,type,
    sK1315: ( set_real > $o ) > set_real ).

thf(func_def_2450,type,
    sK1316: ( set_nat > $o ) > nat ).

thf(func_def_2451,type,
    sK1317: ( set_nat > $o ) > set_nat ).

thf(func_def_2452,type,
    sK1318: ( set_int > $o ) > int ).

thf(func_def_2453,type,
    sK1319: ( set_int > $o ) > set_int ).

thf(func_def_2454,type,
    sK1320: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2455,type,
    sK1321: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2456,type,
    sK1322: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2457,type,
    sK1323: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2458,type,
    sK1324: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2459,type,
    sK1325: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2460,type,
    sK1326: ( set_complex > $o ) > complex ).

thf(func_def_2461,type,
    sK1327: ( set_complex > $o ) > set_complex ).

thf(func_def_2462,type,
    sK1328: ( set_complex > $o ) > complex ).

thf(func_def_2463,type,
    sK1329: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2464,type,
    sK1330: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2465,type,
    sK1331: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2466,type,
    sK1332: ( set_real > $o ) > real ).

thf(func_def_2467,type,
    sK1333: ( set_real > $o ) > set_real ).

thf(func_def_2468,type,
    sK1334: ( set_real > $o ) > real ).

thf(func_def_2469,type,
    sK1335: ( set_nat > $o ) > nat ).

thf(func_def_2470,type,
    sK1336: ( set_nat > $o ) > set_nat ).

thf(func_def_2471,type,
    sK1337: ( set_nat > $o ) > nat ).

thf(func_def_2472,type,
    sK1338: ( set_int > $o ) > int ).

thf(func_def_2473,type,
    sK1339: ( set_int > $o ) > set_int ).

thf(func_def_2474,type,
    sK1340: ( set_int > $o ) > int ).

thf(func_def_2475,type,
    sK1341: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2476,type,
    sK1342: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2477,type,
    sK1343: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2478,type,
    sK1344: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2479,type,
    sK1345: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2480,type,
    sK1346: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2481,type,
    sK1347: ( set_complex > $o ) > complex ).

thf(func_def_2482,type,
    sK1348: ( set_complex > $o ) > set_complex ).

thf(func_def_2483,type,
    sK1349: ( set_complex > $o ) > set_complex ).

thf(func_def_2484,type,
    sK1350: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2485,type,
    sK1351: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2486,type,
    sK1352: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2487,type,
    sK1353: ( set_real > $o ) > real ).

thf(func_def_2488,type,
    sK1354: ( set_real > $o ) > set_real ).

thf(func_def_2489,type,
    sK1355: ( set_real > $o ) > set_real ).

thf(func_def_2490,type,
    sK1356: ( set_nat > $o ) > nat ).

thf(func_def_2491,type,
    sK1357: ( set_nat > $o ) > set_nat ).

thf(func_def_2492,type,
    sK1358: ( set_nat > $o ) > set_nat ).

thf(func_def_2493,type,
    sK1359: ( set_int > $o ) > int ).

thf(func_def_2494,type,
    sK1360: ( set_int > $o ) > set_int ).

thf(func_def_2495,type,
    sK1361: ( set_int > $o ) > set_int ).

thf(func_def_2496,type,
    sK1362: ( complex > rat ) > ( set_complex > $o ) > complex ).

thf(func_def_2497,type,
    sK1363: ( complex > rat ) > ( set_complex > $o ) > set_complex ).

thf(func_def_2498,type,
    sK1364: ( real > rat ) > ( set_real > $o ) > real ).

thf(func_def_2499,type,
    sK1365: ( real > rat ) > ( set_real > $o ) > set_real ).

thf(func_def_2500,type,
    sK1366: ( nat > rat ) > ( set_nat > $o ) > nat ).

thf(func_def_2501,type,
    sK1367: ( nat > rat ) > ( set_nat > $o ) > set_nat ).

thf(func_def_2502,type,
    sK1368: ( int > rat ) > ( set_int > $o ) > int ).

thf(func_def_2503,type,
    sK1369: ( int > rat ) > ( set_int > $o ) > set_int ).

thf(func_def_2504,type,
    sK1370: ( complex > num ) > ( set_complex > $o ) > complex ).

thf(func_def_2505,type,
    sK1371: ( complex > num ) > ( set_complex > $o ) > set_complex ).

thf(func_def_2506,type,
    sK1372: ( real > num ) > ( set_real > $o ) > real ).

thf(func_def_2507,type,
    sK1373: ( real > num ) > ( set_real > $o ) > set_real ).

thf(func_def_2508,type,
    sK1374: ( nat > num ) > ( set_nat > $o ) > nat ).

thf(func_def_2509,type,
    sK1375: ( nat > num ) > ( set_nat > $o ) > set_nat ).

thf(func_def_2510,type,
    sK1376: ( int > num ) > ( set_int > $o ) > int ).

thf(func_def_2511,type,
    sK1377: ( int > num ) > ( set_int > $o ) > set_int ).

thf(func_def_2512,type,
    sK1378: ( complex > nat ) > ( set_complex > $o ) > complex ).

thf(func_def_2513,type,
    sK1379: ( complex > nat ) > ( set_complex > $o ) > set_complex ).

thf(func_def_2514,type,
    sK1380: ( real > nat ) > ( set_real > $o ) > real ).

thf(func_def_2515,type,
    sK1381: ( real > nat ) > ( set_real > $o ) > set_real ).

thf(func_def_2516,type,
    sK1382: ( set_real > $o ) > real ).

thf(func_def_2517,type,
    sK1383: ( set_real > $o ) > set_real ).

thf(func_def_2518,type,
    sK1384: ( set_rat > $o ) > rat ).

thf(func_def_2519,type,
    sK1385: ( set_rat > $o ) > set_rat ).

thf(func_def_2520,type,
    sK1386: ( set_num > $o ) > num ).

thf(func_def_2521,type,
    sK1387: ( set_num > $o ) > set_num ).

thf(func_def_2522,type,
    sK1388: ( set_nat > $o ) > nat ).

thf(func_def_2523,type,
    sK1389: ( set_nat > $o ) > set_nat ).

thf(func_def_2524,type,
    sK1390: ( set_int > $o ) > int ).

thf(func_def_2525,type,
    sK1391: ( set_int > $o ) > set_int ).

thf(func_def_2526,type,
    sK1392: ( set_real > $o ) > real ).

thf(func_def_2527,type,
    sK1393: ( set_real > $o ) > set_real ).

thf(func_def_2528,type,
    sK1394: ( set_rat > $o ) > rat ).

thf(func_def_2529,type,
    sK1395: ( set_rat > $o ) > set_rat ).

thf(func_def_2530,type,
    sK1396: ( set_num > $o ) > num ).

thf(func_def_2531,type,
    sK1397: ( set_num > $o ) > set_num ).

thf(func_def_2532,type,
    sK1398: ( set_nat > $o ) > nat ).

thf(func_def_2533,type,
    sK1399: ( set_nat > $o ) > set_nat ).

thf(func_def_2534,type,
    sK1400: ( set_int > $o ) > int ).

thf(func_def_2535,type,
    sK1401: ( set_int > $o ) > set_int ).

thf(func_def_2536,type,
    sK1402: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_2537,type,
    sK1403: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2538,type,
    sK1404: ( set_set_nat > $o ) > set_set_nat > set_nat ).

thf(func_def_2539,type,
    sK1405: ( set_set_nat > $o ) > set_set_nat > set_set_nat ).

thf(func_def_2540,type,
    sK1406: ( set_complex > $o ) > set_complex > complex ).

thf(func_def_2541,type,
    sK1407: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_2542,type,
    sK1408: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2543,type,
    sK1409: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2544,type,
    sK1410: ( set_real > $o ) > set_real > real ).

thf(func_def_2545,type,
    sK1411: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2546,type,
    sK1412: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2547,type,
    sK1413: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2548,type,
    sK1414: ( set_int > $o ) > set_int > int ).

thf(func_def_2549,type,
    sK1415: ( set_int > $o ) > set_int > set_int ).

thf(func_def_2550,type,
    sK1416: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat ).

thf(func_def_2551,type,
    sK1417: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2552,type,
    sK1418: ( set_set_nat > $o ) > set_set_nat > set_nat ).

thf(func_def_2553,type,
    sK1419: ( set_set_nat > $o ) > set_set_nat > set_set_nat ).

thf(func_def_2554,type,
    sK1420: ( set_complex > $o ) > set_complex > complex ).

thf(func_def_2555,type,
    sK1421: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_2556,type,
    sK1422: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2557,type,
    sK1423: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2558,type,
    sK1424: ( set_real > $o ) > set_real > real ).

thf(func_def_2559,type,
    sK1425: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2560,type,
    sK1426: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_2561,type,
    sK1427: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2562,type,
    sK1428: ( set_int > $o ) > set_int > int ).

thf(func_def_2563,type,
    sK1429: ( set_int > $o ) > set_int > set_int ).

thf(func_def_2564,type,
    sK1430: ( code_integer > $o ) > code_integer ).

thf(func_def_2565,type,
    sK1431: ( code_integer > $o ) > $o ).

thf(func_def_2566,type,
    sK1432: ( code_integer > $o ) > code_integer ).

thf(func_def_2567,type,
    sK1433: ( nat > $o ) > nat ).

thf(func_def_2568,type,
    sK1434: ( nat > $o ) > $o ).

thf(func_def_2569,type,
    sK1435: ( nat > $o ) > nat ).

thf(func_def_2570,type,
    sK1436: ( int > $o ) > int ).

thf(func_def_2571,type,
    sK1437: ( int > $o ) > $o ).

thf(func_def_2572,type,
    sK1438: ( int > $o ) > int ).

thf(func_def_2573,type,
    sK1439: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2574,type,
    sK1440: set_real > set_real > real ).

thf(func_def_2575,type,
    sK1441: set_set_nat > set_set_nat > set_nat ).

thf(func_def_2576,type,
    sK1442: set_int > set_int > int ).

thf(func_def_2577,type,
    sK1443: set_nat > set_nat > nat ).

thf(func_def_2578,type,
    sK1444: ( int > $o ) > int > int ).

thf(func_def_2579,type,
    sK1445: ( int > $o ) > int > int ).

thf(func_def_2580,type,
    sK1446: ( set_Pr4329608150637261639at_nat > $o ) > produc3843707927480180839at_nat ).

thf(func_def_2581,type,
    sK1447: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2582,type,
    sK1448: ( set_set_nat > $o ) > set_nat ).

thf(func_def_2583,type,
    sK1449: ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2584,type,
    sK1450: ( set_complex > $o ) > complex ).

thf(func_def_2585,type,
    sK1451: ( set_complex > $o ) > set_complex ).

thf(func_def_2586,type,
    sK1452: ( set_Pr1261947904930325089at_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2587,type,
    sK1453: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2588,type,
    sK1454: ( set_real > $o ) > real ).

thf(func_def_2589,type,
    sK1455: ( set_real > $o ) > set_real ).

thf(func_def_2590,type,
    sK1456: ( set_int > $o ) > int ).

thf(func_def_2591,type,
    sK1457: ( set_int > $o ) > set_int ).

thf(func_def_2592,type,
    sK1458: ( set_nat > $o ) > nat ).

thf(func_def_2593,type,
    sK1459: ( set_nat > $o ) > set_nat ).

thf(func_def_2594,type,
    sK1460: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2595,type,
    sK1461: ( set_complex > $o ) > set_complex ).

thf(func_def_2596,type,
    sK1462: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2597,type,
    sK1463: ( set_real > $o ) > set_real ).

thf(func_def_2598,type,
    sK1464: ( set_int > $o ) > set_int ).

thf(func_def_2599,type,
    sK1465: ( set_nat > $o ) > set_nat ).

thf(func_def_2600,type,
    sK1466: ( int > $o ) > int ).

thf(func_def_2601,type,
    sK1467: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2602,type,
    sK1468: ( int > $o ) > int > int ).

thf(func_def_2603,type,
    sK1469: ( int > $o ) > int > int ).

thf(func_def_2604,type,
    sK1470: ( int > $o ) > int ).

thf(func_def_2605,type,
    sK1471: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2606,type,
    sK1472: ( int > $o ) > int > int ).

thf(func_def_2607,type,
    sK1473: ( int > $o ) > int > int ).

thf(func_def_2608,type,
    sK1474: int > ( int > $o ) > int ).

thf(func_def_2609,type,
    sK1475: int > ( int > $o ) > int ).

thf(func_def_2610,type,
    sK1476: set_Pr4329608150637261639at_nat > ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat ).

thf(func_def_2611,type,
    sK1477: set_set_nat > ( set_set_nat > $o ) > set_set_nat ).

thf(func_def_2612,type,
    sK1478: set_complex > ( set_complex > $o ) > set_complex ).

thf(func_def_2613,type,
    sK1479: set_Pr1261947904930325089at_nat > ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_2614,type,
    sK1480: set_real > ( set_real > $o ) > set_real ).

thf(func_def_2615,type,
    sK1481: set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_2616,type,
    sK1482: set_int > ( set_int > $o ) > set_int ).

thf(func_def_2617,type,
    sK1483: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2618,type,
    sK1484: ( set_set_nat > $o ) > set_set_nat > set_set_nat ).

thf(func_def_2619,type,
    sK1485: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_2620,type,
    sK1486: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2621,type,
    sK1487: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2622,type,
    sK1488: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2623,type,
    sK1489: ( set_int > $o ) > set_int > set_int ).

thf(func_def_2624,type,
    sK1490: ( set_Pr4329608150637261639at_nat > $o ) > set_Pr4329608150637261639at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_2625,type,
    sK1491: ( set_complex > $o ) > set_complex > set_complex ).

thf(func_def_2626,type,
    sK1492: ( set_Pr1261947904930325089at_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_2627,type,
    sK1493: ( set_real > $o ) > set_real > set_real ).

thf(func_def_2628,type,
    sK1494: ( set_int > $o ) > set_int > set_int ).

thf(func_def_2629,type,
    sK1495: ( set_nat > $o ) > set_nat > set_nat ).

thf(func_def_2630,type,
    sK1496: ( int > $o ) > int > int ).

thf(func_def_2631,type,
    sK1497: real > real > ( real > real > $o ) > real ).

thf(func_def_2632,type,
    sK1498: real > real > real > ( real > real > $o ) > real ).

thf(func_def_2633,type,
    sK1499: real > real > real > ( real > real > $o ) > real ).

thf(func_def_2634,type,
    sK1500: ( real > real > $o ) > real ).

thf(func_def_2635,type,
    sK1501: ( real > real > $o ) > real ).

thf(func_def_2636,type,
    sK1502: ( real > real > $o ) > real ).

thf(func_def_2637,type,
    sK1503: product_prod_num_num > num ).

thf(func_def_2638,type,
    sK1504: product_prod_num_num > num ).

thf(func_def_2639,type,
    sK1505: product_prod_num_num > num ).

thf(func_def_2640,type,
    sK1506: product_prod_num_num > num ).

thf(func_def_2641,type,
    sK1507: product_prod_num_num > num ).

thf(func_def_2642,type,
    sK1508: product_prod_num_num > num ).

thf(func_def_2643,type,
    sK1509: product_prod_num_num > num ).

thf(func_def_2644,type,
    sK1510: product_prod_num_num > num ).

thf(func_def_2645,type,
    sK1511: product_prod_num_num > num ).

thf(func_def_2646,type,
    sK1512: product_prod_num_num > num ).

thf(func_def_2647,type,
    sK1513: product_prod_num_num > num ).

thf(func_def_2648,type,
    sK1514: product_prod_num_num > num ).

thf(func_def_2649,type,
    sK1515: ( int > $o ) > int > int ).

thf(func_def_2650,type,
    sK1516: ( int > $o ) > int > int ).

thf(func_def_2651,type,
    sK1517: int > set_int > int > int ).

thf(func_def_2652,type,
    sK1518: int > set_int > int > int ).

thf(func_def_2653,type,
    sK1519: int > set_int > int > int ).

thf(func_def_2654,type,
    sK1520: int > set_int > int > int ).

thf(func_def_2655,type,
    sK1521: int > set_int > int > int ).

thf(func_def_2656,type,
    sK1522: int > set_int > int > int ).

thf(func_def_2657,type,
    sK1523: int > set_int > int > int ).

thf(func_def_2658,type,
    sK1524: int > set_int > int > int ).

thf(func_def_2659,type,
    sK1525: int > set_int > int > int ).

thf(func_def_2660,type,
    sK1526: int > set_int > int > int ).

thf(func_def_2661,type,
    sK1527: int > set_int > int > int ).

thf(func_def_2662,type,
    sK1528: int > set_int > int > int ).

thf(func_def_2663,type,
    sK1529: int > set_int > int > int ).

thf(func_def_2664,type,
    sK1530: int > set_int > int > int ).

thf(func_def_2665,type,
    sK1531: int > set_int > int > int ).

thf(func_def_2666,type,
    sK1532: int > set_int > int > int ).

thf(func_def_2667,type,
    sK1533: int > set_int > int > int ).

thf(func_def_2668,type,
    sK1534: int > set_int > int > int ).

thf(func_def_2669,type,
    sK1535: int > set_int > int > int ).

thf(func_def_2670,type,
    sK1536: int > set_int > int > int ).

thf(func_def_2671,type,
    sK1537: int > set_int > int > int ).

thf(func_def_2672,type,
    sK1538: int > set_int > int > int ).

thf(func_def_2673,type,
    sK1539: int > set_int > int > int ).

thf(func_def_2674,type,
    sK1540: int > set_int > int > int ).

thf(func_def_2675,type,
    sK1541: ( int > $o ) > int > int ).

thf(func_def_2676,type,
    sK1542: ( int > $o ) > int > int ).

thf(func_def_2677,type,
    sK1543: set_int > ( int > $o ) > int > int ).

thf(func_def_2678,type,
    sK1544: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2679,type,
    sK1545: ( int > $o ) > int > int ).

thf(func_def_2680,type,
    sK1546: ( int > $o ) > int > int ).

thf(func_def_2681,type,
    sK1547: set_int > ( int > $o ) > int > int ).

thf(func_def_2682,type,
    sK1548: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2683,type,
    sK1549: ( int > int > $o ) > int ).

thf(func_def_2684,type,
    sK1550: ( int > int > $o ) > int ).

thf(func_def_2685,type,
    sK1551: ( int > int > $o ) > int ).

thf(func_def_2686,type,
    sK1552: ( int > int > $o ) > int ).

thf(func_def_2687,type,
    sK1553: int > int > nat ).

thf(func_def_2688,type,
    sK1554: nat > nat > nat ).

thf(func_def_2689,type,
    sK1555: real > int ).

thf(func_def_2690,type,
    sK1556: rat > int ).

thf(func_def_2691,type,
    sK1557: real > int ).

thf(func_def_2692,type,
    sK1558: rat > int ).

thf(func_def_2693,type,
    sK1559: real > int ).

thf(func_def_2694,type,
    sK1560: rat > int ).

thf(func_def_2695,type,
    sK1561: real > int ).

thf(func_def_2696,type,
    sK1562: rat > int ).

thf(func_def_2697,type,
    sK1563: real > int ).

thf(func_def_2698,type,
    sK1564: rat > int ).

thf(func_def_2699,type,
    sK1565: int > nat ).

thf(func_def_2700,type,
    sK1566: code_integer > nat ).

thf(func_def_2701,type,
    sK1567: int > nat ).

thf(func_def_2702,type,
    sK1568: nat > nat ).

thf(func_def_2703,type,
    sK1569: vEBT_VEBT > nat ).

thf(func_def_2704,type,
    sK1570: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2705,type,
    sK1571: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2706,type,
    sK1572: vEBT_VEBT > nat > $o > $o ).

thf(func_def_2707,type,
    sK1573: vEBT_VEBT > nat > $o > $o ).

thf(func_def_2708,type,
    sK1574: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2709,type,
    sK1575: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2710,type,
    sK1576: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2711,type,
    sK1577: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2712,type,
    sK1578: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2713,type,
    sK1579: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2714,type,
    sK1580: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2715,type,
    sK1581: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2716,type,
    sK1582: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2717,type,
    sK1583: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2718,type,
    sK1584: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2719,type,
    sK1585: ( real > $o ) > real ).

thf(func_def_2720,type,
    sK1586: ( list_nat > $o ) > list_nat ).

thf(func_def_2721,type,
    sK1587: ( set_nat > $o ) > set_nat ).

thf(func_def_2722,type,
    sK1588: ( nat > $o ) > nat ).

thf(func_def_2723,type,
    sK1589: ( int > $o ) > int ).

thf(func_def_2724,type,
    sK1590: ( complex > $o ) > complex ).

thf(func_def_2725,type,
    sK1591: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_2726,type,
    sK1592: ( real > nat > $o ) > set_nat > set_real > nat ).

thf(func_def_2727,type,
    sK1593: ( real > nat > $o ) > set_nat > set_real > real ).

thf(func_def_2728,type,
    sK1594: ( real > int > $o ) > set_int > set_real > int ).

thf(func_def_2729,type,
    sK1595: ( real > int > $o ) > set_int > set_real > real ).

thf(func_def_2730,type,
    sK1596: ( real > complex > $o ) > set_complex > set_real > complex ).

thf(func_def_2731,type,
    sK1597: ( real > complex > $o ) > set_complex > set_real > real ).

thf(func_def_2732,type,
    sK1598: ( nat > nat > $o ) > set_nat > set_nat > nat ).

thf(func_def_2733,type,
    sK1599: ( nat > nat > $o ) > set_nat > set_nat > nat ).

thf(func_def_2734,type,
    sK1600: ( nat > int > $o ) > set_int > set_nat > int ).

thf(func_def_2735,type,
    sK1601: ( nat > int > $o ) > set_int > set_nat > nat ).

thf(func_def_2736,type,
    sK1602: ( nat > complex > $o ) > set_complex > set_nat > complex ).

thf(func_def_2737,type,
    sK1603: ( nat > complex > $o ) > set_complex > set_nat > nat ).

thf(func_def_2738,type,
    sK1604: ( int > nat > $o ) > set_nat > set_int > nat ).

thf(func_def_2739,type,
    sK1605: ( int > nat > $o ) > set_nat > set_int > int ).

thf(func_def_2740,type,
    sK1606: ( int > int > $o ) > set_int > set_int > int ).

thf(func_def_2741,type,
    sK1607: ( int > int > $o ) > set_int > set_int > int ).

thf(func_def_2742,type,
    sK1608: ( int > complex > $o ) > set_complex > set_int > complex ).

thf(func_def_2743,type,
    sK1609: ( int > complex > $o ) > set_complex > set_int > int ).

thf(func_def_2744,type,
    sK1610: ( complex > nat > $o ) > set_nat > set_complex > nat ).

thf(func_def_2745,type,
    sK1611: ( complex > nat > $o ) > set_nat > set_complex > complex ).

thf(func_def_2746,type,
    sK1612: ( nat > nat ) > nat ).

thf(func_def_2747,type,
    sK1613: nat > vEBT_VEBT > nat ).

thf(func_def_2748,type,
    sK1614: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2749,type,
    sK1615: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2750,type,
    sK1616: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2751,type,
    sK1617: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2752,type,
    sK1618: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2753,type,
    sK1619: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2754,type,
    sK1620: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2755,type,
    sK1621: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2756,type,
    sK1622: $o > nat > vEBT_VEBT > $o ).

thf(func_def_2757,type,
    sK1623: vEBT_VEBT > nat > $o ).

thf(func_def_2758,type,
    sK1624: vEBT_VEBT > nat > $o ).

thf(func_def_2759,type,
    sK1625: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2760,type,
    sK1626: nat > vEBT_VEBT > nat ).

thf(func_def_2761,type,
    sK1627: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2762,type,
    sK1628: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2763,type,
    sK1629: vEBT_VEBT > nat > $o ).

thf(func_def_2764,type,
    sK1630: vEBT_VEBT > nat > $o ).

thf(func_def_2765,type,
    sK1631: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2766,type,
    sK1632: nat > vEBT_VEBT > nat ).

thf(func_def_2767,type,
    sK1633: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2768,type,
    sK1634: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2769,type,
    sK1635: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2770,type,
    sK1636: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2771,type,
    sK1637: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2772,type,
    sK1638: vEBT_VEBT > nat > nat ).

thf(func_def_2773,type,
    sK1639: vEBT_VEBT > nat > nat ).

thf(func_def_2774,type,
    sK1640: vEBT_VEBT > nat > nat ).

thf(func_def_2775,type,
    sK1641: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2776,type,
    sK1642: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2777,type,
    sK1643: nat > vEBT_VEBT > nat ).

thf(func_def_2778,type,
    sK1644: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2779,type,
    sK1645: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2780,type,
    sK1646: nat > vEBT_VEBT > nat ).

thf(func_def_2781,type,
    sK1647: nat > vEBT_VEBT > nat ).

thf(func_def_2782,type,
    sK1648: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2783,type,
    sK1649: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2784,type,
    sK1650: vEBT_VEBT > nat > nat ).

thf(func_def_2785,type,
    sK1651: vEBT_VEBT > nat > nat ).

thf(func_def_2786,type,
    sK1652: vEBT_VEBT > nat > nat ).

thf(func_def_2787,type,
    sK1653: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2788,type,
    sK1654: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2789,type,
    sK1655: nat > vEBT_VEBT > $o ).

thf(func_def_2790,type,
    sK1656: nat > vEBT_VEBT > $o ).

thf(func_def_2791,type,
    sK1657: vEBT_VEBT > nat > nat ).

thf(func_def_2792,type,
    sK1658: vEBT_VEBT > nat > nat ).

thf(func_def_2793,type,
    sK1659: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2794,type,
    sK1660: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2795,type,
    sK1661: vEBT_VEBT > nat > nat ).

thf(func_def_2796,type,
    sK1662: vEBT_VEBT > nat > nat ).

thf(func_def_2797,type,
    sK1663: vEBT_VEBT > nat > nat ).

thf(func_def_2798,type,
    sK1664: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2799,type,
    sK1665: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2800,type,
    sK1666: nat > vEBT_VEBT > nat ).

thf(func_def_2801,type,
    sK1667: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2802,type,
    sK1668: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2803,type,
    sK1669: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2804,type,
    sK1670: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2805,type,
    sK1671: vEBT_VEBT > $o ).

thf(func_def_2806,type,
    sK1672: vEBT_VEBT > $o ).

thf(func_def_2807,type,
    sK1673: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2808,type,
    sK1674: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2809,type,
    sK1675: vEBT_VEBT > $o ).

thf(func_def_2810,type,
    sK1676: vEBT_VEBT > $o ).

thf(func_def_2811,type,
    sK1677: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2812,type,
    sK1678: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2813,type,
    sK1679: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2814,type,
    sK1680: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2815,type,
    sK1681: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2816,type,
    sK1682: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2817,type,
    sK1683: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2818,type,
    sK1684: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2819,type,
    sK1685: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2820,type,
    sK1686: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2821,type,
    sK1687: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2822,type,
    sK1688: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2823,type,
    sK1689: vEBT_VEBT > nat > $o ).

thf(func_def_2824,type,
    sK1690: vEBT_VEBT > nat > $o ).

thf(func_def_2825,type,
    sK1691: nat > vEBT_VEBT > nat ).

thf(func_def_2826,type,
    sK1692: nat > vEBT_VEBT > nat ).

thf(func_def_2827,type,
    sK1693: nat > vEBT_VEBT > nat ).

thf(func_def_2828,type,
    sK1694: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2829,type,
    sK1695: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2830,type,
    sK1696: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2831,type,
    sK1697: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2832,type,
    sK1698: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2833,type,
    sK1699: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2834,type,
    sK1700: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2835,type,
    sK1701: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2836,type,
    sK1702: vEBT_VEBT > nat ).

thf(func_def_2837,type,
    sK1703: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2838,type,
    sK1704: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2839,type,
    sK1705: vEBT_VEBT > $o > nat > product_prod_nat_nat ).

thf(func_def_2840,type,
    sK1706: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2841,type,
    sK1707: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2842,type,
    sK1708: vEBT_VEBT > $o > nat > product_prod_nat_nat ).

thf(func_def_2843,type,
    sK1709: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2844,type,
    sK1710: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2845,type,
    sK1711: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2846,type,
    sK1712: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2847,type,
    sK1713: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2848,type,
    sK1714: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2849,type,
    sK1715: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2850,type,
    sK1716: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2851,type,
    sK1717: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2852,type,
    sK1718: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2853,type,
    sK1719: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2854,type,
    sK1720: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2855,type,
    sK1721: vEBT_VEBT > nat > nat ).

thf(func_def_2856,type,
    sK1722: vEBT_VEBT > nat > nat ).

thf(func_def_2857,type,
    sK1723: vEBT_VEBT > nat > nat ).

thf(func_def_2858,type,
    sK1724: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2859,type,
    sK1725: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2860,type,
    sK1726: vEBT_VEBT > nat > $o ).

thf(func_def_2861,type,
    sK1727: vEBT_VEBT > nat > $o ).

thf(func_def_2862,type,
    sK1728: nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2863,type,
    sK1729: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2864,type,
    sK1730: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2865,type,
    sK1731: nat > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_2866,type,
    sK1732: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2867,type,
    sK1733: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2868,type,
    sK1734: nat > vEBT_VEBT > nat ).

thf(func_def_2869,type,
    sK1735: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2870,type,
    sK1736: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2871,type,
    sK1737: vEBT_VEBT > nat > nat ).

thf(func_def_2872,type,
    sK1738: vEBT_VEBT > nat > nat ).

thf(func_def_2873,type,
    sK1739: vEBT_VEBT > nat > nat ).

thf(func_def_2874,type,
    sK1740: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2875,type,
    sK1741: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2876,type,
    sK1742: nat > vEBT_VEBT > $o ).

thf(func_def_2877,type,
    sK1743: nat > vEBT_VEBT > $o ).

thf(func_def_2878,type,
    sK1744: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_2879,type,
    sK1745: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2880,type,
    sK1746: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2881,type,
    sK1747: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2882,type,
    sK1748: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2883,type,
    sK1749: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2884,type,
    sK1750: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2885,type,
    sK1751: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2886,type,
    sK1752: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2887,type,
    sK1753: vEBT_VEBT > nat > $o ).

thf(func_def_2888,type,
    sK1754: vEBT_VEBT > nat > $o ).

thf(func_def_2889,type,
    sK1755: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2890,type,
    sK1756: nat > vEBT_VEBT > nat ).

thf(func_def_2891,type,
    sK1757: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2892,type,
    sK1758: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2893,type,
    sK1759: vEBT_VEBT > nat > $o ).

thf(func_def_2894,type,
    sK1760: vEBT_VEBT > nat > $o ).

thf(func_def_2895,type,
    sK1761: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2896,type,
    sK1762: nat > vEBT_VEBT > nat ).

thf(func_def_2897,type,
    sK1763: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2898,type,
    sK1764: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2899,type,
    sK1765: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2900,type,
    sK1766: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2901,type,
    sK1767: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2902,type,
    sK1768: vEBT_VEBT > nat > nat ).

thf(func_def_2903,type,
    sK1769: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2904,type,
    sK1770: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2905,type,
    sK1771: vEBT_VEBT > nat > nat ).

thf(func_def_2906,type,
    sK1772: vEBT_VEBT > nat > nat ).

thf(func_def_2907,type,
    sK1773: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2908,type,
    sK1774: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2909,type,
    sK1775: vEBT_VEBT > nat > nat ).

thf(func_def_2910,type,
    sK1776: vEBT_VEBT > nat > nat ).

thf(func_def_2911,type,
    sK1777: vEBT_VEBT > nat > nat ).

thf(func_def_2912,type,
    sK1778: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2913,type,
    sK1779: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2914,type,
    sK1780: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2915,type,
    sK1781: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2916,type,
    sK1782: nat > vEBT_VEBT > $o ).

thf(func_def_2917,type,
    sK1783: nat > vEBT_VEBT > $o ).

thf(func_def_2918,type,
    sK1784: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2919,type,
    sK1785: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2920,type,
    sK1786: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2921,type,
    sK1787: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2922,type,
    sK1788: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2923,type,
    sK1789: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2924,type,
    sK1790: vEBT_VEBT > $o > nat > nat ).

thf(func_def_2925,type,
    sK1791: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2926,type,
    sK1792: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2927,type,
    sK1793: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2928,type,
    sK1794: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2929,type,
    sK1795: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2930,type,
    sK1796: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2931,type,
    sK1797: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2932,type,
    sK1798: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2933,type,
    sK1799: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2934,type,
    sK1800: vEBT_VEBT > nat > nat ).

thf(func_def_2935,type,
    sK1801: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2936,type,
    sK1802: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2937,type,
    sK1803: vEBT_VEBT > nat > nat ).

thf(func_def_2938,type,
    sK1804: vEBT_VEBT > nat > nat ).

thf(func_def_2939,type,
    sK1805: vEBT_VEBT > nat > nat ).

thf(func_def_2940,type,
    sK1806: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2941,type,
    sK1807: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2942,type,
    sK1808: nat > vEBT_VEBT > nat ).

thf(func_def_2943,type,
    sK1809: nat > vEBT_VEBT > nat ).

thf(func_def_2944,type,
    sK1810: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2945,type,
    sK1811: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2946,type,
    sK1812: nat > vEBT_VEBT > nat ).

thf(func_def_2947,type,
    sK1813: ( nat > nat > nat ) > ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_2948,type,
    sK1814: ( nat > nat > nat ) > ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_2949,type,
    sK1815: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).

thf(func_def_2950,type,
    sK1816: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > nat ).

thf(func_def_2951,type,
    sK1817: ( nat > nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_2952,type,
    sK1818: ( nat > nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_2953,type,
    sK1819: ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > product_prod_int_int > int ).

thf(func_def_2954,type,
    sK1820: ( int > int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > product_prod_int_int > int ).

thf(func_def_2955,type,
    sK1821: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2956,type,
    sK1822: ( int > int > $o ) > ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2957,type,
    sK1823: ( product_prod_nat_nat > nat ) > ( nat > nat > nat ) > nat ).

thf(func_def_2958,type,
    sK1824: ( product_prod_nat_nat > nat ) > ( nat > nat > nat ) > nat ).

thf(func_def_2959,type,
    sK1825: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_2960,type,
    sK1826: ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > nat ).

thf(func_def_2961,type,
    sK1827: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_2962,type,
    sK1828: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_2963,type,
    sK1829: ( product_prod_int_int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).

thf(func_def_2964,type,
    sK1830: ( product_prod_int_int > product_prod_int_int ) > ( int > int > product_prod_int_int ) > int ).

thf(func_def_2965,type,
    sK1831: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).

thf(func_def_2966,type,
    sK1832: ( product_prod_int_int > $o ) > ( int > int > $o ) > int ).

thf(func_def_2967,type,
    sK1833: product_prod_nat_nat > ( nat > nat > nat ) > ( nat > $o ) > nat ).

thf(func_def_2968,type,
    sK1834: product_prod_nat_nat > ( nat > nat > nat ) > ( nat > $o ) > nat ).

thf(func_def_2969,type,
    sK1835: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > nat ).

thf(func_def_2970,type,
    sK1836: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > $o ) > nat ).

thf(func_def_2971,type,
    sK1837: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > nat ).

thf(func_def_2972,type,
    sK1838: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > ( ( product_prod_nat_nat > $o ) > $o ) > nat ).

thf(func_def_2973,type,
    sK1839: product_prod_int_int > ( int > int > product_prod_int_int ) > ( product_prod_int_int > $o ) > int ).

thf(func_def_2974,type,
    sK1840: product_prod_int_int > ( int > int > product_prod_int_int ) > ( product_prod_int_int > $o ) > int ).

thf(func_def_2975,type,
    sK1841: product_prod_int_int > ( int > int > $o ) > ( $o > $o ) > int ).

thf(func_def_2976,type,
    sK1842: product_prod_int_int > ( int > int > $o ) > ( $o > $o ) > int ).

thf(func_def_2977,type,
    sK1843: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_2978,type,
    sK1844: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_2979,type,
    sK1845: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_2980,type,
    sK1846: ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc1908205239877642774nteger > produc8923325533196201883nteger ).

thf(func_def_2981,type,
    sK1847: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_2982,type,
    sK1848: ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc2285326912895808259nt_int > product_prod_int_int ).

thf(func_def_2983,type,
    sK1849: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_2984,type,
    sK1850: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_2985,type,
    sK1851: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2986,type,
    sK1852: ( int > int > $o ) > product_prod_int_int > int ).

thf(func_def_2987,type,
    sK1853: ( int > int > set_real ) > real > product_prod_int_int > int ).

thf(func_def_2988,type,
    sK1854: ( int > int > set_real ) > real > product_prod_int_int > int ).

thf(func_def_2989,type,
    sK1855: ( int > int > set_nat ) > nat > product_prod_int_int > int ).

thf(func_def_2990,type,
    sK1856: ( int > int > set_nat ) > nat > product_prod_int_int > int ).

thf(func_def_2991,type,
    sK1857: ( int > int > set_int ) > int > product_prod_int_int > int ).

thf(func_def_2992,type,
    sK1858: ( int > int > set_int ) > int > product_prod_int_int > int ).

thf(func_def_2993,type,
    sK1859: ( int > int > set_set_nat ) > set_nat > product_prod_int_int > int ).

thf(func_def_2994,type,
    sK1860: ( int > int > set_set_nat ) > set_nat > product_prod_int_int > int ).

thf(func_def_2995,type,
    sK1861: ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > product_prod_int_int > int ).

thf(func_def_2996,type,
    sK1862: ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > product_prod_int_int > int ).

thf(func_def_2997,type,
    sK1863: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > real > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_2998,type,
    sK1864: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > real > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_2999,type,
    sK1865: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > nat > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_3000,type,
    sK1866: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > nat > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_3001,type,
    sK1867: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_3002,type,
    sK1868: ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc8763457246119570046nteger > produc8923325533196201883nteger ).

thf(func_def_3003,type,
    sK1869: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > real > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3004,type,
    sK1870: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > real > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_3005,type,
    sK1871: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > nat > produc7773217078559923341nt_int > int > option6357759511663192854e_term ).

thf(func_def_3006,type,
    sK1872: ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > nat > produc7773217078559923341nt_int > product_prod_int_int ).

thf(func_def_3007,type,
    sK1873: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_3008,type,
    sK1874: product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_3009,type,
    sK1875: set_real > ( real > complex ) > real ).

thf(func_def_3010,type,
    sK1876: set_nat > ( nat > complex ) > nat ).

thf(func_def_3011,type,
    sK1877: set_int > ( int > complex ) > int ).

thf(func_def_3012,type,
    sK1878: set_real > ( real > real ) > real ).

thf(func_def_3013,type,
    sK1879: set_int > ( int > real ) > int ).

thf(func_def_3014,type,
    sK1880: set_real > ( real > rat ) > real ).

thf(func_def_3015,type,
    sK1881: set_nat > ( nat > rat ) > nat ).

thf(func_def_3016,type,
    sK1882: set_int > ( int > rat ) > int ).

thf(func_def_3017,type,
    sK1883: set_real > ( real > nat ) > real ).

thf(func_def_3018,type,
    sK1884: set_int > ( int > nat ) > int ).

thf(func_def_3019,type,
    sK1885: ( nat > nat ) > set_nat > nat ).

thf(func_def_3020,type,
    sK1886: ( complex > complex ) > set_complex > complex ).

thf(func_def_3021,type,
    sK1887: ( nat > real ) > set_nat > nat ).

thf(func_def_3022,type,
    sK1888: product_prod_int_int > ( int > int > set_real ) > real > int ).

thf(func_def_3023,type,
    sK1889: product_prod_int_int > ( int > int > set_real ) > real > int ).

thf(func_def_3024,type,
    sK1890: product_prod_int_int > ( int > int > set_nat ) > nat > int ).

thf(func_def_3025,type,
    sK1891: product_prod_int_int > ( int > int > set_nat ) > nat > int ).

thf(func_def_3026,type,
    sK1892: product_prod_int_int > ( int > int > set_int ) > int > int ).

thf(func_def_3027,type,
    sK1893: product_prod_int_int > ( int > int > set_int ) > int > int ).

thf(func_def_3028,type,
    sK1894: product_prod_int_int > ( int > int > set_set_nat ) > set_nat > int ).

thf(func_def_3029,type,
    sK1895: product_prod_int_int > ( int > int > set_set_nat ) > set_nat > int ).

