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

%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP221^3 : 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 : n003.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 08:11:16 AM UTC 2026

% Result   : Theorem 64.04s 15.96s
% Output   : Refutation 64.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   90 (  54 unt;   0 typ;   4 def)
%            Number of atoms       :  226 (  79 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives : 2538 (  31   ~;  32   |;   0   &;2465   @)
%                                         (   4 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :   85 (  84 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 4651 (4648 usr;  65 con; 0-8 aty)
%            Number of variables   :  503 (   0 sgn   0   !;   0   ?; 503   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    produc3368934014287244435at_num: $tType ).

thf(type_def_6,type,
    produc4471711990508489141at_nat: $tType ).

thf(type_def_7,type,
    set_fi4554929511873752355omplex: $tType ).

thf(type_def_8,type,
    list_P7413028617227757229T_VEBT: $tType ).

thf(type_def_9,type,
    produc2963631642982155120at_num: $tType ).

thf(type_def_10,type,
    produc7248412053542808358at_nat: $tType ).

thf(type_def_11,type,
    set_fi7789364187291644575l_real: $tType ).

thf(type_def_12,type,
    filter6041513312241820739omplex: $tType ).

thf(type_def_13,type,
    list_P7037539587688870467BT_nat: $tType ).

thf(type_def_14,type,
    list_P4547456442757143711BT_int: $tType ).

thf(type_def_15,type,
    list_P5647936690300460905T_VEBT: $tType ).

thf(type_def_16,type,
    produc8243902056947475879T_VEBT: $tType ).

thf(type_def_17,type,
    set_Pr5085853215250843933omplex: $tType ).

thf(type_def_18,type,
    produc8923325533196201883nteger: $tType ).

thf(type_def_19,type,
    list_P3126845725202233233VEBT_o: $tType ).

thf(type_def_20,type,
    list_P7495141550334521929T_VEBT: $tType ).

thf(type_def_21,type,
    filter2146258269922977983l_real: $tType ).

thf(type_def_22,type,
    list_P8526636022914148096eger_o: $tType ).

thf(type_def_23,type,
    option4927543243414619207at_nat: $tType ).

thf(type_def_24,type,
    set_Pr6218003697084177305l_real: $tType ).

thf(type_def_25,type,
    list_P3744719386663036955um_num: $tType ).

thf(type_def_26,type,
    list_P6011104703257516679at_nat: $tType ).

thf(type_def_27,type,
    produc9072475918466114483BT_nat: $tType ).

thf(type_def_28,type,
    produc4894624898956917775BT_int: $tType ).

thf(type_def_29,type,
    set_Pr1261947904930325089at_nat: $tType ).

thf(type_def_30,type,
    set_Pr958786334691620121nt_int: $tType ).

thf(type_def_31,type,
    produc4411394909380815293omplex: $tType ).

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

thf(type_def_33,type,
    list_P7333126701944960589_nat_o: $tType ).

thf(type_def_34,type,
    list_P6285523579766656935_o_nat: $tType ).

thf(type_def_35,type,
    list_P3795440434834930179_o_int: $tType ).

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

thf(type_def_37,type,
    produc334124729049499915VEBT_o: $tType ).

thf(type_def_38,type,
    produc2504756804600209347T_VEBT: $tType ).

thf(type_def_39,type,
    produc6271795597528267376eger_o: $tType ).

thf(type_def_40,type,
    produc2422161461964618553l_real: $tType ).

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

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

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

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

thf(type_def_45,type,
    list_P4002435161011370285od_o_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(type_def_89,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,
    binomial: nat > nat > nat ).

thf(func_def_9,type,
    gbinomial_complex: complex > nat > complex ).

thf(func_def_10,type,
    gbinomial_int: int > nat > int ).

thf(func_def_11,type,
    gbinomial_nat: nat > nat > nat ).

thf(func_def_12,type,
    gbinomial_rat: rat > nat > rat ).

thf(func_def_13,type,
    gbinomial_real: real > nat > real ).

thf(func_def_14,type,
    bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_15,type,
    bit_and_not_num: num > num > option_num ).

thf(func_def_16,type,
    bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_17,type,
    bit_concat_bit: nat > int > int > int ).

thf(func_def_18,type,
    bit_or_not_num_neg: num > num > num ).

thf(func_def_19,type,
    bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_20,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

thf(func_def_21,type,
    bit_ri7919022796975470100ot_int: int > int ).

thf(func_def_22,type,
    bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).

thf(func_def_23,type,
    bit_ri631733984087533419it_int: nat > int > int ).

thf(func_def_24,type,
    bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).

thf(func_def_25,type,
    bit_se725231765392027082nd_int: int > int > int ).

thf(func_def_26,type,
    bit_se727722235901077358nd_nat: nat > nat > nat ).

thf(func_def_27,type,
    bit_se8568078237143864401it_int: nat > int > int ).

thf(func_def_28,type,
    bit_se8570568707652914677it_nat: nat > nat > nat ).

thf(func_def_29,type,
    bit_se1345352211410354436nteger: nat > code_integer > code_integer ).

thf(func_def_30,type,
    bit_se2159334234014336723it_int: nat > int > int ).

thf(func_def_31,type,
    bit_se2161824704523386999it_nat: nat > nat > nat ).

thf(func_def_32,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

thf(func_def_33,type,
    bit_se2000444600071755411sk_int: nat > int ).

thf(func_def_34,type,
    bit_se2002935070580805687sk_nat: nat > nat ).

thf(func_def_35,type,
    bit_se1409905431419307370or_int: int > int > int ).

thf(func_def_36,type,
    bit_se1412395901928357646or_nat: nat > nat > nat ).

thf(func_def_37,type,
    bit_se7788150548672797655nteger: nat > code_integer > code_integer ).

thf(func_def_38,type,
    bit_se545348938243370406it_int: nat > int > int ).

thf(func_def_39,type,
    bit_se547839408752420682it_nat: nat > nat > nat ).

thf(func_def_40,type,
    bit_se2793503036327961859nteger: nat > code_integer > code_integer ).

thf(func_def_41,type,
    bit_se7879613467334960850it_int: nat > int > int ).

thf(func_def_42,type,
    bit_se7882103937844011126it_nat: nat > nat > nat ).

thf(func_def_43,type,
    bit_se1745604003318907178nteger: nat > code_integer > code_integer ).

thf(func_def_44,type,
    bit_se2923211474154528505it_int: nat > int > int ).

thf(func_def_45,type,
    bit_se2925701944663578781it_nat: nat > nat > nat ).

thf(func_def_46,type,
    bit_se8260200283734997820nteger: nat > code_integer > code_integer ).

thf(func_def_47,type,
    bit_se4203085406695923979it_int: nat > int > int ).

thf(func_def_48,type,
    bit_se4205575877204974255it_nat: nat > nat > nat ).

thf(func_def_49,type,
    bit_se3222712562003087583nteger: code_integer > code_integer > code_integer ).

thf(func_def_50,type,
    bit_se6526347334894502574or_int: int > int > int ).

thf(func_def_51,type,
    bit_se6528837805403552850or_nat: nat > nat > nat ).

thf(func_def_52,type,
    bit_se9216721137139052372nteger: code_integer > nat > $o ).

thf(func_def_53,type,
    bit_se1146084159140164899it_int: int > nat > $o ).

thf(func_def_54,type,
    bit_se1148574629649215175it_nat: nat > nat > $o ).

thf(func_def_55,type,
    bit_take_bit_num: nat > num > option_num ).

thf(func_def_56,type,
    bit_un1837492267222099188nd_num: num > num > option_num ).

thf(func_def_57,type,
    bit_un5425074673868309765um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_58,type,
    bit_un6178654185764691216or_num: num > num > option_num ).

thf(func_def_59,type,
    bit_un3595099601533988841um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_60,type,
    bit_un7362597486090784418nd_num: num > num > option_num ).

thf(func_def_61,type,
    bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_62,type,
    bit_un2480387367778600638or_num: num > num > option_num ).

thf(func_def_63,type,
    bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).

thf(func_def_64,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

thf(func_def_65,type,
    code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_66,type,
    code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_67,type,
    code_int_of_integer: code_integer > int ).

thf(func_def_68,type,
    code_integer_of_int: int > code_integer ).

thf(func_def_69,type,
    code_integer_of_num: num > code_integer ).

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

thf(func_def_71,type,
    code_num_of_integer: code_integer > num ).

thf(func_def_72,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

thf(func_def_73,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

thf(func_def_74,type,
    comple4887499456419720421f_real: set_real > real ).

thf(func_def_75,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

thf(func_def_76,type,
    complete_Sup_Sup_int: set_int > int ).

thf(func_def_77,type,
    comple1385675409528146559p_real: set_real > real ).

thf(func_def_78,type,
    comple7399068483239264473et_nat: set_set_nat > set_nat ).

thf(func_def_79,type,
    arg: complex > real ).

thf(func_def_80,type,
    cis: real > complex ).

thf(func_def_81,type,
    cnj: complex > complex ).

thf(func_def_82,type,
    complex2: real > real > complex ).

thf(func_def_83,type,
    im: complex > real ).

thf(func_def_84,type,
    re: complex > real ).

thf(func_def_85,type,
    csqrt: complex > complex ).

thf(func_def_86,type,
    imaginary_unit: complex ).

thf(func_def_87,type,
    rcis: real > real > complex ).

thf(func_def_88,type,
    differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).

thf(func_def_89,type,
    has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).

thf(func_def_90,type,
    has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).

thf(func_def_91,type,
    adjust_div: product_prod_int_int > int ).

thf(func_def_92,type,
    adjust_mod: int > int > int ).

thf(func_def_93,type,
    divmod_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_94,type,
    eucl_rel_int: int > int > product_prod_int_int > $o ).

thf(func_def_95,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

thf(func_def_96,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

thf(func_def_97,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

thf(func_def_98,type,
    unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).

thf(func_def_99,type,
    unique5052692396658037445od_int: num > num > product_prod_int_int ).

thf(func_def_100,type,
    unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).

thf(func_def_101,type,
    unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_102,type,
    unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).

thf(func_def_103,type,
    unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_104,type,
    comm_s8582702949713902594nteger: code_integer > nat > code_integer ).

thf(func_def_105,type,
    comm_s2602460028002588243omplex: complex > nat > complex ).

thf(func_def_106,type,
    comm_s4660882817536571857er_int: int > nat > int ).

thf(func_def_107,type,
    comm_s4663373288045622133er_nat: nat > nat > nat ).

thf(func_def_108,type,
    comm_s4028243227959126397er_rat: rat > nat > rat ).

thf(func_def_109,type,
    comm_s7457072308508201937r_real: real > nat > real ).

thf(func_def_110,type,
    semiri3624122377584611663nteger: nat > code_integer ).

thf(func_def_111,type,
    semiri5044797733671781792omplex: nat > complex ).

thf(func_def_112,type,
    semiri4449623510593786356d_enat: nat > extended_enat ).

thf(func_def_113,type,
    semiri1406184849735516958ct_int: nat > int ).

thf(func_def_114,type,
    semiri1408675320244567234ct_nat: nat > nat ).

thf(func_def_115,type,
    semiri773545260158071498ct_rat: nat > rat ).

thf(func_def_116,type,
    semiri2265585572941072030t_real: nat > real ).

thf(func_def_117,type,
    invers8013647133539491842omplex: complex > complex ).

thf(func_def_118,type,
    inverse_inverse_rat: rat > rat ).

thf(func_def_119,type,
    inverse_inverse_real: real > real ).

thf(func_def_120,type,
    at_bot_real: filter_real ).

thf(func_def_121,type,
    at_top_nat: filter_nat ).

thf(func_def_122,type,
    at_top_real: filter_real ).

thf(func_def_123,type,
    eventually_nat: ( nat > $o ) > filter_nat > $o ).

thf(func_def_124,type,
    eventually_real: ( real > $o ) > filter_real > $o ).

thf(func_def_125,type,
    filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).

thf(func_def_126,type,
    filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).

thf(func_def_127,type,
    filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).

thf(func_def_128,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

thf(func_def_129,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

thf(func_def_130,type,
    finite_card_o: set_o > nat ).

thf(func_def_131,type,
    finite_card_complex: set_complex > nat ).

thf(func_def_132,type,
    finite_card_int: set_int > nat ).

thf(func_def_133,type,
    finite_card_list_nat: set_list_nat > nat ).

thf(func_def_134,type,
    finite_card_nat: set_nat > nat ).

thf(func_def_135,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

thf(func_def_136,type,
    finite_card_char: set_char > nat ).

thf(func_def_137,type,
    finite3207457112153483333omplex: set_complex > $o ).

thf(func_def_138,type,
    finite_finite_int: set_int > $o ).

thf(func_def_139,type,
    finite_finite_nat: set_nat > $o ).

thf(func_def_140,type,
    bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).

thf(func_def_141,type,
    bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).

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

thf(func_def_143,type,
    comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).

thf(func_def_144,type,
    comp_nat_real_nat: ( nat > real ) > ( nat > nat ) > nat > real ).

thf(func_def_145,type,
    id_o: $o > $o ).

thf(func_def_146,type,
    id_nat: nat > nat ).

thf(func_def_147,type,
    inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).

thf(func_def_148,type,
    inj_on_nat_char: ( nat > char ) > set_nat > $o ).

thf(func_def_149,type,
    inj_on_real_real: ( real > real ) > set_real > $o ).

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,
    gcd_Gcd_int: set_int > int ).

thf(func_def_154,type,
    gcd_Gcd_nat: set_nat > nat ).

thf(func_def_155,type,
    bezw: nat > nat > product_prod_int_int ).

thf(func_def_156,type,
    bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_157,type,
    gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).

thf(func_def_158,type,
    gcd_gcd_int: int > int > int ).

thf(func_def_159,type,
    gcd_gcd_nat: nat > nat > nat ).

thf(func_def_160,type,
    gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_161,type,
    abs_abs_Code_integer: code_integer > code_integer ).

thf(func_def_162,type,
    abs_abs_complex: complex > complex ).

thf(func_def_163,type,
    abs_abs_int: int > int ).

thf(func_def_164,type,
    abs_abs_rat: rat > rat ).

thf(func_def_165,type,
    abs_abs_real: real > real ).

thf(func_def_166,type,
    minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).

thf(func_def_167,type,
    minus_minus_complex: complex > complex > complex ).

thf(func_def_168,type,
    minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_169,type,
    minus_minus_int: int > int > int ).

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

thf(func_def_171,type,
    minus_minus_rat: rat > rat > rat ).

thf(func_def_172,type,
    minus_minus_real: real > real > real ).

thf(func_def_173,type,
    minus_811609699411566653omplex: set_complex > set_complex > set_complex ).

thf(func_def_174,type,
    minus_minus_set_int: set_int > set_int > set_int ).

thf(func_def_175,type,
    minus_minus_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_176,type,
    minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_177,type,
    minus_minus_set_real: set_real > set_real > set_real ).

thf(func_def_178,type,
    one_one_Code_integer: code_integer ).

thf(func_def_179,type,
    one_one_complex: complex ).

thf(func_def_180,type,
    one_on7984719198319812577d_enat: extended_enat ).

thf(func_def_181,type,
    one_one_int: int ).

thf(func_def_182,type,
    one_one_nat: nat ).

thf(func_def_183,type,
    one_one_rat: rat ).

thf(func_def_184,type,
    one_one_real: real ).

thf(func_def_185,type,
    plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).

thf(func_def_186,type,
    plus_plus_complex: complex > complex > complex ).

thf(func_def_187,type,
    plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_188,type,
    plus_plus_int: int > int > int ).

thf(func_def_189,type,
    plus_plus_nat: nat > nat > nat ).

thf(func_def_190,type,
    plus_plus_num: num > num > num ).

thf(func_def_191,type,
    plus_plus_rat: rat > rat > rat ).

thf(func_def_192,type,
    plus_plus_real: real > real > real ).

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

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

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

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

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

thf(func_def_198,type,
    times_3573771949741848930nteger: code_integer > code_integer > code_integer ).

thf(func_def_199,type,
    times_times_complex: complex > complex > complex ).

thf(func_def_200,type,
    times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_201,type,
    times_times_int: int > int > int ).

thf(func_def_202,type,
    times_times_nat: nat > nat > nat ).

thf(func_def_203,type,
    times_times_num: num > num > num ).

thf(func_def_204,type,
    times_times_rat: rat > rat > rat ).

thf(func_def_205,type,
    times_times_real: real > real > real ).

thf(func_def_206,type,
    uminus1351360451143612070nteger: code_integer > code_integer ).

thf(func_def_207,type,
    uminus1482373934393186551omplex: complex > complex ).

thf(func_def_208,type,
    uminus_uminus_int: int > int ).

thf(func_def_209,type,
    uminus_uminus_rat: rat > rat ).

thf(func_def_210,type,
    uminus_uminus_real: real > real ).

thf(func_def_211,type,
    uminus1532241313380277803et_int: set_int > set_int ).

thf(func_def_212,type,
    zero_z3403309356797280102nteger: code_integer ).

thf(func_def_213,type,
    zero_zero_complex: complex ).

thf(func_def_214,type,
    zero_z5237406670263579293d_enat: extended_enat ).

thf(func_def_215,type,
    zero_zero_int: int ).

thf(func_def_216,type,
    zero_zero_nat: nat ).

thf(func_def_217,type,
    zero_zero_rat: rat ).

thf(func_def_218,type,
    zero_zero_real: real ).

thf(func_def_219,type,
    groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).

thf(func_def_220,type,
    groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_221,type,
    groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).

thf(func_def_222,type,
    groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).

thf(func_def_223,type,
    groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).

thf(func_def_224,type,
    groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).

thf(func_def_225,type,
    groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).

thf(func_def_226,type,
    groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).

thf(func_def_227,type,
    groups4538972089207619220nt_int: ( int > int ) > set_int > int ).

thf(func_def_228,type,
    groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).

thf(func_def_229,type,
    groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).

thf(func_def_230,type,
    groups8778361861064173332t_real: ( int > real ) > set_int > real ).

thf(func_def_231,type,
    groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).

thf(func_def_232,type,
    groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_233,type,
    groups7108830773950497114d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).

thf(func_def_234,type,
    groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).

thf(func_def_235,type,
    groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_236,type,
    groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_237,type,
    groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).

thf(func_def_238,type,
    groups6381953495645901045omplex: ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > complex ).

thf(func_def_239,type,
    groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).

thf(func_def_240,type,
    groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).

thf(func_def_241,type,
    groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).

thf(func_def_242,type,
    groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).

thf(func_def_243,type,
    groups1932886352136224148al_int: ( real > int ) > set_real > int ).

thf(func_def_244,type,
    groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).

thf(func_def_245,type,
    groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_246,type,
    groups8097168146408367636l_real: ( real > real ) > set_real > real ).

thf(func_def_247,type,
    groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).

thf(func_def_248,type,
    groups766887009212190081x_real: ( complex > real ) > set_complex > real ).

thf(func_def_249,type,
    groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).

thf(func_def_250,type,
    groups1705073143266064639nt_int: ( int > int ) > set_int > int ).

thf(func_def_251,type,
    groups2316167850115554303t_real: ( int > real ) > set_int > real ).

thf(func_def_252,type,
    groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).

thf(func_def_253,type,
    groups705719431365010083at_int: ( nat > int ) > set_nat > int ).

thf(func_def_254,type,
    groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).

thf(func_def_255,type,
    groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).

thf(func_def_256,type,
    groups129246275422532515t_real: ( nat > real ) > set_nat > real ).

thf(func_def_257,type,
    groups713298508707869441omplex: ( real > complex ) > set_real > complex ).

thf(func_def_258,type,
    groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).

thf(func_def_259,type,
    groups1681761925125756287l_real: ( real > real ) > set_real > real ).

thf(func_def_260,type,
    groups3417619833198082522nteger: ( $o > code_integer ) > code_integer > list_o > code_integer ).

thf(func_def_261,type,
    groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).

thf(func_def_262,type,
    groups9119017779487936845_o_nat: ( $o > nat ) > nat > list_o > nat ).

thf(func_def_263,type,
    groups4561878855575611511st_nat: list_nat > nat ).

thf(func_def_264,type,
    the_int: ( int > $o ) > int ).

thf(func_def_265,type,
    the_real: ( real > $o ) > real ).

thf(func_def_266,type,
    if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).

thf(func_def_267,type,
    if_nat_int_int: $o > ( nat > int > int ) > ( nat > int > int ) > nat > int > int ).

thf(func_def_268,type,
    if_nat_nat_nat: $o > ( nat > nat > nat ) > ( nat > nat > nat ) > nat > nat > nat ).

thf(func_def_269,type,
    if_Code_integer: $o > code_integer > code_integer > code_integer ).

thf(func_def_270,type,
    if_complex: $o > complex > complex > complex ).

thf(func_def_271,type,
    if_int: $o > int > int > int ).

thf(func_def_272,type,
    if_list_int: $o > list_int > list_int > list_int ).

thf(func_def_273,type,
    if_list_nat: $o > list_nat > list_nat > list_nat ).

thf(func_def_274,type,
    if_nat: $o > nat > nat > nat ).

thf(func_def_275,type,
    if_num: $o > num > num > num ).

thf(func_def_276,type,
    if_option_num: $o > option_num > option_num > option_num ).

thf(func_def_277,type,
    if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).

thf(func_def_278,type,
    if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_279,type,
    if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).

thf(func_def_280,type,
    if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_281,type,
    if_rat: $o > rat > rat > rat ).

thf(func_def_282,type,
    if_real: $o > real > real > real ).

thf(func_def_283,type,
    if_set_int: $o > set_int > set_int > set_int ).

thf(func_def_284,type,
    abs_Integ: product_prod_nat_nat > int ).

thf(func_def_285,type,
    rep_Integ: int > product_prod_nat_nat ).

thf(func_def_286,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

thf(func_def_287,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

thf(func_def_288,type,
    nat2: int > nat ).

thf(func_def_289,type,
    ring_11222124179247155820nteger: set_Code_integer ).

thf(func_def_290,type,
    ring_1_Ints_complex: set_complex ).

thf(func_def_291,type,
    ring_1_Ints_int: set_int ).

thf(func_def_292,type,
    ring_1_Ints_rat: set_rat ).

thf(func_def_293,type,
    ring_1_Ints_real: set_real ).

thf(func_def_294,type,
    ring_18347121197199848620nteger: int > code_integer ).

thf(func_def_295,type,
    ring_17405671764205052669omplex: int > complex ).

thf(func_def_296,type,
    ring_1_of_int_int: int > int ).

thf(func_def_297,type,
    ring_1_of_int_rat: int > rat ).

thf(func_def_298,type,
    ring_1_of_int_real: int > real ).

thf(func_def_299,type,
    inf_in1870772243966228564d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_300,type,
    inf_inf_nat: nat > nat > nat ).

thf(func_def_301,type,
    semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).

thf(func_def_302,type,
    sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_303,type,
    sup_sup_nat: nat > nat > nat ).

thf(func_def_304,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(func_def_305,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

thf(func_def_306,type,
    bfun_nat_real: ( nat > real ) > filter_nat > $o ).

thf(func_def_307,type,
    at_infinity_real: filter_real ).

thf(func_def_308,type,
    append_int: list_int > list_int > list_int ).

thf(func_def_309,type,
    append_nat: list_nat > list_nat > list_nat ).

thf(func_def_310,type,
    concat_o: list_list_o > list_o ).

thf(func_def_311,type,
    concat_int: list_list_int > list_int ).

thf(func_def_312,type,
    concat_nat: list_list_nat > list_nat ).

thf(func_def_313,type,
    concat_VEBT_VEBT: list_list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_314,type,
    distinct_int: list_int > $o ).

thf(func_def_315,type,
    distinct_nat: list_nat > $o ).

thf(func_def_316,type,
    drop_nat: nat > list_nat > list_nat ).

thf(func_def_317,type,
    linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).

thf(func_def_318,type,
    linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_319,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

thf(func_def_320,type,
    cons_int: int > list_int > list_int ).

thf(func_def_321,type,
    cons_nat: nat > list_nat > list_nat ).

thf(func_def_322,type,
    nil_int: list_int ).

thf(func_def_323,type,
    nil_nat: list_nat ).

thf(func_def_324,type,
    hd_nat: list_nat > nat ).

thf(func_def_325,type,
    map_nat_nat: ( nat > nat ) > list_nat > list_nat ).

thf(func_def_326,type,
    set_o2: list_o > set_o ).

thf(func_def_327,type,
    set_complex2: list_complex > set_complex ).

thf(func_def_328,type,
    set_int2: list_int > set_int ).

thf(func_def_329,type,
    set_list_o2: list_list_o > set_list_o ).

thf(func_def_330,type,
    set_list_int2: list_list_int > set_list_int ).

thf(func_def_331,type,
    set_list_nat2: list_list_nat > set_list_nat ).

thf(func_def_332,type,
    set_list_VEBT_VEBT2: list_list_VEBT_VEBT > set_list_VEBT_VEBT ).

thf(func_def_333,type,
    set_nat2: list_nat > set_nat ).

thf(func_def_334,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_335,type,
    set_real2: list_real > set_real ).

thf(func_def_336,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

thf(func_def_337,type,
    size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).

thf(func_def_338,type,
    tl_nat: list_nat > list_nat ).

thf(func_def_339,type,
    nth_o: list_o > nat > $o ).

thf(func_def_340,type,
    nth_Code_integer: list_Code_integer > nat > code_integer ).

thf(func_def_341,type,
    nth_complex: list_complex > nat > complex ).

thf(func_def_342,type,
    nth_int: list_int > nat > int ).

thf(func_def_343,type,
    nth_list_nat: list_list_nat > nat > list_nat ).

thf(func_def_344,type,
    nth_nat: list_nat > nat > nat ).

thf(func_def_345,type,
    nth_num: list_num > nat > num ).

thf(func_def_346,type,
    nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).

thf(func_def_347,type,
    nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).

thf(func_def_348,type,
    nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).

thf(func_def_349,type,
    nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).

thf(func_def_350,type,
    nth_Pr8522763379788166057eger_o: list_P8526636022914148096eger_o > nat > produc6271795597528267376eger_o ).

thf(func_def_351,type,
    nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).

thf(func_def_352,type,
    nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num ).

thf(func_def_353,type,
    nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).

thf(func_def_354,type,
    nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).

thf(func_def_355,type,
    nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).

thf(func_def_356,type,
    nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).

thf(func_def_357,type,
    nth_real: list_real > nat > real ).

thf(func_def_358,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_359,type,
    product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).

thf(func_def_360,type,
    product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).

thf(func_def_361,type,
    product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).

thf(func_def_362,type,
    product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).

thf(func_def_363,type,
    produc3607205314601156340eger_o: list_Code_integer > list_o > list_P8526636022914148096eger_o ).

thf(func_def_364,type,
    product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).

thf(func_def_365,type,
    produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).

thf(func_def_366,type,
    product_num_num: list_num > list_num > list_P3744719386663036955um_num ).

thf(func_def_367,type,
    product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).

thf(func_def_368,type,
    produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).

thf(func_def_369,type,
    produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).

thf(func_def_370,type,
    produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).

thf(func_def_371,type,
    remdups_nat: list_nat > list_nat ).

thf(func_def_372,type,
    replicate_o: nat > $o > list_o ).

thf(func_def_373,type,
    replicate_complex: nat > complex > list_complex ).

thf(func_def_374,type,
    replicate_int: nat > int > list_int ).

thf(func_def_375,type,
    replicate_nat: nat > nat > list_nat ).

thf(func_def_376,type,
    replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).

thf(func_def_377,type,
    replicate_real: nat > real > list_real ).

thf(func_def_378,type,
    replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_379,type,
    sorted_wrt_int: ( int > int > $o ) > list_int > $o ).

thf(func_def_380,type,
    sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).

thf(func_def_381,type,
    subseqs_o: list_o > list_list_o ).

thf(func_def_382,type,
    subseqs_int: list_int > list_list_int ).

thf(func_def_383,type,
    subseqs_nat: list_nat > list_list_nat ).

thf(func_def_384,type,
    subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).

thf(func_def_385,type,
    take_nat: nat > list_nat > list_nat ).

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

thf(func_def_387,type,
    upto: int > int > list_int ).

thf(func_def_388,type,
    upto_aux: int > int > list_int > list_int ).

thf(func_def_389,type,
    upto_rel: product_prod_int_int > product_prod_int_int > $o ).

thf(func_def_390,type,
    suc: nat > nat ).

thf(func_def_391,type,
    compow_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_392,type,
    case_nat_o: $o > ( nat > $o ) > nat > $o ).

thf(func_def_393,type,
    case_nat_nat: nat > ( nat > nat ) > nat > nat ).

thf(func_def_394,type,
    case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).

thf(func_def_395,type,
    pred: nat > nat ).

thf(func_def_396,type,
    semiri4939895301339042750nteger: nat > code_integer ).

thf(func_def_397,type,
    semiri8010041392384452111omplex: nat > complex ).

thf(func_def_398,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

thf(func_def_399,type,
    semiri1314217659103216013at_int: nat > int ).

thf(func_def_400,type,
    semiri1316708129612266289at_nat: nat > nat ).

thf(func_def_401,type,
    semiri681578069525770553at_rat: nat > rat ).

thf(func_def_402,type,
    semiri5074537144036343181t_real: nat > real ).

thf(func_def_403,type,
    semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).

thf(func_def_404,type,
    semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).

thf(func_def_405,type,
    semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).

thf(func_def_406,type,
    semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).

thf(func_def_407,type,
    semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).

thf(func_def_408,type,
    size_size_list_o: list_o > nat ).

thf(func_def_409,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

thf(func_def_410,type,
    size_s3451745648224563538omplex: list_complex > nat ).

thf(func_def_411,type,
    size_size_list_int: list_int > nat ).

thf(func_def_412,type,
    size_s2710708370519433104list_o: list_list_o > nat ).

thf(func_def_413,type,
    size_s533118279054570080st_int: list_list_int > nat ).

thf(func_def_414,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

thf(func_def_415,type,
    size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).

thf(func_def_416,type,
    size_size_list_nat: list_nat > nat ).

thf(func_def_417,type,
    size_size_list_num: list_num > nat ).

thf(func_def_418,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

thf(func_def_419,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

thf(func_def_420,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

thf(func_def_421,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

thf(func_def_422,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

thf(func_def_423,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

thf(func_def_424,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

thf(func_def_425,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

thf(func_def_426,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

thf(func_def_427,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

thf(func_def_428,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

thf(func_def_429,type,
    size_size_list_real: list_real > nat ).

thf(func_def_430,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

thf(func_def_431,type,
    size_size_num: num > nat ).

thf(func_def_432,type,
    size_size_option_num: option_num > nat ).

thf(func_def_433,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

thf(func_def_434,type,
    size_size_VEBT_VEBT: vEBT_VEBT > nat ).

thf(func_def_435,type,
    nat_list_encode: list_nat > nat ).

thf(func_def_436,type,
    nat_list_encode_rel: list_nat > list_nat > $o ).

thf(func_def_437,type,
    nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).

thf(func_def_438,type,
    nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_439,type,
    nat_prod_encode: product_prod_nat_nat > nat ).

thf(func_def_440,type,
    nat_set_decode: nat > set_nat ).

thf(func_def_441,type,
    nat_set_encode: set_nat > nat ).

thf(func_def_442,type,
    nat_triangle: nat > nat ).

thf(func_def_443,type,
    root: nat > real > real ).

thf(func_def_444,type,
    sqrt: real > real ).

thf(func_def_445,type,
    bitM: num > num ).

thf(func_def_446,type,
    inc: num > num ).

thf(func_def_447,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

thf(func_def_448,type,
    neg_nu7009210354673126013omplex: complex > complex ).

thf(func_def_449,type,
    neg_numeral_dbl_int: int > int ).

thf(func_def_450,type,
    neg_numeral_dbl_rat: rat > rat ).

thf(func_def_451,type,
    neg_numeral_dbl_real: real > real ).

thf(func_def_452,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

thf(func_def_453,type,
    neg_nu6511756317524482435omplex: complex > complex ).

thf(func_def_454,type,
    neg_nu3811975205180677377ec_int: int > int ).

thf(func_def_455,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

thf(func_def_456,type,
    neg_nu6075765906172075777c_real: real > real ).

thf(func_def_457,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

thf(func_def_458,type,
    neg_nu8557863876264182079omplex: complex > complex ).

thf(func_def_459,type,
    neg_nu5851722552734809277nc_int: int > int ).

thf(func_def_460,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

thf(func_def_461,type,
    neg_nu8295874005876285629c_real: real > real ).

thf(func_def_462,type,
    neg_numeral_sub_int: num > num > int ).

thf(func_def_463,type,
    bit0: num > num ).

thf(func_def_464,type,
    bit1: num > num ).

thf(func_def_465,type,
    one: num ).

thf(func_def_466,type,
    case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).

thf(func_def_467,type,
    size_num: num > nat ).

thf(func_def_468,type,
    num_of_nat: nat > num ).

thf(func_def_469,type,
    numera6620942414471956472nteger: num > code_integer ).

thf(func_def_470,type,
    numera6690914467698888265omplex: num > complex ).

thf(func_def_471,type,
    numera1916890842035813515d_enat: num > extended_enat ).

thf(func_def_472,type,
    numeral_numeral_int: num > int ).

thf(func_def_473,type,
    numeral_numeral_nat: num > nat ).

thf(func_def_474,type,
    numeral_numeral_rat: num > rat ).

thf(func_def_475,type,
    numeral_numeral_real: num > real ).

thf(func_def_476,type,
    pow: num > num > num ).

thf(func_def_477,type,
    pred_numeral: num > nat ).

thf(func_def_478,type,
    sqr: num > num ).

thf(func_def_479,type,
    none_num: option_num ).

thf(func_def_480,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

thf(func_def_481,type,
    some_num: num > option_num ).

thf(func_def_482,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

thf(func_def_483,type,
    case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).

thf(func_def_484,type,
    case_option_int_num: int > ( num > int ) > option_num > int ).

thf(func_def_485,type,
    case_option_num_num: num > ( num > num ) > option_num > num ).

thf(func_def_486,type,
    case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).

thf(func_def_487,type,
    map_option_num_num: ( num > num ) > option_num > option_num ).

thf(func_def_488,type,
    size_option_num: ( num > nat ) > option_num > nat ).

thf(func_def_489,type,
    size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).

thf(func_def_490,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

thf(func_def_491,type,
    bot_bot_nat: nat ).

thf(func_def_492,type,
    bot_bot_set_int: set_int ).

thf(func_def_493,type,
    bot_bot_set_nat: set_nat ).

thf(func_def_494,type,
    ord_less_complex_o: ( complex > $o ) > ( complex > $o ) > $o ).

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

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

thf(func_def_497,type,
    ord_le549003669493604880_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_498,type,
    ord_less_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_499,type,
    ord_le6747313008572928689nteger: code_integer > code_integer > $o ).

thf(func_def_500,type,
    ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).

thf(func_def_501,type,
    ord_less_int: int > int > $o ).

thf(func_def_502,type,
    ord_less_nat: nat > nat > $o ).

thf(func_def_503,type,
    ord_less_num: num > num > $o ).

thf(func_def_504,type,
    ord_less_rat: rat > rat > $o ).

thf(func_def_505,type,
    ord_less_real: real > real > $o ).

thf(func_def_506,type,
    ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_507,type,
    ord_less_set_complex: set_complex > set_complex > $o ).

thf(func_def_508,type,
    ord_less_set_int: set_int > set_int > $o ).

thf(func_def_509,type,
    ord_less_set_nat: set_nat > set_nat > $o ).

thf(func_def_510,type,
    ord_less_set_num: set_num > set_num > $o ).

thf(func_def_511,type,
    ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_512,type,
    ord_less_set_rat: set_rat > set_rat > $o ).

thf(func_def_513,type,
    ord_less_set_real: set_real > set_real > $o ).

thf(func_def_514,type,
    ord_less_set_set_int: set_set_int > set_set_int > $o ).

thf(func_def_515,type,
    ord_le4573692005234683329plex_o: ( complex > $o ) > ( complex > $o ) > $o ).

thf(func_def_516,type,
    ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).

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

thf(func_def_518,type,
    ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).

thf(func_def_519,type,
    ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).

thf(func_def_520,type,
    ord_le3102999989581377725nteger: code_integer > code_integer > $o ).

thf(func_def_521,type,
    ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).

thf(func_def_522,type,
    ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).

thf(func_def_523,type,
    ord_le4104064031414453916r_real: filter_real > filter_real > $o ).

thf(func_def_524,type,
    ord_less_eq_int: int > int > $o ).

thf(func_def_525,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(func_def_526,type,
    ord_less_eq_num: num > num > $o ).

thf(func_def_527,type,
    ord_less_eq_rat: rat > rat > $o ).

thf(func_def_528,type,
    ord_less_eq_real: real > real > $o ).

thf(func_def_529,type,
    ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).

thf(func_def_530,type,
    ord_le211207098394363844omplex: set_complex > set_complex > $o ).

thf(func_def_531,type,
    ord_less_eq_set_int: set_int > set_int > $o ).

thf(func_def_532,type,
    ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).

thf(func_def_533,type,
    ord_less_eq_set_nat: set_nat > set_nat > $o ).

thf(func_def_534,type,
    ord_less_eq_set_num: set_num > set_num > $o ).

thf(func_def_535,type,
    ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_536,type,
    ord_less_eq_set_rat: set_rat > set_rat > $o ).

thf(func_def_537,type,
    ord_less_eq_set_real: set_real > set_real > $o ).

thf(func_def_538,type,
    ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).

thf(func_def_539,type,
    ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_540,type,
    ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_541,type,
    ord_max_int: int > int > int ).

thf(func_def_542,type,
    ord_max_nat: nat > nat > nat ).

thf(func_def_543,type,
    ord_mi8085742599997312461d_enat: extended_enat > extended_enat > extended_enat ).

thf(func_def_544,type,
    ord_min_nat: nat > nat > nat ).

thf(func_def_545,type,
    order_Greatest_nat: ( nat > $o ) > nat ).

thf(func_def_546,type,
    order_9091379641038594480t_real: ( nat > real ) > $o ).

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

thf(func_def_548,type,
    order_mono_nat_real: ( nat > real ) > $o ).

thf(func_def_549,type,
    order_5726023648592871131at_nat: ( nat > nat ) > $o ).

thf(func_def_550,type,
    order_7092887310737990675l_real: ( real > real ) > $o ).

thf(func_def_551,type,
    top_top_set_o: set_o ).

thf(func_def_552,type,
    top_top_set_nat: set_nat ).

thf(func_def_553,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

thf(func_def_554,type,
    top_top_set_real: set_real ).

thf(func_def_555,type,
    top_top_set_char: set_char ).

thf(func_def_556,type,
    power_8256067586552552935nteger: code_integer > nat > code_integer ).

thf(func_def_557,type,
    power_power_complex: complex > nat > complex ).

thf(func_def_558,type,
    power_8040749407984259932d_enat: extended_enat > nat > extended_enat ).

thf(func_def_559,type,
    power_power_int: int > nat > int ).

thf(func_def_560,type,
    power_power_nat: nat > nat > nat ).

thf(func_def_561,type,
    power_power_rat: rat > nat > rat ).

thf(func_def_562,type,
    power_power_real: real > nat > real ).

thf(func_def_563,type,
    produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).

thf(func_def_564,type,
    produc851828971589881931at_num: ( nat > num > num ) > produc2963631642982155120at_num > produc3368934014287244435at_num ).

thf(func_def_565,type,
    product_Pair_o_o: $o > $o > product_prod_o_o ).

thf(func_def_566,type,
    product_Pair_o_int: $o > int > product_prod_o_int ).

thf(func_def_567,type,
    product_Pair_o_nat: $o > nat > product_prod_o_nat ).

thf(func_def_568,type,
    produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).

thf(func_def_569,type,
    produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).

thf(func_def_570,type,
    produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).

thf(func_def_571,type,
    product_Pair_int_int: int > int > product_prod_int_int ).

thf(func_def_572,type,
    product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).

thf(func_def_573,type,
    product_Pair_nat_num: nat > num > product_prod_nat_num ).

thf(func_def_574,type,
    produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).

thf(func_def_575,type,
    produc1195630363706982562at_num: nat > product_prod_nat_num > produc2963631642982155120at_num ).

thf(func_def_576,type,
    product_Pair_num_num: num > num > product_prod_num_num ).

thf(func_def_577,type,
    produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).

thf(func_def_578,type,
    produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).

thf(func_def_579,type,
    produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).

thf(func_def_580,type,
    produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).

thf(func_def_581,type,
    produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).

thf(func_def_582,type,
    produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_583,type,
    produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).

thf(func_def_584,type,
    produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).

thf(func_def_585,type,
    produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).

thf(func_def_586,type,
    produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).

thf(func_def_587,type,
    produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).

thf(func_def_588,type,
    produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $o ).

thf(func_def_589,type,
    produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).

thf(func_def_590,type,
    produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).

thf(func_def_591,type,
    produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).

thf(func_def_592,type,
    produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).

thf(func_def_593,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_594,type,
    produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_595,type,
    produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).

thf(func_def_596,type,
    produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).

thf(func_def_597,type,
    produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).

thf(func_def_598,type,
    produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).

thf(func_def_599,type,
    product_fst_int_int: product_prod_int_int > int ).

thf(func_def_600,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_601,type,
    produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).

thf(func_def_602,type,
    product_snd_int_int: product_prod_int_int > int ).

thf(func_def_603,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

thf(func_def_604,type,
    fract: int > int > rat ).

thf(func_def_605,type,
    rep_Rat: rat > product_prod_int_int ).

thf(func_def_606,type,
    field_5140801741446780682s_real: set_real ).

thf(func_def_607,type,
    field_7254667332652039916t_real: rat > real ).

thf(func_def_608,type,
    normalize: product_prod_int_int > product_prod_int_int ).

thf(func_def_609,type,
    positive: rat > $o ).

thf(func_def_610,type,
    real_V2521375963428798218omplex: set_complex ).

thf(func_def_611,type,
    real_V470468836141973256s_real: set_real ).

thf(func_def_612,type,
    real_V3694042436643373181omplex: complex > complex > real ).

thf(func_def_613,type,
    real_V975177566351809787t_real: real > real > real ).

thf(func_def_614,type,
    real_V1022390504157884413omplex: complex > real ).

thf(func_def_615,type,
    real_V7735802525324610683m_real: real > real ).

thf(func_def_616,type,
    real_V4546457046886955230omplex: real > complex ).

thf(func_def_617,type,
    real_V1803761363581548252l_real: real > real ).

thf(func_def_618,type,
    real_V2046097035970521341omplex: real > complex > complex ).

thf(func_def_619,type,
    real_V1485227260804924795R_real: real > real > real ).

thf(func_def_620,type,
    divide6298287555418463151nteger: code_integer > code_integer > code_integer ).

thf(func_def_621,type,
    divide1717551699836669952omplex: complex > complex > complex ).

thf(func_def_622,type,
    divide_divide_int: int > int > int ).

thf(func_def_623,type,
    divide_divide_nat: nat > nat > nat ).

thf(func_def_624,type,
    divide_divide_rat: rat > rat > rat ).

thf(func_def_625,type,
    divide_divide_real: real > real > real ).

thf(func_def_626,type,
    dvd_dvd_Code_integer: code_integer > code_integer > $o ).

thf(func_def_627,type,
    dvd_dvd_complex: complex > complex > $o ).

thf(func_def_628,type,
    dvd_dvd_int: int > int > $o ).

thf(func_def_629,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(func_def_630,type,
    dvd_dvd_rat: rat > rat > $o ).

thf(func_def_631,type,
    dvd_dvd_real: real > real > $o ).

thf(func_def_632,type,
    modulo364778990260209775nteger: code_integer > code_integer > code_integer ).

thf(func_def_633,type,
    modulo_modulo_int: int > int > int ).

thf(func_def_634,type,
    modulo_modulo_nat: nat > nat > nat ).

thf(func_def_635,type,
    zero_n356916108424825756nteger: $o > code_integer ).

thf(func_def_636,type,
    zero_n1201886186963655149omplex: $o > complex ).

thf(func_def_637,type,
    zero_n2684676970156552555ol_int: $o > int ).

thf(func_def_638,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

thf(func_def_639,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

thf(func_def_640,type,
    zero_n3304061248610475627l_real: $o > real ).

thf(func_def_641,type,
    suminf_complex: ( nat > complex ) > complex ).

thf(func_def_642,type,
    suminf_int: ( nat > int ) > int ).

thf(func_def_643,type,
    suminf_nat: ( nat > nat ) > nat ).

thf(func_def_644,type,
    suminf_real: ( nat > real ) > real ).

thf(func_def_645,type,
    summable_complex: ( nat > complex ) > $o ).

thf(func_def_646,type,
    summable_int: ( nat > int ) > $o ).

thf(func_def_647,type,
    summable_nat: ( nat > nat ) > $o ).

thf(func_def_648,type,
    summable_real: ( nat > real ) > $o ).

thf(func_def_649,type,
    sums_complex: ( nat > complex ) > complex > $o ).

thf(func_def_650,type,
    sums_int: ( nat > int ) > int > $o ).

thf(func_def_651,type,
    sums_nat: ( nat > nat ) > nat > $o ).

thf(func_def_652,type,
    sums_real: ( nat > real ) > real > $o ).

thf(func_def_653,type,
    collect_o: ( $o > $o ) > set_o ).

thf(func_def_654,type,
    collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).

thf(func_def_655,type,
    collect_complex: ( complex > $o ) > set_complex ).

thf(func_def_656,type,
    collect_int: ( int > $o ) > set_int ).

thf(func_def_657,type,
    collect_list_nat: ( list_nat > $o ) > set_list_nat ).

thf(func_def_658,type,
    collect_nat: ( nat > $o ) > set_nat ).

thf(func_def_659,type,
    collect_num: ( num > $o ) > set_num ).

thf(func_def_660,type,
    collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).

thf(func_def_661,type,
    collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).

thf(func_def_662,type,
    collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).

thf(func_def_663,type,
    collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).

thf(func_def_664,type,
    collect_rat: ( rat > $o ) > set_rat ).

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

thf(func_def_666,type,
    collect_set_int: ( set_int > $o ) > set_set_int ).

thf(func_def_667,type,
    collect_VEBT_VEBT: ( vEBT_VEBT > $o ) > set_VEBT_VEBT ).

thf(func_def_668,type,
    image_int_int: ( int > int ) > set_int > set_int ).

thf(func_def_669,type,
    image_nat_int: ( nat > int ) > set_nat > set_int ).

thf(func_def_670,type,
    image_nat_nat: ( nat > nat ) > set_nat > set_nat ).

thf(func_def_671,type,
    image_nat_real: ( nat > real ) > set_nat > set_real ).

thf(func_def_672,type,
    image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).

thf(func_def_673,type,
    image_nat_char: ( nat > char ) > set_nat > set_char ).

thf(func_def_674,type,
    image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).

thf(func_def_675,type,
    image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).

thf(func_def_676,type,
    image_real_real: ( real > real ) > set_real > set_real ).

thf(func_def_677,type,
    image_char_nat: ( char > nat ) > set_char > set_nat ).

thf(func_def_678,type,
    insert_int: int > set_int > set_int ).

thf(func_def_679,type,
    insert_nat: nat > set_nat > set_nat ).

thf(func_def_680,type,
    set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).

thf(func_def_681,type,
    set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).

thf(func_def_682,type,
    set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).

thf(func_def_683,type,
    set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).

thf(func_def_684,type,
    set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).

thf(func_def_685,type,
    set_or1266510415728281911st_int: int > int > set_int ).

thf(func_def_686,type,
    set_or1269000886237332187st_nat: nat > nat > set_nat ).

thf(func_def_687,type,
    set_or7049704709247886629st_num: num > num > set_num ).

thf(func_def_688,type,
    set_or633870826150836451st_rat: rat > rat > set_rat ).

thf(func_def_689,type,
    set_or1222579329274155063t_real: real > real > set_real ).

thf(func_def_690,type,
    set_or370866239135849197et_int: set_int > set_int > set_set_int ).

thf(func_def_691,type,
    set_or4662586982721622107an_int: int > int > set_int ).

thf(func_def_692,type,
    set_or4665077453230672383an_nat: nat > nat > set_nat ).

thf(func_def_693,type,
    set_ord_atLeast_nat: nat > set_nat ).

thf(func_def_694,type,
    set_ord_atLeast_real: real > set_real ).

thf(func_def_695,type,
    set_ord_atMost_int: int > set_int ).

thf(func_def_696,type,
    set_ord_atMost_nat: nat > set_nat ).

thf(func_def_697,type,
    set_ord_atMost_num: num > set_num ).

thf(func_def_698,type,
    set_ord_atMost_rat: rat > set_rat ).

thf(func_def_699,type,
    set_ord_atMost_real: real > set_real ).

thf(func_def_700,type,
    set_or58775011639299419et_int: set_int > set_set_int ).

thf(func_def_701,type,
    set_or6656581121297822940st_int: int > int > set_int ).

thf(func_def_702,type,
    set_or6659071591806873216st_nat: nat > nat > set_nat ).

thf(func_def_703,type,
    set_or5832277885323065728an_int: int > int > set_int ).

thf(func_def_704,type,
    set_or5834768355832116004an_nat: nat > nat > set_nat ).

thf(func_def_705,type,
    set_or1633881224788618240n_real: real > real > set_real ).

thf(func_def_706,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

thf(func_def_707,type,
    set_or5849166863359141190n_real: real > set_real ).

thf(func_def_708,type,
    set_ord_lessThan_int: int > set_int ).

thf(func_def_709,type,
    set_ord_lessThan_nat: nat > set_nat ).

thf(func_def_710,type,
    set_ord_lessThan_num: num > set_num ).

thf(func_def_711,type,
    set_ord_lessThan_rat: rat > set_rat ).

thf(func_def_712,type,
    set_or5984915006950818249n_real: real > set_real ).

thf(func_def_713,type,
    ascii_of: char > char ).

thf(func_def_714,type,
    char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).

thf(func_def_715,type,
    comm_s629917340098488124ar_nat: char > nat ).

thf(func_def_716,type,
    integer_of_char: char > code_integer ).

thf(func_def_717,type,
    unique3096191561947761185of_nat: nat > char ).

thf(func_def_718,type,
    topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).

thf(func_def_719,type,
    topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).

thf(func_def_720,type,
    topolo4899668324122417113eq_int: ( nat > int ) > $o ).

thf(func_def_721,type,
    topolo4902158794631467389eq_nat: ( nat > nat ) > $o ).

thf(func_def_722,type,
    topolo1459490580787246023eq_num: ( nat > num ) > $o ).

thf(func_def_723,type,
    topolo4267028734544971653eq_rat: ( nat > rat ) > $o ).

thf(func_def_724,type,
    topolo6980174941875973593q_real: ( nat > real ) > $o ).

thf(func_def_725,type,
    topolo3100542954746470799et_int: ( nat > set_int ) > $o ).

thf(func_def_726,type,
    topolo2177554685111907308n_real: real > set_real > filter_real ).

thf(func_def_727,type,
    topolo2815343760600316023s_real: real > filter_real ).

thf(func_def_728,type,
    topolo6517432010174082258omplex: ( nat > complex ) > $o ).

thf(func_def_729,type,
    topolo4055970368930404560y_real: ( nat > real ) > $o ).

thf(func_def_730,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

thf(func_def_731,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

thf(func_def_732,type,
    arccos: real > real ).

thf(func_def_733,type,
    arcosh_real: real > real ).

thf(func_def_734,type,
    arcsin: real > real ).

thf(func_def_735,type,
    arctan: real > real ).

thf(func_def_736,type,
    arsinh_real: real > real ).

thf(func_def_737,type,
    artanh_real: real > real ).

thf(func_def_738,type,
    cos_complex: complex > complex ).

thf(func_def_739,type,
    cos_real: real > real ).

