Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP235_1 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:31:06 AM UTC 2026

% Result   : Theorem 22.41s 8.57s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  180 (  98 unt;   0 typ;  11 def)
%            Number of atoms       :  364 (  82 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  336 ( 152   ~; 160   |;   7   &)
%                                         (   7 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :  268 ( 267 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  381 ( 379 usr;   5 prp; 0-6 aty)
%            Number of functors    : 3839 (3839 usr; 490 con; 0-8 aty)
%            Number of variables   :  202 (   0 sgn 200   !;   2   ?; 202   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_se3560235952666129655at_nat: $tType ).

tff(type_def_6,type,
    fun_Pr5442483421567724333t_bool: $tType ).

tff(type_def_7,type,
    fun_fu8778301040783821591l_bool: $tType ).

tff(type_def_8,type,
    fun_Pr817965127378462947t_bool: $tType ).

tff(type_def_9,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_10,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_11,type,
    fun_li8232715659020003717t_bool: $tType ).

tff(type_def_12,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_13,type,
    fun_fu813382667476268716l_bool: $tType ).

tff(type_def_14,type,
    fun_se320340636488258563at_nat: $tType ).

tff(type_def_15,type,
    fun_Co3025358997185726883r_bool: $tType ).

tff(type_def_16,type,
    fun_Pr248683899324676269t_bool: $tType ).

tff(type_def_17,type,
    fun_Pr3099820731930151597t_bool: $tType ).

tff(type_def_18,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_19,type,
    fun_na4786964484885125043t_bool: $tType ).

tff(type_def_20,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_21,type,
    fun_fi7557781610047541018er_nat: $tType ).

tff(type_def_22,type,
    fun_fu8303687057036190147t_bool: $tType ).

tff(type_def_23,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_24,type,
    fun_fu7495562154832025027t_bool: $tType ).

tff(type_def_25,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_26,type,
    fun_fu739766798173130341t_bool: $tType ).

tff(type_def_27,type,
    fun_Co7333321365496032713r_bool: $tType ).

tff(type_def_28,type,
    fun_fu5827305053654988013l_bool: $tType ).

tff(type_def_29,type,
    fun_fu7925731147167280621l_bool: $tType ).

tff(type_def_30,type,
    fun_VE7346385682144900493T_bool: $tType ).

tff(type_def_31,type,
    fun_se3394281818192328589t_bool: $tType ).

tff(type_def_32,type,
    fun_fu2636726645394866687t_bool: $tType ).

tff(type_def_33,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_34,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_35,type,
    fun_se1909708154429037836et_nat: $tType ).

tff(type_def_36,type,
    fun_se6573205548028396576et_int: $tType ).

tff(type_def_37,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_38,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_39,type,
    list_P5578671422887162913nteger: $tType ).

tff(type_def_40,type,
    fun_Pr5932607294251420486t_bool: $tType ).

tff(type_def_41,type,
    fun_Pr3145601080792579042t_bool: $tType ).

tff(type_def_42,type,
    fun_na4827981024643048934t_bool: $tType ).

tff(type_def_43,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_44,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_45,type,
    set_Pr4811707699266497531nteger: $tType ).

tff(type_def_46,type,
    fun_fu5204410621998794179x_bool: $tType ).

tff(type_def_47,type,
    fun_VE491066615515474744t_bool: $tType ).

tff(type_def_48,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_49,type,
    fun_Pr8073036449086768093x_bool: $tType ).

tff(type_def_50,type,
    fun_VE5877677516038742509T_bool: $tType ).

tff(type_def_51,type,
    fun_se707272970763642173t_bool: $tType ).

tff(type_def_52,type,
    fun_Co8310303586393106575r_bool: $tType ).

tff(type_def_53,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_54,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_55,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_56,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_57,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_58,type,
    list_P44034876932920720T_bool: $tType ).

tff(type_def_59,type,
    fun_fu5874800227564645059l_bool: $tType ).

tff(type_def_60,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_61,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_62,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_63,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_64,type,
    list_P7524865323317820941T_VEBT: $tType ).

tff(type_def_65,type,
    list_P8603913368774139775r_bool: $tType ).

tff(type_def_66,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_67,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_68,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_69,type,
    set_Pr9123050470547338789r_bool: $tType ).

tff(type_def_70,type,
    fun_fu990398353789569848l_bool: $tType ).

tff(type_def_71,type,
    fun_Ex6990506909712494598t_bool: $tType ).

tff(type_def_72,type,
    fun_Ex8598408993869023341t_bool: $tType ).