thf(func_def_3030,type,
    sK1896: product_prod_int_int > ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > int ).

thf(func_def_3031,type,
    sK1897: product_prod_int_int > ( int > int > set_Pr1261947904930325089at_nat ) > product_prod_nat_nat > int ).

thf(func_def_3032,type,
    sK1898: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > real > code_integer > option6357759511663192854e_term ).

thf(func_def_3033,type,
    sK1899: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_real ) > real > produc8923325533196201883nteger ).

thf(func_def_3034,type,
    sK1900: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > nat > code_integer > option6357759511663192854e_term ).

thf(func_def_3035,type,
    sK1901: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_nat ) > nat > produc8923325533196201883nteger ).

thf(func_def_3036,type,
    sK1902: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > code_integer > option6357759511663192854e_term ).

thf(func_def_3037,type,
    sK1903: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > set_int ) > int > produc8923325533196201883nteger ).

thf(func_def_3038,type,
    sK1904: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > real > int > option6357759511663192854e_term ).

thf(func_def_3039,type,
    sK1905: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_real ) > real > product_prod_int_int ).

thf(func_def_3040,type,
    sK1906: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > nat > int > option6357759511663192854e_term ).

thf(func_def_3041,type,
    sK1907: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > set_nat ) > nat > product_prod_int_int ).

thf(func_def_3042,type,
    sK1908: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > code_integer > option6357759511663192854e_term ).

thf(func_def_3043,type,
    sK1909: produc8763457246119570046nteger > ( ( code_integer > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_3044,type,
    sK1910: produc1908205239877642774nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3045,type,
    sK1911: produc1908205239877642774nteger > ( ( produc6241069584506657477e_term > option6357759511663192854e_term ) > produc8923325533196201883nteger > $o ) > produc8923325533196201883nteger ).

thf(func_def_3046,type,
    sK1912: produc2285326912895808259nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > produc8551481072490612790e_term > option6357759511663192854e_term ).

thf(func_def_3047,type,
    sK1913: produc2285326912895808259nt_int > ( ( produc8551481072490612790e_term > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3048,type,
    sK1914: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > int > option6357759511663192854e_term ).

thf(func_def_3049,type,
    sK1915: produc7773217078559923341nt_int > ( ( int > option6357759511663192854e_term ) > product_prod_int_int > $o ) > product_prod_int_int ).

thf(func_def_3050,type,
    sK1916: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_3051,type,
    sK1917: product_prod_int_int > ( int > int > $o ) > int ).

thf(func_def_3052,type,
    sK1918: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_3053,type,
    sK1919: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_3054,type,
    sK1920: ( int > rat ) > ( int > rat ) > set_int > int ).

thf(func_def_3055,type,
    sK1921: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_3056,type,
    sK1922: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_3057,type,
    sK1923: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_3058,type,
    sK1924: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_3059,type,
    sK1925: ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_3060,type,
    sK1926: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_3061,type,
    sK1927: ( nat > real ) > ( nat > real ) > set_nat > nat ).

thf(func_def_3062,type,
    sK1928: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3063,type,
    sK1929: product_prod_nat_nat > product_prod_nat_nat > ( nat > nat > product_prod_nat_nat > $o ) > nat ).

thf(func_def_3064,type,
    sK1930: ( real > real ) > set_real > real ).

thf(func_def_3065,type,
    sK1931: ( int > real ) > set_int > int ).

thf(func_def_3066,type,
    sK1932: ( real > rat ) > set_real > real ).

thf(func_def_3067,type,
    sK1933: ( nat > rat ) > set_nat > nat ).

thf(func_def_3068,type,
    sK1934: ( int > rat ) > set_int > int ).

thf(func_def_3069,type,
    sK1935: ( real > nat ) > set_real > real ).

thf(func_def_3070,type,
    sK1936: ( int > nat ) > set_int > int ).

thf(func_def_3071,type,
    sK1937: ( real > int ) > set_real > real ).

thf(func_def_3072,type,
    sK1938: ( nat > int ) > set_nat > nat ).

thf(func_def_3073,type,
    sK1939: ( int > int ) > set_int > int ).

thf(func_def_3074,type,
    sK1940: ( real > real ) > set_real > real ).

thf(func_def_3075,type,
    sK1941: ( int > real ) > set_int > int ).

thf(func_def_3076,type,
    sK1942: ( real > rat ) > set_real > real ).

thf(func_def_3077,type,
    sK1943: ( nat > rat ) > set_nat > nat ).

thf(func_def_3078,type,
    sK1944: ( int > rat ) > set_int > int ).

thf(func_def_3079,type,
    sK1945: ( real > nat ) > set_real > real ).

thf(func_def_3080,type,
    sK1946: ( int > nat ) > set_int > int ).

thf(func_def_3081,type,
    sK1947: ( real > int ) > set_real > real ).

thf(func_def_3082,type,
    sK1948: ( nat > int ) > set_nat > nat ).

thf(func_def_3083,type,
    sK1949: ( int > int ) > set_int > int ).

thf(func_def_3084,type,
    sK1950: ( real > rat ) > set_real > ( real > rat ) > real ).

thf(func_def_3085,type,
    sK1951: ( nat > rat ) > set_nat > ( nat > rat ) > nat ).

thf(func_def_3086,type,
    sK1952: ( int > rat ) > set_int > ( int > rat ) > int ).

thf(func_def_3087,type,
    sK1953: ( complex > rat ) > set_complex > ( complex > rat ) > complex ).

thf(func_def_3088,type,
    sK1954: ( real > nat ) > set_real > ( real > nat ) > real ).

thf(func_def_3089,type,
    sK1955: ( int > nat ) > set_int > ( int > nat ) > int ).

thf(func_def_3090,type,
    sK1956: ( complex > nat ) > set_complex > ( complex > nat ) > complex ).

thf(func_def_3091,type,
    sK1957: ( real > int ) > set_real > ( real > int ) > real ).

thf(func_def_3092,type,
    sK1958: ( nat > int ) > set_nat > ( nat > int ) > nat ).

thf(func_def_3093,type,
    sK1959: ( int > int ) > set_int > ( int > int ) > int ).

thf(func_def_3094,type,
    sK1960: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_3095,type,
    sK1961: ( nat > real ) > ( nat > real ) > set_nat > nat ).

thf(func_def_3096,type,
    sK1962: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_3097,type,
    sK1963: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_3098,type,
    sK1964: ( set_nat > nat ) > ( set_nat > nat ) > set_set_nat > set_nat ).

thf(func_def_3099,type,
    sK1965: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_3100,type,
    sK1966: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_3101,type,
    sK1967: code_integer > code_integer > ( real > code_integer ) > set_real > real ).

thf(func_def_3102,type,
    sK1968: ( real > code_integer ) > set_real > real ).

thf(func_def_3103,type,
    sK1969: code_integer > code_integer > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_3104,type,
    sK1970: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_3105,type,
    sK1971: code_integer > code_integer > ( int > code_integer ) > set_int > int ).

thf(func_def_3106,type,
    sK1972: ( int > code_integer ) > set_int > int ).

thf(func_def_3107,type,
    sK1973: real > real > ( real > real ) > set_real > real ).

thf(func_def_3108,type,
    sK1974: ( real > real ) > set_real > real ).

thf(func_def_3109,type,
    sK1975: real > real > ( int > real ) > set_int > int ).

thf(func_def_3110,type,
    sK1976: ( int > real ) > set_int > int ).

thf(func_def_3111,type,
    sK1977: rat > rat > ( real > rat ) > set_real > real ).

thf(func_def_3112,type,
    sK1978: ( real > rat ) > set_real > real ).

thf(func_def_3113,type,
    sK1979: rat > rat > ( nat > rat ) > set_nat > nat ).

thf(func_def_3114,type,
    sK1980: ( nat > rat ) > set_nat > nat ).

thf(func_def_3115,type,
    sK1981: rat > rat > ( int > rat ) > set_int > int ).

thf(func_def_3116,type,
    sK1982: ( int > rat ) > set_int > int ).

thf(func_def_3117,type,
    sK1983: int > int > ( real > int ) > set_real > real ).

thf(func_def_3118,type,
    sK1984: ( real > int ) > set_real > real ).

thf(func_def_3119,type,
    sK1985: int > int > ( nat > int ) > set_nat > nat ).

thf(func_def_3120,type,
    sK1986: ( nat > int ) > set_nat > nat ).

thf(func_def_3121,type,
    sK1987: ( int > real ) > ( int > int ) > ( int > real ) > set_int > set_int > int ).

thf(func_def_3122,type,
    sK1988: ( int > real ) > set_int > int ).

thf(func_def_3123,type,
    sK1989: ( int > real ) > ( complex > int ) > ( complex > real ) > set_complex > set_int > int ).

thf(func_def_3124,type,
    sK1990: ( complex > real ) > set_complex > complex ).

thf(func_def_3125,type,
    sK1991: ( complex > real ) > ( int > complex ) > ( int > real ) > set_int > set_complex > complex ).

thf(func_def_3126,type,
    sK1992: ( int > real ) > set_int > int ).

thf(func_def_3127,type,
    sK1993: ( complex > real ) > ( complex > complex ) > ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3128,type,
    sK1994: ( complex > real ) > set_complex > complex ).

thf(func_def_3129,type,
    sK1995: ( nat > rat ) > ( nat > nat ) > ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_3130,type,
    sK1996: ( nat > rat ) > set_nat > nat ).

thf(func_def_3131,type,
    sK1997: ( nat > rat ) > ( int > nat ) > ( int > rat ) > set_int > set_nat > nat ).

thf(func_def_3132,type,
    sK1998: ( int > rat ) > set_int > int ).

thf(func_def_3133,type,
    sK1999: ( nat > rat ) > ( complex > nat ) > ( complex > rat ) > set_complex > set_nat > nat ).

thf(func_def_3134,type,
    sK2000: ( complex > rat ) > set_complex > complex ).

thf(func_def_3135,type,
    sK2001: ( int > rat ) > ( nat > int ) > ( nat > rat ) > set_nat > set_int > int ).

thf(func_def_3136,type,
    sK2002: ( nat > rat ) > set_nat > nat ).

thf(func_def_3137,type,
    sK2003: ( int > rat ) > ( int > int ) > ( int > rat ) > set_int > set_int > int ).

thf(func_def_3138,type,
    sK2004: ( int > rat ) > set_int > int ).

thf(func_def_3139,type,
    sK2005: ( int > rat ) > ( complex > int ) > ( complex > rat ) > set_complex > set_int > int ).

thf(func_def_3140,type,
    sK2006: ( complex > rat ) > set_complex > complex ).

thf(func_def_3141,type,
    sK2007: ( real > real ) > set_real > real ).

thf(func_def_3142,type,
    sK2008: ( int > real ) > set_int > int ).

thf(func_def_3143,type,
    sK2009: ( complex > real ) > set_complex > complex ).

thf(func_def_3144,type,
    sK2010: ( real > rat ) > set_real > real ).

thf(func_def_3145,type,
    sK2011: ( nat > rat ) > set_nat > nat ).

thf(func_def_3146,type,
    sK2012: ( int > rat ) > set_int > int ).

thf(func_def_3147,type,
    sK2013: ( complex > rat ) > set_complex > complex ).

thf(func_def_3148,type,
    sK2014: ( real > nat ) > set_real > real ).

thf(func_def_3149,type,
    sK2015: ( int > nat ) > set_int > int ).

thf(func_def_3150,type,
    sK2016: ( complex > nat ) > set_complex > complex ).

thf(func_def_3151,type,
    sK2017: ( int > real ) > ( int > real ) > set_int > int ).

thf(func_def_3152,type,
    sK2018: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_3153,type,
    sK2019: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_3154,type,
    sK2020: ( int > rat ) > ( int > rat ) > set_int > int ).

thf(func_def_3155,type,
    sK2021: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_3156,type,
    sK2022: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_3157,type,
    sK2023: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_3158,type,
    sK2024: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_3159,type,
    sK2025: ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_3160,type,
    sK2026: ( complex > int ) > ( complex > int ) > set_complex > complex ).

thf(func_def_3161,type,
    sK2027: ( nat > complex ) > ( nat > complex ) > set_nat > ( complex > complex > $o ) > nat ).

thf(func_def_3162,type,
    sK2028: ( complex > complex > $o ) > complex ).

thf(func_def_3163,type,
    sK2029: ( complex > complex > $o ) > complex ).

thf(func_def_3164,type,
    sK2030: ( complex > complex > $o ) > complex ).

thf(func_def_3165,type,
    sK2031: ( complex > complex > $o ) > complex ).

thf(func_def_3166,type,
    sK2032: ( int > complex ) > ( int > complex ) > set_int > ( complex > complex > $o ) > int ).

thf(func_def_3167,type,
    sK2033: ( complex > complex > $o ) > complex ).

thf(func_def_3168,type,
    sK2034: ( complex > complex > $o ) > complex ).

thf(func_def_3169,type,
    sK2035: ( complex > complex > $o ) > complex ).

thf(func_def_3170,type,
    sK2036: ( complex > complex > $o ) > complex ).

thf(func_def_3171,type,
    sK2037: ( int > real ) > ( int > real ) > set_int > ( real > real > $o ) > int ).

thf(func_def_3172,type,
    sK2038: ( real > real > $o ) > real ).

thf(func_def_3173,type,
    sK2039: ( real > real > $o ) > real ).

thf(func_def_3174,type,
    sK2040: ( real > real > $o ) > real ).

thf(func_def_3175,type,
    sK2041: ( real > real > $o ) > real ).

thf(func_def_3176,type,
    sK2042: ( complex > real ) > ( complex > real ) > set_complex > ( real > real > $o ) > complex ).

thf(func_def_3177,type,
    sK2043: ( real > real > $o ) > real ).

thf(func_def_3178,type,
    sK2044: ( real > real > $o ) > real ).

thf(func_def_3179,type,
    sK2045: ( real > real > $o ) > real ).

thf(func_def_3180,type,
    sK2046: ( real > real > $o ) > real ).

thf(func_def_3181,type,
    sK2047: ( nat > rat ) > ( nat > rat ) > set_nat > ( rat > rat > $o ) > nat ).

thf(func_def_3182,type,
    sK2048: ( rat > rat > $o ) > rat ).

thf(func_def_3183,type,
    sK2049: ( rat > rat > $o ) > rat ).

thf(func_def_3184,type,
    sK2050: ( rat > rat > $o ) > rat ).

thf(func_def_3185,type,
    sK2051: ( rat > rat > $o ) > rat ).

thf(func_def_3186,type,
    sK2052: ( int > rat ) > ( int > rat ) > set_int > ( rat > rat > $o ) > int ).

thf(func_def_3187,type,
    sK2053: ( rat > rat > $o ) > rat ).

thf(func_def_3188,type,
    sK2054: ( rat > rat > $o ) > rat ).

thf(func_def_3189,type,
    sK2055: ( rat > rat > $o ) > rat ).

thf(func_def_3190,type,
    sK2056: ( rat > rat > $o ) > rat ).

thf(func_def_3191,type,
    sK2057: ( complex > rat ) > ( complex > rat ) > set_complex > ( rat > rat > $o ) > complex ).

thf(func_def_3192,type,
    sK2058: ( rat > rat > $o ) > rat ).

thf(func_def_3193,type,
    sK2059: ( rat > rat > $o ) > rat ).

thf(func_def_3194,type,
    sK2060: ( rat > rat > $o ) > rat ).

thf(func_def_3195,type,
    sK2061: ( rat > rat > $o ) > rat ).

thf(func_def_3196,type,
    sK2062: ( int > nat ) > ( int > nat ) > set_int > ( nat > nat > $o ) > int ).

thf(func_def_3197,type,
    sK2063: ( nat > nat > $o ) > nat ).

thf(func_def_3198,type,
    sK2064: ( nat > nat > $o ) > nat ).

thf(func_def_3199,type,
    sK2065: ( nat > nat > $o ) > nat ).

thf(func_def_3200,type,
    sK2066: ( nat > nat > $o ) > nat ).

thf(func_def_3201,type,
    sK2067: ( complex > nat ) > ( complex > nat ) > set_complex > ( nat > nat > $o ) > complex ).

thf(func_def_3202,type,
    sK2068: ( nat > nat > $o ) > nat ).

thf(func_def_3203,type,
    sK2069: ( nat > nat > $o ) > nat ).

thf(func_def_3204,type,
    sK2070: ( nat > nat > $o ) > nat ).

thf(func_def_3205,type,
    sK2071: ( nat > nat > $o ) > nat ).

thf(func_def_3206,type,
    sK2072: ( nat > int ) > ( nat > int ) > set_nat > ( int > int > $o ) > nat ).

thf(func_def_3207,type,
    sK2073: ( int > int > $o ) > int ).

thf(func_def_3208,type,
    sK2074: ( int > int > $o ) > int ).

thf(func_def_3209,type,
    sK2075: ( int > int > $o ) > int ).

thf(func_def_3210,type,
    sK2076: ( int > int > $o ) > int ).

thf(func_def_3211,type,
    sK2077: real > real ).

thf(func_def_3212,type,
    sK2078: rat > rat ).

thf(func_def_3213,type,
    sK2079: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_3214,type,
    sK2080: ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_3215,type,
    sK2081: ( int > real ) > ( int > real ) > set_int > int ).

thf(func_def_3216,type,
    sK2082: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_3217,type,
    sK2083: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_3218,type,
    sK2084: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_3219,type,
    sK2085: ( int > rat ) > ( int > rat ) > set_int > int ).

thf(func_def_3220,type,
    sK2086: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_3221,type,
    sK2087: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_3222,type,
    sK2088: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_3223,type,
    sK2089: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3224,type,
    sK2090: set_real > set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3225,type,
    sK2091: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3226,type,
    sK2092: set_real > set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3227,type,
    sK2093: ( real > complex ) > ( real > complex ) > ( real > real ) > set_real > real ).

thf(func_def_3228,type,
    sK2094: ( real > complex ) > set_real > real ).

thf(func_def_3229,type,
    sK2095: ( real > complex ) > set_real > real ).

thf(func_def_3230,type,
    sK2096: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_3231,type,
    sK2097: set_int > set_int > ( real > int ) > ( int > real ) > int ).

thf(func_def_3232,type,
    sK2098: set_real > set_real > ( real > int ) > set_int > set_int > real ).

thf(func_def_3233,type,
    sK2099: set_real > set_real > ( int > real ) > ( real > int ) > real ).

thf(func_def_3234,type,
    sK2100: ( int > complex ) > ( real > complex ) > ( real > int ) > set_real > real ).

thf(func_def_3235,type,
    sK2101: ( int > complex ) > set_int > int ).

thf(func_def_3236,type,
    sK2102: ( real > complex ) > set_real > real ).

thf(func_def_3237,type,
    sK2103: set_real > set_real > ( real > int ) > set_int > set_int > real ).

thf(func_def_3238,type,
    sK2104: set_real > set_real > ( int > real ) > ( real > int ) > real ).

thf(func_def_3239,type,
    sK2105: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_3240,type,
    sK2106: set_int > set_int > ( real > int ) > ( int > real ) > int ).

thf(func_def_3241,type,
    sK2107: ( real > complex ) > ( int > complex ) > ( int > real ) > set_int > int ).

thf(func_def_3242,type,
    sK2108: ( real > complex ) > set_real > real ).

thf(func_def_3243,type,
    sK2109: ( int > complex ) > set_int > int ).

thf(func_def_3244,type,
    sK2110: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3245,type,
    sK2111: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_3246,type,
    sK2112: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3247,type,
    sK2113: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_3248,type,
    sK2114: ( int > complex ) > ( int > complex ) > ( int > int ) > set_int > int ).

thf(func_def_3249,type,
    sK2115: ( int > complex ) > set_int > int ).

thf(func_def_3250,type,
    sK2116: ( int > complex ) > set_int > int ).

thf(func_def_3251,type,
    sK2117: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3252,type,
    sK2118: set_real > set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3253,type,
    sK2119: set_real > set_real > ( real > real ) > set_real > set_real > real ).

thf(func_def_3254,type,
    sK2120: set_real > set_real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3255,type,
    sK2121: ( real > real ) > ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_3256,type,
    sK2122: ( real > real ) > set_real > real ).

thf(func_def_3257,type,
    sK2123: ( real > real ) > set_real > real ).

thf(func_def_3258,type,
    sK2124: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_3259,type,
    sK2125: set_int > set_int > ( real > int ) > ( int > real ) > int ).

thf(func_def_3260,type,
    sK2126: set_real > set_real > ( real > int ) > set_int > set_int > real ).

thf(func_def_3261,type,
    sK2127: set_real > set_real > ( int > real ) > ( real > int ) > real ).

thf(func_def_3262,type,
    sK2128: ( int > real ) > ( real > real ) > ( real > int ) > set_real > real ).

thf(func_def_3263,type,
    sK2129: ( int > real ) > set_int > int ).

thf(func_def_3264,type,
    sK2130: ( real > real ) > set_real > real ).

thf(func_def_3265,type,
    sK2131: set_complex > set_complex > ( complex > real ) > set_real > set_real > complex ).

thf(func_def_3266,type,
    sK2132: set_complex > set_complex > ( real > complex ) > ( complex > real ) > complex ).

thf(func_def_3267,type,
    sK2133: set_real > set_real > ( real > complex ) > set_complex > set_complex > real ).

thf(func_def_3268,type,
    sK2134: set_real > set_real > ( complex > real ) > ( real > complex ) > real ).

thf(func_def_3269,type,
    sK2135: ( complex > real ) > ( real > real ) > ( real > complex ) > set_real > real ).

thf(func_def_3270,type,
    sK2136: ( complex > real ) > set_complex > complex ).

thf(func_def_3271,type,
    sK2137: ( real > real ) > set_real > real ).

thf(func_def_3272,type,
    sK2138: set_real > set_real > ( real > int ) > set_int > set_int > real ).

thf(func_def_3273,type,
    sK2139: set_real > set_real > ( int > real ) > ( real > int ) > real ).

thf(func_def_3274,type,
    sK2140: set_int > set_int > ( int > real ) > set_real > set_real > int ).

thf(func_def_3275,type,
    sK2141: set_int > set_int > ( real > int ) > ( int > real ) > int ).

thf(func_def_3276,type,
    sK2142: ( real > real ) > ( int > real ) > ( int > real ) > set_int > int ).

thf(func_def_3277,type,
    sK2143: ( real > real ) > set_real > real ).

thf(func_def_3278,type,
    sK2144: ( int > real ) > set_int > int ).

thf(func_def_3279,type,
    sK2145: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3280,type,
    sK2146: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_3281,type,
    sK2147: set_int > set_int > ( int > int ) > set_int > set_int > int ).

thf(func_def_3282,type,
    sK2148: set_int > set_int > ( int > int ) > ( int > int ) > int ).

thf(func_def_3283,type,
    sK2149: ( int > real ) > ( int > real ) > ( int > int ) > set_int > int ).

thf(func_def_3284,type,
    sK2150: ( int > real ) > set_int > int ).

thf(func_def_3285,type,
    sK2151: ( int > real ) > set_int > int ).

thf(func_def_3286,type,
    sK2152: set_complex > set_complex > ( complex > int ) > set_int > set_int > complex ).

thf(func_def_3287,type,
    sK2153: set_complex > set_complex > ( int > complex ) > ( complex > int ) > complex ).

thf(func_def_3288,type,
    sK2154: set_int > set_int > ( int > complex ) > set_complex > set_complex > int ).

thf(func_def_3289,type,
    sK2155: set_int > set_int > ( complex > int ) > ( int > complex ) > int ).

thf(func_def_3290,type,
    sK2156: ( complex > real ) > ( int > real ) > ( int > complex ) > set_int > int ).

thf(func_def_3291,type,
    sK2157: ( complex > real ) > set_complex > complex ).

thf(func_def_3292,type,
    sK2158: ( int > real ) > set_int > int ).

thf(func_def_3293,type,
    sK2159: set_nat > ( nat > nat ) > nat ).

thf(func_def_3294,type,
    sK2160: ( real > real ) > set_real > real ).

thf(func_def_3295,type,
    sK2161: ( int > real ) > set_int > int ).

thf(func_def_3296,type,
    sK2162: ( complex > real ) > set_complex > complex ).

thf(func_def_3297,type,
    sK2163: ( real > rat ) > set_real > real ).

thf(func_def_3298,type,
    sK2164: ( nat > rat ) > set_nat > nat ).

thf(func_def_3299,type,
    sK2165: ( int > rat ) > set_int > int ).

thf(func_def_3300,type,
    sK2166: ( complex > rat ) > set_complex > complex ).

thf(func_def_3301,type,
    sK2167: ( real > nat ) > set_real > real ).

thf(func_def_3302,type,
    sK2168: ( int > nat ) > set_int > int ).

thf(func_def_3303,type,
    sK2169: ( complex > nat ) > set_complex > complex ).

thf(func_def_3304,type,
    sK2170: ( real > real ) > set_real > real ).

thf(func_def_3305,type,
    sK2171: ( int > real ) > set_int > int ).

thf(func_def_3306,type,
    sK2172: ( complex > real ) > set_complex > complex ).

thf(func_def_3307,type,
    sK2173: ( real > rat ) > set_real > real ).

thf(func_def_3308,type,
    sK2174: ( nat > rat ) > set_nat > nat ).

thf(func_def_3309,type,
    sK2175: ( int > rat ) > set_int > int ).

thf(func_def_3310,type,
    sK2176: ( complex > rat ) > set_complex > complex ).

thf(func_def_3311,type,
    sK2177: ( real > nat ) > set_real > real ).

thf(func_def_3312,type,
    sK2178: ( int > nat ) > set_int > int ).

thf(func_def_3313,type,
    sK2179: ( complex > nat ) > set_complex > complex ).

thf(func_def_3314,type,
    sK2180: ( real > real ) > set_real > real ).

thf(func_def_3315,type,
    sK2181: ( int > real ) > set_int > int ).

thf(func_def_3316,type,
    sK2182: ( complex > real ) > set_complex > complex ).

thf(func_def_3317,type,
    sK2183: ( real > rat ) > set_real > real ).

thf(func_def_3318,type,
    sK2184: ( nat > rat ) > set_nat > nat ).

thf(func_def_3319,type,
    sK2185: ( int > rat ) > set_int > int ).

thf(func_def_3320,type,
    sK2186: ( complex > rat ) > set_complex > complex ).

thf(func_def_3321,type,
    sK2187: ( real > nat ) > set_real > real ).

thf(func_def_3322,type,
    sK2188: ( int > nat ) > set_int > int ).

thf(func_def_3323,type,
    sK2189: ( complex > nat ) > set_complex > complex ).

thf(func_def_3324,type,
    sK2190: ( complex > real ) > set_complex > complex ).

thf(func_def_3325,type,
    sK2191: ( real > real ) > set_real > real ).

thf(func_def_3326,type,
    sK2192: ( int > real ) > set_int > int ).

thf(func_def_3327,type,
    sK2193: ( complex > rat ) > set_complex > complex ).

thf(func_def_3328,type,
    sK2194: ( real > rat ) > set_real > real ).

thf(func_def_3329,type,
    sK2195: ( nat > rat ) > set_nat > nat ).

thf(func_def_3330,type,
    sK2196: ( int > rat ) > set_int > int ).

thf(func_def_3331,type,
    sK2197: ( complex > nat ) > set_complex > complex ).

thf(func_def_3332,type,
    sK2198: ( real > nat ) > set_real > real ).

thf(func_def_3333,type,
    sK2199: ( int > nat ) > set_int > int ).

thf(func_def_3334,type,
    sK2200: ( real > complex ) > ( real > complex ) > set_real > real ).

thf(func_def_3335,type,
    sK2201: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3336,type,
    sK2202: ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_3337,type,
    sK2203: ( real > real ) > set_real > set_real > real ).

thf(func_def_3338,type,
    sK2204: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_3339,type,
    sK2205: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3340,type,
    sK2206: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_3341,type,
    sK2207: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3342,type,
    sK2208: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_3343,type,
    sK2209: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3344,type,
    sK2210: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_3345,type,
    sK2211: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3346,type,
    sK2212: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_3347,type,
    sK2213: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3348,type,
    sK2214: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_3349,type,
    sK2215: ( real > int ) > set_real > set_real > real ).

thf(func_def_3350,type,
    sK2216: ( complex > int ) > ( complex > int ) > set_complex > complex ).

thf(func_def_3351,type,
    sK2217: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3352,type,
    sK2218: ( nat > complex ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_3353,type,
    sK2219: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3354,type,
    sK2220: ( real > complex ) > ( real > complex ) > set_real > real ).

thf(func_def_3355,type,
    sK2221: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3356,type,
    sK2222: ( real > real ) > ( real > real ) > set_real > real ).

thf(func_def_3357,type,
    sK2223: ( real > real ) > set_real > set_real > real ).

thf(func_def_3358,type,
    sK2224: ( complex > real ) > ( complex > real ) > set_complex > complex ).

thf(func_def_3359,type,
    sK2225: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3360,type,
    sK2226: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_3361,type,
    sK2227: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3362,type,
    sK2228: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_3363,type,
    sK2229: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3364,type,
    sK2230: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_3365,type,
    sK2231: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3366,type,
    sK2232: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_3367,type,
    sK2233: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3368,type,
    sK2234: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_3369,type,
    sK2235: ( real > int ) > set_real > set_real > real ).

thf(func_def_3370,type,
    sK2236: ( complex > int ) > ( complex > int ) > set_complex > complex ).

thf(func_def_3371,type,
    sK2237: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3372,type,
    sK2238: ( nat > complex ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_3373,type,
    sK2239: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3374,type,
    sK2240: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3375,type,
    sK2241: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3376,type,
    sK2242: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3377,type,
    sK2243: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3378,type,
    sK2244: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3379,type,
    sK2245: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_3380,type,
    sK2246: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3381,type,
    sK2247: ( int > complex ) > set_int > set_int > int ).

thf(func_def_3382,type,
    sK2248: ( int > real ) > set_int > set_int > int ).

thf(func_def_3383,type,
    sK2249: ( int > rat ) > set_int > set_int > int ).

thf(func_def_3384,type,
    sK2250: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3385,type,
    sK2251: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3386,type,
    sK2252: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3387,type,
    sK2253: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3388,type,
    sK2254: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3389,type,
    sK2255: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_3390,type,
    sK2256: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3391,type,
    sK2257: ( int > complex ) > set_int > set_int > int ).

thf(func_def_3392,type,
    sK2258: ( int > real ) > set_int > set_int > int ).

thf(func_def_3393,type,
    sK2259: ( int > rat ) > set_int > set_int > int ).

thf(func_def_3394,type,
    sK2260: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3395,type,
    sK2261: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3396,type,
    sK2262: ( real > real ) > set_real > set_real > real ).

thf(func_def_3397,type,
    sK2263: ( real > real ) > set_real > set_real > real ).

thf(func_def_3398,type,
    sK2264: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3399,type,
    sK2265: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3400,type,
    sK2266: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3401,type,
    sK2267: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3402,type,
    sK2268: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3403,type,
    sK2269: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3404,type,
    sK2270: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3405,type,
    sK2271: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3406,type,
    sK2272: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3407,type,
    sK2273: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3408,type,
    sK2274: ( real > int ) > set_real > set_real > real ).

thf(func_def_3409,type,
    sK2275: ( real > int ) > set_real > set_real > real ).

thf(func_def_3410,type,
    sK2276: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3411,type,
    sK2277: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3412,type,
    sK2278: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3413,type,
    sK2279: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3414,type,
    sK2280: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3415,type,
    sK2281: ( real > complex ) > set_real > set_real > real ).

thf(func_def_3416,type,
    sK2282: ( real > real ) > set_real > set_real > real ).

thf(func_def_3417,type,
    sK2283: ( real > real ) > set_real > set_real > real ).

thf(func_def_3418,type,
    sK2284: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3419,type,
    sK2285: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3420,type,
    sK2286: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3421,type,
    sK2287: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3422,type,
    sK2288: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3423,type,
    sK2289: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3424,type,
    sK2290: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3425,type,
    sK2291: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3426,type,
    sK2292: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3427,type,
    sK2293: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3428,type,
    sK2294: ( real > int ) > set_real > set_real > real ).

thf(func_def_3429,type,
    sK2295: ( real > int ) > set_real > set_real > real ).

thf(func_def_3430,type,
    sK2296: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3431,type,
    sK2297: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3432,type,
    sK2298: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3433,type,
    sK2299: ( nat > complex ) > set_nat > set_nat > nat ).

thf(func_def_3434,type,
    sK2300: ( real > real ) > set_real > set_real > real ).

thf(func_def_3435,type,
    sK2301: ( complex > real ) > set_complex > set_complex > complex ).

thf(func_def_3436,type,
    sK2302: ( real > rat ) > set_real > set_real > real ).

thf(func_def_3437,type,
    sK2303: ( complex > rat ) > set_complex > set_complex > complex ).

thf(func_def_3438,type,
    sK2304: ( nat > rat ) > set_nat > set_nat > nat ).

thf(func_def_3439,type,
    sK2305: ( real > nat ) > set_real > set_real > real ).

thf(func_def_3440,type,
    sK2306: ( complex > nat ) > set_complex > set_complex > complex ).

thf(func_def_3441,type,
    sK2307: ( real > int ) > set_real > set_real > real ).

thf(func_def_3442,type,
    sK2308: ( complex > int ) > set_complex > set_complex > complex ).

thf(func_def_3443,type,
    sK2309: ( nat > int ) > set_nat > set_nat > nat ).

thf(func_def_3444,type,
    sK2310: ( real > real ) > set_real > real ).

thf(func_def_3445,type,
    sK2311: ( complex > real ) > set_complex > complex ).

thf(func_def_3446,type,
    sK2312: ( real > rat ) > set_real > real ).

thf(func_def_3447,type,
    sK2313: ( complex > rat ) > set_complex > complex ).

thf(func_def_3448,type,
    sK2314: ( nat > rat ) > set_nat > nat ).

thf(func_def_3449,type,
    sK2315: ( real > nat ) > set_real > real ).

thf(func_def_3450,type,
    sK2316: ( complex > nat ) > set_complex > complex ).

thf(func_def_3451,type,
    sK2317: ( real > int ) > set_real > real ).

thf(func_def_3452,type,
    sK2318: ( complex > int ) > set_complex > complex ).

thf(func_def_3453,type,
    sK2319: ( nat > int ) > set_nat > nat ).

thf(func_def_3454,type,
    sK2320: ( complex > real ) > set_complex > complex > complex ).

thf(func_def_3455,type,
    sK2321: ( real > real ) > set_real > real > real ).

thf(func_def_3456,type,
    sK2322: ( int > real ) > set_int > int > int ).

thf(func_def_3457,type,
    sK2323: ( complex > rat ) > set_complex > complex > complex ).

thf(func_def_3458,type,
    sK2324: ( real > rat ) > set_real > real > real ).

thf(func_def_3459,type,
    sK2325: ( int > rat ) > set_int > int > int ).

thf(func_def_3460,type,
    sK2326: ( nat > rat ) > set_nat > nat > nat ).

thf(func_def_3461,type,
    sK2327: ( complex > nat ) > set_complex > complex > complex ).

thf(func_def_3462,type,
    sK2328: ( real > nat ) > set_real > real > real ).

thf(func_def_3463,type,
    sK2329: ( int > nat ) > set_int > int > int ).

thf(func_def_3464,type,
    sK2330: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_3465,type,
    sK2331: ( real > real > $o ) > real ).

thf(func_def_3466,type,
    sK2332: ( rat > rat > $o ) > rat ).

thf(func_def_3467,type,
    sK2333: ( int > int > $o ) > int ).

thf(func_def_3468,type,
    sK2334: nat > nat > ( nat > int ) > nat ).

thf(func_def_3469,type,
    sK2335: int > ( nat > int ) > nat > nat > nat ).

thf(func_def_3470,type,
    sK2336: int > ( nat > int ) > nat > nat ).

thf(func_def_3471,type,
    sK2337: ( nat > int ) > nat > nat ).

thf(func_def_3472,type,
    sK2338: int > ( nat > int ) > nat > nat ).

thf(func_def_3473,type,
    sK2339: ( nat > int ) > nat > nat ).

thf(func_def_3474,type,
    sK2340: real > real > real > real ).

thf(func_def_3475,type,
    sK2341: real > real > real > real ).

thf(func_def_3476,type,
    sK2342: real > nat ).

thf(func_def_3477,type,
    sK2343: rat > nat ).

thf(func_def_3478,type,
    sK2344: rat > nat ).

thf(func_def_3479,type,
    sK2345: real > nat ).

thf(func_def_3480,type,
    sK2346: int > nat ).

thf(func_def_3481,type,
    sK2347: int > nat ).

thf(func_def_3482,type,
    sK2348: int > nat ).

thf(func_def_3483,type,
    sK2349: int > nat ).

thf(func_def_3484,type,
    sK2350: ( int > $o ) > nat ).

thf(func_def_3485,type,
    sK2351: ( int > $o ) > nat ).

thf(func_def_3486,type,
    sK2352: int > nat ).

thf(func_def_3487,type,
    sK2353: int > nat ).

thf(func_def_3488,type,
    sK2354: int > nat ).

thf(func_def_3489,type,
    sK2355: int > nat ).

thf(func_def_3490,type,
    sK2356: rat > rat > nat ).

thf(func_def_3491,type,
    sK2357: real > real > nat ).

thf(func_def_3492,type,
    sK2358: real > real > nat ).

thf(func_def_3493,type,
    sK2359: int > nat ).

thf(func_def_3494,type,
    sK2360: int > nat ).

thf(func_def_3495,type,
    sK2361: int > nat ).

thf(func_def_3496,type,
    sK2362: int > nat ).

thf(func_def_3497,type,
    sK2363: int > nat ).

thf(func_def_3498,type,
    sK2364: int > nat ).

thf(func_def_3499,type,
    sK2365: int > nat ).

thf(func_def_3500,type,
    sK2366: int > nat ).

thf(func_def_3501,type,
    sK2367: rat > nat ).

thf(func_def_3502,type,
    sK2368: real > nat ).

thf(func_def_3503,type,
    sK2369: real > real > nat ).

thf(func_def_3504,type,
    sK2370: int > nat ).

thf(func_def_3505,type,
    sK2371: set_nat > nat ).

thf(func_def_3506,type,
    sK2372: ( int > nat ) > ( int > nat ) > int ).

thf(func_def_3507,type,
    sK2373: ( real > nat ) > ( real > nat ) > real ).

thf(func_def_3508,type,
    sK2374: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3509,type,
    sK2375: rat > ( nat > rat ) > nat > nat ).

thf(func_def_3510,type,
    sK2376: int > ( nat > int ) > nat > nat ).

thf(func_def_3511,type,
    sK2377: nat > ( nat > nat ) > nat > nat ).

thf(func_def_3512,type,
    sK2378: real > ( nat > real ) > nat > nat ).

thf(func_def_3513,type,
    sK2379: ( nat > complex ) > set_nat > nat ).

thf(func_def_3514,type,
    sK2380: ( nat > int ) > set_nat > nat ).

thf(func_def_3515,type,
    sK2381: ( nat > nat ) > set_nat > nat ).

thf(func_def_3516,type,
    sK2382: ( nat > real ) > set_nat > nat ).

thf(func_def_3517,type,
    sK2383: ( nat > complex ) > nat ).

thf(func_def_3518,type,
    sK2384: ( nat > real ) > nat ).

thf(func_def_3519,type,
    sK2385: ( nat > nat ) > nat ).

thf(func_def_3520,type,
    sK2386: ( nat > int ) > nat ).

thf(func_def_3521,type,
    sK2387: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3522,type,
    sK2388: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3523,type,
    sK2389: ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_3524,type,
    sK2390: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3525,type,
    sK2391: nat > ( nat > real ) > ( nat > complex ) > nat ).

thf(func_def_3526,type,
    sK2392: ( nat > real ) > nat > ( nat > real ) > nat ).

thf(func_def_3527,type,
    sK2393: ( nat > complex ) > nat > ( nat > real ) > nat ).

thf(func_def_3528,type,
    sK2394: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3529,type,
    sK2395: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_3530,type,
    sK2396: ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_3531,type,
    sK2397: ( nat > complex ) > set_nat > nat ).

thf(func_def_3532,type,
    sK2398: ( nat > real ) > set_nat > nat ).