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

thf(func_def_741,type,
    cosh_complex: complex > complex ).

thf(func_def_742,type,
    cosh_real: real > real ).

thf(func_def_743,type,
    cot_complex: complex > complex ).

thf(func_def_744,type,
    cot_real: real > real ).

thf(func_def_745,type,
    diffs_complex: ( nat > complex ) > nat > complex ).

thf(func_def_746,type,
    diffs_int: ( nat > int ) > nat > int ).

thf(func_def_747,type,
    diffs_real: ( nat > real ) > nat > real ).

thf(func_def_748,type,
    exp_complex: complex > complex ).

thf(func_def_749,type,
    exp_real: real > real ).

thf(func_def_750,type,
    ln_ln_real: real > real ).

thf(func_def_751,type,
    log: real > real > real ).

thf(func_def_752,type,
    pi: real ).

thf(func_def_753,type,
    powr_real: real > real > real ).

thf(func_def_754,type,
    sin_complex: complex > complex ).

thf(func_def_755,type,
    sin_real: real > real ).

thf(func_def_756,type,
    sin_coeff: nat > real ).

thf(func_def_757,type,
    sinh_complex: complex > complex ).

thf(func_def_758,type,
    sinh_real: real > real ).

thf(func_def_759,type,
    tan_complex: complex > complex ).

thf(func_def_760,type,
    tan_real: real > real ).

thf(func_def_761,type,
    tanh_complex: complex > complex ).

thf(func_def_762,type,
    tanh_real: real > real ).

thf(func_def_763,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_764,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

thf(func_def_765,type,
    vEBT_Leaf: $o > $o > vEBT_VEBT ).

thf(func_def_766,type,
    vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_767,type,
    vEBT_size_VEBT: vEBT_VEBT > nat ).

thf(func_def_768,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(func_def_769,type,
    vEBT_VEBT_high: nat > nat > nat ).

thf(func_def_770,type,
    vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).

thf(func_def_771,type,
    vEBT_VEBT_low: nat > nat > nat ).

thf(func_def_772,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(func_def_773,type,
    vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_774,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).

thf(func_def_775,type,
    vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_776,type,
    vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).

thf(func_def_777,type,
    vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).

thf(func_def_778,type,
    vEBT_invar_vebt: vEBT_VEBT > nat > $o ).

thf(func_def_779,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

thf(func_def_780,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

thf(func_def_781,type,
    vEBT_v4011308405150292612up_rel: nat > nat > $o ).

thf(func_def_782,type,
    accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).

thf(func_def_783,type,
    accp_nat: ( nat > nat > $o ) > nat > $o ).

thf(func_def_784,type,
    accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).

thf(func_def_785,type,
    accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).

thf(func_def_786,type,
    accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).

thf(func_def_787,type,
    accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).

thf(func_def_788,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

thf(func_def_789,type,
    fChoice_real: ( real > $o ) > real ).

thf(func_def_790,type,
    member_o: $o > set_o > $o ).

thf(func_def_791,type,
    member_Code_integer: code_integer > set_Code_integer > $o ).

thf(func_def_792,type,
    member_complex: complex > set_complex > $o ).

thf(func_def_793,type,
    member_int: int > set_int > $o ).

thf(func_def_794,type,
    member_list_o: list_o > set_list_o > $o ).

thf(func_def_795,type,
    member_list_int: list_int > set_list_int > $o ).

thf(func_def_796,type,
    member_list_nat: list_nat > set_list_nat > $o ).

thf(func_def_797,type,
    member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).

thf(func_def_798,type,
    member_nat: nat > set_nat > $o ).

thf(func_def_799,type,
    member_num: num > set_num > $o ).

thf(func_def_800,type,
    member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).

thf(func_def_801,type,
    member_rat: rat > set_rat > $o ).

thf(func_def_802,type,
    member_real: real > set_real > $o ).

thf(func_def_803,type,
    member_set_int: set_int > set_set_int > $o ).

thf(func_def_804,type,
    member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).

thf(func_def_805,type,
    deg: nat ).

thf(func_def_806,type,
    info: option4927543243414619207at_nat ).

thf(func_def_807,type,
    m: nat ).

thf(func_def_808,type,
    ma: nat ).

thf(func_def_809,type,
    mi: nat ).

thf(func_def_810,type,
    n: nat ).

thf(func_def_811,type,
    na: nat ).

thf(func_def_812,type,
    summary: vEBT_VEBT ).

thf(func_def_813,type,
    treeList: list_VEBT_VEBT ).

thf(func_def_814,type,
    x: nat ).

thf(func_def_816,type,
    vOR: $o > $o > $o ).

thf(func_def_817,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_818,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_819,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_822,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_823,type,
    vAND: $o > $o > $o ).

thf(func_def_824,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_825,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_826,type,
    vNOT: $o > $o ).

thf(func_def_827,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_828,type,
    vIMP: $o > $o > $o ).

thf(func_def_829,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_830,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_831,type,
    db5: 
      !>[X0: $tType] : X0 ).

thf(func_def_832,type,
    db6: 
      !>[X0: $tType] : X0 ).

thf(func_def_833,type,
    sP0: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_834,type,
    sP1: nat > nat > list_VEBT_VEBT > $o ).

thf(func_def_835,type,
    sP2: rat > rat > rat > $o ).

thf(func_def_836,type,
    sP3: rat > rat > rat > $o ).

thf(func_def_837,type,
    sP4: rat > rat > rat > $o ).

thf(func_def_838,type,
    sP5: num > num > num > $o ).

thf(func_def_839,type,
    sP6: num > num > num > $o ).

thf(func_def_840,type,
    sP7: num > num > num > $o ).

thf(func_def_841,type,
    sP8: nat > nat > nat > $o ).

thf(func_def_842,type,
    sP9: nat > nat > nat > $o ).

thf(func_def_843,type,
    sP10: nat > nat > nat > $o ).

thf(func_def_844,type,
    sP11: int > int > int > $o ).

thf(func_def_845,type,
    sP12: int > int > int > $o ).

thf(func_def_846,type,
    sP13: int > int > int > $o ).

thf(func_def_847,type,
    sP14: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_848,type,
    sP15: nat > nat > list_VEBT_VEBT > $o ).

thf(func_def_849,type,
    sP16: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_850,type,
    sP17: nat > list_VEBT_VEBT > nat > nat > nat > $o ).

thf(func_def_851,type,
    sP18: vEBT_VEBT > nat > $o ).

thf(func_def_852,type,
    sP19: vEBT_VEBT > nat > $o ).

thf(func_def_853,type,
    sP20: vEBT_VEBT > nat > $o ).

thf(func_def_854,type,
    sP21: vEBT_VEBT > nat > $o ).

thf(func_def_855,type,
    sP22: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > $o ).

thf(func_def_856,type,
    sP23: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > $o ).

thf(func_def_857,type,
    sP24: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > $o ).

thf(func_def_858,type,
    sP25: ( option_num > option_num > $o ) > option_num > option_num > $o ).

thf(func_def_859,type,
    sP26: int > ( int > $o ) > $o ).

thf(func_def_860,type,
    sP27: ( int > $o ) > $o ).

thf(func_def_861,type,
    sP28: real > real > ( real > real > $o ) > $o ).

thf(func_def_862,type,
    sP29: nat > nat > ( nat > int ) > $o ).

thf(func_def_863,type,
    sP30: product_prod_int_int > int > int > $o ).

thf(func_def_864,type,
    sP31: vEBT_VEBT > nat > $o ).

thf(func_def_865,type,
    sP32: vEBT_VEBT > nat > $o ).

thf(func_def_866,type,
    sP33: vEBT_VEBT > $o > $o ).

thf(func_def_867,type,
    sP34: vEBT_VEBT > $o > $o ).

thf(func_def_868,type,
    sP35: vEBT_VEBT > nat > $o ).

thf(func_def_869,type,
    sP36: vEBT_VEBT > nat > $o ).

thf(func_def_870,type,
    sP37: vEBT_VEBT > nat > $o ).

thf(func_def_871,type,
    sP38: nat > vEBT_VEBT > $o ).

thf(func_def_872,type,
    sP39: vEBT_VEBT > $o > nat > $o ).

thf(func_def_873,type,
    sP40: vEBT_VEBT > $o > nat > $o ).

thf(func_def_874,type,
    sP41: vEBT_VEBT > $o > nat > $o ).

thf(func_def_875,type,
    sP42: vEBT_VEBT > $o > nat > $o ).

thf(func_def_876,type,
    sP43: vEBT_VEBT > nat > $o ).

thf(func_def_877,type,
    sP44: vEBT_VEBT > nat > $o ).

thf(func_def_878,type,
    sP45: vEBT_VEBT > nat > $o ).

thf(func_def_879,type,
    sP46: vEBT_VEBT > nat > $o ).

thf(func_def_880,type,
    sP47: vEBT_VEBT > nat > $o ).

thf(func_def_881,type,
    sP48: vEBT_VEBT > nat > $o ).

thf(func_def_882,type,
    sP49: vEBT_VEBT > nat > $o ).

thf(func_def_883,type,
    sP50: vEBT_VEBT > $o > nat > $o ).

thf(func_def_884,type,
    sP51: vEBT_VEBT > $o > nat > $o ).

thf(func_def_885,type,
    sP52: nat > vEBT_VEBT > $o ).

thf(func_def_886,type,
    sP53: nat > vEBT_VEBT > $o ).

thf(func_def_887,type,
    sP54: nat > ( nat > nat ) > $o ).

thf(func_def_888,type,
    sP55: num > num > num > $o ).

thf(func_def_889,type,
    sP56: num > num > num > $o ).

thf(func_def_890,type,
    sP57: num > num > num > $o ).

thf(func_def_891,type,
    sP58: num > num > num > $o ).

thf(func_def_892,type,
    sP59: num > num > num > $o ).

thf(func_def_893,type,
    sP60: num > num > num > $o ).

thf(func_def_894,type,
    sP61: num > num > num > $o ).

thf(func_def_895,type,
    sP62: num > num > num > $o ).

thf(func_def_896,type,
    sP63: num > num > num > $o ).

thf(func_def_897,type,
    sP64: num > num > num > $o ).

thf(func_def_898,type,
    sP65: num > num > num > $o ).

thf(func_def_899,type,
    sP66: num > num > num > $o ).

thf(func_def_900,type,
    sP67: num > num > num > $o ).

thf(func_def_901,type,
    sP68: num > num > num > $o ).

thf(func_def_902,type,
    sP69: num > num > num > $o ).

thf(func_def_903,type,
    sP70: num > num > num > $o ).

thf(func_def_904,type,
    sP71: ( int > $o ) > int > int > $o ).

thf(func_def_905,type,
    sP72: ( int > $o ) > int > int > $o ).

thf(func_def_906,type,
    sP73: ( int > $o ) > int > int > $o ).

thf(func_def_907,type,
    sP74: vEBT_VEBT > nat > $o ).

thf(func_def_908,type,
    sP75: vEBT_VEBT > $o > nat > $o ).

thf(func_def_909,type,
    sP76: vEBT_VEBT > nat > $o ).

thf(func_def_910,type,
    sP77: vEBT_VEBT > nat > $o ).

thf(func_def_911,type,
    sP78: num > num > option_num > $o ).

thf(func_def_912,type,
    sP79: num > num > option_num > $o ).

thf(func_def_913,type,
    sP80: num > num > option_num > $o ).

thf(func_def_914,type,
    sP81: num > num > option_num > $o ).

thf(func_def_915,type,
    sP82: num > num > option_num > $o ).

thf(func_def_916,type,
    sP83: num > num > option_num > $o ).

thf(func_def_917,type,
    sP84: num > num > option_num > $o ).

thf(func_def_918,type,
    sP85: num > num > option_num > $o ).

thf(func_def_919,type,
    sP86: num > num > option_num > $o ).

thf(func_def_920,type,
    sP87: num > num > option_num > $o ).

thf(func_def_921,type,
    sP88: num > num > option_num > $o ).

thf(func_def_922,type,
    sP89: num > num > option_num > $o ).

thf(func_def_923,type,
    sP90: num > num > option_num > $o ).

thf(func_def_924,type,
    sP91: num > num > option_num > $o ).

thf(func_def_925,type,
    sP92: num > num > option_num > $o ).

thf(func_def_926,type,
    sP93: num > num > option_num > $o ).

thf(func_def_927,type,
    sP94: num > num > option_num > $o ).

thf(func_def_928,type,
    sP95: num > num > option_num > $o ).

thf(func_def_929,type,
    sP96: num > num > option_num > $o ).

thf(func_def_930,type,
    sP97: num > num > option_num > $o ).

thf(func_def_931,type,
    sP98: num > num > option_num > $o ).

thf(func_def_932,type,
    sP99: num > num > option_num > $o ).

thf(func_def_933,type,
    sP100: num > num > option_num > $o ).

thf(func_def_934,type,
    sP101: num > num > option_num > $o ).

thf(func_def_935,type,
    sP102: num > num > option_num > $o ).

thf(func_def_936,type,
    sP103: num > num > option_num > $o ).

thf(func_def_937,type,
    sP104: num > num > option_num > $o ).

thf(func_def_938,type,
    sP105: num > num > option_num > $o ).

thf(func_def_939,type,
    sP106: num > num > option_num > $o ).

thf(func_def_940,type,
    sP107: num > num > option_num > $o ).

thf(func_def_941,type,
    sP108: num > num > option_num > $o ).

thf(func_def_942,type,
    sP109: num > num > option_num > $o ).

thf(func_def_943,type,
    sP110: num > num > option_num > $o ).

thf(func_def_944,type,
    sP111: num > num > option_num > $o ).

thf(func_def_945,type,
    sP112: num > num > option_num > $o ).

thf(func_def_946,type,
    sP113: num > num > option_num > $o ).

thf(func_def_947,type,
    sP114: num > num > option_num > $o ).

thf(func_def_948,type,
    sP115: num > num > option_num > $o ).

thf(func_def_949,type,
    sP116: num > num > option_num > $o ).

thf(func_def_950,type,
    sP117: num > num > option_num > $o ).

thf(func_def_951,type,
    sP118: num > num > option_num > $o ).

thf(func_def_952,type,
    sP119: num > num > option_num > $o ).

thf(func_def_953,type,
    sP120: num > num > option_num > $o ).

thf(func_def_954,type,
    sP121: num > num > option_num > $o ).

thf(func_def_955,type,
    sP122: num > num > option_num > $o ).

thf(func_def_956,type,
    sP123: num > num > option_num > $o ).

thf(func_def_957,type,
    sP124: num > num > option_num > $o ).

thf(func_def_958,type,
    sP125: num > num > option_num > $o ).

thf(func_def_959,type,
    sP126: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_960,type,
    sP127: nat > real > ( nat > real > real ) > $o ).

thf(func_def_961,type,
    sP128: nat > real > ( nat > real > real ) > $o ).

thf(func_def_962,type,
    sP129: nat > real > ( nat > real > real ) > $o ).

thf(func_def_963,type,
    sP130: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_964,type,
    sP131: nat > real > real > ( nat > real > real ) > $o ).

thf(func_def_965,type,
    sP132: ( real > real ) > ( nat > real > real ) > real > real > nat > $o ).

thf(func_def_966,type,
    sP133: real > nat > real > $o ).

thf(func_def_967,type,
    sP134: real > real > ( real > real ) > $o ).

thf(func_def_968,type,
    sP135: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_969,type,
    sP136: real > real > ( real > real ) > $o ).

thf(func_def_970,type,
    sP137: real > real > ( real > real ) > $o ).

thf(func_def_971,type,
    sP138: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_972,type,
    sP139: real > real > ( real > real ) > ( real > real ) > $o ).

thf(func_def_973,type,
    sP140: ( real > real ) > real > ( real > real ) > real > $o ).

thf(func_def_974,type,
    sP141: real > real > ( real > real ) > $o ).

thf(func_def_975,type,
    sP142: real > real > ( real > real ) > $o ).

thf(func_def_976,type,
    sP143: real > real > ( real > real ) > $o ).

thf(func_def_977,type,
    sP144: ( real > real ) > real > real > $o ).

thf(func_def_978,type,
    sP145: real > real > ( real > real ) > ( real > real > real ) > $o ).

thf(func_def_979,type,
    sP146: real > real > ( real > real ) > ( real > real > real ) > $o ).

thf(func_def_980,type,
    sP147: real > real > ( real > real ) > $o ).

thf(func_def_981,type,
    sP148: list_nat > nat > $o ).

thf(func_def_982,type,
    sK149: nat > nat ).

thf(func_def_983,type,
    sK150: nat > nat ).

thf(func_def_984,type,
    sK151: ( real > $o ) > list_real > real ).

thf(func_def_985,type,
    sK152: ( complex > $o ) > list_complex > complex ).

thf(func_def_986,type,
    sK153: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_987,type,
    sK154: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_988,type,
    sK155: ( $o > $o ) > list_o > $o ).

thf(func_def_989,type,
    sK156: ( nat > $o ) > list_nat > nat ).

thf(func_def_990,type,
    sK157: ( int > $o ) > list_int > int ).

thf(func_def_991,type,
    sK158: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_992,type,
    sK159: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_993,type,
    sK160: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_994,type,
    sK161: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_995,type,
    sK162: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_996,type,
    sK163: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_997,type,
    sK164: nat > nat > nat ).

thf(func_def_998,type,
    sK165: nat > nat > nat ).

thf(func_def_999,type,
    sK166: ( extended_enat > $o ) > extended_enat ).

thf(func_def_1000,type,
    sK167: ( nat > $o ) > nat ).

thf(func_def_1001,type,
    sK168: ( nat > $o ) > nat ).

thf(func_def_1002,type,
    sK169: ( nat > $o ) > nat ).

thf(func_def_1003,type,
    sK170: nat > ( nat > $o ) > nat ).

thf(func_def_1004,type,
    sK171: nat > nat > nat ).

thf(func_def_1005,type,
    sK172: nat > nat > nat ).

thf(func_def_1006,type,
    sK173: ( nat > nat > $o ) > nat ).

thf(func_def_1007,type,
    sK174: ( nat > nat > $o ) > nat ).

thf(func_def_1008,type,
    sK175: ( nat > nat > $o ) > nat ).

thf(func_def_1009,type,
    sK176: ( nat > nat > $o ) > nat ).

thf(func_def_1010,type,
    sK177: ( nat > $o ) > nat > nat ).

thf(func_def_1011,type,
    sK178: ( nat > $o ) > nat > nat ).

thf(func_def_1012,type,
    sK179: nat > nat ).

thf(func_def_1013,type,
    sK180: ( nat > $o ) > nat ).

thf(func_def_1014,type,
    sK181: ( nat > $o ) > nat > nat ).

thf(func_def_1015,type,
    sK182: ( nat > nat > $o ) > nat ).

thf(func_def_1016,type,
    sK183: ( nat > nat > $o ) > nat ).

thf(func_def_1017,type,
    sK184: ( nat > nat > $o ) > nat ).

thf(func_def_1018,type,
    sK185: ( nat > nat > $o ) > nat ).

thf(func_def_1019,type,
    sK186: ( nat > nat > $o ) > nat ).

thf(func_def_1020,type,
    sK187: ( nat > nat ) > nat ).

thf(func_def_1021,type,
    sK188: ( nat > nat ) > nat ).

thf(func_def_1022,type,
    sK189: nat > nat > nat ).

thf(func_def_1023,type,
    sK190: ( nat > real ) > nat ).

thf(func_def_1024,type,
    sK191: ( nat > rat ) > nat ).

thf(func_def_1025,type,
    sK192: ( nat > num ) > nat ).

thf(func_def_1026,type,
    sK193: ( nat > nat ) > nat ).

thf(func_def_1027,type,
    sK194: ( nat > int ) > nat ).

thf(func_def_1028,type,
    sK195: ( nat > real ) > nat ).

thf(func_def_1029,type,
    sK196: ( nat > rat ) > nat ).

thf(func_def_1030,type,
    sK197: ( nat > num ) > nat ).

thf(func_def_1031,type,
    sK198: ( nat > nat ) > nat ).

thf(func_def_1032,type,
    sK199: ( nat > int ) > nat ).

thf(func_def_1033,type,
    sK200: ( nat > set_int ) > nat ).

thf(func_def_1034,type,
    sK201: ( nat > rat ) > nat ).

thf(func_def_1035,type,
    sK202: ( nat > num ) > nat ).

thf(func_def_1036,type,
    sK203: ( nat > nat ) > nat ).

thf(func_def_1037,type,
    sK204: ( nat > int ) > nat ).

thf(func_def_1038,type,
    sK205: ( nat > set_int ) > nat ).

thf(func_def_1039,type,
    sK206: ( nat > rat ) > nat ).

thf(func_def_1040,type,
    sK207: ( nat > num ) > nat ).

thf(func_def_1041,type,
    sK208: ( nat > nat ) > nat ).

thf(func_def_1042,type,
    sK209: ( nat > int ) > nat ).

thf(func_def_1043,type,
    sK210: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1044,type,
    sK211: ( nat > $o ) > nat > nat > nat ).

thf(func_def_1045,type,
    sK212: nat > nat > nat ).

thf(func_def_1046,type,
    sK213: nat > nat > nat ).

thf(func_def_1047,type,
    sK214: ( nat > nat ) > nat ).

thf(func_def_1048,type,
    sK215: ( nat > nat ) > nat ).

thf(func_def_1049,type,
    sK216: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1050,type,
    sK217: ( $o > $o ) > list_o > $o ).

thf(func_def_1051,type,
    sK218: ( nat > $o ) > list_nat > nat ).

thf(func_def_1052,type,
    sK219: ( int > $o ) > list_int > int ).

thf(func_def_1053,type,
    sK220: ( real > $o ) > list_real > nat ).

thf(func_def_1054,type,
    sK221: ( complex > $o ) > list_complex > nat ).

thf(func_def_1055,type,
    sK222: ( product_prod_nat_nat > $o ) > list_P6011104703257516679at_nat > nat ).

thf(func_def_1056,type,
    sK223: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_1057,type,
    sK224: ( $o > $o ) > list_o > nat ).

thf(func_def_1058,type,
    sK225: ( nat > $o ) > list_nat > nat ).

thf(func_def_1059,type,
    sK226: ( int > $o ) > list_int > nat ).

thf(func_def_1060,type,
    sK227: real > real > nat ).

thf(func_def_1061,type,
    sK228: set_real > real ).

thf(func_def_1062,type,
    sK229: real > set_real > real ).

thf(func_def_1063,type,
    sK230: real > set_real > real ).

thf(func_def_1064,type,
    sK231: real > real ).

thf(func_def_1065,type,
    sK232: rat > rat ).

thf(func_def_1066,type,
    sK233: real > real ).

thf(func_def_1067,type,
    sK234: rat > rat ).

thf(func_def_1068,type,
    sK235: nat > list_VEBT_VEBT ).

thf(func_def_1069,type,
    sK236: nat > list_o ).

thf(func_def_1070,type,
    sK237: nat > list_nat ).

thf(func_def_1071,type,
    sK238: nat > list_int ).

thf(func_def_1072,type,
    sK239: nat > nat > nat ).

thf(func_def_1073,type,
    sK240: ( list_VEBT_VEBT > $o ) > list_VEBT_VEBT ).

thf(func_def_1074,type,
    sK241: ( list_o > $o ) > list_o ).

thf(func_def_1075,type,
    sK242: ( list_nat > $o ) > list_nat ).

thf(func_def_1076,type,
    sK243: ( list_int > $o ) > list_int ).

thf(func_def_1077,type,
    sK244: list_VEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1078,type,
    sK245: list_o > list_o > nat ).

thf(func_def_1079,type,
    sK246: list_nat > list_nat > nat ).

thf(func_def_1080,type,
    sK247: list_int > list_int > nat ).

thf(func_def_1081,type,
    sK248: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1082,type,
    sK249: list_VEBT_VEBT > nat ).

thf(func_def_1083,type,
    sK250: vEBT_VEBT > nat ).

thf(func_def_1084,type,
    sK251: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1085,type,
    sK252: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1086,type,
    sK253: list_VEBT_VEBT > nat ).

thf(func_def_1087,type,
    sK254: vEBT_VEBT > nat ).

thf(func_def_1088,type,
    sK255: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1089,type,
    sK256: nat > ( nat > $o ) > nat ).

thf(func_def_1090,type,
    sK257: ( nat > $o ) > nat ).

thf(func_def_1091,type,
    sK258: nat > ( nat > $o ) > nat ).

thf(func_def_1092,type,
    sK259: set_real > set_real > real ).

thf(func_def_1093,type,
    sK260: set_nat > set_nat > nat ).

thf(func_def_1094,type,
    sK261: set_complex > set_complex > complex ).

thf(func_def_1095,type,
    sK262: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1096,type,
    sK263: set_int > set_int > int ).

thf(func_def_1097,type,
    sK264: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1098,type,
    sK265: list_VEBT_VEBT > nat ).

thf(func_def_1099,type,
    sK266: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_1100,type,
    sK267: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_1101,type,
    sK268: nat > vEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1102,type,
    sK269: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1103,type,
    sK270: real > real > real ).

thf(func_def_1104,type,
    sK271: rat > rat > rat ).

thf(func_def_1105,type,
    sK272: nat > nat ).

thf(func_def_1106,type,
    sK273: nat > nat ).

thf(func_def_1107,type,
    sK274: ( nat > $o ) > nat ).

thf(func_def_1108,type,
    sK275: ( nat > nat > $o ) > nat ).

thf(func_def_1109,type,
    sK276: ( nat > nat > $o ) > nat ).

thf(func_def_1110,type,
    sK277: ( nat > nat > $o ) > nat ).

thf(func_def_1111,type,
    sK278: ( nat > nat > $o ) > nat ).

thf(func_def_1112,type,
    sK279: ( nat > $o ) > nat ).

thf(func_def_1113,type,
    sK280: nat > nat ).

thf(func_def_1114,type,
    sK281: ( nat > $o ) > nat ).

thf(func_def_1115,type,
    sK282: nat > nat > nat ).

thf(func_def_1116,type,
    sK283: nat > nat ).

thf(func_def_1117,type,
    sK284: nat > ( nat > $o ) > nat ).

thf(func_def_1118,type,
    sK285: nat > nat > nat ).

thf(func_def_1119,type,
    sK286: ( rat > rat ) > rat ).

thf(func_def_1120,type,
    sK287: ( rat > rat ) > rat ).

thf(func_def_1121,type,
    sK288: ( rat > num ) > rat ).

thf(func_def_1122,type,
    sK289: ( rat > num ) > rat ).

thf(func_def_1123,type,
    sK290: ( rat > nat ) > rat ).

thf(func_def_1124,type,
    sK291: ( rat > nat ) > rat ).

thf(func_def_1125,type,
    sK292: ( rat > int ) > rat ).

thf(func_def_1126,type,
    sK293: ( rat > int ) > rat ).

thf(func_def_1127,type,
    sK294: ( num > rat ) > num ).

thf(func_def_1128,type,
    sK295: ( num > rat ) > num ).

thf(func_def_1129,type,
    sK296: ( num > num ) > num ).

thf(func_def_1130,type,
    sK297: ( num > num ) > num ).

thf(func_def_1131,type,
    sK298: ( num > nat ) > num ).

thf(func_def_1132,type,
    sK299: ( num > nat ) > num ).

thf(func_def_1133,type,
    sK300: ( num > int ) > num ).

thf(func_def_1134,type,
    sK301: ( num > int ) > num ).

thf(func_def_1135,type,
    sK302: ( nat > rat ) > nat ).

thf(func_def_1136,type,
    sK303: ( nat > rat ) > nat ).

thf(func_def_1137,type,
    sK304: ( nat > num ) > nat ).

thf(func_def_1138,type,
    sK305: ( nat > num ) > nat ).

thf(func_def_1139,type,
    sK306: ( rat > rat ) > rat ).

thf(func_def_1140,type,
    sK307: ( rat > rat ) > rat ).

thf(func_def_1141,type,
    sK308: ( rat > num ) > rat ).

thf(func_def_1142,type,
    sK309: ( rat > num ) > rat ).

thf(func_def_1143,type,
    sK310: ( rat > nat ) > rat ).

thf(func_def_1144,type,
    sK311: ( rat > nat ) > rat ).

thf(func_def_1145,type,
    sK312: ( rat > int ) > rat ).

thf(func_def_1146,type,
    sK313: ( rat > int ) > rat ).

thf(func_def_1147,type,
    sK314: ( num > rat ) > num ).

thf(func_def_1148,type,
    sK315: ( num > rat ) > num ).

thf(func_def_1149,type,
    sK316: ( num > num ) > num ).

thf(func_def_1150,type,
    sK317: ( num > num ) > num ).

thf(func_def_1151,type,
    sK318: ( num > nat ) > num ).

thf(func_def_1152,type,
    sK319: ( num > nat ) > num ).

thf(func_def_1153,type,
    sK320: ( num > int ) > num ).

thf(func_def_1154,type,
    sK321: ( num > int ) > num ).

thf(func_def_1155,type,
    sK322: ( nat > rat ) > nat ).

thf(func_def_1156,type,
    sK323: ( nat > rat ) > nat ).

thf(func_def_1157,type,
    sK324: ( nat > num ) > nat ).

thf(func_def_1158,type,
    sK325: ( nat > num ) > nat ).

thf(func_def_1159,type,
    sK326: ( rat > rat ) > rat ).

thf(func_def_1160,type,
    sK327: ( rat > rat ) > rat ).

thf(func_def_1161,type,
    sK328: ( rat > num ) > rat ).

thf(func_def_1162,type,
    sK329: ( rat > num ) > rat ).

thf(func_def_1163,type,
    sK330: ( rat > nat ) > rat ).

thf(func_def_1164,type,
    sK331: ( rat > nat ) > rat ).

thf(func_def_1165,type,
    sK332: ( rat > int ) > rat ).

thf(func_def_1166,type,
    sK333: ( rat > int ) > rat ).

thf(func_def_1167,type,
    sK334: ( num > rat ) > num ).

thf(func_def_1168,type,
    sK335: ( num > rat ) > num ).

thf(func_def_1169,type,
    sK336: ( num > num ) > num ).

thf(func_def_1170,type,
    sK337: ( num > num ) > num ).

thf(func_def_1171,type,
    sK338: ( num > nat ) > num ).

thf(func_def_1172,type,
    sK339: ( num > nat ) > num ).

thf(func_def_1173,type,
    sK340: ( num > int ) > num ).

thf(func_def_1174,type,
    sK341: ( num > int ) > num ).

thf(func_def_1175,type,
    sK342: ( nat > rat ) > nat ).

thf(func_def_1176,type,
    sK343: ( nat > rat ) > nat ).

thf(func_def_1177,type,
    sK344: ( nat > num ) > nat ).

thf(func_def_1178,type,
    sK345: ( nat > num ) > nat ).

thf(func_def_1179,type,
    sK346: ( rat > rat ) > rat ).

thf(func_def_1180,type,
    sK347: ( rat > rat ) > rat ).

thf(func_def_1181,type,
    sK348: ( num > rat ) > num ).

thf(func_def_1182,type,
    sK349: ( num > rat ) > num ).

thf(func_def_1183,type,
    sK350: ( nat > rat ) > nat ).

thf(func_def_1184,type,
    sK351: ( nat > rat ) > nat ).

thf(func_def_1185,type,
    sK352: ( int > rat ) > int ).

thf(func_def_1186,type,
    sK353: ( int > rat ) > int ).

thf(func_def_1187,type,
    sK354: ( rat > num ) > rat ).

thf(func_def_1188,type,
    sK355: ( rat > num ) > rat ).

thf(func_def_1189,type,
    sK356: ( num > num ) > num ).

thf(func_def_1190,type,
    sK357: ( num > num ) > num ).

thf(func_def_1191,type,
    sK358: ( nat > num ) > nat ).

thf(func_def_1192,type,
    sK359: ( nat > num ) > nat ).

thf(func_def_1193,type,
    sK360: ( int > num ) > int ).

thf(func_def_1194,type,
    sK361: ( int > num ) > int ).

thf(func_def_1195,type,
    sK362: ( rat > nat ) > rat ).

thf(func_def_1196,type,
    sK363: ( rat > nat ) > rat ).

thf(func_def_1197,type,
    sK364: ( num > nat ) > num ).

thf(func_def_1198,type,
    sK365: ( num > nat ) > num ).

thf(func_def_1199,type,
    sK366: ( rat > rat > $o ) > rat ).

thf(func_def_1200,type,
    sK367: ( rat > rat > $o ) > rat ).

thf(func_def_1201,type,
    sK368: ( rat > rat > $o ) > rat ).

thf(func_def_1202,type,
    sK369: ( rat > rat > $o ) > rat ).

thf(func_def_1203,type,
    sK370: ( num > num > $o ) > num ).

thf(func_def_1204,type,
    sK371: ( num > num > $o ) > num ).

thf(func_def_1205,type,
    sK372: ( num > num > $o ) > num ).

thf(func_def_1206,type,
    sK373: ( num > num > $o ) > num ).

thf(func_def_1207,type,
    sK374: ( nat > nat > $o ) > nat ).

thf(func_def_1208,type,
    sK375: ( nat > nat > $o ) > nat ).

thf(func_def_1209,type,
    sK376: ( nat > nat > $o ) > nat ).

thf(func_def_1210,type,
    sK377: ( nat > nat > $o ) > nat ).

thf(func_def_1211,type,
    sK378: ( int > int > $o ) > int ).

thf(func_def_1212,type,
    sK379: ( int > int > $o ) > int ).

thf(func_def_1213,type,
    sK380: ( int > int > $o ) > int ).

thf(func_def_1214,type,
    sK381: ( int > int > $o ) > int ).

thf(func_def_1215,type,
    sK382: ( real > real ) > real ).

thf(func_def_1216,type,
    sK383: ( real > real ) > real ).

thf(func_def_1217,type,
    sK384: ( real > rat ) > real ).

thf(func_def_1218,type,
    sK385: ( real > rat ) > real ).

thf(func_def_1219,type,
    sK386: ( real > num ) > real ).

thf(func_def_1220,type,
    sK387: ( real > num ) > real ).

thf(func_def_1221,type,
    sK388: ( real > nat ) > real ).

thf(func_def_1222,type,
    sK389: ( real > nat ) > real ).

thf(func_def_1223,type,
    sK390: ( real > int ) > real ).

thf(func_def_1224,type,
    sK391: ( real > int ) > real ).

thf(func_def_1225,type,
    sK392: ( rat > real ) > rat ).

thf(func_def_1226,type,
    sK393: ( rat > real ) > rat ).

thf(func_def_1227,type,
    sK394: ( rat > rat ) > rat ).

thf(func_def_1228,type,
    sK395: ( rat > rat ) > rat ).

thf(func_def_1229,type,
    sK396: ( rat > num ) > rat ).

thf(func_def_1230,type,
    sK397: ( rat > num ) > rat ).

thf(func_def_1231,type,
    sK398: ( rat > nat ) > rat ).

thf(func_def_1232,type,
    sK399: ( rat > nat ) > rat ).

thf(func_def_1233,type,
    sK400: ( rat > int ) > rat ).

thf(func_def_1234,type,
    sK401: ( rat > int ) > rat ).

thf(func_def_1235,type,
    sK402: ( real > real ) > real ).

thf(func_def_1236,type,
    sK403: ( real > real ) > real ).

thf(func_def_1237,type,
    sK404: ( rat > real ) > rat ).

thf(func_def_1238,type,
    sK405: ( rat > real ) > rat ).

thf(func_def_1239,type,
    sK406: ( num > real ) > num ).

thf(func_def_1240,type,
    sK407: ( num > real ) > num ).

thf(func_def_1241,type,
    sK408: ( nat > real ) > nat ).

thf(func_def_1242,type,
    sK409: ( nat > real ) > nat ).

thf(func_def_1243,type,
    sK410: ( int > real ) > int ).

thf(func_def_1244,type,
    sK411: ( int > real ) > int ).

thf(func_def_1245,type,
    sK412: ( real > rat ) > real ).

thf(func_def_1246,type,
    sK413: ( real > rat ) > real ).

thf(func_def_1247,type,
    sK414: ( rat > rat ) > rat ).

thf(func_def_1248,type,
    sK415: ( rat > rat ) > rat ).

thf(func_def_1249,type,
    sK416: ( num > rat ) > num ).

thf(func_def_1250,type,
    sK417: ( num > rat ) > num ).

thf(func_def_1251,type,
    sK418: ( nat > rat ) > nat ).

thf(func_def_1252,type,
    sK419: ( nat > rat ) > nat ).

thf(func_def_1253,type,
    sK420: ( int > rat ) > int ).

thf(func_def_1254,type,
    sK421: ( int > rat ) > int ).

thf(func_def_1255,type,
    sK422: ( real > real ) > real ).

thf(func_def_1256,type,
    sK423: ( real > real ) > real ).

thf(func_def_1257,type,
    sK424: ( real > rat ) > real ).

thf(func_def_1258,type,
    sK425: ( real > rat ) > real ).

thf(func_def_1259,type,
    sK426: ( real > num ) > real ).

thf(func_def_1260,type,
    sK427: ( real > num ) > real ).

thf(func_def_1261,type,
    sK428: ( real > nat ) > real ).

thf(func_def_1262,type,
    sK429: ( real > nat ) > real ).

thf(func_def_1263,type,
    sK430: ( real > int ) > real ).

thf(func_def_1264,type,
    sK431: ( real > int ) > real ).

thf(func_def_1265,type,
    sK432: ( rat > real ) > rat ).

thf(func_def_1266,type,
    sK433: ( rat > real ) > rat ).

thf(func_def_1267,type,
    sK434: ( rat > rat ) > rat ).

thf(func_def_1268,type,
    sK435: ( rat > rat ) > rat ).

thf(func_def_1269,type,
    sK436: ( rat > num ) > rat ).

thf(func_def_1270,type,
    sK437: ( rat > num ) > rat ).

thf(func_def_1271,type,
    sK438: ( rat > nat ) > rat ).

thf(func_def_1272,type,
    sK439: ( rat > nat ) > rat ).

thf(func_def_1273,type,
    sK440: ( rat > int ) > rat ).

thf(func_def_1274,type,
    sK441: ( rat > int ) > rat ).

thf(func_def_1275,type,
    sK442: ( real > real ) > real ).

thf(func_def_1276,type,
    sK443: ( real > real ) > real ).

thf(func_def_1277,type,
    sK444: ( real > rat ) > real ).

thf(func_def_1278,type,
    sK445: ( real > rat ) > real ).

thf(func_def_1279,type,
    sK446: ( real > num ) > real ).

thf(func_def_1280,type,
    sK447: ( real > num ) > real ).

thf(func_def_1281,type,
    sK448: ( real > nat ) > real ).

thf(func_def_1282,type,
    sK449: ( real > nat ) > real ).

thf(func_def_1283,type,
    sK450: ( real > int ) > real ).

thf(func_def_1284,type,
    sK451: ( real > int ) > real ).

thf(func_def_1285,type,
    sK452: ( rat > real ) > rat ).

thf(func_def_1286,type,
    sK453: ( rat > real ) > rat ).

thf(func_def_1287,type,
    sK454: ( rat > rat ) > rat ).

thf(func_def_1288,type,
    sK455: ( rat > rat ) > rat ).

thf(func_def_1289,type,
    sK456: ( rat > num ) > rat ).

thf(func_def_1290,type,
    sK457: ( rat > num ) > rat ).

thf(func_def_1291,type,
    sK458: ( rat > nat ) > rat ).

thf(func_def_1292,type,
    sK459: ( rat > nat ) > rat ).

thf(func_def_1293,type,
    sK460: ( rat > int ) > rat ).

thf(func_def_1294,type,
    sK461: ( rat > int ) > rat ).

thf(func_def_1295,type,
    sK462: ( real > real > $o ) > real ).

thf(func_def_1296,type,
    sK463: ( real > real > $o ) > real ).

thf(func_def_1297,type,
    sK464: ( real > real > $o ) > real ).

thf(func_def_1298,type,
    sK465: ( real > real > $o ) > real ).

thf(func_def_1299,type,
    sK466: ( real > real > $o ) > real ).

thf(func_def_1300,type,
    sK467: ( rat > rat > $o ) > rat ).

thf(func_def_1301,type,
    sK468: ( rat > rat > $o ) > rat ).

thf(func_def_1302,type,
    sK469: ( rat > rat > $o ) > rat ).

thf(func_def_1303,type,
    sK470: ( rat > rat > $o ) > rat ).

thf(func_def_1304,type,
    sK471: ( rat > rat > $o ) > rat ).

thf(func_def_1305,type,
    sK472: ( num > num > $o ) > num ).

thf(func_def_1306,type,
    sK473: ( num > num > $o ) > num ).

thf(func_def_1307,type,
    sK474: ( num > num > $o ) > num ).

thf(func_def_1308,type,
    sK475: ( num > num > $o ) > num ).

thf(func_def_1309,type,
    sK476: ( num > num > $o ) > num ).

thf(func_def_1310,type,
    sK477: ( nat > nat > $o ) > nat ).

thf(func_def_1311,type,
    sK478: ( nat > nat > $o ) > nat ).

thf(func_def_1312,type,
    sK479: ( nat > nat > $o ) > nat ).

thf(func_def_1313,type,
    sK480: ( nat > nat > $o ) > nat ).

thf(func_def_1314,type,
    sK481: ( nat > nat > $o ) > nat ).

thf(func_def_1315,type,
    sK482: ( int > int > $o ) > int ).

thf(func_def_1316,type,
    sK483: ( int > int > $o ) > int ).

thf(func_def_1317,type,
    sK484: ( int > int > $o ) > int ).

thf(func_def_1318,type,
    sK485: ( int > int > $o ) > int ).

thf(func_def_1319,type,
    sK486: ( int > int > $o ) > int ).

thf(func_def_1320,type,
    sK487: ( nat > $o ) > nat ).

thf(func_def_1321,type,
    sK488: real > real > real ).

thf(func_def_1322,type,
    sK489: rat > rat > rat ).

thf(func_def_1323,type,
    sK490: real > real ).

thf(func_def_1324,type,
    sK491: rat > rat ).

thf(func_def_1325,type,
    sK492: nat > nat ).

thf(func_def_1326,type,
    sK493: int > int ).

thf(func_def_1327,type,
    sK494: real > real ).

thf(func_def_1328,type,
    sK495: rat > rat ).

thf(func_def_1329,type,
    sK496: int > int ).

thf(func_def_1330,type,
    sK497: real > real > real ).

thf(func_def_1331,type,
    sK498: rat > rat > rat ).

thf(func_def_1332,type,
    sK499: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_1333,type,
    sK500: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1334,type,
    sK501: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_1335,type,
    sK502: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1336,type,
    sK503: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1337,type,
    sK504: nat > ( nat > $o ) > nat ).

thf(func_def_1338,type,
    sK505: ( nat > $o ) > nat ).

thf(func_def_1339,type,
    sK506: ( real > real ) > real ).

thf(func_def_1340,type,
    sK507: ( real > real ) > real ).

thf(func_def_1341,type,
    sK508: ( rat > real ) > rat ).

thf(func_def_1342,type,
    sK509: ( rat > real ) > rat ).

thf(func_def_1343,type,
    sK510: ( num > real ) > num ).

thf(func_def_1344,type,
    sK511: ( num > real ) > num ).

thf(func_def_1345,type,
    sK512: ( nat > real ) > nat ).

thf(func_def_1346,type,
    sK513: ( nat > real ) > nat ).

thf(func_def_1347,type,
    sK514: ( int > real ) > int ).

thf(func_def_1348,type,
    sK515: ( int > real ) > int ).

thf(func_def_1349,type,
    sK516: ( real > rat ) > real ).

thf(func_def_1350,type,
    sK517: ( real > rat ) > real ).

thf(func_def_1351,type,
    sK518: ( rat > rat ) > rat ).

thf(func_def_1352,type,
    sK519: ( rat > rat ) > rat ).

thf(func_def_1353,type,
    sK520: ( num > rat ) > num ).

thf(func_def_1354,type,
    sK521: ( num > rat ) > num ).

thf(func_def_1355,type,
    sK522: ( nat > rat ) > nat ).

thf(func_def_1356,type,
    sK523: ( nat > rat ) > nat ).

thf(func_def_1357,type,
    sK524: ( int > rat ) > int ).

thf(func_def_1358,type,
    sK525: ( int > rat ) > int ).

thf(func_def_1359,type,
    sK526: ( rat > real ) > rat ).

thf(func_def_1360,type,
    sK527: ( rat > real ) > rat ).

thf(func_def_1361,type,
    sK528: ( rat > rat ) > rat ).

thf(func_def_1362,type,
    sK529: ( rat > rat ) > rat ).

thf(func_def_1363,type,
    sK530: ( rat > num ) > rat ).

thf(func_def_1364,type,
    sK531: ( rat > num ) > rat ).

thf(func_def_1365,type,
    sK532: ( rat > nat ) > rat ).

thf(func_def_1366,type,
    sK533: ( rat > nat ) > rat ).

thf(func_def_1367,type,
    sK534: ( rat > int ) > rat ).

thf(func_def_1368,type,
    sK535: ( rat > int ) > rat ).

thf(func_def_1369,type,
    sK536: ( num > real ) > num ).

thf(func_def_1370,type,
    sK537: ( num > real ) > num ).

thf(func_def_1371,type,
    sK538: ( num > rat ) > num ).

thf(func_def_1372,type,
    sK539: ( num > rat ) > num ).

thf(func_def_1373,type,
    sK540: ( num > num ) > num ).

thf(func_def_1374,type,
    sK541: ( num > num ) > num ).

thf(func_def_1375,type,
    sK542: ( num > nat ) > num ).

thf(func_def_1376,type,
    sK543: ( num > nat ) > num ).

thf(func_def_1377,type,
    sK544: ( num > int ) > num ).

thf(func_def_1378,type,
    sK545: ( num > int ) > num ).

thf(func_def_1379,type,
    sK546: ( rat > real ) > rat ).

thf(func_def_1380,type,
    sK547: ( rat > real ) > rat ).

thf(func_def_1381,type,
    sK548: ( rat > rat ) > rat ).

thf(func_def_1382,type,
    sK549: ( rat > rat ) > rat ).

thf(func_def_1383,type,
    sK550: ( rat > num ) > rat ).

thf(func_def_1384,type,
    sK551: ( rat > num ) > rat ).

thf(func_def_1385,type,
    sK552: ( rat > nat ) > rat ).

thf(func_def_1386,type,
    sK553: ( rat > nat ) > rat ).

thf(func_def_1387,type,
    sK554: ( rat > int ) > rat ).

thf(func_def_1388,type,
    sK555: ( rat > int ) > rat ).

thf(func_def_1389,type,
    sK556: ( num > real ) > num ).

thf(func_def_1390,type,
    sK557: ( num > real ) > num ).

thf(func_def_1391,type,
    sK558: ( num > rat ) > num ).

thf(func_def_1392,type,
    sK559: ( num > rat ) > num ).

thf(func_def_1393,type,
    sK560: ( num > num ) > num ).

thf(func_def_1394,type,
    sK561: ( num > num ) > num ).

thf(func_def_1395,type,
    sK562: ( num > nat ) > num ).

thf(func_def_1396,type,
    sK563: ( num > nat ) > num ).

thf(func_def_1397,type,
    sK564: ( num > int ) > num ).

thf(func_def_1398,type,
    sK565: ( num > int ) > num ).

thf(func_def_1399,type,
    sK566: ( real > real ) > real ).

thf(func_def_1400,type,
    sK567: ( real > real ) > real ).

thf(func_def_1401,type,
    sK568: ( rat > real ) > rat ).

thf(func_def_1402,type,
    sK569: ( rat > real ) > rat ).

thf(func_def_1403,type,
    sK570: ( num > real ) > num ).

thf(func_def_1404,type,
    sK571: ( num > real ) > num ).

thf(func_def_1405,type,
    sK572: ( nat > real ) > nat ).