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

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

tff(type_def_75,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_76,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_77,type,
    fun_fu3889889255038636099t_bool: $tType ).

tff(type_def_78,type,
    fun_fu7822069302422884163t_bool: $tType ).

tff(type_def_79,type,
    fun_na3408937105440547634t_bool: $tType ).

tff(type_def_80,type,
    fun_in6148020733644367646t_bool: $tType ).

tff(type_def_81,type,
    produc7272778201969148633d_enat: $tType ).

tff(type_def_82,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_83,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_84,type,
    fun_Pr9030630356418945121l_bool: $tType ).

tff(type_def_85,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_86,type,
    fun_Pr7757163693017731481t_bool: $tType ).

tff(type_def_87,type,
    fun_Pr803113274115125473t_bool: $tType ).

tff(type_def_88,type,
    fun_fi2406938933853765693er_nat: $tType ).

tff(type_def_89,type,
    fun_VE2066785035971159626l_bool: $tType ).

tff(type_def_90,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_91,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_92,type,
    fun_na5614638261385347865t_bool: $tType ).

tff(type_def_93,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_94,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_95,type,
    fun_VE3763956218935105199t_bool: $tType ).

tff(type_def_96,type,
    fun_na2351039247863542899T_bool: $tType ).

tff(type_def_97,type,
    fun_Co3748208068438171869l_bool: $tType ).

tff(type_def_98,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_99,type,
    fun_na5042103099923536755t_bool: $tType ).

tff(type_def_100,type,
    fun_co1378794544173401837x_bool: $tType ).

tff(type_def_101,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_102,type,
    filter1242075044329608583at_nat: $tType ).

tff(type_def_103,type,
    fun_re5749909910586605750t_bool: $tType ).

tff(type_def_104,type,
    fun_Ex4578939836232520097l_bool: $tType ).

tff(type_def_105,type,
    fun_Ex4978594138320671356l_bool: $tType ).

tff(type_def_106,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_107,type,
    list_P6321009189627309296t_bool: $tType ).

tff(type_def_108,type,
    produc6448083994118892042T_bool: $tType ).

tff(type_def_109,type,
    list_P8198026277950538467nt_nat: $tType ).

tff(type_def_110,type,
    list_P5707943133018811711nt_int: $tType ).

tff(type_def_111,type,
    fun_li6006399982103069984T_bool: $tType ).

tff(type_def_112,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_113,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_114,type,
    produc1531783533982839933T_VEBT: $tType ).

tff(type_def_115,type,
    produc7417142470700560111r_bool: $tType ).

tff(type_def_116,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_117,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_118,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_119,type,
    fun_se448528567104302406T_bool: $tType ).

tff(type_def_120,type,
    fun_se1093428521897753731t_bool: $tType ).

tff(type_def_121,type,
    fun_set_set_nat_bool: $tType ).

tff(type_def_122,type,
    fun_na5941084329111710283x_bool: $tType ).

tff(type_def_123,type,
    fun_set_nat_set_nat: $tType ).

tff(type_def_124,type,
    fun_set_int_set_int: $tType ).

tff(type_def_125,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_126,type,
    fun_se2015444840911768724t_bool: $tType ).

tff(type_def_127,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_128,type,
    fun_re1255401033344146673l_bool: $tType ).

tff(type_def_129,type,
    fun_fu7511176317168184086l_bool: $tType ).