thf(func_def_3533,type,
    sK2399: ( nat > nat ) > set_nat > nat ).

thf(func_def_3534,type,
    sK2400: ( nat > int ) > set_nat > nat ).

thf(func_def_3535,type,
    sK2401: ( nat > real ) > nat ).

thf(func_def_3536,type,
    sK2402: ( nat > nat ) > nat ).

thf(func_def_3537,type,
    sK2403: ( nat > int ) > nat ).

thf(func_def_3538,type,
    sK2404: ( nat > real ) > nat ).

thf(func_def_3539,type,
    sK2405: ( nat > nat ) > nat ).

thf(func_def_3540,type,
    sK2406: ( nat > int ) > nat ).

thf(func_def_3541,type,
    sK2407: ( nat > real ) > nat ).

thf(func_def_3542,type,
    sK2408: ( nat > nat ) > nat ).

thf(func_def_3543,type,
    sK2409: ( nat > int ) > nat ).

thf(func_def_3544,type,
    sK2410: ( nat > complex ) > nat > nat ).

thf(func_def_3545,type,
    sK2411: ( nat > real ) > nat > nat ).

thf(func_def_3546,type,
    sK2412: ( nat > complex ) > set_nat > nat ).

thf(func_def_3547,type,
    sK2413: ( nat > int ) > set_nat > nat ).

thf(func_def_3548,type,
    sK2414: ( nat > nat ) > set_nat > nat ).

thf(func_def_3549,type,
    sK2415: ( nat > real ) > set_nat > nat ).

thf(func_def_3550,type,
    sK2416: nat > ( nat > real ) > ( nat > complex ) > nat ).

thf(func_def_3551,type,
    sK2417: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3552,type,
    sK2418: ( nat > real ) > nat ).

thf(func_def_3553,type,
    sK2419: ( nat > nat ) > nat ).

thf(func_def_3554,type,
    sK2420: ( nat > int ) > nat ).

thf(func_def_3555,type,
    sK2421: ( nat > real ) > nat ).

thf(func_def_3556,type,
    sK2422: ( nat > nat ) > nat ).

thf(func_def_3557,type,
    sK2423: ( nat > int ) > nat ).

thf(func_def_3558,type,
    sK2424: int > ( nat > int ) > nat ).

thf(func_def_3559,type,
    sK2425: nat > ( nat > nat ) > nat ).

thf(func_def_3560,type,
    sK2426: real > ( nat > real ) > nat ).

thf(func_def_3561,type,
    sK2427: int > ( nat > int ) > nat ).

thf(func_def_3562,type,
    sK2428: ( nat > int ) > nat ).

thf(func_def_3563,type,
    sK2429: nat > ( nat > nat ) > nat ).

thf(func_def_3564,type,
    sK2430: ( nat > nat ) > nat ).

thf(func_def_3565,type,
    sK2431: real > ( nat > real ) > nat ).

thf(func_def_3566,type,
    sK2432: ( nat > real ) > nat ).

thf(func_def_3567,type,
    sK2433: set_nat > ( nat > int ) > nat ).

thf(func_def_3568,type,
    sK2434: set_nat > ( nat > nat ) > nat ).

thf(func_def_3569,type,
    sK2435: set_nat > ( nat > real ) > nat ).

thf(func_def_3570,type,
    sK2436: nat > ( nat > int ) > nat ).

thf(func_def_3571,type,
    sK2437: nat > ( nat > nat ) > nat ).

thf(func_def_3572,type,
    sK2438: nat > ( nat > real ) > nat ).

thf(func_def_3573,type,
    sK2439: real > ( nat > complex ) > nat ).

thf(func_def_3574,type,
    sK2440: real > ( nat > real ) > nat ).

thf(func_def_3575,type,
    sK2441: ( nat > real ) > real > nat ).

thf(func_def_3576,type,
    sK2442: ( nat > complex ) > real > nat ).

thf(func_def_3577,type,
    sK2443: ( nat > real ) > nat ).

thf(func_def_3578,type,
    sK2444: ( nat > real ) > nat ).

thf(func_def_3579,type,
    sK2445: real > ( nat > complex ) > real > nat ).

thf(func_def_3580,type,
    sK2446: ( nat > real ) > nat > real > nat ).

thf(func_def_3581,type,
    sK2447: ( nat > complex ) > nat > real > nat ).

thf(func_def_3582,type,
    sK2448: nat > ( nat > int ) > nat ).

thf(func_def_3583,type,
    sK2449: nat > ( nat > nat ) > nat ).

thf(func_def_3584,type,
    sK2450: nat > ( nat > real ) > nat ).

thf(func_def_3585,type,
    sK2451: nat > ( nat > real ) > nat ).

thf(func_def_3586,type,
    sK2452: real > real ).

thf(func_def_3587,type,
    sK2453: real > real > real ).

thf(func_def_3588,type,
    sK2454: ( nat > real ) > real > real ).

thf(func_def_3589,type,
    sK2455: ( nat > complex ) > real > complex ).

thf(func_def_3590,type,
    sK2456: real > nat > real ).

thf(func_def_3591,type,
    sK2457: nat > real > real ).

thf(func_def_3592,type,
    sK2458: real > real ).

thf(func_def_3593,type,
    sK2459: real > real ).

thf(func_def_3594,type,
    sK2460: real > real ).

thf(func_def_3595,type,
    sK2461: real > real ).

thf(func_def_3596,type,
    sK2462: nat > ( nat > real ) > ( real > real ) > real > real ).

thf(func_def_3597,type,
    sK2463: real > real ).

thf(func_def_3598,type,
    sK2464: real > nat > real ).

thf(func_def_3599,type,
    sK2465: nat > real > real ).

thf(func_def_3600,type,
    sK2466: nat > real > real ).

thf(func_def_3601,type,
    sK2467: real > real ).

thf(func_def_3602,type,
    sK2468: ( nat > real ) > nat ).

thf(func_def_3603,type,
    sK2469: ( nat > real ) > nat ).

thf(func_def_3604,type,
    sK2470: ( nat > set_int ) > nat ).

thf(func_def_3605,type,
    sK2471: ( nat > set_int ) > nat ).

thf(func_def_3606,type,
    sK2472: ( nat > rat ) > nat ).

thf(func_def_3607,type,
    sK2473: ( nat > rat ) > nat ).

thf(func_def_3608,type,
    sK2474: ( nat > num ) > nat ).

thf(func_def_3609,type,
    sK2475: ( nat > num ) > nat ).

thf(func_def_3610,type,
    sK2476: ( nat > nat ) > nat ).

thf(func_def_3611,type,
    sK2477: ( nat > nat ) > nat ).

thf(func_def_3612,type,
    sK2478: ( nat > int ) > nat ).

thf(func_def_3613,type,
    sK2479: ( nat > int ) > nat ).

thf(func_def_3614,type,
    sK2480: ( nat > real ) > nat ).

thf(func_def_3615,type,
    sK2481: ( nat > real ) > nat ).

thf(func_def_3616,type,
    sK2482: ( nat > set_int ) > nat ).

thf(func_def_3617,type,
    sK2483: ( nat > set_int ) > nat ).

thf(func_def_3618,type,
    sK2484: ( nat > rat ) > nat ).

thf(func_def_3619,type,
    sK2485: ( nat > rat ) > nat ).

thf(func_def_3620,type,
    sK2486: ( nat > num ) > nat ).

thf(func_def_3621,type,
    sK2487: ( nat > num ) > nat ).

thf(func_def_3622,type,
    sK2488: ( nat > nat ) > nat ).

thf(func_def_3623,type,
    sK2489: ( nat > nat ) > nat ).

thf(func_def_3624,type,
    sK2490: ( nat > int ) > nat ).

thf(func_def_3625,type,
    sK2491: ( nat > int ) > nat ).

thf(func_def_3626,type,
    sK2492: ( nat > real ) > nat ).

thf(func_def_3627,type,
    sK2493: ( nat > set_int ) > nat ).

thf(func_def_3628,type,
    sK2494: ( nat > rat ) > nat ).

thf(func_def_3629,type,
    sK2495: ( nat > num ) > nat ).

thf(func_def_3630,type,
    sK2496: ( nat > nat ) > nat ).

thf(func_def_3631,type,
    sK2497: ( nat > int ) > nat ).

thf(func_def_3632,type,
    sK2498: ( nat > real ) > nat ).

thf(func_def_3633,type,
    sK2499: ( nat > set_int ) > nat ).

thf(func_def_3634,type,
    sK2500: ( nat > rat ) > nat ).

thf(func_def_3635,type,
    sK2501: ( nat > num ) > nat ).

thf(func_def_3636,type,
    sK2502: ( nat > nat ) > nat ).

thf(func_def_3637,type,
    sK2503: ( nat > int ) > nat ).

thf(func_def_3638,type,
    sK2504: complex > real ).

thf(func_def_3639,type,
    sK2505: ( nat > nat ) > nat > nat ).

thf(func_def_3640,type,
    sK2506: ( nat > nat ) > nat > nat ).

thf(func_def_3641,type,
    sK2507: int > nat ).

thf(func_def_3642,type,
    sK2508: int > int ).

thf(func_def_3643,type,
    sK2509: ( real > $o ) > nat ).

thf(func_def_3644,type,
    sK2510: ( real > $o ) > real ).

thf(func_def_3645,type,
    sK2511: ( real > $o ) > real ).

thf(func_def_3646,type,
    sK2512: ( real > $o ) > nat ).

thf(func_def_3647,type,
    sK2513: ( real > $o ) > real ).

thf(func_def_3648,type,
    sK2514: ( real > $o ) > real ).

thf(func_def_3649,type,
    sK2515: product_prod_int_int > int > int > int ).

thf(func_def_3650,type,
    sK2516: product_prod_int_int > int > int > int ).

thf(func_def_3651,type,
    sK2517: product_prod_int_int > int > int > int ).

thf(func_def_3652,type,
    sK2518: rat > rat ).

thf(func_def_3653,type,
    sK2519: rat > rat ).

thf(func_def_3654,type,
    sK2520: nat > ( nat > nat ) > nat ).

thf(func_def_3655,type,
    sK2521: nat > ( nat > nat ) > nat ).

thf(func_def_3656,type,
    sK2522: ( nat > nat ) > nat > nat ).

thf(func_def_3657,type,
    sK2523: ( nat > nat ) > nat > nat ).

thf(func_def_3658,type,
    sK2524: vEBT_VEBT > option_nat > nat ).

thf(func_def_3659,type,
    sK2525: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_3660,type,
    sK2526: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_3661,type,
    sK2527: vEBT_VEBT > option_nat > $o ).

thf(func_def_3662,type,
    sK2528: vEBT_VEBT > option_nat > $o ).

thf(func_def_3663,type,
    sK2529: option_nat > vEBT_VEBT > nat ).

thf(func_def_3664,type,
    sK2530: option_nat > vEBT_VEBT > nat ).

thf(func_def_3665,type,
    sK2531: option_nat > vEBT_VEBT > nat ).

thf(func_def_3666,type,
    sK2532: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3667,type,
    sK2533: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3668,type,
    sK2534: vEBT_VEBT > option_nat > nat ).

thf(func_def_3669,type,
    sK2535: vEBT_VEBT > option_nat > list_VEBT_VEBT ).

thf(func_def_3670,type,
    sK2536: vEBT_VEBT > option_nat > vEBT_VEBT ).

thf(func_def_3671,type,
    sK2537: vEBT_VEBT > option_nat > $o ).

thf(func_def_3672,type,
    sK2538: vEBT_VEBT > option_nat > $o ).

thf(func_def_3673,type,
    sK2539: option_nat > vEBT_VEBT > nat ).

thf(func_def_3674,type,
    sK2540: option_nat > vEBT_VEBT > nat ).

thf(func_def_3675,type,
    sK2541: option_nat > vEBT_VEBT > nat ).

thf(func_def_3676,type,
    sK2542: option_nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3677,type,
    sK2543: option_nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3678,type,
    sK2544: vEBT_VEBT > $o > nat ).

thf(func_def_3679,type,
    sK2545: vEBT_VEBT > $o > list_VEBT_VEBT ).

thf(func_def_3680,type,
    sK2546: vEBT_VEBT > $o > vEBT_VEBT ).

thf(func_def_3681,type,
    sK2547: vEBT_VEBT > $o > $o ).

thf(func_def_3682,type,
    sK2548: vEBT_VEBT > $o > $o ).

thf(func_def_3683,type,
    sK2549: $o > vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3684,type,
    sK2550: $o > vEBT_VEBT > nat ).

thf(func_def_3685,type,
    sK2551: $o > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3686,type,
    sK2552: $o > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3687,type,
    sK2553: vEBT_VEBT > nat ).

thf(func_def_3688,type,
    sK2554: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3689,type,
    sK2555: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3690,type,
    sK2556: vEBT_VEBT > product_prod_nat_nat ).

thf(func_def_3691,type,
    sK2557: vEBT_VEBT > nat ).

thf(func_def_3692,type,
    sK2558: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3693,type,
    sK2559: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3694,type,
    sK2560: vEBT_VEBT > $o ).

thf(func_def_3695,type,
    sK2561: vEBT_VEBT > $o ).

thf(func_def_3696,type,
    sK2562: produc8763457246119570046nteger > code_integer > option6357759511663192854e_term ).

thf(func_def_3697,type,
    sK2563: produc8763457246119570046nteger > code_integer ).

thf(func_def_3698,type,
    sK2564: produc8763457246119570046nteger > code_integer ).

thf(func_def_3699,type,
    sK2565: produc1908205239877642774nteger > produc6241069584506657477e_term > option6357759511663192854e_term ).

thf(func_def_3700,type,
    sK2566: produc1908205239877642774nteger > code_integer ).

thf(func_def_3701,type,
    sK2567: produc1908205239877642774nteger > code_integer ).

thf(func_def_3702,type,
    sK2568: set_nat > nat > nat ).

thf(func_def_3703,type,
    sK2569: int > int > int ).

thf(func_def_3704,type,
    sK2570: int > int > int ).

thf(func_def_3705,type,
    sK2571: nat > nat > nat ).

thf(func_def_3706,type,
    sK2572: nat > nat > nat ).

thf(func_def_3707,type,
    sK2573: nat > nat > nat ).

thf(func_def_3708,type,
    sK2574: nat > nat > nat ).

thf(func_def_3709,type,
    sK2575: ( int > $o ) > product_prod_nat_nat ).

thf(func_def_3710,type,
    sK2576: int > nat ).

thf(func_def_3711,type,
    sK2577: int > nat ).

thf(func_def_3712,type,
    sK2578: nat > set_nat > nat ).

thf(func_def_3713,type,
    sK2579: set_nat > nat ).

thf(func_def_3714,type,
    sK2580: set_nat > nat ).

thf(func_def_3715,type,
    sK2581: int > set_int > int ).

thf(func_def_3716,type,
    sK2582: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3717,type,
    sK2583: nat > vEBT_VEBT > nat ).

thf(func_def_3718,type,
    sK2584: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3719,type,
    sK2585: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3720,type,
    sK2586: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3721,type,
    sK2587: vEBT_VEBT > $o ).

thf(func_def_3722,type,
    sK2588: vEBT_VEBT > $o ).

thf(func_def_3723,type,
    sK2589: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3724,type,
    sK2590: $o > nat > vEBT_VEBT > nat ).

thf(func_def_3725,type,
    sK2591: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3726,type,
    sK2592: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3727,type,
    sK2593: vEBT_VEBT > $o ).

thf(func_def_3728,type,
    sK2594: vEBT_VEBT > $o ).

thf(func_def_3729,type,
    sK2595: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_3730,type,
    sK2596: vEBT_VEBT > nat > nat ).

thf(func_def_3731,type,
    sK2597: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3732,type,
    sK2598: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3733,type,
    sK2599: vEBT_VEBT > $o ).

thf(func_def_3734,type,
    sK2600: vEBT_VEBT > $o ).

thf(func_def_3735,type,
    sK2601: vEBT_VEBT > $o > nat > $o ).

thf(func_def_3736,type,
    sK2602: vEBT_VEBT > $o > nat > $o ).

thf(func_def_3737,type,
    sK2603: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_3738,type,
    sK2604: $o > nat > vEBT_VEBT > nat ).

thf(func_def_3739,type,
    sK2605: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_3740,type,
    sK2606: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3741,type,
    sK2607: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_3742,type,
    sK2608: vEBT_VEBT > nat > nat ).

thf(func_def_3743,type,
    sK2609: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3744,type,
    sK2610: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3745,type,
    sK2611: nat > vEBT_VEBT > $o ).

thf(func_def_3746,type,
    sK2612: nat > vEBT_VEBT > $o ).

thf(func_def_3747,type,
    sK2613: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_3748,type,
    sK2614: vEBT_VEBT > nat > nat ).

thf(func_def_3749,type,
    sK2615: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_3750,type,
    sK2616: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3751,type,
    sK2617: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_3752,type,
    sK2618: nat > vEBT_VEBT > $o ).

thf(func_def_3753,type,
    sK2619: nat > vEBT_VEBT > $o ).

thf(func_def_3754,type,
    sK2620: nat > ( nat > $o ) > nat ).

thf(func_def_3755,type,
    sK2621: nat > ( nat > $o ) > nat ).

thf(func_def_3756,type,
    sK2622: nat > ( nat > $o ) > nat ).

thf(func_def_3757,type,
    sK2623: real > real > real ).

thf(func_def_3758,type,
    sK2624: real > real ).

thf(func_def_3759,type,
    sK2625: ( rat > $o ) > int ).

thf(func_def_3760,type,
    sK2626: ( rat > $o ) > int ).

thf(func_def_3761,type,
    sK2627: real > ( real > real ) > real ).

thf(func_def_3762,type,
    sK2628: real > ( real > real ) > real ).

thf(func_def_3763,type,
    sK2629: real > ( real > real ) > real ).

thf(func_def_3764,type,
    sK2630: real > ( real > real ) > real ).

thf(func_def_3765,type,
    sK2631: ( real > real ) > real > real > real ).

thf(func_def_3766,type,
    sK2632: ( real > real ) > real > real > real ).

thf(func_def_3767,type,
    sK2633: set_real > real > ( real > real ) > real ).

thf(func_def_3768,type,
    sK2634: set_real > real > ( real > real ) > real ).

thf(func_def_3769,type,
    sK2635: set_real > real > ( real > real ) > real ).

thf(func_def_3770,type,
    sK2636: set_real > real > ( real > real ) > real ).

thf(func_def_3771,type,
    sK2637: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3772,type,
    sK2638: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_3773,type,
    sK2639: real > real > ( real > real ) > real ).

thf(func_def_3774,type,
    sK2640: real > real > ( real > real ) > real ).

thf(func_def_3775,type,
    sK2641: real > real > ( real > real ) > real ).

thf(func_def_3776,type,
    sK2642: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_3777,type,
    sK2643: ( nat > real > real ) > nat ).

thf(func_def_3778,type,
    sK2644: ( nat > real > real ) > real ).

thf(func_def_3779,type,
    sK2645: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_3780,type,
    sK2646: ( nat > real > real ) > nat ).

thf(func_def_3781,type,
    sK2647: ( nat > real > real ) > real ).

thf(func_def_3782,type,
    sK2648: nat > real > ( nat > real > real ) > nat ).

thf(func_def_3783,type,
    sK2649: nat > real > ( nat > real > real ) > real ).

thf(func_def_3784,type,
    sK2650: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_3785,type,
    sK2651: nat > real > ( nat > real > real ) > nat ).

thf(func_def_3786,type,
    sK2652: nat > real > ( nat > real > real ) > real ).

thf(func_def_3787,type,
    sK2653: nat > ( real > real ) > ( nat > real > real ) > real > real ).

thf(func_def_3788,type,
    sK2654: nat > real > ( nat > real > real ) > nat ).

thf(func_def_3789,type,
    sK2655: nat > real > ( nat > real > real ) > real ).

thf(func_def_3790,type,
    sK2656: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_3791,type,
    sK2657: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_3792,type,
    sK2658: ( nat > real > real ) > nat ).

thf(func_def_3793,type,
    sK2659: ( nat > real > real ) > real ).

thf(func_def_3794,type,
    sK2660: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_3795,type,
    sK2661: real > nat > ( nat > real > real ) > nat ).

thf(func_def_3796,type,
    sK2662: real > nat > ( nat > real > real ) > real ).

thf(func_def_3797,type,
    sK2663: ( real > real ) > ( nat > real > real ) > real > real > nat > real ).

thf(func_def_3798,type,
    sK2664: real > real > ( nat > real > real ) > nat > nat ).

thf(func_def_3799,type,
    sK2665: real > real > ( nat > real > real ) > nat > real ).

thf(func_def_3800,type,
    sK2666: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_3801,type,
    sK2667: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_3802,type,
    sK2668: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_3803,type,
    sK2669: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_3804,type,
    sK2670: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_3805,type,
    sK2671: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_3806,type,
    sK2672: ( nat > real > real ) > real > nat > nat ).

thf(func_def_3807,type,
    sK2673: ( nat > real > real ) > real > nat > real ).

thf(func_def_3808,type,
    sK2674: ( nat > real ) > real > real ).

thf(func_def_3809,type,
    sK2675: ( real > real ) > real > real > real ).

thf(func_def_3810,type,
    sK2676: real > ( real > real ) > real ).

thf(func_def_3811,type,
    sK2677: real > ( real > real ) > real ).

thf(func_def_3812,type,
    sK2678: real > ( real > real ) > real ).

thf(func_def_3813,type,
    sK2679: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3814,type,
    sK2680: ( real > real ) > real > real > real ).

thf(func_def_3815,type,
    sK2681: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3816,type,
    sK2682: ( real > real ) > real > real > real ).

thf(func_def_3817,type,
    sK2683: ( real > real ) > real > real > real ).

thf(func_def_3818,type,
    sK2684: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_3819,type,
    sK2685: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3820,type,
    sK2686: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_3821,type,
    sK2687: real > real > ( real > real ) > real ).

thf(func_def_3822,type,
    sK2688: real > real > ( real > real ) > real ).

thf(func_def_3823,type,
    sK2689: ( real > real ) > ( real > real ) > ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_3824,type,
    sK2690: ( nat > real ) > nat ).

thf(func_def_3825,type,
    sK2691: ( nat > real ) > nat ).

thf(func_def_3826,type,
    sK2692: ( nat > real ) > ( nat > real ) > real ).

thf(func_def_3827,type,
    sK2693: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_3828,type,
    sK2694: ( nat > real ) > nat ).

thf(func_def_3829,type,
    sK2695: ( nat > real ) > nat ).

thf(func_def_3830,type,
    sK2696: ( nat > real ) > real ).

thf(func_def_3831,type,
    sK2697: nat > ( nat > real ) > nat ).

thf(func_def_3832,type,
    sK2698: real > ( nat > real ) > real ).

thf(func_def_3833,type,
    sK2699: real > ( nat > real ) > nat ).

thf(func_def_3834,type,
    sK2700: ( nat > real ) > nat ).

thf(func_def_3835,type,
    sK2701: ( nat > real ) > nat ).

thf(func_def_3836,type,
    sK2702: ( nat > real ) > nat ).

thf(func_def_3837,type,
    sK2703: ( nat > real ) > nat ).

thf(func_def_3838,type,
    sK2704: ( nat > real ) > nat ).

thf(func_def_3839,type,
    sK2705: ( nat > real ) > nat ).

thf(func_def_3840,type,
    sK2706: ( nat > real ) > nat ).

thf(func_def_3841,type,
    sK2707: ( nat > real ) > real ).

thf(func_def_3842,type,
    sK2708: ( nat > real ) > nat ).

thf(func_def_3843,type,
    sK2709: ( nat > real ) > nat ).

thf(func_def_3844,type,
    sK2710: ( nat > real ) > nat ).

thf(func_def_3845,type,
    sK2711: ( nat > real ) > nat ).

thf(func_def_3846,type,
    sK2712: ( nat > $o ) > nat > nat ).

thf(func_def_3847,type,
    sK2713: ( real > real ) > real > real ).

thf(func_def_3848,type,
    sK2714: ( real > real ) > real > real ).

thf(func_def_3849,type,
    sK2715: real > real > ( real > real ) > real ).

thf(func_def_3850,type,
    sK2716: real > real > ( real > real ) > real ).

thf(func_def_3851,type,
    sK2717: real > real > ( real > real ) > real ).

thf(func_def_3852,type,
    sK2718: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_3853,type,
    sK2719: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_3854,type,
    sK2720: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_3855,type,
    sK2721: ( real > real ) > real > real > real ).

thf(func_def_3856,type,
    sK2722: ( real > real ) > real > real > real ).

thf(func_def_3857,type,
    sK2723: ( real > real ) > real > real > real ).

thf(func_def_3858,type,
    sK2724: ( real > real ) > real > real > real ).

thf(func_def_3859,type,
    sK2725: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_3860,type,
    sK2726: ( real > real > real ) > real > real > real ).

thf(func_def_3861,type,
    sK2727: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_3862,type,
    sK2728: ( real > real > real ) > ( real > real ) > real > real > real ).

thf(func_def_3863,type,
    sK2729: ( real > real ) > real > real > real ).

thf(func_def_3864,type,
    sK2730: ( real > real ) > real > real > real ).

thf(func_def_3865,type,
    sK2731: ( real > real ) > real > real > real ).

thf(func_def_3866,type,
    sK2732: ( real > real ) > real > real > real ).

thf(func_def_3867,type,
    sK2733: real > real > ( real > real ) > real ).

thf(func_def_3868,type,
    sK2734: ( real > real ) > real > real > real ).

thf(func_def_3869,type,
    sK2735: nat > set_nat > nat ).

thf(func_def_3870,type,
    sK2736: ( real > real ) > real ).

thf(func_def_3871,type,
    sK2737: ( real > real ) > ( real > real ) > real ).

thf(func_def_3872,type,
    sK2738: set_nat > nat > nat ).

thf(func_def_3873,type,
    sK2739: nat > list_nat > nat ).

thf(func_def_3874,type,
    sK2740: nat > list_nat > list_nat ).

thf(func_def_3875,type,
    sK2741: nat > list_nat > nat ).

thf(func_def_3876,type,
    sK2742: nat > list_nat > list_nat ).

thf(func_def_3877,type,
    sK2743: num > num > option_num > num ).

thf(func_def_3878,type,
    sK2744: num > num > option_num > num ).

thf(func_def_3879,type,
    sK2745: num > num > option_num > num ).

thf(func_def_3880,type,
    sK2746: num > num > option_num > num ).

thf(func_def_3881,type,
    sK2747: num > num > option_num > num ).

thf(func_def_3882,type,
    sK2748: num > num > option_num > num ).

thf(func_def_3883,type,
    sK2749: num > num > option_num > num ).

thf(func_def_3884,type,
    sK2750: num > num > option_num > num ).

thf(func_def_3885,type,
    sK2751: num > num ).

thf(func_def_3886,type,
    sK2752: num > num ).

thf(func_def_3887,type,
    sK2753: option_num > num > num > num ).

thf(func_def_3888,type,
    sK2754: option_num > num > num > num ).

thf(func_def_3889,type,
    sK2755: num > num > option_num > num ).

thf(func_def_3890,type,
    sK2756: num > num > option_num > num ).

thf(func_def_3891,type,
    sK2757: num > num ).

thf(func_def_3892,type,
    sK2758: num > num > option_num > num ).

thf(func_def_3893,type,
    sK2759: num > num > option_num > num ).

thf(func_def_3894,type,
    sK2760: num > num > option_num > num ).

thf(func_def_3895,type,
    sK2761: num > num > option_num > num ).

thf(func_def_3896,type,
    sK2762: num > num ).

thf(func_def_3897,type,
    sK2763: num > num ).

thf(func_def_3898,type,
    sK2764: num > num ).

thf(func_def_3899,type,
    sK2765: option_num > num > num > num ).

thf(func_def_3900,type,
    sK2766: option_num > num > num > num ).

thf(func_def_3901,type,
    sK2767: num > num > option_num > num ).

thf(func_def_3902,type,
    sK2768: num > num > option_num > num ).

thf(func_def_3903,type,
    sK2769: num > num > option_num > num ).

thf(func_def_3904,type,
    sK2770: num > num > option_num > num ).

thf(func_def_3905,type,
    sK2771: num > num > option_num > num ).

thf(func_def_3906,type,
    sK2772: num > num > option_num > num ).

thf(func_def_3907,type,
    sK2773: num > num > option_num > num ).

thf(func_def_3908,type,
    sK2774: num > num > option_num > num ).

thf(func_def_3909,type,
    sK2775: num > option_num > num ).

thf(func_def_3910,type,
    sK2776: num > option_num > num ).

thf(func_def_3911,type,
    sK2777: option_num > num > num > num ).

thf(func_def_3912,type,
    sK2778: option_num > num > num > num ).

thf(func_def_3913,type,
    sK2779: ( real > $o ) > real ).

thf(func_def_3914,type,
    sK2780: set_nat > nat ).

thf(func_def_3915,type,
    sK2781: nat > set_nat > nat ).

thf(func_def_3916,type,
    sK2782: set_nat > nat ).

thf(func_def_3917,type,
    sK2783: nat > set_nat > nat ).

thf(func_def_3918,type,
    sK2784: set_nat > nat ).

thf(func_def_3919,type,
    sK2785: set_nat > nat ).

thf(func_def_3920,type,
    sK2786: ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_3921,type,
    sK2787: nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_3922,type,
    sK2788: nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_3923,type,
    sK2789: nat > set_nat > nat ).

thf(func_def_3924,type,
    sK2790: nat > set_nat > nat ).

thf(func_def_3925,type,
    sK2791: int > int > int ).

thf(func_def_3926,type,
    sK2792: nat > nat > nat ).

thf(func_def_3927,type,
    sK2793: filter_nat > nat ).

thf(func_def_3928,type,
    sK2794: ( nat > $o ) > nat ).

thf(func_def_3929,type,
    sK2795: nat > ( nat > $o ) > nat ).

thf(func_def_3930,type,
    sK2796: ( nat > real ) > nat ).

thf(func_def_3931,type,
    sK2797: ( nat > real ) > nat ).

thf(func_def_3932,type,
    sK2798: ( nat > real ) > nat ).

thf(func_def_3933,type,
    sK2799: ( nat > real ) > nat ).

thf(func_def_3934,type,
    sK2800: ( nat > real ) > nat ).

thf(func_def_3935,type,
    sK2801: ( nat > real ) > nat ).

thf(func_def_3936,type,
    sK2802: ( nat > real ) > nat ).

thf(func_def_3937,type,
    sK2803: ( nat > real ) > nat ).

thf(func_def_3938,type,
    sK2804: ( nat > real ) > nat ).

thf(func_def_3939,type,
    sK2805: ( nat > real ) > nat ).

thf(func_def_3940,type,
    sK2806: ( nat > real ) > nat ).

thf(func_def_3941,type,
    sK2807: ( nat > real ) > nat ).

thf(func_def_3942,type,
    sK2808: int > int > int ).

thf(func_def_3943,type,
    sK2809: nat > nat > nat ).

thf(func_def_3944,type,
    sK2810: nat > nat ).

thf(func_def_3945,type,
    sK2811: nat > nat ).

thf(func_def_3946,type,
    sK2812: set_int > int ).

thf(func_def_3947,type,
    sK2813: nat > set_int > nat ).

thf(func_def_3948,type,
    sK2814: set_int > nat ).

thf(func_def_3949,type,
    sK2815: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3950,type,
    sK2816: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3951,type,
    sK2817: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3952,type,
    sK2818: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_3953,type,
    sK2819: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_3954,type,
    sK2820: nat > set_nat > nat ).

thf(func_def_3955,type,
    sK2821: nat > ( real > $o ) > real > real ).

thf(func_def_3956,type,
    sK2822: nat > nat > nat > nat ).

thf(func_def_3957,type,
    sK2823: int > int > int > int ).

thf(func_def_3958,type,
    sK2824: nat > set_nat > nat ).

thf(func_def_3959,type,
    sK2825: nat > set_nat > nat ).

thf(func_def_3960,type,
    sK2826: nat > set_nat > nat ).

thf(func_def_3961,type,
    sK2827: nat > set_nat > nat ).

thf(func_def_3962,type,
    sK2828: int > int ).

thf(func_def_3963,type,
    sK2829: int > int > int ).

thf(func_def_3964,type,
    sK2830: set_nat > nat ).

thf(func_def_3965,type,
    sK2831: nat > set_nat > nat ).

thf(func_def_3966,type,
    sK2832: ( nat > $o ) > nat > nat ).

thf(func_def_3967,type,
    sK2833: ( nat > $o ) > nat > nat ).

thf(func_def_3968,type,
    sK2834: ( nat > $o ) > nat > nat ).

thf(func_def_3969,type,
    sK2835: ( nat > $o ) > nat > nat ).

thf(func_def_3970,type,
    sK2836: nat > nat > nat ).

thf(func_def_3971,type,
    sK2837: int > int > int > int ).

thf(func_def_3972,type,
    sK2838: int > int > int > int ).

thf(func_def_3973,type,
    sK2839: int > int > int > int ).

thf(func_def_3974,type,
    sK2840: int > int > int > int ).

thf(func_def_3975,type,
    sK2841: int > int > int > int ).

thf(func_def_3976,type,
    sK2842: int > int > int > int ).

thf(func_def_3977,type,
    sK2843: int > int > int > int ).

thf(func_def_3978,type,
    sK2844: int > int > int > int ).

thf(func_def_3979,type,
    sK2845: int > int > int > int ).

thf(func_def_3980,type,
    sK2846: int > int > int > int ).

thf(func_def_3981,type,
    sK2847: int > int > int > int ).

thf(func_def_3982,type,
    sK2848: int > int > int > int ).

thf(func_def_3983,type,
    sK2849: int > int > int > int ).

thf(func_def_3984,type,
    sK2850: int > int > int > int ).

thf(func_def_3985,type,
    sK2851: real > nat ).

thf(func_def_3986,type,
    sK2852: int > ( nat > $o ) > nat ).

thf(func_def_3987,type,
    sK2853: int > ( nat > $o ) > nat ).

thf(func_def_3988,type,
    sK2854: real > real > real > real ).

thf(func_def_3989,type,
    sK2855: nat > nat > nat > nat ).

thf(func_def_3990,type,
    sK2856: nat > set_nat > nat ).

thf(func_def_3991,type,
    sK2857: nat > set_nat > nat ).

thf(func_def_3992,type,
    sK2858: nat > set_nat > nat ).

thf(func_def_3993,type,
    sK2859: nat > set_nat > nat ).

thf(func_def_3994,type,
    sK2860: nat > set_nat > nat ).

thf(func_def_3995,type,
    sK2861: nat > set_nat > nat ).

thf(func_def_3996,type,
    sK2862: nat > set_nat > nat ).

thf(func_def_3997,type,
    sK2863: nat > set_nat > nat ).

thf(func_def_3998,type,
    sK2864: nat > set_nat > nat ).

thf(func_def_3999,type,
    sK2865: nat > set_nat > nat ).

thf(func_def_4000,type,
    sK2866: nat > set_nat > nat ).

thf(func_def_4001,type,
    sK2867: nat > set_nat > nat ).

thf(func_def_4002,type,
    sK2868: nat > set_nat > nat ).

thf(func_def_4003,type,
    sK2869: nat > set_nat > nat ).

thf(func_def_4004,type,
    sK2870: nat > set_nat > nat ).

thf(func_def_4005,type,
    sK2871: nat > set_nat > nat ).

thf(func_def_4006,type,
    sK2872: nat > set_nat > nat ).

thf(func_def_4007,type,
    sK2873: set_nat > nat > nat ).

thf(func_def_4008,type,
    sK2874: set_nat > nat > nat ).

thf(func_def_4009,type,
    sK2875: nat > nat > nat ).

thf(func_def_4010,type,
    sK2876: set_int > int ).

thf(func_def_4011,type,
    sK2877: set_int > int ).

thf(func_def_4012,type,
    sK2878: set_nat > nat ).

thf(func_def_4013,type,
    sK2879: set_int > int ).

thf(func_def_4014,type,
    sK2880: set_nat > nat ).

thf(func_def_4015,type,
    sK2881: set_int > int ).

thf(func_def_4016,type,
    sK2882: set_nat > nat ).

thf(func_def_4017,type,
    sK2883: ( int > nat ) > set_int > int ).

thf(func_def_4018,type,
    sK2884: ( complex > rat ) > set_complex > complex ).

thf(func_def_4019,type,
    sK2885: ( int > rat ) > set_int > int ).

thf(func_def_4020,type,
    sK2886: ( nat > rat ) > set_nat > nat ).

thf(func_def_4021,type,
    sK2887: set_nat > nat > nat ).

thf(func_def_4022,type,
    sK2888: set_nat > nat > nat ).

thf(func_def_4023,type,
    sK2889: nat > set_nat > nat ).

thf(func_def_4024,type,
    sK2890: ( complex > real ) > set_complex > complex ).

thf(func_def_4025,type,
    sK2891: ( int > real ) > set_int > int ).

thf(func_def_4026,type,
    sK2892: ( nat > real ) > set_nat > nat ).

thf(func_def_4027,type,
    sK2893: set_nat > nat > nat ).

thf(func_def_4028,type,
    sK2894: set_nat > nat > nat ).

thf(func_def_4029,type,
    sK2895: nat > set_nat > nat ).

thf(func_def_4030,type,
    sK2896: ( complex > complex ) > set_complex > complex ).

thf(func_def_4031,type,
    sK2897: ( int > complex ) > set_int > int ).

thf(func_def_4032,type,
    sK2898: ( nat > complex ) > set_nat > nat ).

thf(func_def_4033,type,
    sK2899: set_nat > nat > nat ).

thf(func_def_4034,type,
    sK2900: set_nat > nat > nat ).

thf(func_def_4035,type,
    sK2901: nat > set_nat > nat ).

thf(func_def_4036,type,
    sK2902: nat > nat ).

thf(func_def_4037,type,
    sK2903: set_nat > set_nat > nat ).

thf(func_def_4038,type,
    sK2904: nat > real > nat ).

thf(func_def_4039,type,
    sK2905: nat > rat > nat ).

thf(func_def_4040,type,
    sK2906: nat > complex > nat ).

thf(func_def_4041,type,
    sK2907: rat > ( int > $o ) > int ).

thf(func_def_4042,type,
    sK2908: real > ( int > $o ) > int ).

thf(func_def_4043,type,
    sK2909: set_nat > nat > nat ).

thf(func_def_4044,type,
    sK2910: set_nat > nat > nat ).

thf(func_def_4045,type,
    sK2911: set_nat > nat > nat ).

thf(func_def_4046,type,
    sK2912: set_nat > nat > nat ).

thf(func_def_4047,type,
    sK2913: set_nat > nat > nat ).

thf(func_def_4048,type,
    sK2914: set_nat > nat > nat ).

thf(func_def_4049,type,
    sK2915: set_nat > nat > nat ).

thf(func_def_4050,type,
    sK2916: nat > set_nat > nat ).

thf(func_def_4051,type,
    sK2917: ( nat > int ) > nat ).

thf(func_def_4052,type,
    sK2918: ( nat > nat ) > nat ).

thf(func_def_4053,type,
    sK2919: ( nat > real ) > nat ).

thf(func_def_4054,type,
    sK2920: set_nat > nat > nat ).

thf(func_def_4055,type,
    sK2921: set_nat > nat > nat ).

thf(func_def_4056,type,
    sK2922: set_nat > nat > nat ).

thf(func_def_4057,type,
    sK2923: set_nat > nat > nat ).

thf(func_def_4058,type,
    sK2924: ( nat > $o ) > nat > nat ).

thf(func_def_4059,type,
    sK2925: ( nat > $o ) > nat > nat ).

thf(func_def_4060,type,
    sK2926: ( nat > $o ) > nat > nat ).

thf(func_def_4061,type,
    sK2927: ( nat > $o ) > nat > nat ).

thf(func_def_4062,type,
    sK2928: set_nat > nat > nat ).

thf(func_def_4063,type,
    sK2929: set_nat > nat > nat ).

thf(func_def_4064,type,
    sK2930: set_nat > nat > nat ).

thf(func_def_4065,type,
    sK2931: set_nat > nat > nat ).

thf(func_def_4066,type,
    sK2932: set_nat > nat > nat ).

thf(func_def_4067,type,
    sK2933: set_nat > nat > nat ).