thf(func_def_1406,type,
    sK573: ( nat > real ) > nat ).

thf(func_def_1407,type,
    sK574: ( int > real ) > int ).

thf(func_def_1408,type,
    sK575: ( int > real ) > int ).

thf(func_def_1409,type,
    sK576: ( real > rat ) > real ).

thf(func_def_1410,type,
    sK577: ( real > rat ) > real ).

thf(func_def_1411,type,
    sK578: ( rat > rat ) > rat ).

thf(func_def_1412,type,
    sK579: ( rat > rat ) > rat ).

thf(func_def_1413,type,
    sK580: ( num > rat ) > num ).

thf(func_def_1414,type,
    sK581: ( num > rat ) > num ).

thf(func_def_1415,type,
    sK582: ( nat > rat ) > nat ).

thf(func_def_1416,type,
    sK583: ( nat > rat ) > nat ).

thf(func_def_1417,type,
    sK584: ( int > rat ) > int ).

thf(func_def_1418,type,
    sK585: ( int > rat ) > int ).

thf(func_def_1419,type,
    sK586: real > real > real > real ).

thf(func_def_1420,type,
    sK587: rat > rat > rat > rat ).

thf(func_def_1421,type,
    sK588: real > real > real > real ).

thf(func_def_1422,type,
    sK589: rat > rat > rat > rat ).

thf(func_def_1423,type,
    sK590: real > real > real ).

thf(func_def_1424,type,
    sK591: rat > rat > rat ).

thf(func_def_1425,type,
    sK592: real > real > real ).

thf(func_def_1426,type,
    sK593: rat > rat > rat ).

thf(func_def_1427,type,
    sK594: list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1428,type,
    sK595: list_VEBT_VEBT > nat ).

thf(func_def_1429,type,
    sK596: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_1430,type,
    sK597: nat > list_VEBT_VEBT > nat > nat > nat > nat ).

thf(func_def_1431,type,
    sK598: nat > vEBT_VEBT > list_VEBT_VEBT > nat ).

thf(func_def_1432,type,
    sK599: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1433,type,
    sK600: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1434,type,
    sK601: vEBT_VEBT > nat > nat ).

thf(func_def_1435,type,
    sK602: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1436,type,
    sK603: vEBT_VEBT > nat > nat ).

thf(func_def_1437,type,
    sK604: vEBT_VEBT > nat > nat ).

thf(func_def_1438,type,
    sK605: vEBT_VEBT > nat > nat ).

thf(func_def_1439,type,
    sK606: vEBT_VEBT > nat > nat ).

thf(func_def_1440,type,
    sK607: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1441,type,
    sK608: vEBT_VEBT > nat > nat ).

thf(func_def_1442,type,
    sK609: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1443,type,
    sK610: vEBT_VEBT > nat > nat ).

thf(func_def_1444,type,
    sK611: vEBT_VEBT > nat > nat ).

thf(func_def_1445,type,
    sK612: vEBT_VEBT > nat > nat ).

thf(func_def_1446,type,
    sK613: vEBT_VEBT > nat > nat ).

thf(func_def_1447,type,
    sK614: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1448,type,
    sK615: vEBT_VEBT > nat > nat ).

thf(func_def_1449,type,
    sK616: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1450,type,
    sK617: vEBT_VEBT > nat > nat ).

thf(func_def_1451,type,
    sK618: vEBT_VEBT > nat > nat ).

thf(func_def_1452,type,
    sK619: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1453,type,
    sK620: vEBT_VEBT > nat > nat ).

thf(func_def_1454,type,
    sK621: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1455,type,
    sK622: vEBT_VEBT > nat > nat ).

thf(func_def_1456,type,
    sK623: vEBT_VEBT > nat > nat ).

thf(func_def_1457,type,
    sK624: vEBT_VEBT > $o ).

thf(func_def_1458,type,
    sK625: vEBT_VEBT > $o ).

thf(func_def_1459,type,
    sK626: ( nat > $o ) > nat ).

thf(func_def_1460,type,
    sK627: vEBT_VEBT > $o ).

thf(func_def_1461,type,
    sK628: vEBT_VEBT > $o ).

thf(func_def_1462,type,
    sK629: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1463,type,
    sK630: vEBT_VEBT > nat ).

thf(func_def_1464,type,
    sK631: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1465,type,
    sK632: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1466,type,
    sK633: nat > real > real ).

thf(func_def_1467,type,
    sK634: real > nat > real ).

thf(func_def_1468,type,
    sK635: real > nat > real ).

thf(func_def_1469,type,
    sK636: real > real > nat ).

thf(func_def_1470,type,
    sK637: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1471,type,
    sK638: option_num > num ).

thf(func_def_1472,type,
    sK639: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1473,type,
    sK640: ( option4927543243414619207at_nat > option4927543243414619207at_nat > $o ) > option4927543243414619207at_nat > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1474,type,
    sK641: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > product_prod_nat_nat ).

thf(func_def_1475,type,
    sK642: ( option4927543243414619207at_nat > option_num > $o ) > option4927543243414619207at_nat > option_num > num ).

thf(func_def_1476,type,
    sK643: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > num ).

thf(func_def_1477,type,
    sK644: ( option_num > option4927543243414619207at_nat > $o ) > option_num > option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_1478,type,
    sK645: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1479,type,
    sK646: ( option_num > option_num > $o ) > option_num > option_num > num ).

thf(func_def_1480,type,
    sK647: ( nat > nat > $o ) > nat ).

thf(func_def_1481,type,
    sK648: ( nat > nat > $o ) > nat ).

thf(func_def_1482,type,
    sK649: ( nat > nat > $o ) > nat ).

thf(func_def_1483,type,
    sK650: ( int > $o ) > int > int ).

thf(func_def_1484,type,
    sK651: int > int > int ).

thf(func_def_1485,type,
    sK652: ( int > $o ) > int > int ).

thf(func_def_1486,type,
    sK653: nat > nat > nat > nat ).

thf(func_def_1487,type,
    sK654: nat > nat > nat > nat ).

thf(func_def_1488,type,
    sK655: nat > nat > nat ).

thf(func_def_1489,type,
    sK656: nat > nat > nat ).

thf(func_def_1490,type,
    sK657: nat > nat > nat ).

thf(func_def_1491,type,
    sK658: code_integer > code_integer > code_integer ).

thf(func_def_1492,type,
    sK659: complex > complex > complex ).

thf(func_def_1493,type,
    sK660: real > real > real ).

thf(func_def_1494,type,
    sK661: nat > nat > nat ).

thf(func_def_1495,type,
    sK662: int > int > int ).

thf(func_def_1496,type,
    sK663: nat > nat > nat ).

thf(func_def_1497,type,
    sK664: nat > nat > nat ).

thf(func_def_1498,type,
    sK665: nat > nat > nat ).

thf(func_def_1499,type,
    sK666: code_integer > code_integer > code_integer ).

thf(func_def_1500,type,
    sK667: nat > nat > nat ).

thf(func_def_1501,type,
    sK668: int > int > int ).

thf(func_def_1502,type,
    sK669: produc3368934014287244435at_num > nat > num > num ).

thf(func_def_1503,type,
    sK670: produc3368934014287244435at_num > nat ).

thf(func_def_1504,type,
    sK671: produc3368934014287244435at_num > nat ).

thf(func_def_1505,type,
    sK672: produc3368934014287244435at_num > num ).

thf(func_def_1506,type,
    sK673: produc4471711990508489141at_nat > nat > nat > nat ).

thf(func_def_1507,type,
    sK674: produc4471711990508489141at_nat > nat ).

thf(func_def_1508,type,
    sK675: produc4471711990508489141at_nat > nat ).

thf(func_def_1509,type,
    sK676: produc4471711990508489141at_nat > nat ).

thf(func_def_1510,type,
    sK677: nat > nat > nat ).

thf(func_def_1511,type,
    sK678: int > int > int ).

thf(func_def_1512,type,
    sK679: code_integer > code_integer > code_integer ).

thf(func_def_1513,type,
    sK680: code_integer > code_integer ).

thf(func_def_1514,type,
    sK681: nat > nat ).

thf(func_def_1515,type,
    sK682: int > int ).

thf(func_def_1516,type,
    sK683: int > int > int > int ).

thf(func_def_1517,type,
    sK684: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_1518,type,
    sK685: nat > nat > nat ).

thf(func_def_1519,type,
    sK686: ( nat > $o ) > nat ).

thf(func_def_1520,type,
    sK687: ( nat > $o ) > $o ).

thf(func_def_1521,type,
    sK688: ( nat > $o ) > nat ).

thf(func_def_1522,type,
    sK689: ( int > $o ) > int ).

thf(func_def_1523,type,
    sK690: ( int > $o ) > $o ).

thf(func_def_1524,type,
    sK691: ( int > $o ) > int ).

thf(func_def_1525,type,
    sK692: ( code_integer > $o ) > code_integer ).

thf(func_def_1526,type,
    sK693: ( code_integer > $o ) > $o ).

thf(func_def_1527,type,
    sK694: ( code_integer > $o ) > code_integer ).

thf(func_def_1528,type,
    sK695: code_integer > code_integer ).

thf(func_def_1529,type,
    sK696: nat > nat ).

thf(func_def_1530,type,
    sK697: int > int ).

thf(func_def_1531,type,
    sK698: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_1532,type,
    sK699: produc9072475918466114483BT_nat > nat ).

thf(func_def_1533,type,
    sK700: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1534,type,
    sK701: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1535,type,
    sK702: produc9072475918466114483BT_nat > nat ).

thf(func_def_1536,type,
    sK703: produc9072475918466114483BT_nat > $o ).

thf(func_def_1537,type,
    sK704: produc9072475918466114483BT_nat > $o ).

thf(func_def_1538,type,
    sK705: produc9072475918466114483BT_nat > nat ).

thf(func_def_1539,type,
    sK706: nat > nat > nat > nat ).

thf(func_def_1540,type,
    sK707: nat > nat > nat > nat ).

thf(func_def_1541,type,
    sK708: nat > nat > nat > nat ).

thf(func_def_1542,type,
    sK709: real > real > real ).

thf(func_def_1543,type,
    sK710: rat > rat > rat ).

thf(func_def_1544,type,
    sK711: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_1545,type,
    sK712: produc9072475918466114483BT_nat > nat ).

thf(func_def_1546,type,
    sK713: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1547,type,
    sK714: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1548,type,
    sK715: produc9072475918466114483BT_nat > nat ).

thf(func_def_1549,type,
    sK716: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

thf(func_def_1550,type,
    sK717: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1551,type,
    sK718: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1552,type,
    sK719: produc9072475918466114483BT_nat > nat ).

thf(func_def_1553,type,
    sK720: produc9072475918466114483BT_nat > $o ).

thf(func_def_1554,type,
    sK721: produc9072475918466114483BT_nat > $o ).

thf(func_def_1555,type,
    sK722: produc9072475918466114483BT_nat > nat ).

thf(func_def_1556,type,
    sK723: ( nat > $o ) > nat ).

thf(func_def_1557,type,
    sK724: ( nat > $o ) > nat ).

thf(func_def_1558,type,
    sK725: ( nat > nat > $o ) > nat ).

thf(func_def_1559,type,
    sK726: ( nat > nat > $o ) > nat ).

thf(func_def_1560,type,
    sK727: ( nat > nat > $o ) > nat ).

thf(func_def_1561,type,
    sK728: ( nat > nat > $o ) > nat ).

thf(func_def_1562,type,
    sK729: ( nat > nat > $o ) > nat ).

thf(func_def_1563,type,
    sK730: produc9072475918466114483BT_nat > nat ).

thf(func_def_1564,type,
    sK731: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1565,type,
    sK732: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1566,type,
    sK733: produc9072475918466114483BT_nat > nat ).

thf(func_def_1567,type,
    sK734: produc9072475918466114483BT_nat > nat ).

thf(func_def_1568,type,
    sK735: produc9072475918466114483BT_nat > nat ).

thf(func_def_1569,type,
    sK736: produc9072475918466114483BT_nat > nat ).

thf(func_def_1570,type,
    sK737: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1571,type,
    sK738: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1572,type,
    sK739: produc9072475918466114483BT_nat > nat ).

thf(func_def_1573,type,
    sK740: produc9072475918466114483BT_nat > nat ).

thf(func_def_1574,type,
    sK741: produc9072475918466114483BT_nat > nat ).

thf(func_def_1575,type,
    sK742: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1576,type,
    sK743: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1577,type,
    sK744: produc9072475918466114483BT_nat > nat ).

thf(func_def_1578,type,
    sK745: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

thf(func_def_1579,type,
    sK746: produc9072475918466114483BT_nat > vEBT_VEBT ).

thf(func_def_1580,type,
    sK747: produc9072475918466114483BT_nat > nat ).

thf(func_def_1581,type,
    sK748: produc9072475918466114483BT_nat > $o ).

thf(func_def_1582,type,
    sK749: produc9072475918466114483BT_nat > $o ).

thf(func_def_1583,type,
    sK750: produc9072475918466114483BT_nat > nat ).

thf(func_def_1584,type,
    sK751: ( int > $o ) > int > int ).

thf(func_def_1585,type,
    sK752: real > real ).

thf(func_def_1586,type,
    sK753: rat > rat ).

thf(func_def_1587,type,
    sK754: num > num ).

thf(func_def_1588,type,
    sK755: nat > nat ).

thf(func_def_1589,type,
    sK756: int > int ).

thf(func_def_1590,type,
    sK757: real > real ).

thf(func_def_1591,type,
    sK758: rat > rat ).

thf(func_def_1592,type,
    sK759: num > num ).

thf(func_def_1593,type,
    sK760: nat > nat ).

thf(func_def_1594,type,
    sK761: int > int ).

thf(func_def_1595,type,
    sK762: real > real ).

thf(func_def_1596,type,
    sK763: rat > rat ).

thf(func_def_1597,type,
    sK764: num > num ).

thf(func_def_1598,type,
    sK765: nat > nat ).

thf(func_def_1599,type,
    sK766: int > int ).

thf(func_def_1600,type,
    sK767: real > real ).

thf(func_def_1601,type,
    sK768: rat > rat ).

thf(func_def_1602,type,
    sK769: num > num ).

thf(func_def_1603,type,
    sK770: nat > nat ).

thf(func_def_1604,type,
    sK771: int > int ).

thf(func_def_1605,type,
    sK772: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1606,type,
    sK773: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1607,type,
    sK774: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1608,type,
    sK775: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1609,type,
    sK776: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1610,type,
    sK777: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1611,type,
    sK778: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1612,type,
    sK779: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1613,type,
    sK780: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1614,type,
    sK781: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1615,type,
    sK782: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1616,type,
    sK783: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1617,type,
    sK784: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1618,type,
    sK785: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1619,type,
    sK786: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1620,type,
    sK787: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1621,type,
    sK788: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1622,type,
    sK789: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1623,type,
    sK790: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1624,type,
    sK791: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1625,type,
    sK792: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1626,type,
    sK793: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1627,type,
    sK794: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1628,type,
    sK795: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1629,type,
    sK796: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1630,type,
    sK797: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1631,type,
    sK798: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1632,type,
    sK799: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1633,type,
    sK800: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1634,type,
    sK801: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1635,type,
    sK802: real > real ).

thf(func_def_1636,type,
    sK803: rat > rat ).

thf(func_def_1637,type,
    sK804: num > num ).

thf(func_def_1638,type,
    sK805: nat > nat ).

thf(func_def_1639,type,
    sK806: int > int ).

thf(func_def_1640,type,
    sK807: real > real ).

thf(func_def_1641,type,
    sK808: rat > rat ).

thf(func_def_1642,type,
    sK809: num > num ).

thf(func_def_1643,type,
    sK810: nat > nat ).

thf(func_def_1644,type,
    sK811: int > int ).

thf(func_def_1645,type,
    sK812: real > real ).

thf(func_def_1646,type,
    sK813: rat > rat ).

thf(func_def_1647,type,
    sK814: num > num ).

thf(func_def_1648,type,
    sK815: nat > nat ).

thf(func_def_1649,type,
    sK816: int > int ).

thf(func_def_1650,type,
    sK817: real > real ).

thf(func_def_1651,type,
    sK818: rat > rat ).

thf(func_def_1652,type,
    sK819: num > num ).

thf(func_def_1653,type,
    sK820: nat > nat ).

thf(func_def_1654,type,
    sK821: int > int ).

thf(func_def_1655,type,
    sK822: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1656,type,
    sK823: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1657,type,
    sK824: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1658,type,
    sK825: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1659,type,
    sK826: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1660,type,
    sK827: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1661,type,
    sK828: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1662,type,
    sK829: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1663,type,
    sK830: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1664,type,
    sK831: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1665,type,
    sK832: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1666,type,
    sK833: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1667,type,
    sK834: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1668,type,
    sK835: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1669,type,
    sK836: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1670,type,
    sK837: ( real > $o ) > ( real > $o ) > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1671,type,
    sK838: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1672,type,
    sK839: real > ( real > $o ) > ( real > $o ) > real ).

thf(func_def_1673,type,
    sK840: ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1674,type,
    sK841: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1675,type,
    sK842: rat > ( rat > $o ) > ( rat > $o ) > rat ).

thf(func_def_1676,type,
    sK843: ( num > $o ) > ( num > $o ) > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1677,type,
    sK844: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1678,type,
    sK845: num > ( num > $o ) > ( num > $o ) > num ).

thf(func_def_1679,type,
    sK846: ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1680,type,
    sK847: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1681,type,
    sK848: nat > ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_1682,type,
    sK849: ( int > $o ) > ( int > $o ) > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1683,type,
    sK850: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1684,type,
    sK851: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1685,type,
    sK852: real > real ).

thf(func_def_1686,type,
    sK853: rat > rat ).

thf(func_def_1687,type,
    sK854: num > num ).

thf(func_def_1688,type,
    sK855: nat > nat ).

thf(func_def_1689,type,
    sK856: int > int ).

thf(func_def_1690,type,
    sK857: real > real ).

thf(func_def_1691,type,
    sK858: rat > rat ).

thf(func_def_1692,type,
    sK859: num > num ).

thf(func_def_1693,type,
    sK860: nat > nat ).

thf(func_def_1694,type,
    sK861: int > int ).

thf(func_def_1695,type,
    sK862: real > real ).

thf(func_def_1696,type,
    sK863: rat > rat ).

thf(func_def_1697,type,
    sK864: num > num ).

thf(func_def_1698,type,
    sK865: nat > nat ).

thf(func_def_1699,type,
    sK866: int > int ).

thf(func_def_1700,type,
    sK867: real > real ).

thf(func_def_1701,type,
    sK868: rat > rat ).

thf(func_def_1702,type,
    sK869: num > num ).

thf(func_def_1703,type,
    sK870: nat > nat ).

thf(func_def_1704,type,
    sK871: int > int ).

thf(func_def_1705,type,
    sK872: nat > nat ).

thf(func_def_1706,type,
    sK873: code_integer > code_integer > code_integer ).

thf(func_def_1707,type,
    sK874: real > real > real ).

thf(func_def_1708,type,
    sK875: rat > rat > rat ).

thf(func_def_1709,type,
    sK876: nat > nat > nat ).

thf(func_def_1710,type,
    sK877: int > int > int ).

thf(func_def_1711,type,
    sK878: code_integer > code_integer > code_integer ).

thf(func_def_1712,type,
    sK879: real > real > real ).

thf(func_def_1713,type,
    sK880: rat > rat > rat ).

thf(func_def_1714,type,
    sK881: nat > nat > nat ).

thf(func_def_1715,type,
    sK882: int > int > int ).

thf(func_def_1716,type,
    sK883: code_integer > code_integer > code_integer ).

thf(func_def_1717,type,
    sK884: real > real > real ).

thf(func_def_1718,type,
    sK885: rat > rat > rat ).

thf(func_def_1719,type,
    sK886: nat > nat > nat ).

thf(func_def_1720,type,
    sK887: int > int > int ).

thf(func_def_1721,type,
    sK888: code_integer > code_integer > code_integer ).

thf(func_def_1722,type,
    sK889: real > real > real ).

thf(func_def_1723,type,
    sK890: rat > rat > rat ).

thf(func_def_1724,type,
    sK891: nat > nat > nat ).

thf(func_def_1725,type,
    sK892: int > int > int ).

thf(func_def_1726,type,
    sK893: nat > list_list_VEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1727,type,
    sK894: nat > list_list_o > list_o ).

thf(func_def_1728,type,
    sK895: nat > list_list_nat > list_nat ).

thf(func_def_1729,type,
    sK896: nat > list_list_int > list_int ).

thf(func_def_1730,type,
    sK897: ( nat > $o ) > nat ).

thf(func_def_1731,type,
    sK898: ( int > $o ) > int > int ).

thf(func_def_1732,type,
    sK899: ( int > $o ) > int > int ).

thf(func_def_1733,type,
    sK900: ( int > $o ) > int ).

thf(func_def_1734,type,
    sK901: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1735,type,
    sK902: ( int > $o ) > int > int ).

thf(func_def_1736,type,
    sK903: ( int > $o ) > int > int ).

thf(func_def_1737,type,
    sK904: ( int > $o ) > int ).

thf(func_def_1738,type,
    sK905: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_1739,type,
    sK906: ( int > $o ) > int > int ).

thf(func_def_1740,type,
    sK907: ( int > $o ) > int > int ).

thf(func_def_1741,type,
    sK908: int > ( int > $o ) > int ).

thf(func_def_1742,type,
    sK909: int > ( int > $o ) > int ).

thf(func_def_1743,type,
    sK910: ( int > $o ) > int > int ).

thf(func_def_1744,type,
    sK911: set_real > set_real > real ).

thf(func_def_1745,type,
    sK912: set_complex > set_complex > complex ).

thf(func_def_1746,type,
    sK913: set_int > set_int > int ).

thf(func_def_1747,type,
    sK914: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_1748,type,
    sK915: set_nat > set_nat > nat ).

thf(func_def_1749,type,
    sK916: product_prod_num_num > num ).

thf(func_def_1750,type,
    sK917: product_prod_num_num > num ).

thf(func_def_1751,type,
    sK918: product_prod_num_num > num ).

thf(func_def_1752,type,
    sK919: product_prod_num_num > num ).

thf(func_def_1753,type,
    sK920: product_prod_num_num > num ).

thf(func_def_1754,type,
    sK921: product_prod_num_num > num ).

thf(func_def_1755,type,
    sK922: product_prod_num_num > num ).

thf(func_def_1756,type,
    sK923: product_prod_num_num > num ).

thf(func_def_1757,type,
    sK924: product_prod_num_num > num ).

thf(func_def_1758,type,
    sK925: product_prod_num_num > num ).

thf(func_def_1759,type,
    sK926: product_prod_num_num > num ).

thf(func_def_1760,type,
    sK927: product_prod_num_num > num ).

thf(func_def_1761,type,
    sK928: num > num ).

thf(func_def_1762,type,
    sK929: num > num ).

thf(func_def_1763,type,
    sK930: real > real > nat ).

thf(func_def_1764,type,
    sK931: real > real > nat ).

thf(func_def_1765,type,
    sK932: ( int > $o ) > int ).

thf(func_def_1766,type,
    sK933: ( int > $o ) > int ).

thf(func_def_1767,type,
    sK934: rat > nat ).

thf(func_def_1768,type,
    sK935: real > nat ).

thf(func_def_1769,type,
    sK936: int > nat ).

thf(func_def_1770,type,
    sK937: int > nat ).

thf(func_def_1771,type,
    sK938: ( int > $o ) > nat ).

thf(func_def_1772,type,
    sK939: ( int > $o ) > nat ).

thf(func_def_1773,type,
    sK940: int > nat ).

thf(func_def_1774,type,
    sK941: int > nat ).

thf(func_def_1775,type,
    sK942: int > nat ).

thf(func_def_1776,type,
    sK943: int > nat ).

thf(func_def_1777,type,
    sK944: int > nat ).

thf(func_def_1778,type,
    sK945: int > nat ).

thf(func_def_1779,type,
    sK946: int > nat ).

thf(func_def_1780,type,
    sK947: int > nat ).

thf(func_def_1781,type,
    sK948: int > nat ).

thf(func_def_1782,type,
    sK949: int > nat ).

thf(func_def_1783,type,
    sK950: int > nat ).

thf(func_def_1784,type,
    sK951: real > nat ).

thf(func_def_1785,type,
    sK952: rat > nat ).

thf(func_def_1786,type,
    sK953: rat > nat ).

thf(func_def_1787,type,
    sK954: real > nat ).

thf(func_def_1788,type,
    sK955: ( nat > $o ) > nat ).

thf(func_def_1789,type,
    sK956: real > real > ( real > real > $o ) > real ).

thf(func_def_1790,type,
    sK957: real > real > real > ( real > real > $o ) > real ).

thf(func_def_1791,type,
    sK958: real > real > real > ( real > real > $o ) > real ).

thf(func_def_1792,type,
    sK959: ( real > real > $o ) > real ).

thf(func_def_1793,type,
    sK960: ( real > real > $o ) > real ).

thf(func_def_1794,type,
    sK961: ( real > real > $o ) > real ).

thf(func_def_1795,type,
    sK962: rat > rat > nat ).

thf(func_def_1796,type,
    sK963: real > real > nat ).

thf(func_def_1797,type,
    sK964: ( num > $o ) > num ).

thf(func_def_1798,type,
    sK965: int > int > nat ).

thf(func_def_1799,type,
    sK966: nat > nat > nat ).

thf(func_def_1800,type,
    sK967: real > real ).

thf(func_def_1801,type,
    sK968: rat > rat ).

thf(func_def_1802,type,
    sK969: real > real > real > real ).

thf(func_def_1803,type,
    sK970: real > real > real > real ).

thf(func_def_1804,type,
    sK971: code_integer > nat ).

thf(func_def_1805,type,
    sK972: int > nat ).

thf(func_def_1806,type,
    sK973: nat > nat ).

thf(func_def_1807,type,
    sK974: int > nat ).

thf(func_def_1808,type,
    sK975: code_integer > nat ).

thf(func_def_1809,type,
    sK976: int > nat ).

thf(func_def_1810,type,
    sK977: nat > nat ).

thf(func_def_1811,type,
    sK978: ( code_integer > code_integer > $o ) > code_integer ).

thf(func_def_1812,type,
    sK979: ( real > real > $o ) > real ).

thf(func_def_1813,type,
    sK980: ( rat > rat > $o ) > rat ).

thf(func_def_1814,type,
    sK981: ( int > int > $o ) > int ).

thf(func_def_1815,type,
    sK982: nat > nat > ( nat > int ) > nat ).

thf(func_def_1816,type,
    sK983: int > ( nat > int ) > nat > nat > nat ).

thf(func_def_1817,type,
    sK984: int > ( nat > int ) > nat > nat ).

thf(func_def_1818,type,
    sK985: ( nat > int ) > nat > nat ).

thf(func_def_1819,type,
    sK986: int > ( nat > int ) > nat > nat ).

thf(func_def_1820,type,
    sK987: ( nat > int ) > nat > nat ).

thf(func_def_1821,type,
    sK988: int > int > nat ).

thf(func_def_1822,type,
    sK989: real > real ).

thf(func_def_1823,type,
    sK990: real > real ).

thf(func_def_1824,type,
    sK991: product_prod_int_int > int > int > int ).

thf(func_def_1825,type,
    sK992: product_prod_int_int > int > int > int ).

thf(func_def_1826,type,
    sK993: product_prod_int_int > int > int > int ).

thf(func_def_1827,type,
    sK994: real > real ).

thf(func_def_1828,type,
    sK995: real > real > real ).

thf(func_def_1829,type,
    sK996: real ).

thf(func_def_1830,type,
    sK997: real > real ).

thf(func_def_1831,type,
    sK998: real > real > real ).

thf(func_def_1832,type,
    sK999: real > real > real ).

thf(func_def_1833,type,
    sK1000: real > real > real ).

thf(func_def_1834,type,
    sK1001: real > real ).

thf(func_def_1835,type,
    sK1002: real > nat ).

thf(func_def_1836,type,
    sK1003: real > nat ).

thf(func_def_1837,type,
    sK1004: complex > real ).

thf(func_def_1838,type,
    sK1005: real > real ).

thf(func_def_1839,type,
    sK1006: real > real ).

thf(func_def_1840,type,
    sK1007: real > real ).

thf(func_def_1841,type,
    sK1008: real > real ).

thf(func_def_1842,type,
    sK1009: real > real ).

thf(func_def_1843,type,
    sK1010: real > int ).

thf(func_def_1844,type,
    sK1011: rat > int ).

thf(func_def_1845,type,
    sK1012: real > int ).

thf(func_def_1846,type,
    sK1013: rat > int ).

thf(func_def_1847,type,
    sK1014: real > int ).

thf(func_def_1848,type,
    sK1015: rat > int ).

thf(func_def_1849,type,
    sK1016: real > int ).

thf(func_def_1850,type,
    sK1017: rat > int ).

thf(func_def_1851,type,
    sK1018: real > int ).

thf(func_def_1852,type,
    sK1019: rat > int ).

thf(func_def_1853,type,
    sK1020: real > int ).

thf(func_def_1854,type,
    sK1021: rat > nat ).

thf(func_def_1855,type,
    sK1022: real > nat ).

thf(func_def_1856,type,
    sK1023: ( real > $o ) > nat ).

thf(func_def_1857,type,
    sK1024: ( real > $o ) > real ).

thf(func_def_1858,type,
    sK1025: ( real > $o ) > real ).

thf(func_def_1859,type,
    sK1026: ( real > $o ) > nat ).

thf(func_def_1860,type,
    sK1027: ( real > $o ) > real ).

thf(func_def_1861,type,
    sK1028: ( real > $o ) > real ).

thf(func_def_1862,type,
    sK1029: rat > nat ).

thf(func_def_1863,type,
    sK1030: real > nat ).

thf(func_def_1864,type,
    sK1031: code_integer > nat > code_integer ).

thf(func_def_1865,type,
    sK1032: int > nat > int ).

thf(func_def_1866,type,
    sK1033: nat > nat > nat ).

thf(func_def_1867,type,
    sK1034: vEBT_VEBT > nat > nat ).

thf(func_def_1868,type,
    sK1035: vEBT_VEBT > nat > nat ).

thf(func_def_1869,type,
    sK1036: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1870,type,
    sK1037: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1871,type,
    sK1038: vEBT_VEBT > nat > nat ).

thf(func_def_1872,type,
    sK1039: vEBT_VEBT > nat > nat ).

thf(func_def_1873,type,
    sK1040: vEBT_VEBT > nat > nat ).

thf(func_def_1874,type,
    sK1041: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1875,type,
    sK1042: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1876,type,
    sK1043: nat > vEBT_VEBT > nat ).

thf(func_def_1877,type,
    sK1044: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1878,type,
    sK1045: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1879,type,
    sK1046: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1880,type,
    sK1047: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1881,type,
    sK1048: vEBT_VEBT > $o ).

thf(func_def_1882,type,
    sK1049: vEBT_VEBT > $o ).

thf(func_def_1883,type,
    sK1050: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1884,type,
    sK1051: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1885,type,
    sK1052: vEBT_VEBT > $o ).

thf(func_def_1886,type,
    sK1053: vEBT_VEBT > $o ).

thf(func_def_1887,type,
    sK1054: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1888,type,
    sK1055: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1889,type,
    sK1056: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1890,type,
    sK1057: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1891,type,
    sK1058: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1892,type,
    sK1059: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1893,type,
    sK1060: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1894,type,
    sK1061: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1895,type,
    sK1062: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1896,type,
    sK1063: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1897,type,
    sK1064: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1898,type,
    sK1065: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1899,type,
    sK1066: real > ( nat > complex ) > nat ).

thf(func_def_1900,type,
    sK1067: real > ( nat > real ) > nat ).

thf(func_def_1901,type,
    sK1068: ( nat > complex ) > real ).

thf(func_def_1902,type,
    sK1069: nat > ( nat > complex ) > nat ).

thf(func_def_1903,type,
    sK1070: nat > ( nat > complex ) > nat ).

thf(func_def_1904,type,
    sK1071: ( nat > real ) > real ).

thf(func_def_1905,type,
    sK1072: nat > ( nat > real ) > nat ).

thf(func_def_1906,type,
    sK1073: nat > ( nat > real ) > nat ).

thf(func_def_1907,type,
    sK1074: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1908,type,
    sK1075: $o > nat > vEBT_VEBT > nat ).

thf(func_def_1909,type,
    sK1076: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1910,type,
    sK1077: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1911,type,
    sK1078: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1912,type,
    sK1079: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1913,type,
    sK1080: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1914,type,
    sK1081: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1915,type,
    sK1082: $o > nat > vEBT_VEBT > $o ).

thf(func_def_1916,type,
    sK1083: vEBT_VEBT > nat > $o ).

thf(func_def_1917,type,
    sK1084: vEBT_VEBT > nat > $o ).

thf(func_def_1918,type,
    sK1085: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1919,type,
    sK1086: nat > vEBT_VEBT > nat ).

thf(func_def_1920,type,
    sK1087: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1921,type,
    sK1088: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1922,type,
    sK1089: vEBT_VEBT > nat > $o ).

thf(func_def_1923,type,
    sK1090: vEBT_VEBT > nat > $o ).

thf(func_def_1924,type,
    sK1091: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1925,type,
    sK1092: nat > vEBT_VEBT > nat ).

thf(func_def_1926,type,
    sK1093: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1927,type,
    sK1094: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1928,type,
    sK1095: vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_1929,type,
    sK1096: vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1930,type,
    sK1097: vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1931,type,
    sK1098: vEBT_VEBT > nat > nat ).

thf(func_def_1932,type,
    sK1099: vEBT_VEBT > nat > nat ).

thf(func_def_1933,type,
    sK1100: vEBT_VEBT > nat > nat ).

thf(func_def_1934,type,
    sK1101: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_1935,type,
    sK1102: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_1936,type,
    sK1103: nat > vEBT_VEBT > nat ).

thf(func_def_1937,type,
    sK1104: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1938,type,
    sK1105: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1939,type,
    sK1106: nat > vEBT_VEBT > nat ).

thf(func_def_1940,type,
    sK1107: nat > vEBT_VEBT > nat ).

thf(func_def_1941,type,
    sK1108: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_1942,type,
    sK1109: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_1943,type,
    sK1110: nat > vEBT_VEBT > nat ).

thf(func_def_1944,type,
    sK1111: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1945,type,
    sK1112: nat > ( nat > real ) > ( nat > complex ) > nat ).

thf(func_def_1946,type,
    sK1113: ( nat > real ) > nat > ( nat > real ) > nat ).

thf(func_def_1947,type,
    sK1114: ( nat > complex ) > nat > ( nat > real ) > nat ).

thf(func_def_1948,type,
    sK1115: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1949,type,
    sK1116: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_1950,type,
    sK1117: ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_1951,type,
    sK1118: ( nat > real ) > nat > ( nat > complex ) > nat ).

thf(func_def_1952,type,
    sK1119: ( nat > complex ) > nat ).

thf(func_def_1953,type,
    sK1120: ( nat > complex ) > nat ).

thf(func_def_1954,type,
    sK1121: ( nat > complex ) > nat > ( nat > complex ) > nat ).

thf(func_def_1955,type,
    sK1122: ( nat > complex ) > nat ).

thf(func_def_1956,type,
    sK1123: ( nat > complex ) > nat ).

thf(func_def_1957,type,
    sK1124: ( nat > real ) > nat ).

thf(func_def_1958,type,
    sK1125: ( nat > nat ) > nat ).

thf(func_def_1959,type,
    sK1126: ( nat > int ) > nat ).

thf(func_def_1960,type,
    sK1127: ( nat > real ) > nat ).

thf(func_def_1961,type,
    sK1128: ( nat > nat ) > nat ).

thf(func_def_1962,type,
    sK1129: ( nat > int ) > nat ).

thf(func_def_1963,type,
    sK1130: ( nat > real ) > nat ).

thf(func_def_1964,type,
    sK1131: ( nat > nat ) > nat ).

thf(func_def_1965,type,
    sK1132: ( nat > int ) > nat ).

thf(func_def_1966,type,
    sK1133: real > list_real > real ).

thf(func_def_1967,type,
    sK1134: complex > list_complex > complex ).

thf(func_def_1968,type,
    sK1135: product_prod_nat_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_1969,type,
    sK1136: vEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1970,type,
    sK1137: $o > list_o > $o ).

thf(func_def_1971,type,
    sK1138: nat > list_nat > nat ).

thf(func_def_1972,type,
    sK1139: int > list_int > int ).

thf(func_def_1973,type,
    sK1140: vEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_1974,type,
    sK1141: $o > list_o > $o ).

thf(func_def_1975,type,
    sK1142: nat > list_nat > nat ).

thf(func_def_1976,type,
    sK1143: int > list_int > int ).

thf(func_def_1977,type,
    sK1144: nat > ( nat > real ) > ( nat > complex ) > nat ).

thf(func_def_1978,type,
    sK1145: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_1979,type,
    sK1146: ( nat > real ) > nat ).

thf(func_def_1980,type,
    sK1147: ( nat > nat ) > nat ).

thf(func_def_1981,type,
    sK1148: ( nat > int ) > nat ).

thf(func_def_1982,type,
    sK1149: ( nat > real ) > nat ).

thf(func_def_1983,type,
    sK1150: ( nat > nat ) > nat ).

thf(func_def_1984,type,
    sK1151: ( nat > int ) > nat ).

thf(func_def_1985,type,
    sK1152: ( nat > real ) > real > nat ).

thf(func_def_1986,type,
    sK1153: ( nat > complex ) > real > nat ).

thf(func_def_1987,type,
    sK1154: ( nat > real ) > nat ).

thf(func_def_1988,type,
    sK1155: ( nat > real ) > nat ).

thf(func_def_1989,type,
    sK1156: real > ( nat > complex ) > real > nat ).

thf(func_def_1990,type,
    sK1157: ( nat > real ) > nat > real > nat ).

thf(func_def_1991,type,
    sK1158: ( nat > complex ) > nat > real > nat ).

thf(func_def_1992,type,
    sK1159: vEBT_VEBT > $o > nat > nat ).

thf(func_def_1993,type,
    sK1160: vEBT_VEBT > $o > nat > nat ).

thf(func_def_1994,type,
    sK1161: vEBT_VEBT > $o > nat > nat ).

thf(func_def_1995,type,
    sK1162: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_1996,type,
    sK1163: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_1997,type,
    sK1164: vEBT_VEBT > $o > nat > nat ).

thf(func_def_1998,type,
    sK1165: vEBT_VEBT > $o > nat > nat ).

thf(func_def_1999,type,
    sK1166: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2000,type,
    sK1167: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2001,type,
    sK1168: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2002,type,
    sK1169: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2003,type,
    sK1170: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2004,type,
    sK1171: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2005,type,
    sK1172: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2006,type,
    sK1173: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2007,type,
    sK1174: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2008,type,
    sK1175: vEBT_VEBT > nat > nat ).

thf(func_def_2009,type,
    sK1176: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2010,type,
    sK1177: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2011,type,
    sK1178: vEBT_VEBT > nat > nat ).

thf(func_def_2012,type,
    sK1179: vEBT_VEBT > nat > nat ).

thf(func_def_2013,type,
    sK1180: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2014,type,
    sK1181: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2015,type,
    sK1182: vEBT_VEBT > nat > nat ).

thf(func_def_2016,type,
    sK1183: vEBT_VEBT > nat > nat ).

thf(func_def_2017,type,
    sK1184: vEBT_VEBT > nat > nat ).

thf(func_def_2018,type,
    sK1185: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2019,type,
    sK1186: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2020,type,
    sK1187: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2021,type,
    sK1188: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2022,type,
    sK1189: nat > vEBT_VEBT > $o ).

thf(func_def_2023,type,
    sK1190: nat > vEBT_VEBT > $o ).

thf(func_def_2024,type,
    sK1191: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_2025,type,
    sK1192: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_2026,type,
    sK1193: ( nat > int ) > ( nat > int ) > nat ).

thf(func_def_2027,type,
    sK1194: ( nat > complex ) > nat > nat ).

thf(func_def_2028,type,
    sK1195: ( nat > real ) > nat > nat ).

thf(func_def_2029,type,
    sK1196: vEBT_VEBT > nat > nat ).

thf(func_def_2030,type,
    sK1197: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2031,type,
    sK1198: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2032,type,
    sK1199: vEBT_VEBT > nat > nat ).

thf(func_def_2033,type,
    sK1200: vEBT_VEBT > nat > nat ).

thf(func_def_2034,type,
    sK1201: vEBT_VEBT > nat > nat ).

thf(func_def_2035,type,
    sK1202: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2036,type,
    sK1203: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2037,type,
    sK1204: nat > vEBT_VEBT > nat ).

thf(func_def_2038,type,
    sK1205: nat > vEBT_VEBT > nat ).

thf(func_def_2039,type,
    sK1206: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2040,type,
    sK1207: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2041,type,
    sK1208: vEBT_VEBT > nat > $o ).

thf(func_def_2042,type,
    sK1209: vEBT_VEBT > nat > $o ).

thf(func_def_2043,type,
    sK1210: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2044,type,
    sK1211: nat > vEBT_VEBT > nat ).

thf(func_def_2045,type,
    sK1212: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2046,type,
    sK1213: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2047,type,
    sK1214: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2048,type,
    sK1215: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2049,type,
    sK1216: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2050,type,
    sK1217: vEBT_VEBT > nat > $o ).

thf(func_def_2051,type,
    sK1218: vEBT_VEBT > nat > $o ).

thf(func_def_2052,type,
    sK1219: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2053,type,
    sK1220: nat > vEBT_VEBT > nat ).

thf(func_def_2054,type,
    sK1221: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2055,type,
    sK1222: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2056,type,
    sK1223: vEBT_VEBT > $o > nat > option4927543243414619207at_nat ).

thf(func_def_2057,type,
    sK1224: vEBT_VEBT > $o > nat > list_VEBT_VEBT ).

thf(func_def_2058,type,
    sK1225: vEBT_VEBT > $o > nat > vEBT_VEBT ).

thf(func_def_2059,type,
    sK1226: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2060,type,
    sK1227: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2061,type,
    sK1228: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2062,type,
    sK1229: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2063,type,
    sK1230: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2064,type,
    sK1231: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2065,type,
    sK1232: ( nat > complex ) > complex ).

thf(func_def_2066,type,
    sK1233: ( nat > real ) > real ).

thf(func_def_2067,type,
    sK1234: ( nat > real ) > real > real ).

thf(func_def_2068,type,
    sK1235: ( nat > complex ) > real > complex ).

thf(func_def_2069,type,
    sK1236: ( nat > real ) > nat ).

thf(func_def_2070,type,
    sK1237: ( nat > real ) > nat ).

thf(func_def_2071,type,
    sK1238: ( nat > set_int ) > nat ).

thf(func_def_2072,type,
    sK1239: ( nat > set_int ) > nat ).

thf(func_def_2073,type,
    sK1240: ( nat > rat ) > nat ).

thf(func_def_2074,type,
    sK1241: ( nat > rat ) > nat ).

thf(func_def_2075,type,
    sK1242: ( nat > num ) > nat ).

thf(func_def_2076,type,
    sK1243: ( nat > num ) > nat ).

thf(func_def_2077,type,
    sK1244: ( nat > nat ) > nat ).

thf(func_def_2078,type,
    sK1245: ( nat > nat ) > nat ).

thf(func_def_2079,type,
    sK1246: ( nat > int ) > nat ).

thf(func_def_2080,type,
    sK1247: ( nat > int ) > nat ).

thf(func_def_2081,type,
    sK1248: ( nat > real ) > nat ).

thf(func_def_2082,type,
    sK1249: ( nat > real ) > nat ).

thf(func_def_2083,type,
    sK1250: ( nat > set_int ) > nat ).

thf(func_def_2084,type,
    sK1251: ( nat > set_int ) > nat ).

thf(func_def_2085,type,
    sK1252: ( nat > rat ) > nat ).

thf(func_def_2086,type,
    sK1253: ( nat > rat ) > nat ).

thf(func_def_2087,type,
    sK1254: ( nat > num ) > nat ).

thf(func_def_2088,type,
    sK1255: ( nat > num ) > nat ).

thf(func_def_2089,type,
    sK1256: ( nat > nat ) > nat ).

thf(func_def_2090,type,
    sK1257: ( nat > nat ) > nat ).

thf(func_def_2091,type,
    sK1258: ( nat > int ) > nat ).

thf(func_def_2092,type,
    sK1259: ( nat > int ) > nat ).

thf(func_def_2093,type,
    sK1260: ( nat > real ) > nat ).

thf(func_def_2094,type,
    sK1261: ( nat > set_int ) > nat ).

thf(func_def_2095,type,
    sK1262: ( nat > rat ) > nat ).

thf(func_def_2096,type,
    sK1263: ( nat > num ) > nat ).

thf(func_def_2097,type,
    sK1264: ( nat > nat ) > nat ).

thf(func_def_2098,type,
    sK1265: ( nat > int ) > nat ).

thf(func_def_2099,type,
    sK1266: ( nat > real ) > nat ).

thf(func_def_2100,type,
    sK1267: ( nat > set_int ) > nat ).

thf(func_def_2101,type,
    sK1268: ( nat > rat ) > nat ).

thf(func_def_2102,type,
    sK1269: ( nat > num ) > nat ).

thf(func_def_2103,type,
    sK1270: ( nat > nat ) > nat ).

thf(func_def_2104,type,
    sK1271: ( nat > int ) > nat ).

thf(func_def_2105,type,
    sK1272: ( real > real ) > ( real > complex ) > set_real > real ).

thf(func_def_2106,type,
    sK1273: ( int > real ) > ( int > complex ) > set_int > int ).

thf(func_def_2107,type,
    sK1274: ( product_prod_nat_nat > real ) > ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2108,type,
    sK1275: ( nat > real ) > ( nat > complex ) > set_nat > nat ).

thf(func_def_2109,type,
    sK1276: ( nat > real ) > ( nat > real ) > set_nat > nat ).

thf(func_def_2110,type,
    sK1277: ( complex > real ) > ( complex > complex ) > set_complex > complex ).

thf(func_def_2111,type,
    sK1278: int > ( nat > int ) > nat ).

thf(func_def_2112,type,
    sK1279: ( nat > int ) > nat ).

thf(func_def_2113,type,
    sK1280: nat > ( nat > nat ) > nat ).

thf(func_def_2114,type,
    sK1281: ( nat > nat ) > nat ).

thf(func_def_2115,type,
    sK1282: real > ( nat > real ) > nat ).

thf(func_def_2116,type,
    sK1283: ( nat > real ) > nat ).

thf(func_def_2117,type,
    sK1284: nat > ( nat > complex ) > complex ).

thf(func_def_2118,type,
    sK1285: nat > ( nat > real ) > real ).

thf(func_def_2119,type,
    sK1286: ( nat > rat ) > nat > nat ).

thf(func_def_2120,type,
    sK1287: ( nat > rat ) > nat > nat ).

thf(func_def_2121,type,
    sK1288: ( nat > complex ) > nat > nat ).

thf(func_def_2122,type,
    sK1289: ( nat > complex ) > nat > nat ).

thf(func_def_2123,type,
    sK1290: ( nat > int ) > nat > nat ).

thf(func_def_2124,type,
    sK1291: ( nat > int ) > nat > nat ).

thf(func_def_2125,type,
    sK1292: ( nat > real ) > nat > nat ).

thf(func_def_2126,type,
    sK1293: ( nat > real ) > nat > nat ).

thf(func_def_2127,type,
    sK1294: ( nat > nat ) > nat > nat ).

thf(func_def_2128,type,
    sK1295: ( nat > nat ) > nat > nat ).

thf(func_def_2129,type,
    sK1296: nat > ( nat > complex ) > real > real ).

thf(func_def_2130,type,
    sK1297: nat > ( nat > real ) > real > real ).

thf(func_def_2131,type,
    sK1298: code_integer > code_integer > ( real > code_integer ) > set_real > real ).

thf(func_def_2132,type,
    sK1299: ( real > code_integer ) > set_real > real ).

thf(func_def_2133,type,
    sK1300: code_integer > code_integer > ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2134,type,
    sK1301: ( nat > code_integer ) > set_nat > nat ).

thf(func_def_2135,type,
    sK1302: code_integer > code_integer > ( complex > code_integer ) > set_complex > complex ).

thf(func_def_2136,type,
    sK1303: ( complex > code_integer ) > set_complex > complex ).

thf(func_def_2137,type,
    sK1304: code_integer > code_integer > ( int > code_integer ) > set_int > int ).

thf(func_def_2138,type,
    sK1305: ( int > code_integer ) > set_int > int ).

thf(func_def_2139,type,
    sK1306: real > real > ( real > real ) > set_real > real ).

thf(func_def_2140,type,
    sK1307: ( real > real ) > set_real > real ).

thf(func_def_2141,type,
    sK1308: real > real > ( complex > real ) > set_complex > complex ).

thf(func_def_2142,type,
    sK1309: ( complex > real ) > set_complex > complex ).

thf(func_def_2143,type,
    sK1310: real > real > ( int > real ) > set_int > int ).

thf(func_def_2144,type,
    sK1311: ( int > real ) > set_int > int ).

thf(func_def_2145,type,
    sK1312: rat > rat > ( real > rat ) > set_real > real ).

thf(func_def_2146,type,
    sK1313: ( real > rat ) > set_real > real ).

thf(func_def_2147,type,
    sK1314: rat > rat > ( nat > rat ) > set_nat > nat ).

thf(func_def_2148,type,
    sK1315: ( nat > rat ) > set_nat > nat ).

thf(func_def_2149,type,
    sK1316: rat > rat > ( complex > rat ) > set_complex > complex ).

thf(func_def_2150,type,
    sK1317: ( complex > rat ) > set_complex > complex ).

thf(func_def_2151,type,
    sK1318: real > nat > real ).