tff(type_def_130,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_131,type,
    fun_re3316061561565328172l_bool: $tType ).

tff(type_def_132,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_133,type,
    fun_bo2025495424286513072l_bool: $tType ).

tff(type_def_134,type,
    fun_in3970322703178350321l_bool: $tType ).

tff(type_def_135,type,
    fun_bo1841576699660343469l_bool: $tType ).

tff(type_def_136,type,
    set_list_VEBT_VEBT: $tType ).

tff(type_def_137,type,
    fun_fu7168253649841883962l_bool: $tType ).

tff(type_def_138,type,
    fun_real_fun_nat_rat: $tType ).

tff(type_def_139,type,
    fun_nat_fun_nat_real: $tType ).

tff(type_def_140,type,
    fun_na9137082442855928016l_bool: $tType ).

tff(type_def_141,type,
    fun_in3865155034416861484l_bool: $tType ).

tff(type_def_142,type,
    fun_fun_nat_rat_bool: $tType ).

tff(type_def_143,type,
    fun_set_complex_bool: $tType ).

tff(type_def_144,type,
    fun_rat_fun_rat_bool: $tType ).

tff(type_def_145,type,
    fun_num_fun_num_bool: $tType ).

tff(type_def_146,type,
    fun_nat_fun_nat_bool: $tType ).

tff(type_def_147,type,
    fun_nat_fun_int_bool: $tType ).

tff(type_def_148,type,
    fun_int_fun_int_bool: $tType ).

tff(type_def_149,type,
    fun_rat_fun_rat_rat: $tType ).

tff(type_def_150,type,
    fun_nat_fun_nat_nat: $tType ).

tff(type_def_151,type,
    fun_int_fun_int_int: $tType ).

tff(type_def_152,type,
    set_se7270636423289371942d_enat: $tType ).

tff(type_def_153,type,
    fun_list_bool_bool: $tType ).

tff(type_def_154,type,
    produc4876081531382960352t_bool: $tType ).

tff(type_def_155,type,
    fun_set_real_bool: $tType ).

tff(type_def_156,type,
    fun_list_nat_bool: $tType ).

tff(type_def_157,type,
    product_prod_nat_nat: $tType ).

tff(type_def_158,type,
    product_prod_int_nat: $tType ).

tff(type_def_159,type,
    product_prod_int_int: $tType ).

tff(type_def_160,type,
    fun_VEBT_VEBT_bool: $tType ).

tff(type_def_161,type,
    fun_set_bool_bool: $tType ).

tff(type_def_162,type,
    fun_VEBT_VEBT_nat: $tType ).

tff(type_def_163,type,
    fun_set_rat_bool: $tType ).

tff(type_def_164,type,
    fun_set_num_bool: $tType ).

tff(type_def_165,type,
    fun_set_nat_bool: $tType ).

tff(type_def_166,type,
    fun_set_int_bool: $tType ).

tff(type_def_167,type,
    fun_bo7282069421189217543nteger: $tType ).

tff(type_def_168,type,
    fun_Co8822979462182099027r_bool: $tType ).

tff(type_def_169,type,
    fun_set_nat_nat: $tType ).

tff(type_def_170,type,
    fun_nat_set_nat: $tType ).

tff(type_def_171,type,
    fun_nat_set_int: $tType ).

tff(type_def_172,type,
    fun_complex_complex: $tType ).

tff(type_def_173,type,
    fun_Code_integer_num: $tType ).

tff(type_def_174,type,
    fun_Code_integer_nat: $tType ).

tff(type_def_175,type,
    fun_Code_integer_int: $tType ).

tff(type_def_176,type,
    set_set_complex: $tType ).

tff(type_def_177,type,
    fun_Pr1792556611952799308t_real: $tType ).

tff(type_def_178,type,
    fun_Ex1451620480498224165t_real: $tType ).

tff(type_def_179,type,
    fun_Pr1572506220757514509t_bool: $tType ).

tff(type_def_180,type,
    fun_Ex8563670519792538868t_bool: $tType ).