thf(func_def_4068,type,
    sK2934: set_nat > nat > nat ).

thf(func_def_4069,type,
    sK2935: set_nat > nat > nat ).

thf(func_def_4070,type,
    sK2936: ( nat > int ) > nat ).

thf(func_def_4071,type,
    sK2937: ( nat > nat ) > nat ).

thf(func_def_4072,type,
    sK2938: ( nat > real ) > nat ).

thf(func_def_4073,type,
    sK2939: set_nat > nat > nat ).

thf(func_def_4074,type,
    sK2940: set_nat > nat > nat ).

thf(func_def_4075,type,
    sK2941: set_nat > nat > nat ).

thf(func_def_4076,type,
    sK2942: set_nat > nat > nat ).

thf(func_def_4077,type,
    sK2943: set_nat > nat > nat ).

thf(func_def_4078,type,
    sK2944: set_nat > nat > nat ).

thf(func_def_4079,type,
    sK2945: set_nat > nat > nat ).

thf(func_def_4080,type,
    sK2946: set_nat > nat > nat ).

thf(func_def_4081,type,
    sK2947: set_nat > nat > nat ).

thf(func_def_4082,type,
    sK2948: set_nat > nat > nat ).

thf(func_def_4083,type,
    sK2949: set_nat > nat > nat ).

thf(func_def_4084,type,
    sK2950: set_nat > nat > nat ).

thf(func_def_4085,type,
    sK2951: ( nat > $o ) > nat > nat ).

thf(func_def_4086,type,
    sK2952: ( nat > $o ) > nat > nat ).

thf(func_def_4087,type,
    sK2953: ( nat > $o ) > nat > nat ).

thf(func_def_4088,type,
    sK2954: ( nat > $o ) > nat > nat ).

thf(func_def_4089,type,
    sK2955: set_nat > nat > nat ).

thf(func_def_4090,type,
    sK2956: set_nat > nat > nat ).

thf(func_def_4091,type,
    sK2957: set_nat > nat > nat ).

thf(func_def_4092,type,
    sK2958: set_nat > nat > nat ).

thf(func_def_4093,type,
    sK2959: set_nat > nat > nat ).

thf(func_def_4094,type,
    sK2960: set_nat > nat > nat ).

thf(func_def_4095,type,
    sK2961: set_nat > nat > nat ).

thf(func_def_4096,type,
    sK2962: set_nat > nat > nat ).

thf(func_def_4097,type,
    sK2963: set_nat > nat > nat ).

thf(func_def_4098,type,
    sK2964: real > real > real ).

thf(func_def_4099,type,
    sK2965: nat > nat > nat ).

thf(func_def_4100,type,
    sK2966: nat > nat ).

thf(func_def_4101,type,
    sK2967: nat > set_nat > nat ).

thf(func_def_4102,type,
    sK2968: nat > set_nat > nat ).

thf(func_def_4103,type,
    sK2969: nat > set_nat > nat ).

thf(func_def_4104,type,
    sK2970: set_nat > set_nat > nat ).

thf(func_def_4105,type,
    sK2971: set_nat > nat > nat ).

thf(func_def_4106,type,
    sK2972: set_nat > nat > nat ).

thf(func_def_4107,type,
    sK2973: set_nat > set_nat > nat ).

thf(func_def_4108,type,
    sK2974: set_nat > nat > nat ).

thf(func_def_4109,type,
    sK2975: set_nat > nat > nat ).

thf(func_def_4110,type,
    sK2976: set_nat > set_nat > nat ).

thf(func_def_4111,type,
    sK2977: set_nat > nat > nat ).

thf(func_def_4112,type,
    sK2978: set_nat > nat > nat ).

thf(func_def_4113,type,
    sK2979: set_nat > set_nat > nat ).

thf(func_def_4114,type,
    sK2980: set_nat > nat > nat ).

thf(func_def_4115,type,
    sK2981: set_nat > nat > nat ).

thf(func_def_4116,type,
    sK2982: set_real > set_real > real ).

thf(func_def_4117,type,
    sK2983: set_real > set_real > real ).

thf(func_def_4118,type,
    sK2984: set_real > set_real > real ).

thf(func_def_4119,type,
    sK2985: set_real > set_real > real ).

thf(func_def_4120,type,
    sK2986: set_real > set_real > real ).

thf(func_def_4121,type,
    sK2987: set_real > set_real > real ).

thf(func_def_4122,type,
    sK2988: set_nat > set_nat > nat ).

thf(func_def_4123,type,
    sK2989: set_nat > nat > nat ).

thf(func_def_4124,type,
    sK2990: set_nat > nat > nat ).

thf(func_def_4125,type,
    sK2991: set_nat > set_nat > nat ).

thf(func_def_4126,type,
    sK2992: set_nat > nat > nat ).

thf(func_def_4127,type,
    sK2993: set_nat > nat > nat ).

thf(func_def_4128,type,
    sK2994: set_nat > set_nat > nat ).

thf(func_def_4129,type,
    sK2995: set_nat > nat > nat ).

thf(func_def_4130,type,
    sK2996: set_nat > nat > nat ).

thf(func_def_4131,type,
    sK2997: set_real > set_real > real ).

thf(func_def_4132,type,
    sK2998: set_real > set_real > real ).

thf(func_def_4133,type,
    sK2999: set_real > set_real > real ).

thf(func_def_4134,type,
    sK3000: set_real > set_real > real ).

thf(func_def_4135,type,
    sK3001: set_real > set_real > real ).

thf(func_def_4136,type,
    sK3002: set_real > set_real > real ).

thf(func_def_4137,type,
    sK3003: set_nat > list_nat > nat ).

thf(func_def_4138,type,
    sK3004: set_nat > nat > nat ).

thf(func_def_4139,type,
    sK3005: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_4140,type,
    sK3006: nat > set_nat > nat ).

thf(func_def_4141,type,
    sK3007: nat > set_nat > nat ).

thf(func_def_4142,type,
    sK3008: set_nat > set_nat > nat ).

thf(func_def_4143,type,
    sK3009: nat > set_nat > nat ).

thf(func_def_4144,type,
    sK3010: nat > set_nat > nat ).

thf(func_def_4145,type,
    sK3011: set_nat > set_nat > nat ).

thf(func_def_4146,type,
    sK3012: nat > set_nat > nat ).

thf(func_def_4147,type,
    sK3013: nat > set_nat > nat ).

thf(func_def_4148,type,
    sK3014: set_real > set_real > real ).

thf(func_def_4149,type,
    sK3015: set_real > set_real > real ).

thf(func_def_4150,type,
    sK3016: set_real > set_real > real ).

thf(func_def_4151,type,
    sK3017: set_real > set_real > real ).

thf(func_def_4152,type,
    sK3018: set_nat > set_nat > nat ).

thf(func_def_4153,type,
    sK3019: nat > set_nat > nat ).

thf(func_def_4154,type,
    sK3020: nat > set_nat > nat ).

thf(func_def_4155,type,
    sK3021: set_nat > set_nat > nat ).

thf(func_def_4156,type,
    sK3022: nat > set_nat > nat ).

thf(func_def_4157,type,
    sK3023: nat > set_nat > nat ).

thf(func_def_4158,type,
    sK3024: set_nat > set_nat > nat ).

thf(func_def_4159,type,
    sK3025: nat > set_nat > nat ).

thf(func_def_4160,type,
    sK3026: nat > set_nat > nat ).

thf(func_def_4161,type,
    sK3027: set_real > set_real > real ).

thf(func_def_4162,type,
    sK3028: set_real > set_real > real ).

thf(func_def_4163,type,
    sK3029: set_real > set_real > real ).

thf(func_def_4164,type,
    sK3030: set_real > set_real > real ).

thf(func_def_4165,type,
    sK3031: set_real > set_real > real ).

thf(func_def_4166,type,
    sK3032: set_real > set_real > real ).

thf(func_def_4167,type,
    sK3033: set_nat > set_nat > nat ).

thf(func_def_4168,type,
    sK3034: nat > set_nat > nat ).

thf(func_def_4169,type,
    sK3035: nat > set_nat > nat ).

thf(func_def_4170,type,
    sK3036: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4171,type,
    sK3037: set_nat > set_nat > nat ).

thf(func_def_4172,type,
    sK3038: nat > set_nat > nat ).

thf(func_def_4173,type,
    sK3039: nat > set_nat > nat ).

thf(func_def_4174,type,
    sK3040: set_nat > set_nat > nat ).

thf(func_def_4175,type,
    sK3041: nat > set_nat > nat ).

thf(func_def_4176,type,
    sK3042: nat > set_nat > nat ).

thf(func_def_4177,type,
    sK3043: set_nat > set_nat > nat ).

thf(func_def_4178,type,
    sK3044: nat > set_nat > nat ).

thf(func_def_4179,type,
    sK3045: nat > set_nat > nat ).

thf(func_def_4180,type,
    sK3046: set_nat > set_nat > nat ).

thf(func_def_4181,type,
    sK3047: nat > set_nat > nat ).

thf(func_def_4182,type,
    sK3048: set_nat > set_nat > nat ).

thf(func_def_4183,type,
    sK3049: nat > set_nat > nat ).

thf(func_def_4184,type,
    sK3050: set_nat > set_nat > nat ).

thf(func_def_4185,type,
    sK3051: set_nat > set_nat > nat ).

thf(func_def_4186,type,
    sK3052: set_nat > nat > nat ).

thf(func_def_4187,type,
    sK3053: set_nat > nat > nat ).

thf(func_def_4188,type,
    sK3054: set_nat > nat > nat ).

thf(func_def_4189,type,
    sK3055: set_nat > nat > nat ).

thf(func_def_4190,type,
    sK3056: set_nat > set_nat > nat ).

thf(func_def_4191,type,
    sK3057: set_nat > set_nat > nat ).

thf(func_def_4192,type,
    sK3058: set_nat > nat > nat ).

thf(func_def_4193,type,
    sK3059: set_nat > nat > nat ).

thf(func_def_4194,type,
    sK3060: set_nat > nat > nat ).

thf(func_def_4195,type,
    sK3061: set_nat > nat > nat ).

thf(func_def_4196,type,
    sK3062: set_nat > set_nat > nat ).

thf(func_def_4197,type,
    sK3063: set_nat > set_nat > nat ).

thf(func_def_4198,type,
    sK3064: set_nat > nat > nat ).

thf(func_def_4199,type,
    sK3065: set_nat > nat > nat ).

thf(func_def_4200,type,
    sK3066: set_nat > nat > nat ).

thf(func_def_4201,type,
    sK3067: set_nat > nat > nat ).

thf(func_def_4202,type,
    sK3068: set_nat > set_nat > nat ).

thf(func_def_4203,type,
    sK3069: set_nat > set_nat > nat ).

thf(func_def_4204,type,
    sK3070: set_nat > nat > nat ).

thf(func_def_4205,type,
    sK3071: set_nat > nat > nat ).

thf(func_def_4206,type,
    sK3072: set_nat > nat > nat ).

thf(func_def_4207,type,
    sK3073: set_nat > nat > nat ).

thf(func_def_4208,type,
    sK3074: set_nat > set_nat > nat ).

thf(func_def_4209,type,
    sK3075: set_nat > set_nat > nat ).

thf(func_def_4210,type,
    sK3076: set_nat > nat > nat ).

thf(func_def_4211,type,
    sK3077: set_nat > nat > nat ).

thf(func_def_4212,type,
    sK3078: set_nat > nat > nat ).

thf(func_def_4213,type,
    sK3079: set_nat > nat > nat ).

thf(func_def_4214,type,
    sK3080: set_nat > set_nat > nat ).

thf(func_def_4215,type,
    sK3081: set_nat > set_nat > nat ).

thf(func_def_4216,type,
    sK3082: set_nat > nat > nat ).

thf(func_def_4217,type,
    sK3083: set_nat > nat > nat ).

thf(func_def_4218,type,
    sK3084: set_nat > nat > nat ).

thf(func_def_4219,type,
    sK3085: set_nat > nat > nat ).

thf(func_def_4220,type,
    sK3086: set_nat > set_nat > nat ).

thf(func_def_4221,type,
    sK3087: set_nat > set_nat > nat ).

thf(func_def_4222,type,
    sK3088: set_nat > nat > nat ).

thf(func_def_4223,type,
    sK3089: set_nat > nat > nat ).

thf(func_def_4224,type,
    sK3090: set_nat > nat > nat ).

thf(func_def_4225,type,
    sK3091: set_nat > nat > nat ).

thf(func_def_4226,type,
    sK3092: set_nat > set_nat > nat ).

thf(func_def_4227,type,
    sK3093: set_nat > set_nat > nat ).

thf(func_def_4228,type,
    sK3094: set_nat > nat > nat ).

thf(func_def_4229,type,
    sK3095: set_nat > nat > nat ).

thf(func_def_4230,type,
    sK3096: set_nat > nat > nat ).

thf(func_def_4231,type,
    sK3097: set_nat > nat > nat ).

thf(func_def_4232,type,
    sK3098: set_real > set_real > real ).

thf(func_def_4233,type,
    sK3099: set_real > set_real > real ).

thf(func_def_4234,type,
    sK3100: set_real > set_real > real ).

thf(func_def_4235,type,
    sK3101: set_real > set_real > real ).

thf(func_def_4236,type,
    sK3102: set_real > set_real > real ).

thf(func_def_4237,type,
    sK3103: set_real > set_real > real ).

thf(func_def_4238,type,
    sK3104: set_real > set_real > real ).

thf(func_def_4239,type,
    sK3105: set_real > set_real > real ).

thf(func_def_4240,type,
    sK3106: set_real > set_real > real ).

thf(func_def_4241,type,
    sK3107: set_real > set_real > real ).

thf(func_def_4242,type,
    sK3108: set_real > set_real > real ).

thf(func_def_4243,type,
    sK3109: set_real > set_real > real ).

thf(func_def_4244,type,
    sK3110: set_real > set_real > real ).

thf(func_def_4245,type,
    sK3111: set_real > set_real > real ).

thf(func_def_4246,type,
    sK3112: set_real > set_real > real ).

thf(func_def_4247,type,
    sK3113: set_real > set_real > real ).

thf(func_def_4248,type,
    sK3114: set_real > set_real > real ).

thf(func_def_4249,type,
    sK3115: set_real > set_real > real ).

thf(func_def_4250,type,
    sK3116: set_real > set_real > real ).

thf(func_def_4251,type,
    sK3117: set_real > set_real > real ).

thf(func_def_4252,type,
    sK3118: set_real > set_real > real ).

thf(func_def_4253,type,
    sK3119: set_real > set_real > real ).

thf(func_def_4254,type,
    sK3120: set_real > set_real > real ).

thf(func_def_4255,type,
    sK3121: set_real > set_real > real ).

thf(func_def_4256,type,
    sK3122: set_real > set_real > real ).

thf(func_def_4257,type,
    sK3123: set_real > set_real > real ).

thf(func_def_4258,type,
    sK3124: set_real > set_real > real ).

thf(func_def_4259,type,
    sK3125: set_real > set_real > real ).

thf(func_def_4260,type,
    sK3126: set_real > set_real > real ).

thf(func_def_4261,type,
    sK3127: set_real > set_real > real ).

thf(func_def_4262,type,
    sK3128: set_real > set_real > real ).

thf(func_def_4263,type,
    sK3129: set_real > set_real > real ).

thf(func_def_4264,type,
    sK3130: set_real > set_real > real ).

thf(func_def_4265,type,
    sK3131: set_real > set_real > real ).

thf(func_def_4266,type,
    sK3132: set_real > set_real > real ).

thf(func_def_4267,type,
    sK3133: set_real > set_real > real ).

thf(func_def_4268,type,
    sK3134: set_real > set_real > real ).

thf(func_def_4269,type,
    sK3135: set_real > set_real > real ).

thf(func_def_4270,type,
    sK3136: set_real > set_real > real ).

thf(func_def_4271,type,
    sK3137: set_real > set_real > real ).

thf(func_def_4272,type,
    sK3138: set_real > set_real > real ).

thf(func_def_4273,type,
    sK3139: set_real > set_real > real ).

thf(func_def_4274,type,
    sK3140: set_real > set_real > real ).

thf(func_def_4275,type,
    sK3141: set_real > set_real > real ).

thf(func_def_4276,type,
    sK3142: set_real > set_real > real ).

thf(func_def_4277,type,
    sK3143: set_real > set_real > real ).

thf(func_def_4278,type,
    sK3144: set_real > set_real > real ).

thf(func_def_4279,type,
    sK3145: set_real > set_real > real ).

thf(func_def_4280,type,
    sK3146: set_real > set_real > real ).

thf(func_def_4281,type,
    sK3147: set_real > set_real > real ).

thf(func_def_4282,type,
    sK3148: set_real > set_real > real ).

thf(func_def_4283,type,
    sK3149: set_real > set_real > real ).

thf(func_def_4284,type,
    sK3150: set_real > set_real > real ).

thf(func_def_4285,type,
    sK3151: set_real > set_real > real ).

thf(func_def_4286,type,
    sK3152: set_real > set_real > real ).

thf(func_def_4287,type,
    sK3153: set_real > set_real > real ).

thf(func_def_4288,type,
    sK3154: set_real > set_real > real ).

thf(func_def_4289,type,
    sK3155: set_real > set_real > real ).

thf(func_def_4290,type,
    sK3156: set_real > set_real > real ).

thf(func_def_4291,type,
    sK3157: set_real > set_real > real ).

thf(func_def_4292,type,
    sK3158: set_real > set_real > real ).

thf(func_def_4293,type,
    sK3159: set_real > set_real > real ).

thf(func_def_4294,type,
    sK3160: set_real > set_real > real ).

thf(func_def_4295,type,
    sK3161: set_real > set_real > real ).

thf(func_def_4296,type,
    sK3162: set_real > set_real > real ).

thf(func_def_4297,type,
    sK3163: set_real > set_real > real ).

thf(func_def_4298,type,
    sK3164: set_real > set_real > real ).

thf(func_def_4299,type,
    sK3165: set_real > set_real > real ).

thf(func_def_4300,type,
    sK3166: set_real > set_real > real ).

thf(func_def_4301,type,
    sK3167: set_real > set_real > real ).

thf(func_def_4302,type,
    sK3168: set_real > set_real > real ).

thf(func_def_4303,type,
    sK3169: set_real > set_real > real ).

thf(func_def_4304,type,
    sK3170: set_real > set_real > real ).

thf(func_def_4305,type,
    sK3171: set_real > set_real > real ).

thf(func_def_4306,type,
    sK3172: set_real > set_real > real ).

thf(func_def_4307,type,
    sK3173: set_real > set_real > real ).

thf(func_def_4308,type,
    sK3174: set_real > set_real > real ).

thf(func_def_4309,type,
    sK3175: set_real > set_real > real ).

thf(func_def_4310,type,
    sK3176: set_real > set_real > real ).

thf(func_def_4311,type,
    sK3177: set_real > set_real > real ).

thf(func_def_4312,type,
    sK3178: set_nat > set_nat > nat ).

thf(func_def_4313,type,
    sK3179: set_nat > set_nat > nat ).

thf(func_def_4314,type,
    sK3180: set_nat > nat > nat ).

thf(func_def_4315,type,
    sK3181: set_nat > nat > nat ).

thf(func_def_4316,type,
    sK3182: set_nat > nat > nat ).

thf(func_def_4317,type,
    sK3183: set_nat > nat > nat ).

thf(func_def_4318,type,
    sK3184: set_nat > set_nat > nat ).

thf(func_def_4319,type,
    sK3185: set_nat > set_nat > nat ).

thf(func_def_4320,type,
    sK3186: set_nat > nat > nat ).

thf(func_def_4321,type,
    sK3187: set_nat > nat > nat ).

thf(func_def_4322,type,
    sK3188: set_nat > nat > nat ).

thf(func_def_4323,type,
    sK3189: set_nat > nat > nat ).

thf(func_def_4324,type,
    sK3190: set_nat > set_nat > nat ).

thf(func_def_4325,type,
    sK3191: set_nat > set_nat > nat ).

thf(func_def_4326,type,
    sK3192: set_nat > nat > nat ).

thf(func_def_4327,type,
    sK3193: set_nat > nat > nat ).

thf(func_def_4328,type,
    sK3194: set_nat > nat > nat ).

thf(func_def_4329,type,
    sK3195: set_nat > nat > nat ).

thf(func_def_4330,type,
    sK3196: set_nat > set_nat > nat ).

thf(func_def_4331,type,
    sK3197: set_nat > set_nat > nat ).

thf(func_def_4332,type,
    sK3198: set_nat > nat > nat ).

thf(func_def_4333,type,
    sK3199: set_nat > nat > nat ).

thf(func_def_4334,type,
    sK3200: set_nat > nat > nat ).

thf(func_def_4335,type,
    sK3201: set_nat > nat > nat ).

thf(func_def_4336,type,
    sK3202: set_real > set_real > real ).

thf(func_def_4337,type,
    sK3203: set_real > set_real > real ).

thf(func_def_4338,type,
    sK3204: set_real > set_real > real ).

thf(func_def_4339,type,
    sK3205: set_real > set_real > real ).

thf(func_def_4340,type,
    sK3206: set_real > set_real > real ).

thf(func_def_4341,type,
    sK3207: set_real > set_real > real ).

thf(func_def_4342,type,
    sK3208: set_real > set_real > real ).

thf(func_def_4343,type,
    sK3209: set_real > set_real > real ).

thf(func_def_4344,type,
    sK3210: set_real > set_real > real ).

thf(func_def_4345,type,
    sK3211: set_real > set_real > real ).

thf(func_def_4346,type,
    sK3212: set_real > set_real > real ).

thf(func_def_4347,type,
    sK3213: set_real > set_real > real ).

thf(func_def_4348,type,
    sK3214: set_real > set_real > real ).

thf(func_def_4349,type,
    sK3215: set_real > set_real > real ).

thf(func_def_4350,type,
    sK3216: set_real > set_real > real ).

thf(func_def_4351,type,
    sK3217: set_real > set_real > real ).

thf(func_def_4352,type,
    sK3218: set_real > set_real > real ).

thf(func_def_4353,type,
    sK3219: set_real > set_real > real ).

thf(func_def_4354,type,
    sK3220: set_real > set_real > real ).

thf(func_def_4355,type,
    sK3221: set_real > set_real > real ).

thf(func_def_4356,type,
    sK3222: set_real > set_real > real ).

thf(func_def_4357,type,
    sK3223: set_real > set_real > real ).

thf(func_def_4358,type,
    sK3224: set_real > set_real > real ).

thf(func_def_4359,type,
    sK3225: set_real > set_real > real ).

thf(func_def_4360,type,
    sK3226: set_real > set_real > real ).

thf(func_def_4361,type,
    sK3227: set_real > set_real > real ).

thf(func_def_4362,type,
    sK3228: set_real > set_real > real ).

thf(func_def_4363,type,
    sK3229: set_real > set_real > real ).

thf(func_def_4364,type,
    sK3230: set_real > set_real > real ).

thf(func_def_4365,type,
    sK3231: set_real > set_real > real ).

thf(func_def_4366,type,
    sK3232: set_real > set_real > real ).

thf(func_def_4367,type,
    sK3233: set_real > set_real > real ).

thf(func_def_4368,type,
    sK3234: set_real > set_real > real ).

thf(func_def_4369,type,
    sK3235: set_real > set_real > real ).

thf(func_def_4370,type,
    sK3236: set_real > set_real > real ).

thf(func_def_4371,type,
    sK3237: set_real > set_real > real ).

thf(func_def_4372,type,
    sK3238: set_real > set_real > real ).

thf(func_def_4373,type,
    sK3239: set_real > set_real > real ).

thf(func_def_4374,type,
    sK3240: set_real > set_real > real ).

thf(func_def_4375,type,
    sK3241: set_real > set_real > real ).

thf(func_def_4376,type,
    sK3242: set_nat > set_nat > nat ).

thf(func_def_4377,type,
    sK3243: nat > set_nat > nat ).

thf(func_def_4378,type,
    sK3244: nat > set_nat > nat ).

thf(func_def_4379,type,
    sK3245: set_nat > set_nat > nat ).

thf(func_def_4380,type,
    sK3246: nat > set_nat > nat ).

thf(func_def_4381,type,
    sK3247: nat > set_nat > nat ).

thf(func_def_4382,type,
    sK3248: set_nat > set_nat > nat ).

thf(func_def_4383,type,
    sK3249: nat > set_nat > nat ).

thf(func_def_4384,type,
    sK3250: nat > set_nat > nat ).

thf(func_def_4385,type,
    sK3251: set_nat > set_nat > nat ).

thf(func_def_4386,type,
    sK3252: nat > set_nat > nat ).

thf(func_def_4387,type,
    sK3253: nat > set_nat > nat ).

thf(func_def_4388,type,
    sK3254: set_nat > set_nat > nat ).

thf(func_def_4389,type,
    sK3255: nat > set_nat > nat ).

thf(func_def_4390,type,
    sK3256: nat > set_nat > nat ).

thf(func_def_4391,type,
    sK3257: set_nat > set_nat > nat ).

thf(func_def_4392,type,
    sK3258: nat > set_nat > nat ).

thf(func_def_4393,type,
    sK3259: nat > set_nat > nat ).

thf(func_def_4394,type,
    sK3260: set_nat > set_nat > nat ).

thf(func_def_4395,type,
    sK3261: nat > set_nat > nat ).

thf(func_def_4396,type,
    sK3262: nat > set_nat > nat ).

thf(func_def_4397,type,
    sK3263: set_nat > set_nat > nat ).

thf(func_def_4398,type,
    sK3264: nat > set_nat > nat ).

thf(func_def_4399,type,
    sK3265: nat > set_nat > nat ).

thf(func_def_4400,type,
    sK3266: set_nat > set_nat > nat ).

thf(func_def_4401,type,
    sK3267: nat > set_nat > nat ).

thf(func_def_4402,type,
    sK3268: nat > set_nat > nat ).

thf(func_def_4403,type,
    sK3269: set_nat > set_nat > nat ).

thf(func_def_4404,type,
    sK3270: nat > set_nat > nat ).

thf(func_def_4405,type,
    sK3271: nat > set_nat > nat ).

thf(func_def_4406,type,
    sK3272: set_nat > set_nat > nat ).

thf(func_def_4407,type,
    sK3273: nat > set_nat > nat ).

thf(func_def_4408,type,
    sK3274: nat > set_nat > nat ).

thf(func_def_4409,type,
    sK3275: set_nat > set_nat > nat ).

thf(func_def_4410,type,
    sK3276: nat > set_nat > nat ).

thf(func_def_4411,type,
    sK3277: nat > set_nat > nat ).

thf(func_def_4412,type,
    sK3278: set_nat > set_nat > nat ).

thf(func_def_4413,type,
    sK3279: set_nat > nat > nat ).

thf(func_def_4414,type,
    sK3280: set_nat > nat > nat ).

thf(func_def_4415,type,
    sK3281: set_nat > set_nat > nat ).

thf(func_def_4416,type,
    sK3282: set_nat > nat > nat ).

thf(func_def_4417,type,
    sK3283: set_nat > nat > nat ).

thf(func_def_4418,type,
    sK3284: set_nat > set_nat > nat ).

thf(func_def_4419,type,
    sK3285: set_nat > nat > nat ).

thf(func_def_4420,type,
    sK3286: set_nat > nat > nat ).

thf(func_def_4421,type,
    sK3287: set_nat > set_nat > nat ).

thf(func_def_4422,type,
    sK3288: set_nat > nat > nat ).

thf(func_def_4423,type,
    sK3289: set_nat > nat > nat ).

thf(func_def_4424,type,
    sK3290: set_real > set_real > real ).

thf(func_def_4425,type,
    sK3291: set_real > set_real > real ).

thf(func_def_4426,type,
    sK3292: set_real > set_real > real ).

thf(func_def_4427,type,
    sK3293: set_real > set_real > real ).

thf(func_def_4428,type,
    sK3294: set_real > set_real > real ).

thf(func_def_4429,type,
    sK3295: set_real > set_real > real ).

thf(func_def_4430,type,
    sK3296: set_real > set_real > real ).

thf(func_def_4431,type,
    sK3297: set_real > set_real > real ).

thf(func_def_4432,type,
    sK3298: set_real > set_real > real ).

thf(func_def_4433,type,
    sK3299: set_real > set_real > real ).

thf(func_def_4434,type,
    sK3300: set_real > set_real > real ).

thf(func_def_4435,type,
    sK3301: set_real > set_real > real ).

thf(func_def_4436,type,
    sK3302: set_real > set_real > real ).

thf(func_def_4437,type,
    sK3303: set_real > set_real > real ).

thf(func_def_4438,type,
    sK3304: set_real > set_real > real ).

thf(func_def_4439,type,
    sK3305: set_real > set_real > real ).

thf(func_def_4440,type,
    sK3306: set_real > set_real > real ).

thf(func_def_4441,type,
    sK3307: set_real > set_real > real ).

thf(func_def_4442,type,
    sK3308: set_real > set_real > real ).

thf(func_def_4443,type,
    sK3309: set_real > set_real > real ).

thf(func_def_4444,type,
    sK3310: set_nat > set_nat > nat ).

thf(func_def_4445,type,
    sK3311: set_nat > nat > nat ).

thf(func_def_4446,type,
    sK3312: set_nat > nat > nat ).

thf(func_def_4447,type,
    sK3313: set_nat > set_nat > nat ).

thf(func_def_4448,type,
    sK3314: set_nat > nat > nat ).

thf(func_def_4449,type,
    sK3315: set_nat > nat > nat ).

thf(func_def_4450,type,
    sK3316: set_nat > set_nat > nat ).

thf(func_def_4451,type,
    sK3317: set_nat > nat > nat ).

thf(func_def_4452,type,
    sK3318: set_nat > nat > nat ).

thf(func_def_4453,type,
    sK3319: set_nat > set_nat > nat ).

thf(func_def_4454,type,
    sK3320: set_nat > nat > nat ).

thf(func_def_4455,type,
    sK3321: set_nat > nat > nat ).

thf(func_def_4456,type,
    sK3322: set_real > set_real > real ).

thf(func_def_4457,type,
    sK3323: set_real > set_real > real ).

thf(func_def_4458,type,
    sK3324: set_real > set_real > real ).

thf(func_def_4459,type,
    sK3325: set_real > set_real > real ).

thf(func_def_4460,type,
    sK3326: set_real > set_real > real ).

thf(func_def_4461,type,
    sK3327: set_real > set_real > real ).

thf(func_def_4462,type,
    sK3328: set_real > set_real > real ).

thf(func_def_4463,type,
    sK3329: set_real > set_real > real ).

thf(func_def_4464,type,
    sK3330: set_real > set_real > real ).

thf(func_def_4465,type,
    sK3331: set_real > set_real > real ).

thf(func_def_4466,type,
    sK3332: set_real > set_real > real ).

thf(func_def_4467,type,
    sK3333: set_real > set_real > real ).

thf(func_def_4468,type,
    sK3334: set_real > set_real > real ).

thf(func_def_4469,type,
    sK3335: set_real > set_real > real ).

thf(func_def_4470,type,
    sK3336: set_real > set_real > real ).

thf(func_def_4471,type,
    sK3337: set_real > set_real > real ).

thf(func_def_4472,type,
    sK3338: set_real > set_real > real ).

thf(func_def_4473,type,
    sK3339: set_real > set_real > real ).

thf(func_def_4474,type,
    sK3340: set_real > set_real > real ).

thf(func_def_4475,type,
    sK3341: set_real > set_real > real ).

thf(func_def_4476,type,
    sK3342: set_nat > nat > nat ).

thf(func_def_4477,type,
    sK3343: set_nat > nat > nat ).

thf(func_def_4478,type,
    sK3344: nat > set_nat > nat ).

thf(func_def_4479,type,
    sK3345: nat > set_nat > nat ).

thf(func_def_4480,type,
    sK3346: nat > set_nat > nat ).

thf(func_def_4481,type,
    sK3347: nat > set_nat > nat ).

thf(func_def_4482,type,
    sK3348: nat > set_nat > nat ).

thf(func_def_4483,type,
    sK3349: nat > set_nat > nat ).

thf(func_def_4484,type,
    sK3350: set_nat > nat > nat ).

thf(func_def_4485,type,
    sK3351: set_nat > nat > nat ).

thf(func_def_4486,type,
    sK3352: set_nat > nat > nat ).

thf(func_def_4487,type,
    sK3353: ( nat > nat ) > set_nat > nat ).

thf(func_def_4488,type,
    sK3354: set_nat > nat > nat ).

thf(func_def_4489,type,
    sK3355: set_nat > nat > nat ).

thf(func_def_4490,type,
    sK3356: set_nat > nat > nat ).

thf(func_def_4491,type,
    sK3357: ( nat > nat ) > set_nat > nat > nat ).

thf(func_def_4492,type,
    sK3358: nat > set_nat > nat ).

thf(func_def_4493,type,
    sK3359: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4494,type,
    sK3360: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_4495,type,
    sK3361: ( complex > nat ) > set_complex > complex ).

thf(func_def_4496,type,
    sK3362: ( complex > nat ) > set_complex > complex > complex ).

thf(func_def_4497,type,
    sK3363: ( int > nat ) > set_int > int ).

thf(func_def_4498,type,
    sK3364: ( int > nat ) > set_int > int > int ).

thf(func_def_4499,type,
    sK3365: ( nat > nat ) > set_nat > nat ).

thf(func_def_4500,type,
    sK3366: set_nat > nat > nat ).

thf(func_def_4501,type,
    sK3367: set_nat > nat > nat ).

thf(func_def_4502,type,
    sK3368: set_nat > nat > nat ).

thf(func_def_4503,type,
    sK3369: ( nat > nat ) > set_nat > nat > nat ).

thf(func_def_4504,type,
    sK3370: nat > set_nat > nat ).

thf(func_def_4505,type,
    sK3371: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4506,type,
    sK3372: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_4507,type,
    sK3373: ( complex > nat ) > set_complex > complex ).

thf(func_def_4508,type,
    sK3374: ( complex > nat ) > set_complex > complex > complex ).

thf(func_def_4509,type,
    sK3375: ( int > nat ) > set_int > int ).

thf(func_def_4510,type,
    sK3376: ( int > nat ) > set_int > int > int ).

thf(func_def_4511,type,
    sK3377: nat > set_nat > nat ).

thf(func_def_4512,type,
    sK3378: nat > set_nat > nat ).

thf(func_def_4513,type,
    sK3379: nat > set_nat > nat ).

thf(func_def_4514,type,
    sK3380: nat > set_nat > nat ).

thf(func_def_4515,type,
    sK3381: set_nat > nat > nat ).

thf(func_def_4516,type,
    sK3382: set_nat > nat > nat ).

thf(func_def_4517,type,
    sK3383: set_nat > nat > nat ).

thf(func_def_4518,type,
    sK3384: set_nat > nat > nat ).

thf(func_def_4519,type,
    sK3385: set_nat > nat > nat ).

thf(func_def_4520,type,
    sK3386: set_nat > nat > nat ).

thf(func_def_4521,type,
    sK3387: set_nat > nat > nat ).

thf(func_def_4522,type,
    sK3388: set_nat > nat > nat ).

thf(func_def_4523,type,
    sK3389: set_nat > nat > nat ).

thf(func_def_4524,type,
    sK3390: set_nat > nat > nat ).

thf(func_def_4525,type,
    sK3391: set_nat > nat > nat ).

thf(func_def_4526,type,
    sK3392: set_nat > nat > nat ).

thf(func_def_4527,type,
    sK3393: set_nat > nat > nat ).

thf(func_def_4528,type,
    sK3394: set_nat > nat > nat ).

thf(func_def_4529,type,
    sK3395: set_nat > nat > nat ).

thf(func_def_4530,type,
    sK3396: set_nat > nat > nat ).

thf(func_def_4531,type,
    sK3397: set_nat > nat > nat ).

thf(func_def_4532,type,
    sK3398: set_nat > nat > nat ).

thf(func_def_4533,type,
    sK3399: set_nat > nat > nat ).

thf(func_def_4534,type,
    sK3400: set_nat > nat > nat ).

thf(func_def_4535,type,
    sK3401: set_nat > nat > nat ).

thf(func_def_4536,type,
    sK3402: set_nat > nat > nat ).

thf(func_def_4537,type,
    sK3403: set_nat > nat > nat ).

thf(func_def_4538,type,
    sK3404: set_nat > nat > nat ).

thf(func_def_4539,type,
    sK3405: set_nat > nat > nat ).

thf(func_def_4540,type,
    sK3406: ( complex > nat ) > set_complex > complex ).

thf(func_def_4541,type,
    sK3407: ( complex > nat ) > set_complex > complex ).

thf(func_def_4542,type,
    sK3408: ( int > nat ) > set_int > int ).

thf(func_def_4543,type,
    sK3409: ( int > nat ) > set_int > int ).

thf(func_def_4544,type,
    sK3410: ( real > nat ) > set_real > real ).

thf(func_def_4545,type,
    sK3411: ( real > nat ) > set_real > real ).

thf(func_def_4546,type,
    sK3412: ( complex > rat ) > set_complex > complex ).

thf(func_def_4547,type,
    sK3413: ( complex > rat ) > set_complex > complex ).

thf(func_def_4548,type,
    sK3414: ( int > rat ) > set_int > int ).

thf(func_def_4549,type,
    sK3415: ( int > rat ) > set_int > int ).

thf(func_def_4550,type,
    sK3416: nat > set_nat > nat ).

thf(func_def_4551,type,
    sK3417: ( nat > rat ) > set_nat > nat ).

thf(func_def_4552,type,
    sK3418: set_nat > nat > nat ).

thf(func_def_4553,type,
    sK3419: set_nat > nat > nat ).

thf(func_def_4554,type,
    sK3420: nat > set_nat > nat ).

thf(func_def_4555,type,
    sK3421: nat > set_nat > nat ).

thf(func_def_4556,type,
    sK3422: ( nat > rat ) > set_nat > nat ).

thf(func_def_4557,type,
    sK3423: set_nat > nat > nat ).

thf(func_def_4558,type,
    sK3424: set_nat > nat > nat ).

thf(func_def_4559,type,
    sK3425: set_nat > nat > nat ).

thf(func_def_4560,type,
    sK3426: set_nat > nat > nat ).

thf(func_def_4561,type,
    sK3427: ( real > rat ) > set_real > real ).

thf(func_def_4562,type,
    sK3428: ( real > rat ) > set_real > real ).

thf(func_def_4563,type,
    sK3429: ( complex > real ) > set_complex > complex ).

thf(func_def_4564,type,
    sK3430: ( complex > real ) > set_complex > complex ).

thf(func_def_4565,type,
    sK3431: ( int > real ) > set_int > int ).

thf(func_def_4566,type,
    sK3432: ( int > real ) > set_int > int ).

thf(func_def_4567,type,
    sK3433: ( real > real ) > set_real > real ).

thf(func_def_4568,type,
    sK3434: ( real > real ) > set_real > real ).

thf(func_def_4569,type,
    sK3435: set_nat > nat > nat ).

thf(func_def_4570,type,
    sK3436: set_nat > nat > nat ).

thf(func_def_4571,type,
    sK3437: set_nat > nat > nat ).

thf(func_def_4572,type,
    sK3438: nat > set_nat > nat ).

thf(func_def_4573,type,
    sK3439: nat > set_nat > nat ).

thf(func_def_4574,type,
    sK3440: nat > set_nat > nat ).

thf(func_def_4575,type,
    sK3441: nat > set_nat > nat ).

thf(func_def_4576,type,
    sK3442: nat > set_nat > nat ).

thf(func_def_4577,type,
    sK3443: nat > set_nat > nat ).

thf(func_def_4578,type,
    sK3444: set_nat > nat > nat ).

thf(func_def_4579,type,
    sK3445: set_nat > nat > nat ).

thf(func_def_4580,type,
    sK3446: set_nat > nat > nat ).

thf(func_def_4581,type,
    sK3447: nat > set_nat > nat ).

thf(func_def_4582,type,
    sK3448: nat > set_nat > nat ).

thf(func_def_4583,type,
    sK3449: nat > set_nat > nat ).

thf(func_def_4584,type,
    sK3450: nat > set_nat > nat ).

thf(func_def_4585,type,
    sK3451: nat > set_nat > nat ).

thf(func_def_4586,type,
    sK3452: nat > set_nat > nat ).