thf(func_def_2152,type,
    sK1319: ( int > nat ) > ( int > nat ) > int ).

thf(func_def_2153,type,
    sK1320: ( real > nat ) > ( real > nat ) > real ).

thf(func_def_2154,type,
    sK1321: ( nat > nat ) > ( nat > nat ) > nat ).

thf(func_def_2155,type,
    sK1322: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_2156,type,
    sK1323: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_2157,type,
    sK1324: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_2158,type,
    sK1325: ( product_prod_nat_nat > nat ) > ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_2159,type,
    sK1326: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_2160,type,
    sK1327: set_nat > ( nat > nat ) > nat ).

thf(func_def_2161,type,
    sK1328: int > ( nat > int ) > nat ).

thf(func_def_2162,type,
    sK1329: nat > ( nat > nat ) > nat ).

thf(func_def_2163,type,
    sK1330: real > ( nat > real ) > nat ).

thf(func_def_2164,type,
    sK1331: int > ( nat > int ) > nat ).

thf(func_def_2165,type,
    sK1332: ( nat > int ) > nat ).

thf(func_def_2166,type,
    sK1333: nat > ( nat > nat ) > nat ).

thf(func_def_2167,type,
    sK1334: ( nat > nat ) > nat ).

thf(func_def_2168,type,
    sK1335: real > ( nat > real ) > nat ).

thf(func_def_2169,type,
    sK1336: ( nat > real ) > nat ).

thf(func_def_2170,type,
    sK1337: nat > ( nat > int ) > nat ).

thf(func_def_2171,type,
    sK1338: nat > ( nat > nat ) > nat ).

thf(func_def_2172,type,
    sK1339: nat > ( nat > real ) > nat ).

thf(func_def_2173,type,
    sK1340: nat > rat > ( nat > rat ) > nat > rat ).

thf(func_def_2174,type,
    sK1341: nat > complex > ( nat > complex ) > nat > complex ).

thf(func_def_2175,type,
    sK1342: nat > int > ( nat > int ) > nat > int ).

thf(func_def_2176,type,
    sK1343: nat > real > ( nat > real ) > nat > real ).

thf(func_def_2177,type,
    sK1344: rat > nat > ( nat > rat ) > nat > rat ).

thf(func_def_2178,type,
    sK1345: complex > nat > ( nat > complex ) > nat > complex ).

thf(func_def_2179,type,
    sK1346: int > nat > ( nat > int ) > nat > int ).

thf(func_def_2180,type,
    sK1347: real > nat > ( nat > real ) > nat > real ).

thf(func_def_2181,type,
    sK1348: rat > ( nat > rat ) > nat > nat ).

thf(func_def_2182,type,
    sK1349: int > ( nat > int ) > nat > nat ).

thf(func_def_2183,type,
    sK1350: nat > ( nat > nat ) > nat > nat ).

thf(func_def_2184,type,
    sK1351: real > ( nat > real ) > nat > nat ).

thf(func_def_2185,type,
    sK1352: nat > ( nat > int ) > nat ).

thf(func_def_2186,type,
    sK1353: nat > ( nat > nat ) > nat ).

thf(func_def_2187,type,
    sK1354: nat > ( nat > real ) > nat ).

thf(func_def_2188,type,
    sK1355: nat > ( nat > real ) > ( real > real ) > real > real ).

thf(func_def_2189,type,
    sK1356: ( real > rat ) > ( real > rat ) > set_real > real ).

thf(func_def_2190,type,
    sK1357: ( nat > rat ) > ( nat > rat ) > set_nat > nat ).

thf(func_def_2191,type,
    sK1358: ( complex > rat ) > ( complex > rat ) > set_complex > complex ).

thf(func_def_2192,type,
    sK1359: ( int > rat ) > ( int > rat ) > set_int > int ).

thf(func_def_2193,type,
    sK1360: ( real > nat ) > ( real > nat ) > set_real > real ).

thf(func_def_2194,type,
    sK1361: ( complex > nat ) > ( complex > nat ) > set_complex > complex ).

thf(func_def_2195,type,
    sK1362: ( int > nat ) > ( int > nat ) > set_int > int ).

thf(func_def_2196,type,
    sK1363: ( real > int ) > ( real > int ) > set_real > real ).

thf(func_def_2197,type,
    sK1364: ( nat > int ) > ( nat > int ) > set_nat > nat ).

thf(func_def_2198,type,
    sK1365: ( complex > int ) > ( complex > int ) > set_complex > complex ).

thf(func_def_2199,type,
    sK1366: nat > real > real ).

thf(func_def_2200,type,
    sK1367: nat > ( nat > real ) > nat ).

thf(func_def_2201,type,
    sK1368: ( real > real ) > set_real > real ).

thf(func_def_2202,type,
    sK1369: ( complex > real ) > set_complex > complex ).

thf(func_def_2203,type,
    sK1370: ( int > real ) > set_int > int ).

thf(func_def_2204,type,
    sK1371: ( real > rat ) > set_real > real ).

thf(func_def_2205,type,
    sK1372: ( nat > rat ) > set_nat > nat ).

thf(func_def_2206,type,
    sK1373: ( complex > rat ) > set_complex > complex ).

thf(func_def_2207,type,
    sK1374: ( int > rat ) > set_int > int ).

thf(func_def_2208,type,
    sK1375: ( real > nat ) > set_real > real ).

thf(func_def_2209,type,
    sK1376: ( complex > nat ) > set_complex > complex ).

thf(func_def_2210,type,
    sK1377: ( int > nat ) > set_int > int ).

thf(func_def_2211,type,
    sK1378: ( real > real ) > set_real > real ).

thf(func_def_2212,type,
    sK1379: ( complex > real ) > set_complex > complex ).

thf(func_def_2213,type,
    sK1380: ( int > real ) > set_int > int ).

thf(func_def_2214,type,
    sK1381: ( real > rat ) > set_real > real ).

thf(func_def_2215,type,
    sK1382: ( nat > rat ) > set_nat > nat ).

thf(func_def_2216,type,
    sK1383: ( complex > rat ) > set_complex > complex ).

thf(func_def_2217,type,
    sK1384: ( int > rat ) > set_int > int ).

thf(func_def_2218,type,
    sK1385: ( real > nat ) > set_real > real ).

thf(func_def_2219,type,
    sK1386: ( complex > nat ) > set_complex > complex ).

thf(func_def_2220,type,
    sK1387: ( int > nat ) > set_int > int ).

thf(func_def_2221,type,
    sK1388: ( nat > nat ) > ( nat > nat ) > set_nat > nat ).

thf(func_def_2222,type,
    sK1389: ( nat > real ) > ( nat > real ) > set_nat > nat ).

thf(func_def_2223,type,
    sK1390: nat > real > real ).

thf(func_def_2224,type,
    sK1391: nat > real > real ).

thf(func_def_2225,type,
    sK1392: nat > real > real ).

thf(func_def_2226,type,
    sK1393: nat > real > real ).

thf(func_def_2227,type,
    sK1394: nat > real > real ).

thf(func_def_2228,type,
    sK1395: real > nat > real ).

thf(func_def_2229,type,
    sK1396: nat > real > real ).

thf(func_def_2230,type,
    sK1397: real > ( nat > complex ) > nat ).

thf(func_def_2231,type,
    sK1398: real > ( nat > real ) > nat ).

thf(func_def_2232,type,
    sK1399: nat > vEBT_VEBT > nat ).

thf(func_def_2233,type,
    sK1400: set_real > ( real > complex ) > real ).

thf(func_def_2234,type,
    sK1401: set_nat > ( nat > complex ) > nat ).

thf(func_def_2235,type,
    sK1402: set_complex > ( complex > complex ) > complex ).

thf(func_def_2236,type,
    sK1403: set_int > ( int > complex ) > int ).

thf(func_def_2237,type,
    sK1404: set_real > ( real > real ) > real ).

thf(func_def_2238,type,
    sK1405: set_nat > ( nat > real ) > nat ).

thf(func_def_2239,type,
    sK1406: set_complex > ( complex > real ) > complex ).

thf(func_def_2240,type,
    sK1407: set_int > ( int > real ) > int ).

thf(func_def_2241,type,
    sK1408: set_real > ( real > rat ) > real ).

thf(func_def_2242,type,
    sK1409: set_nat > ( nat > rat ) > nat ).

thf(func_def_2243,type,
    sK1410: ( nat > nat ) > set_nat > nat ).

thf(func_def_2244,type,
    sK1411: ( nat > int ) > set_nat > nat ).

thf(func_def_2245,type,
    sK1412: ( int > int ) > set_int > int ).

thf(func_def_2246,type,
    sK1413: ( nat > nat ) > set_nat > nat ).

thf(func_def_2247,type,
    sK1414: ( nat > int ) > set_nat > nat ).

thf(func_def_2248,type,
    sK1415: ( int > int ) > set_int > int ).

thf(func_def_2249,type,
    sK1416: ( int > int ) > ( int > int ) > set_int > int ).

thf(func_def_2250,type,
    sK1417: ( int > $o ) > int > int ).

thf(func_def_2251,type,
    sK1418: ( int > $o ) > int > int ).

thf(func_def_2252,type,
    sK1419: int > set_int > int > int ).

thf(func_def_2253,type,
    sK1420: int > set_int > int > int ).

thf(func_def_2254,type,
    sK1421: int > set_int > int > int ).

thf(func_def_2255,type,
    sK1422: int > set_int > int > int ).

thf(func_def_2256,type,
    sK1423: int > set_int > int > int ).

thf(func_def_2257,type,
    sK1424: int > set_int > int > int ).

thf(func_def_2258,type,
    sK1425: int > set_int > int > int ).

thf(func_def_2259,type,
    sK1426: int > set_int > int > int ).

thf(func_def_2260,type,
    sK1427: int > set_int > int > int ).

thf(func_def_2261,type,
    sK1428: int > set_int > int > int ).

thf(func_def_2262,type,
    sK1429: int > set_int > int > int ).

thf(func_def_2263,type,
    sK1430: int > set_int > int > int ).

thf(func_def_2264,type,
    sK1431: int > set_int > int > int ).

thf(func_def_2265,type,
    sK1432: int > set_int > int > int ).

thf(func_def_2266,type,
    sK1433: int > set_int > int > int ).

thf(func_def_2267,type,
    sK1434: int > set_int > int > int ).

thf(func_def_2268,type,
    sK1435: int > set_int > int > int ).

thf(func_def_2269,type,
    sK1436: int > set_int > int > int ).

thf(func_def_2270,type,
    sK1437: int > set_int > int > int ).

thf(func_def_2271,type,
    sK1438: int > set_int > int > int ).

thf(func_def_2272,type,
    sK1439: int > set_int > int > int ).

thf(func_def_2273,type,
    sK1440: int > set_int > int > int ).

thf(func_def_2274,type,
    sK1441: int > set_int > int > int ).

thf(func_def_2275,type,
    sK1442: int > set_int > int > int ).

thf(func_def_2276,type,
    sK1443: ( int > $o ) > int > int ).

thf(func_def_2277,type,
    sK1444: ( int > $o ) > int > int ).

thf(func_def_2278,type,
    sK1445: set_int > ( int > $o ) > int > int ).

thf(func_def_2279,type,
    sK1446: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2280,type,
    sK1447: ( int > $o ) > int > int ).

thf(func_def_2281,type,
    sK1448: ( int > $o ) > int > int ).

thf(func_def_2282,type,
    sK1449: set_int > ( int > $o ) > int > int ).

thf(func_def_2283,type,
    sK1450: int > ( int > $o ) > ( int > $o ) > int ).

thf(func_def_2284,type,
    sK1451: nat > ( nat > nat ) > nat ).

thf(func_def_2285,type,
    sK1452: nat > ( nat > nat ) > nat ).

thf(func_def_2286,type,
    sK1453: ( nat > nat ) > nat > nat ).

thf(func_def_2287,type,
    sK1454: ( nat > nat ) > nat > nat ).

thf(func_def_2288,type,
    sK1455: ( int > int > $o ) > int ).

thf(func_def_2289,type,
    sK1456: ( int > int > $o ) > int ).

thf(func_def_2290,type,
    sK1457: num > num > num > num ).

thf(func_def_2291,type,
    sK1458: num > num > num > num ).

thf(func_def_2292,type,
    sK1459: num > num ).

thf(func_def_2293,type,
    sK1460: num > num > num > num ).

thf(func_def_2294,type,
    sK1461: num > num > num > num ).

thf(func_def_2295,type,
    sK1462: num > num > num > num ).

thf(func_def_2296,type,
    sK1463: num > num > num > num ).

thf(func_def_2297,type,
    sK1464: num > num ).

thf(func_def_2298,type,
    sK1465: num > num > num ).

thf(func_def_2299,type,
    sK1466: num > num > num ).

thf(func_def_2300,type,
    sK1467: num > num > num > num ).

thf(func_def_2301,type,
    sK1468: num > num > num > num ).

thf(func_def_2302,type,
    sK1469: num > num > num > num ).

thf(func_def_2303,type,
    sK1470: num > num > num > num ).

thf(func_def_2304,type,
    sK1471: num > num > num > num ).

thf(func_def_2305,type,
    sK1472: num > num > num > num ).

thf(func_def_2306,type,
    sK1473: num > num > num > num ).

thf(func_def_2307,type,
    sK1474: num > num > num > num ).

thf(func_def_2308,type,
    sK1475: num > num > num > num ).

thf(func_def_2309,type,
    sK1476: num > num > num > num ).

thf(func_def_2310,type,
    sK1477: num > num > num ).

thf(func_def_2311,type,
    sK1478: num > num > num ).

thf(func_def_2312,type,
    sK1479: num > num > num > num ).

thf(func_def_2313,type,
    sK1480: num > num > num > num ).

thf(func_def_2314,type,
    sK1481: rat > rat ).

thf(func_def_2315,type,
    sK1482: rat > rat ).

thf(func_def_2316,type,
    sK1483: ( nat > nat ) > nat ).

thf(func_def_2317,type,
    sK1484: nat > set_nat > nat ).

thf(func_def_2318,type,
    sK1485: set_nat > nat ).

thf(func_def_2319,type,
    sK1486: set_nat > nat > nat ).

thf(func_def_2320,type,
    sK1487: ( int > int > $o ) > int ).

thf(func_def_2321,type,
    sK1488: ( int > int > $o ) > int ).

thf(func_def_2322,type,
    sK1489: nat > nat > nat ).

thf(func_def_2323,type,
    sK1490: nat > nat > nat ).

thf(func_def_2324,type,
    sK1491: nat > nat > nat ).

thf(func_def_2325,type,
    sK1492: nat > nat > nat ).

thf(func_def_2326,type,
    sK1493: ( nat > $o ) > nat > nat ).

thf(func_def_2327,type,
    sK1494: ( nat > $o ) > nat > nat ).

thf(func_def_2328,type,
    sK1495: set_nat > nat > nat ).

thf(func_def_2329,type,
    sK1496: nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2330,type,
    sK1497: nat > vEBT_VEBT > nat ).

thf(func_def_2331,type,
    sK1498: nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2332,type,
    sK1499: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2333,type,
    sK1500: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2334,type,
    sK1501: vEBT_VEBT > $o ).

thf(func_def_2335,type,
    sK1502: vEBT_VEBT > $o ).

thf(func_def_2336,type,
    sK1503: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2337,type,
    sK1504: vEBT_VEBT > nat > nat ).

thf(func_def_2338,type,
    sK1505: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2339,type,
    sK1506: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2340,type,
    sK1507: vEBT_VEBT > $o ).

thf(func_def_2341,type,
    sK1508: vEBT_VEBT > $o ).

thf(func_def_2342,type,
    sK1509: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2343,type,
    sK1510: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2344,type,
    sK1511: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2345,type,
    sK1512: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2346,type,
    sK1513: vEBT_VEBT > $o ).

thf(func_def_2347,type,
    sK1514: vEBT_VEBT > $o ).

thf(func_def_2348,type,
    sK1515: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2349,type,
    sK1516: vEBT_VEBT > $o > nat > $o ).

thf(func_def_2350,type,
    sK1517: $o > nat > vEBT_VEBT > option4927543243414619207at_nat ).

thf(func_def_2351,type,
    sK1518: $o > nat > vEBT_VEBT > nat ).

thf(func_def_2352,type,
    sK1519: $o > nat > vEBT_VEBT > list_VEBT_VEBT ).

thf(func_def_2353,type,
    sK1520: $o > nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2354,type,
    sK1521: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2355,type,
    sK1522: vEBT_VEBT > nat > nat ).

thf(func_def_2356,type,
    sK1523: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2357,type,
    sK1524: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2358,type,
    sK1525: nat > vEBT_VEBT > $o ).

thf(func_def_2359,type,
    sK1526: nat > vEBT_VEBT > $o ).

thf(func_def_2360,type,
    sK1527: vEBT_VEBT > nat > option4927543243414619207at_nat ).

thf(func_def_2361,type,
    sK1528: vEBT_VEBT > nat > nat ).

thf(func_def_2362,type,
    sK1529: vEBT_VEBT > nat > list_VEBT_VEBT ).

thf(func_def_2363,type,
    sK1530: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2364,type,
    sK1531: vEBT_VEBT > nat > vEBT_VEBT ).

thf(func_def_2365,type,
    sK1532: nat > vEBT_VEBT > $o ).

thf(func_def_2366,type,
    sK1533: nat > vEBT_VEBT > $o ).

thf(func_def_2367,type,
    sK1534: nat > ( nat > $o ) > nat ).

thf(func_def_2368,type,
    sK1535: nat > ( nat > $o ) > nat ).

thf(func_def_2369,type,
    sK1536: nat > ( nat > $o ) > nat ).

thf(func_def_2370,type,
    sK1537: num > num > option_num > num ).

thf(func_def_2371,type,
    sK1538: num > num > option_num > num ).

thf(func_def_2372,type,
    sK1539: num > num > option_num > num ).

thf(func_def_2373,type,
    sK1540: num > num > option_num > num ).

thf(func_def_2374,type,
    sK1541: num > num > option_num > num ).

thf(func_def_2375,type,
    sK1542: num > num > option_num > num ).

thf(func_def_2376,type,
    sK1543: num > num > option_num > num ).

thf(func_def_2377,type,
    sK1544: num > num > option_num > num ).

thf(func_def_2378,type,
    sK1545: num > num ).

thf(func_def_2379,type,
    sK1546: num > num ).

thf(func_def_2380,type,
    sK1547: option_num > num > num > num ).

thf(func_def_2381,type,
    sK1548: option_num > num > num > num ).

thf(func_def_2382,type,
    sK1549: num > num > option_num > num ).

thf(func_def_2383,type,
    sK1550: num > num > option_num > num ).

thf(func_def_2384,type,
    sK1551: num > num > option_num > num ).

thf(func_def_2385,type,
    sK1552: num > num > option_num > num ).

thf(func_def_2386,type,
    sK1553: num > num > option_num > num ).

thf(func_def_2387,type,
    sK1554: num > num > option_num > num ).

thf(func_def_2388,type,
    sK1555: num > num > option_num > num ).

thf(func_def_2389,type,
    sK1556: num > num > option_num > num ).

thf(func_def_2390,type,
    sK1557: num > option_num > num ).

thf(func_def_2391,type,
    sK1558: num > option_num > num ).

thf(func_def_2392,type,
    sK1559: option_num > num > num > num ).

thf(func_def_2393,type,
    sK1560: option_num > num > num > num ).

thf(func_def_2394,type,
    sK1561: num > num > option_num > num ).

thf(func_def_2395,type,
    sK1562: num > num > option_num > num ).

thf(func_def_2396,type,
    sK1563: num > num ).

thf(func_def_2397,type,
    sK1564: num > num > option_num > num ).

thf(func_def_2398,type,
    sK1565: num > num > option_num > num ).

thf(func_def_2399,type,
    sK1566: num > num > option_num > num ).

thf(func_def_2400,type,
    sK1567: num > num > option_num > num ).

thf(func_def_2401,type,
    sK1568: num > num ).

thf(func_def_2402,type,
    sK1569: num > num ).

thf(func_def_2403,type,
    sK1570: num > num ).

thf(func_def_2404,type,
    sK1571: option_num > num > num > num ).

thf(func_def_2405,type,
    sK1572: option_num > num > num > num ).

thf(func_def_2406,type,
    sK1573: num > num > option_num > num ).

thf(func_def_2407,type,
    sK1574: num > num > option_num > num ).

thf(func_def_2408,type,
    sK1575: num > num > option_num > num ).

thf(func_def_2409,type,
    sK1576: num > num > option_num > num ).

thf(func_def_2410,type,
    sK1577: num > num > option_num > num ).

thf(func_def_2411,type,
    sK1578: num > num > option_num > num ).

thf(func_def_2412,type,
    sK1579: num > num > option_num > num ).

thf(func_def_2413,type,
    sK1580: num > num > option_num > num ).

thf(func_def_2414,type,
    sK1581: num > option_num > num ).

thf(func_def_2415,type,
    sK1582: num > option_num > num ).

thf(func_def_2416,type,
    sK1583: option_num > num > num > num ).

thf(func_def_2417,type,
    sK1584: option_num > num > num > num ).

thf(func_def_2418,type,
    sK1585: num > num > option_num > num ).

thf(func_def_2419,type,
    sK1586: num > num > option_num > num ).

thf(func_def_2420,type,
    sK1587: num > num > option_num > num ).

thf(func_def_2421,type,
    sK1588: num > num > option_num > num ).

thf(func_def_2422,type,
    sK1589: num > num > option_num > num ).

thf(func_def_2423,type,
    sK1590: num > num > option_num > num ).

thf(func_def_2424,type,
    sK1591: num > num > option_num > num ).

thf(func_def_2425,type,
    sK1592: num > num > option_num > num ).

thf(func_def_2426,type,
    sK1593: num > option_num > num ).

thf(func_def_2427,type,
    sK1594: num > option_num > num ).

thf(func_def_2428,type,
    sK1595: option_num > num > num > num ).

thf(func_def_2429,type,
    sK1596: option_num > num > num > num ).

thf(func_def_2430,type,
    sK1597: num > num > option_num > num ).

thf(func_def_2431,type,
    sK1598: num > num > option_num > num ).

thf(func_def_2432,type,
    sK1599: num > num > option_num > num ).

thf(func_def_2433,type,
    sK1600: num > num > option_num > num ).

thf(func_def_2434,type,
    sK1601: num > num > option_num > num ).

thf(func_def_2435,type,
    sK1602: num > num > option_num > num ).

thf(func_def_2436,type,
    sK1603: num > num > option_num > num ).

thf(func_def_2437,type,
    sK1604: num > num > option_num > num ).

thf(func_def_2438,type,
    sK1605: num > option_num > num ).

thf(func_def_2439,type,
    sK1606: num > option_num > num ).

thf(func_def_2440,type,
    sK1607: option_num > num > num > num ).

thf(func_def_2441,type,
    sK1608: option_num > num > num > num ).

thf(func_def_2442,type,
    sK1609: real > real > real ).

thf(func_def_2443,type,
    sK1610: real > real ).

thf(func_def_2444,type,
    sK1611: real > real ).

thf(func_def_2445,type,
    sK1612: ( nat > real ) > nat ).

thf(func_def_2446,type,
    sK1613: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2447,type,
    sK1614: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2448,type,
    sK1615: ( real > real ) > real > real > real ).

thf(func_def_2449,type,
    sK1616: ( real > real ) > real > real > real ).

thf(func_def_2450,type,
    sK1617: ( real > real ) > real > real > real ).

thf(func_def_2451,type,
    sK1618: ( real > real ) > real > real > real ).

thf(func_def_2452,type,
    sK1619: ( real > real ) > real > real > real ).

thf(func_def_2453,type,
    sK1620: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2454,type,
    sK1621: ( real > real ) > real > real > real ).

thf(func_def_2455,type,
    sK1622: real > real > ( real > real ) > real ).

thf(func_def_2456,type,
    sK1623: real > ( real > real ) > real ).

thf(func_def_2457,type,
    sK1624: real > ( real > real ) > real ).

thf(func_def_2458,type,
    sK1625: real > ( real > real ) > real ).

thf(func_def_2459,type,
    sK1626: real > ( real > real ) > real ).

thf(func_def_2460,type,
    sK1627: set_real > real > ( real > real ) > real ).

thf(func_def_2461,type,
    sK1628: set_real > real > ( real > real ) > real ).

thf(func_def_2462,type,
    sK1629: set_real > real > ( real > real ) > real ).

thf(func_def_2463,type,
    sK1630: set_real > real > ( real > real ) > real ).

thf(func_def_2464,type,
    sK1631: real > ( real > real ) > real ).

thf(func_def_2465,type,
    sK1632: real > real > ( real > real ) > real ).

thf(func_def_2466,type,
    sK1633: real > real > ( real > real ) > real ).

thf(func_def_2467,type,
    sK1634: ( nat > real ) > real > real > ( real > nat > real ) > nat ).

thf(func_def_2468,type,
    sK1635: ( nat > real ) > real > real > ( real > nat > real ) > real ).

thf(func_def_2469,type,
    sK1636: ( nat > real ) > real > real > ( real > nat > real ) > real ).

thf(func_def_2470,type,
    sK1637: real > real > ( real > nat > real ) > real ).

thf(func_def_2471,type,
    sK1638: real > ( real > nat > real ) > ( real > nat > real ) > nat ).

thf(func_def_2472,type,
    sK1639: ( nat > real ) > real > real ).

thf(func_def_2473,type,
    sK1640: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2474,type,
    sK1641: ( nat > real > real ) > nat ).

thf(func_def_2475,type,
    sK1642: ( nat > real > real ) > real ).

thf(func_def_2476,type,
    sK1643: nat > real > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2477,type,
    sK1644: ( nat > real > real ) > nat ).

thf(func_def_2478,type,
    sK1645: ( nat > real > real ) > real ).

thf(func_def_2479,type,
    sK1646: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2480,type,
    sK1647: nat > real > ( nat > real > real ) > real ).

thf(func_def_2481,type,
    sK1648: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_2482,type,
    sK1649: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2483,type,
    sK1650: nat > real > ( nat > real > real ) > real ).

thf(func_def_2484,type,
    sK1651: nat > ( real > real ) > ( nat > real > real ) > real > real ).

thf(func_def_2485,type,
    sK1652: nat > real > ( nat > real > real ) > nat ).

thf(func_def_2486,type,
    sK1653: nat > real > ( nat > real > real ) > real ).

thf(func_def_2487,type,
    sK1654: ( real > real ) > ( nat > real > real ) > nat > real > real ).

thf(func_def_2488,type,
    sK1655: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2489,type,
    sK1656: ( nat > real > real ) > nat ).

thf(func_def_2490,type,
    sK1657: ( nat > real > real ) > real ).

thf(func_def_2491,type,
    sK1658: real > nat > ( real > real ) > ( nat > real > real ) > real ).

thf(func_def_2492,type,
    sK1659: real > nat > ( nat > real > real ) > nat ).

thf(func_def_2493,type,
    sK1660: real > nat > ( nat > real > real ) > real ).

thf(func_def_2494,type,
    sK1661: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_2495,type,
    sK1662: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_2496,type,
    sK1663: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_2497,type,
    sK1664: nat > real > real > ( nat > real > real ) > nat ).

thf(func_def_2498,type,
    sK1665: nat > real > real > ( nat > real > real ) > real ).

thf(func_def_2499,type,
    sK1666: real > real > ( real > real ) > ( nat > real > real ) > nat > real ).

thf(func_def_2500,type,
    sK1667: ( real > real ) > ( nat > real > real ) > real > real > nat > real ).

thf(func_def_2501,type,
    sK1668: real > real > ( nat > real > real ) > nat > nat ).

thf(func_def_2502,type,
    sK1669: real > real > ( nat > real > real ) > nat > real ).

thf(func_def_2503,type,
    sK1670: ( nat > real > real ) > real > nat > nat ).

thf(func_def_2504,type,
    sK1671: ( nat > real > real ) > real > nat > real ).

thf(func_def_2505,type,
    sK1672: real > ( real > real ) > real ).

thf(func_def_2506,type,
    sK1673: real > ( real > real ) > real ).

thf(func_def_2507,type,
    sK1674: real > ( real > real ) > real ).

thf(func_def_2508,type,
    sK1675: ( nat > real ) > real ).

thf(func_def_2509,type,
    sK1676: real > ( nat > real ) > nat ).

thf(func_def_2510,type,
    sK1677: ( nat > real ) > ( nat > real ) > real ).

thf(func_def_2511,type,
    sK1678: ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_2512,type,
    sK1679: ( nat > real ) > nat ).

thf(func_def_2513,type,
    sK1680: ( nat > real ) > nat ).

thf(func_def_2514,type,
    sK1681: ( nat > real ) > real ).

thf(func_def_2515,type,
    sK1682: nat > ( nat > real ) > nat ).

thf(func_def_2516,type,
    sK1683: real > ( nat > real ) > real ).

thf(func_def_2517,type,
    sK1684: real > ( nat > real ) > nat ).

thf(func_def_2518,type,
    sK1685: ( nat > real ) > nat ).

thf(func_def_2519,type,
    sK1686: ( nat > real ) > nat ).

thf(func_def_2520,type,
    sK1687: ( nat > real ) > nat ).

thf(func_def_2521,type,
    sK1688: real > ( nat > real ) > nat > int ).

thf(func_def_2522,type,
    sK1689: ( nat > real ) > nat > int ).

thf(func_def_2523,type,
    sK1690: ( nat > real ) > nat ).

thf(func_def_2524,type,
    sK1691: ( nat > real ) > nat ).

thf(func_def_2525,type,
    sK1692: ( nat > real ) > nat ).

thf(func_def_2526,type,
    sK1693: ( nat > real ) > nat ).

thf(func_def_2527,type,
    sK1694: ( nat > real ) > real ).

thf(func_def_2528,type,
    sK1695: ( nat > real ) > nat ).

thf(func_def_2529,type,
    sK1696: ( nat > real ) > nat ).

thf(func_def_2530,type,
    sK1697: ( nat > real ) > nat ).

thf(func_def_2531,type,
    sK1698: ( nat > real ) > nat ).

thf(func_def_2532,type,
    sK1699: ( nat > real ) > nat ).

thf(func_def_2533,type,
    sK1700: ( nat > real ) > nat ).

thf(func_def_2534,type,
    sK1701: ( nat > $o ) > nat > nat ).

thf(func_def_2535,type,
    sK1702: ( real > real ) > real > real ).

thf(func_def_2536,type,
    sK1703: ( real > real ) > real > real ).

thf(func_def_2537,type,
    sK1704: real > ( nat > real ) > nat ).

thf(func_def_2538,type,
    sK1705: ( nat > real ) > real ).

thf(func_def_2539,type,
    sK1706: real > ( nat > real ) > nat ).

thf(func_def_2540,type,
    sK1707: real > real > ( real > real ) > real ).

thf(func_def_2541,type,
    sK1708: real > real > ( real > real ) > real ).

thf(func_def_2542,type,
    sK1709: real > real > real > ( real > real ) > real ).

thf(func_def_2543,type,
    sK1710: ( real > real ) > real > real > real ).

thf(func_def_2544,type,
    sK1711: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2545,type,
    sK1712: ( real > real ) > real > real > real ).

thf(func_def_2546,type,
    sK1713: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2547,type,
    sK1714: ( real > real ) > real > real > real ).

thf(func_def_2548,type,
    sK1715: ( real > real ) > real > real > real ).

thf(func_def_2549,type,
    sK1716: ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2550,type,
    sK1717: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2551,type,
    sK1718: real > real > ( real > real ) > ( real > real ) > real ).

thf(func_def_2552,type,
    sK1719: real > real > ( real > real ) > real ).

thf(func_def_2553,type,
    sK1720: real > real > ( real > real ) > real ).

thf(func_def_2554,type,
    sK1721: ( real > real ) > ( real > real ) > ( real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2555,type,
    sK1722: real > real > ( real > real ) > real ).

thf(func_def_2556,type,
    sK1723: real > real > ( real > real ) > real ).

thf(func_def_2557,type,
    sK1724: real > real > ( real > real ) > real ).

thf(func_def_2558,type,
    sK1725: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2559,type,
    sK1726: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2560,type,
    sK1727: ( real > real ) > real > ( real > real ) > real > real ).

thf(func_def_2561,type,
    sK1728: ( real > real ) > real > real > real ).

thf(func_def_2562,type,
    sK1729: ( real > real ) > real > real > real ).

thf(func_def_2563,type,
    sK1730: ( real > real ) > real > real > real ).

thf(func_def_2564,type,
    sK1731: ( real > real ) > real > real > real ).

thf(func_def_2565,type,
    sK1732: ( real > real ) > set_real > real ).

thf(func_def_2566,type,
    sK1733: ( real > real ) > real > real > real ).

thf(func_def_2567,type,
    sK1734: ( real > real ) > real > real > real ).

thf(func_def_2568,type,
    sK1735: ( real > real ) > set_real > real ).

thf(func_def_2569,type,
    sK1736: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_2570,type,
    sK1737: ( real > real > real ) > real > real > real ).

thf(func_def_2571,type,
    sK1738: real > real > ( real > real ) > ( real > real > real ) > real ).

thf(func_def_2572,type,
    sK1739: ( real > real > real ) > ( real > real ) > real > real > real ).

thf(func_def_2573,type,
    sK1740: ( real > real ) > real > real > real ).

thf(func_def_2574,type,
    sK1741: ( real > real ) > real > real > real ).

thf(func_def_2575,type,
    sK1742: ( real > real ) > real > real > real ).

thf(func_def_2576,type,
    sK1743: ( real > real ) > real > real > real ).

thf(func_def_2577,type,
    sK1744: real > real > ( real > real ) > real ).

thf(func_def_2578,type,
    sK1745: ( real > real ) > real > real > real ).

thf(func_def_2579,type,
    sK1746: real > ( nat > real ) > nat ).

thf(func_def_2580,type,
    sK1747: ( nat > real ) > real ).

thf(func_def_2581,type,
    sK1748: real > ( nat > real ) > nat ).

thf(func_def_2582,type,
    sK1749: ( nat > real ) > nat ).

thf(func_def_2583,type,
    sK1750: ( real > real ) > real ).

thf(func_def_2584,type,
    sK1751: ( real > real ) > ( real > real ) > real ).

thf(func_def_2585,type,
    sK1752: nat > set_nat > nat ).

thf(func_def_2586,type,
    sK1753: ( nat > nat ) > ( nat > real ) > nat ).

thf(func_def_2587,type,
    sK1754: ( nat > real ) > nat ).

thf(func_def_2588,type,
    sK1755: ( nat > real ) > nat ).

thf(func_def_2589,type,
    sK1756: ( nat > real ) > nat ).

thf(func_def_2590,type,
    sK1757: ( rat > $o ) > int ).

thf(func_def_2591,type,
    sK1758: ( rat > $o ) > int ).

thf(func_def_2592,type,
    sK1759: nat > list_nat > nat ).

thf(func_def_2593,type,
    sK1760: nat > list_nat > list_nat ).

thf(func_def_2594,type,
    sK1761: nat > list_nat > nat ).

thf(func_def_2595,type,
    sK1762: nat > list_nat > list_nat ).

thf(func_def_2596,type,
    sK1763: real > real > rat ).

thf(func_def_2597,type,
    sK1764: ( real > $o ) > real ).

thf(func_def_2598,type,
    sK1765: nat > set_nat > nat ).

thf(func_def_2599,type,
    sK1766: set_real > real ).

thf(func_def_2600,type,
    sK1767: set_real > real ).

thf(func_def_2601,type,
    sK1768: nat > nat ).

thf(func_def_2602,type,
    sK1769: real > ( nat > real ) > real > real ).

thf(func_def_2603,type,
    sK1770: ( nat > $o ) > nat ).

thf(func_def_2604,type,
    sK1771: nat > ( nat > $o ) > nat ).

thf(func_def_2605,type,
    sK1772: filter_nat > nat ).

thf(func_def_2606,type,
    sK1773: ( nat > real ) > nat ).

thf(func_def_2607,type,
    sK1774: ( nat > real ) > nat ).

thf(func_def_2608,type,
    sK1775: ( nat > real ) > nat ).

thf(func_def_2609,type,
    sK1776: ( nat > real ) > nat ).

thf(func_def_2610,type,
    sK1777: ( nat > real ) > nat ).

thf(func_def_2611,type,
    sK1778: ( nat > real ) > nat ).

thf(func_def_2612,type,
    sK1779: ( nat > real ) > nat ).

thf(func_def_2613,type,
    sK1780: ( nat > real ) > nat ).

thf(func_def_2614,type,
    sK1781: ( nat > real ) > nat ).

thf(func_def_2615,type,
    sK1782: ( nat > real ) > nat ).

thf(func_def_2616,type,
    sK1783: ( nat > real ) > nat ).

thf(func_def_2617,type,
    sK1784: ( nat > real ) > nat ).

thf(func_def_2618,type,
    sK1785: ( nat > real ) > nat ).

thf(func_def_2619,type,
    sK1786: ( nat > real ) > nat ).

thf(func_def_2620,type,
    sK1787: ( nat > real ) > nat ).

thf(func_def_2621,type,
    sK1788: ( nat > real ) > nat ).

thf(func_def_2622,type,
    sK1789: ( nat > real ) > nat ).

thf(func_def_2623,type,
    sK1790: ( nat > real ) > nat ).

thf(func_def_2624,type,
    sK1791: ( nat > real ) > nat ).

thf(func_def_2625,type,
    sK1792: ( nat > real ) > nat ).

thf(func_def_2626,type,
    sK1793: ( nat > real ) > nat ).

thf(func_def_2627,type,
    sK1794: ( nat > real ) > nat ).

thf(func_def_2628,type,
    sK1795: ( nat > real ) > nat ).

thf(func_def_2629,type,
    sK1796: ( nat > real ) > nat ).

thf(func_def_2630,type,
    sK1797: ( nat > real ) > nat ).

thf(func_def_2631,type,
    sK1798: ( nat > real ) > nat ).

thf(func_def_2632,type,
    sK1799: ( nat > real ) > nat ).

thf(func_def_2633,type,
    sK1800: ( nat > real ) > nat ).

thf(func_def_2634,type,
    sK1801: nat > nat ).

thf(func_def_2635,type,
    sK1802: nat > nat ).

thf(func_def_2636,type,
    sK1803: nat > nat ).

thf(func_def_2637,type,
    sK1804: int > int > int ).

thf(func_def_2638,type,
    sK1805: nat > nat > nat ).

thf(func_def_2639,type,
    sK1806: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2640,type,
    sK1807: nat > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_2641,type,
    sK1808: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2642,type,
    sK1809: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2643,type,
    sK1810: nat > vEBT_VEBT > vEBT_VEBT ).

thf(func_def_2644,type,
    sK1811: nat > nat > nat ).

thf(func_def_2645,type,
    sK1812: int > int > int ).

thf(func_def_2646,type,
    sK1813: nat > set_nat > nat ).

thf(func_def_2647,type,
    sK1814: nat > set_nat > nat ).

thf(func_def_2648,type,
    sK1815: int > int > int ).

thf(func_def_2649,type,
    sK1816: int > int > int ).

thf(func_def_2650,type,
    sK1817: int > int > int ).

thf(func_def_2651,type,
    sK1818: int > int > int > int ).

thf(func_def_2652,type,
    sK1819: int > int > int > int ).

thf(func_def_2653,type,
    sK1820: int > int > int > int ).

thf(func_def_2654,type,
    sK1821: nat > set_nat > nat ).

thf(func_def_2655,type,
    sK1822: nat > set_nat > nat ).

thf(func_def_2656,type,
    sK1823: set_nat > nat > nat ).

thf(func_def_2657,type,
    sK1824: nat > ( real > $o ) > real > real ).

thf(func_def_2658,type,
    sK1825: nat > nat ).

thf(func_def_2659,type,
    sK1826: nat > nat ).

thf(func_def_2660,type,
    sK1827: nat > nat ).

thf(func_def_2661,type,
    sK1828: set_nat > nat ).

thf(func_def_2662,type,
    sK1829: nat > set_nat > nat ).

thf(func_def_2663,type,
    sK1830: set_nat > nat ).

thf(func_def_2664,type,
    sK1831: nat > set_nat > nat ).

thf(func_def_2665,type,
    sK1832: set_nat > nat ).

thf(func_def_2666,type,
    sK1833: set_nat > nat > nat ).

thf(func_def_2667,type,
    sK1834: nat > set_nat > nat ).

thf(func_def_2668,type,
    sK1835: set_nat > nat ).

thf(func_def_2669,type,
    sK1836: set_nat > nat > nat ).

thf(func_def_2670,type,
    sK1837: set_nat > nat > nat ).

thf(func_def_2671,type,
    sK1838: set_int > int ).

thf(func_def_2672,type,
    sK1839: int > set_int > int ).

thf(func_def_2673,type,
    sK1840: set_int > int ).

thf(func_def_2674,type,
    sK1841: int > set_int > int ).

thf(func_def_2675,type,
    sK1842: set_int > int ).

thf(func_def_2676,type,
    sK1843: int > set_int > int ).

thf(func_def_2677,type,
    sK1844: set_int > int ).

thf(func_def_2678,type,
    sK1845: int > set_int > int ).

thf(func_def_2679,type,
    sK1846: set_nat > nat > nat ).

thf(func_def_2680,type,
    sK1847: int > int ).

thf(func_def_2681,type,
    sK1848: int > int > int ).

thf(func_def_2682,type,
    sK1849: int > int > int ).

thf(func_def_2683,type,
    sK1850: int > int > int ).

thf(func_def_2684,type,
    sK1851: int > int > int ).

thf(func_def_2685,type,
    sK1852: int > int > int ).

thf(func_def_2686,type,
    sK1853: int > int > int ).

thf(func_def_2687,type,
    sK1854: nat > nat ).

thf(func_def_2688,type,
    sK1855: nat > nat ).

thf(func_def_2689,type,
    sK1856: set_nat > nat > nat ).

thf(func_def_2690,type,
    sK1857: set_nat > nat ).

thf(func_def_2691,type,
    sK1858: nat > set_nat > nat ).

thf(func_def_2692,type,
    sK1859: set_nat > nat ).

thf(func_def_2693,type,
    sK1860: nat > set_nat > nat ).

thf(func_def_2694,type,
    sK1861: set_nat > nat ).

thf(func_def_2695,type,
    sK1862: nat > set_nat > nat ).

thf(func_def_2696,type,
    sK1863: nat > nat ).

thf(func_def_2697,type,
    sK1864: set_nat > nat ).

thf(func_def_2698,type,
    sK1865: set_nat > nat ).

thf(func_def_2699,type,
    sK1866: nat > ( nat > $o ) > nat ).

thf(func_def_2700,type,
    sK1867: nat > ( nat > nat ) > nat ).

thf(func_def_2701,type,
    sK1868: nat > nat ).

thf(func_def_2702,type,
    sK1869: nat > nat ).

thf(func_def_2703,type,
    sK1870: nat > nat > nat ).

thf(func_def_2704,type,
    sK1871: nat > nat > nat ).

thf(func_def_2705,type,
    sK1872: int > nat > int ).

thf(func_def_2706,type,
    sK1873: int > nat > int ).

thf(func_def_2707,type,
    sK1874: int > int > nat > int ).

thf(func_def_2708,type,
    sK1875: ( nat > $o ) > nat > nat ).

thf(func_def_2709,type,
    sK1876: ( nat > $o ) > nat > nat ).

thf(func_def_2710,type,
    sK1877: ( nat > $o ) > nat > nat ).

thf(func_def_2711,type,
    sK1878: ( nat > $o ) > nat > nat ).

thf(func_def_2712,type,
    sK1879: set_int > ( int > $o ) > int > int ).

thf(func_def_2713,type,
    sK1880: int > ( int > $o ) > int ).

thf(func_def_2714,type,
    sK1881: set_int > ( int > $o ) > int > int ).

thf(func_def_2715,type,
    sK1882: set_int > ( int > $o ) > int > int ).

thf(func_def_2716,type,
    sK1883: int > ( int > $o ) > int ).

thf(func_def_2717,type,
    sK1884: set_int > ( int > $o ) > int > int ).

thf(func_def_2718,type,
    sK1885: ( int > $o ) > int ).

thf(func_def_2719,type,
    sK1886: set_int > ( int > $o ) > int > int ).

thf(func_def_2720,type,
    sK1887: int > ( int > $o ) > int ).

thf(func_def_2721,type,
    sK1888: set_int > ( int > $o ) > int > int ).

thf(func_def_2722,type,
    sK1889: set_int > ( int > $o ) > int > int ).

thf(func_def_2723,type,
    sK1890: int > ( int > $o ) > int ).

thf(func_def_2724,type,
    sK1891: set_int > ( int > $o ) > int > int ).

thf(func_def_2725,type,
    sK1892: set_int > ( int > $o ) > int > int ).

thf(func_def_2726,type,
    sK1893: int > ( int > $o ) > int ).

thf(func_def_2727,type,
    sK1894: set_int > ( int > $o ) > int > int ).

thf(func_def_2728,type,
    sK1895: set_int > ( int > $o ) > int > int ).

thf(func_def_2729,type,
    sK1896: int > ( int > $o ) > int ).

thf(func_def_2730,type,
    sK1897: set_int > ( int > $o ) > int > int ).

thf(func_def_2731,type,
    sK1898: ( int > $o ) > int ).

thf(func_def_2732,type,
    sK1899: set_int > ( int > $o ) > int > int ).

thf(func_def_2733,type,
    sK1900: int > ( int > $o ) > int ).

thf(func_def_2734,type,
    sK1901: set_int > ( int > $o ) > int > int ).

thf(func_def_2735,type,
    sK1902: set_int > ( int > $o ) > int > int ).

thf(func_def_2736,type,
    sK1903: int > ( int > $o ) > int ).

thf(func_def_2737,type,
    sK1904: set_int > ( int > $o ) > int > int ).

thf(func_def_2738,type,
    sK1905: ( int > $o ) > int ).

thf(func_def_2739,type,
    sK1906: set_int > ( int > $o ) > int > int ).

thf(func_def_2740,type,
    sK1907: int > ( int > $o ) > int ).

thf(func_def_2741,type,
    sK1908: set_int > ( int > $o ) > int > int ).

thf(func_def_2742,type,
    sK1909: set_int > ( int > $o ) > int > int ).

thf(func_def_2743,type,
    sK1910: int > ( int > $o ) > int ).

thf(func_def_2744,type,
    sK1911: set_int > ( int > $o ) > int > int ).

thf(func_def_2745,type,
    sK1912: set_int > ( int > $o ) > int > int ).

thf(func_def_2746,type,
    sK1913: int > ( int > $o ) > int ).

thf(func_def_2747,type,
    sK1914: set_int > ( int > $o ) > int > int ).

thf(func_def_2748,type,
    sK1915: set_int > ( int > $o ) > int > int ).

thf(func_def_2749,type,
    sK1916: int > ( int > $o ) > int ).

thf(func_def_2750,type,
    sK1917: set_int > ( int > $o ) > int > int ).

thf(func_def_2751,type,
    sK1918: ( int > $o ) > int ).

thf(func_def_2752,type,
    sK1919: set_int > ( int > $o ) > int > int ).

thf(func_def_2753,type,
    sK1920: int > ( int > $o ) > int ).

thf(func_def_2754,type,
    sK1921: set_int > ( int > $o ) > int > int ).

thf(func_def_2755,type,
    sK1922: set_int > ( int > $o ) > int > int ).

thf(func_def_2756,type,
    sK1923: int > ( int > $o ) > int ).

thf(func_def_2757,type,
    sK1924: set_int > ( int > $o ) > int > int ).

thf(func_def_2758,type,
    sK1925: ( int > $o ) > int ).

thf(func_def_2759,type,
    sK1926: set_int > ( int > $o ) > int > int ).

thf(func_def_2760,type,
    sK1927: int > ( int > $o ) > int ).

thf(func_def_2761,type,
    sK1928: set_int > ( int > $o ) > int > int ).

thf(func_def_2762,type,
    sK1929: set_int > ( int > $o ) > int > int ).

thf(func_def_2763,type,
    sK1930: int > ( int > $o ) > int ).

thf(func_def_2764,type,
    sK1931: set_int > ( int > $o ) > int > int ).

thf(func_def_2765,type,
    sK1932: set_int > ( int > $o ) > int > int ).

thf(func_def_2766,type,
    sK1933: int > ( int > $o ) > int ).

thf(func_def_2767,type,
    sK1934: set_int > ( int > $o ) > int > int ).

thf(func_def_2768,type,
    sK1935: set_int > ( int > $o ) > int > int ).

thf(func_def_2769,type,
    sK1936: int > ( int > $o ) > int ).

thf(func_def_2770,type,
    sK1937: set_int > ( int > $o ) > int > int ).

thf(func_def_2771,type,
    sK1938: ( int > $o ) > int ).

thf(func_def_2772,type,
    sK1939: set_int > ( int > $o ) > int > int ).

thf(func_def_2773,type,
    sK1940: int > ( int > $o ) > int ).

thf(func_def_2774,type,
    sK1941: set_int > ( int > $o ) > int > int ).

thf(func_def_2775,type,
    sK1942: set_int > ( int > $o ) > int > int ).

thf(func_def_2776,type,
    sK1943: int > ( int > $o ) > int ).

thf(func_def_2777,type,
    sK1944: set_int > ( int > $o ) > int > int ).

thf(func_def_2778,type,
    sK1945: ( int > $o ) > int ).

thf(func_def_2779,type,
    sK1946: set_int > ( int > $o ) > int > int ).

thf(func_def_2780,type,
    sK1947: int > ( int > $o ) > int ).

thf(func_def_2781,type,
    sK1948: set_int > ( int > $o ) > int > int ).

thf(func_def_2782,type,
    sK1949: set_int > ( int > $o ) > int > int ).

thf(func_def_2783,type,
    sK1950: int > ( int > $o ) > int ).

thf(func_def_2784,type,
    sK1951: set_int > ( int > $o ) > int > int ).