tff(type_def_181,type,
    set_filter_nat: $tType ).

tff(type_def_182,type,
    filter_set_nat: $tType ).

tff(type_def_183,type,
    fun_na8797796813480665199d_enat: $tType ).

tff(type_def_184,type,
    fun_Ex4152069839811072081at_rat: $tType ).

tff(type_def_185,type,
    list_list_nat: $tType ).

tff(type_def_186,type,
    set_list_bool: $tType ).

tff(type_def_187,type,
    list_VEBT_VEBT: $tType ).

tff(type_def_188,type,
    fun_complex_real: $tType ).

tff(type_def_189,type,
    set_list_nat: $tType ).

tff(type_def_190,type,
    list_set_nat: $tType ).

tff(type_def_191,type,
    list_Code_integer: $tType ).

tff(type_def_192,type,
    fun_complex_bool: $tType ).

tff(type_def_193,type,
    set_VEBT_VEBT: $tType ).

tff(type_def_194,type,
    set_set_bool: $tType ).

tff(type_def_195,type,
    fun_nat_complex: $tType ).

tff(type_def_196,type,
    fun_complex_rat: $tType ).

tff(type_def_197,type,
    fun_complex_num: $tType ).

tff(type_def_198,type,
    set_set_nat: $tType ).

tff(type_def_199,type,
    set_set_int: $tType ).

tff(type_def_200,type,
    set_Code_integer: $tType ).

tff(type_def_201,type,
    list_Product_unit: $tType ).

tff(type_def_202,type,
    list_Extended_enat: $tType ).

tff(type_def_203,type,
    set_Product_unit: $tType ).

tff(type_def_204,type,
    set_Extended_enat: $tType ).

tff(type_def_205,type,
    fun_char_nat: $tType ).

tff(type_def_206,type,
    fun_real_real: $tType ).

tff(type_def_207,type,
    fun_nat_char: $tType ).

tff(type_def_208,type,
    fun_real_bool: $tType ).

tff(type_def_209,type,
    fun_bool_real: $tType ).

tff(type_def_210,type,
    fun_real_rat: $tType ).

tff(type_def_211,type,
    fun_real_num: $tType ).

tff(type_def_212,type,
    fun_real_nat: $tType ).

tff(type_def_213,type,
    fun_real_int: $tType ).

tff(type_def_214,type,
    fun_rat_real: $tType ).

tff(type_def_215,type,
    fun_num_real: $tType ).

tff(type_def_216,type,
    fun_nat_real: $tType ).

tff(type_def_217,type,
    fun_int_real: $tType ).

tff(type_def_218,type,
    fun_bool_bool: $tType ).

tff(type_def_219,type,
    list_complex: $tType ).

tff(type_def_220,type,
    fun_rat_bool: $tType ).

tff(type_def_221,type,
    fun_num_bool: $tType ).

tff(type_def_222,type,
    fun_nat_bool: $tType ).

tff(type_def_223,type,
    fun_int_bool: $tType ).

tff(type_def_224,type,
    fun_bool_rat: $tType ).

tff(type_def_225,type,
    fun_bool_num: $tType ).

tff(type_def_226,type,
    fun_bool_nat: $tType ).

tff(type_def_227,type,
    fun_bool_int: $tType ).

tff(type_def_228,type,
    fun_rat_rat: $tType ).

tff(type_def_229,type,
    fun_rat_num: $tType ).

tff(type_def_230,type,
    fun_rat_nat: $tType ).

tff(type_def_231,type,
    fun_rat_int: $tType ).

tff(type_def_232,type,
    fun_num_rat: $tType ).

tff(type_def_233,type,
    fun_num_num: $tType ).

tff(type_def_234,type,
    fun_num_nat: $tType ).

tff(type_def_235,type,
    fun_num_int: $tType ).

tff(type_def_236,type,
    fun_nat_rat: $tType ).

tff(type_def_237,type,
    fun_nat_num: $tType ).

tff(type_def_238,type,
    fun_nat_nat: $tType ).