thf(func_def_4587,type,
    sK3453: set_nat > nat > nat ).

thf(func_def_4588,type,
    sK3454: set_nat > nat > nat ).

thf(func_def_4589,type,
    sK3455: set_nat > nat > nat ).

thf(func_def_4590,type,
    sK3456: set_nat > nat > nat ).

thf(func_def_4591,type,
    sK3457: set_nat > nat > nat ).

thf(func_def_4592,type,
    sK3458: set_nat > nat > nat ).

thf(func_def_4593,type,
    sK3459: nat > set_nat > nat ).

thf(func_def_4594,type,
    sK3460: nat > set_nat > nat ).

thf(func_def_4595,type,
    sK3461: nat > set_nat > nat ).

thf(func_def_4596,type,
    sK3462: nat > set_nat > nat ).

thf(func_def_4597,type,
    sK3463: nat > set_nat > nat ).

thf(func_def_4598,type,
    sK3464: nat > set_nat > nat ).

thf(func_def_4599,type,
    sK3465: nat > set_nat > nat ).

thf(func_def_4600,type,
    sK3466: nat > set_nat > nat ).

thf(func_def_4601,type,
    sK3467: nat > set_nat > nat ).

thf(func_def_4602,type,
    sK3468: nat > set_nat > nat ).

thf(func_def_4603,type,
    sK3469: nat > set_nat > nat ).

thf(func_def_4604,type,
    sK3470: nat > set_nat > nat ).

thf(func_def_4605,type,
    sK3471: set_nat > nat > nat ).

thf(func_def_4606,type,
    sK3472: set_nat > nat > nat ).

thf(func_def_4607,type,
    sK3473: set_nat > nat > nat ).

thf(func_def_4608,type,
    sK3474: set_nat > nat > nat ).

thf(func_def_4609,type,
    sK3475: set_nat > nat > nat ).

thf(func_def_4610,type,
    sK3476: set_nat > nat > nat ).

thf(func_def_4611,type,
    sK3477: nat > set_nat > nat ).

thf(func_def_4612,type,
    sK3478: nat > set_nat > nat ).

thf(func_def_4613,type,
    sK3479: nat > set_nat > nat ).

thf(func_def_4614,type,
    sK3480: nat > set_nat > nat ).

thf(func_def_4615,type,
    sK3481: nat > set_nat > nat ).

thf(func_def_4616,type,
    sK3482: nat > set_nat > nat ).

thf(func_def_4617,type,
    sK3483: nat > set_nat > nat ).

thf(func_def_4618,type,
    sK3484: nat > set_nat > nat ).

thf(func_def_4619,type,
    sK3485: nat > set_nat > nat ).

thf(func_def_4620,type,
    sK3486: nat > set_nat > nat ).

thf(func_def_4621,type,
    sK3487: nat > set_nat > nat ).

thf(func_def_4622,type,
    sK3488: nat > set_nat > nat ).

thf(func_def_4623,type,
    sK3489: set_int > int ).

thf(func_def_4624,type,
    sK3490: int > set_int > int ).

thf(func_def_4625,type,
    sK3491: set_int > int ).

thf(func_def_4626,type,
    sK3492: set_int > int ).

thf(func_def_4627,type,
    sK3493: int > set_int > int ).

thf(func_def_4628,type,
    sK3494: set_int > int ).

thf(func_def_4629,type,
    sK3495: nat > set_nat > nat ).

thf(func_def_4630,type,
    sK3496: nat > set_nat > nat ).

thf(func_def_4631,type,
    sK3497: set_nat > nat > nat ).

thf(func_def_4632,type,
    sK3498: set_nat > nat > nat ).

thf(func_def_4633,type,
    sK3499: set_nat > nat > nat ).

thf(func_def_4634,type,
    sK3500: set_nat > nat > nat ).

thf(func_def_4635,type,
    sK3501: set_nat > nat > nat ).

thf(func_def_4636,type,
    sK3502: set_nat > nat > nat ).

thf(func_def_4637,type,
    sK3503: set_nat > nat > nat ).

thf(func_def_4638,type,
    sK3504: set_nat > nat > nat ).

thf(func_def_4639,type,
    sK3505: set_nat > nat > nat ).

thf(func_def_4640,type,
    sK3506: set_nat > nat > nat ).

thf(func_def_4641,type,
    sK3507: set_nat > nat > nat ).

thf(func_def_4642,type,
    sK3508: set_nat > nat > nat ).

thf(func_def_4643,type,
    sK3509: set_nat > nat > nat ).

thf(func_def_4644,type,
    sK3510: nat > set_nat > nat ).

thf(func_def_4645,type,
    sK3511: set_nat > nat ).

thf(func_def_4646,type,
    sK3512: nat > set_nat > nat ).

thf(func_def_4647,type,
    sK3513: set_nat > nat ).

thf(func_def_4648,type,
    sK3514: nat > set_nat > nat ).

thf(func_def_4649,type,
    sK3515: set_nat > nat ).

thf(func_def_4650,type,
    sK3516: set_nat > nat > nat ).

thf(func_def_4651,type,
    sK3517: set_nat > nat ).

thf(func_def_4652,type,
    sK3518: set_nat > nat > nat ).

thf(func_def_4653,type,
    sK3519: set_nat > nat ).

thf(func_def_4654,type,
    sK3520: set_nat > nat > nat ).

thf(func_def_4655,type,
    sK3521: set_nat > nat ).

thf(func_def_4656,type,
    sK3522: nat > set_nat > nat ).

thf(func_def_4657,type,
    sK3523: nat > set_nat > nat ).

thf(func_def_4658,type,
    sK3524: nat > set_nat > nat ).

thf(func_def_4659,type,
    sK3525: nat > set_nat > nat ).

thf(func_def_4660,type,
    sK3526: nat > set_nat > nat ).

thf(func_def_4661,type,
    sK3527: nat > set_nat > nat ).

thf(func_def_4662,type,
    sK3528: nat > set_nat > nat ).

thf(func_def_4663,type,
    sK3529: nat > set_nat > nat ).

thf(func_def_4664,type,
    sK3530: nat > set_nat > nat ).

thf(func_def_4665,type,
    sK3531: nat > set_nat > nat ).

thf(func_def_4666,type,
    sK3532: ( nat > nat ) > set_nat > nat ).

thf(func_def_4667,type,
    sK3533: set_nat > nat > nat ).

thf(func_def_4668,type,
    sK3534: set_nat > nat > nat ).

thf(func_def_4669,type,
    sK3535: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4670,type,
    sK3536: ( complex > nat ) > set_complex > complex ).

thf(func_def_4671,type,
    sK3537: ( int > nat ) > set_int > int ).

thf(func_def_4672,type,
    sK3538: set_nat > nat ).

thf(func_def_4673,type,
    sK3539: set_int > int ).

thf(func_def_4674,type,
    sK3540: set_int > int ).

thf(func_def_4675,type,
    sK3541: set_nat > nat ).

thf(func_def_4676,type,
    sK3542: set_int > int ).

thf(func_def_4677,type,
    sK3543: set_int > int ).

thf(func_def_4678,type,
    sK3544: set_nat > nat ).

thf(func_def_4679,type,
    sK3545: ( nat > rat ) > set_nat > ( nat > rat ) > nat ).

thf(func_def_4680,type,
    sK3546: nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_4681,type,
    sK3547: ( nat > rat ) > set_nat > nat > nat ).

thf(func_def_4682,type,
    sK3548: ( int > real ) > set_int > ( int > real ) > int ).

thf(func_def_4683,type,
    sK3549: ( nat > real ) > set_nat > ( nat > real ) > nat ).

thf(func_def_4684,type,
    sK3550: nat > set_nat > ( nat > real ) > nat ).

thf(func_def_4685,type,
    sK3551: ( nat > real ) > set_nat > nat > nat ).

thf(func_def_4686,type,
    sK3552: ( int > complex ) > set_int > ( int > complex ) > int ).

thf(func_def_4687,type,
    sK3553: ( nat > complex ) > set_nat > ( nat > complex ) > nat ).

thf(func_def_4688,type,
    sK3554: nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_4689,type,
    sK3555: ( nat > complex ) > set_nat > nat > nat ).

thf(func_def_4690,type,
    sK3556: ( nat > rat ) > set_nat > ( nat > rat ) > nat ).

thf(func_def_4691,type,
    sK3557: nat > set_nat > ( nat > rat ) > nat ).

thf(func_def_4692,type,
    sK3558: ( nat > rat ) > set_nat > nat > nat ).

thf(func_def_4693,type,
    sK3559: ( int > real ) > set_int > ( int > real ) > int ).

thf(func_def_4694,type,
    sK3560: ( nat > real ) > set_nat > ( nat > real ) > nat ).

thf(func_def_4695,type,
    sK3561: nat > set_nat > ( nat > real ) > nat ).

thf(func_def_4696,type,
    sK3562: ( nat > real ) > set_nat > nat > nat ).

thf(func_def_4697,type,
    sK3563: ( int > complex ) > set_int > ( int > complex ) > int ).

thf(func_def_4698,type,
    sK3564: ( nat > complex ) > set_nat > ( nat > complex ) > nat ).

thf(func_def_4699,type,
    sK3565: nat > set_nat > ( nat > complex ) > nat ).

thf(func_def_4700,type,
    sK3566: ( nat > complex ) > set_nat > nat > nat ).

thf(func_def_4701,type,
    sK3567: set_nat > nat > nat ).

thf(func_def_4702,type,
    sK3568: set_nat > nat > nat ).

thf(func_def_4703,type,
    sK3569: nat > nat ).

thf(func_def_4704,type,
    sK3570: int > int ).

thf(func_def_4705,type,
    sK3571: nat > ( nat > nat ) > nat ).

thf(func_def_4706,type,
    sK3572: nat > ( nat > $o ) > nat ).

thf(func_def_4707,type,
    sK3573: ( int > nat ) > ( int > $o ) > nat ).

thf(func_def_4708,type,
    sK3574: ( nat > $o ) > nat > nat ).

thf(func_def_4709,type,
    sK3575: ( nat > int ) > ( nat > $o ) > int ).

thf(func_def_4710,type,
    sK3576: ( nat > $o ) > nat > nat ).

thf(func_def_4711,type,
    sK3577: ( nat > nat ) > ( nat > $o ) > nat ).

thf(func_def_4712,type,
    sK3578: ( nat > $o ) > nat > nat ).

thf(func_def_4713,type,
    sK3579: ( nat > $o ) > nat > nat ).

thf(func_def_4714,type,
    sK3580: ( real > int ) > ( real > $o ) > int ).

thf(func_def_4715,type,
    sK3581: ( real > nat ) > ( real > $o ) > nat ).

thf(func_def_4716,type,
    sK3582: ( int > $o ) > ( real > $o ) > ( real > int > nat ) > nat ).

thf(func_def_4717,type,
    sK3583: nat > ( nat > $o ) > nat ).

thf(func_def_4718,type,
    sK3584: ( nat > $o ) > ( real > $o ) > ( real > nat > int ) > int ).

thf(func_def_4719,type,
    sK3585: nat > ( nat > $o ) > nat ).

thf(func_def_4720,type,
    sK3586: ( nat > $o ) > ( real > $o ) > ( real > nat > nat ) > nat ).

thf(func_def_4721,type,
    sK3587: nat > ( nat > $o ) > nat ).

thf(func_def_4722,type,
    sK3588: nat > ( nat > $o ) > nat ).

thf(func_def_4723,type,
    sK3589: ( real > $o ) > ( real > $o ) > ( real > real > int ) > int ).

thf(func_def_4724,type,
    sK3590: ( real > $o ) > ( real > $o ) > ( real > real > nat ) > nat ).

thf(func_def_4725,type,
    sK3591: nat > set_nat > nat ).

thf(func_def_4726,type,
    sK3592: set_nat > nat > nat ).

thf(func_def_4727,type,
    sK3593: nat > set_nat > nat ).

thf(func_def_4728,type,
    sK3594: set_nat > nat > nat ).

thf(func_def_4729,type,
    sK3595: set_int > int ).

thf(func_def_4730,type,
    sK3596: set_int > int ).

thf(func_def_4731,type,
    sK3597: set_int > int ).

thf(func_def_4732,type,
    sK3598: set_int > int ).

thf(func_def_4733,type,
    sK3599: set_int > int ).

thf(func_def_4734,type,
    sK3600: set_int > int ).

thf(func_def_4735,type,
    sK3601: set_int > int ).

thf(func_def_4736,type,
    sK3602: set_int > int ).

thf(func_def_4737,type,
    sK3603: set_int > int ).

thf(func_def_4738,type,
    sK3604: nat > set_nat > nat ).

thf(func_def_4739,type,
    sK3605: set_int > int ).

thf(func_def_4740,type,
    sK3606: set_nat > nat > nat ).

thf(func_def_4741,type,
    sK3607: set_int > int ).

thf(func_def_4742,type,
    sK3608: set_nat > nat > nat ).

thf(func_def_4743,type,
    sK3609: set_nat > nat > nat ).

thf(func_def_4744,type,
    sK3610: set_int > int ).

thf(func_def_4745,type,
    sK3611: nat > set_nat > nat ).

thf(func_def_4746,type,
    sK3612: nat > set_nat > nat ).

thf(func_def_4747,type,
    sK3613: set_nat > nat ).

thf(func_def_4748,type,
    sK3614: set_nat > nat ).

thf(func_def_4749,type,
    sK3615: set_nat > nat ).

thf(func_def_4750,type,
    sK3616: nat > set_complex > set_nat > ( nat > complex > $o ) > nat ).

thf(func_def_4751,type,
    sK3617: set_nat > nat ).

thf(func_def_4752,type,
    sK3618: set_complex > set_nat > ( nat > complex > $o ) > nat > nat ).

thf(func_def_4753,type,
    sK3619: set_nat > nat ).

thf(func_def_4754,type,
    sK3620: set_nat > nat ).

thf(func_def_4755,type,
    sK3621: set_nat > nat ).

thf(func_def_4756,type,
    sK3622: nat > set_int > set_nat > ( nat > int > $o ) > nat ).

thf(func_def_4757,type,
    sK3623: set_nat > nat ).

thf(func_def_4758,type,
    sK3624: set_int > set_nat > ( nat > int > $o ) > nat > nat ).

thf(func_def_4759,type,
    sK3625: set_nat > nat ).

thf(func_def_4760,type,
    sK3626: nat > set_nat > nat ).

thf(func_def_4761,type,
    sK3627: set_nat > nat ).

thf(func_def_4762,type,
    sK3628: set_nat > nat > nat ).

thf(func_def_4763,type,
    sK3629: set_nat > nat ).

thf(func_def_4764,type,
    sK3630: nat > set_nat > set_nat > ( nat > nat > $o ) > nat ).

thf(func_def_4765,type,
    sK3631: set_nat > nat > nat ).

thf(func_def_4766,type,
    sK3632: set_nat > nat ).

thf(func_def_4767,type,
    sK3633: set_nat > set_nat > ( nat > nat > $o ) > nat > nat ).

thf(func_def_4768,type,
    sK3634: nat > set_nat > nat ).

thf(func_def_4769,type,
    sK3635: nat > set_nat > nat ).

thf(func_def_4770,type,
    sK3636: set_nat > nat > nat ).

thf(func_def_4771,type,
    sK3637: nat > set_nat > nat ).

thf(func_def_4772,type,
    sK3638: set_nat > nat > nat ).

thf(func_def_4773,type,
    sK3639: ( int > $o ) > int ).

thf(func_def_4774,type,
    sK3640: ( nat > $o ) > nat ).

thf(func_def_4775,type,
    sK3641: set_nat > set_nat > nat ).

thf(func_def_4776,type,
    sK3642: set_set_nat > set_set_nat > set_nat ).

thf(func_def_4777,type,
    sK3643: set_real > set_real > real ).

thf(func_def_4778,type,
    sK3644: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4779,type,
    sK3645: ( nat > $o ) > set_nat > set_nat > nat ).

thf(func_def_4780,type,
    sK3646: ( set_nat > $o ) > set_set_nat > set_set_nat > set_nat ).

thf(func_def_4781,type,
    sK3647: ( real > $o ) > set_real > set_real > real ).

thf(func_def_4782,type,
    sK3648: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4783,type,
    sK3649: nat > nat > nat ).

thf(func_def_4784,type,
    sK3650: real > real > real ).

thf(func_def_4785,type,
    sK3651: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4786,type,
    sK3652: int > int > int ).

thf(func_def_4787,type,
    sK3653: int > int > int ).

thf(func_def_4788,type,
    sK3654: int > int > int ).

thf(func_def_4789,type,
    sK3655: int > int > int ).

thf(func_def_4790,type,
    sK3656: nat > nat ).

thf(func_def_4791,type,
    sK3657: nat > nat ).

thf(func_def_4792,type,
    sK3658: nat > set_nat > nat ).

thf(func_def_4793,type,
    sK3659: ( nat > int > $o ) > int > nat ).

thf(func_def_4794,type,
    sK3660: nat > ( nat > int > $o ) > ( int > $o ) > nat ).

thf(func_def_4795,type,
    sK3661: ( nat > int > $o ) > ( int > $o ) > int ).

thf(func_def_4796,type,
    sK3662: ( nat > int > $o ) > ( int > $o ) > nat ).

thf(func_def_4797,type,
    sK3663: nat > ( nat > int > $o ) > ( int > $o ) > nat ).

thf(func_def_4798,type,
    sK3664: nat > ( nat > int > $o ) > ( int > $o ) > nat ).

thf(func_def_4799,type,
    sK3665: ( real > int > $o ) > ( int > $o ) > int ).

thf(func_def_4800,type,
    sK3666: nat > ( nat > $o ) > nat ).

thf(func_def_4801,type,
    sK3667: ( complex > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4802,type,
    sK3668: ( nat > $o ) > nat > nat ).

thf(func_def_4803,type,
    sK3669: ( nat > $o ) > nat > nat ).

thf(func_def_4804,type,
    sK3670: ( int > nat > $o ) > nat > int ).

thf(func_def_4805,type,
    sK3671: ( nat > $o ) > nat > nat ).

thf(func_def_4806,type,
    sK3672: ( nat > $o ) > nat > nat ).

thf(func_def_4807,type,
    sK3673: ( int > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4808,type,
    sK3674: ( int > nat > $o ) > ( nat > $o ) > int ).

thf(func_def_4809,type,
    sK3675: ( nat > $o ) > nat > nat ).

thf(func_def_4810,type,
    sK3676: ( nat > $o ) > nat > nat ).

thf(func_def_4811,type,
    sK3677: ( nat > nat > $o ) > nat > nat ).

thf(func_def_4812,type,
    sK3678: nat > ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4813,type,
    sK3679: ( nat > $o ) > nat > nat ).

thf(func_def_4814,type,
    sK3680: ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4815,type,
    sK3681: ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4816,type,
    sK3682: ( nat > $o ) > nat > nat ).

thf(func_def_4817,type,
    sK3683: ( nat > $o ) > nat > nat ).

thf(func_def_4818,type,
    sK3684: nat > ( nat > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4819,type,
    sK3685: nat > ( nat > $o ) > nat ).

thf(func_def_4820,type,
    sK3686: ( real > nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4821,type,
    sK3687: ( nat > $o ) > nat > nat ).

thf(func_def_4822,type,
    sK3688: ( nat > $o ) > nat > nat ).

thf(func_def_4823,type,
    sK3689: ( complex > real > $o ) > ( real > $o ) > real ).

thf(func_def_4824,type,
    sK3690: ( int > real > $o ) > real > int ).

thf(func_def_4825,type,
    sK3691: ( int > real > $o ) > ( real > $o ) > real ).

thf(func_def_4826,type,
    sK3692: ( int > real > $o ) > ( real > $o ) > int ).

thf(func_def_4827,type,
    sK3693: ( nat > real > $o ) > real > nat ).

thf(func_def_4828,type,
    sK3694: nat > ( nat > real > $o ) > ( real > $o ) > nat ).

thf(func_def_4829,type,
    sK3695: ( nat > real > $o ) > ( real > $o ) > real ).

thf(func_def_4830,type,
    sK3696: ( nat > real > $o ) > ( real > $o ) > nat ).

thf(func_def_4831,type,
    sK3697: ( nat > real > $o ) > ( real > $o ) > nat > nat ).

thf(func_def_4832,type,
    sK3698: ( real > real > $o ) > ( real > $o ) > real ).

thf(func_def_4833,type,
    sK3699: ( int > $o ) > int ).

thf(func_def_4834,type,
    sK3700: ( int > $o ) > int ).

thf(func_def_4835,type,
    sK3701: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_4836,type,
    sK3702: ( nat > $o ) > nat ).

thf(func_def_4837,type,
    sK3703: ( nat > $o ) > ( nat > $o ) > nat > nat ).

thf(func_def_4838,type,
    sK3704: ( nat > $o ) > nat ).

thf(func_def_4839,type,
    sK3705: ( nat > $o ) > ( nat > $o ) > nat > nat ).

thf(func_def_4840,type,
    sK3706: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4841,type,
    sK3707: ( nat > $o ) > nat > nat ).

thf(func_def_4842,type,
    sK3708: nat > ( nat > $o ) > nat ).

thf(func_def_4843,type,
    sK3709: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_4844,type,
    sK3710: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_4845,type,
    sK3711: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4846,type,
    sK3712: ( nat > $o ) > nat > nat ).

thf(func_def_4847,type,
    sK3713: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4848,type,
    sK3714: ( nat > $o ) > nat > nat ).

thf(func_def_4849,type,
    sK3715: rat > ( int > $o ) > int ).

thf(func_def_4850,type,
    sK3716: real > ( int > $o ) > int ).

thf(func_def_4851,type,
    sK3717: int > int > int ).

thf(func_def_4852,type,
    sK3718: set_int > ( int > $o ) > int > int ).

thf(func_def_4853,type,
    sK3719: int > ( int > $o ) > int ).

thf(func_def_4854,type,
    sK3720: set_int > ( int > $o ) > int > int ).

thf(func_def_4855,type,
    sK3721: set_int > ( int > $o ) > int > int ).

thf(func_def_4856,type,
    sK3722: set_int > ( int > $o ) > int > int ).

thf(func_def_4857,type,
    sK3723: int > ( int > $o ) > int ).

thf(func_def_4858,type,
    sK3724: set_int > ( int > $o ) > int > int ).

thf(func_def_4859,type,
    sK3725: set_int > ( int > $o ) > int > int ).

thf(func_def_4860,type,
    sK3726: ( int > $o ) > int ).

thf(func_def_4861,type,
    sK3727: set_int > ( int > $o ) > int > int ).

thf(func_def_4862,type,
    sK3728: int > ( int > $o ) > int ).

thf(func_def_4863,type,
    sK3729: set_int > ( int > $o ) > int > int ).

thf(func_def_4864,type,
    sK3730: set_int > ( int > $o ) > int > int ).

thf(func_def_4865,type,
    sK3731: int > ( int > $o ) > int ).

thf(func_def_4866,type,
    sK3732: set_int > ( int > $o ) > int > int ).

thf(func_def_4867,type,
    sK3733: set_int > ( int > $o ) > int > int ).

thf(func_def_4868,type,
    sK3734: int > ( int > $o ) > int ).

thf(func_def_4869,type,
    sK3735: set_int > ( int > $o ) > int > int ).

thf(func_def_4870,type,
    sK3736: set_int > ( int > $o ) > int > int ).

thf(func_def_4871,type,
    sK3737: int > ( int > $o ) > int ).

thf(func_def_4872,type,
    sK3738: set_int > ( int > $o ) > int > int ).

thf(func_def_4873,type,
    sK3739: ( int > $o ) > int ).

thf(func_def_4874,type,
    sK3740: set_int > ( int > $o ) > int > int ).

thf(func_def_4875,type,
    sK3741: int > ( int > $o ) > int ).

thf(func_def_4876,type,
    sK3742: set_int > ( int > $o ) > int > int ).

thf(func_def_4877,type,
    sK3743: set_int > ( int > $o ) > int > int ).

thf(func_def_4878,type,
    sK3744: set_int > ( int > $o ) > int > int ).

thf(func_def_4879,type,
    sK3745: int > ( int > $o ) > int ).

thf(func_def_4880,type,
    sK3746: set_int > ( int > $o ) > int > int ).

thf(func_def_4881,type,
    sK3747: set_int > ( int > $o ) > int > int ).

thf(func_def_4882,type,
    sK3748: ( int > $o ) > int ).

thf(func_def_4883,type,
    sK3749: set_int > ( int > $o ) > int > int ).

thf(func_def_4884,type,
    sK3750: int > ( int > $o ) > int ).

thf(func_def_4885,type,
    sK3751: set_int > ( int > $o ) > int > int ).

thf(func_def_4886,type,
    sK3752: set_int > ( int > $o ) > int > int ).

thf(func_def_4887,type,
    sK3753: int > ( int > $o ) > int ).

thf(func_def_4888,type,
    sK3754: set_int > ( int > $o ) > int > int ).

thf(func_def_4889,type,
    sK3755: set_int > ( int > $o ) > int > int ).

thf(func_def_4890,type,
    sK3756: int > ( int > $o ) > int ).

thf(func_def_4891,type,
    sK3757: set_int > ( int > $o ) > int > int ).

thf(func_def_4892,type,
    sK3758: set_int > ( int > $o ) > int > int ).

thf(func_def_4893,type,
    sK3759: int > ( int > $o ) > int ).

thf(func_def_4894,type,
    sK3760: set_int > ( int > $o ) > int > int ).

thf(func_def_4895,type,
    sK3761: ( int > $o ) > int ).

thf(func_def_4896,type,
    sK3762: set_int > ( int > $o ) > int > int ).

thf(func_def_4897,type,
    sK3763: int > ( int > $o ) > int ).

thf(func_def_4898,type,
    sK3764: set_int > ( int > $o ) > int > int ).

thf(func_def_4899,type,
    sK3765: set_int > ( int > $o ) > int > int ).

thf(func_def_4900,type,
    sK3766: set_int > ( int > $o ) > int > int ).

thf(func_def_4901,type,
    sK3767: int > ( int > $o ) > int ).

thf(func_def_4902,type,
    sK3768: set_int > ( int > $o ) > int > int ).

thf(func_def_4903,type,
    sK3769: set_int > ( int > $o ) > int > int ).

thf(func_def_4904,type,
    sK3770: ( int > $o ) > int ).

thf(func_def_4905,type,
    sK3771: set_int > ( int > $o ) > int > int ).

thf(func_def_4906,type,
    sK3772: int > ( int > $o ) > int ).

thf(func_def_4907,type,
    sK3773: set_int > ( int > $o ) > int > int ).

thf(func_def_4908,type,
    sK3774: set_int > ( int > $o ) > int > int ).

thf(func_def_4909,type,
    sK3775: int > ( int > $o ) > int ).

thf(func_def_4910,type,
    sK3776: set_int > ( int > $o ) > int > int ).

thf(func_def_4911,type,
    sK3777: set_int > ( int > $o ) > int > int ).

thf(func_def_4912,type,
    sK3778: int > ( int > $o ) > int ).

thf(func_def_4913,type,
    sK3779: set_int > ( int > $o ) > int > int ).

thf(func_def_4914,type,
    sK3780: set_int > ( int > $o ) > int > int ).

thf(func_def_4915,type,
    sK3781: int > ( int > $o ) > int ).

thf(func_def_4916,type,
    sK3782: set_int > ( int > $o ) > int > int ).

thf(func_def_4917,type,
    sK3783: ( int > $o ) > int ).

thf(func_def_4918,type,
    sK3784: set_int > ( int > $o ) > int > int ).

thf(func_def_4919,type,
    sK3785: int > ( int > $o ) > int ).

thf(func_def_4920,type,
    sK3786: set_int > ( int > $o ) > int > int ).

thf(func_def_4921,type,
    sK3787: set_int > ( int > $o ) > int > int ).

thf(func_def_4922,type,
    sK3788: set_int > ( int > $o ) > int > int ).

thf(func_def_4923,type,
    sK3789: int > ( int > $o ) > int ).

thf(func_def_4924,type,
    sK3790: set_int > ( int > $o ) > int > int ).

thf(func_def_4925,type,
    sK3791: set_int > ( int > $o ) > int > int ).

thf(func_def_4926,type,
    sK3792: ( int > $o ) > int ).

thf(func_def_4927,type,
    sK3793: set_int > ( int > $o ) > int > int ).

thf(func_def_4928,type,
    sK3794: int > ( int > $o ) > int ).

thf(func_def_4929,type,
    sK3795: set_int > ( int > $o ) > int > int ).

thf(func_def_4930,type,
    sK3796: set_int > ( int > $o ) > int > int ).

thf(func_def_4931,type,
    sK3797: int > ( int > $o ) > int ).

thf(func_def_4932,type,
    sK3798: set_int > ( int > $o ) > int > int ).

thf(func_def_4933,type,
    sK3799: set_int > ( int > $o ) > int > int ).

thf(func_def_4934,type,
    sK3800: int > ( int > $o ) > int ).

thf(func_def_4935,type,
    sK3801: set_int > ( int > $o ) > int > int ).

thf(func_def_4936,type,
    sK3802: set_int > ( int > $o ) > int > int ).

thf(func_def_4937,type,
    sK3803: int > ( int > $o ) > int ).

thf(func_def_4938,type,
    sK3804: set_int > ( int > $o ) > int > int ).

thf(func_def_4939,type,
    sK3805: ( int > $o ) > int ).

thf(func_def_4940,type,
    sK3806: set_int > ( int > $o ) > int > int ).

thf(func_def_4941,type,
    sK3807: int > ( int > $o ) > int ).

thf(func_def_4942,type,
    sK3808: set_int > ( int > $o ) > int > int ).

thf(func_def_4943,type,
    sK3809: set_int > ( int > $o ) > int > int ).

thf(func_def_4944,type,
    sK3810: set_int > ( int > $o ) > int > int ).

thf(func_def_4945,type,
    sK3811: int > ( int > $o ) > int ).

thf(func_def_4946,type,
    sK3812: set_int > ( int > $o ) > int > int ).

thf(func_def_4947,type,
    sK3813: set_int > ( int > $o ) > int > int ).

thf(func_def_4948,type,
    sK3814: ( int > $o ) > int ).

thf(func_def_4949,type,
    sK3815: set_int > ( int > $o ) > int > int ).

thf(func_def_4950,type,
    sK3816: int > ( int > $o ) > int ).

thf(func_def_4951,type,
    sK3817: set_int > ( int > $o ) > int > int ).

thf(func_def_4952,type,
    sK3818: set_int > ( int > $o ) > int > int ).

thf(func_def_4953,type,
    sK3819: int > ( int > $o ) > int ).

thf(func_def_4954,type,
    sK3820: set_int > ( int > $o ) > int > int ).

thf(func_def_4955,type,
    sK3821: set_int > ( int > $o ) > int > int ).

thf(func_def_4956,type,
    sK3822: int > ( int > $o ) > int ).

thf(func_def_4957,type,
    sK3823: set_int > ( int > $o ) > int > int ).

thf(func_def_4958,type,
    sK3824: set_int > ( int > $o ) > int > int ).

thf(func_def_4959,type,
    sK3825: int > ( int > $o ) > int ).

thf(func_def_4960,type,
    sK3826: set_int > ( int > $o ) > int > int ).

thf(func_def_4961,type,
    sK3827: ( int > $o ) > int ).

thf(func_def_4962,type,
    sK3828: set_int > ( int > $o ) > int > int ).

thf(func_def_4963,type,
    sK3829: int > ( int > $o ) > int ).

thf(func_def_4964,type,
    sK3830: set_int > ( int > $o ) > int > int ).

thf(func_def_4965,type,
    sK3831: set_int > ( int > $o ) > int > int ).

thf(func_def_4966,type,
    sK3832: set_int > ( int > $o ) > int > int ).

thf(func_def_4967,type,
    sK3833: int > ( int > $o ) > int ).

thf(func_def_4968,type,
    sK3834: set_int > ( int > $o ) > int > int ).

thf(func_def_4969,type,
    sK3835: set_int > ( int > $o ) > int > int ).

thf(func_def_4970,type,
    sK3836: ( int > $o ) > int ).

thf(func_def_4971,type,
    sK3837: set_int > ( int > $o ) > int > int ).

thf(func_def_4972,type,
    sK3838: int > ( int > $o ) > int ).

thf(func_def_4973,type,
    sK3839: set_int > ( int > $o ) > int > int ).

thf(func_def_4974,type,
    sK3840: set_int > ( int > $o ) > int > int ).

thf(func_def_4975,type,
    sK3841: int > ( int > $o ) > int ).

thf(func_def_4976,type,
    sK3842: set_int > ( int > $o ) > int > int ).

thf(func_def_4977,type,
    sK3843: set_int > ( int > $o ) > int > int ).

thf(func_def_4978,type,
    sK3844: int > ( int > $o ) > int ).

thf(func_def_4979,type,
    sK3845: set_int > ( int > $o ) > int > int ).

thf(func_def_4980,type,
    sK3846: set_int > ( int > $o ) > int > int ).

thf(func_def_4981,type,
    sK3847: int > ( int > $o ) > int ).

thf(func_def_4982,type,
    sK3848: set_int > ( int > $o ) > int > int ).

thf(func_def_4983,type,
    sK3849: ( int > $o ) > int ).

thf(func_def_4984,type,
    sK3850: ( int > $o ) > int > int ).

thf(func_def_4985,type,
    sK3851: ( int > $o ) > int > int ).

thf(func_def_4986,type,
    sK3852: ( int > $o ) > int ).

thf(func_def_4987,type,
    sK3853: set_nat > set_nat > nat ).

thf(func_def_4988,type,
    sK3854: set_nat > set_nat > nat ).

thf(func_def_4989,type,
    sK3855: set_nat > set_nat > nat ).

thf(func_def_4990,type,
    sK3856: set_nat > set_nat > nat ).

thf(func_def_4991,type,
    sK3857: set_real > set_real > real ).

thf(func_def_4992,type,
    sK3858: set_real > set_real > real ).

thf(func_def_4993,type,
    sK3859: set_real > set_real > real ).

thf(func_def_4994,type,
    sK3860: set_real > set_real > real ).

thf(func_def_4995,type,
    sK3861: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4996,type,
    sK3862: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4997,type,
    sK3863: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4998,type,
    sK3864: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4999,type,
    sK3865: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5000,type,
    sK3866: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5001,type,
    sK3867: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5002,type,
    sK3868: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5003,type,
    sK3869: set_nat > nat > nat ).

thf(func_def_5004,type,
    sK3870: set_nat > nat > nat ).

thf(func_def_5005,type,
    sK3871: set_nat > nat > nat ).

thf(func_def_5006,type,
    sK3872: ( set_int > $o ) > set_int > int ).

thf(func_def_5007,type,
    sK3873: ( set_nat > $o ) > set_nat > nat ).

thf(func_def_5008,type,
    sK3874: set_nat > nat > nat ).

thf(func_def_5009,type,
    sK3875: set_nat > nat > nat ).

thf(func_def_5010,type,
    sK3876: nat > set_nat > nat ).

thf(func_def_5011,type,
    sK3877: set_nat > nat > nat ).

thf(func_def_5012,type,
    sK3878: set_nat > nat > nat ).

thf(func_def_5013,type,
    sK3879: set_int > ( set_int > $o ) > int ).

thf(func_def_5014,type,
    sK3880: set_nat > nat > nat ).

thf(func_def_5015,type,
    sK3881: set_nat > ( set_nat > $o ) > nat ).

thf(func_def_5016,type,
    sK3882: set_nat > nat ).

thf(func_def_5017,type,
    sK3883: nat > set_nat > nat ).

thf(func_def_5018,type,
    sK3884: nat > set_nat > set_nat > nat ).

thf(func_def_5019,type,
    sK3885: nat > set_nat > set_nat > nat ).

thf(func_def_5020,type,
    sK3886: nat > set_nat > set_nat > nat ).

thf(func_def_5021,type,
    sK3887: set_nat > set_nat > nat ).

thf(func_def_5022,type,
    sK3888: set_nat > set_nat > nat ).

thf(func_def_5023,type,
    sK3889: nat > set_nat > set_nat > nat ).

thf(func_def_5024,type,
    sK3890: real > set_real > set_real > real ).

thf(func_def_5025,type,
    sK3891: real > set_real > set_real > real ).

thf(func_def_5026,type,
    sK3892: real > set_real > set_real > real ).

thf(func_def_5027,type,
    sK3893: set_real > set_real > real ).

thf(func_def_5028,type,
    sK3894: set_real > set_real > real ).

thf(func_def_5029,type,
    sK3895: real > set_real > set_real > real ).

thf(func_def_5030,type,
    sK3896: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5031,type,
    sK3897: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5032,type,
    sK3898: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5033,type,
    sK3899: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5034,type,
    sK3900: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5035,type,
    sK3901: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5036,type,
    sK3902: set_nat > set_set_nat > set_set_nat > set_nat ).

thf(func_def_5037,type,
    sK3903: set_nat > set_set_nat > set_set_nat > set_nat ).

thf(func_def_5038,type,
    sK3904: set_nat > set_set_nat > set_set_nat > set_nat ).

thf(func_def_5039,type,
    sK3905: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5040,type,
    sK3906: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5041,type,
    sK3907: set_nat > set_set_nat > set_set_nat > set_nat ).

thf(func_def_5042,type,
    sK3908: nat > set_nat > set_nat > nat ).

thf(func_def_5043,type,
    sK3909: real > set_real > set_real > real ).

thf(func_def_5044,type,
    sK3910: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5045,type,
    sK3911: set_nat > nat ).

thf(func_def_5046,type,
    sK3912: nat > set_nat > nat > nat ).

thf(func_def_5047,type,
    sK3913: set_int > int ).

thf(func_def_5048,type,
    sK3914: set_nat > nat > nat ).

thf(func_def_5049,type,
    sK3915: set_nat > nat > nat ).

thf(func_def_5050,type,
    sK3916: nat > ( set_nat > $o ) > nat ).

thf(func_def_5051,type,
    sK3917: set_nat > nat > nat ).

thf(func_def_5052,type,
    sK3918: int > ( set_int > $o ) > int ).

thf(func_def_5053,type,
    sK3919: ( set_nat > $o ) > nat ).

thf(func_def_5054,type,
    sK3920: set_nat > nat > nat ).

thf(func_def_5055,type,
    sK3921: set_nat > nat > nat ).

thf(func_def_5056,type,
    sK3922: set_nat > nat > nat ).

thf(func_def_5057,type,
    sK3923: set_nat > nat > nat ).

thf(func_def_5058,type,
    sK3924: ( set_int > $o ) > int ).

thf(func_def_5059,type,
    sK3925: int > int > int > int > int ).

thf(func_def_5060,type,
    sK3926: int > int > int > int > int ).

thf(func_def_5061,type,
    sK3927: int > int > int > int > int ).

thf(func_def_5062,type,
    sK3928: int > int > int > int > int ).

thf(func_def_5063,type,
    sK3929: int > int > int > int > int ).

thf(func_def_5064,type,
    sK3930: int > int > int > int > int ).

thf(func_def_5065,type,
    sK3931: int > int > int > int > int ).

thf(func_def_5066,type,
    sK3932: int > int > int > int > int ).

thf(func_def_5067,type,
    sK3933: int > int > int > int > int ).

thf(func_def_5068,type,
    sK3934: int > int > int > int > int ).

thf(func_def_5069,type,
    sK3935: int > int > int > int > int ).

thf(func_def_5070,type,
    sK3936: int > int > int > int > int ).

thf(func_def_5071,type,
    sK3937: int > int > int > int > int ).

thf(func_def_5072,type,
    sK3938: int > int > int > int > int ).

thf(func_def_5073,type,
    sK3939: int > int > int > int > int ).

thf(func_def_5074,type,
    sK3940: int > int > int > int > int ).

thf(func_def_5075,type,
    sK3941: int > int > int > int > int ).

thf(func_def_5076,type,
    sK3942: int > int > int > int > int ).

thf(func_def_5077,type,
    sK3943: int > int > int > int > int ).

thf(func_def_5078,type,
    sK3944: int > int > int > int > int ).

thf(func_def_5079,type,
    sK3945: int > int > int > int > int ).

thf(func_def_5080,type,
    sK3946: int > int > int > int > int ).

thf(func_def_5081,type,
    sK3947: int > int > int > int > int ).