thf(func_def_2785,type,
    sK1952: set_int > ( int > $o ) > int > int ).

thf(func_def_2786,type,
    sK1953: int > ( int > $o ) > int ).

thf(func_def_2787,type,
    sK1954: set_int > ( int > $o ) > int > int ).

thf(func_def_2788,type,
    sK1955: set_int > ( int > $o ) > int > int ).

thf(func_def_2789,type,
    sK1956: int > ( int > $o ) > int ).

thf(func_def_2790,type,
    sK1957: set_int > ( int > $o ) > int > int ).

thf(func_def_2791,type,
    sK1958: ( int > $o ) > int ).

thf(func_def_2792,type,
    sK1959: set_int > ( int > $o ) > int > int ).

thf(func_def_2793,type,
    sK1960: int > ( int > $o ) > int ).

thf(func_def_2794,type,
    sK1961: set_int > ( int > $o ) > int > int ).

thf(func_def_2795,type,
    sK1962: set_int > ( int > $o ) > int > int ).

thf(func_def_2796,type,
    sK1963: int > ( int > $o ) > int ).

thf(func_def_2797,type,
    sK1964: set_int > ( int > $o ) > int > int ).

thf(func_def_2798,type,
    sK1965: ( int > $o ) > int ).

thf(func_def_2799,type,
    sK1966: set_int > ( int > $o ) > int > int ).

thf(func_def_2800,type,
    sK1967: int > ( int > $o ) > int ).

thf(func_def_2801,type,
    sK1968: set_int > ( int > $o ) > int > int ).

thf(func_def_2802,type,
    sK1969: set_int > ( int > $o ) > int > int ).

thf(func_def_2803,type,
    sK1970: int > ( int > $o ) > int ).

thf(func_def_2804,type,
    sK1971: set_int > ( int > $o ) > int > int ).

thf(func_def_2805,type,
    sK1972: set_int > ( int > $o ) > int > int ).

thf(func_def_2806,type,
    sK1973: int > ( int > $o ) > int ).

thf(func_def_2807,type,
    sK1974: set_int > ( int > $o ) > int > int ).

thf(func_def_2808,type,
    sK1975: set_int > ( int > $o ) > int > int ).

thf(func_def_2809,type,
    sK1976: int > ( int > $o ) > int ).

thf(func_def_2810,type,
    sK1977: set_int > ( int > $o ) > int > int ).

thf(func_def_2811,type,
    sK1978: ( int > $o ) > int ).

thf(func_def_2812,type,
    sK1979: set_int > ( int > $o ) > int > int ).

thf(func_def_2813,type,
    sK1980: int > ( int > $o ) > int ).

thf(func_def_2814,type,
    sK1981: set_int > ( int > $o ) > int > int ).

thf(func_def_2815,type,
    sK1982: set_int > ( int > $o ) > int > int ).

thf(func_def_2816,type,
    sK1983: int > ( int > $o ) > int ).

thf(func_def_2817,type,
    sK1984: set_int > ( int > $o ) > int > int ).

thf(func_def_2818,type,
    sK1985: ( int > $o ) > int ).

thf(func_def_2819,type,
    sK1986: set_int > ( int > $o ) > int > int ).

thf(func_def_2820,type,
    sK1987: int > ( int > $o ) > int ).

thf(func_def_2821,type,
    sK1988: set_int > ( int > $o ) > int > int ).

thf(func_def_2822,type,
    sK1989: set_int > ( int > $o ) > int > int ).

thf(func_def_2823,type,
    sK1990: int > ( int > $o ) > int ).

thf(func_def_2824,type,
    sK1991: set_int > ( int > $o ) > int > int ).

thf(func_def_2825,type,
    sK1992: set_int > ( int > $o ) > int > int ).

thf(func_def_2826,type,
    sK1993: int > ( int > $o ) > int ).

thf(func_def_2827,type,
    sK1994: set_int > ( int > $o ) > int > int ).

thf(func_def_2828,type,
    sK1995: set_int > ( int > $o ) > int > int ).

thf(func_def_2829,type,
    sK1996: int > ( int > $o ) > int ).

thf(func_def_2830,type,
    sK1997: set_int > ( int > $o ) > int > int ).

thf(func_def_2831,type,
    sK1998: ( int > $o ) > int ).

thf(func_def_2832,type,
    sK1999: ( int > $o ) > int > int ).

thf(func_def_2833,type,
    sK2000: ( int > $o ) > int > int ).

thf(func_def_2834,type,
    sK2001: ( int > $o ) > int ).

thf(func_def_2835,type,
    sK2002: nat > vEBT_VEBT > nat ).

thf(func_def_2836,type,
    sK2003: nat > ( nat > real ) > real > real ).

thf(func_def_2837,type,
    sK2004: nat > ( nat > real ) > nat ).

thf(func_def_2838,type,
    sK2005: nat > ( nat > complex ) > complex > complex ).

thf(func_def_2839,type,
    sK2006: nat > ( nat > complex ) > nat ).

thf(func_def_2840,type,
    sK2007: int > int > int > int > int ).

thf(func_def_2841,type,
    sK2008: int > int > int > int > int ).

thf(func_def_2842,type,
    sK2009: int > int > int > int > int ).

thf(func_def_2843,type,
    sK2010: int > int > int > int > int ).

thf(func_def_2844,type,
    sK2011: int > int > int > int > int ).

thf(func_def_2845,type,
    sK2012: int > int > int > int > int ).

thf(func_def_2846,type,
    sK2013: int > int > int > int > int ).

thf(func_def_2847,type,
    sK2014: set_int > set_int > int ).

thf(func_def_2848,type,
    sK2015: set_int > set_int > int ).

thf(func_def_2849,type,
    sK2016: set_int > set_int > int ).

thf(func_def_2850,type,
    sK2017: set_int > set_int > int ).

thf(func_def_2851,type,
    sK2018: set_int > set_int > int ).

thf(func_def_2852,type,
    sK2019: set_int > set_int > int ).

thf(func_def_2853,type,
    sK2020: set_int > set_int > int ).

thf(func_def_2854,type,
    sK2021: set_int > set_int > int ).

thf(func_def_2855,type,
    sK2022: set_int > set_int > int ).

thf(func_def_2856,type,
    sK2023: set_int > set_int > int ).

thf(func_def_2857,type,
    sK2024: set_int > set_int > int ).

thf(func_def_2858,type,
    sK2025: set_int > set_int > int ).

thf(func_def_2859,type,
    sK2026: set_int > set_int > int ).

thf(func_def_2860,type,
    sK2027: set_int > set_int > int ).

thf(func_def_2861,type,
    sK2028: ( nat > $o ) > nat > nat ).

thf(func_def_2862,type,
    sK2029: ( nat > $o ) > nat > nat ).

thf(func_def_2863,type,
    sK2030: ( nat > $o ) > nat > nat ).

thf(func_def_2864,type,
    sK2031: ( nat > $o ) > nat > nat ).

thf(func_def_2865,type,
    sK2032: real > real > real > real ).

thf(func_def_2866,type,
    sK2033: int > int > int > int ).

thf(func_def_2867,type,
    sK2034: real > real > real > real ).

thf(func_def_2868,type,
    sK2035: int > int > int > int ).

thf(func_def_2869,type,
    sK2036: nat > nat > nat > nat ).

thf(func_def_2870,type,
    sK2037: set_int > set_int > int ).

thf(func_def_2871,type,
    sK2038: set_int > set_int > int ).

thf(func_def_2872,type,
    sK2039: real > real > real > real > real ).

thf(func_def_2873,type,
    sK2040: real > real > real > real > real ).

thf(func_def_2874,type,
    sK2041: int > int > int > int > int ).

thf(func_def_2875,type,
    sK2042: int > int > int > int > int ).

thf(func_def_2876,type,
    sK2043: nat > nat > nat > nat > nat ).

thf(func_def_2877,type,
    sK2044: nat > nat > nat > nat > nat ).

thf(func_def_2878,type,
    sK2045: set_int > set_int > int ).

thf(func_def_2879,type,
    sK2046: set_int > set_int > int ).

thf(func_def_2880,type,
    sK2047: set_int > set_int > int ).

thf(func_def_2881,type,
    sK2048: set_int > set_int > int ).

thf(func_def_2882,type,
    sK2049: set_int > set_int > int ).

thf(func_def_2883,type,
    sK2050: set_int > set_int > int ).

thf(func_def_2884,type,
    sK2051: set_int > set_int > int ).

thf(func_def_2885,type,
    sK2052: set_int > set_int > int ).

thf(func_def_2886,type,
    sK2053: set_int > set_int > int ).

thf(func_def_2887,type,
    sK2054: set_int > set_int > int ).

thf(func_def_2888,type,
    sK2055: real > real > real ).

thf(func_def_2889,type,
    sK2056: int > int > int ).

thf(func_def_2890,type,
    sK2057: nat > nat > nat ).

thf(func_def_2891,type,
    sK2058: int > int > int ).

thf(func_def_2892,type,
    sK2059: int > int > int ).

thf(func_def_2893,type,
    sK2060: real > real > real ).

thf(func_def_2894,type,
    sK2061: int > int > int ).

thf(func_def_2895,type,
    sK2062: nat > nat > nat ).

thf(func_def_2896,type,
    sK2063: nat > ( nat > real ) > real ).

thf(func_def_2897,type,
    sK2064: nat > ( nat > real ) > nat ).

thf(func_def_2898,type,
    sK2065: nat > ( nat > complex ) > complex ).

thf(func_def_2899,type,
    sK2066: nat > ( nat > complex ) > nat ).

thf(func_def_2900,type,
    sK2067: nat > ( nat > real ) > ( nat > real ) > real ).

thf(func_def_2901,type,
    sK2068: nat > ( nat > real ) > ( nat > real ) > nat ).

thf(func_def_2902,type,
    sK2069: nat > ( nat > complex ) > ( nat > complex ) > complex ).

thf(func_def_2903,type,
    sK2070: nat > ( nat > complex ) > ( nat > complex ) > nat ).

thf(func_def_2904,type,
    sK2071: int > int > int ).

thf(func_def_2905,type,
    sK2072: nat > nat > nat ).

thf(func_def_2906,type,
    sK2073: set_int > set_int > int ).

thf(func_def_2907,type,
    sK2074: set_int > set_int > int ).

thf(func_def_2908,type,
    sK2075: ( nat > set_int ) > int ).

thf(func_def_2909,type,
    sK2076: ( nat > set_int ) > int ).

thf(func_def_2910,type,
    sK2077: ( nat > set_int ) > int ).

thf(func_def_2911,type,
    sK2078: ( nat > set_int ) > int ).

thf(func_def_2912,type,
    sK2079: nat > nat ).

thf(func_def_2913,type,
    sK2080: ( nat > int ) > nat ).

thf(func_def_2914,type,
    sK2081: ( nat > nat ) > nat ).

thf(func_def_2915,type,
    sK2082: ( nat > real ) > nat ).

thf(func_def_2916,type,
    sK2083: ( nat > int ) > nat ).

thf(func_def_2917,type,
    sK2084: ( nat > nat ) > nat ).

thf(func_def_2918,type,
    sK2085: ( nat > real ) > nat ).

thf(func_def_2919,type,
    sK2086: vEBT_VEBT > nat > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_2920,type,
    sK2087: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2921,type,
    sK2088: int > nat > ( int > $o ) > int ).

thf(func_def_2922,type,
    sK2089: vEBT_VEBT > nat > ( vEBT_VEBT > $o ) > vEBT_VEBT ).

thf(func_def_2923,type,
    sK2090: nat > nat > ( nat > $o ) > nat ).

thf(func_def_2924,type,
    sK2091: int > nat > ( int > $o ) > int ).

thf(func_def_2925,type,
    sK2092: nat > vEBT_VEBT > nat ).

thf(func_def_2926,type,
    sK2093: nat > ( nat > real ) > nat ).

thf(func_def_2927,type,
    sK2094: nat > ( nat > real ) > nat ).

thf(func_def_2928,type,
    sK2095: nat > ( nat > real ) > nat ).

thf(func_def_2929,type,
    sK2096: nat > ( nat > real ) > nat ).

thf(func_def_2930,type,
    sK2097: real > ( nat > complex ) > nat ).

thf(func_def_2931,type,
    sK2098: real > ( nat > complex ) > nat ).

thf(func_def_2932,type,
    sK2099: real > ( nat > complex ) > nat ).

thf(func_def_2933,type,
    sK2100: real > ( nat > complex ) > nat ).

thf(func_def_2934,type,
    sK2101: ( nat > real ) > nat ).

thf(func_def_2935,type,
    sK2102: nat > ( nat > real ) > nat ).

thf(func_def_2936,type,
    sK2103: nat > ( nat > real ) > nat ).

thf(func_def_2937,type,
    sK2104: ( nat > real ) > nat ).

thf(func_def_2938,type,
    sK2105: nat > ( nat > real ) > nat ).

thf(func_def_2939,type,
    sK2106: nat > ( nat > real ) > nat ).

thf(func_def_2940,type,
    sK2107: ( nat > real ) > nat ).

thf(func_def_2941,type,
    sK2108: nat > ( nat > real ) > nat ).

thf(func_def_2942,type,
    sK2109: nat > ( nat > real ) > nat ).

thf(func_def_2943,type,
    sK2110: ( nat > real ) > nat ).

thf(func_def_2944,type,
    sK2111: nat > ( nat > real ) > nat ).

thf(func_def_2945,type,
    sK2112: nat > ( nat > real ) > nat ).

thf(func_def_2946,type,
    sK2113: ( nat > complex ) > real ).

thf(func_def_2947,type,
    sK2114: nat > ( nat > complex ) > nat ).

thf(func_def_2948,type,
    sK2115: nat > ( nat > complex ) > nat ).

thf(func_def_2949,type,
    sK2116: ( nat > complex ) > real ).

thf(func_def_2950,type,
    sK2117: nat > ( nat > complex ) > nat ).

thf(func_def_2951,type,
    sK2118: nat > ( nat > complex ) > nat ).

thf(func_def_2952,type,
    sK2119: ( nat > complex ) > real ).

thf(func_def_2953,type,
    sK2120: nat > ( nat > complex ) > nat ).

thf(func_def_2954,type,
    sK2121: nat > ( nat > complex ) > nat ).

thf(func_def_2955,type,
    sK2122: ( nat > complex ) > real ).

thf(func_def_2956,type,
    sK2123: nat > ( nat > complex ) > nat ).

thf(func_def_2957,type,
    sK2124: nat > ( nat > complex ) > nat ).

thf(func_def_2958,type,
    sK2125: code_integer > code_integer > code_integer ).

thf(func_def_2959,type,
    sK2126: code_integer > code_integer > code_integer ).

thf(func_def_2960,type,
    sK2127: int > int > int ).

thf(func_def_2961,type,
    sK2128: int > int > int ).

thf(func_def_2962,type,
    sK2129: int > int > int ).

thf(func_def_2963,type,
    sK2130: int > int > int ).

thf(func_def_2964,type,
    sK2131: int > int > int ).

thf(func_def_2965,type,
    sK2132: int > int > int ).

thf(func_def_2966,type,
    sK2133: nat > nat > nat ).

thf(func_def_2967,type,
    sK2134: nat > nat > nat ).

thf(func_def_2968,type,
    sK2135: real > real > real ).

thf(func_def_2969,type,
    sK2136: real > real > real ).

thf(func_def_2970,type,
    sK2137: complex > complex > complex ).

thf(func_def_2971,type,
    sK2138: complex > complex > complex ).

thf(func_def_2972,type,
    sK2139: int > int > int ).

thf(func_def_2973,type,
    sK2140: int > int > int ).

thf(func_def_2974,type,
    sK2141: code_integer > code_integer > code_integer ).

thf(func_def_2975,type,
    sK2142: nat > nat > nat ).

thf(func_def_2976,type,
    sK2143: nat > nat > nat ).

thf(func_def_2977,type,
    sK2144: real > real > real ).

thf(func_def_2978,type,
    sK2145: real > real > real ).

thf(func_def_2979,type,
    sK2146: complex > complex > complex ).

thf(func_def_2980,type,
    sK2147: complex > complex > complex ).

thf(func_def_2981,type,
    sK2148: nat > list_o > int ).

thf(func_def_2982,type,
    sK2149: nat > list_o > int ).

thf(func_def_2983,type,
    sK2150: nat > list_o > nat ).

thf(func_def_2984,type,
    sK2151: nat > list_o > nat ).

thf(func_def_2985,type,
    sK2152: nat > list_o > code_integer ).

thf(func_def_2986,type,
    sK2153: nat > list_o > code_integer ).

thf(func_def_2987,type,
    sK2154: nat > nat > nat > nat ).

thf(func_def_2988,type,
    sK2155: nat > nat > nat > nat ).

thf(func_def_2989,type,
    sK2156: nat > nat > nat > nat ).

thf(func_def_2990,type,
    sK2157: int > nat > nat > int ).

thf(func_def_2991,type,
    sK2158: int > nat > nat > int ).

thf(func_def_2992,type,
    sK2159: int > nat > nat > int ).

thf(func_def_2993,type,
    sK2160: nat > nat ).

thf(func_def_2994,type,
    sK2161: nat > nat > nat ).

thf(func_def_2995,type,
    sK2162: nat > nat > nat ).

thf(func_def_2996,type,
    sK2163: int > int ).

thf(func_def_2997,type,
    sK2164: int > nat > int ).

thf(func_def_2998,type,
    sK2165: int > nat > int ).

thf(func_def_2999,type,
    sK2166: code_integer > code_integer ).

thf(func_def_3000,type,
    sK2167: code_integer > nat > code_integer ).

thf(func_def_3001,type,
    sK2168: code_integer > nat > code_integer ).

thf(func_def_3002,type,
    sK2169: real > nat ).

thf(func_def_3003,type,
    sK2170: real > int ).

thf(func_def_3004,type,
    sK2171: real > int ).

thf(func_def_3005,type,
    sK2172: real > int ).

thf(func_def_3006,type,
    sK2173: int > int ).

thf(func_def_3007,type,
    sK2174: real > int ).

thf(func_def_3008,type,
    sK2175: int > int ).

thf(func_def_3009,type,
    sK2176: int > int ).

thf(func_def_3010,type,
    sK2177: int > code_integer ).

thf(func_def_3011,type,
    sK2178: int > int ).

thf(func_def_3012,type,
    sK2179: rat > ( int > $o ) > int ).

thf(func_def_3013,type,
    sK2180: real > ( int > $o ) > int ).

thf(func_def_3014,type,
    sK2181: rat > ( int > $o ) > int ).

thf(func_def_3015,type,
    sK2182: real > ( int > $o ) > int ).

thf(func_def_3016,type,
    sK2183: real > int ).

thf(func_def_3017,type,
    sK2184: rat > int ).

thf(func_def_3018,type,
    sK2185: rat > int ).

thf(func_def_3019,type,
    sK2186: real > int ).

thf(func_def_3020,type,
    sK2187: int > int ).

thf(func_def_3021,type,
    sK2188: real > nat ).

thf(func_def_3022,type,
    sK2189: real > nat ).

thf(func_def_3023,type,
    sK2190: nat > nat ).

thf(func_def_3024,type,
    sK2191: nat > nat ).

thf(func_def_3025,type,
    sK2192: real > nat ).

thf(func_def_3026,type,
    sK2193: real > nat ).

thf(func_def_3027,type,
    sK2194: real > nat ).

thf(func_def_3028,type,
    sK2195: real > nat ).

thf(func_def_3029,type,
    sK2196: real > nat ).

thf(func_def_3030,type,
    sK2197: real > nat ).

thf(func_def_3031,type,
    sK2198: real > nat ).

thf(func_def_3032,type,
    sK2199: real > nat ).

thf(func_def_3033,type,
    sK2200: int > nat ).

thf(func_def_3034,type,
    sK2201: int > int ).

thf(func_def_3035,type,
    sK2202: nat > int > int ).

thf(func_def_3036,type,
    sK2203: nat > int > nat ).

thf(func_def_3037,type,
    sK2204: nat > int > nat ).

thf(func_def_3038,type,
    sK2205: nat > int > nat ).

thf(func_def_3039,type,
    sK2206: nat > int > nat ).

thf(func_def_3040,type,
    sK2207: nat > int > nat ).

thf(func_def_3041,type,
    sK2208: nat > int > nat ).

thf(func_def_3042,type,
    sK2209: nat > int > int ).

thf(func_def_3043,type,
    sK2210: int > ( nat > $o ) > nat ).

thf(func_def_3044,type,
    sK2211: int > ( nat > $o ) > nat ).

thf(func_def_3045,type,
    sK2212: int > nat > int ).

thf(func_def_3046,type,
    sK2213: nat > int ).

thf(func_def_3047,type,
    sK2214: nat > nat ).

thf(func_def_3048,type,
    sK2215: nat > code_integer ).

thf(func_def_3049,type,
    sK2216: nat > int > int ).

thf(func_def_3050,type,
    sK2217: nat > int > int ).

thf(func_def_3051,type,
    sK2218: nat > int > int ).

thf(func_def_3052,type,
    sK2219: nat > nat > nat ).

thf(func_def_3053,type,
    sK2220: nat > int > int ).

thf(func_def_3054,type,
    sK2221: int > int > int > int ).

thf(func_def_3055,type,
    sK2222: int > int > int > int ).

thf(func_def_3056,type,
    sK2223: int > int > int > int ).

thf(func_def_3057,type,
    sK2224: int > int > int > int ).

thf(func_def_3058,type,
    sK2225: int > int > int > int ).

thf(func_def_3059,type,
    sK2226: int > int > int > int ).

thf(func_def_3060,type,
    sK2227: int > int > int > int ).

thf(func_def_3061,type,
    sK2228: int > int > int > int ).

thf(func_def_3062,type,
    sK2229: int > int > int > int ).

thf(func_def_3063,type,
    sK2230: int > int > int > int ).

thf(func_def_3064,type,
    sK2231: int > int > int > int ).

thf(func_def_3065,type,
    sK2232: int > int > int > int ).

thf(func_def_3066,type,
    sK2233: int > int > int > int ).

thf(func_def_3067,type,
    sK2234: int > int > int > int ).

thf(func_def_3068,type,
    sK2235: nat > int > int ).

thf(func_def_3069,type,
    sK2236: nat > int > int ).

thf(func_def_3070,type,
    sK2237: int > int > int ).

thf(func_def_3071,type,
    sK2238: int > int > int ).

thf(func_def_3072,type,
    sK2239: int > int ).

thf(func_def_3073,type,
    sK2240: int > int ).

thf(func_def_3074,type,
    sK2241: int > int ).

thf(func_def_3075,type,
    sK2242: int > int ).

thf(func_def_3076,type,
    sK2243: nat > nat > nat ).

thf(func_def_3077,type,
    sK2244: nat > nat > nat ).

thf(func_def_3078,type,
    sK2245: nat > nat ).

thf(func_def_3079,type,
    sK2246: nat > nat ).

thf(func_def_3080,type,
    sK2247: int > int > int ).

thf(func_def_3081,type,
    sK2248: int > int > int ).

thf(func_def_3082,type,
    sK2249: int > int ).

thf(func_def_3083,type,
    sK2250: int > int ).

thf(func_def_3084,type,
    sK2251: code_integer > code_integer > code_integer ).

thf(func_def_3085,type,
    sK2252: code_integer > code_integer > code_integer ).

thf(func_def_3086,type,
    sK2253: code_integer > code_integer ).

thf(func_def_3087,type,
    sK2254: code_integer > code_integer ).

thf(func_def_3088,type,
    sK2255: int > int > int ).

thf(func_def_3089,type,
    sK2256: int > int > nat > int ).

thf(func_def_3090,type,
    sK2257: int > int > nat > int ).

thf(func_def_3091,type,
    sK2258: int > nat > int ).

thf(func_def_3092,type,
    sK2259: nat > int > int ).

thf(func_def_3093,type,
    sK2260: nat > int > int ).

thf(func_def_3094,type,
    sK2261: nat > int > int ).

thf(func_def_3095,type,
    sK2262: nat > nat > nat > nat ).

thf(func_def_3096,type,
    sK2263: nat > nat > nat > nat ).

thf(func_def_3097,type,
    sK2264: nat > nat > nat ).

thf(func_def_3098,type,
    sK2265: nat > nat > nat ).

thf(func_def_3099,type,
    sK2266: int > int > nat > int ).

thf(func_def_3100,type,
    sK2267: int > int > nat > int ).

thf(func_def_3101,type,
    sK2268: int > nat > int ).

thf(func_def_3102,type,
    sK2269: nat > int > int ).

thf(func_def_3103,type,
    sK2270: int > int > int ).

thf(func_def_3104,type,
    sK2271: int > int ).

thf(func_def_3105,type,
    sK2272: int > int ).

thf(func_def_3106,type,
    sK2273: code_integer > code_integer ).

thf(func_def_3107,type,
    sK2274: code_integer > code_integer ).

thf(func_def_3108,type,
    sK2275: int > int > int ).

thf(func_def_3109,type,
    sK2276: int > int > int ).

thf(func_def_3110,type,
    sK2277: int > int > int ).

thf(func_def_3111,type,
    sK2278: int > int > int ).

thf(func_def_3112,type,
    sK2279: num > nat ).

thf(func_def_3113,type,
    sK2280: nat > nat ).

thf(func_def_3114,type,
    sK2281: nat > nat ).

thf(func_def_3115,type,
    sK2282: nat > nat > nat > nat ).

thf(func_def_3116,type,
    sK2283: nat > nat > nat > nat ).

thf(func_def_3117,type,
    sK2284: nat > nat ).

thf(func_def_3118,type,
    sK2285: nat > nat > nat ).

thf(func_def_3119,type,
    sK2286: nat > nat > nat ).

thf(func_def_3120,type,
    sK2287: nat > nat ).

thf(func_def_3121,type,
    sK2288: int > int > nat > int ).

thf(func_def_3122,type,
    sK2289: int > int > nat > int ).

thf(func_def_3123,type,
    sK2290: int > int ).

thf(func_def_3124,type,
    sK2291: int > nat > int ).

thf(func_def_3125,type,
    sK2292: int > nat > int ).

thf(func_def_3126,type,
    sK2293: int > int ).

thf(func_def_3127,type,
    sK2294: code_integer > code_integer > nat > code_integer ).

thf(func_def_3128,type,
    sK2295: code_integer > code_integer > nat > code_integer ).

thf(func_def_3129,type,
    sK2296: code_integer > code_integer ).

thf(func_def_3130,type,
    sK2297: code_integer > nat > code_integer ).

thf(func_def_3131,type,
    sK2298: code_integer > nat > code_integer ).

thf(func_def_3132,type,
    sK2299: code_integer > code_integer ).

thf(func_def_3133,type,
    sK2300: nat > nat > nat ).

thf(func_def_3134,type,
    sK2301: nat > nat ).

thf(func_def_3135,type,
    sK2302: nat > nat ).

thf(func_def_3136,type,
    sK2303: nat > nat > nat ).

thf(func_def_3137,type,
    sK2304: nat > nat ).

thf(func_def_3138,type,
    sK2305: nat > int > int ).

thf(func_def_3139,type,
    sK2306: int > int ).

thf(func_def_3140,type,
    sK2307: int > int ).

thf(func_def_3141,type,
    sK2308: nat > int > int ).

thf(func_def_3142,type,
    sK2309: int > int ).

thf(func_def_3143,type,
    sK2310: nat > code_integer > code_integer ).

thf(func_def_3144,type,
    sK2311: code_integer > code_integer ).

thf(func_def_3145,type,
    sK2312: code_integer > code_integer ).

thf(func_def_3146,type,
    sK2313: nat > code_integer > code_integer ).

thf(func_def_3147,type,
    sK2314: code_integer > code_integer ).

thf(func_def_3148,type,
    sK2315: nat > nat > nat ).

thf(func_def_3149,type,
    sK2316: nat > nat > nat ).

thf(func_def_3150,type,
    sK2317: nat > int > int ).

thf(func_def_3151,type,
    sK2318: nat > int > int ).

thf(func_def_3152,type,
    sK2319: nat > code_integer > code_integer ).

thf(func_def_3153,type,
    sK2320: nat > code_integer > code_integer ).

thf(func_def_3154,type,
    sK2321: nat > int > int ).

thf(func_def_3155,type,
    sK2322: int > int ).

thf(func_def_3156,type,
    sK2323: int > int ).

thf(func_def_3157,type,
    sK2324: int > int ).

thf(func_def_3158,type,
    sK2325: int > int ).

thf(func_def_3159,type,
    sK2326: nat > nat ).

thf(func_def_3160,type,
    sK2327: nat > nat ).

thf(func_def_3161,type,
    sK2328: int > int ).

thf(func_def_3162,type,
    sK2329: int > int ).

thf(func_def_3163,type,
    sK2330: code_integer > code_integer ).

thf(func_def_3164,type,
    sK2331: code_integer > code_integer ).

thf(func_def_3165,type,
    sK2332: nat > nat ).

thf(func_def_3166,type,
    sK2333: nat > nat > nat ).

thf(func_def_3167,type,
    sK2334: int > int ).

thf(func_def_3168,type,
    sK2335: nat > int > int ).

thf(func_def_3169,type,
    sK2336: code_integer > code_integer ).

thf(func_def_3170,type,
    sK2337: nat > code_integer > code_integer ).

thf(func_def_3171,type,
    sK2338: nat > nat > nat ).

thf(func_def_3172,type,
    sK2339: nat > nat > nat ).

thf(func_def_3173,type,
    sK2340: nat > int > int ).

thf(func_def_3174,type,
    sK2341: nat > int > int ).

thf(func_def_3175,type,
    sK2342: nat > code_integer > code_integer ).

thf(func_def_3176,type,
    sK2343: nat > code_integer > code_integer ).

thf(func_def_3177,type,
    sK2344: nat > nat > nat ).

thf(func_def_3178,type,
    sK2345: int > nat > int ).

thf(func_def_3179,type,
    sK2346: nat > nat > real ).

thf(func_def_3180,type,
    sK2347: nat > nat > nat ).

thf(func_def_3181,type,
    sK2348: nat > nat > int ).

thf(func_def_3182,type,
    sK2349: nat > nat > code_integer ).

thf(func_def_3183,type,
    sK2350: int > nat > nat > int > int ).

thf(func_def_3184,type,
    sK2351: int > nat > nat > int > int ).

thf(func_def_3185,type,
    sK2352: int > nat > nat > int > int ).

thf(func_def_3186,type,
    sK2353: int > nat > nat > int > int ).

thf(func_def_3187,type,
    sK2354: int > nat > int ).

thf(func_def_3188,type,
    sK2355: int > nat > nat > int ).

thf(func_def_3189,type,
    sK2356: int > nat > int ).

thf(func_def_3190,type,
    sK2357: nat > nat > real ).

thf(func_def_3191,type,
    sK2358: nat > nat > nat ).

thf(func_def_3192,type,
    sK2359: nat > nat > int ).

thf(func_def_3193,type,
    sK2360: nat > nat > code_integer ).

thf(func_def_3194,type,
    sK2361: nat > int > int ).

thf(func_def_3195,type,
    sK2362: nat > int > int ).

thf(func_def_3196,type,
    sK2363: nat > nat > nat ).

thf(func_def_3197,type,
    sK2364: nat > nat > real ).

thf(func_def_3198,type,
    sK2365: nat > nat > nat ).

thf(func_def_3199,type,
    sK2366: nat > nat > code_integer ).

thf(func_def_3200,type,
    sK2367: nat > nat > int ).

thf(func_def_3201,type,
    sK2368: nat > $o > nat ).

thf(func_def_3202,type,
    sK2369: nat > $o > nat ).

thf(func_def_3203,type,
    sK2370: nat > $o > int ).

thf(func_def_3204,type,
    sK2371: nat > $o > int ).

thf(func_def_3205,type,
    sK2372: nat > $o > code_integer ).

thf(func_def_3206,type,
    sK2373: nat > $o > code_integer ).

thf(func_def_3207,type,
    sK2374: nat > nat > nat > nat ).

thf(func_def_3208,type,
    sK2375: nat > nat > nat > nat ).

thf(func_def_3209,type,
    sK2376: nat > nat > nat ).

thf(func_def_3210,type,
    sK2377: int > nat > nat > int ).

thf(func_def_3211,type,
    sK2378: int > nat > nat > int ).

thf(func_def_3212,type,
    sK2379: int > nat > int ).

thf(func_def_3213,type,
    sK2380: num > nat ).

thf(func_def_3214,type,
    sK2381: num > int ).

thf(func_def_3215,type,
    sK2382: nat > nat ).

thf(func_def_3216,type,
    sK2383: nat > int ).

thf(func_def_3217,type,
    sK2384: nat > nat ).

thf(func_def_3218,type,
    sK2385: nat > int ).

thf(func_def_3219,type,
    sK2386: int > int > nat > int ).

thf(func_def_3220,type,
    sK2387: nat > int > int ).

thf(func_def_3221,type,
    sK2388: int > nat > int ).

thf(func_def_3222,type,
    sK2389: int > int > nat > int ).

thf(func_def_3223,type,
    sK2390: nat > int > int ).

thf(func_def_3224,type,
    sK2391: int > nat > int ).

thf(func_def_3225,type,
    sK2392: nat > nat > nat > nat ).

thf(func_def_3226,type,
    sK2393: nat > nat > nat > nat ).

thf(func_def_3227,type,
    sK2394: nat > nat > nat ).

thf(func_def_3228,type,
    sK2395: int > nat > nat > int ).

thf(func_def_3229,type,
    sK2396: int > nat > nat > int ).

thf(func_def_3230,type,
    sK2397: int > nat > int ).

thf(func_def_3231,type,
    sK2398: int > int > nat > int ).

thf(func_def_3232,type,
    sK2399: nat > int > int ).

thf(func_def_3233,type,
    sK2400: int > nat > int ).

thf(func_def_3234,type,
    sK2401: int > int > nat > int ).

thf(func_def_3235,type,
    sK2402: nat > int > int ).

thf(func_def_3236,type,
    sK2403: int > nat > int ).

thf(func_def_3237,type,
    sK2404: nat > nat > nat > nat ).

thf(func_def_3238,type,
    sK2405: nat > nat > nat ).

thf(func_def_3239,type,
    sK2406: nat > nat > nat ).

thf(func_def_3240,type,
    sK2407: nat > nat > nat > nat ).

thf(func_def_3241,type,
    sK2408: nat > nat > nat ).

thf(func_def_3242,type,
    sK2409: nat > nat > nat ).

thf(func_def_3243,type,
    sK2410: code_integer > code_integer > code_integer ).

thf(func_def_3244,type,
    sK2411: int > int > int ).

thf(func_def_3245,type,
    sK2412: real > real > real ).

thf(func_def_3246,type,
    sK2413: nat > nat > nat > nat ).

thf(func_def_3247,type,
    sK2414: nat > nat > nat ).

thf(func_def_3248,type,
    sK2415: nat > nat > nat ).

thf(func_def_3249,type,
    sK2416: nat > nat > nat > nat ).

thf(func_def_3250,type,
    sK2417: nat > nat > nat ).

thf(func_def_3251,type,
    sK2418: nat > nat > nat ).

thf(func_def_3252,type,
    sK2419: int > int > nat > int ).

thf(func_def_3253,type,
    sK2420: nat > int > int ).

thf(func_def_3254,type,
    sK2421: int > nat > int ).

thf(func_def_3255,type,
    sK2422: int > int > nat > int ).

thf(func_def_3256,type,
    sK2423: nat > int > int ).

thf(func_def_3257,type,
    sK2424: int > nat > int ).

thf(func_def_3258,type,
    sK2425: nat > nat > nat ).

thf(func_def_3259,type,
    sK2426: nat > nat > nat ).

thf(func_def_3260,type,
    sK2427: nat > nat > int ).

thf(func_def_3261,type,
    sK2428: nat > nat > nat ).

thf(func_def_3262,type,
    sK2429: nat > num > nat ).

thf(func_def_3263,type,
    sK2430: nat > num > nat ).

thf(func_def_3264,type,
    sK2431: nat > num > int ).

thf(func_def_3265,type,
    sK2432: nat > num > nat ).

thf(func_def_3266,type,
    sK2433: nat > nat > nat ).

thf(func_def_3267,type,
    sK2434: nat > nat > nat ).

thf(func_def_3268,type,
    sK2435: nat > nat ).

thf(func_def_3269,type,
    sK2436: nat > int > int ).

thf(func_def_3270,type,
    sK2437: nat > int > int ).

thf(func_def_3271,type,
    sK2438: int > int ).

thf(func_def_3272,type,
    sK2439: nat > code_integer > code_integer ).

thf(func_def_3273,type,
    sK2440: nat > code_integer > code_integer ).

thf(func_def_3274,type,
    sK2441: code_integer > code_integer ).

thf(func_def_3275,type,
    sK2442: num > num > int ).

thf(func_def_3276,type,
    sK2443: num > num > int ).

thf(func_def_3277,type,
    sK2444: num > num > int ).

thf(func_def_3278,type,
    sK2445: num > num > int ).

thf(func_def_3279,type,
    sK2446: nat > nat ).

thf(func_def_3280,type,
    sK2447: nat > nat ).

thf(func_def_3281,type,
    sK2448: int > int ).

thf(func_def_3282,type,
    sK2449: int > int ).

thf(func_def_3283,type,
    sK2450: code_integer > code_integer ).

thf(func_def_3284,type,
    sK2451: code_integer > code_integer ).

thf(func_def_3285,type,
    sK2452: nat > num > int ).

thf(func_def_3286,type,
    sK2453: nat > num > int ).

thf(func_def_3287,type,
    sK2454: num > num > nat ).

thf(func_def_3288,type,
    sK2455: num > num > nat ).

thf(func_def_3289,type,
    sK2456: num > num > int ).

thf(func_def_3290,type,
    sK2457: num > num > int ).

thf(func_def_3291,type,
    sK2458: nat > num > int ).

thf(func_def_3292,type,
    sK2459: nat > num > int ).

thf(func_def_3293,type,
    sK2460: num > num > nat ).

thf(func_def_3294,type,
    sK2461: num > num > nat ).

thf(func_def_3295,type,
    sK2462: num > num > int ).

thf(func_def_3296,type,
    sK2463: num > num > int ).

thf(func_def_3297,type,
    sK2464: int > nat > int ).

thf(func_def_3298,type,
    sK2465: int > nat > int ).

thf(func_def_3299,type,
    sK2466: nat > num > nat ).

thf(func_def_3300,type,
    sK2467: nat > num > nat ).

thf(func_def_3301,type,
    sK2468: nat > num > int ).

thf(func_def_3302,type,
    sK2469: nat > num > int ).

thf(func_def_3303,type,
    sK2470: nat > num > nat ).

thf(func_def_3304,type,
    sK2471: nat > num > nat ).

thf(func_def_3305,type,
    sK2472: nat > num > int ).

thf(func_def_3306,type,
    sK2473: nat > num > int ).

thf(func_def_3307,type,
    sK2474: code_integer > code_integer > code_integer ).

thf(func_def_3308,type,
    sK2475: code_integer > code_integer > code_integer ).

thf(func_def_3309,type,
    sK2476: int > int > int ).

thf(func_def_3310,type,
    sK2477: int > int > int ).

thf(func_def_3311,type,
    sK2478: real > real > real ).

thf(func_def_3312,type,
    sK2479: real > real > real ).

thf(func_def_3313,type,
    sK2480: code_integer > code_integer > code_integer ).

thf(func_def_3314,type,
    sK2481: code_integer > code_integer > code_integer ).

thf(func_def_3315,type,
    sK2482: int > int > int ).

thf(func_def_3316,type,
    sK2483: int > int > int ).

thf(func_def_3317,type,
    sK2484: real > real > real ).

thf(func_def_3318,type,
    sK2485: real > real > real ).

thf(func_def_3319,type,
    sK2486: nat > nat ).

thf(func_def_3320,type,
    sK2487: nat > real > nat ).

thf(func_def_3321,type,
    sK2488: nat > rat > nat ).

thf(func_def_3322,type,
    sK2489: nat > complex > nat ).

thf(func_def_3323,type,
    sK2490: num > num > code_integer ).

thf(func_def_3324,type,
    sK2491: num > num > nat ).

thf(func_def_3325,type,
    sK2492: num > num > int ).

thf(func_def_3326,type,
    sK2493: set_int > set_int > int ).

thf(func_def_3327,type,
    sK2494: set_int > set_int > int ).

thf(func_def_3328,type,
    sK2495: set_int > set_int > int ).

thf(func_def_3329,type,
    sK2496: set_int > set_int > int ).

thf(func_def_3330,type,
    sK2497: set_int > set_int > int ).

thf(func_def_3331,type,
    sK2498: nat > nat ).

thf(func_def_3332,type,
    sK2499: int > int ).

thf(func_def_3333,type,
    sK2500: code_integer > code_integer ).

thf(func_def_3334,type,
    sK2501: nat > nat ).

thf(func_def_3335,type,
    sK2502: nat > nat ).

thf(func_def_3336,type,
    sK2503: nat > nat ).

thf(func_def_3337,type,
    sK2504: nat > nat ).

thf(func_def_3338,type,
    sK2505: nat > nat ).

thf(func_def_3339,type,
    sK2506: int > int > int > int > int ).

thf(func_def_3340,type,
    sK2507: int > int > int > int > int ).

thf(func_def_3341,type,
    sK2508: int > int > int > int > int ).

thf(func_def_3342,type,
    sK2509: int > int > int > int > int ).

thf(func_def_3343,type,
    sK2510: int > int > int > int > int ).

thf(func_def_3344,type,
    sK2511: int > int > int > int > int ).

thf(func_def_3345,type,
    sK2512: int > int > int > int > int ).

thf(func_def_3346,type,
    sK2513: int > int > int > int > int ).

thf(func_def_3347,type,
    sK2514: int > int > int > int > int ).

thf(func_def_3348,type,
    sK2515: int > int > int > int > int ).

thf(func_def_3349,type,
    sK2516: int > int > int > int > int ).

thf(func_def_3350,type,
    sK2517: int > int > int > int > int ).

thf(func_def_3351,type,
    sK2518: int > int > int > int > int ).

thf(func_def_3352,type,
    sK2519: int > int > int > int > int ).

thf(func_def_3353,type,
    sK2520: int > int > int > int > int ).

thf(func_def_3354,type,
    sK2521: int > int > int > int > int ).

thf(func_def_3355,type,
    sK2522: int > int > int > int > int ).

thf(func_def_3356,type,
    sK2523: int > int > int > int > int ).

thf(func_def_3357,type,
    sK2524: int > int > int > int > int ).

thf(func_def_3358,type,
    sK2525: int > int > int > int > int ).

thf(func_def_3359,type,
    sK2526: int > int > int > int > int ).

thf(func_def_3360,type,
    sK2527: int > int > int > int > int ).

thf(func_def_3361,type,
    sK2528: int > int > int > int > int ).

thf(func_def_3362,type,
    sK2529: int > int > int > int > int ).

thf(func_def_3363,type,
    sK2530: int > int > int > int > int ).

thf(func_def_3364,type,
    sK2531: int > int > int > int > int ).

thf(func_def_3365,type,
    sK2532: int > int > int > int > int ).

thf(func_def_3366,type,
    sK2533: int > int > int > int > int ).

thf(func_def_3367,type,
    sK2534: int > int > int > int > int ).

thf(func_def_3368,type,
    sK2535: int > int > int > int > int ).

thf(func_def_3369,type,
    sK2536: int > int > int > int > int ).

thf(func_def_3370,type,
    sK2537: nat > nat > nat ).

thf(func_def_3371,type,
    sK2538: int > nat > int ).

thf(func_def_3372,type,
    sK2539: code_integer > nat > code_integer ).

thf(func_def_3373,type,
    sK2540: nat > nat ).

thf(func_def_3374,type,
    sK2541: nat > nat ).

thf(func_def_3375,type,
    sK2542: nat > nat ).

thf(func_def_3376,type,
    sK2543: nat > nat ).

thf(func_def_3377,type,
    sK2544: nat > nat ).

thf(func_def_3378,type,
    sK2545: int > int > int ).

thf(func_def_3379,type,
    sK2546: int > int ).

thf(func_def_3380,type,
    sK2547: int > int > int ).

thf(func_def_3381,type,
    sK2548: int > int ).

thf(func_def_3382,type,
    sK2549: int > int ).

thf(func_def_3383,type,
    sK2550: int > int ).

thf(func_def_3384,type,
    sK2551: nat > nat > nat ).

thf(func_def_3385,type,
    sK2552: nat > nat ).

thf(func_def_3386,type,
    sK2553: nat > nat > nat ).

thf(func_def_3387,type,
    sK2554: nat > nat ).

thf(func_def_3388,type,
    sK2555: nat > nat ).

thf(func_def_3389,type,
    sK2556: nat > nat ).

thf(func_def_3390,type,
    sK2557: code_integer > code_integer > code_integer ).

thf(func_def_3391,type,
    sK2558: code_integer > code_integer ).

thf(func_def_3392,type,
    sK2559: code_integer > code_integer > code_integer ).

thf(func_def_3393,type,
    sK2560: code_integer > code_integer ).

thf(func_def_3394,type,
    sK2561: code_integer > code_integer ).

thf(func_def_3395,type,
    sK2562: code_integer > code_integer ).

thf(func_def_3396,type,
    sK2563: code_integer > code_integer ).

thf(func_def_3397,type,
    sK2564: code_integer > code_integer ).

thf(func_def_3398,type,
    sK2565: int > int ).

thf(func_def_3399,type,
    sK2566: int > int ).

thf(func_def_3400,type,
    sK2567: nat > nat > nat ).

thf(func_def_3401,type,
    sK2568: nat > nat > nat ).

thf(func_def_3402,type,
    sK2569: nat > nat > int ).

thf(func_def_3403,type,
    sK2570: nat > nat > nat ).

thf(func_def_3404,type,
    sK2571: nat > nat > code_integer ).

thf(func_def_3405,type,
    sK2572: nat > nat > nat ).

thf(func_def_3406,type,
    sK2573: set_int > set_int > int ).

thf(func_def_3407,type,
    sK2574: set_int > set_int > int ).

thf(func_def_3408,type,
    sK2575: set_int > set_int > int ).

thf(func_def_3409,type,
    sK2576: set_nat > set_nat > nat ).

thf(func_def_3410,type,
    sK2577: set_nat > set_nat > nat ).

thf(func_def_3411,type,
    sK2578: set_int > set_int > int ).

thf(func_def_3412,type,
    sK2579: set_int > set_int > int ).

thf(func_def_3413,type,
    sK2580: set_nat > set_nat > nat ).

thf(func_def_3414,type,
    sK2581: set_nat > set_nat > nat ).

thf(func_def_3415,type,
    sK2582: nat > nat ).

thf(func_def_3416,type,
    sK2583: nat > nat ).

thf(func_def_3417,type,
    sK2584: nat > int ).

thf(func_def_3418,type,
    sK2585: nat > nat ).

thf(func_def_3419,type,
    sK2586: nat > code_integer ).

thf(func_def_3420,type,
    sK2587: nat > nat ).

thf(func_def_3421,type,
    sK2588: nat > nat ).

thf(func_def_3422,type,
    sK2589: nat > nat ).

thf(func_def_3423,type,
    sK2590: nat > nat ).

thf(func_def_3424,type,
    sK2591: nat > nat ).

thf(func_def_3425,type,
    sK2592: nat > nat ).

thf(func_def_3426,type,
    sK2593: nat > nat ).

thf(func_def_3427,type,
    sK2594: nat > nat > nat ).

thf(func_def_3428,type,
    sK2595: nat > nat > nat ).

thf(func_def_3429,type,
    sK2596: int > int ).

thf(func_def_3430,type,
    sK2597: int > nat > int ).

thf(func_def_3431,type,
    sK2598: int > nat > int ).

thf(func_def_3432,type,
    sK2599: code_integer > code_integer ).

thf(func_def_3433,type,
    sK2600: code_integer > nat > code_integer ).

thf(func_def_3434,type,
    sK2601: code_integer > nat > code_integer ).

thf(func_def_3435,type,
    sK2602: nat > nat ).

thf(func_def_3436,type,
    sK2603: nat > nat ).

thf(func_def_3437,type,
    sK2604: nat > nat ).

thf(func_def_3438,type,
    sK2605: nat > nat ).

thf(func_def_3439,type,
    sK2606: nat > nat ).

thf(func_def_3440,type,
    sK2607: code_integer > code_integer > code_integer ).

thf(func_def_3441,type,
    sK2608: code_integer > code_integer > code_integer ).

thf(func_def_3442,type,
    sK2609: complex > complex > complex ).

thf(func_def_3443,type,
    sK2610: complex > complex > complex ).

thf(func_def_3444,type,
    sK2611: int > int > int ).

thf(func_def_3445,type,
    sK2612: int > int > int ).

thf(func_def_3446,type,
    sK2613: real > real > real ).

thf(func_def_3447,type,
    sK2614: real > real > real ).

thf(func_def_3448,type,
    sK2615: code_integer > code_integer > code_integer ).

thf(func_def_3449,type,
    sK2616: code_integer > code_integer > code_integer ).

thf(func_def_3450,type,
    sK2617: complex > complex > complex ).

thf(func_def_3451,type,
    sK2618: complex > complex > complex ).

thf(func_def_3452,type,
    sK2619: int > int > int ).

thf(func_def_3453,type,
    sK2620: int > int > int ).

thf(func_def_3454,type,
    sK2621: real > real > real ).

thf(func_def_3455,type,
    sK2622: real > real > real ).

thf(func_def_3456,type,
    sK2623: set_int > set_int > int ).

thf(func_def_3457,type,
    sK2624: set_int > set_int > int ).

thf(func_def_3458,type,
    sK2625: set_int > set_int > int ).

thf(func_def_3459,type,
    sK2626: nat > nat > code_integer ).

thf(func_def_3460,type,
    sK2627: nat > nat > code_integer ).

thf(func_def_3461,type,
    sK2628: nat > nat > int ).