tff(type_def_239,type,
    fun_nat_int: $tType ).

tff(type_def_240,type,
    fun_int_rat: $tType ).

tff(type_def_241,type,
    fun_int_num: $tType ).

tff(type_def_242,type,
    fun_int_nat: $tType ).

tff(type_def_243,type,
    fun_int_int: $tType ).

tff(type_def_244,type,
    set_complex: $tType ).

tff(type_def_245,type,
    filter_real: $tType ).

tff(type_def_246,type,
    option_num: $tType ).

tff(type_def_247,type,
    filter_nat: $tType ).

tff(type_def_248,type,
    set_char: $tType ).

tff(type_def_249,type,
    list_real: $tType ).

tff(type_def_250,type,
    list_bool: $tType ).

tff(type_def_251,type,
    set_real: $tType ).

tff(type_def_252,type,
    list_nat: $tType ).

tff(type_def_253,type,
    list_int: $tType ).

tff(type_def_254,type,
    vEBT_VEBT: $tType ).

tff(type_def_255,type,
    set_bool: $tType ).

tff(type_def_256,type,
    set_rat: $tType ).

tff(type_def_257,type,
    set_num: $tType ).

tff(type_def_258,type,
    set_nat: $tType ).

tff(type_def_259,type,
    set_int: $tType ).

tff(type_def_260,type,
    code_integer: $tType ).

tff(type_def_261,type,
    product_unit: $tType ).

tff(type_def_262,type,
    extended_enat: $tType ).

tff(type_def_263,type,
    complex: $tType ).

tff(type_def_264,type,
    literal: $tType ).

tff(type_def_265,type,
    char: $tType ).

tff(type_def_266,type,
    real: $tType ).

tff(type_def_267,type,
    bool: $tType ).

tff(type_def_268,type,
    rat: $tType ).

tff(type_def_269,type,
    num: $tType ).

tff(type_def_270,type,
    nat: $tType ).

tff(type_def_271,type,
    int: $tType ).

tff(func_def_0,type,
    aTP_Lamm_a: set_Extended_enat > fun_Ex8563670519792538868t_bool ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_bool > fun_bool_bool ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_real > fun_real_bool ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_list_nat > fun_list_nat_bool ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_set_nat > fun_set_nat_bool ).

tff(func_def_5,type,
    aTP_Lamm_ae: set_nat > fun_nat_bool ).

tff(func_def_6,type,
    aTP_Lamm_af: set_int > fun_int_bool ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_real_bool > fun_fu5874800227564645059l_bool ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_list_nat_bool > fun_fu8303687057036190147t_bool ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_set_nat_bool > fun_fu7495562154832025027t_bool ).

tff(func_def_10,type,
    aTP_Lamm_aj: fun_nat_bool > fun_fu3889889255038636099t_bool ).

tff(func_def_11,type,
    aTP_Lamm_ak: fun_int_bool > fun_fu7822069302422884163t_bool ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_complex_bool > fun_fu5204410621998794179x_bool ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_Ex8563670519792538868t_bool > fun_fu739766798173130341t_bool ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_real_bool > fun_fu5874800227564645059l_bool ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_list_nat_bool > fun_fu8303687057036190147t_bool ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_set_nat_bool > fun_fu7495562154832025027t_bool ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_nat_bool > fun_fu3889889255038636099t_bool ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_int_bool > fun_fu7822069302422884163t_bool ).

tff(func_def_19,type,
    aTP_Lamm_as: fun_complex_bool > fun_fu5204410621998794179x_bool ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_Ex8563670519792538868t_bool > fun_fu739766798173130341t_bool ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_se707272970763642173t_bool ).

tff(func_def_22,type,
    aTP_Lamm_av: set_complex > fun_set_complex_bool ).

tff(func_def_23,type,
    aTP_Lamm_aw: set_Extended_enat > fun_se2015444840911768724t_bool ).

tff(func_def_24,type,
    aTP_Lamm_ax: set_int > fun_set_int_bool ).