thf(func_def_5082,type,
    sK3948: int > int > int > int > int ).

thf(func_def_5083,type,
    sK3949: int > int > int > int > int ).

thf(func_def_5084,type,
    sK3950: int > int > int > int > int ).

thf(func_def_5085,type,
    sK3951: int > int > int > int > int ).

thf(func_def_5086,type,
    sK3952: int > int > int > int > int ).

thf(func_def_5087,type,
    sK3953: int > int > int > int > int ).

thf(func_def_5088,type,
    sK3954: int > int > int > int > int ).

thf(func_def_5089,type,
    sK3955: int > int > int > int > int ).

thf(func_def_5090,type,
    sK3956: set_nat > set_nat > set_nat > nat > nat ).

thf(func_def_5091,type,
    sK3957: set_nat > set_nat > set_nat > nat > nat ).

thf(func_def_5092,type,
    sK3958: set_nat > set_nat > set_nat > nat ).

thf(func_def_5093,type,
    sK3959: set_set_nat > set_set_nat > set_set_nat > set_nat > set_nat ).

thf(func_def_5094,type,
    sK3960: set_set_nat > set_set_nat > set_set_nat > set_nat > set_nat ).

thf(func_def_5095,type,
    sK3961: set_set_nat > set_set_nat > set_set_nat > set_nat ).

thf(func_def_5096,type,
    sK3962: set_real > set_real > set_real > real > real ).

thf(func_def_5097,type,
    sK3963: set_real > set_real > set_real > real > real ).

thf(func_def_5098,type,
    sK3964: set_real > set_real > set_real > real ).

thf(func_def_5099,type,
    sK3965: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_5100,type,
    sK3966: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_5101,type,
    sK3967: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5102,type,
    sK3968: set_nat > nat ).

thf(func_def_5103,type,
    sK3969: set_real > real ).

thf(func_def_5104,type,
    sK3970: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5105,type,
    sK3971: ( nat > $o ) > nat > nat ).

thf(func_def_5106,type,
    sK3972: ( nat > $o ) > nat > nat ).

thf(func_def_5107,type,
    sK3973: ( nat > $o ) > nat > nat ).

thf(func_def_5108,type,
    sK3974: ( nat > $o ) > nat > nat ).

thf(func_def_5109,type,
    sK3975: set_nat > set_nat > nat ).

thf(func_def_5110,type,
    sK3976: set_nat > set_nat > nat ).

thf(func_def_5111,type,
    sK3977: set_nat > set_nat > nat ).

thf(func_def_5112,type,
    sK3978: set_nat > set_nat > nat ).

thf(func_def_5113,type,
    sK3979: set_nat > nat ).

thf(func_def_5114,type,
    sK3980: set_nat > set_nat > nat > nat ).

thf(func_def_5115,type,
    sK3981: nat > set_nat > nat ).

thf(func_def_5116,type,
    sK3982: set_int > int ).

thf(func_def_5117,type,
    sK3983: nat > set_nat > nat ).

thf(func_def_5118,type,
    sK3984: real > set_real > real ).

thf(func_def_5119,type,
    sK3985: product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5120,type,
    sK3986: set_nat > set_set_nat > set_nat ).

thf(func_def_5121,type,
    sK3987: real > real > real > real > real ).

thf(func_def_5122,type,
    sK3988: real > real > real > real > real ).

thf(func_def_5123,type,
    sK3989: nat > nat > nat > nat > nat ).

thf(func_def_5124,type,
    sK3990: nat > nat > nat > nat > nat ).

thf(func_def_5125,type,
    sK3991: nat > nat > nat ).

thf(func_def_5126,type,
    sK3992: set_nat > set_nat > nat ).

thf(func_def_5127,type,
    sK3993: nat > nat > set_nat > set_nat > nat ).

thf(func_def_5128,type,
    sK3994: nat > set_nat > set_nat > nat ).

thf(func_def_5129,type,
    sK3995: set_nat > nat > set_nat > nat ).

thf(func_def_5130,type,
    sK3996: set_int > set_int > int ).

thf(func_def_5131,type,
    sK3997: int > set_int > set_int > int ).

thf(func_def_5132,type,
    sK3998: set_nat > set_nat > nat ).

thf(func_def_5133,type,
    sK3999: set_nat > set_nat > nat ).

thf(func_def_5134,type,
    sK4000: set_nat > set_nat > nat ).

thf(func_def_5135,type,
    sK4001: set_real > set_real > real ).

thf(func_def_5136,type,
    sK4002: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5137,type,
    sK4003: set_nat > set_nat > nat ).

thf(func_def_5138,type,
    sK4004: nat > set_nat > nat ).

thf(func_def_5139,type,
    sK4005: set_int > set_int > int ).

thf(func_def_5140,type,
    sK4006: set_nat > set_nat > nat ).

thf(func_def_5141,type,
    sK4007: set_nat > nat > nat ).

thf(func_def_5142,type,
    sK4008: nat > set_nat > nat ).

thf(func_def_5143,type,
    sK4009: set_nat > nat ).

thf(func_def_5144,type,
    sK4010: nat > set_nat > nat ).

thf(func_def_5145,type,
    sK4011: set_nat > nat > set_nat > nat ).

thf(func_def_5146,type,
    sK4012: set_int > set_int > int ).

thf(func_def_5147,type,
    sK4013: set_int > int ).

thf(func_def_5148,type,
    sK4014: set_nat > set_nat > nat ).

thf(func_def_5149,type,
    sK4015: set_real > set_real > real ).

thf(func_def_5150,type,
    sK4016: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5151,type,
    sK4017: int > int > int > int > int ).

thf(func_def_5152,type,
    sK4018: int > int > int > int > int ).

thf(func_def_5153,type,
    sK4019: int > int > int > int > int ).

thf(func_def_5154,type,
    sK4020: int > int > int > int > int ).

thf(func_def_5155,type,
    sK4021: int > int > int > int > int ).

thf(func_def_5156,type,
    sK4022: int > int > int > int > int ).

thf(func_def_5157,type,
    sK4023: int > int > int > int > int ).

thf(func_def_5158,type,
    sK4024: int > int > int > int > int ).

thf(func_def_5159,type,
    sK4025: int > int > int > int > int ).

thf(func_def_5160,type,
    sK4026: int > int > int > int > int ).

thf(func_def_5161,type,
    sK4027: int > int > int > int > int ).

thf(func_def_5162,type,
    sK4028: int > int > int > int > int ).

thf(func_def_5163,type,
    sK4029: int > int > int > int > int ).

thf(func_def_5164,type,
    sK4030: int > int > int > int > int ).

thf(func_def_5165,type,
    sK4031: int > int > int > int > int ).

thf(func_def_5166,type,
    sK4032: int > int > int > int > int ).

thf(func_def_5167,type,
    sK4033: int > int > int > int > int ).

thf(func_def_5168,type,
    sK4034: int > int > int > int > int ).

thf(func_def_5169,type,
    sK4035: int > int > int > int > int ).

thf(func_def_5170,type,
    sK4036: int > int > int > int > int ).

thf(func_def_5171,type,
    sK4037: int > int > int > int > int ).

thf(func_def_5172,type,
    sK4038: int > int > int > int > int ).

thf(func_def_5173,type,
    sK4039: int > int > int > int > int ).

thf(func_def_5174,type,
    sK4040: int > int > int > int > int ).

thf(func_def_5175,type,
    sK4041: int > int > int > int > int ).

thf(func_def_5176,type,
    sK4042: int > int > int > int > int ).

thf(func_def_5177,type,
    sK4043: int > int > int > int > int ).

thf(func_def_5178,type,
    sK4044: int > int > int > int > int ).

thf(func_def_5179,type,
    sK4045: int > int > int > int > int ).

thf(func_def_5180,type,
    sK4046: int > int > int > int > int ).

thf(func_def_5181,type,
    sK4047: int > int > int > int > int ).

thf(func_def_5182,type,
    sK4048: int > int > int > int > int ).

thf(func_def_5183,type,
    sK4049: int > int > int > int > int ).

thf(func_def_5184,type,
    sK4050: int > int > int > int > int ).

thf(func_def_5185,type,
    sK4051: int > int > int > int > int ).

thf(func_def_5186,type,
    sK4052: int > int > int > int > int ).

thf(func_def_5187,type,
    sK4053: int > int > int > int > int ).

thf(func_def_5188,type,
    sK4054: int > int > int > int > int ).

thf(func_def_5189,type,
    sK4055: int > int > int > int > int ).

thf(func_def_5190,type,
    sK4056: int > int > int > int > int ).

thf(func_def_5191,type,
    sK4057: int > int > int > int > int ).

thf(func_def_5192,type,
    sK4058: int > int > int > int > int ).

thf(func_def_5193,type,
    sK4059: int > int > int > int > int ).

thf(func_def_5194,type,
    sK4060: int > int > int > int > int ).

thf(func_def_5195,type,
    sK4061: int > int > int > int > int ).

thf(func_def_5196,type,
    sK4062: int > int > int > int > int ).

thf(func_def_5197,type,
    sK4063: int > int > int > int > int ).

thf(func_def_5198,type,
    sK4064: int > int > int > int > int ).

thf(func_def_5199,type,
    sK4065: int > int > int > int > int ).

thf(func_def_5200,type,
    sK4066: int > int > int > int > int ).

thf(func_def_5201,type,
    sK4067: int > int > int > int > int ).

thf(func_def_5202,type,
    sK4068: int > int > int > int > int ).

thf(func_def_5203,type,
    sK4069: int > int > int > int > int ).

thf(func_def_5204,type,
    sK4070: int > int > int > int > int ).

thf(func_def_5205,type,
    sK4071: int > int > int > int > int ).

thf(func_def_5206,type,
    sK4072: int > int > int > int > int ).

thf(func_def_5207,type,
    sK4073: int > int > int > int > int ).

thf(func_def_5208,type,
    sK4074: int > int > int > int > int ).

thf(func_def_5209,type,
    sK4075: int > int > int > int > int ).

thf(func_def_5210,type,
    sK4076: int > int > int > int > int ).

thf(func_def_5211,type,
    sK4077: int > int > int > int > int ).

thf(func_def_5212,type,
    sK4078: int > int > int > int > int ).

thf(func_def_5213,type,
    sK4079: int > int > int > int > int ).

thf(func_def_5214,type,
    sK4080: int > int > int > int > int ).

thf(func_def_5215,type,
    sK4081: int > int > int > int > int ).

thf(func_def_5216,type,
    sK4082: int > int > int > int > int ).

thf(func_def_5217,type,
    sK4083: int > int > int > int > int ).

thf(func_def_5218,type,
    sK4084: int > int > int > int > int ).

thf(func_def_5219,type,
    sK4085: int > int > int > int > int ).

thf(func_def_5220,type,
    sK4086: int > int > int > int > int ).

thf(func_def_5221,type,
    sK4087: int > int > int > int > int ).

thf(func_def_5222,type,
    sK4088: int > int > int > int > int ).

thf(func_def_5223,type,
    sK4089: int > int > int > int > int ).

thf(func_def_5224,type,
    sK4090: int > int > int > int > int ).

thf(func_def_5225,type,
    sK4091: int > int > int > int > int ).

thf(func_def_5226,type,
    sK4092: int > int > int > int > int ).

thf(func_def_5227,type,
    sK4093: int > int > int > int > int ).

thf(func_def_5228,type,
    sK4094: int > int > int > int > int ).

thf(func_def_5229,type,
    sK4095: int > int > int > int > int ).

thf(func_def_5230,type,
    sK4096: int > int > int > int > int ).

thf(func_def_5231,type,
    sK4097: int > int > int > int > int ).

thf(func_def_5232,type,
    sK4098: int > int > int > int > int ).

thf(func_def_5233,type,
    sK4099: int > int > int > int > int ).

thf(func_def_5234,type,
    sK4100: int > int > int > int > int ).

thf(func_def_5235,type,
    sK4101: int > int > int > int > int ).

thf(func_def_5236,type,
    sK4102: int > int > int > int > int ).

thf(func_def_5237,type,
    sK4103: int > int > int > int > int ).

thf(func_def_5238,type,
    sK4104: int > int > int > int > int ).

thf(func_def_5239,type,
    sK4105: int > int > int > int > int ).

thf(func_def_5240,type,
    sK4106: int > int > int > int > int ).

thf(func_def_5241,type,
    sK4107: int > int > int > int > int ).

thf(func_def_5242,type,
    sK4108: int > int > int > int > int ).

thf(func_def_5243,type,
    sK4109: int > int > int > int > int ).

thf(func_def_5244,type,
    sK4110: int > int > int > int > int ).

thf(func_def_5245,type,
    sK4111: int > int > int > int > int ).

thf(func_def_5246,type,
    sK4112: int > int > int > int > int ).

thf(func_def_5247,type,
    sK4113: int > int > int > int > int ).

thf(func_def_5248,type,
    sK4114: int > int > int > int > int ).

thf(func_def_5249,type,
    sK4115: int > int > int > int > int ).

thf(func_def_5250,type,
    sK4116: int > int > int > int > int ).

thf(func_def_5251,type,
    sK4117: int > int > int > int > int ).

thf(func_def_5252,type,
    sK4118: int > int > int > int > int ).

thf(func_def_5253,type,
    sK4119: int > int > int > int > int ).

thf(func_def_5254,type,
    sK4120: int > int > int > int > int ).

thf(func_def_5255,type,
    sK4121: int > int > int > int > int ).

thf(func_def_5256,type,
    sK4122: int > int > int > int > int ).

thf(func_def_5257,type,
    sK4123: int > int > int > int > int ).

thf(func_def_5258,type,
    sK4124: int > int > int > int > int ).

thf(func_def_5259,type,
    sK4125: int > int > int > int > int ).

thf(func_def_5260,type,
    sK4126: int > int > int > int > int ).

thf(func_def_5261,type,
    sK4127: int > int > int > int > int ).

thf(func_def_5262,type,
    sK4128: int > int > int > int > int ).

thf(func_def_5263,type,
    sK4129: int > int > int > int > int ).

thf(func_def_5264,type,
    sK4130: int > int > int > int > int ).

thf(func_def_5265,type,
    sK4131: int > int > int > int > int ).

thf(func_def_5266,type,
    sK4132: int > int > int > int > int ).

thf(func_def_5267,type,
    sK4133: int > int > int > int > int ).

thf(func_def_5268,type,
    sK4134: int > int > int > int > int ).

thf(func_def_5269,type,
    sK4135: int > int > int > int > int ).

thf(func_def_5270,type,
    sK4136: int > int > int > int > int ).

thf(func_def_5271,type,
    sK4137: int > int > int > int > int ).

thf(func_def_5272,type,
    sK4138: int > int > int > int > int ).

thf(func_def_5273,type,
    sK4139: int > int > int > int > int ).

thf(func_def_5274,type,
    sK4140: int > int > int > int > int ).

thf(func_def_5275,type,
    sK4141: int > int > int > int > int ).

thf(func_def_5276,type,
    sK4142: int > int > int > int > int ).

thf(func_def_5277,type,
    sK4143: int > int > int > int > int ).

thf(func_def_5278,type,
    sK4144: int > int > int > int > int ).

thf(func_def_5279,type,
    sK4145: int > int > int > int > int ).

thf(func_def_5280,type,
    sK4146: int > int > int > int > int ).

thf(func_def_5281,type,
    sK4147: int > int > int > int > int ).

thf(func_def_5282,type,
    sK4148: int > int > int > int > int ).

thf(func_def_5283,type,
    sK4149: int > int > int > int > int ).

thf(func_def_5284,type,
    sK4150: int > int > int > int > int ).

thf(func_def_5285,type,
    sK4151: int > int > int > int > int ).

thf(func_def_5286,type,
    sK4152: int > int > int > int > int ).

thf(func_def_5287,type,
    sK4153: int > int > int > int > int ).

thf(func_def_5288,type,
    sK4154: int > int > int > int > int ).

thf(func_def_5289,type,
    sK4155: int > int > int > int > int ).

thf(func_def_5290,type,
    sK4156: int > int > int > int > int ).

thf(func_def_5291,type,
    sK4157: int > int > int > int > int ).

thf(func_def_5292,type,
    sK4158: int > int > int > int > int ).

thf(func_def_5293,type,
    sK4159: int > int > int > int > int ).

thf(func_def_5294,type,
    sK4160: int > int > int > int > int ).

thf(func_def_5295,type,
    sK4161: int > int > int > int > int ).

thf(func_def_5296,type,
    sK4162: int > int > int > int > int ).

thf(func_def_5297,type,
    sK4163: int > int > int > int > int ).

thf(func_def_5298,type,
    sK4164: int > int > int > int > int ).

thf(func_def_5299,type,
    sK4165: int > int > int > int > int ).

thf(func_def_5300,type,
    sK4166: int > int > int > int > int ).

thf(func_def_5301,type,
    sK4167: int > int > int > int > int ).

thf(func_def_5302,type,
    sK4168: int > int > int > int > int ).

thf(func_def_5303,type,
    sK4169: int > int > int > int > int ).

thf(func_def_5304,type,
    sK4170: int > int > int > int > int ).

thf(func_def_5305,type,
    sK4171: int > int > int > int > int ).

thf(func_def_5306,type,
    sK4172: int > int > int > int > int ).

thf(func_def_5307,type,
    sK4173: int > int > int > int > int ).

thf(func_def_5308,type,
    sK4174: int > int > int > int > int ).

thf(func_def_5309,type,
    sK4175: int > int > int > int > int ).

thf(func_def_5310,type,
    sK4176: int > int > int > int > int ).

thf(func_def_5311,type,
    sK4177: int > int > int > int > int ).

thf(func_def_5312,type,
    sK4178: int > int > int > int > int ).

thf(func_def_5313,type,
    sK4179: int > int > int > int > int ).

thf(func_def_5314,type,
    sK4180: int > int > int > int > int ).

thf(func_def_5315,type,
    sK4181: int > int > int > int > int ).

thf(func_def_5316,type,
    sK4182: int > int > int > int > int ).

thf(func_def_5317,type,
    sK4183: int > int > int > int > int ).

thf(func_def_5318,type,
    sK4184: int > int > int > int > int ).

thf(func_def_5319,type,
    sK4185: int > int > int > int > int ).

thf(func_def_5320,type,
    sK4186: int > int > int > int > int ).

thf(func_def_5321,type,
    sK4187: int > int > int > int > int ).

thf(func_def_5322,type,
    sK4188: int > int > int > int > int ).

thf(func_def_5323,type,
    sK4189: int > int > int > int > int ).

thf(func_def_5324,type,
    sK4190: int > int > int > int > int ).

thf(func_def_5325,type,
    sK4191: int > int > int > int > int ).

thf(func_def_5326,type,
    sK4192: int > int > int > int > int ).

thf(func_def_5327,type,
    sK4193: int > int > int > int > int ).

thf(func_def_5328,type,
    sK4194: int > int > int > int > int ).

thf(func_def_5329,type,
    sK4195: int > int > int > int > int ).

thf(func_def_5330,type,
    sK4196: int > int > int > int > int ).

thf(func_def_5331,type,
    sK4197: int > int > int > int > int ).

thf(func_def_5332,type,
    sK4198: int > int > int > int > int ).

thf(func_def_5333,type,
    sK4199: int > int > int > int > int ).

thf(func_def_5334,type,
    sK4200: int > int > int > int > int ).

thf(func_def_5335,type,
    sK4201: int > int > int > int > int ).

thf(func_def_5336,type,
    sK4202: int > int > int > int > int ).

thf(func_def_5337,type,
    sK4203: int > int > int > int > int ).

thf(func_def_5338,type,
    sK4204: int > int > int > int > int ).

thf(func_def_5339,type,
    sK4205: int > int > int > int > int ).

thf(func_def_5340,type,
    sK4206: int > int > int > int > int ).

thf(func_def_5341,type,
    sK4207: int > int > int > int > int ).

thf(func_def_5342,type,
    sK4208: int > int > int > int > int ).

thf(func_def_5343,type,
    sK4209: int > int > int > int > int ).

thf(func_def_5344,type,
    sK4210: int > int > int > int > int ).

thf(func_def_5345,type,
    sK4211: int > int > int > int > int ).

thf(func_def_5346,type,
    sK4212: int > int > int > int > int ).

thf(func_def_5347,type,
    sK4213: int > int > int > int > int ).

thf(func_def_5348,type,
    sK4214: int > int > int > int > int ).

thf(func_def_5349,type,
    sK4215: int > int > int > int > int ).

thf(func_def_5350,type,
    sK4216: int > int > int > int > int ).

thf(func_def_5351,type,
    sK4217: int > int > int > int > int ).

thf(func_def_5352,type,
    sK4218: int > int > int > int > int ).

thf(func_def_5353,type,
    sK4219: int > int > int > int > int ).

thf(func_def_5354,type,
    sK4220: int > int > int > int > int ).

thf(func_def_5355,type,
    sK4221: int > int > int > int > int ).

thf(func_def_5356,type,
    sK4222: int > int > int > int > int ).

thf(func_def_5357,type,
    sK4223: int > int > int > int > int ).

thf(func_def_5358,type,
    sK4224: int > int > int > int > int ).

thf(func_def_5359,type,
    sK4225: int > int > int > int > int ).

thf(func_def_5360,type,
    sK4226: int > int > int > int > int ).

thf(func_def_5361,type,
    sK4227: int > int > int > int > int ).

thf(func_def_5362,type,
    sK4228: int > int > int > int > int ).

thf(func_def_5363,type,
    sK4229: int > int > int > int > int ).

thf(func_def_5364,type,
    sK4230: int > int > int > int > int ).

thf(func_def_5365,type,
    sK4231: int > int > int > int > int ).

thf(func_def_5366,type,
    sK4232: int > int > int > int > int ).

thf(func_def_5367,type,
    sK4233: int > int > int > int > int ).

thf(func_def_5368,type,
    sK4234: int > int > int > int > int ).

thf(func_def_5369,type,
    sK4235: int > int > int > int > int ).

thf(func_def_5370,type,
    sK4236: int > int > int > int > int ).

thf(func_def_5371,type,
    sK4237: int > int > int > int > int ).

thf(func_def_5372,type,
    sK4238: int > int > int > int > int ).

thf(func_def_5373,type,
    sK4239: int > int > int > int > int ).

thf(func_def_5374,type,
    sK4240: int > int > int > int > int ).

thf(func_def_5375,type,
    sK4241: int > int > int > int > int ).

thf(func_def_5376,type,
    sK4242: int > int > int > int > int ).

thf(func_def_5377,type,
    sK4243: int > int > int > int > int ).

thf(func_def_5378,type,
    sK4244: int > int > int > int > int ).

thf(func_def_5379,type,
    sK4245: int > int > int > int > int ).

thf(func_def_5380,type,
    sK4246: int > int > int > int > int ).

thf(func_def_5381,type,
    sK4247: int > int > int > int > int ).

thf(func_def_5382,type,
    sK4248: int > int > int > int > int ).

thf(func_def_5383,type,
    sK4249: int > int > int > int > int ).

thf(func_def_5384,type,
    sK4250: int > int > int > int > int ).

thf(func_def_5385,type,
    sK4251: int > int > int > int > int ).

thf(func_def_5386,type,
    sK4252: int > int > int > int > int ).

thf(func_def_5387,type,
    sK4253: int > int > int > int > int ).

thf(func_def_5388,type,
    sK4254: int > int > int > int > int ).

thf(func_def_5389,type,
    sK4255: int > int > int > int > int ).

thf(func_def_5390,type,
    sK4256: int > int > int > int > int ).

thf(func_def_5391,type,
    sK4257: int > int > int > int > int ).

thf(func_def_5392,type,
    sK4258: int > int > int > int > int ).

thf(func_def_5393,type,
    sK4259: int > int > int > int > int ).

thf(func_def_5394,type,
    sK4260: int > int > int > int > int ).

thf(func_def_5395,type,
    sK4261: int > int > int > int > int ).

thf(func_def_5396,type,
    sK4262: int > int > int > int > int ).

thf(func_def_5397,type,
    sK4263: int > int > int > int > int ).

thf(func_def_5398,type,
    sK4264: int > int > int > int > int ).

thf(func_def_5399,type,
    sK4265: int > int > int > int > int ).

thf(func_def_5400,type,
    sK4266: int > int > int > int > int ).

thf(func_def_5401,type,
    sK4267: int > int > int > int > int ).

thf(func_def_5402,type,
    sK4268: int > int > int > int > int ).

thf(func_def_5403,type,
    sK4269: int > int > int > int > int ).

thf(func_def_5404,type,
    sK4270: int > int > int > int > int ).

thf(func_def_5405,type,
    sK4271: int > int > int > int > int ).

thf(func_def_5406,type,
    sK4272: int > int > int > int > int ).

thf(func_def_5407,type,
    sK4273: int > int > int > int > int ).

thf(func_def_5408,type,
    sK4274: int > int > int > int > int ).

thf(func_def_5409,type,
    sK4275: int > int > int > int > int ).

thf(func_def_5410,type,
    sK4276: int > int > int > int > int ).

thf(func_def_5411,type,
    sK4277: int > int > int > int > int ).

thf(func_def_5412,type,
    sK4278: int > int > int > int > int ).

thf(func_def_5413,type,
    sK4279: int > int > int > int > int ).

thf(func_def_5414,type,
    sK4280: int > int > int > int > int ).

thf(func_def_5415,type,
    sK4281: int > int > int > int > int ).

thf(func_def_5416,type,
    sK4282: int > int > int > int > int ).

thf(func_def_5417,type,
    sK4283: int > int > int > int > int ).

thf(func_def_5418,type,
    sK4284: int > int > int > int > int ).

thf(func_def_5419,type,
    sK4285: int > int > int > int > int ).

thf(func_def_5420,type,
    sK4286: int > int > int > int > int ).

thf(func_def_5421,type,
    sK4287: int > int > int > int > int ).

thf(func_def_5422,type,
    sK4288: int > int > int > int > int ).

thf(func_def_5423,type,
    sK4289: int > int > int > int > int ).

thf(func_def_5424,type,
    sK4290: int > int > int > int > int ).

thf(func_def_5425,type,
    sK4291: int > int > int > int > int ).

thf(func_def_5426,type,
    sK4292: int > int > int > int > int ).

thf(func_def_5427,type,
    sK4293: int > int > int > int > int ).

thf(func_def_5428,type,
    sK4294: int > int > int > int > int ).

thf(func_def_5429,type,
    sK4295: int > int > int > int > int ).

thf(func_def_5430,type,
    sK4296: int > int > int > int > int ).

thf(func_def_5431,type,
    sK4297: int > int > int > int > int ).

thf(func_def_5432,type,
    sK4298: int > int > int > int > int ).

thf(func_def_5433,type,
    sK4299: int > int > int > int > int ).

thf(func_def_5434,type,
    sK4300: int > int > int > int > int ).

thf(func_def_5435,type,
    sK4301: int > int > int > int > int ).

thf(func_def_5436,type,
    sK4302: int > int > int > int > int ).

thf(func_def_5437,type,
    sK4303: int > int > int > int > int ).

thf(func_def_5438,type,
    sK4304: int > int > int > int > int ).

thf(func_def_5439,type,
    sK4305: int > int > int > int > int ).

thf(func_def_5440,type,
    sK4306: int > int > int > int > int ).

thf(func_def_5441,type,
    sK4307: int > int > int > int > int ).

thf(func_def_5442,type,
    sK4308: int > int > int > int > int ).

thf(func_def_5443,type,
    sK4309: int > int > int > int > int ).

thf(func_def_5444,type,
    sK4310: int > int > int > int > int ).

thf(func_def_5445,type,
    sK4311: int > int > int > int > int ).

thf(func_def_5446,type,
    sK4312: int > int > int > int > int ).

thf(func_def_5447,type,
    sK4313: int > int > int > int > int ).

thf(func_def_5448,type,
    sK4314: int > int > int > int > int ).

thf(func_def_5449,type,
    sK4315: int > int > int > int > int ).

thf(func_def_5450,type,
    sK4316: int > int > int > int > int ).

thf(func_def_5451,type,
    sK4317: int > int > int > int > int ).

thf(func_def_5452,type,
    sK4318: int > int > int > int > int ).

thf(func_def_5453,type,
    sK4319: int > int > int > int > int ).

thf(func_def_5454,type,
    sK4320: int > int > int > int > int ).

thf(func_def_5455,type,
    sK4321: int > int > int > int > int ).

thf(func_def_5456,type,
    sK4322: int > int > int > int > int ).

thf(func_def_5457,type,
    sK4323: int > int > int > int > int ).

thf(func_def_5458,type,
    sK4324: int > int > int > int > int ).

thf(func_def_5459,type,
    sK4325: int > int > int > int > int ).

thf(func_def_5460,type,
    sK4326: int > int > int > int > int ).

thf(func_def_5461,type,
    sK4327: int > int > int > int > int ).

thf(func_def_5462,type,
    sK4328: int > int > int > int > int ).

thf(func_def_5463,type,
    sK4329: int > int > int > int > int ).

thf(func_def_5464,type,
    sK4330: int > int > int > int > int ).

thf(func_def_5465,type,
    sK4331: int > int > int > int > int ).

thf(func_def_5466,type,
    sK4332: int > int > int > int > int ).

thf(func_def_5467,type,
    sK4333: int > int > int > int > int ).

thf(func_def_5468,type,
    sK4334: int > int > int > int > int ).

thf(func_def_5469,type,
    sK4335: int > int > int > int > int ).

thf(func_def_5470,type,
    sK4336: int > int > int > int > int ).

thf(func_def_5471,type,
    sK4337: int > int > int > int > int ).

thf(func_def_5472,type,
    sK4338: int > int > int > int > int ).

thf(func_def_5473,type,
    sK4339: int > int > int > int > int ).

thf(func_def_5474,type,
    sK4340: ( int > int > $o ) > int > int > int ).

thf(func_def_5475,type,
    sK4341: ( int > int > $o ) > int > int > int ).

thf(func_def_5476,type,
    sK4342: ( int > int > $o ) > int > int > int ).

thf(func_def_5477,type,
    sK4343: ( int > int > $o ) > int > int > int ).

thf(func_def_5478,type,
    sK4344: int > int > ( int > $o ) > int ).

thf(func_def_5479,type,
    sK4345: int > ( int > $o ) > int > int ).

thf(func_def_5480,type,
    sK4346: int > ( int > $o ) > int > int ).

thf(func_def_5481,type,
    sK4347: int > ( int > $o ) > int > int ).

thf(func_def_5482,type,
    sK4348: int > ( int > $o ) > int > int ).

thf(func_def_5483,type,
    sK4349: int > int > ( int > $o ) > int ).

thf(func_def_5484,type,
    sK4350: int > int > ( int > $o ) > int ).

thf(func_def_5485,type,
    sK4351: int > int > ( int > $o ) > int ).

thf(func_def_5486,type,
    sK4352: int > int > ( int > $o ) > int ).

thf(func_def_5487,type,
    sK4353: int > int > ( int > $o ) > int ).

thf(func_def_5488,type,
    sK4354: int > ( int > $o ) > int > int ).

thf(func_def_5489,type,
    sK4355: int > int > ( int > $o ) > int ).

thf(func_def_5490,type,
    sK4356: int > ( int > $o ) > int > int ).

thf(func_def_5491,type,
    sK4357: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5492,type,
    sK4358: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5493,type,
    sK4359: int > int > int ).

thf(func_def_5494,type,
    sK4360: int > int > int ).

thf(func_def_5495,type,
    sK4361: int > int > int ).

thf(func_def_5496,type,
    sK4362: int > int > int ).

thf(func_def_5497,type,
    sK4363: int > int > int ).

thf(func_def_5498,type,
    sK4364: int > int > int ).

thf(func_def_5499,type,
    sK4365: int > int > int ).

thf(func_def_5500,type,
    sK4366: int > int > int ).

thf(func_def_5501,type,
    sK4367: int > int > int ).

thf(func_def_5502,type,
    sK4368: int > int > int ).

thf(func_def_5503,type,
    sK4369: int > int > int ).

thf(func_def_5504,type,
    sK4370: int > int > int ).

thf(func_def_5505,type,
    sK4371: int > int > int ).

thf(func_def_5506,type,
    sK4372: int > int > int ).

thf(func_def_5507,type,
    sK4373: set_int > ( set_int > $o ) > int ).

thf(func_def_5508,type,
    sK4374: set_nat > ( set_nat > $o ) > nat ).

thf(func_def_5509,type,
    sK4375: set_nat > set_nat > nat ).

thf(func_def_5510,type,
    sK4376: nat > set_nat > nat ).

thf(func_def_5511,type,
    sK4377: nat > set_nat > nat ).

thf(func_def_5512,type,
    sK4378: set_nat > set_nat > nat ).

thf(func_def_5513,type,
    sK4379: nat > set_nat > nat ).

thf(func_def_5514,type,
    sK4380: nat > set_nat > nat ).

thf(func_def_5515,type,
    sK4381: set_nat > set_nat > nat ).

thf(func_def_5516,type,
    sK4382: set_nat > nat > nat ).

thf(func_def_5517,type,
    sK4383: set_nat > nat > nat ).

thf(func_def_5518,type,
    sK4384: set_nat > set_nat > nat ).

thf(func_def_5519,type,
    sK4385: nat > set_nat > nat ).

thf(func_def_5520,type,
    sK4386: nat > set_nat > nat ).

thf(func_def_5521,type,
    sK4387: set_nat > set_nat > nat ).

thf(func_def_5522,type,
    sK4388: nat > set_nat > nat ).

thf(func_def_5523,type,
    sK4389: nat > set_nat > nat ).

thf(func_def_5524,type,
    sK4390: set_nat > set_nat > nat ).

thf(func_def_5525,type,
    sK4391: nat > set_nat > nat ).

thf(func_def_5526,type,
    sK4392: nat > set_nat > nat ).

thf(func_def_5527,type,
    sK4393: set_real > set_real > real ).

thf(func_def_5528,type,
    sK4394: set_real > set_real > real ).

thf(func_def_5529,type,
    sK4395: set_real > set_real > real ).

thf(func_def_5530,type,
    sK4396: set_real > set_real > real ).

thf(func_def_5531,type,
    sK4397: set_real > set_real > real ).

thf(func_def_5532,type,
    sK4398: set_real > set_real > real ).

thf(func_def_5533,type,
    sK4399: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5534,type,
    sK4400: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5535,type,
    sK4401: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5536,type,
    sK4402: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5537,type,
    sK4403: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5538,type,
    sK4404: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5539,type,
    sK4405: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5540,type,
    sK4406: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5541,type,
    sK4407: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5542,type,
    sK4408: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5543,type,
    sK4409: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5544,type,
    sK4410: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5545,type,
    sK4411: set_int > ( set_int > $o ) > int ).

thf(func_def_5546,type,
    sK4412: set_nat > ( set_nat > $o ) > nat ).

thf(func_def_5547,type,
    sK4413: set_nat > set_nat > nat ).

thf(func_def_5548,type,
    sK4414: nat > set_nat > nat ).

thf(func_def_5549,type,
    sK4415: nat > set_nat > nat ).

thf(func_def_5550,type,
    sK4416: set_nat > set_nat > nat ).

thf(func_def_5551,type,
    sK4417: nat > set_nat > nat ).

thf(func_def_5552,type,
    sK4418: nat > set_nat > nat ).

thf(func_def_5553,type,
    sK4419: set_nat > set_nat > nat ).

thf(func_def_5554,type,
    sK4420: nat > set_nat > nat ).

thf(func_def_5555,type,
    sK4421: nat > set_nat > nat ).

thf(func_def_5556,type,
    sK4422: set_nat > set_nat > nat ).

thf(func_def_5557,type,
    sK4423: nat > set_nat > nat ).

thf(func_def_5558,type,
    sK4424: nat > set_nat > nat ).

thf(func_def_5559,type,
    sK4425: set_nat > set_nat > nat ).

thf(func_def_5560,type,
    sK4426: nat > set_nat > nat ).

thf(func_def_5561,type,
    sK4427: nat > set_nat > nat ).

thf(func_def_5562,type,
    sK4428: set_real > set_real > real ).

thf(func_def_5563,type,
    sK4429: set_real > set_real > real ).

thf(func_def_5564,type,
    sK4430: set_real > set_real > real ).

thf(func_def_5565,type,
    sK4431: set_real > set_real > real ).

thf(func_def_5566,type,
    sK4432: set_real > set_real > real ).

thf(func_def_5567,type,
    sK4433: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5568,type,
    sK4434: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5569,type,
    sK4435: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5570,type,
    sK4436: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5571,type,
    sK4437: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5572,type,
    sK4438: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5573,type,
    sK4439: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5574,type,
    sK4440: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5575,type,
    sK4441: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5576,type,
    sK4442: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5577,type,
    sK4443: ( set_int > $o ) > int ).

thf(func_def_5578,type,
    sK4444: ( set_nat > $o ) > nat ).

thf(func_def_5579,type,
    sK4445: nat > set_nat > nat ).

thf(func_def_5580,type,
    sK4446: nat > set_nat > nat ).

thf(func_def_5581,type,
    sK4447: nat > set_nat > nat ).

thf(func_def_5582,type,
    sK4448: nat > set_nat > nat ).

thf(func_def_5583,type,
    sK4449: ( set_int > $o ) > int ).

thf(func_def_5584,type,
    sK4450: ( set_nat > $o ) > nat ).

thf(func_def_5585,type,
    sK4451: nat > set_nat > nat ).

thf(func_def_5586,type,
    sK4452: nat > set_nat > nat ).

thf(func_def_5587,type,
    sK4453: nat > set_nat > nat ).

thf(func_def_5588,type,
    sK4454: nat > set_nat > nat ).

thf(func_def_5589,type,
    sK4455: ( set_int > $o ) > ( int > num ) > int ).

thf(func_def_5590,type,
    sK4456: ( set_nat > $o ) > ( nat > num ) > nat ).

thf(func_def_5591,type,
    sK4457: nat > set_nat > nat ).

thf(func_def_5592,type,
    sK4458: nat > set_nat > nat ).

thf(func_def_5593,type,
    sK4459: nat > set_nat > nat ).

thf(func_def_5594,type,
    sK4460: nat > set_nat > nat ).

thf(func_def_5595,type,
    sK4461: ( set_int > $o ) > ( int > rat ) > int ).

thf(func_def_5596,type,
    sK4462: ( set_nat > $o ) > ( nat > rat ) > nat ).

thf(func_def_5597,type,
    sK4463: nat > set_nat > nat ).

thf(func_def_5598,type,
    sK4464: nat > set_nat > nat ).

thf(func_def_5599,type,
    sK4465: nat > set_nat > nat ).

thf(func_def_5600,type,
    sK4466: nat > set_nat > nat ).

thf(func_def_5601,type,
    sK4467: nat > set_nat > nat ).

thf(func_def_5602,type,
    sK4468: real > set_real > real ).

thf(func_def_5603,type,
    sK4469: product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5604,type,
    sK4470: nat > set_nat > nat ).

thf(func_def_5605,type,
    sK4471: real > set_real > real ).

thf(func_def_5606,type,
    sK4472: product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5607,type,
    sK4473: ( set_int > $o ) > int ).

thf(func_def_5608,type,
    sK4474: ( set_int > $o ) > int ).

thf(func_def_5609,type,
    sK4475: ( set_nat > $o ) > nat ).

thf(func_def_5610,type,
    sK4476: nat > ( set_nat > $o ) > nat ).

thf(func_def_5611,type,
    sK4477: ( set_nat > $o ) > nat ).

thf(func_def_5612,type,
    sK4478: nat > ( set_nat > $o ) > nat ).

thf(func_def_5613,type,
    sK4479: nat > ( set_nat > $o ) > nat ).

thf(func_def_5614,type,
    sK4480: nat > ( set_nat > $o ) > nat ).

thf(func_def_5615,type,
    sK4481: ( set_int > $o ) > int ).

thf(func_def_5616,type,
    sK4482: ( set_nat > $o ) > nat ).

thf(func_def_5617,type,
    sK4483: nat > set_nat > nat ).

thf(func_def_5618,type,
    sK4484: nat > set_nat > nat ).

thf(func_def_5619,type,
    sK4485: nat > set_nat > nat ).

thf(func_def_5620,type,
    sK4486: nat > set_nat > nat ).

thf(func_def_5621,type,
    sK4487: nat > set_nat > nat ).