thf(func_def_3462,type,
    sK2629: nat > nat > int ).

thf(func_def_3463,type,
    sK2630: nat > nat > nat ).

thf(func_def_3464,type,
    sK2631: nat > nat > nat ).

thf(func_def_3465,type,
    sK2632: nat > nat ).

thf(func_def_3466,type,
    sK2633: nat > nat > code_integer ).

thf(func_def_3467,type,
    sK2634: nat > nat > code_integer ).

thf(func_def_3468,type,
    sK2635: nat > nat > int ).

thf(func_def_3469,type,
    sK2636: nat > nat > int ).

thf(func_def_3470,type,
    sK2637: nat > nat > nat ).

thf(func_def_3471,type,
    sK2638: nat > nat > nat ).

thf(func_def_3472,type,
    sK2639: int > nat > int ).

thf(func_def_3473,type,
    sK2640: int > int ).

thf(func_def_3474,type,
    sK2641: code_integer > nat > code_integer ).

thf(func_def_3475,type,
    sK2642: code_integer > code_integer ).

thf(func_def_3476,type,
    sK2643: int > int > int ).

thf(func_def_3477,type,
    sK2644: int > int > int ).

thf(func_def_3478,type,
    sK2645: nat > nat > nat > nat > nat ).

thf(func_def_3479,type,
    sK2646: nat > nat > nat > nat > nat ).

thf(func_def_3480,type,
    sK2647: nat > nat > nat > nat > nat ).

thf(func_def_3481,type,
    sK2648: nat > nat > nat > nat > nat ).

thf(func_def_3482,type,
    sK2649: nat > nat > nat > nat ).

thf(func_def_3483,type,
    sK2650: nat > nat > nat > nat ).

thf(func_def_3484,type,
    sK2651: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3485,type,
    sK2652: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3486,type,
    sK2653: int > int > int > int > int > int ).

thf(func_def_3487,type,
    sK2654: int > int > int > int ).

thf(func_def_3488,type,
    sK2655: real > real > real > real > real > real ).

thf(func_def_3489,type,
    sK2656: real > real > real > real ).

thf(func_def_3490,type,
    sK2657: complex > complex > complex > complex > complex > complex ).

thf(func_def_3491,type,
    sK2658: complex > complex > complex > complex ).

thf(func_def_3492,type,
    sK2659: code_integer > code_integer > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3493,type,
    sK2660: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3494,type,
    sK2661: int > int > int > int ).

thf(func_def_3495,type,
    sK2662: int > int > int > int > int > int ).

thf(func_def_3496,type,
    sK2663: real > real > real > real ).

thf(func_def_3497,type,
    sK2664: real > real > real > real > real > real ).

thf(func_def_3498,type,
    sK2665: complex > complex > complex > complex ).

thf(func_def_3499,type,
    sK2666: complex > complex > complex > complex > complex > complex ).

thf(func_def_3500,type,
    sK2667: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3501,type,
    sK2668: code_integer > code_integer > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3502,type,
    sK2669: nat > nat > nat ).

thf(func_def_3503,type,
    sK2670: nat > nat > nat ).

thf(func_def_3504,type,
    sK2671: nat > nat > nat ).

thf(func_def_3505,type,
    sK2672: nat > nat > nat ).

thf(func_def_3506,type,
    sK2673: nat > nat > nat ).

thf(func_def_3507,type,
    sK2674: nat > nat > nat ).

thf(func_def_3508,type,
    sK2675: nat > nat > nat ).

thf(func_def_3509,type,
    sK2676: nat > nat > nat ).

thf(func_def_3510,type,
    sK2677: code_integer > code_integer > code_integer ).

thf(func_def_3511,type,
    sK2678: int > int > int ).

thf(func_def_3512,type,
    sK2679: nat > nat > nat ).

thf(func_def_3513,type,
    sK2680: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3514,type,
    sK2681: int > int > int > int ).

thf(func_def_3515,type,
    sK2682: nat > nat > nat ).

thf(func_def_3516,type,
    sK2683: nat > nat > nat > nat ).

thf(func_def_3517,type,
    sK2684: int > int > int > int ).

thf(func_def_3518,type,
    sK2685: int > int > int > int ).

thf(func_def_3519,type,
    sK2686: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3520,type,
    sK2687: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3521,type,
    sK2688: int > int > int > int ).

thf(func_def_3522,type,
    sK2689: real > real > real > real ).

thf(func_def_3523,type,
    sK2690: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3524,type,
    sK2691: nat > nat ).

thf(func_def_3525,type,
    sK2692: nat > int ).

thf(func_def_3526,type,
    sK2693: nat > nat ).

thf(func_def_3527,type,
    sK2694: nat > code_integer ).

thf(func_def_3528,type,
    sK2695: nat > nat > nat ).

thf(func_def_3529,type,
    sK2696: nat > nat > nat ).

thf(func_def_3530,type,
    sK2697: nat > nat > nat ).

thf(func_def_3531,type,
    sK2698: nat > nat ).

thf(func_def_3532,type,
    sK2699: int > int > int ).

thf(func_def_3533,type,
    sK2700: int > int > int ).

thf(func_def_3534,type,
    sK2701: code_integer > code_integer > code_integer ).

thf(func_def_3535,type,
    sK2702: code_integer > code_integer > code_integer ).

thf(func_def_3536,type,
    sK2703: nat > nat > code_integer > code_integer ).

thf(func_def_3537,type,
    sK2704: nat > code_integer > nat > code_integer ).

thf(func_def_3538,type,
    sK2705: nat > code_integer > nat > code_integer ).

thf(func_def_3539,type,
    sK2706: nat > code_integer > nat > code_integer ).

thf(func_def_3540,type,
    sK2707: nat > nat > int > int ).

thf(func_def_3541,type,
    sK2708: nat > int > nat > int ).

thf(func_def_3542,type,
    sK2709: nat > int > nat > int ).

thf(func_def_3543,type,
    sK2710: nat > int > nat > int ).

thf(func_def_3544,type,
    sK2711: nat > nat > nat > nat ).

thf(func_def_3545,type,
    sK2712: nat > nat > nat > nat ).

thf(func_def_3546,type,
    sK2713: nat > nat > nat > nat ).

thf(func_def_3547,type,
    sK2714: nat > nat > nat > nat ).

thf(func_def_3548,type,
    sK2715: nat > nat ).

thf(func_def_3549,type,
    sK2716: int > int > int > int > int ).

thf(func_def_3550,type,
    sK2717: int > int > int > int > int ).

thf(func_def_3551,type,
    sK2718: int > int > int > int > int ).

thf(func_def_3552,type,
    sK2719: int > int > int > int > int ).

thf(func_def_3553,type,
    sK2720: int > int > int > int > int ).

thf(func_def_3554,type,
    sK2721: int > int > int > int > int ).

thf(func_def_3555,type,
    sK2722: int > int > int > int > int ).

thf(func_def_3556,type,
    sK2723: int > int > int > int > int ).

thf(func_def_3557,type,
    sK2724: int > int > int > int > int ).

thf(func_def_3558,type,
    sK2725: int > int > int > int > int ).

thf(func_def_3559,type,
    sK2726: int > int > int > int > int ).

thf(func_def_3560,type,
    sK2727: int > int > int > int > int ).

thf(func_def_3561,type,
    sK2728: int > int > int > int > int ).

thf(func_def_3562,type,
    sK2729: int > int > int > int > int ).

thf(func_def_3563,type,
    sK2730: int > int > int > int > int ).

thf(func_def_3564,type,
    sK2731: int > int > int > int > int ).

thf(func_def_3565,type,
    sK2732: int > int > int > int > int ).

thf(func_def_3566,type,
    sK2733: int > int > int > int > int ).

thf(func_def_3567,type,
    sK2734: int > int > int > int > int ).

thf(func_def_3568,type,
    sK2735: int > int > int > int > int ).

thf(func_def_3569,type,
    sK2736: int > int > int > int > int ).

thf(func_def_3570,type,
    sK2737: int > int > int > int > int ).

thf(func_def_3571,type,
    sK2738: int > int > int > int > int ).

thf(func_def_3572,type,
    sK2739: int > int > int > int > int ).

thf(func_def_3573,type,
    sK2740: int > int > int > int > int ).

thf(func_def_3574,type,
    sK2741: int > int > int > int > int ).

thf(func_def_3575,type,
    sK2742: int > int > int > int > int ).

thf(func_def_3576,type,
    sK2743: int > int > int > int > int ).

thf(func_def_3577,type,
    sK2744: int > int > int > int > int ).

thf(func_def_3578,type,
    sK2745: int > int > int > int > int ).

thf(func_def_3579,type,
    sK2746: int > int > int > int > int ).

thf(func_def_3580,type,
    sK2747: int > int > int > int > int ).

thf(func_def_3581,type,
    sK2748: int > int > int > int > int ).

thf(func_def_3582,type,
    sK2749: int > int > int > int > int ).

thf(func_def_3583,type,
    sK2750: int > int > int > int > int ).

thf(func_def_3584,type,
    sK2751: int > int > int > int > int ).

thf(func_def_3585,type,
    sK2752: int > int > int > int > int ).

thf(func_def_3586,type,
    sK2753: int > int > int > int > int ).

thf(func_def_3587,type,
    sK2754: int > int > int > int > int ).

thf(func_def_3588,type,
    sK2755: int > int > int > int > int ).

thf(func_def_3589,type,
    sK2756: int > int > int > int > int ).

thf(func_def_3590,type,
    sK2757: int > int > int > int > int ).

thf(func_def_3591,type,
    sK2758: int > int > int > int > int ).

thf(func_def_3592,type,
    sK2759: int > int > int > int > int ).

thf(func_def_3593,type,
    sK2760: int > int > int > int > int ).

thf(func_def_3594,type,
    sK2761: int > int > int > int > int ).

thf(func_def_3595,type,
    sK2762: int > int > int > int > int ).

thf(func_def_3596,type,
    sK2763: int > int > int > int > int ).

thf(func_def_3597,type,
    sK2764: int > int > int > int > int ).

thf(func_def_3598,type,
    sK2765: int > int > int > int > int ).

thf(func_def_3599,type,
    sK2766: int > int > int > int > int ).

thf(func_def_3600,type,
    sK2767: int > int > int > int > int ).

thf(func_def_3601,type,
    sK2768: int > int > int > int > int ).

thf(func_def_3602,type,
    sK2769: int > int > int > int > int ).

thf(func_def_3603,type,
    sK2770: int > int > int > int > int ).

thf(func_def_3604,type,
    sK2771: int > int > int > int > int ).

thf(func_def_3605,type,
    sK2772: int > int > int > int > int ).

thf(func_def_3606,type,
    sK2773: int > int > int > int > int ).

thf(func_def_3607,type,
    sK2774: int > int > int > int > int ).

thf(func_def_3608,type,
    sK2775: int > int > int > int > int ).

thf(func_def_3609,type,
    sK2776: int > int > int > int > int ).

thf(func_def_3610,type,
    sK2777: int > int > int > int > int ).

thf(func_def_3611,type,
    sK2778: int > int > int > int > int ).

thf(func_def_3612,type,
    sK2779: int > int > int > int > int ).

thf(func_def_3613,type,
    sK2780: int > int > int > int > int ).

thf(func_def_3614,type,
    sK2781: int > int > int > int > int ).

thf(func_def_3615,type,
    sK2782: int > int > int > int > int ).

thf(func_def_3616,type,
    sK2783: int > int > int > int > int ).

thf(func_def_3617,type,
    sK2784: int > int > int > int > int ).

thf(func_def_3618,type,
    sK2785: int > int > int > int > int ).

thf(func_def_3619,type,
    sK2786: int > int > int > int > int ).

thf(func_def_3620,type,
    sK2787: int > int > int > int > int ).

thf(func_def_3621,type,
    sK2788: int > int > int > int > int ).

thf(func_def_3622,type,
    sK2789: int > int > int > int > int ).

thf(func_def_3623,type,
    sK2790: int > int > int > int > int ).

thf(func_def_3624,type,
    sK2791: int > int > int > int > int ).

thf(func_def_3625,type,
    sK2792: int > int > int > int > int ).

thf(func_def_3626,type,
    sK2793: int > int > int > int > int ).

thf(func_def_3627,type,
    sK2794: int > int > int > int > int ).

thf(func_def_3628,type,
    sK2795: int > int > int > int > int ).

thf(func_def_3629,type,
    sK2796: int > int > int > int > int ).

thf(func_def_3630,type,
    sK2797: int > int > int > int > int ).

thf(func_def_3631,type,
    sK2798: int > int > int > int > int ).

thf(func_def_3632,type,
    sK2799: int > int > int > int > int ).

thf(func_def_3633,type,
    sK2800: int > int > int > int > int ).

thf(func_def_3634,type,
    sK2801: int > int > int > int > int ).

thf(func_def_3635,type,
    sK2802: int > int > int > int > int ).

thf(func_def_3636,type,
    sK2803: int > int > int > int > int ).

thf(func_def_3637,type,
    sK2804: int > int > int > int > int ).

thf(func_def_3638,type,
    sK2805: int > int > int > int > int ).

thf(func_def_3639,type,
    sK2806: int > int > int > int > int ).

thf(func_def_3640,type,
    sK2807: int > int > int > int > int ).

thf(func_def_3641,type,
    sK2808: int > int > int > int > int ).

thf(func_def_3642,type,
    sK2809: int > int > int > int > int ).

thf(func_def_3643,type,
    sK2810: int > int > int > int > int ).

thf(func_def_3644,type,
    sK2811: int > int > int > int > int ).

thf(func_def_3645,type,
    sK2812: int > int > int > int > int ).

thf(func_def_3646,type,
    sK2813: int > int > int > int > int ).

thf(func_def_3647,type,
    sK2814: int > int > int > int > int ).

thf(func_def_3648,type,
    sK2815: int > int > int > int > int ).

thf(func_def_3649,type,
    sK2816: int > int > int > int > int ).

thf(func_def_3650,type,
    sK2817: int > int > int > int > int ).

thf(func_def_3651,type,
    sK2818: int > int > int > int > int ).

thf(func_def_3652,type,
    sK2819: int > int > int > int > int ).

thf(func_def_3653,type,
    sK2820: int > int > int > int > int ).

thf(func_def_3654,type,
    sK2821: int > int > int > int > int ).

thf(func_def_3655,type,
    sK2822: int > int > int > int > int ).

thf(func_def_3656,type,
    sK2823: int > int > int > int > int ).

thf(func_def_3657,type,
    sK2824: int > int > int > int > int ).

thf(func_def_3658,type,
    sK2825: int > int > int > int > int ).

thf(func_def_3659,type,
    sK2826: int > int > int > int > int ).

thf(func_def_3660,type,
    sK2827: int > int > int > int > int ).

thf(func_def_3661,type,
    sK2828: int > int > int > int > int ).

thf(func_def_3662,type,
    sK2829: int > int > int > int > int ).

thf(func_def_3663,type,
    sK2830: int > int > int > int > int ).

thf(func_def_3664,type,
    sK2831: int > int > int > int > int ).

thf(func_def_3665,type,
    sK2832: int > int > int > int > int ).

thf(func_def_3666,type,
    sK2833: int > int > int > int > int ).

thf(func_def_3667,type,
    sK2834: int > int > int > int > int ).

thf(func_def_3668,type,
    sK2835: int > int > int > int > int ).

thf(func_def_3669,type,
    sK2836: int > int > int > int > int ).

thf(func_def_3670,type,
    sK2837: int > int > int > int > int ).

thf(func_def_3671,type,
    sK2838: int > int > int > int > int ).

thf(func_def_3672,type,
    sK2839: int > int > int > int > int ).

thf(func_def_3673,type,
    sK2840: int > int > int > int > int ).

thf(func_def_3674,type,
    sK2841: int > int > int > int > int ).

thf(func_def_3675,type,
    sK2842: int > int > int > int > int ).

thf(func_def_3676,type,
    sK2843: int > int > int > int > int ).

thf(func_def_3677,type,
    sK2844: int > int > int > int > int ).

thf(func_def_3678,type,
    sK2845: int > int > int > int > int ).

thf(func_def_3679,type,
    sK2846: int > int > int > int > int ).

thf(func_def_3680,type,
    sK2847: int > int > int > int > int ).

thf(func_def_3681,type,
    sK2848: int > int > int > int > int ).

thf(func_def_3682,type,
    sK2849: int > int > int > int > int ).

thf(func_def_3683,type,
    sK2850: int > int > int > int > int ).

thf(func_def_3684,type,
    sK2851: int > int > int > int > int ).

thf(func_def_3685,type,
    sK2852: int > int > int > int > int ).

thf(func_def_3686,type,
    sK2853: int > int > int > int > int ).

thf(func_def_3687,type,
    sK2854: int > int > int > int > int ).

thf(func_def_3688,type,
    sK2855: int > int > int > int > int ).

thf(func_def_3689,type,
    sK2856: int > int > int > int > int ).

thf(func_def_3690,type,
    sK2857: int > int > int > int > int ).

thf(func_def_3691,type,
    sK2858: int > int > int > int > int ).

thf(func_def_3692,type,
    sK2859: int > int > int > int > int ).

thf(func_def_3693,type,
    sK2860: int > int > int > int > int ).

thf(func_def_3694,type,
    sK2861: int > int > int > int > int ).

thf(func_def_3695,type,
    sK2862: int > int > int > int > int ).

thf(func_def_3696,type,
    sK2863: int > int > int > int > int ).

thf(func_def_3697,type,
    sK2864: int > int > int > int > int ).

thf(func_def_3698,type,
    sK2865: int > int > int > int > int ).

thf(func_def_3699,type,
    sK2866: int > int > int > int > int ).

thf(func_def_3700,type,
    sK2867: int > int > int > int > int ).

thf(func_def_3701,type,
    sK2868: int > int > int > int > int ).

thf(func_def_3702,type,
    sK2869: int > int > int > int > int ).

thf(func_def_3703,type,
    sK2870: int > int > int > int > int ).

thf(func_def_3704,type,
    sK2871: int > int > int > int > int ).

thf(func_def_3705,type,
    sK2872: int > int > int > int > int ).

thf(func_def_3706,type,
    sK2873: int > int > int > int > int ).

thf(func_def_3707,type,
    sK2874: int > int > int > int > int ).

thf(func_def_3708,type,
    sK2875: int > int > int > int > int ).

thf(func_def_3709,type,
    sK2876: int > int > int > int > int ).

thf(func_def_3710,type,
    sK2877: int > int > int > int > int ).

thf(func_def_3711,type,
    sK2878: int > int > int > int > int ).

thf(func_def_3712,type,
    sK2879: int > int > int > int > int ).

thf(func_def_3713,type,
    sK2880: int > int > int > int > int ).

thf(func_def_3714,type,
    sK2881: int > int > int > int > int ).

thf(func_def_3715,type,
    sK2882: int > int > int > int > int ).

thf(func_def_3716,type,
    sK2883: int > int > int > int > int ).

thf(func_def_3717,type,
    sK2884: int > int > int > int > int ).

thf(func_def_3718,type,
    sK2885: int > int > int > int > int ).

thf(func_def_3719,type,
    sK2886: int > int > int > int > int ).

thf(func_def_3720,type,
    sK2887: int > int > int > int > int ).

thf(func_def_3721,type,
    sK2888: int > int > int > int > int ).

thf(func_def_3722,type,
    sK2889: int > int > int > int > int ).

thf(func_def_3723,type,
    sK2890: int > int > int > int > int ).

thf(func_def_3724,type,
    sK2891: int > int > int > int > int ).

thf(func_def_3725,type,
    sK2892: int > int > int > int > int ).

thf(func_def_3726,type,
    sK2893: int > int > int > int > int ).

thf(func_def_3727,type,
    sK2894: int > int > int > int > int ).

thf(func_def_3728,type,
    sK2895: int > int > int > int > int ).

thf(func_def_3729,type,
    sK2896: int > int > int ).

thf(func_def_3730,type,
    sK2897: int > int > int ).

thf(func_def_3731,type,
    sK2898: int > int > int ).

thf(func_def_3732,type,
    sK2899: int > int > int ).

thf(func_def_3733,type,
    sK2900: int > int > int ).

thf(func_def_3734,type,
    sK2901: int > int > int ).

thf(func_def_3735,type,
    sK2902: int > int > int ).

thf(func_def_3736,type,
    sK2903: int > int > int ).

thf(func_def_3737,type,
    sK2904: int > int > int ).

thf(func_def_3738,type,
    sK2905: int > int > int ).

thf(func_def_3739,type,
    sK2906: int > int > int ).

thf(func_def_3740,type,
    sK2907: int > int > int ).

thf(func_def_3741,type,
    sK2908: int > int > int ).

thf(func_def_3742,type,
    sK2909: int > int > int ).

thf(func_def_3743,type,
    sK2910: int > int > int ).

thf(func_def_3744,type,
    sK2911: int > int > int ).

thf(func_def_3745,type,
    sK2912: int > int > int ).

thf(func_def_3746,type,
    sK2913: int > int > int ).

thf(func_def_3747,type,
    sK2914: int > int > int ).

thf(func_def_3748,type,
    sK2915: int > int > int ).

thf(func_def_3749,type,
    sK2916: int > int > int ).

thf(func_def_3750,type,
    sK2917: int > int > int ).

thf(func_def_3751,type,
    sK2918: int > int > int ).

thf(func_def_3752,type,
    sK2919: int > int > int ).

thf(func_def_3753,type,
    sK2920: int > int > int ).

thf(func_def_3754,type,
    sK2921: int > int > int ).

thf(func_def_3755,type,
    sK2922: int > int > int ).

thf(func_def_3756,type,
    sK2923: int > int > int ).

thf(func_def_3757,type,
    sK2924: int > int ).

thf(func_def_3758,type,
    sK2925: int > int ).

thf(func_def_3759,type,
    sK2926: int > int ).

thf(func_def_3760,type,
    sK2927: int > int ).

thf(func_def_3761,type,
    sK2928: int > int ).

thf(func_def_3762,type,
    sK2929: int > int ).

thf(func_def_3763,type,
    sK2930: int > int ).

thf(func_def_3764,type,
    sK2931: int > int ).

thf(func_def_3765,type,
    sK2932: int > int ).

thf(func_def_3766,type,
    sK2933: int > int ).

thf(func_def_3767,type,
    sK2934: int > int ).

thf(func_def_3768,type,
    sK2935: int > int > int > int > int ).

thf(func_def_3769,type,
    sK2936: int > int > int > int > int ).

thf(func_def_3770,type,
    sK2937: int > int > int > int > int ).

thf(func_def_3771,type,
    sK2938: int > int > int > int > int ).

thf(func_def_3772,type,
    sK2939: int > int > int > int > int ).

thf(func_def_3773,type,
    sK2940: int > int > int > int > int ).

thf(func_def_3774,type,
    sK2941: int > int > int > int > int ).

thf(func_def_3775,type,
    sK2942: int > int > int > int > int ).

thf(func_def_3776,type,
    sK2943: int > int > int > int > int ).

thf(func_def_3777,type,
    sK2944: int > int > int > int > int ).

thf(func_def_3778,type,
    sK2945: int > int > int > int > int ).

thf(func_def_3779,type,
    sK2946: int > int > int > int > int ).

thf(func_def_3780,type,
    sK2947: int > int > int > int > int ).

thf(func_def_3781,type,
    sK2948: int > int > int > int > int ).

thf(func_def_3782,type,
    sK2949: int > int > int > int > int ).

thf(func_def_3783,type,
    sK2950: int > int > int > int > int ).

thf(func_def_3784,type,
    sK2951: int > int > int > int > int ).

thf(func_def_3785,type,
    sK2952: int > int > int > int > int ).

thf(func_def_3786,type,
    sK2953: int > int > int > int > int ).

thf(func_def_3787,type,
    sK2954: int > int > int > int > int ).

thf(func_def_3788,type,
    sK2955: int > int > int > int > int ).

thf(func_def_3789,type,
    sK2956: int > int > int > int > int ).

thf(func_def_3790,type,
    sK2957: int > int > int > int > int ).

thf(func_def_3791,type,
    sK2958: int > int > int > int > int ).

thf(func_def_3792,type,
    sK2959: int > int > int > int > int ).

thf(func_def_3793,type,
    sK2960: int > int > int > int > int ).

thf(func_def_3794,type,
    sK2961: int > int > int > int > int ).

thf(func_def_3795,type,
    sK2962: int > int > int > int > int ).

thf(func_def_3796,type,
    sK2963: int > int > int > int > int ).

thf(func_def_3797,type,
    sK2964: int > int > int > int > int ).

thf(func_def_3798,type,
    sK2965: int > int > int > int > int ).

thf(func_def_3799,type,
    sK2966: int > int > int > int > int ).

thf(func_def_3800,type,
    sK2967: int > int > int > int > int ).

thf(func_def_3801,type,
    sK2968: int > int > int > int > int ).

thf(func_def_3802,type,
    sK2969: int > int > int > int > int ).

thf(func_def_3803,type,
    sK2970: int > int > int > int > int ).

thf(func_def_3804,type,
    sK2971: int > int > int > int > int ).

thf(func_def_3805,type,
    sK2972: int > int > int > int > int ).

thf(func_def_3806,type,
    sK2973: int > int > int > int > int ).

thf(func_def_3807,type,
    sK2974: int > int > int > int > int ).

thf(func_def_3808,type,
    sK2975: int > int > int > int ).

thf(func_def_3809,type,
    sK2976: int > int > int > int ).

thf(func_def_3810,type,
    sK2977: nat > nat > nat > nat ).

thf(func_def_3811,type,
    sK2978: nat > nat > nat > nat ).

thf(func_def_3812,type,
    sK2979: real > real > real > real ).

thf(func_def_3813,type,
    sK2980: real > real > real > real ).

thf(func_def_3814,type,
    sK2981: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3815,type,
    sK2982: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3816,type,
    sK2983: int > int > int > int ).

thf(func_def_3817,type,
    sK2984: int > int > int > int ).

thf(func_def_3818,type,
    sK2985: nat > nat > nat > nat ).

thf(func_def_3819,type,
    sK2986: nat > nat > nat > nat ).

thf(func_def_3820,type,
    sK2987: real > real > real > real ).

thf(func_def_3821,type,
    sK2988: real > real > real > real ).

thf(func_def_3822,type,
    sK2989: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3823,type,
    sK2990: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3824,type,
    sK2991: int > int > int > int ).

thf(func_def_3825,type,
    sK2992: int > int > int > int ).

thf(func_def_3826,type,
    sK2993: nat > nat > nat > nat ).

thf(func_def_3827,type,
    sK2994: nat > nat > nat > nat ).

thf(func_def_3828,type,
    sK2995: real > real > real > real ).

thf(func_def_3829,type,
    sK2996: real > real > real > real ).

thf(func_def_3830,type,
    sK2997: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3831,type,
    sK2998: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3832,type,
    sK2999: int > int > int > int ).

thf(func_def_3833,type,
    sK3000: int > int > int > int ).

thf(func_def_3834,type,
    sK3001: nat > nat > nat > nat ).

thf(func_def_3835,type,
    sK3002: nat > nat > nat > nat ).

thf(func_def_3836,type,
    sK3003: real > real > real > real ).

thf(func_def_3837,type,
    sK3004: real > real > real > real ).

thf(func_def_3838,type,
    sK3005: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3839,type,
    sK3006: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_3840,type,
    sK3007: nat > nat ).

thf(func_def_3841,type,
    sK3008: nat > nat > nat ).

thf(func_def_3842,type,
    sK3009: nat > nat > nat ).

thf(func_def_3843,type,
    sK3010: int > int ).

thf(func_def_3844,type,
    sK3011: int > nat > int ).

thf(func_def_3845,type,
    sK3012: int > nat > int ).

thf(func_def_3846,type,
    sK3013: code_integer > code_integer ).

thf(func_def_3847,type,
    sK3014: code_integer > nat > code_integer ).

thf(func_def_3848,type,
    sK3015: code_integer > nat > code_integer ).

thf(func_def_3849,type,
    sK3016: nat > nat ).

thf(func_def_3850,type,
    sK3017: nat > nat > nat ).

thf(func_def_3851,type,
    sK3018: nat > nat ).

thf(func_def_3852,type,
    sK3019: nat > nat > nat ).

thf(func_def_3853,type,
    sK3020: int > int ).

thf(func_def_3854,type,
    sK3021: int > nat > int ).

thf(func_def_3855,type,
    sK3022: int > int ).

thf(func_def_3856,type,
    sK3023: int > nat > int ).

thf(func_def_3857,type,
    sK3024: code_integer > code_integer ).

thf(func_def_3858,type,
    sK3025: code_integer > nat > code_integer ).

thf(func_def_3859,type,
    sK3026: code_integer > code_integer ).

thf(func_def_3860,type,
    sK3027: code_integer > nat > code_integer ).

thf(func_def_3861,type,
    sK3028: nat > nat ).

thf(func_def_3862,type,
    sK3029: nat > nat > nat ).

thf(func_def_3863,type,
    sK3030: int > int ).

thf(func_def_3864,type,
    sK3031: int > nat > int ).

thf(func_def_3865,type,
    sK3032: code_integer > code_integer ).

thf(func_def_3866,type,
    sK3033: code_integer > nat > code_integer ).

thf(func_def_3867,type,
    sK3034: int > ( int > $o ) > int ).

thf(func_def_3868,type,
    sK3035: int > ( int > $o ) > int ).

thf(func_def_3869,type,
    sK3036: int > ( int > $o ) > int ).

thf(func_def_3870,type,
    sK3037: nat > ( nat > $o ) > nat ).

thf(func_def_3871,type,
    sK3038: nat > ( nat > $o ) > nat ).

thf(func_def_3872,type,
    sK3039: nat > ( nat > $o ) > nat ).

thf(func_def_3873,type,
    sK3040: real > ( real > $o ) > real ).

thf(func_def_3874,type,
    sK3041: real > ( real > $o ) > real ).

thf(func_def_3875,type,
    sK3042: real > ( real > $o ) > real ).

thf(func_def_3876,type,
    sK3043: complex > ( complex > $o ) > complex ).

thf(func_def_3877,type,
    sK3044: complex > ( complex > $o ) > complex ).

thf(func_def_3878,type,
    sK3045: complex > ( complex > $o ) > complex ).

thf(func_def_3879,type,
    sK3046: rat > ( rat > $o ) > rat ).

thf(func_def_3880,type,
    sK3047: rat > ( rat > $o ) > rat ).

thf(func_def_3881,type,
    sK3048: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3882,type,
    sK3049: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3883,type,
    sK3050: code_integer > ( code_integer > $o ) > code_integer ).

thf(func_def_3884,type,
    sK3051: nat > nat ).

thf(func_def_3885,type,
    sK3052: nat > nat ).

thf(func_def_3886,type,
    sK3053: nat > nat ).

thf(func_def_3887,type,
    sK3054: nat > nat ).

thf(func_def_3888,type,
    sK3055: nat > nat ).

thf(func_def_3889,type,
    sK3056: nat > nat ).

thf(func_def_3890,type,
    sK3057: nat > nat ).

thf(func_def_3891,type,
    sK3058: nat > nat ).

thf(func_def_3892,type,
    sK3059: nat > nat ).

thf(func_def_3893,type,
    sK3060: nat > nat ).

thf(func_def_3894,type,
    sK3061: nat > nat ).

thf(func_def_3895,type,
    sK3062: nat > nat ).

thf(func_def_3896,type,
    sK3063: nat > nat ).

thf(func_def_3897,type,
    sK3064: nat > nat ).

thf(func_def_3898,type,
    sK3065: nat > nat ).

thf(func_def_3899,type,
    sK3066: nat > nat ).

thf(func_def_3900,type,
    sK3067: nat > nat ).

thf(func_def_3901,type,
    sK3068: nat > nat ).

thf(func_def_3902,type,
    sK3069: nat > nat ).

thf(func_def_3903,type,
    sK3070: nat > nat ).

thf(func_def_3904,type,
    sK3071: nat > nat ).

thf(func_def_3905,type,
    sK3072: nat > nat ).

thf(func_def_3906,type,
    sK3073: nat > nat ).

thf(func_def_3907,type,
    sK3074: nat > nat ).

thf(func_def_3908,type,
    sK3075: nat > nat ).

thf(func_def_3909,type,
    sK3076: nat > nat ).

thf(func_def_3910,type,
    sK3077: nat > nat ).

thf(func_def_3911,type,
    sK3078: nat > nat ).

thf(func_def_3912,type,
    sK3079: nat > nat ).

thf(func_def_3913,type,
    sK3080: nat > nat ).

thf(func_def_3914,type,
    sK3081: nat > nat ).

thf(func_def_3915,type,
    sK3082: nat > nat ).

thf(func_def_3916,type,
    sK3083: nat > nat ).

thf(func_def_3917,type,
    sK3084: nat > nat ).

thf(func_def_3918,type,
    sK3085: nat > nat ).

thf(func_def_3919,type,
    sK3086: nat > nat ).

thf(func_def_3920,type,
    sK3087: nat > nat ).

thf(func_def_3921,type,
    sK3088: nat > nat ).

thf(func_def_3922,type,
    sK3089: nat > nat ).

thf(func_def_3923,type,
    sK3090: nat > nat ).

thf(func_def_3924,type,
    sK3091: nat > nat ).

thf(func_def_3925,type,
    sK3092: nat > nat ).

thf(func_def_3926,type,
    sK3093: nat > nat ).

thf(func_def_3927,type,
    sK3094: nat > nat ).

thf(func_def_3928,type,
    sK3095: nat > nat ).

thf(func_def_3929,type,
    sK3096: nat > nat ).

thf(func_def_3930,type,
    sK3097: nat > nat ).

thf(func_def_3931,type,
    sK3098: nat > nat ).

thf(func_def_3932,type,
    sK3099: nat > nat ).

thf(func_def_3933,type,
    sK3100: nat > nat ).

thf(func_def_3934,type,
    sK3101: nat > nat ).

thf(func_def_3935,type,
    sK3102: code_integer > code_integer ).

thf(func_def_3936,type,
    sK3103: int > int ).

thf(func_def_3937,type,
    sK3104: nat > nat ).

thf(func_def_3938,type,
    sK3105: code_integer > code_integer ).

thf(func_def_3939,type,
    sK3106: int > int ).

thf(func_def_3940,type,
    sK3107: nat > nat ).

thf(func_def_3941,type,
    sK3108: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3942,type,
    sK3109: nat > nat > nat > nat ).

thf(func_def_3943,type,
    sK3110: nat > nat > nat > nat ).

thf(func_def_3944,type,
    sK3111: nat > nat > nat > nat ).

thf(func_def_3945,type,
    sK3112: nat > nat > nat > nat ).

thf(func_def_3946,type,
    sK3113: nat > nat ).

thf(func_def_3947,type,
    sK3114: nat > nat ).

thf(func_def_3948,type,
    sK3115: nat > nat ).

thf(func_def_3949,type,
    sK3116: nat > nat ).

thf(func_def_3950,type,
    sK3117: nat > nat ).

thf(func_def_3951,type,
    sK3118: nat > nat ).

thf(func_def_3952,type,
    sK3119: code_integer > code_integer ).

thf(func_def_3953,type,
    sK3120: int > int ).

thf(func_def_3954,type,
    sK3121: nat > nat ).

thf(func_def_3955,type,
    sK3122: code_integer > code_integer ).

thf(func_def_3956,type,
    sK3123: int > int ).

thf(func_def_3957,type,
    sK3124: nat > nat ).

thf(func_def_3958,type,
    sK3125: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3959,type,
    sK3126: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3960,type,
    sK3127: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3961,type,
    sK3128: nat > nat > ( nat > $o ) > nat ).

thf(func_def_3962,type,
    sK3129: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3963,type,
    sK3130: nat > ( nat > $o ) > nat > nat ).

thf(func_def_3964,type,
    sK3131: complex > nat > complex ).

thf(func_def_3965,type,
    sK3132: nat > complex ).

thf(func_def_3966,type,
    sK3133: int > nat > int ).

thf(func_def_3967,type,
    sK3134: nat > int ).

thf(func_def_3968,type,
    sK3135: real > nat > real ).

thf(func_def_3969,type,
    sK3136: nat > real ).

thf(func_def_3970,type,
    sK3137: nat > nat > nat ).

thf(func_def_3971,type,
    sK3138: nat > nat ).

thf(func_def_3972,type,
    sK3139: code_integer > nat > code_integer ).

thf(func_def_3973,type,
    sK3140: nat > code_integer ).

thf(func_def_3974,type,
    sK3141: int > int ).

thf(func_def_3975,type,
    sK3142: nat > int > nat > int ).

thf(func_def_3976,type,
    sK3143: nat > int > nat > int ).

thf(func_def_3977,type,
    sK3144: nat > nat ).

thf(func_def_3978,type,
    sK3145: nat > nat > nat > nat ).

thf(func_def_3979,type,
    sK3146: nat > nat > nat > nat ).

thf(func_def_3980,type,
    sK3147: code_integer > code_integer ).

thf(func_def_3981,type,
    sK3148: nat > code_integer > nat > code_integer ).

thf(func_def_3982,type,
    sK3149: nat > code_integer > nat > code_integer ).

thf(func_def_3983,type,
    sK3150: int > int > int ).

thf(func_def_3984,type,
    sK3151: int > int ).

thf(func_def_3985,type,
    sK3152: int > int ).

thf(func_def_3986,type,
    sK3153: nat > nat > nat ).

thf(func_def_3987,type,
    sK3154: nat > nat ).

thf(func_def_3988,type,
    sK3155: nat > nat ).

thf(func_def_3989,type,
    sK3156: code_integer > code_integer > code_integer ).

thf(func_def_3990,type,
    sK3157: code_integer > code_integer ).

thf(func_def_3991,type,
    sK3158: code_integer > code_integer ).

thf(func_def_3992,type,
    sK3159: int ).

thf(func_def_3993,type,
    sK3160: nat ).

thf(func_def_3994,type,
    sK3161: code_integer ).

thf(func_def_3995,type,
    sK3162: nat > nat > nat ).

thf(func_def_3996,type,
    sK3163: int > int ).

thf(func_def_3997,type,
    sK3164: nat > int > int ).

thf(func_def_3998,type,
    sK3165: nat > int > int ).

thf(func_def_3999,type,
    sK3166: nat > nat ).

thf(func_def_4000,type,
    sK3167: nat > nat > nat ).

thf(func_def_4001,type,
    sK3168: nat > nat > nat ).

thf(func_def_4002,type,
    sK3169: code_integer > code_integer ).

thf(func_def_4003,type,
    sK3170: nat > code_integer > code_integer ).

thf(func_def_4004,type,
    sK3171: nat > code_integer > code_integer ).

thf(func_def_4005,type,
    sK3172: num > int ).

thf(func_def_4006,type,
    sK3173: num > nat ).

thf(func_def_4007,type,
    sK3174: num > code_integer ).

thf(func_def_4008,type,
    sK3175: int > int ).

thf(func_def_4009,type,
    sK3176: nat > nat ).

thf(func_def_4010,type,
    sK3177: code_integer > code_integer ).

thf(func_def_4011,type,
    sK3178: nat > nat > nat > nat ).

thf(func_def_4012,type,
    sK3179: nat > nat > nat > nat ).

thf(func_def_4013,type,
    sK3180: nat > complex > nat > complex ).

thf(func_def_4014,type,
    sK3181: nat > int > nat > int ).

thf(func_def_4015,type,
    sK3182: nat > real > nat > real ).

thf(func_def_4016,type,
    sK3183: nat > nat > nat > nat ).

thf(func_def_4017,type,
    sK3184: nat > code_integer > nat > code_integer ).

thf(func_def_4018,type,
    sK3185: complex > nat > complex > complex ).

thf(func_def_4019,type,
    sK3186: int > nat > int > int ).

thf(func_def_4020,type,
    sK3187: real > nat > real > real ).

thf(func_def_4021,type,
    sK3188: nat > nat > nat > nat ).

thf(func_def_4022,type,
    sK3189: code_integer > nat > code_integer > code_integer ).

thf(func_def_4023,type,
    sK3190: complex > nat > nat > complex > complex ).

thf(func_def_4024,type,
    sK3191: int > nat > nat > int > int ).

thf(func_def_4025,type,
    sK3192: real > nat > nat > real > real ).

thf(func_def_4026,type,
    sK3193: nat > nat > nat > nat > nat ).

thf(func_def_4027,type,
    sK3194: code_integer > nat > nat > code_integer > code_integer ).

thf(func_def_4028,type,
    sK3195: code_integer > code_integer > code_integer ).

thf(func_def_4029,type,
    sK3196: int > int > int ).

thf(func_def_4030,type,
    sK3197: nat > nat > nat ).

thf(func_def_4031,type,
    sK3198: code_integer > code_integer > code_integer ).

thf(func_def_4032,type,
    sK3199: int > int > int ).

thf(func_def_4033,type,
    sK3200: nat > nat > nat ).

thf(func_def_4034,type,
    sK3201: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4035,type,
    sK3202: code_integer > code_integer > code_integer ).

thf(func_def_4036,type,
    sK3203: int > int > int > int ).

thf(func_def_4037,type,
    sK3204: int > int > int ).

thf(func_def_4038,type,
    sK3205: nat > nat > nat > nat ).

thf(func_def_4039,type,
    sK3206: nat > nat > nat ).

thf(func_def_4040,type,
    sK3207: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4041,type,
    sK3208: code_integer > code_integer > code_integer ).

thf(func_def_4042,type,
    sK3209: int > int > int > int ).

thf(func_def_4043,type,
    sK3210: int > int > int ).

thf(func_def_4044,type,
    sK3211: nat > nat > nat > nat ).

thf(func_def_4045,type,
    sK3212: nat > nat > nat ).

thf(func_def_4046,type,
    sK3213: nat > nat > nat ).

thf(func_def_4047,type,
    sK3214: nat > nat > nat ).

thf(func_def_4048,type,
    sK3215: code_integer > code_integer > code_integer ).

thf(func_def_4049,type,
    sK3216: int > int > int ).

thf(func_def_4050,type,
    sK3217: nat > nat > nat ).

thf(func_def_4051,type,
    sK3218: ( int > int > $o ) > int > int > int ).

thf(func_def_4052,type,
    sK3219: ( int > int > $o ) > int > int > int ).

thf(func_def_4053,type,
    sK3220: ( int > int > $o ) > int > int > int ).

thf(func_def_4054,type,
    sK3221: ( int > int > $o ) > int > int > int ).

thf(func_def_4055,type,
    sK3222: int > int > ( int > $o ) > int ).

thf(func_def_4056,type,
    sK3223: int > ( int > $o ) > int > int ).

thf(func_def_4057,type,
    sK3224: int > ( int > $o ) > int > int ).

thf(func_def_4058,type,
    sK3225: int > int > ( int > $o ) > int ).

thf(func_def_4059,type,
    sK3226: int > int > ( int > $o ) > int ).

thf(func_def_4060,type,
    sK3227: int > int > ( int > $o ) > int ).

thf(func_def_4061,type,
    sK3228: int > int > ( int > $o ) > int ).

thf(func_def_4062,type,
    sK3229: int > int > ( int > $o ) > int ).

thf(func_def_4063,type,
    sK3230: int > ( int > $o ) > int > int ).

thf(func_def_4064,type,
    sK3231: int > int > ( int > $o ) > int ).

thf(func_def_4065,type,
    sK3232: int > ( int > $o ) > int > int ).

thf(func_def_4066,type,
    sK3233: code_integer > code_integer > code_integer ).

thf(func_def_4067,type,
    sK3234: int > int > int ).

thf(func_def_4068,type,
    sK3235: nat > nat > nat ).

thf(func_def_4069,type,
    sK3236: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4070,type,
    sK3237: code_integer > code_integer > code_integer ).

thf(func_def_4071,type,
    sK3238: int > int > int > int ).

thf(func_def_4072,type,
    sK3239: int > int > int ).

thf(func_def_4073,type,
    sK3240: nat > nat > nat > nat ).

thf(func_def_4074,type,
    sK3241: nat > nat > nat ).

thf(func_def_4075,type,
    sK3242: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4076,type,
    sK3243: int > int > int > int ).

thf(func_def_4077,type,
    sK3244: nat > nat > nat > nat ).

thf(func_def_4078,type,
    sK3245: complex > nat > complex > complex ).

thf(func_def_4079,type,
    sK3246: int > nat > int > int ).

thf(func_def_4080,type,
    sK3247: real > nat > real > real ).

thf(func_def_4081,type,
    sK3248: nat > nat > nat > nat ).

thf(func_def_4082,type,
    sK3249: code_integer > nat > code_integer > code_integer ).

thf(func_def_4083,type,
    sK3250: int > int > int > int ).

thf(func_def_4084,type,
    sK3251: nat > nat > nat > nat ).

thf(func_def_4085,type,
    sK3252: real > real > real > real ).

thf(func_def_4086,type,
    sK3253: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4087,type,
    sK3254: int > int > int > int ).

thf(func_def_4088,type,
    sK3255: int > int > int ).

thf(func_def_4089,type,
    sK3256: nat > nat > nat > nat ).

thf(func_def_4090,type,
    sK3257: nat > nat > nat ).

thf(func_def_4091,type,
    sK3258: real > real > real > real ).

thf(func_def_4092,type,
    sK3259: real > real > real ).

thf(func_def_4093,type,
    sK3260: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4094,type,
    sK3261: code_integer > code_integer > code_integer ).

thf(func_def_4095,type,
    sK3262: int > int > int > int ).

thf(func_def_4096,type,
    sK3263: int > int > int ).

thf(func_def_4097,type,
    sK3264: nat > nat > nat > nat ).

thf(func_def_4098,type,
    sK3265: nat > nat > nat ).

thf(func_def_4099,type,
    sK3266: real > real > real > real ).

thf(func_def_4100,type,
    sK3267: real > real > real ).

thf(func_def_4101,type,
    sK3268: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4102,type,
    sK3269: code_integer > code_integer > code_integer ).

thf(func_def_4103,type,
    sK3270: int > int ).

thf(func_def_4104,type,
    sK3271: nat > nat ).

thf(func_def_4105,type,
    sK3272: real > real ).

thf(func_def_4106,type,
    sK3273: complex > complex ).

thf(func_def_4107,type,
    sK3274: code_integer > code_integer ).

thf(func_def_4108,type,
    sK3275: int > int > int ).

thf(func_def_4109,type,
    sK3276: nat > nat > nat ).

thf(func_def_4110,type,
    sK3277: code_integer > code_integer > code_integer ).

thf(func_def_4111,type,
    sK3278: int > int ).

thf(func_def_4112,type,
    sK3279: nat > nat ).

thf(func_def_4113,type,
    sK3280: code_integer > code_integer ).

thf(func_def_4114,type,
    sK3281: nat > nat > nat ).

thf(func_def_4115,type,
    sK3282: nat > nat > nat > nat ).

thf(func_def_4116,type,
    sK3283: nat > nat > nat ).

thf(func_def_4117,type,
    sK3284: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4118,type,
    sK3285: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4119,type,
    sK3286: int > int > int > int ).

thf(func_def_4120,type,
    sK3287: int > int > int > int ).

thf(func_def_4121,type,
    sK3288: nat > nat > nat > nat ).

thf(func_def_4122,type,
    sK3289: nat > nat > nat > nat ).

thf(func_def_4123,type,
    sK3290: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4124,type,
    sK3291: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4125,type,
    sK3292: int > int > int > int ).

thf(func_def_4126,type,
    sK3293: int > int > int > int ).

thf(func_def_4127,type,
    sK3294: nat > nat > nat > nat ).

thf(func_def_4128,type,
    sK3295: nat > nat > nat > nat ).

thf(func_def_4129,type,
    sK3296: nat > nat > nat ).

thf(func_def_4130,type,
    sK3297: nat > nat > nat ).

thf(func_def_4131,type,
    sK3298: int > int > int ).

thf(func_def_4132,type,
    sK3299: nat > nat > nat ).

thf(func_def_4133,type,
    sK3300: real > real > real ).

thf(func_def_4134,type,
    sK3301: complex > complex > complex ).

thf(func_def_4135,type,
    sK3302: code_integer > code_integer > code_integer ).

thf(func_def_4136,type,
    sK3303: int > int > int ).

thf(func_def_4137,type,
    sK3304: nat > nat > nat ).

thf(func_def_4138,type,
    sK3305: real > real > real ).

thf(func_def_4139,type,
    sK3306: complex > complex > complex ).

thf(func_def_4140,type,
    sK3307: code_integer > code_integer > code_integer ).

thf(func_def_4141,type,
    sK3308: int > int > int > int > int ).

thf(func_def_4142,type,
    sK3309: nat > nat > nat > nat > nat ).

thf(func_def_4143,type,
    sK3310: real > real > real > real > real ).

thf(func_def_4144,type,
    sK3311: complex > complex > complex > complex > complex ).

thf(func_def_4145,type,
    sK3312: code_integer > code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4146,type,
    sK3313: int > int > int ).

thf(func_def_4147,type,
    sK3314: nat > nat > nat ).

thf(func_def_4148,type,
    sK3315: real > real > real ).

thf(func_def_4149,type,
    sK3316: complex > complex > complex ).

thf(func_def_4150,type,
    sK3317: code_integer > code_integer > code_integer ).

thf(func_def_4151,type,
    sK3318: int > int > int ).

thf(func_def_4152,type,
    sK3319: nat > nat > nat ).

thf(func_def_4153,type,
    sK3320: real > real > real ).

thf(func_def_4154,type,
    sK3321: complex > complex > complex ).

thf(func_def_4155,type,
    sK3322: code_integer > code_integer > code_integer ).

thf(func_def_4156,type,
    sK3323: code_integer > code_integer > code_integer ).

thf(func_def_4157,type,
    sK3324: int > int > int ).

thf(func_def_4158,type,
    sK3325: nat > nat > nat ).

thf(func_def_4159,type,
    sK3326: int > int > int > int ).

thf(func_def_4160,type,
    sK3327: nat > nat > nat > nat ).