tff(func_def_25,type,
    aTP_Lamm_ay: nat > fun_co1378794544173401837x_bool ).

tff(func_def_26,type,
    aTP_Lamm_az: list_nat > fun_list_nat_bool ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_nat_fun_nat_bool ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_int_fun_int_bool ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_bo1841576699660343469l_bool ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_se707272970763642173t_bool ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_re1255401033344146673l_bool ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_Ex8598408993869023341t_bool ).

tff(func_def_33,type,
    aTP_Lamm_bg: fun_nat_fun_nat_bool ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_fun_nat_bool ).

tff(func_def_35,type,
    aTP_Lamm_bi: int > fun_int_fun_int_bool ).

tff(func_def_36,type,
    aTP_Lamm_bj: int > fun_int_fun_int_bool ).

tff(func_def_37,type,
    aTP_Lamm_bk: int > fun_int_fun_int_bool ).

tff(func_def_38,type,
    aTP_Lamm_bl: int > fun_int_fun_int_bool ).

tff(func_def_39,type,
    aTP_Lamm_bm: set_Pr4811707699266497531nteger > fun_Co8310303586393106575r_bool ).

tff(func_def_40,type,
    aTP_Lamm_bn: set_Pr9123050470547338789r_bool > fun_Co3748208068438171869l_bool ).

tff(func_def_41,type,
    aTP_Lamm_bo: set_Pr8693737435421807431at_nat > fun_Pr248683899324676269t_bool ).

tff(func_def_42,type,
    aTP_Lamm_bp: set_Pr1261947904930325089at_nat > fun_nat_fun_nat_bool ).

tff(func_def_43,type,
    aTP_Lamm_bq: set_Pr958786334691620121nt_int > fun_int_fun_int_bool ).

tff(func_def_44,type,
    aTP_Lamm_br: nat > fun_complex_bool ).

tff(func_def_45,type,
    aTP_Lamm_bs: complex > fun_na5941084329111710283x_bool ).

tff(func_def_46,type,
    aTP_Lamm_bt: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_nat_nat > fun_nat_fun_nat_bool ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_nat_fun_nat_bool ).

tff(func_def_49,type,
    aTP_Lamm_bw: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_50,type,
    aTP_Lamm_bx: set_nat > fun_nat_fun_nat_bool ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_re4238438383274954274t_real ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_re4238438383274954274t_real ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_re4238438383274954274t_real ).

tff(func_def_54,type,
    aTP_Lamm_cb: fun_nat_real > fun_nat_real ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_nat ).

tff(func_def_57,type,
    aTP_Lamm_ce: nat > fun_nat_fun_nat_nat ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_re4238438383274954274t_real ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_complex_complex ).

tff(func_def_60,type,
    aTP_Lamm_ch: real > fun_fu6899955116716589935t_real ).

tff(func_def_61,type,
    aTP_Lamm_ci: fun_re4238438383274954274t_real ).

tff(func_def_62,type,
    aTP_Lamm_cj: fun_int_int ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_re4238438383274954274t_real ).

tff(func_def_64,type,
    aTP_Lamm_cl: nat > fun_nat_fun_nat_nat ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_re1255401033344146673l_bool ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_re1255401033344146673l_bool ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_real_bool ).

tff(func_def_71,type,
    aTP_Lamm_cs: fun_re1255401033344146673l_bool ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_real_bool ).

tff(func_def_73,type,
    aTP_Lamm_cu: real > fun_int_bool ).

tff(func_def_74,type,
    aTP_Lamm_cv: num > fun_na4138050610385705875at_nat ).

tff(func_def_75,type,
    aTP_Lamm_cw: num > fun_in1696471567231710611nt_int ).

tff(func_def_76,type,
    aTP_Lamm_cx: fun_na4138050610385705875at_nat ).

tff(func_def_77,type,
    aTP_Lamm_cy: rat > fun_int_bool ).