thf(func_def_5622,type,
    sK4488: ( set_int > $o ) > int ).

thf(func_def_5623,type,
    sK4489: ( set_nat > $o ) > nat ).

thf(func_def_5624,type,
    sK4490: nat > set_nat > nat ).

thf(func_def_5625,type,
    sK4491: nat > set_nat > nat ).

thf(func_def_5626,type,
    sK4492: nat > set_nat > nat ).

thf(func_def_5627,type,
    sK4493: nat > set_nat > nat ).

thf(func_def_5628,type,
    sK4494: set_int > int ).

thf(func_def_5629,type,
    sK4495: nat > set_nat > nat ).

thf(func_def_5630,type,
    sK4496: set_nat > nat ).

thf(func_def_5631,type,
    sK4497: nat > set_nat > nat ).

thf(func_def_5632,type,
    sK4498: int > int ).

thf(func_def_5633,type,
    sK4499: int > int ).

thf(func_def_5634,type,
    sK4500: int > int ).

thf(func_def_5635,type,
    sK4501: int > int ).

thf(func_def_5636,type,
    sK4502: int > int ).

thf(func_def_5637,type,
    sK4503: int > int ).

thf(func_def_5638,type,
    sK4504: int > int ).

thf(func_def_5639,type,
    sK4505: int > int ).

thf(func_def_5640,type,
    sK4506: int > int ).

thf(func_def_5641,type,
    sK4507: int > int ).

thf(func_def_5642,type,
    sK4508: int > int ).

thf(func_def_5643,type,
    sK4509: set_real > set_real > real ).

thf(func_def_5644,type,
    sK4510: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5645,type,
    sK4511: set_nat > set_nat > nat ).

thf(func_def_5646,type,
    sK4512: set_nat > set_nat > nat ).

thf(func_def_5647,type,
    sK4513: set_nat > nat > set_nat > nat ).

thf(func_def_5648,type,
    sK4514: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5649,type,
    sK4515: set_set_nat > set_nat > set_set_nat > set_nat ).

thf(func_def_5650,type,
    sK4516: set_real > set_real > real ).

thf(func_def_5651,type,
    sK4517: set_real > real > set_real > real ).

thf(func_def_5652,type,
    sK4518: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5653,type,
    sK4519: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5654,type,
    sK4520: set_real > set_real > real ).

thf(func_def_5655,type,
    sK4521: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5656,type,
    sK4522: set_nat > set_nat > nat ).

thf(func_def_5657,type,
    sK4523: set_nat > set_nat > nat ).

thf(func_def_5658,type,
    sK4524: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5659,type,
    sK4525: set_real > set_real > real ).

thf(func_def_5660,type,
    sK4526: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5661,type,
    sK4527: int > set_int > int ).

thf(func_def_5662,type,
    sK4528: nat > set_nat > nat ).

thf(func_def_5663,type,
    sK4529: nat > set_nat > nat ).

thf(func_def_5664,type,
    sK4530: set_int > int > set_int > int > set_int ).

thf(func_def_5665,type,
    sK4531: set_nat > nat > set_nat > nat > set_nat ).

thf(func_def_5666,type,
    sK4532: set_set_nat > set_nat > set_set_nat > set_nat > set_set_nat ).

thf(func_def_5667,type,
    sK4533: set_real > real > set_real > real > set_real ).

thf(func_def_5668,type,
    sK4534: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_5669,type,
    sK4535: set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat > produc3843707927480180839at_nat > set_Pr4329608150637261639at_nat ).

thf(func_def_5670,type,
    sK4536: int > int > int ).

thf(func_def_5671,type,
    sK4537: int > int > int ).

thf(func_def_5672,type,
    sK4538: int > int > int ).

thf(func_def_5673,type,
    sK4539: int > int > int ).

thf(func_def_5674,type,
    sK4540: int > int > int ).

thf(func_def_5675,type,
    sK4541: int > int > int ).

thf(func_def_5676,type,
    sK4542: int > int > int ).

thf(func_def_5677,type,
    sK4543: int > int > int ).

thf(func_def_5678,type,
    sK4544: int > int > int ).

thf(func_def_5679,type,
    sK4545: int > int > int ).

thf(func_def_5680,type,
    sK4546: int > int > int ).

thf(func_def_5681,type,
    sK4547: int > int > int ).

thf(func_def_5682,type,
    sK4548: int > int > int ).

thf(func_def_5683,type,
    sK4549: int > int > int ).

thf(func_def_5684,type,
    sK4550: set_nat > nat > nat ).

thf(func_def_5685,type,
    sK4551: set_real > real > real ).

thf(func_def_5686,type,
    sK4552: set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_5687,type,
    sK4553: set_nat > nat > nat ).

thf(func_def_5688,type,
    sK4554: set_real > real > real ).

thf(func_def_5689,type,
    sK4555: set_Pr1261947904930325089at_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_5690,type,
    sK4556: set_nat > nat > set_nat > nat ).

thf(func_def_5691,type,
    sK4557: set_nat > nat > set_nat > nat ).

thf(func_def_5692,type,
    sK4558: set_nat > set_nat > nat ).

thf(func_def_5693,type,
    sK4559: set_set_nat > set_nat > set_set_nat > set_nat ).

thf(func_def_5694,type,
    sK4560: set_set_nat > set_nat > set_set_nat > set_nat ).

thf(func_def_5695,type,
    sK4561: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5696,type,
    sK4562: set_real > real > set_real > real ).

thf(func_def_5697,type,
    sK4563: set_real > real > set_real > real ).

thf(func_def_5698,type,
    sK4564: set_real > set_real > real ).

thf(func_def_5699,type,
    sK4565: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5700,type,
    sK4566: set_Pr1261947904930325089at_nat > product_prod_nat_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5701,type,
    sK4567: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5702,type,
    sK4568: set_int > int > int ).

thf(func_def_5703,type,
    sK4569: set_int > int ).

thf(func_def_5704,type,
    sK4570: set_nat > nat > nat ).

thf(func_def_5705,type,
    sK4571: set_nat > nat > nat ).

thf(func_def_5706,type,
    sK4572: set_nat > nat ).

thf(func_def_5707,type,
    sK4573: set_nat > nat > nat > nat ).

thf(func_def_5708,type,
    sK4574: nat > set_nat > nat ).

thf(func_def_5709,type,
    sK4575: int > int > int > int > int ).

thf(func_def_5710,type,
    sK4576: int > int > int > int > int ).

thf(func_def_5711,type,
    sK4577: int > int > int > int > int ).

thf(func_def_5712,type,
    sK4578: int > int > int > int > int ).

thf(func_def_5713,type,
    sK4579: int > int > int > int > int ).

thf(func_def_5714,type,
    sK4580: int > int > int > int > int ).

thf(func_def_5715,type,
    sK4581: int > int > int > int > int ).

thf(func_def_5716,type,
    sK4582: int > int > int > int > int ).

thf(func_def_5717,type,
    sK4583: int > int > int > int > int ).

thf(func_def_5718,type,
    sK4584: int > int > int > int > int ).

thf(func_def_5719,type,
    sK4585: int > int > int > int > int ).

thf(func_def_5720,type,
    sK4586: int > int > int > int > int ).

thf(func_def_5721,type,
    sK4587: int > int > int > int > int ).

thf(func_def_5722,type,
    sK4588: int > int > int > int > int ).

thf(func_def_5723,type,
    sK4589: int > int > int > int > int ).

thf(func_def_5724,type,
    sK4590: int > int > int > int > int ).

thf(func_def_5725,type,
    sK4591: int > int > int > int > int ).

thf(func_def_5726,type,
    sK4592: int > int > int > int > int ).

thf(func_def_5727,type,
    sK4593: int > int > int > int > int ).

thf(func_def_5728,type,
    sK4594: int > int > int > int > int ).

thf(func_def_5729,type,
    sK4595: int > int > int > int > int ).

thf(func_def_5730,type,
    sK4596: int > int > int > int > int ).

thf(func_def_5731,type,
    sK4597: int > int > int > int > int ).

thf(func_def_5732,type,
    sK4598: int > int > int > int > int ).

thf(func_def_5733,type,
    sK4599: int > int > int > int > int ).

thf(func_def_5734,type,
    sK4600: int > int > int > int > int ).

thf(func_def_5735,type,
    sK4601: int > int > int > int > int ).

thf(func_def_5736,type,
    sK4602: int > int > int > int > int ).

thf(func_def_5737,type,
    sK4603: int > int > int > int > int ).

thf(func_def_5738,type,
    sK4604: int > int > int > int > int ).

thf(func_def_5739,type,
    sK4605: int > int > int > int > int ).

thf(func_def_5740,type,
    sK4606: int > int > int > int > int ).

thf(func_def_5741,type,
    sK4607: int > int > int > int > int ).

thf(func_def_5742,type,
    sK4608: int > int > int > int > int ).

thf(func_def_5743,type,
    sK4609: int > int > int > int > int ).

thf(func_def_5744,type,
    sK4610: int > int > int > int > int ).

thf(func_def_5745,type,
    sK4611: int > int > int > int > int ).

thf(func_def_5746,type,
    sK4612: int > int > int > int > int ).

thf(func_def_5747,type,
    sK4613: int > int > int > int > int ).

thf(func_def_5748,type,
    sK4614: int > int > int > int > int ).

thf(func_def_5749,type,
    sK4615: nat > set_nat > nat ).

thf(func_def_5750,type,
    sK4616: nat > set_nat > nat ).

thf(func_def_5751,type,
    sK4617: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5752,type,
    sK4618: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5753,type,
    sK4619: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5754,type,
    sK4620: int > ( int > $o ) > int ).

thf(func_def_5755,type,
    sK4621: int > ( int > $o ) > int ).

thf(func_def_5756,type,
    sK4622: nat > ( nat > $o ) > nat ).

thf(func_def_5757,type,
    sK4623: nat > ( nat > $o ) > nat ).

thf(func_def_5758,type,
    sK4624: rat > ( rat > $o ) > rat ).

thf(func_def_5759,type,
    sK4625: rat > ( rat > $o ) > rat ).

thf(func_def_5760,type,
    sK4626: real > ( real > $o ) > real ).

thf(func_def_5761,type,
    sK4627: real > ( real > $o ) > real ).

thf(func_def_5762,type,
    sK4628: complex > ( complex > $o ) > complex ).

thf(func_def_5763,type,
    sK4629: complex > ( complex > $o ) > complex ).

thf(func_def_5764,type,
    sK4630: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_5765,type,
    sK4631: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_5766,type,
    sK4632: nat > nat > nat > nat ).

thf(func_def_5767,type,
    sK4633: nat > nat > nat > nat ).

thf(func_def_5768,type,
    sK4634: nat > nat ).

thf(func_def_5769,type,
    sK4635: nat > nat > nat ).

thf(func_def_5770,type,
    sK4636: nat > set_nat > nat ).

thf(func_def_5771,type,
    sK4637: int > int > ( int > $o ) > int ).

thf(func_def_5772,type,
    sK4638: int > ( int > $o ) > int > int ).

thf(func_def_5773,type,
    sK4639: int > ( int > $o ) > int > int ).

thf(func_def_5774,type,
    sK4640: int > ( int > $o ) > int > int ).

thf(func_def_5775,type,
    sK4641: int > ( int > $o ) > int > int ).

thf(func_def_5776,type,
    sK4642: int > int > ( int > $o ) > int ).

thf(func_def_5777,type,
    sK4643: int > int > ( int > $o ) > int ).

thf(func_def_5778,type,
    sK4644: int > int > ( int > $o ) > int ).

thf(func_def_5779,type,
    sK4645: int > int > ( int > $o ) > int ).

thf(func_def_5780,type,
    sK4646: int > int > ( int > $o ) > int ).

thf(func_def_5781,type,
    sK4647: int > ( int > $o ) > int > int ).

thf(func_def_5782,type,
    sK4648: int > int > ( int > $o ) > int ).

thf(func_def_5783,type,
    sK4649: int > ( int > $o ) > int > int ).

thf(func_def_5784,type,
    sK4650: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5785,type,
    sK4651: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5786,type,
    sK4652: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5787,type,
    sK4653: nat > nat > ( nat > $o ) > nat ).

thf(func_def_5788,type,
    sK4654: vEBT_VEBT > $o ).

thf(func_def_5789,type,
    sK4655: vEBT_VEBT > $o ).

thf(func_def_5790,type,
    sK4656: set_nat > nat ).

thf(func_def_5791,type,
    sK4657: nat > list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_5792,type,
    sK4658: nat > list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_5793,type,
    sK4659: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_5794,type,
    sK4660: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_5795,type,
    sK4661: vEBT_VEBT > nat > nat > nat ).

thf(func_def_5796,type,
    sK4662: vEBT_VEBT > nat > nat > nat ).

thf(func_def_5797,type,
    db7: 
      !>[X0: $tType] : X0 ).

thf(func_def_5798,type,
    sK4663: set_nat > nat > nat ).

thf(func_def_5799,type,
    sK4664: nat > set_nat > nat ).

thf(func_def_5800,type,
    sK4665: set_nat > nat > nat ).

thf(func_def_5801,type,
    sK4666: nat > set_nat > nat ).

thf(func_def_5802,type,
    sK4667: nat > nat ).

thf(func_def_5803,type,
    sK4668: list_int > set_Pr958786334691620121nt_int > list_int > nat ).

thf(func_def_5804,type,
    sK4669: list_int > list_int > set_Pr958786334691620121nt_int > int ).

thf(func_def_5805,type,
    sK4670: list_nat > set_Pr1261947904930325089at_nat > list_nat > nat ).

thf(func_def_5806,type,
    sK4671: list_nat > list_nat > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_5807,type,
    sK4672: list_o > set_Product_prod_o_o > list_o > nat ).

thf(func_def_5808,type,
    sK4673: list_o > list_o > set_Product_prod_o_o > $o ).

thf(func_def_5809,type,
    sK4674: list_VEBT_VEBT > set_Pr6192946355708809607T_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_5810,type,
    sK4675: list_VEBT_VEBT > list_VEBT_VEBT > set_Pr6192946355708809607T_VEBT > vEBT_VEBT ).

thf(func_def_5811,type,
    sK4676: list_num > ( num > $o ) > num ).

thf(func_def_5812,type,
    sK4677: list_P6011104703257516679at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_5813,type,
    sK4678: list_nat > ( nat > $o ) > nat ).

thf(func_def_5814,type,
    sK4679: list_int > ( int > $o ) > int ).

thf(func_def_5815,type,
    sK4680: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_5816,type,
    sK4681: list_set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_5817,type,
    sK4682: list_real > ( real > $o ) > real ).

thf(func_def_5818,type,
    sK4683: list_num > ( num > $o ) > num ).

thf(func_def_5819,type,
    sK4684: list_P6011104703257516679at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_5820,type,
    sK4685: list_nat > ( nat > $o ) > nat ).

thf(func_def_5821,type,
    sK4686: list_int > ( int > $o ) > int ).

thf(func_def_5822,type,
    sK4687: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_5823,type,
    sK4688: list_set_nat > ( set_nat > $o ) > set_nat ).

thf(func_def_5824,type,
    sK4689: list_real > ( real > $o ) > real ).

thf(func_def_5825,type,
    sK4690: ( int > $o ) > list_int > int > nat ).

thf(func_def_5826,type,
    sK4691: ( int > $o ) > nat > list_int > nat ).

thf(func_def_5827,type,
    sK4692: ( nat > $o ) > list_nat > nat > nat ).

thf(func_def_5828,type,
    sK4693: ( nat > $o ) > nat > list_nat > nat ).

thf(func_def_5829,type,
    sK4694: ( $o > $o ) > list_o > $o > nat ).

thf(func_def_5830,type,
    sK4695: ( $o > $o ) > nat > list_o > nat ).

thf(func_def_5831,type,
    sK4696: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_5832,type,
    sK4697: ( vEBT_VEBT > $o ) > nat > list_VEBT_VEBT > nat ).

thf(func_def_5833,type,
    sK4698: ( num > $o ) > list_num > num > nat ).

thf(func_def_5834,type,
    sK4699: ( num > $o ) > nat > list_num > nat ).

thf(func_def_5835,type,
    sK4700: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_5836,type,
    sK4701: ( product_prod_nat_nat > $o ) > nat > list_P6011104703257516679at_nat > nat ).

thf(func_def_5837,type,
    sK4702: list_int > ( int > $o ) > int > nat ).

thf(func_def_5838,type,
    sK4703: list_int > nat > ( int > $o ) > nat ).

thf(func_def_5839,type,
    sK4704: list_nat > ( nat > $o ) > nat > nat ).

thf(func_def_5840,type,
    sK4705: list_nat > nat > ( nat > $o ) > nat ).

thf(func_def_5841,type,
    sK4706: list_o > ( $o > $o ) > $o > nat ).

thf(func_def_5842,type,
    sK4707: list_o > nat > ( $o > $o ) > nat ).

thf(func_def_5843,type,
    sK4708: list_VEBT_VEBT > ( vEBT_VEBT > $o ) > vEBT_VEBT > nat ).

thf(func_def_5844,type,
    sK4709: list_VEBT_VEBT > nat > ( vEBT_VEBT > $o ) > nat ).

thf(func_def_5845,type,
    sK4710: list_num > ( num > $o ) > num > nat ).

thf(func_def_5846,type,
    sK4711: list_num > nat > ( num > $o ) > nat ).

thf(func_def_5847,type,
    sK4712: list_P6011104703257516679at_nat > ( product_prod_nat_nat > $o ) > product_prod_nat_nat > nat ).

thf(func_def_5848,type,
    sK4713: list_P6011104703257516679at_nat > nat > ( product_prod_nat_nat > $o ) > nat ).

thf(func_def_5849,type,
    sK4714: nat > set_nat > nat ).

thf(func_def_5850,type,
    sK4715: nat > set_nat > nat ).

thf(func_def_5851,type,
    sK4716: nat > set_nat > nat ).

thf(func_def_5852,type,
    sK4717: nat > set_nat > nat ).

thf(func_def_5853,type,
    sK4718: set_nat > nat ).

thf(func_def_5854,type,
    sK4719: nat > set_nat > nat ).

thf(func_def_5855,type,
    sK4720: set_nat > nat ).

thf(func_def_5856,type,
    sK4721: nat > set_nat > nat ).

thf(func_def_5857,type,
    sK4722: ( set_int > $o ) > int ).

thf(func_def_5858,type,
    sK4723: ( set_nat > $o ) > nat ).

thf(func_def_5859,type,
    sK4724: nat > set_nat > nat ).

thf(func_def_5860,type,
    sK4725: set_nat > nat > nat ).

thf(func_def_5861,type,
    sK4726: nat > set_nat > nat ).

thf(func_def_5862,type,
    sK4727: set_int > int ).

thf(func_def_5863,type,
    sK4728: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5864,type,
    sK4729: set_nat > nat ).

thf(func_def_5865,type,
    sK4730: set_nat > set_nat > nat ).

thf(func_def_5866,type,
    sK4731: set_nat > nat > nat ).

thf(func_def_5867,type,
    sK4732: set_int > int ).

thf(func_def_5868,type,
    sK4733: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5869,type,
    sK4734: set_nat > nat ).

thf(func_def_5870,type,
    sK4735: set_nat > set_nat > nat ).

thf(func_def_5871,type,
    sK4736: set_nat > nat > nat ).

thf(func_def_5872,type,
    sK4737: set_int > int ).

thf(func_def_5873,type,
    sK4738: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5874,type,
    sK4739: set_nat > nat ).

thf(func_def_5875,type,
    sK4740: set_nat > set_nat > nat ).

thf(func_def_5876,type,
    sK4741: nat > set_nat > nat ).

thf(func_def_5877,type,
    sK4742: nat > set_nat > nat ).

thf(func_def_5878,type,
    sK4743: int ).

thf(func_def_5879,type,
    sK4744: nat ).

thf(func_def_5880,type,
    sK4745: int ).

thf(func_def_5881,type,
    sK4746: nat ).

thf(func_def_5882,type,
    sK4747: nat > set_nat > nat ).

thf(func_def_5883,type,
    sK4748: nat > set_nat > nat ).

thf(func_def_5884,type,
    sK4749: nat > set_nat > nat ).

thf(func_def_5885,type,
    sK4750: set_nat > nat > nat ).

thf(func_def_5886,type,
    sK4751: set_nat > nat > nat ).

thf(func_def_5887,type,
    sK4752: set_nat > nat > nat ).

thf(func_def_5888,type,
    sK4753: nat > set_nat > nat ).

thf(func_def_5889,type,
    sK4754: nat > set_nat > nat ).

thf(func_def_5890,type,
    sK4755: set_nat > nat > nat ).

thf(func_def_5891,type,
    sK4756: set_nat > set_nat > set_set_nat > nat ).

thf(func_def_5892,type,
    sK4757: nat > set_nat > nat ).

thf(func_def_5893,type,
    sK4758: nat > set_nat > nat ).

thf(func_def_5894,type,
    sK4759: set_nat > nat > nat ).

thf(func_def_5895,type,
    sK4760: set_nat > set_nat > set_set_nat > nat ).

thf(func_def_5896,type,
    sK4761: set_nat > nat ).

thf(func_def_5897,type,
    sK4762: set_nat > nat ).

thf(func_def_5898,type,
    sK4763: set_nat > nat > nat ).

thf(func_def_5899,type,
    sK4764: set_nat > nat > nat ).

thf(func_def_5900,type,
    sK4765: set_nat > nat ).

thf(func_def_5901,type,
    sK4766: nat > set_nat > nat ).

thf(func_def_5902,type,
    sK4767: set_nat > nat ).

thf(func_def_5903,type,
    sK4768: nat > set_nat > nat ).

thf(func_def_5904,type,
    sK4769: nat > set_nat > nat ).

thf(func_def_5905,type,
    sK4770: nat > set_nat > nat ).

thf(func_def_5906,type,
    sK4771: nat > set_nat > nat ).

thf(func_def_5907,type,
    sK4772: nat > set_nat > nat ).

thf(func_def_5908,type,
    sK4773: nat > set_nat > nat ).

thf(func_def_5909,type,
    sK4774: nat > set_nat > nat ).

thf(func_def_5910,type,
    sK4775: nat > set_nat > nat ).

thf(func_def_5911,type,
    sK4776: nat > set_nat > nat ).

thf(func_def_5912,type,
    sK4777: nat > set_nat > nat ).

thf(func_def_5913,type,
    sK4778: list_int > int ).

thf(func_def_5914,type,
    sK4779: list_nat > nat ).

thf(func_def_5915,type,
    sK4780: vEBT_VEBT > nat ).

thf(func_def_5916,type,
    sK4781: set_int > int ).

thf(func_def_5917,type,
    sK4782: set_nat > nat ).

thf(func_def_5918,type,
    sK4783: set_real > real ).

thf(func_def_5919,type,
    sK4784: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5920,type,
    sK4785: set_set_nat > set_nat ).

thf(func_def_5921,type,
    sK4786: set_nat > set_nat > nat ).

thf(func_def_5922,type,
    sK4787: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5923,type,
    sK4788: set_real > set_real > real ).

thf(func_def_5924,type,
    sK4789: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5925,type,
    sK4790: set_nat > set_nat > nat ).

thf(func_def_5926,type,
    sK4791: set_set_nat > set_set_nat > set_nat ).

thf(func_def_5927,type,
    sK4792: set_real > set_real > real ).

thf(func_def_5928,type,
    sK4793: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5929,type,
    sK4794: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_5930,type,
    sK4795: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_5931,type,
    sK4796: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_5932,type,
    sK4797: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_5933,type,
    sK4798: ( set_nat > $o ) > ( set_nat > $o ) > set_nat ).

thf(func_def_5934,type,
    sK4799: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_5935,type,
    sK4800: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_5936,type,
    sK4801: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_5937,type,
    sK4802: option_num > num ).

thf(func_def_5938,type,
    sK4803: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_5939,type,
    sK4804: option_nat > nat ).

thf(func_def_5940,type,
    sK4805: option_num > num ).

thf(func_def_5941,type,
    sK4806: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_5942,type,
    sK4807: option_nat > nat ).

thf(func_def_5943,type,
    sK4808: ( int > $o ) > int ).

thf(func_def_5944,type,
    sK4809: ( nat > $o ) > nat ).

thf(func_def_5945,type,
    sK4810: ( real > $o ) > real ).

thf(func_def_5946,type,
    sK4811: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_5947,type,
    sK4812: ( set_nat > $o ) > set_nat ).

thf(func_def_5948,type,
    sK4813: ( list_nat > $o ) > list_nat ).

thf(func_def_5949,type,
    sK4814: ( int > $o ) > int ).

thf(func_def_5950,type,
    sK4815: ( nat > $o ) > nat ).

thf(func_def_5951,type,
    sK4816: ( real > $o ) > real ).

thf(func_def_5952,type,
    sK4817: ( product_prod_nat_nat > $o ) > product_prod_nat_nat ).

thf(func_def_5953,type,
    sK4818: ( set_nat > $o ) > set_nat ).

thf(func_def_5954,type,
    sK4819: ( list_nat > $o ) > list_nat ).

thf(func_def_5955,type,
    sK4820: set_int > int ).

thf(func_def_5956,type,
    sK4821: set_nat > nat ).

thf(func_def_5957,type,
    sK4822: set_real > real ).

thf(func_def_5958,type,
    sK4823: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5959,type,
    sK4824: set_set_nat > set_nat ).

thf(func_def_5960,type,
    sK4825: set_nat > nat ).

thf(func_def_5961,type,
    sK4826: set_real > real ).

thf(func_def_5962,type,
    sK4827: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5963,type,
    sK4828: set_nat > list_nat > nat ).

thf(func_def_5964,type,
    sK4829: set_set_nat > list_set_nat > set_nat ).

thf(func_def_5965,type,
    sK4830: set_real > list_real > real ).

thf(func_def_5966,type,
    sK4831: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_5967,type,
    sK4832: ( nat > $o ) > nat > nat ).

thf(func_def_5968,type,
    sK4833: ( nat > $o ) > nat > nat ).

thf(func_def_5969,type,
    sK4834: nat > nat ).

thf(func_def_5970,type,
    sK4835: ( nat > $o ) > nat > nat ).

thf(func_def_5971,type,
    sK4836: ( nat > $o ) > nat > nat ).

thf(func_def_5972,type,
    sK4837: nat > nat > nat ).

thf(func_def_5973,type,
    sK4838: set_int > list_int > int ).

thf(func_def_5974,type,
    sK4839: set_nat > list_nat > nat ).

thf(func_def_5975,type,
    sK4840: set_nat > list_nat > nat ).

thf(func_def_5976,type,
    sK4841: set_VEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_5977,type,
    sK4842: set_set_nat > list_set_nat > set_nat ).

thf(func_def_5978,type,
    sK4843: set_set_nat > list_set_nat > set_nat ).

thf(func_def_5979,type,
    sK4844: set_real > list_real > real ).

thf(func_def_5980,type,
    sK4845: set_real > list_real > real ).

thf(func_def_5981,type,
    sK4846: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_5982,type,
    sK4847: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_5983,type,
    sK4848: nat > nat > nat ).

thf(func_def_5984,type,
    sK4849: ( nat > $o ) > nat > nat ).

thf(func_def_5985,type,
    sK4850: ( nat > $o ) > nat > nat ).

thf(func_def_5986,type,
    sK4851: ( nat > $o ) > nat > nat ).

thf(func_def_5987,type,
    sK4852: ( nat > $o ) > nat > nat ).

thf(func_def_5988,type,
    sK4853: set_nat > nat ).

thf(func_def_5989,type,
    sK4854: set_real > real ).

thf(func_def_5990,type,
    sK4855: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5991,type,
    sK4856: set_nat > nat ).

thf(func_def_5992,type,
    sK4857: set_real > real ).

thf(func_def_5993,type,
    sK4858: set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_5994,type,
    sK4859: list_int > int > nat ).

thf(func_def_5995,type,
    sK4860: list_nat > nat > nat ).

thf(func_def_5996,type,
    sK4861: list_o > $o > nat ).

thf(func_def_5997,type,
    sK4862: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_5998,type,
    sK4863: list_set_nat > set_nat > nat ).

thf(func_def_5999,type,
    sK4864: list_real > real > nat ).

thf(func_def_6000,type,
    sK4865: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_6001,type,
    sK4866: ( int > $o ) > list_int > int ).

thf(func_def_6002,type,
    sK4867: ( int > $o ) > list_int > nat ).

thf(func_def_6003,type,
    sK4868: ( nat > $o ) > list_nat > nat ).

thf(func_def_6004,type,
    sK4869: ( nat > $o ) > list_nat > nat ).

thf(func_def_6005,type,
    sK4870: ( $o > $o ) > list_o > $o ).

thf(func_def_6006,type,
    sK4871: ( $o > $o ) > list_o > nat ).

thf(func_def_6007,type,
    sK4872: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_6008,type,
    sK4873: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_6009,type,
    sK4874: ( nat > int > $o ) > nat > nat ).

thf(func_def_6010,type,
    sK4875: ( nat > int > $o ) > nat > list_int ).

thf(func_def_6011,type,
    sK4876: ( nat > int > $o ) > list_int > nat > nat ).

thf(func_def_6012,type,
    sK4877: ( nat > int > $o ) > nat > int ).

thf(func_def_6013,type,
    sK4878: ( nat > nat > $o ) > nat > nat ).

thf(func_def_6014,type,
    sK4879: ( nat > nat > $o ) > nat > list_nat ).

thf(func_def_6015,type,
    sK4880: ( nat > nat > $o ) > list_nat > nat > nat ).

thf(func_def_6016,type,
    sK4881: ( nat > nat > $o ) > nat > nat ).

thf(func_def_6017,type,
    sK4882: ( nat > $o > $o ) > nat > nat ).

thf(func_def_6018,type,
    sK4883: ( nat > $o > $o ) > nat > list_o ).

thf(func_def_6019,type,
    sK4884: ( nat > $o > $o ) > list_o > nat > nat ).

thf(func_def_6020,type,
    sK4885: ( nat > $o > $o ) > nat > $o ).

thf(func_def_6021,type,
    sK4886: ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_6022,type,
    sK4887: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).

thf(func_def_6023,type,
    sK4888: ( nat > vEBT_VEBT > $o ) > list_VEBT_VEBT > nat > nat ).

thf(func_def_6024,type,
    sK4889: ( nat > vEBT_VEBT > $o ) > nat > vEBT_VEBT ).

thf(func_def_6025,type,
    sK4890: nat > nat > ( nat > $o ) > nat ).

thf(func_def_6026,type,
    sK4891: int > nat > ( int > $o ) > int ).

thf(func_def_6027,type,
    sK4892: vEBT_VEBT > nat > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_6028,type,
    sK4893: nat > nat > ( nat > $o ) > nat ).

thf(func_def_6029,type,
    sK4894: int > nat > ( int > $o ) > int ).

thf(func_def_6030,type,
    sK4895: vEBT_VEBT > nat > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_6031,type,
    sK4896: nat > vEBT_VEBT > nat ).

thf(func_def_6032,type,
    sK4897: nat > vEBT_VEBT > nat ).

thf(f1,axiom,
    ? [X0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).

thf(f4,axiom,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [X0: vEBT_VEBT,X1: nat] :
          ( ( vEBT_VEBT_membermima @ X0 @ X1 )
          | ( vEBT_V5719532721284313246member @ X0 @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_both__member__options__def) ).

thf(f9830,axiom,
    ! [X0: nat] :
      ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
     => thesis ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f9831,conjecture,
    thesis,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

thf(f9832,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[status(cth)],[f9831]) ).

thf(f9833,plain,
    ? [X0: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ),
    inference(rectify,[],[f1]) ).

thf(f9834,plain,
    ? [X0: nat] :
      ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
      = $true ),
    inference(fool_elimination,[],[f9833]) ).

thf(f9837,plain,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [X0: vEBT_VEBT,X1: nat] :
          ( ( vEBT_VEBT_membermima @ X0 @ X1 )
          | ( vEBT_V5719532721284313246member @ X0 @ X1 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f9838,plain,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [Y0: vEBT_VEBT,Y1: nat] :
          ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
          | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f9837]) ).

thf(f23227,plain,
    ! [X0: nat] :
      ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
     => thesis ),
    inference(rectify,[],[f9830]) ).

thf(f23228,plain,
    ! [X0: nat] :
      ( ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
        = $true )
     => ( thesis = $true ) ),
    inference(fool_elimination,[],[f23227]) ).

thf(f23229,plain,
    ~ thesis,
    inference(rectify,[],[f9832]) ).

thf(f23230,plain,
    thesis != $true,
    inference(fool_elimination,[],[f23229]) ).

thf(f24107,plain,
    thesis != $true,
    inference(flattening,[],[f23230]) ).

thf(f31203,plain,
    ! [X0: nat] :
      ( ( thesis = $true )
      | ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
       != $true ) ),
    inference(ennf_transformation,[],[f23228]) ).

thf(f31479,plain,
    ( $true
    = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK185]),skolemize(X0,sK185)],[f9834]) ).

thf(f33592,plain,
    ( $true
    = ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) ),
    inference(cnf_transformation,[],[f31479]) ).

thf(f33595,plain,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [Y0: vEBT_VEBT,Y1: nat] :
          ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
          | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f9838]) ).

thf(f46329,plain,
    ! [X0: nat] :
      ( ( thesis = $true )
      | ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
       != $true ) ),
    inference(cnf_transformation,[],[f31203]) ).

thf(f46330,plain,
    thesis != $true,
    inference(cnf_transformation,[],[f24107]) ).

thf(f46447,plain,
    ( $true
    = ( ^ [Y0: vEBT_VEBT,Y1: nat] :
          ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
          | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) )
      @ ( nth_VEBT_VEBT @ treeList @ maxs )
      @ sK185 ) ),
    inference(definition_unfolding,[],[f33592,f33595]) ).

thf(f55549,plain,
    ! [X0: nat] :
      ( ( thesis = $true )
      | ( $true
       != ( ^ [Y0: vEBT_VEBT,Y1: nat] :
              ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
              | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) )
          @ ( nth_VEBT_VEBT @ treeList @ maxs )
          @ X0 ) ) ),
    inference(definition_unfolding,[],[f46329,f33595]) ).

thf(f56284,plain,
    ! [X0: nat] :
      ( ( thesis = $true )
      | ( $true
       != ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 )
          | ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) ) ) ),
    inference(beta-eta_normalization,[],[f55549]) ).

thf(f56285,plain,
    ! [X0: nat] :
      ( ( thesis = $true )
      | ( $false
        = ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) ) ),
    inference(or_proxy_clausification,[],[f56284]) ).

thf(f56286,plain,
    ! [X0: nat] :
      ( ( thesis = $true )
      | ( $false
        = ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) ) ),
    inference(or_proxy_clausification,[],[f56284]) ).

thf(f141203,plain,
    ( $true
    = ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 )
      | ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) ) ),
    inference(beta-eta_normalization,[],[f46447]) ).

thf(f141204,plain,
    ( ( $true
      = ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) )
    | ( $true
      = ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) ) ),
    inference(or_proxy_clausification,[],[f141203]) ).

thf(f141213,definition,
    ( spl4898_1
  <=> ( thesis = $true ) ),
    introduced(definition,[new_symbols(definition,[spl4898_1])],[avatar_definition]) ).

thf(f141216,plain,
    ~ spl4898_1,
    inference(avatar_split_clause,[],[f46330,f141213]) ).

thf(f141218,definition,
    ( spl4898_2
  <=> ! [X0: nat] :
        ( $false
        = ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4898_2])],[avatar_definition]) ).

thf(f141219,plain,
    ( ! [X0: nat] :
        ( $false
        = ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) )
    | ~ spl4898_2 ),
    inference(avatar_component_clause,[],[f141218]) ).

thf(f141220,plain,
    ( spl4898_2
    | spl4898_1 ),
    inference(avatar_split_clause,[],[f56286,f141213,f141218]) ).

thf(f141222,definition,
    ( spl4898_3
  <=> ! [X0: nat] :
        ( $false
        = ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4898_3])],[avatar_definition]) ).

thf(f141223,plain,
    ( ! [X0: nat] :
        ( $false
        = ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X0 ) )
    | ~ spl4898_3 ),
    inference(avatar_component_clause,[],[f141222]) ).

thf(f141224,plain,
    ( spl4898_3
    | spl4898_1 ),
    inference(avatar_split_clause,[],[f56285,f141213,f141222]) ).

thf(f289294,definition,
    ( spl4898_40912
  <=> ( $true
      = ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4898_40912])],[avatar_definition]) ).

thf(f289296,plain,
    ( ( $true
      = ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) )
    | ~ spl4898_40912 ),
    inference(avatar_component_clause,[],[f289294]) ).

thf(f289298,definition,
    ( spl4898_40913
  <=> ( $true
      = ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) ) ),
    introduced(definition,[new_symbols(definition,[spl4898_40913])],[avatar_definition]) ).

thf(f289300,plain,
    ( ( $true
      = ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ sK185 ) )
    | ~ spl4898_40913 ),
    inference(avatar_component_clause,[],[f289298]) ).

thf(f289301,plain,
    ( spl4898_40912
    | spl4898_40913 ),
    inference(avatar_split_clause,[],[f141204,f289298,f289294]) ).

thf(f317064,plain,
    ( ( $true = $false )
    | ~ spl4898_3
    | ~ spl4898_40913 ),
    inference(forward_demodulation,[],[f289300,f141223]) ).

thf(f317065,plain,
    ( $false
    | ~ spl4898_3
    | ~ spl4898_40913 ),
    inference(trivial_inequality_removal,[],[f317064]) ).

thf(f317066,plain,
    ( ~ spl4898_3
    | ~ spl4898_40913 ),
    inference(avatar_contradiction_clause,[],[f317065]) ).

thf(f328531,plain,
    ( ( $true = $false )
    | ~ spl4898_2
    | ~ spl4898_40912 ),
    inference(forward_demodulation,[],[f289296,f141219]) ).

thf(f328532,plain,
    ( $false
    | ~ spl4898_2
    | ~ spl4898_40912 ),
    inference(trivial_inequality_removal,[],[f328531]) ).

thf(f328533,plain,
    ( ~ spl4898_2
    | ~ spl4898_40912 ),
    inference(avatar_contradiction_clause,[],[f328532]) ).

cnf(s1,plain,
    ~ spl4898_1,
    inference(sat_conversion,[],[f141216]) ).

cnf(s2,plain,
    ( spl4898_1
    | spl4898_2 ),
    inference(sat_conversion,[],[f141220]) ).

cnf(s3,plain,
    ( spl4898_1
    | spl4898_3 ),
    inference(sat_conversion,[],[f141224]) ).

cnf(s27181,plain,
    ( spl4898_40912
    | spl4898_40913 ),
    inference(sat_conversion,[],[f289301]) ).

cnf(s34518,plain,
    ( ~ spl4898_3
    | ~ spl4898_40913 ),
    inference(sat_conversion,[],[f317066]) ).

cnf(s37965,plain,
    ( ~ spl4898_2
    | ~ spl4898_40912 ),
    inference(sat_conversion,[],[f328533]) ).

cnf(s45505,plain,
    spl4898_3,
    inference(rat,[],[s3,s1]) ).

cnf(s45506,plain,
    spl4898_2,
    inference(rat,[],[s2,s1]) ).

cnf(s45507,plain,
    ~ spl4898_40913,
    inference(rat,[],[s34518,s45505]) ).

cnf(s45508,plain,
    ~ spl4898_40912,
    inference(rat,[],[s37965,s45506]) ).

cnf(s45509,plain,
    $false,
    inference(rat,[],[s27181,s45507,s45508]) ).