thf(func_def_4161,type,
    sK3328: real > real > real > real ).

thf(func_def_4162,type,
    sK3329: complex > complex > complex > complex ).

thf(func_def_4163,type,
    sK3330: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4164,type,
    sK3331: code_integer > code_integer ).

thf(func_def_4165,type,
    sK3332: int > int ).

thf(func_def_4166,type,
    sK3333: nat > nat ).

thf(func_def_4167,type,
    sK3334: int > int > int > int ).

thf(func_def_4168,type,
    sK3335: nat > nat > nat > nat ).

thf(func_def_4169,type,
    sK3336: real > real > real > real ).

thf(func_def_4170,type,
    sK3337: complex > complex > complex > complex ).

thf(func_def_4171,type,
    sK3338: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4172,type,
    sK3339: int > int > int ).

thf(func_def_4173,type,
    sK3340: nat > nat > nat ).

thf(func_def_4174,type,
    sK3341: real > real > real ).

thf(func_def_4175,type,
    sK3342: complex > complex > complex ).

thf(func_def_4176,type,
    sK3343: code_integer > code_integer > code_integer ).

thf(func_def_4177,type,
    sK3344: nat > nat > nat ).

thf(func_def_4178,type,
    sK3345: nat > nat > nat ).

thf(func_def_4179,type,
    sK3346: nat > nat > nat > nat ).

thf(func_def_4180,type,
    sK3347: nat > nat > nat > nat ).

thf(func_def_4181,type,
    sK3348: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4182,type,
    sK3349: int > int > int > int ).

thf(func_def_4183,type,
    sK3350: nat > nat > nat > nat ).

thf(func_def_4184,type,
    sK3351: int > int > int > int ).

thf(func_def_4185,type,
    sK3352: int > int > int ).

thf(func_def_4186,type,
    sK3353: nat > nat > nat > nat ).

thf(func_def_4187,type,
    sK3354: nat > nat > nat ).

thf(func_def_4188,type,
    sK3355: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4189,type,
    sK3356: code_integer > code_integer > code_integer ).

thf(func_def_4190,type,
    sK3357: int > int > int > int ).

thf(func_def_4191,type,
    sK3358: int > int > int ).

thf(func_def_4192,type,
    sK3359: nat > nat > nat > nat ).

thf(func_def_4193,type,
    sK3360: nat > nat > nat ).

thf(func_def_4194,type,
    sK3361: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4195,type,
    sK3362: code_integer > code_integer > code_integer ).

thf(func_def_4196,type,
    sK3363: int > int > int > int ).

thf(func_def_4197,type,
    sK3364: int > int > int ).

thf(func_def_4198,type,
    sK3365: nat > nat > nat > nat ).

thf(func_def_4199,type,
    sK3366: nat > nat > nat ).

thf(func_def_4200,type,
    sK3367: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4201,type,
    sK3368: code_integer > code_integer > code_integer ).

thf(func_def_4202,type,
    sK3369: int > int > int > int ).

thf(func_def_4203,type,
    sK3370: int > int > int ).

thf(func_def_4204,type,
    sK3371: nat > nat > nat > nat ).

thf(func_def_4205,type,
    sK3372: nat > nat > nat ).

thf(func_def_4206,type,
    sK3373: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4207,type,
    sK3374: code_integer > code_integer > code_integer ).

thf(func_def_4208,type,
    sK3375: int > int ).

thf(func_def_4209,type,
    sK3376: int > int ).

thf(func_def_4210,type,
    sK3377: int > int > int ).

thf(func_def_4211,type,
    sK3378: nat > nat ).

thf(func_def_4212,type,
    sK3379: nat > nat ).

thf(func_def_4213,type,
    sK3380: nat > nat > nat ).

thf(func_def_4214,type,
    sK3381: code_integer > code_integer ).

thf(func_def_4215,type,
    sK3382: code_integer > code_integer ).

thf(func_def_4216,type,
    sK3383: code_integer > code_integer > code_integer ).

thf(func_def_4217,type,
    sK3384: int > int > int ).

thf(func_def_4218,type,
    sK3385: int > int > int ).

thf(func_def_4219,type,
    sK3386: int > int > int ).

thf(func_def_4220,type,
    sK3387: int > int > ( int > $o ) > int ).

thf(func_def_4221,type,
    sK3388: int > ( int > $o ) > int > int ).

thf(func_def_4222,type,
    sK3389: int > ( int > $o ) > int > int ).

thf(func_def_4223,type,
    sK3390: int > int > ( int > $o ) > int ).

thf(func_def_4224,type,
    sK3391: int > int > ( int > $o ) > int ).

thf(func_def_4225,type,
    sK3392: int > int > ( int > $o ) > int ).

thf(func_def_4226,type,
    sK3393: int > int > ( int > $o ) > int ).

thf(func_def_4227,type,
    sK3394: int > int > ( int > $o ) > int ).

thf(func_def_4228,type,
    sK3395: int > ( int > $o ) > int > int ).

thf(func_def_4229,type,
    sK3396: int > int > ( int > $o ) > int ).

thf(func_def_4230,type,
    sK3397: int > ( int > $o ) > int > int ).

thf(func_def_4231,type,
    sK3398: num > nat ).

thf(func_def_4232,type,
    sK3399: num > nat ).

thf(func_def_4233,type,
    sK3400: num > nat ).

thf(func_def_4234,type,
    sK3401: num > nat ).

thf(func_def_4235,type,
    sK3402: num > nat ).

thf(func_def_4236,type,
    sK3403: num > nat ).

thf(func_def_4237,type,
    sK3404: num > nat ).

thf(func_def_4238,type,
    sK3405: num > nat ).

thf(func_def_4239,type,
    sK3406: num > nat ).

thf(func_def_4240,type,
    sK3407: code_integer > code_integer ).

thf(func_def_4241,type,
    sK3408: int > int ).

thf(func_def_4242,type,
    sK3409: nat > nat ).

thf(func_def_4243,type,
    sK3410: nat > nat ).

thf(func_def_4244,type,
    sK3411: nat > nat ).

thf(func_def_4245,type,
    sK3412: nat > nat ).

thf(func_def_4246,type,
    sK3413: num > nat ).

thf(func_def_4247,type,
    sK3414: num > nat ).

thf(func_def_4248,type,
    sK3415: num > nat ).

thf(func_def_4249,type,
    sK3416: int > int ).

thf(func_def_4250,type,
    sK3417: nat > int > int ).

thf(func_def_4251,type,
    sK3418: nat > nat ).

thf(func_def_4252,type,
    sK3419: nat > nat > nat ).

thf(func_def_4253,type,
    sK3420: code_integer > code_integer ).

thf(func_def_4254,type,
    sK3421: nat > code_integer > code_integer ).

thf(func_def_4255,type,
    sK3422: num > nat ).

thf(func_def_4256,type,
    sK3423: num > nat ).

thf(func_def_4257,type,
    sK3424: num > nat ).

thf(func_def_4258,type,
    sK3425: num > nat ).

thf(func_def_4259,type,
    sK3426: num > nat ).

thf(func_def_4260,type,
    sK3427: num > nat ).

thf(func_def_4261,type,
    sK3428: num > nat ).

thf(func_def_4262,type,
    sK3429: num > nat ).

thf(func_def_4263,type,
    sK3430: num > nat ).

thf(func_def_4264,type,
    sK3431: num > nat ).

thf(func_def_4265,type,
    sK3432: num > nat ).

thf(func_def_4266,type,
    sK3433: num > nat ).

thf(func_def_4267,type,
    sK3434: num > nat ).

thf(func_def_4268,type,
    sK3435: num > nat ).

thf(func_def_4269,type,
    sK3436: num > nat ).

thf(func_def_4270,type,
    sK3437: code_integer > code_integer ).

thf(func_def_4271,type,
    sK3438: int > int ).

thf(func_def_4272,type,
    sK3439: nat > nat ).

thf(func_def_4273,type,
    sK3440: nat > nat ).

thf(func_def_4274,type,
    sK3441: int > int ).

thf(func_def_4275,type,
    sK3442: int > int ).

thf(func_def_4276,type,
    sK3443: nat > nat ).

thf(func_def_4277,type,
    sK3444: nat > nat ).

thf(func_def_4278,type,
    sK3445: code_integer > code_integer ).

thf(func_def_4279,type,
    sK3446: code_integer > code_integer ).

thf(func_def_4280,type,
    sK3447: $o > code_integer ).

thf(func_def_4281,type,
    sK3448: $o > int ).

thf(func_def_4282,type,
    sK3449: $o > nat ).

thf(func_def_4283,type,
    sK3450: nat > nat ).

thf(func_def_4284,type,
    sK3451: nat > nat ).

thf(func_def_4285,type,
    sK3452: nat > nat ).

thf(func_def_4286,type,
    sK3453: nat > nat ).

thf(func_def_4287,type,
    sK3454: code_integer > code_integer ).

thf(func_def_4288,type,
    sK3455: code_integer > code_integer ).

thf(func_def_4289,type,
    sK3456: int > int ).

thf(func_def_4290,type,
    sK3457: int > int ).

thf(func_def_4291,type,
    sK3458: nat > nat ).

thf(func_def_4292,type,
    sK3459: nat > nat ).

thf(func_def_4293,type,
    sK3460: int > int > int ).

thf(func_def_4294,type,
    sK3461: int > int ).

thf(func_def_4295,type,
    sK3462: int > int ).

thf(func_def_4296,type,
    sK3463: int > int > int ).

thf(func_def_4297,type,
    sK3464: int > int ).

thf(func_def_4298,type,
    sK3465: int > int ).

thf(func_def_4299,type,
    sK3466: nat > nat > nat ).

thf(func_def_4300,type,
    sK3467: nat > nat ).

thf(func_def_4301,type,
    sK3468: nat > nat ).

thf(func_def_4302,type,
    sK3469: nat > nat > nat ).

thf(func_def_4303,type,
    sK3470: nat > nat ).

thf(func_def_4304,type,
    sK3471: nat > nat ).

thf(func_def_4305,type,
    sK3472: code_integer > code_integer > code_integer ).

thf(func_def_4306,type,
    sK3473: code_integer > code_integer ).

thf(func_def_4307,type,
    sK3474: code_integer > code_integer ).

thf(func_def_4308,type,
    sK3475: code_integer > code_integer > code_integer ).

thf(func_def_4309,type,
    sK3476: code_integer > code_integer ).

thf(func_def_4310,type,
    sK3477: code_integer > code_integer ).

thf(func_def_4311,type,
    sK3478: int > int ).

thf(func_def_4312,type,
    sK3479: int > int ).

thf(func_def_4313,type,
    sK3480: int > int > int ).

thf(func_def_4314,type,
    sK3481: int > int > int ).

thf(func_def_4315,type,
    sK3482: int > int ).

thf(func_def_4316,type,
    sK3483: int > int ).

thf(func_def_4317,type,
    sK3484: nat > nat ).

thf(func_def_4318,type,
    sK3485: nat > nat ).

thf(func_def_4319,type,
    sK3486: nat > nat > nat ).

thf(func_def_4320,type,
    sK3487: nat > nat > nat ).

thf(func_def_4321,type,
    sK3488: nat > nat ).

thf(func_def_4322,type,
    sK3489: nat > nat ).

thf(func_def_4323,type,
    sK3490: code_integer > code_integer ).

thf(func_def_4324,type,
    sK3491: code_integer > code_integer ).

thf(func_def_4325,type,
    sK3492: code_integer > code_integer > code_integer ).

thf(func_def_4326,type,
    sK3493: code_integer > code_integer > code_integer ).

thf(func_def_4327,type,
    sK3494: code_integer > code_integer ).

thf(func_def_4328,type,
    sK3495: code_integer > code_integer ).

thf(func_def_4329,type,
    sK3496: int > int ).

thf(func_def_4330,type,
    sK3497: int > int ).

thf(func_def_4331,type,
    sK3498: int > int > int ).

thf(func_def_4332,type,
    sK3499: int > int > int ).

thf(func_def_4333,type,
    sK3500: nat > nat ).

thf(func_def_4334,type,
    sK3501: nat > nat ).

thf(func_def_4335,type,
    sK3502: nat > nat > nat ).

thf(func_def_4336,type,
    sK3503: nat > nat > nat ).

thf(func_def_4337,type,
    sK3504: code_integer > code_integer ).

thf(func_def_4338,type,
    sK3505: code_integer > code_integer ).

thf(func_def_4339,type,
    sK3506: code_integer > code_integer > code_integer ).

thf(func_def_4340,type,
    sK3507: code_integer > code_integer > code_integer ).

thf(func_def_4341,type,
    sK3508: int > nat > int > int ).

thf(func_def_4342,type,
    sK3509: int > int > int ).

thf(func_def_4343,type,
    sK3510: nat > nat > nat > nat ).

thf(func_def_4344,type,
    sK3511: nat > nat > nat ).

thf(func_def_4345,type,
    sK3512: nat > nat ).

thf(func_def_4346,type,
    sK3513: nat > nat ).

thf(func_def_4347,type,
    sK3514: code_integer > code_integer > code_integer ).

thf(func_def_4348,type,
    sK3515: int > int > int ).

thf(func_def_4349,type,
    sK3516: nat > nat > nat ).

thf(func_def_4350,type,
    sK3517: code_integer > code_integer ).

thf(func_def_4351,type,
    sK3518: int > int ).

thf(func_def_4352,type,
    sK3519: nat > nat ).

thf(func_def_4353,type,
    sK3520: int > int > int > int ).

thf(func_def_4354,type,
    sK3521: int > int > int ).

thf(func_def_4355,type,
    sK3522: nat > nat > nat > nat ).

thf(func_def_4356,type,
    sK3523: nat > nat > nat ).

thf(func_def_4357,type,
    sK3524: real > real > real > real ).

thf(func_def_4358,type,
    sK3525: real > real > real ).

thf(func_def_4359,type,
    sK3526: complex > complex > complex > complex ).

thf(func_def_4360,type,
    sK3527: complex > complex > complex ).

thf(func_def_4361,type,
    sK3528: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4362,type,
    sK3529: code_integer > code_integer > code_integer ).

thf(func_def_4363,type,
    sK3530: int > int > int > int ).

thf(func_def_4364,type,
    sK3531: int > int > int ).

thf(func_def_4365,type,
    sK3532: nat > nat > nat > nat ).

thf(func_def_4366,type,
    sK3533: nat > nat > nat ).

thf(func_def_4367,type,
    sK3534: real > real > real > real ).

thf(func_def_4368,type,
    sK3535: real > real > real ).

thf(func_def_4369,type,
    sK3536: complex > complex > complex ).

thf(func_def_4370,type,
    sK3537: complex > complex > complex > complex ).

thf(func_def_4371,type,
    sK3538: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4372,type,
    sK3539: code_integer > code_integer > code_integer ).

thf(func_def_4373,type,
    sK3540: int > int > int ).

thf(func_def_4374,type,
    sK3541: nat > nat > nat ).

thf(func_def_4375,type,
    sK3542: code_integer > code_integer > code_integer ).

thf(func_def_4376,type,
    sK3543: int > int > int > int ).

thf(func_def_4377,type,
    sK3544: int > int > int ).

thf(func_def_4378,type,
    sK3545: nat > nat > nat > nat ).

thf(func_def_4379,type,
    sK3546: nat > nat > nat ).

thf(func_def_4380,type,
    sK3547: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4381,type,
    sK3548: code_integer > code_integer > code_integer ).

thf(func_def_4382,type,
    sK3549: int > int > int > int ).

thf(func_def_4383,type,
    sK3550: int > int > int ).

thf(func_def_4384,type,
    sK3551: nat > nat > nat > nat ).

thf(func_def_4385,type,
    sK3552: nat > nat > nat ).

thf(func_def_4386,type,
    sK3553: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4387,type,
    sK3554: code_integer > code_integer > code_integer ).

thf(func_def_4388,type,
    sK3555: int > int > int ).

thf(func_def_4389,type,
    sK3556: int > int > int > int ).

thf(func_def_4390,type,
    sK3557: int > int > int > int ).

thf(func_def_4391,type,
    sK3558: real > real > real ).

thf(func_def_4392,type,
    sK3559: real > real > real > real ).

thf(func_def_4393,type,
    sK3560: real > real > real > real ).

thf(func_def_4394,type,
    sK3561: complex > complex > complex ).

thf(func_def_4395,type,
    sK3562: complex > complex > complex > complex ).

thf(func_def_4396,type,
    sK3563: complex > complex > complex > complex ).

thf(func_def_4397,type,
    sK3564: code_integer > code_integer > code_integer ).

thf(func_def_4398,type,
    sK3565: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4399,type,
    sK3566: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4400,type,
    sK3567: int > int > int ).

thf(func_def_4401,type,
    sK3568: int > int > int > int ).

thf(func_def_4402,type,
    sK3569: int > int > int > int ).

thf(func_def_4403,type,
    sK3570: real > real > real ).

thf(func_def_4404,type,
    sK3571: real > real > real > real ).

thf(func_def_4405,type,
    sK3572: real > real > real > real ).

thf(func_def_4406,type,
    sK3573: complex > complex > complex ).

thf(func_def_4407,type,
    sK3574: complex > complex > complex > complex ).

thf(func_def_4408,type,
    sK3575: complex > complex > complex > complex ).

thf(func_def_4409,type,
    sK3576: code_integer > code_integer > code_integer ).

thf(func_def_4410,type,
    sK3577: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4411,type,
    sK3578: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4412,type,
    sK3579: nat > nat ).

thf(func_def_4413,type,
    sK3580: nat > nat > nat ).

thf(func_def_4414,type,
    sK3581: nat > nat > nat > nat ).

thf(func_def_4415,type,
    sK3582: nat > nat > nat > nat ).

thf(func_def_4416,type,
    sK3583: code_integer > code_integer > code_integer ).

thf(func_def_4417,type,
    sK3584: code_integer > code_integer > code_integer > code_integer ).

thf(func_def_4418,type,
    sK3585: int > int > int ).

thf(func_def_4419,type,
    sK3586: int > int > int > int ).

thf(func_def_4420,type,
    sK3587: nat > nat > nat ).

thf(func_def_4421,type,
    sK3588: nat > nat > nat > nat ).

thf(func_def_4422,type,
    sK3589: int > int > int ).

thf(func_def_4423,type,
    sK3590: int > int > int ).

thf(func_def_4424,type,
    sK3591: nat > nat > nat ).

thf(func_def_4425,type,
    sK3592: nat > nat > nat ).

thf(func_def_4426,type,
    sK3593: real > real > real ).

thf(func_def_4427,type,
    sK3594: real > real > real ).

thf(func_def_4428,type,
    sK3595: code_integer > code_integer > code_integer ).

thf(func_def_4429,type,
    sK3596: code_integer > code_integer > code_integer ).

thf(func_def_4430,type,
    sK3597: int > int > int ).

thf(func_def_4431,type,
    sK3598: int > int > int ).

thf(func_def_4432,type,
    sK3599: nat > nat > nat ).

thf(func_def_4433,type,
    sK3600: nat > nat > nat ).

thf(func_def_4434,type,
    sK3601: real > real > real ).

thf(func_def_4435,type,
    sK3602: real > real > real ).

thf(func_def_4436,type,
    sK3603: code_integer > code_integer > code_integer ).

thf(func_def_4437,type,
    sK3604: code_integer > code_integer > code_integer ).

thf(func_def_4438,type,
    sK3605: int > int ).

thf(func_def_4439,type,
    sK3606: nat > nat ).

thf(func_def_4440,type,
    sK3607: real > real ).

thf(func_def_4441,type,
    sK3608: complex > complex ).

thf(func_def_4442,type,
    sK3609: code_integer > code_integer ).

thf(func_def_4443,type,
    sK3610: int > int ).

thf(func_def_4444,type,
    sK3611: nat > nat ).

thf(func_def_4445,type,
    sK3612: real > real ).

thf(func_def_4446,type,
    sK3613: complex > complex ).

thf(func_def_4447,type,
    sK3614: code_integer > code_integer ).

thf(func_def_4448,type,
    sK3615: num > nat ).

thf(func_def_4449,type,
    sK3616: num > nat ).

thf(func_def_4450,type,
    sK3617: num > nat ).

thf(func_def_4451,type,
    sK3618: num > nat ).

thf(func_def_4452,type,
    sK3619: num > nat ).

thf(func_def_4453,type,
    sK3620: num > nat ).

thf(func_def_4454,type,
    sK3621: num > nat ).

thf(func_def_4455,type,
    sK3622: num > nat ).

thf(func_def_4456,type,
    sK3623: num > nat ).

thf(func_def_4457,type,
    sK3624: num > nat ).

thf(func_def_4458,type,
    sK3625: num > nat ).

thf(func_def_4459,type,
    sK3626: num > nat ).

thf(func_def_4460,type,
    sK3627: num > nat ).

thf(func_def_4461,type,
    sK3628: num > nat ).

thf(func_def_4462,type,
    sK3629: num > nat ).

thf(func_def_4463,type,
    sK3630: option_num > num ).

thf(func_def_4464,type,
    sK3631: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_4465,type,
    sK3632: option_num > num ).

thf(func_def_4466,type,
    sK3633: option4927543243414619207at_nat > product_prod_nat_nat ).

thf(func_def_4467,type,
    sK3634: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4468,type,
    sK3635: vEBT_VEBT > nat > nat > nat ).

thf(func_def_4469,type,
    sK3636: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_4470,type,
    sK3637: vEBT_VEBT > nat > list_VEBT_VEBT > nat ).

thf(func_def_4471,type,
    sK3638: set_int > set_int > int ).

thf(func_def_4472,type,
    sK3639: set_int > set_int > int ).

thf(func_def_4473,type,
    sK3640: set_int > set_int > int ).

thf(func_def_4474,type,
    sK3641: set_int > set_int > int ).

thf(func_def_4475,type,
    sK3642: set_int > set_int > int ).

thf(func_def_4476,type,
    sK3643: set_int > set_int > int ).

thf(func_def_4477,type,
    sK3644: set_int > set_int > int ).

thf(func_def_4478,type,
    sK3645: set_int > set_int > int ).

thf(func_def_4479,type,
    sK3646: set_int > set_int > int ).

thf(func_def_4480,type,
    sK3647: set_int > set_int > int ).

thf(func_def_4481,type,
    sK3648: set_int > set_int > int ).

thf(func_def_4482,type,
    sK3649: set_int > set_int > int ).

thf(func_def_4483,type,
    sK3650: set_int > set_int > int ).

thf(func_def_4484,type,
    sK3651: set_int > set_int > int ).

thf(func_def_4485,type,
    sK3652: set_int > set_int > int ).

thf(func_def_4486,type,
    sK3653: set_int > set_int > int ).

thf(func_def_4487,type,
    sK3654: set_int > set_int > int ).

thf(func_def_4488,type,
    sK3655: set_int > set_int > int ).

thf(func_def_4489,type,
    sK3656: set_int > set_int > int ).

thf(func_def_4490,type,
    sK3657: set_int > set_int > int ).

thf(func_def_4491,type,
    sK3658: set_int > set_int > int ).

thf(func_def_4492,type,
    sK3659: set_int > set_int > int ).

thf(func_def_4493,type,
    sK3660: set_int > set_int > int ).

thf(func_def_4494,type,
    sK3661: set_int > set_int > int ).

thf(func_def_4495,type,
    sK3662: set_int > set_int > int ).

thf(func_def_4496,type,
    sK3663: set_int > set_int > int ).

thf(func_def_4497,type,
    sK3664: set_int > set_int > int ).

thf(func_def_4498,type,
    sK3665: set_int > set_int > int ).

thf(func_def_4499,type,
    sK3666: set_int > set_int > int ).

thf(func_def_4500,type,
    sK3667: set_int > set_int > int ).

thf(func_def_4501,type,
    sK3668: set_int > set_int > int ).

thf(func_def_4502,type,
    sK3669: set_int > set_int > int ).

thf(func_def_4503,type,
    sK3670: set_int > set_int > int ).

thf(func_def_4504,type,
    sK3671: set_int > set_int > int ).

thf(func_def_4505,type,
    sK3672: set_int > set_int > int ).

thf(func_def_4506,type,
    sK3673: set_int > set_int > int ).

thf(func_def_4507,type,
    sK3674: set_int > set_int > int ).

thf(func_def_4508,type,
    sK3675: set_int > set_int > int ).

thf(func_def_4509,type,
    sK3676: set_int > set_int > int ).

thf(func_def_4510,type,
    sK3677: set_int > set_int > int ).

thf(func_def_4511,type,
    sK3678: set_int > set_int > int ).

thf(func_def_4512,type,
    sK3679: set_int > set_int > int ).

thf(func_def_4513,type,
    sK3680: set_int > set_int > int ).

thf(func_def_4514,type,
    sK3681: set_int > set_int > int ).

thf(func_def_4515,type,
    sK3682: set_int > set_int > int ).

thf(func_def_4516,type,
    sK3683: set_int > set_int > int ).

thf(func_def_4517,type,
    sK3684: set_int > set_int > int ).

thf(func_def_4518,type,
    sK3685: set_int > set_int > int ).

thf(func_def_4519,type,
    sK3686: set_int > set_int > int ).

thf(func_def_4520,type,
    sK3687: set_int > set_int > int ).

thf(func_def_4521,type,
    sK3688: set_int > set_int > int ).

thf(func_def_4522,type,
    sK3689: set_int > set_int > int ).

thf(func_def_4523,type,
    sK3690: set_int > set_int > int ).

thf(func_def_4524,type,
    sK3691: set_int > set_int > int ).

thf(func_def_4525,type,
    sK3692: set_int > set_int > int ).

thf(func_def_4526,type,
    sK3693: set_int > set_int > int ).

thf(func_def_4527,type,
    sK3694: set_int > set_int > int ).

thf(func_def_4528,type,
    sK3695: set_int > set_int > int ).

thf(func_def_4529,type,
    sK3696: set_int > set_int > int ).

thf(func_def_4530,type,
    sK3697: set_int > set_int > int ).

thf(func_def_4531,type,
    sK3698: set_int > set_int > int ).

thf(func_def_4532,type,
    sK3699: set_int > set_int > int ).

thf(func_def_4533,type,
    sK3700: set_int > set_int > int ).

thf(func_def_4534,type,
    sK3701: set_int > set_int > int ).

thf(func_def_4535,type,
    sK3702: set_int > set_int > int ).

thf(func_def_4536,type,
    sK3703: set_int > set_int > int ).

thf(func_def_4537,type,
    sK3704: set_int > set_int > int ).

thf(func_def_4538,type,
    sK3705: set_int > set_int > int ).

thf(func_def_4539,type,
    sK3706: set_int > set_int > int ).

thf(func_def_4540,type,
    sK3707: set_int > set_int > int ).

thf(func_def_4541,type,
    sK3708: set_int > set_int > int ).

thf(func_def_4542,type,
    sK3709: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_4543,type,
    sK3710: ( int > $o ) > ( int > $o ) > int ).

thf(func_def_4544,type,
    sK3711: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4545,type,
    sK3712: ( nat > $o ) > ( nat > $o ) > nat ).

thf(func_def_4546,type,
    sK3713: ( list_nat > $o ) > ( list_nat > $o ) > list_nat ).

thf(func_def_4547,type,
    sK3714: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_4548,type,
    sK3715: ( real > $o ) > ( real > $o ) > real ).

thf(func_def_4549,type,
    sK3716: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_4550,type,
    sK3717: ( complex > $o ) > ( complex > $o ) > complex ).

thf(func_def_4551,type,
    sK3718: set_int > set_int > int ).

thf(func_def_4552,type,
    sK3719: set_int > set_int > int ).

thf(func_def_4553,type,
    sK3720: set_int > set_int > int ).

thf(func_def_4554,type,
    sK3721: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4555,type,
    sK3722: set_complex > set_complex > complex ).

thf(func_def_4556,type,
    sK3723: set_nat > set_nat > nat ).

thf(func_def_4557,type,
    sK3724: set_real > set_real > real ).

thf(func_def_4558,type,
    sK3725: set_int > set_int > int ).

thf(func_def_4559,type,
    sK3726: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > product_prod_nat_nat ).

thf(func_def_4560,type,
    sK3727: set_complex > set_complex > complex ).

thf(func_def_4561,type,
    sK3728: set_nat > set_nat > nat ).

thf(func_def_4562,type,
    sK3729: set_real > set_real > real ).

thf(func_def_4563,type,
    sK3730: set_int > set_int > int ).

thf(func_def_4564,type,
    sK3731: set_int > set_int > int ).

thf(func_def_4565,type,
    sK3732: set_int > set_int > int ).

thf(func_def_4566,type,
    sK3733: set_int > set_int > int ).

thf(func_def_4567,type,
    sK3734: set_int > set_int > int ).

thf(func_def_4568,type,
    sK3735: set_int > set_int > int ).

thf(func_def_4569,type,
    sK3736: set_int > set_int > int ).

thf(func_def_4570,type,
    sK3737: set_int > set_int > int ).

thf(func_def_4571,type,
    sK3738: set_int > set_int > int ).

thf(func_def_4572,type,
    sK3739: set_int > set_int > int ).

thf(func_def_4573,type,
    sK3740: set_int > set_int > int ).

thf(func_def_4574,type,
    sK3741: set_int > set_int > int ).

thf(func_def_4575,type,
    sK3742: set_int > set_int > int ).

thf(func_def_4576,type,
    sK3743: set_int > set_int > int ).

thf(func_def_4577,type,
    sK3744: set_int > set_int > int ).

thf(func_def_4578,type,
    sK3745: nat > nat > nat ).

thf(func_def_4579,type,
    sK3746: ( nat > $o ) > nat > nat ).

thf(func_def_4580,type,
    sK3747: ( nat > $o ) > nat > nat ).

thf(func_def_4581,type,
    sK3748: nat > nat ).

thf(func_def_4582,type,
    sK3749: ( nat > $o ) > nat > nat ).

thf(func_def_4583,type,
    sK3750: ( nat > $o ) > nat > nat ).

thf(func_def_4584,type,
    sK3751: set_int > set_int > int ).

thf(func_def_4585,type,
    sK3752: nat > list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4586,type,
    sK3753: nat > list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4587,type,
    sK3754: set_int > set_int > int ).

thf(func_def_4588,type,
    sK3755: set_int > set_int > int ).

thf(func_def_4589,type,
    sK3756: set_int > set_int > int ).

thf(func_def_4590,type,
    sK3757: set_int > set_int > int ).

thf(func_def_4591,type,
    sK3758: set_int > set_int > int ).

thf(func_def_4592,type,
    sK3759: ( nat > int > $o ) > nat > nat ).

thf(func_def_4593,type,
    sK3760: ( nat > int > $o ) > nat > list_int ).

thf(func_def_4594,type,
    sK3761: ( nat > int > $o ) > list_int > nat > nat ).

thf(func_def_4595,type,
    sK3762: ( nat > int > $o ) > nat > int ).

thf(func_def_4596,type,
    sK3763: ( nat > nat > $o ) > nat > nat ).

thf(func_def_4597,type,
    sK3764: ( nat > nat > $o ) > nat > list_nat ).

thf(func_def_4598,type,
    sK3765: ( nat > nat > $o ) > list_nat > nat > nat ).

thf(func_def_4599,type,
    sK3766: ( nat > nat > $o ) > nat > nat ).

thf(func_def_4600,type,
    sK3767: ( nat > $o > $o ) > nat > nat ).

thf(func_def_4601,type,
    sK3768: ( nat > $o > $o ) > nat > list_o ).

thf(func_def_4602,type,
    sK3769: ( nat > $o > $o ) > list_o > nat > nat ).

thf(func_def_4603,type,
    sK3770: ( nat > $o > $o ) > nat > $o ).

thf(func_def_4604,type,
    sK3771: ( nat > vEBT_VEBT > $o ) > nat > nat ).

thf(func_def_4605,type,
    sK3772: ( nat > vEBT_VEBT > $o ) > nat > list_VEBT_VEBT ).

thf(func_def_4606,type,
    sK3773: ( nat > vEBT_VEBT > $o ) > list_VEBT_VEBT > nat > nat ).

thf(func_def_4607,type,
    sK3774: ( nat > vEBT_VEBT > $o ) > nat > vEBT_VEBT ).

thf(func_def_4608,type,
    sK3775: set_int > list_int > int ).

thf(func_def_4609,type,
    sK3776: set_int > list_int > int ).

thf(func_def_4610,type,
    sK3777: set_nat > list_nat > nat ).

thf(func_def_4611,type,
    sK3778: set_nat > list_nat > nat ).

thf(func_def_4612,type,
    sK3779: set_VEBT_VEBT > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_4613,type,
    sK3780: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_4614,type,
    sK3781: set_Pr1261947904930325089at_nat > list_P6011104703257516679at_nat > product_prod_nat_nat ).

thf(func_def_4615,type,
    sK3782: set_complex > list_complex > complex ).

thf(func_def_4616,type,
    sK3783: set_complex > list_complex > complex ).

thf(func_def_4617,type,
    sK3784: set_real > list_real > real ).

thf(func_def_4618,type,
    sK3785: set_real > list_real > real ).

thf(func_def_4619,type,
    sK3786: ( int > $o ) > list_int > nat ).

thf(func_def_4620,type,
    sK3787: ( int > $o ) > list_int > int ).

thf(func_def_4621,type,
    sK3788: ( nat > $o ) > list_nat > nat ).

thf(func_def_4622,type,
    sK3789: ( nat > $o ) > list_nat > nat ).

thf(func_def_4623,type,
    sK3790: ( $o > $o ) > list_o > nat ).

thf(func_def_4624,type,
    sK3791: ( $o > $o ) > list_o > $o ).

thf(func_def_4625,type,
    sK3792: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > nat ).

thf(func_def_4626,type,
    sK3793: ( vEBT_VEBT > $o ) > list_VEBT_VEBT > vEBT_VEBT ).

thf(func_def_4627,type,
    sK3794: list_int > int > nat ).

thf(func_def_4628,type,
    sK3795: list_nat > nat > nat ).

thf(func_def_4629,type,
    sK3796: list_o > $o > nat ).

thf(func_def_4630,type,
    sK3797: list_VEBT_VEBT > vEBT_VEBT > nat ).

thf(func_def_4631,type,
    sK3798: list_P6011104703257516679at_nat > product_prod_nat_nat > nat ).

thf(func_def_4632,type,
    sK3799: list_complex > complex > nat ).

thf(func_def_4633,type,
    sK3800: list_real > real > nat ).

thf(func_def_4634,type,
    sK3801: ( nat > set_int ) > int ).

thf(func_def_4635,type,
    sK3802: ( nat > set_int ) > int ).

thf(func_def_4636,type,
    sK3803: ( nat > set_int ) > int ).

thf(func_def_4637,type,
    sK3804: ( nat > set_int ) > int ).

thf(func_def_4638,type,
    sK3805: nat > nat > nat ).

thf(func_def_4639,type,
    sK3806: ( nat > $o ) > nat > nat ).

thf(func_def_4640,type,
    sK3807: ( nat > $o ) > nat > nat ).

thf(func_def_4641,type,
    sK3808: ( nat > $o ) > nat > nat ).

thf(func_def_4642,type,
    sK3809: ( nat > $o ) > nat > nat ).

thf(func_def_4643,type,
    sK3810: ( nat > $o ) > nat > nat ).

thf(func_def_4644,type,
    sK3811: ( nat > $o ) > nat > nat ).

thf(func_def_4645,type,
    sK3812: nat > nat ).

thf(f1,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_0_both__member__options__def) ).

thf(f8,axiom,
    ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
   => ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

thf(f9,axiom,
    ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
   => ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062) ).

thf(f11,axiom,
    ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    | ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062) ).

thf(f17,axiom,
    ( vEBT_VEBT_high
    = ( ^ [X0: nat,X1: nat] : ( divide_divide_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_16_high__def) ).

thf(f380,axiom,
    ( suc
    = ( ^ [X0: nat] : ( plus_plus_nat @ X0 @ one_one_nat ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_379_Suc__eq__plus1) ).

thf(f631,axiom,
    ( vEBT_VEBT_low
    = ( ^ [X0: nat,X1: nat] : ( modulo_modulo_nat @ X0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_630_low__def) ).

thf(f4248,axiom,
    ( modulo_modulo_nat
    = ( ^ [X0: nat,X1: nat] : ( minus_minus_nat @ X0 @ ( times_times_nat @ ( divide_divide_nat @ X0 @ X1 ) @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4247_modulo__nat__def) ).

thf(f5774,axiom,
    ( numeral_numeral_nat
    = ( ^ [X0: num] : ( suc @ ( pred_numeral @ X0 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5773_numeral__eq__Suc) ).

thf(f8455,axiom,
    ( plus_plus_nat
    = ( ^ [X0: nat,X1: nat] : ( nat2 @ ( plus_plus_int @ ( semiri1314217659103216013at_int @ X0 ) @ ( semiri1314217659103216013at_int @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8454_nat__plus__as__int) ).

thf(f8456,axiom,
    ( divide_divide_nat
    = ( ^ [X0: nat,X1: nat] : ( nat2 @ ( divide_divide_int @ ( semiri1314217659103216013at_int @ X0 ) @ ( semiri1314217659103216013at_int @ X1 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8455_nat__div__as__int) ).

thf(f8842,axiom,
    ( semiri1314217659103216013at_int
    = ( ^ [X0: nat] :
          ( semiri8420488043553186161ux_int
          @ ^ [X1: int] : ( plus_plus_int @ X1 @ one_one_int )
          @ X0
          @ zero_zero_int ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8841_of__nat__code) ).

thf(f10249,conjecture,
    vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(f10250,negated_conjecture,
    ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ),
    inference(negated_conjecture,[status(cth)],[f10249]) ).

thf(f10251,plain,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [X0: vEBT_VEBT,X1: nat] :
          ( ( vEBT_VEBT_membermima @ X0 @ X1 )
          | ( vEBT_V5719532721284313246member @ X0 @ X1 ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f10252,plain,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [Y0: vEBT_VEBT,Y1: nat] :
          ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
          | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f10251]) ).

thf(f10264,plain,
    ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
   => ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ),
    inference(rectify,[],[f8]) ).

thf(f10265,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true )
   => ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true ) ),
    inference(fool_elimination,[],[f10264]) ).

thf(f10266,plain,
    ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
   => ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ),
    inference(rectify,[],[f9]) ).

thf(f10267,plain,
    ( ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true )
   => ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true ) ),
    inference(fool_elimination,[],[f10266]) ).

thf(f10270,plain,
    ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
    | ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ),
    inference(rectify,[],[f11]) ).

thf(f10271,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true )
    | ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true ) ),
    inference(fool_elimination,[],[f10270]) ).

thf(f10280,plain,
    ( vEBT_VEBT_high
    = ( ^ [Y0: nat,Y1: nat] : ( divide_divide_nat @ Y0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f17]) ).

thf(f10678,plain,
    ( suc
    = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ one_one_nat ) ) ),
    inference(fool_elimination,[],[f380]) ).

thf(f11015,plain,
    ( vEBT_VEBT_low
    = ( ^ [Y0: nat,Y1: nat] : ( modulo_modulo_nat @ Y0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f631]) ).

thf(f15841,plain,
    ( modulo_modulo_nat
    = ( ^ [Y0: nat,Y1: nat] : ( minus_minus_nat @ Y0 @ ( times_times_nat @ ( divide_divide_nat @ Y0 @ Y1 ) @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f4248]) ).

thf(f16897,plain,
    ( numeral_numeral_nat
    = ( ^ [Y0: num] : ( suc @ ( pred_numeral @ Y0 ) ) ) ),
    inference(fool_elimination,[],[f5774]) ).

thf(f19470,plain,
    ( plus_plus_nat
    = ( ^ [Y0: nat,Y1: nat] : ( nat2 @ ( plus_plus_int @ ( semiri1314217659103216013at_int @ Y0 ) @ ( semiri1314217659103216013at_int @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f8455]) ).

thf(f19471,plain,
    ( divide_divide_nat
    = ( ^ [Y0: nat,Y1: nat] : ( nat2 @ ( divide_divide_int @ ( semiri1314217659103216013at_int @ Y0 ) @ ( semiri1314217659103216013at_int @ Y1 ) ) ) ) ),
    inference(fool_elimination,[],[f8456]) ).

thf(f20138,plain,
    ( semiri1314217659103216013at_int
    = ( ^ [X0: nat] :
          ( semiri8420488043553186161ux_int
          @ ^ [X1: int] : ( plus_plus_int @ X1 @ one_one_int )
          @ X0
          @ zero_zero_int ) ) ),
    inference(rectify,[],[f8842]) ).

thf(f20139,plain,
    ( semiri1314217659103216013at_int
    = ( ^ [Y0: nat] :
          ( semiri8420488043553186161ux_int
          @ ^ [Y1: int] : ( plus_plus_int @ Y1 @ one_one_int )
          @ Y0
          @ zero_zero_int ) ) ),
    inference(fool_elimination,[],[f20138]) ).

thf(f22139,plain,
    ~ ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ),
    inference(rectify,[],[f10250]) ).

thf(f22140,plain,
    ( ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
   != $true ),
    inference(fool_elimination,[],[f22139]) ).

thf(f22634,plain,
    ( ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
   != $true ),
    inference(flattening,[],[f22140]) ).

thf(f22636,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
     != $true ) ),
    inference(ennf_transformation,[],[f10265]) ).

thf(f22637,plain,
    ( ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
     != $true ) ),
    inference(ennf_transformation,[],[f10267]) ).

thf(f30157,plain,
    ( vEBT_V8194947554948674370ptions
    = ( ^ [Y0: vEBT_VEBT,Y1: nat] :
          ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
          | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f10252]) ).

thf(f30164,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f22636]) ).

thf(f30165,plain,
    ( ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
     != $true ) ),
    inference(cnf_transformation,[],[f22637]) ).

thf(f30167,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true )
    | ( ( vEBT_VEBT_membermima @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( vEBT_VEBT_low @ x @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) )
      = $true ) ),
    inference(cnf_transformation,[],[f10271]) ).

thf(f30174,plain,
    ( vEBT_VEBT_high
    = ( ^ [Y0: nat,Y1: nat] : ( divide_divide_nat @ Y0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f10280]) ).

thf(f30581,plain,
    ( suc
    = ( ^ [Y0: nat] : ( plus_plus_nat @ Y0 @ one_one_nat ) ) ),
    inference(cnf_transformation,[],[f10678]) ).

thf(f30856,plain,
    ( vEBT_VEBT_low
    = ( ^ [Y0: nat,Y1: nat] : ( modulo_modulo_nat @ Y0 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f11015]) ).

thf(f35033,plain,
    ( modulo_modulo_nat
    = ( ^ [Y0: nat,Y1: nat] : ( minus_minus_nat @ Y0 @ ( times_times_nat @ ( divide_divide_nat @ Y0 @ Y1 ) @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f15841]) ).

thf(f36630,plain,
    ( numeral_numeral_nat
    = ( ^ [Y0: num] : ( suc @ ( pred_numeral @ Y0 ) ) ) ),
    inference(cnf_transformation,[],[f16897]) ).

thf(f39489,plain,
    ( plus_plus_nat
    = ( ^ [Y0: nat,Y1: nat] : ( nat2 @ ( plus_plus_int @ ( semiri1314217659103216013at_int @ Y0 ) @ ( semiri1314217659103216013at_int @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f19470]) ).

thf(f39490,plain,
    ( divide_divide_nat
    = ( ^ [Y0: nat,Y1: nat] : ( nat2 @ ( divide_divide_int @ ( semiri1314217659103216013at_int @ Y0 ) @ ( semiri1314217659103216013at_int @ Y1 ) ) ) ) ),
    inference(cnf_transformation,[],[f19471]) ).

thf(f40035,plain,
    ( semiri1314217659103216013at_int
    = ( ^ [Y0: nat] :
          ( semiri8420488043553186161ux_int
          @ ^ [Y1: int] : ( plus_plus_int @ Y1 @ one_one_int )
          @ Y0
          @ zero_zero_int ) ) ),
    inference(cnf_transformation,[],[f20139]) ).

thf(f42199,plain,
    ( ( vEBT_V8194947554948674370ptions @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
   != $true ),
    inference(cnf_transformation,[],[f22634]) ).

thf(f42219,plain,
    ( divide_divide_nat
    = ( ^ [Y0: nat,Y1: nat] :
          ( nat2
          @ ( divide_divide_int
            @ ( ^ [Y2: nat] :
                  ( semiri8420488043553186161ux_int
                  @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                  @ Y2
                  @ zero_zero_int )
              @ Y0 )
            @ ( ^ [Y2: nat] :
                  ( semiri8420488043553186161ux_int
                  @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                  @ Y2
                  @ zero_zero_int )
              @ Y1 ) ) ) ) ),
    inference(definition_unfolding,[],[f39490,f40035,f40035]) ).

thf(f42220,plain,
    ( modulo_modulo_nat
    = ( ^ [Y0: nat,Y1: nat] :
          ( minus_minus_nat @ Y0
          @ ( times_times_nat
            @ ( ^ [Y2: nat,Y3: nat] :
                  ( nat2
                  @ ( divide_divide_int
                    @ ( ^ [Y4: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                          @ Y4
                          @ zero_zero_int )
                      @ Y2 )
                    @ ( ^ [Y4: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                          @ Y4
                          @ zero_zero_int )
                      @ Y3 ) ) )
              @ Y0
              @ Y1 )
            @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f35033,f42219]) ).

thf(f42224,plain,
    ( plus_plus_nat
    = ( ^ [Y0: nat,Y1: nat] :
          ( nat2
          @ ( plus_plus_int
            @ ( ^ [Y2: nat] :
                  ( semiri8420488043553186161ux_int
                  @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                  @ Y2
                  @ zero_zero_int )
              @ Y0 )
            @ ( ^ [Y2: nat] :
                  ( semiri8420488043553186161ux_int
                  @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                  @ Y2
                  @ zero_zero_int )
              @ Y1 ) ) ) ) ),
    inference(definition_unfolding,[],[f39489,f40035,f40035]) ).

thf(f42225,plain,
    ( suc
    = ( ^ [Y0: nat] :
          ( ^ [Y1: nat,Y2: nat] :
              ( nat2
              @ ( plus_plus_int
                @ ( ^ [Y3: nat] :
                      ( semiri8420488043553186161ux_int
                      @ ^ [Y4: int] : ( plus_plus_int @ Y4 @ one_one_int )
                      @ Y3
                      @ zero_zero_int )
                  @ Y1 )
                @ ( ^ [Y3: nat] :
                      ( semiri8420488043553186161ux_int
                      @ ^ [Y4: int] : ( plus_plus_int @ Y4 @ one_one_int )
                      @ Y3
                      @ zero_zero_int )
                  @ Y2 ) ) )
          @ Y0
          @ one_one_nat ) ) ),
    inference(definition_unfolding,[],[f30581,f42224]) ).

thf(f42231,plain,
    ( numeral_numeral_nat
    = ( ^ [Y0: num] :
          ( ^ [Y1: nat] :
              ( ^ [Y2: nat,Y3: nat] :
                  ( nat2
                  @ ( plus_plus_int
                    @ ( ^ [Y4: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                          @ Y4
                          @ zero_zero_int )
                      @ Y2 )
                    @ ( ^ [Y4: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                          @ Y4
                          @ zero_zero_int )
                      @ Y3 ) ) )
              @ Y1
              @ one_one_nat )
          @ ( pred_numeral @ Y0 ) ) ) ),
    inference(definition_unfolding,[],[f36630,f42225]) ).

thf(f42316,plain,
    ( vEBT_VEBT_high
    = ( ^ [Y0: nat,Y1: nat] :
          ( ^ [Y2: nat,Y3: nat] :
              ( nat2
              @ ( divide_divide_int
                @ ( ^ [Y4: nat] :
                      ( semiri8420488043553186161ux_int
                      @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                      @ Y4
                      @ zero_zero_int )
                  @ Y2 )
                @ ( ^ [Y4: nat] :
                      ( semiri8420488043553186161ux_int
                      @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                      @ Y4
                      @ zero_zero_int )
                  @ Y3 ) ) )
          @ Y0
          @ ( power_power_nat
            @ ( ^ [Y2: num] :
                  ( ^ [Y3: nat] :
                      ( ^ [Y4: nat,Y5: nat] :
                          ( nat2
                          @ ( plus_plus_int
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y4 )
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y5 ) ) )
                      @ Y3
                      @ one_one_nat )
                  @ ( pred_numeral @ Y2 ) )
              @ ( bit0 @ one ) )
            @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f30174,f42219,f42231]) ).

thf(f42317,plain,
    ( vEBT_VEBT_low
    = ( ^ [Y0: nat,Y1: nat] :
          ( ^ [Y2: nat,Y3: nat] :
              ( minus_minus_nat @ Y2
              @ ( times_times_nat
                @ ( ^ [Y4: nat,Y5: nat] :
                      ( nat2
                      @ ( divide_divide_int
                        @ ( ^ [Y6: nat] :
                              ( semiri8420488043553186161ux_int
                              @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                              @ Y6
                              @ zero_zero_int )
                          @ Y4 )
                        @ ( ^ [Y6: nat] :
                              ( semiri8420488043553186161ux_int
                              @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                              @ Y6
                              @ zero_zero_int )
                          @ Y5 ) ) )
                  @ Y2
                  @ Y3 )
                @ Y3 ) )
          @ Y0
          @ ( power_power_nat
            @ ( ^ [Y2: num] :
                  ( ^ [Y3: nat] :
                      ( ^ [Y4: nat,Y5: nat] :
                          ( nat2
                          @ ( plus_plus_int
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y4 )
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y5 ) ) )
                      @ Y3
                      @ one_one_nat )
                  @ ( pred_numeral @ Y2 ) )
              @ ( bit0 @ one ) )
            @ Y1 ) ) ) ),
    inference(definition_unfolding,[],[f30856,f42220,f42231]) ).