tff(func_def_78,type,
    aTP_Lamm_cz: fun_nat_bool > fun_nat_bool ).

tff(func_def_79,type,
    aTP_Lamm_da: int > fun_int_fun_int_bool ).

tff(func_def_80,type,
    aTP_Lamm_db: int > fun_int_fun_int_bool ).

tff(func_def_81,type,
    aTP_Lamm_dc: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_82,type,
    aTP_Lamm_dd: num > fun_Co2470855966376689427nteger ).

tff(func_def_83,type,
    aTP_Lamm_de: nat > fun_na5042103099923536755t_bool ).

tff(func_def_84,type,
    aTP_Lamm_df: code_integer > fun_Co3025358997185726883r_bool ).

tff(func_def_85,type,
    aTP_Lamm_dg: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_86,type,
    aTP_Lamm_dh: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_Co3583066429914935172er_nat ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_Co1092983284983208416er_int ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_nat_fun_nat_nat ).

tff(func_def_90,type,
    aTP_Lamm_dl: fun_Co8521658056209057742er_num ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_nat_real > fun_nat_real ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_nat_fun_nat_nat ).

tff(func_def_93,type,
    aTP_Lamm_do: fun_na6724076748692969250l_real ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_real_real ).

tff(func_def_95,type,
    aTP_Lamm_dq: fun_re4238438383274954274t_real ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_na6724076748692969250l_real ).

tff(func_def_97,type,
    aTP_Lamm_ds: fun_re7681423839302404990l_real ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_99,type,
    aTP_Lamm_du: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_101,type,
    aTP_Lamm_dw: real > fun_fu5589980185390252312t_real ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_105,type,
    aTP_Lamm_ea: nat > fun_fu3612569900928539882l_real ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_107,type,
    aTP_Lamm_ec: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_nat_real > fun_real_real ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_nat_real > fun_nat_real ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_nat_real > fun_nat_real ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_nat_fun_nat_nat ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_nat_real > fun_nat_real ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_re4238438383274954274t_real ).

tff(func_def_118,type,
    aTP_Lamm_en: real > fun_re4238438383274954274t_real ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_re4238438383274954274t_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_nat_real > fun_nat_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: nat > fun_fu3077872570260440615l_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_nat_bool > fun_nat_fun_nat_bool ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_nat_bool ).

tff(func_def_124,type,
    aTP_Lamm_et: real > fun_re1255401033344146673l_bool ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_real_real > fun_real_real ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_nat_set_nat ).

tff(func_def_127,type,
    aTP_Lamm_ew: nat > fun_nat_fun_nat_bool ).

tff(func_def_128,type,
    aTP_Lamm_ex: real > fun_co1378794544173401837x_bool ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_re3844104906058862192omplex ).

tff(func_def_130,type,
    aTP_Lamm_ez: real > fun_re1255401033344146673l_bool ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_re5512370375968561900l_real ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_nat_fun_nat_nat ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_134,type,
    aTP_Lamm_fd: nat > fun_li8232715659020003717t_bool ).

tff(func_def_135,type,
    aTP_Lamm_fe: set_real > fun_real_bool ).

tff(func_def_136,type,
    aTP_Lamm_ff: set_int > fun_int_bool ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_real_bool ).

tff(func_def_138,type,
    aTP_Lamm_fh: nat > fun_nat_complex ).

tff(func_def_139,type,
    aTP_Lamm_fi: complex > fun_real_bool ).

tff(func_def_140,type,
    aTP_Lamm_fj: nat > fun_na5614638261385347865t_bool ).

tff(func_def_141,type,
    aTP_Lamm_fk: nat > fun_na5614638261385347865t_bool ).

tff(func_def_142,type,
    aTP_Lamm_fl: nat > fun_na5614638261385347865t_bool ).

tff(func_def_143,type,
    aTP_Lamm_fm: nat > fun_na3408937105440547634t_bool ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_na4786964484885125043t_bool ).