thf(f354469,plain,
    $false,
    inference(avatar_sat_refutation,[],[s45509]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP236^1 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  % Computer : n001.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Tue Sep 29 20:32:21 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.26  Running first-order model finding
% 0.08/0.26  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.89/2.88  % (1778128)Will run a generic schedule for satisfiability detection.
% 13.89/2.88  % (1778134)% WARNING: option uhcvi not known.
% 13.89/2.88  % (1778134)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3045821433:i=135531:add=off:rawr=on_2994 on theBenchmark for (2994ds/135531Mi)
% 13.89/2.88  % (1778133)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=324297166_2994 on theBenchmark for (2994ds/0Mi)
% 13.89/2.88  % (1778135)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3252882040:i=88024:add=on:rawr=on_2994 on theBenchmark for (2994ds/88024Mi)
% 13.89/2.88  % (1778136)dis+10_1_sil=32000:sp=arity:random_seed=4170652597:i=103:fgj=on_2994 on theBenchmark for (2994ds/103Mi)
% 13.89/2.88  % (1778137)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1328414015:i=116_2994 on theBenchmark for (2994ds/116Mi)
% 13.89/2.88  % (1778138)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=388439714:i=131_2994 on theBenchmark for (2994ds/131Mi)
% 13.89/2.88  % (1778139)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3896474510:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2994 on theBenchmark for (2994ds/159Mi)
% 13.89/2.88  % (1778136)Instruction limit reached! 
% 13.89/2.88  % (1778136)------------------------------
% 13.89/2.88  % (1778136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.88  % (1778136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.88  % (1778136)CaDiCaL version: 2.1.3
% 13.89/2.88  % (1778136)Termination reason: Instruction limit
% 13.89/2.88  % (1778136)Termination phase: Initialization
% 13.89/2.88  % (1778136)Time elapsed: 0.044 s
% 13.89/2.88  % (1778136)Peak memory usage: 26 MB
% 13.89/2.88  % (1778136)Instructions burned: 104 (million)
% 13.89/2.88  % (1778137)Instruction limit reached! 
% 13.89/2.88  % (1778137)------------------------------
% 13.89/2.88  % (1778137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.88  % (1778137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.88  % (1778137)CaDiCaL version: 2.1.3
% 13.89/2.88  % (1778137)Termination reason: Instruction limit
% 13.89/2.88  % (1778137)Termination phase: Initialization
% 13.89/2.88  % (1778137)Time elapsed: 0.051 s
% 13.89/2.88  % (1778137)Peak memory usage: 26 MB
% 13.89/2.88  % (1778137)Instructions burned: 117 (million)
% 13.89/2.88  % (1778138)Instruction limit reached! 
% 13.89/2.88  % (1778138)------------------------------
% 13.89/2.88  % (1778138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.88  % (1778138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.88  % (1778138)CaDiCaL version: 2.1.3
% 13.89/2.88  % (1778138)Termination reason: Instruction limit
% 13.89/2.88  % (1778138)Termination phase: Initialization
% 13.89/2.88  % (1778138)Time elapsed: 0.056 s
% 13.89/2.88  % (1778138)Peak memory usage: 27 MB
% 13.89/2.88  % (1778138)Instructions burned: 133 (million)
% 13.89/2.88  % (1778147)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1518659122:i=714:nm=2_2993 on theBenchmark for (2993ds/714Mi)
% 13.89/2.88  % (1778139)Instruction limit reached! 
% 13.89/2.88  % (1778139)------------------------------
% 13.89/2.88  % (1778139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.88  % (1778139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/2.88  % (1778139)CaDiCaL version: 2.1.3
% 13.89/2.88  % (1778139)Termination reason: Instruction limit
% 13.89/2.88  % (1778139)Termination phase: Initialization
% 13.89/2.88  % (1778139)Time elapsed: 0.067 s
% 13.89/2.88  % (1778139)Peak memory usage: 27 MB
% 13.89/2.88  % (1778139)Instructions burned: 159 (million)
% 13.89/2.88  % (1778148)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=28584518:i=131:bd=preordered:fsd=on_2993 on theBenchmark for (2993ds/131Mi)
% 13.89/2.88  % (1778149)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=115645204:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2993 on theBenchmark for (2993ds/684Mi)
% 13.89/2.88  % (1778151)ott-21_1_sil=16000:fs=off:random_seed=3045313616:i=180:av=off:fsr=off_2993 on theBenchmark for (2993ds/180Mi)
% 13.89/2.88  % (1778148)Instruction limit reached! 
% 13.89/2.88  % (1778148)------------------------------
% 13.89/2.88  % (1778148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.89/2.88  % (1778148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.27/6.35  % (1778148)CaDiCaL version: 2.1.3
% 39.27/6.35  % (1778148)Termination reason: Instruction limit
% 39.27/6.35  % (1778148)Termination phase: Initialization
% 39.27/6.35  % (1778148)Time elapsed: 0.064 s
% 39.27/6.35  % (1778148)Peak memory usage: 26 MB
% 39.27/6.35  % (1778148)Instructions burned: 131 (million)
% 39.27/6.35  % (1778157)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1847978010:i=477:bd=all_2992 on theBenchmark for (2992ds/477Mi)
% 39.27/6.35  % (1778151)Instruction limit reached! 
% 39.27/6.35  % (1778151)------------------------------
% 39.27/6.35  % (1778151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.27/6.35  % (1778151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.27/6.35  % (1778151)CaDiCaL version: 2.1.3
% 39.27/6.35  % (1778151)Termination reason: Instruction limit
% 39.27/6.35  % (1778151)Termination phase: Initialization
% 39.27/6.35  % (1778151)Time elapsed: 0.108 s
% 39.27/6.35  % (1778151)Peak memory usage: 28 MB
% 39.27/6.35  % (1778151)Instructions burned: 181 (million)
% 39.27/6.35  % (1778160)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1739773678:fmbsr=1.3:i=865:ins=25_2991 on theBenchmark for (2991ds/865Mi)
% 39.27/6.35  % (1778134)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 39.27/6.35  % (1778157)Instruction limit reached! 
% 39.27/6.35  % (1778157)------------------------------
% 39.27/6.35  % (1778157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.27/6.35  % (1778157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.27/6.35  % (1778157)CaDiCaL version: 2.1.3
% 39.27/6.35  % (1778157)Termination reason: Instruction limit
% 39.27/6.35  % (1778157)Termination phase: Initialization
% 39.27/6.35  % (1778157)Time elapsed: 0.201 s
% 39.27/6.35  % (1778157)Peak memory usage: 32 MB
% 39.27/6.35  % (1778157)Instructions burned: 477 (million)
% 39.27/6.35  % (1778162)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3461142333:i=1179_2990 on theBenchmark for (2990ds/1179Mi)
% 39.27/6.35  % (1778147)Instruction limit reached! 
% 39.27/6.35  % (1778147)------------------------------
% 39.27/6.35  % (1778147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.27/6.35  % (1778147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.27/6.35  % (1778147)CaDiCaL version: 2.1.3
% 39.27/6.35  % (1778147)Termination reason: Instruction limit
% 39.27/6.35  % (1778147)Termination phase: Property scanning
% 39.27/6.35  % (1778147)Time elapsed: 0.366 s
% 39.27/6.35  % (1778147)Peak memory usage: 34 MB
% 39.27/6.35  % (1778147)Instructions burned: 716 (million)
% 39.27/6.35  % (1778164)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1620606412:i=889:ins=1_2989 on theBenchmark for (2989ds/889Mi)
% 39.27/6.35  % (1778149)Instruction limit reached! 
% 39.27/6.35  % (1778149)------------------------------
% 39.27/6.35  % (1778149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.27/6.35  % (1778149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.27/6.35  % (1778149)CaDiCaL version: 2.1.3
% 39.27/6.35  % (1778149)Termination reason: Instruction limit
% 39.27/6.35  % (1778149)Termination phase: Property scanning
% 39.27/6.35  % (1778149)Time elapsed: 0.393 s
% 39.27/6.35  % (1778149)Peak memory usage: 34 MB
% 39.27/6.35  % (1778149)Instructions burned: 686 (million)
% 39.27/6.35  % (1778166)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2913756620:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2989 on theBenchmark for (2989ds/692Mi)
% 39.27/6.35  % (1778160)Instruction limit reached! 
% 39.27/6.35  % (1778160)------------------------------
% 39.27/6.35  % (1778160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 39.27/6.35  % (1778160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.27/6.35  % (1778160)CaDiCaL version: 2.1.3
% 39.27/6.35  % (1778160)Termination reason: Instruction limit
% 39.27/6.35  % (1778160)Termination phase: Property scanning
% 39.27/6.35  % (1778160)Time elapsed: 0.366 s
% 39.27/6.35  % (1778160)Peak memory usage: 34 MB
% 39.27/6.35  % (1778160)Instructions burned: 866 (million)
% 39.27/6.35  % (1778168)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1953651165:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 39.27/6.35  % (1778166)Instruction limit reached! 
% 39.27/6.35  % (1778166)------------------------------
% 39.27/6.35  % (1778166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.93  % (1778166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.93  % (1778166)CaDiCaL version: 2.1.3
% 71.81/10.93  % (1778166)Termination reason: Instruction limit
% 71.81/10.93  % (1778166)Termination phase: Property scanning
% 71.81/10.93  % (1778166)Time elapsed: 0.287 s
% 71.81/10.93  % (1778166)Peak memory usage: 34 MB
% 71.81/10.93  % (1778166)Instructions burned: 692 (million)
% 71.81/10.93  % (1778170)fmb+10_1_sil=64000:random_seed=3914950084:i=22061:nm=2:gsp=on_2986 on theBenchmark for (2986ds/22061Mi)
% 71.81/10.93  % (1778164)Instruction limit reached! 
% 71.81/10.93  % (1778164)------------------------------
% 71.81/10.93  % (1778164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.93  % (1778164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.93  % (1778164)CaDiCaL version: 2.1.3
% 71.81/10.93  % (1778164)Termination reason: Instruction limit
% 71.81/10.93  % (1778164)Termination phase: Property scanning
% 71.81/10.93  % (1778164)Time elapsed: 0.414 s
% 71.81/10.93  % (1778164)Peak memory usage: 34 MB
% 71.81/10.93  % (1778164)Instructions burned: 890 (million)
% 71.81/10.93  % (1778172)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1425687142:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 71.81/10.93  % (1778162)Instruction limit reached! 
% 71.81/10.93  % (1778162)------------------------------
% 71.81/10.93  % (1778162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.93  % (1778162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.93  % (1778162)CaDiCaL version: 2.1.3
% 71.81/10.93  % (1778162)Termination reason: Instruction limit
% 71.81/10.93  % (1778162)Termination phase: Property scanning
% 71.81/10.93  % (1778162)Time elapsed: 0.483 s
% 71.81/10.93  % (1778162)Peak memory usage: 34 MB
% 71.81/10.93  % (1778162)Instructions burned: 1179 (million)
% 71.81/10.93  % (1778174)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=893560500:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 71.81/10.93  % (1778168)Instruction limit reached! 
% 71.81/10.93  % (1778168)------------------------------
% 71.81/10.93  % (1778168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.93  % (1778168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.93  % (1778168)CaDiCaL version: 2.1.3
% 71.81/10.93  % (1778168)Termination reason: Instruction limit
% 71.81/10.93  % (1778168)Termination phase: Property scanning
% 71.81/10.93  % (1778168)Time elapsed: 0.368 s
% 71.81/10.93  % (1778168)Peak memory usage: 34 MB
% 71.81/10.93  % (1778168)Instructions burned: 880 (million)
% 71.81/10.93  % (1778176)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2564255965:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 71.81/10.93  % (1778174)Instruction limit reached! 
% 71.81/10.93  % (1778174)------------------------------
% 71.81/10.93  % (1778174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.93  % (1778174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.93  % (1778174)CaDiCaL version: 2.1.3
% 71.81/10.93  % (1778174)Termination reason: Instruction limit
% 71.81/10.93  % (1778174)Termination phase: Property scanning
% 71.81/10.93  % (1778174)Time elapsed: 0.398 s
% 71.81/10.93  % (1778174)Peak memory usage: 34 MB
% 71.81/10.93  % (1778174)Instructions burned: 921 (million)
% 71.81/10.93  % (1778180)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=807271666:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 71.81/10.93  % (1778134)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 71.81/10.93  % (1778176)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 71.81/10.93  % (1778180)Instruction limit reached! 
% 71.81/10.93  % (1778180)------------------------------
% 71.81/10.93  % (1778180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.81/10.93  % (1778180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.81/10.93  % (1778180)CaDiCaL version: 2.1.3
% 71.81/10.93  % (1778180)Termination reason: Instruction limit
% 71.81/10.93  % (1778180)Termination phase: Preprocessing 3
% 71.81/10.93  % (1778180)Time elapsed: 0.628 s
% 71.81/10.93  % (1778180)Peak memory usage: 40 MB
% 71.81/10.93  % (1778180)Instructions burned: 1472 (million)
% 71.81/10.93  % (1778183)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=787208277:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 71.81/10.93  % (1778170)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 134.35/19.91  % Exception at run slice level
% 134.35/19.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 134.35/19.91  % (1778185)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2122910531:fmbsr=2.30978:i=2174_2970 on theBenchmark for (2970ds/2174Mi)
% 134.35/19.91  % Exception at run slice level
% 134.35/19.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 134.35/19.91  % (1778190)ott-2_1_sil=16000:newcnf=on:random_seed=2045355639:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2963 on theBenchmark for (2963ds/869Mi)
% 134.35/19.91  % Exception at run slice level
% 134.35/19.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 134.35/19.91  % (1778192)ott+10_1_sil=32000:tgt=ground:random_seed=975893146:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 134.35/19.91  % (1778185)Instruction limit reached! 
% 134.35/19.91  % (1778185)------------------------------
% 134.35/19.91  % (1778185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.35/19.91  % (1778185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.35/19.91  % (1778185)CaDiCaL version: 2.1.3
% 134.35/19.91  % (1778185)Termination reason: Instruction limit
% 134.35/19.91  % (1778185)Termination phase: Property scanning
% 134.35/19.91  % (1778185)Time elapsed: 0.936 s
% 134.35/19.91  % (1778185)Peak memory usage: 45 MB
% 134.35/19.91  % (1778185)Instructions burned: 2175 (million)
% 134.35/19.91  % (1778194)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2927928410:i=54282_2960 on theBenchmark for (2960ds/54282Mi)
% 134.35/19.91  % (1778190)Instruction limit reached! 
% 134.35/19.91  % (1778190)------------------------------
% 134.35/19.91  % (1778190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.35/19.91  % (1778190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.35/19.91  % (1778190)CaDiCaL version: 2.1.3
% 134.35/19.91  % (1778190)Termination reason: Instruction limit
% 134.35/19.91  % (1778190)Termination phase: Property scanning
% 134.35/19.91  % (1778190)Time elapsed: 0.358 s
% 134.35/19.91  % (1778190)Peak memory usage: 34 MB
% 134.35/19.91  % (1778190)Instructions burned: 870 (million)
% 134.35/19.91  % (1778196)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2741224381:i=3512:aac=none_2959 on theBenchmark for (2959ds/3512Mi)
% 134.35/19.91  % (1778176)Instruction limit reached! 
% 134.35/19.91  % (1778176)------------------------------
% 134.35/19.91  % (1778176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.35/19.91  % (1778176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.35/19.91  % (1778176)CaDiCaL version: 2.1.3
% 134.35/19.91  % (1778176)Termination reason: Instruction limit
% 134.35/19.91  % (1778176)Termination phase: Property scanning
% 134.35/19.91  % (1778176)Time elapsed: 2.693 s
% 134.35/19.91  % (1778176)Peak memory usage: 50 MB
% 134.35/19.91  % (1778176)Instructions burned: 5132 (million)
% 134.35/19.91  % (1778198)dis+21_1_sil=32000:sas=cadical:random_seed=1206061514:i=3773:amm=off_2956 on theBenchmark for (2956ds/3773Mi)
% 134.35/19.91  % Exception at run slice level
% 134.35/19.91  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 134.35/19.91  % (1778204)ott+11_1_sil=16000:gs=on:random_seed=694435810:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2950 on theBenchmark for (2950ds/2251Mi)
% 134.35/19.91  % (1778204)Instruction limit reached! 
% 134.35/19.91  % (1778204)------------------------------
% 134.35/19.91  % (1778204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.35/19.91  % (1778204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.35/19.91  % (1778204)CaDiCaL version: 2.1.3
% 134.35/19.91  % (1778204)Termination reason: Instruction limit
% 134.35/19.91  % (1778204)Termination phase: Property scanning
% 134.35/19.91  % (1778204)Time elapsed: 1.005 s
% 134.35/19.91  % (1778204)Peak memory usage: 46 MB
% 134.35/19.91  % (1778204)Instructions burned: 2252 (million)
% 134.35/19.91  % (1778208)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1270046881:fmbsr=1.6:i=67534_2940 on theBenchmark for (2940ds/67534Mi)
% 134.35/19.91  % (1778198)Instruction limit reached! 
% 134.35/19.91  % (1778198)------------------------------
% 134.35/19.91  % (1778198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 134.35/19.91  % (1778198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 134.35/19.91  % (1778198)CaDiCaL version: 2.1.3
% 201.27/29.26  % (1778198)Termination reason: Instruction limit
% 201.27/29.26  % (1778198)Termination phase: Property scanning
% 201.27/29.26  % (1778198)Time elapsed: 1.757 s
% 201.27/29.26  % (1778198)Peak memory usage: 49 MB
% 201.27/29.26  % (1778198)Instructions burned: 3774 (million)
% 201.27/29.26  % (1778210)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2376576065:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2939 on theBenchmark for (2939ds/4591Mi)
% 201.27/29.26  % (1778196)Instruction limit reached! 
% 201.27/29.26  % (1778196)------------------------------
% 201.27/29.26  % (1778196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.27/29.26  % (1778196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.27/29.26  % (1778196)CaDiCaL version: 2.1.3
% 201.27/29.26  % (1778196)Termination reason: Instruction limit
% 201.27/29.26  % (1778196)Termination phase: Property scanning
% 201.27/29.26  % (1778196)Time elapsed: 2.059 s
% 201.27/29.26  % (1778196)Peak memory usage: 50 MB
% 201.27/29.26  % (1778196)Instructions burned: 3513 (million)
% 201.27/29.26  % (1778212)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2846944303:i=29340_2938 on theBenchmark for (2938ds/29340Mi)
% 201.27/29.26  % Exception at run slice level
% 201.27/29.26  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.27/29.26  % (1778214)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=4093382011:i=5211_2937 on theBenchmark for (2937ds/5211Mi)
% 201.27/29.26  % (1778192)Instruction limit reached! 
% 201.27/29.26  % (1778192)------------------------------
% 201.27/29.26  % (1778192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.27/29.26  % (1778192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.27/29.26  % (1778192)CaDiCaL version: 2.1.3
% 201.27/29.26  % (1778192)Termination reason: Instruction limit
% 201.27/29.26  % (1778192)Termination phase: Property scanning
% 201.27/29.26  % (1778192)Time elapsed: 2.422 s
% 201.27/29.26  % (1778192)Peak memory usage: 50 MB
% 201.27/29.26  % (1778192)Instructions burned: 5115 (million)
% 201.27/29.26  % (1778216)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3902341845:i=5497:nm=2_2936 on theBenchmark for (2936ds/5497Mi)
% 201.27/29.26  % (1778210)Instruction limit reached! 
% 201.27/29.26  % (1778210)------------------------------
% 201.27/29.26  % (1778210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.27/29.26  % (1778210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.27/29.26  % (1778210)CaDiCaL version: 2.1.3
% 201.27/29.26  % (1778210)Termination reason: Instruction limit
% 201.27/29.26  % (1778210)Termination phase: Property scanning
% 201.27/29.26  % (1778210)Time elapsed: 2.118 s
% 201.27/29.26  % (1778210)Peak memory usage: 50 MB
% 201.27/29.26  % (1778210)Instructions burned: 4593 (million)
% 201.27/29.26  % (1778223)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=17823004:fmbsr=2:i=46332_2917 on theBenchmark for (2917ds/46332Mi)
% 201.27/29.26  % Exception at run slice level
% 201.27/29.26  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.27/29.26  % (1778225)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2664768953:i=14071_2915 on theBenchmark for (2915ds/14071Mi)
% 201.27/29.26  % Exception at run slice level
% 201.27/29.26  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 201.27/29.26  % (1778214)Instruction limit reached! 
% 201.27/29.26  % (1778214)------------------------------
% 201.27/29.26  % (1778214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 201.27/29.26  % (1778214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 201.27/29.26  % (1778214)CaDiCaL version: 2.1.3
% 201.27/29.26  % (1778214)Termination reason: Instruction limit
% 201.27/29.26  % (1778214)Termination phase: Property scanning
% 201.27/29.26  % (1778214)Time elapsed: 2.276 s
% 201.27/29.26  % (1778214)Peak memory usage: 50 MB
% 201.27/29.26  % (1778214)Instructions burned: 5213 (million)
% 201.27/29.26  % (1778227)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3996927279:i=22565:add=on:rawr=on_2914 on theBenchmark for (2914ds/22565Mi)
% 201.27/29.26  % (1778228)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2146153672:i=8173:av=off_2914 on theBenchmark for (2914ds/8173Mi)
% 201.27/29.26  % Exception at run slice level
% 201.27/29.26  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 210.12/30.52  % (1778237)dis+10_16:1_sil=16000:random_seed=1109080899:i=9155:fsr=off_2893 on theBenchmark for (2893ds/9155Mi)
% 210.12/30.52  % Exception at run slice level
% 210.12/30.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 210.12/30.52  % (1778239)ott-3_8_sil=64000:random_seed=3810370346:i=20139:bs=on_2892 on theBenchmark for (2892ds/20139Mi)
% 210.12/30.52  % (1778228)Instruction limit reached! 
% 210.12/30.52  % (1778228)------------------------------
% 210.12/30.52  % (1778228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 210.12/30.52  % (1778228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.12/30.52  % (1778228)CaDiCaL version: 2.1.3
% 210.12/30.52  % (1778228)Termination reason: Instruction limit
% 210.12/30.52  % (1778228)Termination phase: Saturation
% 210.12/30.52  % (1778228)Time elapsed: 3.434 s
% 210.12/30.52  % (1778228)Peak memory usage: 58 MB
% 210.12/30.52  % (1778228)Instructions burned: 8179 (million)
% 210.12/30.52  % (1778245)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3907637914:fmbsr=2:i=32576_2879 on theBenchmark for (2879ds/32576Mi)
% 210.12/30.52  % Exception at run slice level
% 210.12/30.52  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 210.12/30.52  % (1778251)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2184028088:i=11404_2861 on theBenchmark for (2861ds/11404Mi)
% 210.12/30.52  % (1778237)Instruction limit reached! 
% 210.12/30.52  % (1778237)------------------------------
% 210.12/30.52  % (1778237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 210.12/30.52  % (1778237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.12/30.52  % (1778237)CaDiCaL version: 2.1.3
% 210.12/30.52  % (1778237)Termination reason: Instruction limit
% 210.12/30.52  % (1778237)Termination phase: Saturation
% 210.12/30.52  % (1778237)Time elapsed: 3.753 s
% 210.12/30.52  % (1778237)Peak memory usage: 63 MB
% 210.12/30.52  % (1778237)Instructions burned: 9157 (million)
% 210.12/30.52  % (1778257)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=546051953:i=14134_2855 on theBenchmark for (2855ds/14134Mi)
% 210.12/30.52  % (1778257)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 210.12/30.52  % (1778239)Instruction limit reached! 
% 210.12/30.52  % (1778239)------------------------------
% 210.12/30.52  % (1778239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 210.12/30.52  % (1778239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.12/30.52  % (1778239)CaDiCaL version: 2.1.3
% 210.12/30.52  % (1778239)Termination reason: Instruction limit
% 210.12/30.52  % (1778239)Termination phase: Saturation
% 210.12/30.52  % (1778239)Time elapsed: 8.311 s
% 210.12/30.52  % (1778239)Peak memory usage: 229 MB
% 210.12/30.52  % (1778239)Instructions burned: 20140 (million)
% 210.12/30.52  % (1778251)Instruction limit reached! 
% 210.12/30.52  % (1778251)------------------------------
% 210.12/30.52  % (1778251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 210.12/30.52  % (1778251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.12/30.52  % (1778251)CaDiCaL version: 2.1.3
% 210.12/30.52  % (1778251)Termination reason: Instruction limit
% 210.12/30.52  % (1778251)Termination phase: Saturation
% 210.12/30.52  % (1778251)Time elapsed: 5.204 s
% 210.12/30.52  % (1778251)Peak memory usage: 72 MB
% 210.12/30.52  % (1778251)Instructions burned: 11405 (million)
% 210.12/30.52  % (1778272)dis+33_16_sil=32000:sac=on:random_seed=3748639996:i=15851:nm=0_2809 on theBenchmark for (2809ds/15851Mi)
% 210.12/30.52  % (1778273)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=3163885301:avsq=on:i=17627:add=on:amm=off_2809 on theBenchmark for (2809ds/17627Mi)
% 210.12/30.52  % (1778227)Instruction limit reached! 
% 210.12/30.52  % (1778227)------------------------------
% 210.12/30.52  % (1778227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 210.12/30.52  % (1778227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 210.12/30.52  % (1778227)CaDiCaL version: 2.1.3
% 210.12/30.52  % (1778227)Termination reason: Instruction limit
% 210.12/30.52  % (1778227)Termination phase: Saturation
% 210.12/30.52  % (1778227)Time elapsed: 10.963 s
% 210.12/30.52  % (1778227)Peak memory usage: 538 MB
% 210.12/30.52  % (1778227)Instructions burned: 22565 (million)
% 210.12/30.52  % (1778276)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=1498410766:s2a=on:i=53295_2804 on theBenchmark for (2804ds/53295Mi)
% 210.12/30.52  % (1778212)Instruction limit reached! 
% 232.47/33.61  % (1778212)------------------------------
% 232.47/33.61  % (1778212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 232.47/33.61  % (1778212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 232.47/33.61  % (1778212)CaDiCaL version: 2.1.3
% 232.47/33.61  % (1778212)Termination reason: Instruction limit
% 232.47/33.61  % (1778212)Termination phase: Saturation
% 232.47/33.61  % (1778212)Time elapsed: 13.464 s
% 232.47/33.61  % (1778212)Peak memory usage: 138 MB
% 232.47/33.61  % (1778212)Instructions burned: 29342 (million)
% 232.47/33.61  % (1778280)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=956184236:i=26857:ins=20_2803 on theBenchmark for (2803ds/26857Mi)
% 232.47/33.61  % (1778257)Instruction limit reached! 
% 232.47/33.61  % (1778257)------------------------------
% 232.47/33.61  % (1778257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 232.47/33.61  % (1778257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 232.47/33.61  % (1778257)CaDiCaL version: 2.1.3
% 232.47/33.61  % (1778257)Termination reason: Instruction limit
% 232.47/33.61  % (1778257)Termination phase: Saturation
% 232.47/33.61  % (1778257)Time elapsed: 6.669 s
% 232.47/33.61  % (1778257)Peak memory usage: 218 MB
% 232.47/33.61  % (1778257)Instructions burned: 14134 (million)
% 232.47/33.61  % (1778288)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=4153574325:i=28120:bs=on:fsr=off_2788 on theBenchmark for (2788ds/28120Mi)
% 232.47/33.61  % Exception at run slice level
% 232.47/33.61  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 232.47/33.61  % (1778292)fmb+10_1_sil=256000:fmbss=7:random_seed=485632430:fmbsr=1.6:i=182295_2778 on theBenchmark for (2778ds/182295Mi)
% 232.47/33.61  % Exception at run slice level
% 232.47/33.61  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 232.47/33.61  % (1778297)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3024309477:i=44625:gsp=on_2761 on theBenchmark for (2761ds/44625Mi)
% 232.47/33.61  % (1778297)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 232.47/33.61  % (1778297)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 232.47/33.61  % (1778272)Instruction limit reached! 
% 232.47/33.61  % (1778272)------------------------------
% 232.47/33.61  % (1778272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 232.47/33.61  % (1778272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 232.47/33.61  % (1778272)CaDiCaL version: 2.1.3
% 232.47/33.61  % (1778272)Termination reason: Instruction limit
% 232.47/33.61  % (1778272)Termination phase: Property scanning
% 232.47/33.61  % (1778272)Time elapsed: 7.123 s
% 232.47/33.61  % (1778272)Peak memory usage: 62 MB
% 232.47/33.61  % (1778272)Instructions burned: 15852 (million)
% 232.47/33.61  % (1778304)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=2625054362:i=160505_2737 on theBenchmark for (2737ds/160505Mi)
% 232.47/33.61  % Exception at run slice level
% 232.47/33.61  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 232.47/33.61  % (1778273)Instruction limit reached! 
% 232.47/33.61  % (1778273)------------------------------
% 232.47/33.61  % (1778273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 232.47/33.61  % (1778273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 232.47/33.61  % (1778273)CaDiCaL version: 2.1.3
% 232.47/33.61  % (1778273)Termination reason: Instruction limit
% 232.47/33.61  % (1778273)Termination phase: Saturation
% 232.47/33.61  % (1778273)Time elapsed: 7.324 s
% 232.47/33.61  % (1778273)Peak memory usage: 284 MB
% 232.47/33.61  % (1778273)Instructions burned: 17628 (million)
% 232.47/33.61  % (1778306)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=2181743619:fmbsr=1.3:i=225729_2735 on theBenchmark for (2735ds/225729Mi)
% 232.47/33.61  % (1778308)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=1395111243:fmbsr=2:i=185024:ins=7_2735 on theBenchmark for (2735ds/185024Mi)
% 232.47/33.61  % Exception at run slice level
% 232.47/33.61  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 232.47/33.61  % (1778312)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=708256481:rtra=on_2721 on theBenchmark for (2721ds/0Mi)
% 232.47/33.61  % Exception at run slice level
% 232.47/33.61  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 232.47/33.61  % (1778317)% WARNING: option uhcvi not known.
% 232.47/33.61  % (1778317)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=335228219:i=271062:add=off:rtra=on:rawr=on_2710 on theBenchmark for (2710ds/271062Mi)
% 161.07/35.17  % Exception at run slice level
% 161.07/35.17  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 161.07/35.17  % (1778319)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1405504115:i=176048:add=on:rtra=on:rawr=on_2709 on theBenchmark for (2709ds/176048Mi)
% 161.07/35.17  % Exception at run slice level
% 161.07/35.17  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 161.07/35.17  % (1778321)dis+10_1_sil=32000:si=on:sp=arity:random_seed=777510967:i=206:fgj=on:rtra=on_2705 on theBenchmark for (2705ds/206Mi)
% 161.07/35.17  % (1778321)Instruction limit reached! 
% 161.07/35.17  % (1778321)------------------------------
% 161.07/35.17  % (1778321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778321)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778321)Termination reason: Instruction limit
% 161.07/35.17  % (1778321)Termination phase: shuffling
% 161.07/35.17  % (1778321)Time elapsed: 0.057 s
% 161.07/35.17  % (1778321)Peak memory usage: 29 MB
% 161.07/35.17  % (1778321)Instructions burned: 209 (million)
% 161.07/35.17  % (1778323)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=1158551339:i=232:rtra=on_2704 on theBenchmark for (2704ds/232Mi)
% 161.07/35.17  % (1778323)Instruction limit reached! 
% 161.07/35.17  % (1778323)------------------------------
% 161.07/35.17  % (1778323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778323)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778323)Termination reason: Instruction limit
% 161.07/35.17  % (1778323)Termination phase: shuffling
% 161.07/35.17  % (1778323)Time elapsed: 0.063 s
% 161.07/35.17  % (1778323)Peak memory usage: 29 MB
% 161.07/35.17  % (1778323)Instructions burned: 234 (million)
% 161.07/35.17  % (1778325)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=1172642127:i=262:rtra=on_2704 on theBenchmark for (2704ds/262Mi)
% 161.07/35.17  % (1778317)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 161.07/35.17  % (1778325)Instruction limit reached! 
% 161.07/35.17  % (1778325)------------------------------
% 161.07/35.17  % (1778325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778325)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778325)Termination reason: Instruction limit
% 161.07/35.17  % (1778325)Termination phase: shuffling
% 161.07/35.17  % (1778325)Time elapsed: 0.126 s
% 161.07/35.17  % (1778325)Peak memory usage: 29 MB
% 161.07/35.17  % (1778325)Instructions burned: 262 (million)
% 161.07/35.17  % (1778329)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=3733390809:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2702 on theBenchmark for (2702ds/318Mi)
% 161.07/35.17  % (1778329)Instruction limit reached! 
% 161.07/35.17  % (1778329)------------------------------
% 161.07/35.17  % (1778329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778329)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778329)Termination reason: Instruction limit
% 161.07/35.17  % (1778329)Termination phase: shuffling
% 161.07/35.17  % (1778329)Time elapsed: 0.106 s
% 161.07/35.17  % (1778329)Peak memory usage: 30 MB
% 161.07/35.17  % (1778329)Instructions burned: 319 (million)
% 161.07/35.17  % (1778331)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=1784601678:i=1428:nm=2:rtra=on_2701 on theBenchmark for (2701ds/1428Mi)
% 161.07/35.17  % (1778331)Instruction limit reached! 
% 161.07/35.17  % (1778331)------------------------------
% 161.07/35.17  % (1778331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778331)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778331)Termination reason: Instruction limit
% 161.07/35.17  % (1778331)Termination phase: Naming
% 161.07/35.17  % (1778331)Time elapsed: 0.365 s
% 161.07/35.17  % (1778331)Peak memory usage: 43 MB
% 161.07/35.17  % (1778331)Instructions burned: 1430 (million)
% 161.07/35.17  % (1778333)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=278449046:i=262:bd=preordered:rtra=on:fsd=on_2697 on theBenchmark for (2697ds/262Mi)
% 161.07/35.17  % (1778333)Instruction limit reached! 
% 161.07/35.17  % (1778333)------------------------------
% 161.07/35.17  % (1778333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778333)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778333)Termination reason: Instruction limit
% 161.07/35.17  % (1778333)Termination phase: shuffling
% 161.07/35.17  % (1778333)Time elapsed: 0.070 s
% 161.07/35.17  % (1778333)Peak memory usage: 29 MB
% 161.07/35.17  % (1778333)Instructions burned: 264 (million)
% 161.07/35.17  % (1778335)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:si=on:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1470392388:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2696 on theBenchmark for (2696ds/1368Mi)
% 161.07/35.17  % (1778335)Instruction limit reached! 
% 161.07/35.17  % (1778335)------------------------------
% 161.07/35.17  % (1778335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778335)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778335)Termination reason: Instruction limit
% 161.07/35.17  % (1778335)Termination phase: SInE selection
% 161.07/35.17  % (1778335)Time elapsed: 0.339 s
% 161.07/35.17  % (1778335)Peak memory usage: 37 MB
% 161.07/35.17  % (1778335)Instructions burned: 1369 (million)
% 161.07/35.17  % (1778337)ott-21_1_sil=16000:si=on:fs=off:random_seed=784889541:i=360:av=off:fsr=off:rtra=on_2693 on theBenchmark for (2693ds/360Mi)
% 161.07/35.17  % (1778337)Instruction limit reached! 
% 161.07/35.17  % (1778337)------------------------------
% 161.07/35.17  % (1778337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778337)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778337)Termination reason: Instruction limit
% 161.07/35.17  % (1778337)Termination phase: shuffling
% 161.07/35.17  % (1778337)Time elapsed: 0.095 s
% 161.07/35.17  % (1778337)Peak memory usage: 31 MB
% 161.07/35.17  % (1778337)Instructions burned: 363 (million)
% 161.07/35.17  % (1778339)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3042427150:i=954:bd=all:rtra=on_2692 on theBenchmark for (2692ds/954Mi)
% 161.07/35.17  % (1778339)Instruction limit reached! 
% 161.07/35.17  % (1778339)------------------------------
% 161.07/35.17  % (1778339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778339)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778339)Termination reason: Instruction limit
% 161.07/35.17  % (1778339)Termination phase: Property scanning
% 161.07/35.17  % (1778339)Time elapsed: 0.256 s
% 161.07/35.17  % (1778339)Peak memory usage: 37 MB
% 161.07/35.17  % (1778339)Instructions burned: 959 (million)
% 161.07/35.17  % (1778343)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=908368645:fmbsr=1.3:i=1730:ins=25:rtra=on_2689 on theBenchmark for (2689ds/1730Mi)
% 161.07/35.17  % (1778317)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 161.07/35.17  % (1778343)Instruction limit reached! 
% 161.07/35.17  % (1778343)------------------------------
% 161.07/35.17  % (1778343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778343)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778343)Termination reason: Instruction limit
% 161.07/35.17  % (1778343)Termination phase: Preprocessing 3
% 161.07/35.17  % (1778343)Time elapsed: 0.843 s
% 161.07/35.17  % (1778343)Peak memory usage: 50 MB
% 161.07/35.17  % (1778343)Instructions burned: 1730 (million)
% 161.07/35.17  % (1778345)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=1746915985:i=2358:rtra=on_2680 on theBenchmark for (2680ds/2358Mi)
% 161.07/35.17  % (1778345)Instruction limit reached! 
% 161.07/35.17  % (1778345)------------------------------
% 161.07/35.17  % (1778345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778345)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778345)Termination reason: Instruction limit
% 161.07/35.17  % (1778345)Termination phase: Property scanning
% 161.07/35.17  % (1778345)Time elapsed: 1.394 s
% 161.07/35.17  % (1778345)Peak memory usage: 53 MB
% 161.07/35.17  % (1778345)Instructions burned: 2359 (million)
% 161.07/35.17  % (1778351)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=3495303858:i=1778:ins=1:rtra=on_2666 on theBenchmark for (2666ds/1778Mi)
% 161.07/35.17  % (1778288)Instruction limit reached! 
% 161.07/35.17  % (1778288)------------------------------
% 161.07/35.17  % (1778288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778288)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778288)Termination reason: Instruction limit
% 161.07/35.17  % (1778288)Termination phase: Saturation
% 161.07/35.17  % (1778288)Time elapsed: 12.366 s
% 161.07/35.17  % (1778288)Peak memory usage: 271 MB
% 161.07/35.17  % (1778288)Instructions burned: 28122 (million)
% 161.07/35.17  % (1778353)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:si=on:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2744966027:avsq=on:s2a=on:i=1384:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rtra=on:rawr=on_2663 on theBenchmark for (2663ds/1384Mi)
% 161.07/35.17  % (1778351)Instruction limit reached! 
% 161.07/35.17  % (1778351)------------------------------
% 161.07/35.17  % (1778351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778351)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778351)Termination reason: Instruction limit
% 161.07/35.17  % (1778351)Termination phase: Preprocessing 3
% 161.07/35.17  % (1778351)Time elapsed: 0.894 s
% 161.07/35.17  % (1778351)Peak memory usage: 51 MB
% 161.07/35.17  % (1778351)Instructions burned: 1778 (million)
% 161.07/35.17  % (1778357)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=3764195119:i=1758:kws=inv_precedence:fsr=off:rtra=on_2657 on theBenchmark for (2657ds/1758Mi)
% 161.07/35.17  % (1778353)Instruction limit reached! 
% 161.07/35.17  % (1778353)------------------------------
% 161.07/35.17  % (1778353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 161.07/35.17  % (1778353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 161.07/35.17  % (1778353)CaDiCaL version: 2.1.3
% 161.07/35.17  % (1778353)Termination reason: Instruction limit
% 161.07/35.17  % (1778353)Termination phase: SInE selection
% 161.07/35.17  % (1778353)Time elapsed: 0.740 s
% 161.07/35.17  % (1778353)Peak memory usage: 37 MB
% 161.07/35.17  % (1778353)Instructions burned: 1385 (million)
% 161.07/35.17  % (1778359)fmb+10_1_sil=64000:si=on:random_seed=2828369713:i=44122:nm=2:rtra=on:gsp=on_2656 on theBenchmark for (2656ds/44122Mi)
% 161.07/35.17  % (1778276) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1778128-1778276"...
% 161.07/35.17  % (1778276)...printing done.
% 161.07/35.17  % (1778276)Refutation found. Thanks to Tanya!
% 161.07/35.17  % SZS status Theorem for theBenchmark
% 161.07/35.17  % SZS output start Proof for theBenchmark
% See solution above
% 242.77/35.21  % (1778276)------------------------------
% 242.77/35.21  % (1778276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 242.77/35.21  % (1778276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 242.77/35.21  % (1778276)CaDiCaL version: 2.1.3
% 242.77/35.21  % (1778276)Termination reason: Refutation
% 242.77/35.21  % (1778276)Time elapsed: 15.088 s
% 242.77/35.21  % (1778276)Peak memory usage: 315 MB
% 242.77/35.21  % (1778276)Instructions burned: 34931 (million)
% 242.77/35.21  % (1778128)Success in time 34.91 s
% 242.77/35.21  % Vampire exiting
%------------------------------------------------------------------------------