thf(f42361,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( $true
     != ( vEBT_V5719532721284313246member
        @ ( nth_VEBT_VEBT @ treeList
          @ ( ^ [Y0: nat,Y1: nat] :
                ( ^ [Y2: nat,Y3: nat] :
                    ( nat2
                    @ ( divide_divide_int
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y2 )
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y3 ) ) )
                @ Y0
                @ ( power_power_nat
                  @ ( ^ [Y2: num] :
                        ( ^ [Y3: nat] :
                            ( ^ [Y4: nat,Y5: nat] :
                                ( nat2
                                @ ( plus_plus_int
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y4 )
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y5 ) ) )
                            @ Y3
                            @ one_one_nat )
                        @ ( pred_numeral @ Y2 ) )
                    @ ( bit0 @ one ) )
                  @ Y1 ) )
            @ x
            @ ( ^ [Y0: nat,Y1: nat] :
                  ( nat2
                  @ ( divide_divide_int
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y0 )
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y1 ) ) )
              @ deg
              @ ( ^ [Y0: num] :
                    ( ^ [Y1: nat] :
                        ( ^ [Y2: nat,Y3: nat] :
                            ( nat2
                            @ ( plus_plus_int
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y2 )
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y3 ) ) )
                        @ Y1
                        @ one_one_nat )
                    @ ( pred_numeral @ Y0 ) )
                @ ( bit0 @ one ) ) ) ) )
        @ ( ^ [Y0: nat,Y1: nat] :
              ( ^ [Y2: nat,Y3: nat] :
                  ( minus_minus_nat @ Y2
                  @ ( times_times_nat
                    @ ( ^ [Y4: nat,Y5: nat] :
                          ( nat2
                          @ ( divide_divide_int
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y4 )
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y5 ) ) )
                      @ Y2
                      @ Y3 )
                    @ Y3 ) )
              @ Y0
              @ ( power_power_nat
                @ ( ^ [Y2: num] :
                      ( ^ [Y3: nat] :
                          ( ^ [Y4: nat,Y5: nat] :
                              ( nat2
                              @ ( plus_plus_int
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y4 )
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y5 ) ) )
                          @ Y3
                          @ one_one_nat )
                      @ ( pred_numeral @ Y2 ) )
                  @ ( bit0 @ one ) )
                @ Y1 ) )
          @ x
          @ ( ^ [Y0: nat,Y1: nat] :
                ( nat2
                @ ( divide_divide_int
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y0 )
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y1 ) ) )
            @ deg
            @ ( ^ [Y0: num] :
                  ( ^ [Y1: nat] :
                      ( ^ [Y2: nat,Y3: nat] :
                          ( nat2
                          @ ( plus_plus_int
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y2 )
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y3 ) ) )
                      @ Y1
                      @ one_one_nat )
                  @ ( pred_numeral @ Y0 ) )
              @ ( bit0 @ one ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f30164,f42316,f42219,f42231,f42317,f42219,f42231]) ).

thf(f42362,plain,
    ( ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( $true
     != ( vEBT_VEBT_membermima
        @ ( nth_VEBT_VEBT @ treeList
          @ ( ^ [Y0: nat,Y1: nat] :
                ( ^ [Y2: nat,Y3: nat] :
                    ( nat2
                    @ ( divide_divide_int
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y2 )
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y3 ) ) )
                @ Y0
                @ ( power_power_nat
                  @ ( ^ [Y2: num] :
                        ( ^ [Y3: nat] :
                            ( ^ [Y4: nat,Y5: nat] :
                                ( nat2
                                @ ( plus_plus_int
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y4 )
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y5 ) ) )
                            @ Y3
                            @ one_one_nat )
                        @ ( pred_numeral @ Y2 ) )
                    @ ( bit0 @ one ) )
                  @ Y1 ) )
            @ x
            @ ( ^ [Y0: nat,Y1: nat] :
                  ( nat2
                  @ ( divide_divide_int
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y0 )
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y1 ) ) )
              @ deg
              @ ( ^ [Y0: num] :
                    ( ^ [Y1: nat] :
                        ( ^ [Y2: nat,Y3: nat] :
                            ( nat2
                            @ ( plus_plus_int
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y2 )
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y3 ) ) )
                        @ Y1
                        @ one_one_nat )
                    @ ( pred_numeral @ Y0 ) )
                @ ( bit0 @ one ) ) ) ) )
        @ ( ^ [Y0: nat,Y1: nat] :
              ( ^ [Y2: nat,Y3: nat] :
                  ( minus_minus_nat @ Y2
                  @ ( times_times_nat
                    @ ( ^ [Y4: nat,Y5: nat] :
                          ( nat2
                          @ ( divide_divide_int
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y4 )
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y5 ) ) )
                      @ Y2
                      @ Y3 )
                    @ Y3 ) )
              @ Y0
              @ ( power_power_nat
                @ ( ^ [Y2: num] :
                      ( ^ [Y3: nat] :
                          ( ^ [Y4: nat,Y5: nat] :
                              ( nat2
                              @ ( plus_plus_int
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y4 )
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y5 ) ) )
                          @ Y3
                          @ one_one_nat )
                      @ ( pred_numeral @ Y2 ) )
                  @ ( bit0 @ one ) )
                @ Y1 ) )
          @ x
          @ ( ^ [Y0: nat,Y1: nat] :
                ( nat2
                @ ( divide_divide_int
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y0 )
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y1 ) ) )
            @ deg
            @ ( ^ [Y0: num] :
                  ( ^ [Y1: nat] :
                      ( ^ [Y2: nat,Y3: nat] :
                          ( nat2
                          @ ( plus_plus_int
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y2 )
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y3 ) ) )
                      @ Y1
                      @ one_one_nat )
                  @ ( pred_numeral @ Y0 ) )
              @ ( bit0 @ one ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f30165,f42316,f42219,f42231,f42317,f42219,f42231]) ).

thf(f42364,plain,
    ( ( $true
      = ( vEBT_V5719532721284313246member
        @ ( nth_VEBT_VEBT @ treeList
          @ ( ^ [Y0: nat,Y1: nat] :
                ( ^ [Y2: nat,Y3: nat] :
                    ( nat2
                    @ ( divide_divide_int
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y2 )
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y3 ) ) )
                @ Y0
                @ ( power_power_nat
                  @ ( ^ [Y2: num] :
                        ( ^ [Y3: nat] :
                            ( ^ [Y4: nat,Y5: nat] :
                                ( nat2
                                @ ( plus_plus_int
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y4 )
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y5 ) ) )
                            @ Y3
                            @ one_one_nat )
                        @ ( pred_numeral @ Y2 ) )
                    @ ( bit0 @ one ) )
                  @ Y1 ) )
            @ x
            @ ( ^ [Y0: nat,Y1: nat] :
                  ( nat2
                  @ ( divide_divide_int
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y0 )
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y1 ) ) )
              @ deg
              @ ( ^ [Y0: num] :
                    ( ^ [Y1: nat] :
                        ( ^ [Y2: nat,Y3: nat] :
                            ( nat2
                            @ ( plus_plus_int
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y2 )
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y3 ) ) )
                        @ Y1
                        @ one_one_nat )
                    @ ( pred_numeral @ Y0 ) )
                @ ( bit0 @ one ) ) ) ) )
        @ ( ^ [Y0: nat,Y1: nat] :
              ( ^ [Y2: nat,Y3: nat] :
                  ( minus_minus_nat @ Y2
                  @ ( times_times_nat
                    @ ( ^ [Y4: nat,Y5: nat] :
                          ( nat2
                          @ ( divide_divide_int
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y4 )
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y5 ) ) )
                      @ Y2
                      @ Y3 )
                    @ Y3 ) )
              @ Y0
              @ ( power_power_nat
                @ ( ^ [Y2: num] :
                      ( ^ [Y3: nat] :
                          ( ^ [Y4: nat,Y5: nat] :
                              ( nat2
                              @ ( plus_plus_int
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y4 )
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y5 ) ) )
                          @ Y3
                          @ one_one_nat )
                      @ ( pred_numeral @ Y2 ) )
                  @ ( bit0 @ one ) )
                @ Y1 ) )
          @ x
          @ ( ^ [Y0: nat,Y1: nat] :
                ( nat2
                @ ( divide_divide_int
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y0 )
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y1 ) ) )
            @ deg
            @ ( ^ [Y0: num] :
                  ( ^ [Y1: nat] :
                      ( ^ [Y2: nat,Y3: nat] :
                          ( nat2
                          @ ( plus_plus_int
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y2 )
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y3 ) ) )
                      @ Y1
                      @ one_one_nat )
                  @ ( pred_numeral @ Y0 ) )
              @ ( bit0 @ one ) ) ) ) ) )
    | ( $true
      = ( vEBT_VEBT_membermima
        @ ( nth_VEBT_VEBT @ treeList
          @ ( ^ [Y0: nat,Y1: nat] :
                ( ^ [Y2: nat,Y3: nat] :
                    ( nat2
                    @ ( divide_divide_int
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y2 )
                      @ ( ^ [Y4: nat] :
                            ( semiri8420488043553186161ux_int
                            @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                            @ Y4
                            @ zero_zero_int )
                        @ Y3 ) ) )
                @ Y0
                @ ( power_power_nat
                  @ ( ^ [Y2: num] :
                        ( ^ [Y3: nat] :
                            ( ^ [Y4: nat,Y5: nat] :
                                ( nat2
                                @ ( plus_plus_int
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y4 )
                                  @ ( ^ [Y6: nat] :
                                        ( semiri8420488043553186161ux_int
                                        @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                        @ Y6
                                        @ zero_zero_int )
                                    @ Y5 ) ) )
                            @ Y3
                            @ one_one_nat )
                        @ ( pred_numeral @ Y2 ) )
                    @ ( bit0 @ one ) )
                  @ Y1 ) )
            @ x
            @ ( ^ [Y0: nat,Y1: nat] :
                  ( nat2
                  @ ( divide_divide_int
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y0 )
                    @ ( ^ [Y2: nat] :
                          ( semiri8420488043553186161ux_int
                          @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                          @ Y2
                          @ zero_zero_int )
                      @ Y1 ) ) )
              @ deg
              @ ( ^ [Y0: num] :
                    ( ^ [Y1: nat] :
                        ( ^ [Y2: nat,Y3: nat] :
                            ( nat2
                            @ ( plus_plus_int
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y2 )
                              @ ( ^ [Y4: nat] :
                                    ( semiri8420488043553186161ux_int
                                    @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                    @ Y4
                                    @ zero_zero_int )
                                @ Y3 ) ) )
                        @ Y1
                        @ one_one_nat )
                    @ ( pred_numeral @ Y0 ) )
                @ ( bit0 @ one ) ) ) ) )
        @ ( ^ [Y0: nat,Y1: nat] :
              ( ^ [Y2: nat,Y3: nat] :
                  ( minus_minus_nat @ Y2
                  @ ( times_times_nat
                    @ ( ^ [Y4: nat,Y5: nat] :
                          ( nat2
                          @ ( divide_divide_int
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y4 )
                            @ ( ^ [Y6: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                  @ Y6
                                  @ zero_zero_int )
                              @ Y5 ) ) )
                      @ Y2
                      @ Y3 )
                    @ Y3 ) )
              @ Y0
              @ ( power_power_nat
                @ ( ^ [Y2: num] :
                      ( ^ [Y3: nat] :
                          ( ^ [Y4: nat,Y5: nat] :
                              ( nat2
                              @ ( plus_plus_int
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y4 )
                                @ ( ^ [Y6: nat] :
                                      ( semiri8420488043553186161ux_int
                                      @ ^ [Y7: int] : ( plus_plus_int @ Y7 @ one_one_int )
                                      @ Y6
                                      @ zero_zero_int )
                                  @ Y5 ) ) )
                          @ Y3
                          @ one_one_nat )
                      @ ( pred_numeral @ Y2 ) )
                  @ ( bit0 @ one ) )
                @ Y1 ) )
          @ x
          @ ( ^ [Y0: nat,Y1: nat] :
                ( nat2
                @ ( divide_divide_int
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y0 )
                  @ ( ^ [Y2: nat] :
                        ( semiri8420488043553186161ux_int
                        @ ^ [Y3: int] : ( plus_plus_int @ Y3 @ one_one_int )
                        @ Y2
                        @ zero_zero_int )
                    @ Y1 ) ) )
            @ deg
            @ ( ^ [Y0: num] :
                  ( ^ [Y1: nat] :
                      ( ^ [Y2: nat,Y3: nat] :
                          ( nat2
                          @ ( plus_plus_int
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y2 )
                            @ ( ^ [Y4: nat] :
                                  ( semiri8420488043553186161ux_int
                                  @ ^ [Y5: int] : ( plus_plus_int @ Y5 @ one_one_int )
                                  @ Y4
                                  @ zero_zero_int )
                              @ Y3 ) ) )
                      @ Y1
                      @ one_one_nat )
                  @ ( pred_numeral @ Y0 ) )
              @ ( bit0 @ one ) ) ) ) ) ) ),
    inference(definition_unfolding,[],[f30167,f42316,f42219,f42231,f42317,f42219,f42231,f42316,f42219,f42231,f42317,f42219,f42231]) ).

thf(f51425,plain,
    ( $true
   != ( ^ [Y0: vEBT_VEBT,Y1: nat] :
          ( ( vEBT_V5719532721284313246member @ Y0 @ Y1 )
          | ( vEBT_VEBT_membermima @ Y0 @ Y1 ) )
      @ ( vEBT_Node @ info @ deg @ treeList @ summary )
      @ x ) ),
    inference(definition_unfolding,[],[f42199,f30157]) ).

thf(f52020,plain,
    ( $true
   != ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      | ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x ) ) ),
    inference(beta-eta_normalization,[],[f51425]) ).

thf(f52021,plain,
    ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
    = $false ),
    inference(or_proxy_clausification,[],[f52020]) ).

thf(f52022,plain,
    ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
    = $false ),
    inference(or_proxy_clausification,[],[f52020]) ).

thf(f128397,plain,
    ( ( $true
      = ( vEBT_V5719532721284313246member
        @ ( nth_VEBT_VEBT @ treeList
          @ ( nat2
            @ ( divide_divide_int
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ x
                @ zero_zero_int )
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ ( power_power_nat
                  @ ( nat2
                    @ ( plus_plus_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( pred_numeral @ ( bit0 @ one ) )
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ one_one_nat
                        @ zero_zero_int ) ) )
                  @ ( nat2
                    @ ( divide_divide_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ deg
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( nat2
                          @ ( plus_plus_int
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ ( pred_numeral @ ( bit0 @ one ) )
                              @ zero_zero_int )
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ one_one_nat
                              @ zero_zero_int ) ) )
                        @ zero_zero_int ) ) ) )
                @ zero_zero_int ) ) ) )
        @ ( minus_minus_nat @ x
          @ ( times_times_nat
            @ ( nat2
              @ ( divide_divide_int
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ x
                  @ zero_zero_int )
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ ( power_power_nat
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ ( nat2
                      @ ( divide_divide_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ deg
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( nat2
                            @ ( plus_plus_int
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ ( pred_numeral @ ( bit0 @ one ) )
                                @ zero_zero_int )
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ one_one_nat
                                @ zero_zero_int ) ) )
                          @ zero_zero_int ) ) ) )
                  @ zero_zero_int ) ) )
            @ ( power_power_nat
              @ ( nat2
                @ ( plus_plus_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( pred_numeral @ ( bit0 @ one ) )
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ one_one_nat
                    @ zero_zero_int ) ) )
              @ ( nat2
                @ ( divide_divide_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ deg
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ zero_zero_int ) ) ) ) ) ) ) )
    | ( $true
      = ( vEBT_VEBT_membermima
        @ ( nth_VEBT_VEBT @ treeList
          @ ( nat2
            @ ( divide_divide_int
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ x
                @ zero_zero_int )
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ ( power_power_nat
                  @ ( nat2
                    @ ( plus_plus_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( pred_numeral @ ( bit0 @ one ) )
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ one_one_nat
                        @ zero_zero_int ) ) )
                  @ ( nat2
                    @ ( divide_divide_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ deg
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( nat2
                          @ ( plus_plus_int
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ ( pred_numeral @ ( bit0 @ one ) )
                              @ zero_zero_int )
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ one_one_nat
                              @ zero_zero_int ) ) )
                        @ zero_zero_int ) ) ) )
                @ zero_zero_int ) ) ) )
        @ ( minus_minus_nat @ x
          @ ( times_times_nat
            @ ( nat2
              @ ( divide_divide_int
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ x
                  @ zero_zero_int )
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ ( power_power_nat
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ ( nat2
                      @ ( divide_divide_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ deg
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( nat2
                            @ ( plus_plus_int
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ ( pred_numeral @ ( bit0 @ one ) )
                                @ zero_zero_int )
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ one_one_nat
                                @ zero_zero_int ) ) )
                          @ zero_zero_int ) ) ) )
                  @ zero_zero_int ) ) )
            @ ( power_power_nat
              @ ( nat2
                @ ( plus_plus_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( pred_numeral @ ( bit0 @ one ) )
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ one_one_nat
                    @ zero_zero_int ) ) )
              @ ( nat2
                @ ( divide_divide_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ deg
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ zero_zero_int ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f42364]) ).

thf(f128399,plain,
    ( ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( $true
     != ( vEBT_VEBT_membermima
        @ ( nth_VEBT_VEBT @ treeList
          @ ( nat2
            @ ( divide_divide_int
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ x
                @ zero_zero_int )
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ ( power_power_nat
                  @ ( nat2
                    @ ( plus_plus_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( pred_numeral @ ( bit0 @ one ) )
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ one_one_nat
                        @ zero_zero_int ) ) )
                  @ ( nat2
                    @ ( divide_divide_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ deg
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( nat2
                          @ ( plus_plus_int
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ ( pred_numeral @ ( bit0 @ one ) )
                              @ zero_zero_int )
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ one_one_nat
                              @ zero_zero_int ) ) )
                        @ zero_zero_int ) ) ) )
                @ zero_zero_int ) ) ) )
        @ ( minus_minus_nat @ x
          @ ( times_times_nat
            @ ( nat2
              @ ( divide_divide_int
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ x
                  @ zero_zero_int )
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ ( power_power_nat
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ ( nat2
                      @ ( divide_divide_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ deg
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( nat2
                            @ ( plus_plus_int
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ ( pred_numeral @ ( bit0 @ one ) )
                                @ zero_zero_int )
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ one_one_nat
                                @ zero_zero_int ) ) )
                          @ zero_zero_int ) ) ) )
                  @ zero_zero_int ) ) )
            @ ( power_power_nat
              @ ( nat2
                @ ( plus_plus_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( pred_numeral @ ( bit0 @ one ) )
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ one_one_nat
                    @ zero_zero_int ) ) )
              @ ( nat2
                @ ( divide_divide_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ deg
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ zero_zero_int ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f42362]) ).

thf(f128400,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ( $true
     != ( vEBT_V5719532721284313246member
        @ ( nth_VEBT_VEBT @ treeList
          @ ( nat2
            @ ( divide_divide_int
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ x
                @ zero_zero_int )
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ ( power_power_nat
                  @ ( nat2
                    @ ( plus_plus_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( pred_numeral @ ( bit0 @ one ) )
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ one_one_nat
                        @ zero_zero_int ) ) )
                  @ ( nat2
                    @ ( divide_divide_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ deg
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( nat2
                          @ ( plus_plus_int
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ ( pred_numeral @ ( bit0 @ one ) )
                              @ zero_zero_int )
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ one_one_nat
                              @ zero_zero_int ) ) )
                        @ zero_zero_int ) ) ) )
                @ zero_zero_int ) ) ) )
        @ ( minus_minus_nat @ x
          @ ( times_times_nat
            @ ( nat2
              @ ( divide_divide_int
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ x
                  @ zero_zero_int )
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ ( power_power_nat
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ ( nat2
                      @ ( divide_divide_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ deg
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( nat2
                            @ ( plus_plus_int
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ ( pred_numeral @ ( bit0 @ one ) )
                                @ zero_zero_int )
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ one_one_nat
                                @ zero_zero_int ) ) )
                          @ zero_zero_int ) ) ) )
                  @ zero_zero_int ) ) )
            @ ( power_power_nat
              @ ( nat2
                @ ( plus_plus_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( pred_numeral @ ( bit0 @ one ) )
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ one_one_nat
                    @ zero_zero_int ) ) )
              @ ( nat2
                @ ( divide_divide_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ deg
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ zero_zero_int ) ) ) ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f42361]) ).

thf(f128888,definition,
    ( spl3813_97
  <=> ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl3813_97])],[avatar_definition]) ).

thf(f128890,plain,
    ( ( ( vEBT_V5719532721284313246member @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ~ spl3813_97 ),
    inference(avatar_component_clause,[],[f128888]) ).

thf(f128896,definition,
    ( spl3813_99
  <=> ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl3813_99])],[avatar_definition]) ).

thf(f128898,plain,
    ( ( ( vEBT_VEBT_membermima @ ( vEBT_Node @ info @ deg @ treeList @ summary ) @ x )
      = $true )
    | ~ spl3813_99 ),
    inference(avatar_component_clause,[],[f128896]) ).

thf(f128901,definition,
    ( spl3813_100
  <=> ( $true
      = ( vEBT_V5719532721284313246member
        @ ( nth_VEBT_VEBT @ treeList
          @ ( nat2
            @ ( divide_divide_int
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ x
                @ zero_zero_int )
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ ( power_power_nat
                  @ ( nat2
                    @ ( plus_plus_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( pred_numeral @ ( bit0 @ one ) )
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ one_one_nat
                        @ zero_zero_int ) ) )
                  @ ( nat2
                    @ ( divide_divide_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ deg
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( nat2
                          @ ( plus_plus_int
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ ( pred_numeral @ ( bit0 @ one ) )
                              @ zero_zero_int )
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ one_one_nat
                              @ zero_zero_int ) ) )
                        @ zero_zero_int ) ) ) )
                @ zero_zero_int ) ) ) )
        @ ( minus_minus_nat @ x
          @ ( times_times_nat
            @ ( nat2
              @ ( divide_divide_int
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ x
                  @ zero_zero_int )
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ ( power_power_nat
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ ( nat2
                      @ ( divide_divide_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ deg
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( nat2
                            @ ( plus_plus_int
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ ( pred_numeral @ ( bit0 @ one ) )
                                @ zero_zero_int )
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ one_one_nat
                                @ zero_zero_int ) ) )
                          @ zero_zero_int ) ) ) )
                  @ zero_zero_int ) ) )
            @ ( power_power_nat
              @ ( nat2
                @ ( plus_plus_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( pred_numeral @ ( bit0 @ one ) )
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ one_one_nat
                    @ zero_zero_int ) ) )
              @ ( nat2
                @ ( divide_divide_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ deg
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ zero_zero_int ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl3813_100])],[avatar_definition]) ).

thf(f128905,definition,
    ( spl3813_101
  <=> ( $true
      = ( vEBT_VEBT_membermima
        @ ( nth_VEBT_VEBT @ treeList
          @ ( nat2
            @ ( divide_divide_int
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ x
                @ zero_zero_int )
              @ ( semiri8420488043553186161ux_int
                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                @ ( power_power_nat
                  @ ( nat2
                    @ ( plus_plus_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( pred_numeral @ ( bit0 @ one ) )
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ one_one_nat
                        @ zero_zero_int ) ) )
                  @ ( nat2
                    @ ( divide_divide_int
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ deg
                        @ zero_zero_int )
                      @ ( semiri8420488043553186161ux_int
                        @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                        @ ( nat2
                          @ ( plus_plus_int
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ ( pred_numeral @ ( bit0 @ one ) )
                              @ zero_zero_int )
                            @ ( semiri8420488043553186161ux_int
                              @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                              @ one_one_nat
                              @ zero_zero_int ) ) )
                        @ zero_zero_int ) ) ) )
                @ zero_zero_int ) ) ) )
        @ ( minus_minus_nat @ x
          @ ( times_times_nat
            @ ( nat2
              @ ( divide_divide_int
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ x
                  @ zero_zero_int )
                @ ( semiri8420488043553186161ux_int
                  @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                  @ ( power_power_nat
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ ( nat2
                      @ ( divide_divide_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ deg
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( nat2
                            @ ( plus_plus_int
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ ( pred_numeral @ ( bit0 @ one ) )
                                @ zero_zero_int )
                              @ ( semiri8420488043553186161ux_int
                                @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                                @ one_one_nat
                                @ zero_zero_int ) ) )
                          @ zero_zero_int ) ) ) )
                  @ zero_zero_int ) ) )
            @ ( power_power_nat
              @ ( nat2
                @ ( plus_plus_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( pred_numeral @ ( bit0 @ one ) )
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ one_one_nat
                    @ zero_zero_int ) ) )
              @ ( nat2
                @ ( divide_divide_int
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ deg
                    @ zero_zero_int )
                  @ ( semiri8420488043553186161ux_int
                    @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                    @ ( nat2
                      @ ( plus_plus_int
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ ( pred_numeral @ ( bit0 @ one ) )
                          @ zero_zero_int )
                        @ ( semiri8420488043553186161ux_int
                          @ ^ [Y0: int] : ( plus_plus_int @ Y0 @ one_one_int )
                          @ one_one_nat
                          @ zero_zero_int ) ) )
                    @ zero_zero_int ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl3813_101])],[avatar_definition]) ).

thf(f128909,plain,
    ( spl3813_101
    | spl3813_100 ),
    inference(avatar_split_clause,[],[f128397,f128901,f128905]) ).

thf(f128910,plain,
    ( ~ spl3813_101
    | spl3813_99 ),
    inference(avatar_split_clause,[],[f128399,f128896,f128905]) ).

thf(f128911,plain,
    ( ~ spl3813_100
    | spl3813_97 ),
    inference(avatar_split_clause,[],[f128400,f128888,f128901]) ).

thf(f189885,plain,
    ( ( $true = $false )
    | ~ spl3813_97 ),
    inference(forward_demodulation,[],[f128890,f52022]) ).

thf(f189886,plain,
    ( $false
    | ~ spl3813_97 ),
    inference(trivial_inequality_removal,[],[f189885]) ).

thf(f189887,plain,
    ~ spl3813_97,
    inference(avatar_contradiction_clause,[],[f189886]) ).

thf(f189889,plain,
    ( ( $true = $false )
    | ~ spl3813_99 ),
    inference(forward_demodulation,[],[f128898,f52021]) ).

thf(f189890,plain,
    ( $false
    | ~ spl3813_99 ),
    inference(trivial_inequality_removal,[],[f189889]) ).

thf(f189891,plain,
    ~ spl3813_99,
    inference(avatar_contradiction_clause,[],[f189890]) ).

cnf(s131,plain,
    ( spl3813_100
    | spl3813_101 ),
    inference(sat_conversion,[],[f128909]) ).

cnf(s132,plain,
    ( spl3813_99
    | ~ spl3813_101 ),
    inference(sat_conversion,[],[f128910]) ).

cnf(s133,plain,
    ( spl3813_97
    | ~ spl3813_100 ),
    inference(sat_conversion,[],[f128911]) ).

cnf(s1121,plain,
    ~ spl3813_97,
    inference(sat_conversion,[],[f189887]) ).

cnf(s1122,plain,
    ~ spl3813_99,
    inference(sat_conversion,[],[f189891]) ).

cnf(s1239,plain,
    ~ spl3813_100,
    inference(rat,[],[s133,s1121]) ).

cnf(s1240,plain,
    ~ spl3813_101,
    inference(rat,[],[s132,s1122]) ).

cnf(s1241,plain,
    $false,
    inference(rat,[],[s131,s1240,s1239]) ).

thf(f189894,plain,
    $false,
    inference(avatar_sat_refutation,[],[s1241]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ITP221^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n003.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Tue Sep 29 20:21:29 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.24  Running first-order model finding
% 0.10/0.24  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
% 20.22/3.65  % (3007298)Will run a generic schedule for satisfiability detection.
% 20.22/3.65  % (3007310)% WARNING: option uhcvi not known.
% 20.22/3.65  % (3007310)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1468418523:i=135531:add=off:rawr=on_2994 on theBenchmark for (2994ds/135531Mi)
% 20.22/3.65  % (3007309)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1117284479_2994 on theBenchmark for (2994ds/0Mi)
% 20.22/3.65  % (3007311)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1296794969:i=88024:add=on:rawr=on_2994 on theBenchmark for (2994ds/88024Mi)
% 20.22/3.65  % (3007312)dis+10_1_sil=32000:sp=arity:random_seed=2507651320:i=103:fgj=on_2994 on theBenchmark for (2994ds/103Mi)
% 20.22/3.65  % (3007313)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3176696167:i=116_2994 on theBenchmark for (2994ds/116Mi)
% 20.22/3.65  % (3007314)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=587544630:i=131_2994 on theBenchmark for (2994ds/131Mi)
% 20.22/3.65  % (3007315)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4065048257:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2994 on theBenchmark for (2994ds/159Mi)
% 20.22/3.65  % (3007312)Instruction limit reached! 
% 20.22/3.65  % (3007312)------------------------------
% 20.22/3.65  % (3007312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.65  % (3007312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.65  % (3007312)CaDiCaL version: 2.1.3
% 20.22/3.65  % (3007312)Termination reason: Instruction limit
% 20.22/3.65  % (3007312)Termination phase: Initialization
% 20.22/3.65  % (3007312)Time elapsed: 0.042 s
% 20.22/3.65  % (3007312)Peak memory usage: 25 MB
% 20.22/3.65  % (3007312)Instructions burned: 103 (million)
% 20.22/3.65  % (3007313)Instruction limit reached! 
% 20.22/3.65  % (3007313)------------------------------
% 20.22/3.65  % (3007313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.65  % (3007313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.65  % (3007313)CaDiCaL version: 2.1.3
% 20.22/3.65  % (3007313)Termination reason: Instruction limit
% 20.22/3.65  % (3007313)Termination phase: Initialization
% 20.22/3.65  % (3007313)Time elapsed: 0.048 s
% 20.22/3.65  % (3007313)Peak memory usage: 25 MB
% 20.22/3.65  % (3007313)Instructions burned: 116 (million)
% 20.22/3.65  % (3007314)Instruction limit reached! 
% 20.22/3.65  % (3007314)------------------------------
% 20.22/3.65  % (3007314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.65  % (3007314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.65  % (3007314)CaDiCaL version: 2.1.3
% 20.22/3.65  % (3007314)Termination reason: Instruction limit
% 20.22/3.65  % (3007314)Termination phase: Initialization
% 20.22/3.65  % (3007314)Time elapsed: 0.055 s
% 20.22/3.65  % (3007314)Peak memory usage: 25 MB
% 20.22/3.65  % (3007314)Instructions burned: 132 (million)
% 20.22/3.65  % (3007323)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=429127035:i=714:nm=2_2993 on theBenchmark for (2993ds/714Mi)
% 20.22/3.65  % (3007315)Instruction limit reached! 
% 20.22/3.65  % (3007315)------------------------------
% 20.22/3.65  % (3007315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.65  % (3007315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.65  % (3007315)CaDiCaL version: 2.1.3
% 20.22/3.65  % (3007315)Termination reason: Instruction limit
% 20.22/3.65  % (3007315)Termination phase: Initialization
% 20.22/3.65  % (3007315)Time elapsed: 0.066 s
% 20.22/3.65  % (3007315)Peak memory usage: 26 MB
% 20.22/3.65  % (3007315)Instructions burned: 161 (million)
% 20.22/3.65  % (3007324)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1663779736:i=131:bd=preordered:fsd=on_2993 on theBenchmark for (2993ds/131Mi)
% 20.22/3.65  % (3007325)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=290821518:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2993 on theBenchmark for (2993ds/684Mi)
% 20.22/3.65  % (3007327)ott-21_1_sil=16000:fs=off:random_seed=3712349748:i=180:av=off:fsr=off_2993 on theBenchmark for (2993ds/180Mi)
% 20.22/3.65  % (3007324)Instruction limit reached! 
% 20.22/3.65  % (3007324)------------------------------
% 20.22/3.65  % (3007324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.65  % (3007324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.91/6.06  % (3007324)CaDiCaL version: 2.1.3
% 36.91/6.06  % (3007324)Termination reason: Instruction limit
% 36.91/6.06  % (3007324)Termination phase: Initialization
% 36.91/6.06  % (3007324)Time elapsed: 0.055 s
% 36.91/6.06  % (3007324)Peak memory usage: 25 MB
% 36.91/6.06  % (3007324)Instructions burned: 132 (million)
% 36.91/6.06  % (3007331)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=132987985:i=477:bd=all_2992 on theBenchmark for (2992ds/477Mi)
% 36.91/6.06  % (3007327)Instruction limit reached! 
% 36.91/6.06  % (3007327)------------------------------
% 36.91/6.06  % (3007327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.91/6.06  % (3007327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.91/6.06  % (3007327)CaDiCaL version: 2.1.3
% 36.91/6.06  % (3007327)Termination reason: Instruction limit
% 36.91/6.06  % (3007327)Termination phase: Initialization
% 36.91/6.06  % (3007327)Time elapsed: 0.076 s
% 36.91/6.06  % (3007327)Peak memory usage: 27 MB
% 36.91/6.06  % (3007327)Instructions burned: 182 (million)
% 36.91/6.06  % (3007333)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2131283099:fmbsr=1.3:i=865:ins=25_2992 on theBenchmark for (2992ds/865Mi)
% 36.91/6.06  % (3007331)Instruction limit reached! 
% 36.91/6.06  % (3007331)------------------------------
% 36.91/6.06  % (3007331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.91/6.06  % (3007331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.91/6.06  % (3007331)CaDiCaL version: 2.1.3
% 36.91/6.06  % (3007331)Termination reason: Instruction limit
% 36.91/6.06  % (3007331)Termination phase: Initialization
% 36.91/6.06  % (3007331)Time elapsed: 0.198 s
% 36.91/6.06  % (3007331)Peak memory usage: 30 MB
% 36.91/6.06  % (3007331)Instructions burned: 479 (million)
% 36.91/6.06  % (3007323)Instruction limit reached! 
% 36.91/6.06  % (3007323)------------------------------
% 36.91/6.06  % (3007323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.91/6.06  % (3007323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.91/6.06  % (3007323)CaDiCaL version: 2.1.3
% 36.91/6.06  % (3007323)Termination reason: Instruction limit
% 36.91/6.06  % (3007323)Termination phase: Property scanning
% 36.91/6.06  % (3007323)Time elapsed: 0.294 s
% 36.91/6.06  % (3007323)Peak memory usage: 31 MB
% 36.91/6.06  % (3007323)Instructions burned: 716 (million)
% 36.91/6.06  % (3007335)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=170202730:i=1179_2990 on theBenchmark for (2990ds/1179Mi)
% 36.91/6.06  % (3007325)Instruction limit reached! 
% 36.91/6.06  % (3007325)------------------------------
% 36.91/6.06  % (3007325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.91/6.06  % (3007325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.91/6.06  % (3007325)CaDiCaL version: 2.1.3
% 36.91/6.06  % (3007325)Termination reason: Instruction limit
% 36.91/6.06  % (3007325)Termination phase: Property scanning
% 36.91/6.06  % (3007325)Time elapsed: 0.295 s
% 36.91/6.06  % (3007325)Peak memory usage: 32 MB
% 36.91/6.06  % (3007325)Instructions burned: 685 (million)
% 36.91/6.06  % (3007336)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=36778923:i=889:ins=1_2990 on theBenchmark for (2990ds/889Mi)
% 36.91/6.06  % (3007338)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=38244226:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 36.91/6.06  % (3007310)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 36.91/6.06  % (3007333)Instruction limit reached! 
% 36.91/6.06  % (3007333)------------------------------
% 36.91/6.06  % (3007333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.91/6.06  % (3007333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.91/6.06  % (3007333)CaDiCaL version: 2.1.3
% 36.91/6.06  % (3007333)Termination reason: Instruction limit
% 36.91/6.06  % (3007333)Termination phase: Property scanning
% 36.91/6.06  % (3007333)Time elapsed: 0.351 s
% 36.91/6.06  % (3007333)Peak memory usage: 32 MB
% 36.91/6.06  % (3007333)Instructions burned: 865 (million)
% 36.91/6.06  % (3007341)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3981786841:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 36.91/6.06  % (3007338)Instruction limit reached! 
% 36.91/6.06  % (3007338)------------------------------
% 36.91/6.06  % (3007338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.67/9.94  % (3007338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.67/9.94  % (3007338)CaDiCaL version: 2.1.3
% 63.67/9.94  % (3007338)Termination reason: Instruction limit
% 63.67/9.94  % (3007338)Termination phase: Property scanning
% 63.67/9.94  % (3007338)Time elapsed: 0.286 s
% 63.67/9.94  % (3007338)Peak memory usage: 31 MB
% 63.67/9.94  % (3007338)Instructions burned: 694 (million)
% 63.67/9.94  % (3007343)fmb+10_1_sil=64000:random_seed=769424301:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 63.67/9.94  % (3007336)Instruction limit reached! 
% 63.67/9.94  % (3007336)------------------------------
% 63.67/9.94  % (3007336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.67/9.94  % (3007336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.67/9.94  % (3007336)CaDiCaL version: 2.1.3
% 63.67/9.94  % (3007336)Termination reason: Instruction limit
% 63.67/9.94  % (3007336)Termination phase: Property scanning
% 63.67/9.94  % (3007336)Time elapsed: 0.358 s
% 63.67/9.94  % (3007336)Peak memory usage: 31 MB
% 63.67/9.94  % (3007336)Instructions burned: 889 (million)
% 63.67/9.94  % (3007345)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2331136517:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 63.67/9.94  % (3007335)Instruction limit reached! 
% 63.67/9.94  % (3007335)------------------------------
% 63.67/9.94  % (3007335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.67/9.94  % (3007335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.67/9.94  % (3007335)CaDiCaL version: 2.1.3
% 63.67/9.94  % (3007335)Termination reason: Instruction limit
% 63.67/9.94  % (3007335)Termination phase: Preprocessing 1
% 63.67/9.94  % (3007335)Time elapsed: 0.482 s
% 63.67/9.94  % (3007335)Peak memory usage: 31 MB
% 63.67/9.94  % (3007335)Instructions burned: 1181 (million)
% 63.67/9.94  % (3007347)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1840305982:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 63.67/9.94  % (3007341)Instruction limit reached! 
% 63.67/9.94  % (3007341)------------------------------
% 63.67/9.94  % (3007341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.67/9.94  % (3007341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.67/9.94  % (3007341)CaDiCaL version: 2.1.3
% 63.67/9.94  % (3007341)Termination reason: Instruction limit
% 63.67/9.94  % (3007341)Termination phase: Property scanning
% 63.67/9.94  % (3007341)Time elapsed: 0.355 s
% 63.67/9.94  % (3007341)Peak memory usage: 31 MB
% 63.67/9.94  % (3007341)Instructions burned: 879 (million)
% 63.67/9.94  % (3007349)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1151051211:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 63.67/9.94  % (3007347)Instruction limit reached! 
% 63.67/9.94  % (3007347)------------------------------
% 63.67/9.94  % (3007347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.67/9.94  % (3007347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.67/9.94  % (3007347)CaDiCaL version: 2.1.3
% 63.67/9.94  % (3007347)Termination reason: Instruction limit
% 63.67/9.94  % (3007347)Termination phase: Property scanning
% 63.67/9.94  % (3007347)Time elapsed: 0.375 s
% 63.67/9.94  % (3007347)Peak memory usage: 31 MB
% 63.67/9.94  % (3007347)Instructions burned: 921 (million)
% 63.67/9.94  % (3007351)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=958643168:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 63.67/9.94  % (3007349)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 63.67/9.94  % (3007343)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 63.67/9.94  % (3007351)Instruction limit reached! 
% 63.67/9.94  % (3007351)------------------------------
% 63.67/9.94  % (3007351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.67/9.94  % (3007351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.67/9.94  % (3007351)CaDiCaL version: 2.1.3
% 63.67/9.94  % (3007351)Termination reason: Instruction limit
% 63.67/9.94  % (3007351)Termination phase: Preprocessing 3
% 63.67/9.94  % (3007351)Time elapsed: 0.624 s
% 63.67/9.94  % (3007351)Peak memory usage: 37 MB
% 63.67/9.94  % (3007351)Instructions burned: 1473 (million)
% 63.67/9.94  % (3007355)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1745777908:i=6324_2975 on theBenchmark for (2975ds/6324Mi)
% 63.67/9.94  % (3007310)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007361)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1015690614:fmbsr=2.30978:i=2174_2965 on theBenchmark for (2965ds/2174Mi)
% 64.04/15.96  % (3007349)Instruction limit reached! 
% 64.04/15.96  % (3007349)------------------------------
% 64.04/15.96  % (3007349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007349)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007349)Termination reason: Instruction limit
% 64.04/15.96  % (3007349)Termination phase: Property scanning
% 64.04/15.96  % (3007349)Time elapsed: 2.045 s
% 64.04/15.96  % (3007349)Peak memory usage: 45 MB
% 64.04/15.96  % (3007349)Instructions burned: 5133 (million)
% 64.04/15.96  % (3007363)ott-2_1_sil=16000:newcnf=on:random_seed=738612719:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2964 on theBenchmark for (2964ds/869Mi)
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007366)ott+10_1_sil=32000:tgt=ground:random_seed=1989212777:i=5114:av=off_2960 on theBenchmark for (2960ds/5114Mi)
% 64.04/15.96  % (3007361)Instruction limit reached! 
% 64.04/15.96  % (3007361)------------------------------
% 64.04/15.96  % (3007361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007361)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007361)Termination reason: Instruction limit
% 64.04/15.96  % (3007361)Termination phase: Function definition elimination
% 64.04/15.96  % (3007361)Time elapsed: 0.600 s
% 64.04/15.96  % (3007361)Peak memory usage: 39 MB
% 64.04/15.96  % (3007361)Instructions burned: 2177 (million)
% 64.04/15.96  % (3007368)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1780119957:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 64.04/15.96  % (3007363)Instruction limit reached! 
% 64.04/15.96  % (3007363)------------------------------
% 64.04/15.96  % (3007363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007363)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007363)Termination reason: Instruction limit
% 64.04/15.96  % (3007363)Termination phase: Property scanning
% 64.04/15.96  % (3007363)Time elapsed: 0.598 s
% 64.04/15.96  % (3007363)Peak memory usage: 31 MB
% 64.04/15.96  % (3007363)Instructions burned: 870 (million)
% 64.04/15.96  % (3007370)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2073869878:i=3512:aac=none_2957 on theBenchmark for (2957ds/3512Mi)
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007373)dis+21_1_sil=32000:sas=cadical:random_seed=792615965:i=3773:amm=off_2955 on theBenchmark for (2955ds/3773Mi)
% 64.04/15.96  % (3007355)Instruction limit reached! 
% 64.04/15.96  % (3007355)------------------------------
% 64.04/15.96  % (3007355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007355)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007355)Termination reason: Instruction limit
% 64.04/15.96  % (3007355)Termination phase: Property scanning
% 64.04/15.96  % (3007355)Time elapsed: 2.934 s
% 64.04/15.96  % (3007355)Peak memory usage: 45 MB
% 64.04/15.96  % (3007355)Instructions burned: 6324 (million)
% 64.04/15.96  % (3007375)ott+11_1_sil=16000:gs=on:random_seed=1682243274:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2945 on theBenchmark for (2945ds/2251Mi)
% 64.04/15.96  % (3007370)Instruction limit reached! 
% 64.04/15.96  % (3007370)------------------------------
% 64.04/15.96  % (3007370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007370)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007370)Termination reason: Instruction limit
% 64.04/15.96  % (3007370)Termination phase: Property scanning
% 64.04/15.96  % (3007370)Time elapsed: 1.533 s
% 64.04/15.96  % (3007370)Peak memory usage: 45 MB
% 64.04/15.96  % (3007370)Instructions burned: 3514 (million)
% 64.04/15.96  % (3007377)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1482908718:fmbsr=1.6:i=67534_2942 on theBenchmark for (2942ds/67534Mi)
% 64.04/15.96  % (3007373)Instruction limit reached! 
% 64.04/15.96  % (3007373)------------------------------
% 64.04/15.96  % (3007373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007373)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007373)Termination reason: Instruction limit
% 64.04/15.96  % (3007373)Termination phase: Property scanning
% 64.04/15.96  % (3007373)Time elapsed: 1.537 s
% 64.04/15.96  % (3007373)Peak memory usage: 45 MB
% 64.04/15.96  % (3007373)Instructions burned: 3774 (million)
% 64.04/15.96  % (3007379)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3007631477:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2940 on theBenchmark for (2940ds/4591Mi)
% 64.04/15.96  % (3007375)Instruction limit reached! 
% 64.04/15.96  % (3007375)------------------------------
% 64.04/15.96  % (3007375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007375)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007375)Termination reason: Instruction limit
% 64.04/15.96  % (3007375)Termination phase: Property scanning
% 64.04/15.96  % (3007375)Time elapsed: 1.165 s
% 64.04/15.96  % (3007375)Peak memory usage: 40 MB
% 64.04/15.96  % (3007375)Instructions burned: 2253 (million)
% 64.04/15.96  % (3007381)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=441798308:i=29340_2933 on theBenchmark for (2933ds/29340Mi)
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007383)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1844736030:i=5211_2931 on theBenchmark for (2931ds/5211Mi)
% 64.04/15.96  % (3007366)Instruction limit reached! 
% 64.04/15.96  % (3007366)------------------------------
% 64.04/15.96  % (3007366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007366)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007366)Termination reason: Instruction limit
% 64.04/15.96  % (3007366)Termination phase: Property scanning
% 64.04/15.96  % (3007366)Time elapsed: 3.452 s
% 64.04/15.96  % (3007366)Peak memory usage: 45 MB
% 64.04/15.96  % (3007366)Instructions burned: 5114 (million)
% 64.04/15.96  % (3007385)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1270264273:i=5497:nm=2_2925 on theBenchmark for (2925ds/5497Mi)
% 64.04/15.96  % (3007379)Instruction limit reached! 
% 64.04/15.96  % (3007379)------------------------------
% 64.04/15.96  % (3007379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007379)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007379)Termination reason: Instruction limit
% 64.04/15.96  % (3007379)Termination phase: Property scanning
% 64.04/15.96  % (3007379)Time elapsed: 1.828 s
% 64.04/15.96  % (3007379)Peak memory usage: 45 MB
% 64.04/15.96  % (3007379)Instructions burned: 4594 (million)
% 64.04/15.96  % (3007387)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1639594472:fmbsr=2:i=46332_2921 on theBenchmark for (2921ds/46332Mi)
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007389)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=330684424:i=14071_2915 on theBenchmark for (2915ds/14071Mi)
% 64.04/15.96  % (3007385)Instruction limit reached! 
% 64.04/15.96  % (3007385)------------------------------
% 64.04/15.96  % (3007385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007385)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007385)Termination reason: Instruction limit
% 64.04/15.96  % (3007385)Termination phase: Property scanning
% 64.04/15.96  % (3007385)Time elapsed: 2.219 s
% 64.04/15.96  % (3007385)Peak memory usage: 46 MB
% 64.04/15.96  % (3007385)Instructions burned: 5499 (million)
% 64.04/15.96  % (3007391)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=533202875:i=22565:add=on:rawr=on_2903 on theBenchmark for (2903ds/22565Mi)
% 64.04/15.96  % (3007383)Instruction limit reached! 
% 64.04/15.96  % (3007383)------------------------------
% 64.04/15.96  % (3007383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007383)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007383)Termination reason: Instruction limit
% 64.04/15.96  % (3007383)Termination phase: Property scanning
% 64.04/15.96  % (3007383)Time elapsed: 3.075 s
% 64.04/15.96  % (3007383)Peak memory usage: 45 MB
% 64.04/15.96  % (3007383)Instructions burned: 5211 (million)
% 64.04/15.96  % (3007393)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3279159250:i=8173:av=off_2900 on theBenchmark for (2900ds/8173Mi)
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007395)dis+10_16:1_sil=16000:random_seed=2105925823:i=9155:fsr=off_2893 on theBenchmark for (2893ds/9155Mi)
% 64.04/15.96  % Exception at run slice level
% 64.04/15.96  User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 64.04/15.96  % (3007397)ott-3_8_sil=64000:random_seed=2944064805:i=20139:bs=on_2888 on theBenchmark for (2888ds/20139Mi)
% 64.04/15.96  % (3007393)Instruction limit reached! 
% 64.04/15.96  % (3007393)------------------------------
% 64.04/15.96  % (3007393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.96  % (3007393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.96  % (3007393)CaDiCaL version: 2.1.3
% 64.04/15.96  % (3007393)Termination reason: Instruction limit
% 64.04/15.96  % (3007393)Termination phase: Saturation
% 64.04/15.96  % (3007393)Time elapsed: 3.551 s
% 64.04/15.96  % (3007393)Peak memory usage: 53 MB
% 64.04/15.96  % (3007393)Instructions burned: 8174 (million)
% 64.04/15.96  % (3007399)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=1497645034:fmbsr=2:i=32576_2864 on theBenchmark for (2864ds/32576Mi)
% 64.04/15.96  % (3007310) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3007298-3007310"...
% 64.04/15.96  % (3007310)...printing done.
% 64.04/15.96  % (3007310)Refutation found. Thanks to Tanya!
% 64.04/15.96  % SZS status Theorem for theBenchmark
% 64.04/15.96  % SZS output start Proof for theBenchmark
% See solution above
% 64.04/15.98  % (3007310)------------------------------
% 64.04/15.98  % (3007310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.04/15.98  % (3007310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.04/15.98  % (3007310)CaDiCaL version: 2.1.3
% 64.04/15.98  % (3007310)Termination reason: Refutation
% 64.04/15.98  % (3007310)Time elapsed: 15.009 s
% 64.04/15.98  % (3007310)Peak memory usage: 113 MB
% 64.04/15.98  % (3007310)Instructions burned: 26524 (million)
% 64.04/15.98  % (3007298)Success in time 15.709 s
% 64.04/15.98  % Vampire exiting
%------------------------------------------------------------------------------