tff(func_def_145,type,
    aTP_Lamm_fo: nat > fun_na3408937105440547634t_bool ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_na4786964484885125043t_bool ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_nat_fun_nat_nat ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_nat_nat ).

tff(func_def_149,type,
    aTP_Lamm_fs: nat > fun_nat_fun_nat_bool ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_151,type,
    aTP_Lamm_fu: int > fun_in6148020733644367646t_bool ).

tff(func_def_152,type,
    aTP_Lamm_fv: rat > fun_int_fun_int_bool ).

tff(func_def_153,type,
    aTP_Lamm_fw: int > fun_in6148020733644367646t_bool ).

tff(func_def_154,type,
    aTP_Lamm_fx: rat > fun_int_fun_int_bool ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_bool ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_fun_nat_nat ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_fun_nat_nat ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_fun_nat_nat ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_nat_fun_nat_nat ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_fun_nat_rat_bool ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_na1476630412504255114at_nat ).

tff(func_def_162,type,
    aTP_Lamm_gf: nat > fun_nat_fun_nat_bool ).

tff(func_def_163,type,
    aTP_Lamm_gg: nat > fun_nat_set_nat ).

tff(func_def_164,type,
    aTP_Lamm_gh: nat > fun_nat_set_nat ).

tff(func_def_165,type,
    aTP_Lamm_gi: nat > fun_nat_set_nat ).

tff(func_def_166,type,
    aTP_Lamm_gj: fun_Pr803113274115125473t_bool ).

tff(func_def_167,type,
    aTP_Lamm_gk: rat > fun_Pr803113274115125473t_bool ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_nat_fun_nat_bool ).

tff(func_def_169,type,
    aTP_Lamm_gm: nat > fun_nat_fun_nat_bool ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_171,type,
    aTP_Lamm_go: extended_enat > fun_nat_bool ).

tff(func_def_172,type,
    aTP_Lamm_gp: extended_enat > fun_nat_bool ).

tff(func_def_173,type,
    aTP_Lamm_gq: real > fun_re8658731967611918585t_real ).

tff(func_def_174,type,
    aTP_Lamm_gr: nat > fun_VE3165209603783583043T_VEBT ).

tff(func_def_175,type,
    aTP_Lamm_gs: nat > fun_na8797796813480665199d_enat ).

tff(func_def_176,type,
    aTP_Lamm_gt: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_177,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_178,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_179,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_180,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_181,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_182,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_183,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_184,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_185,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

tff(func_def_186,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

tff(func_def_187,type,
    bNF_re9007465950226028919l_bool: ( fun_int_fun_int_bool * fun_bo1841576699660343469l_bool ) > fun_fu7925731147167280621l_bool ).

tff(func_def_188,type,
    bNF_re6223507645442431167l_bool: ( fun_nat_fun_nat_bool * fun_bo1841576699660343469l_bool ) > fun_fu5827305053654988013l_bool ).

tff(func_def_189,type,
    bNF_re1498568104593929552l_bool: ( fun_Pr5932607294251420486t_bool * fun_bo1841576699660343469l_bool ) > fun_fu813382667476268716l_bool ).

tff(func_def_190,type,
    bNF_re3189209160384574813l_bool: ( fun_Pr248683899324676269t_bool * fun_bo1841576699660343469l_bool ) > fun_fu8778301040783821591l_bool ).

tff(func_def_191,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_192,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_193,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_194,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_195,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_196,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_197,type,
    bit_concat_bit: nat > fun_int_fun_int_int ).

tff(func_def_198,type,
    bit_ri7919022796975470100ot_int: int > int ).

tff(func_def_199,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_200,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_201,type,
    bit_se3949692690581998587nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_202,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_203,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_204,type,
    bit_se3928097537394005634nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_205,type,
    bit_se8568078237143864401it_int: ( nat * int ) > int ).

tff(func_def_206,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_207,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_208,type,
    bit_se2159334234014336723it_int: ( nat * int ) > int ).

tff(func_def_209,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_210,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_211,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_212,type,
    bit_se1080825931792720795nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_213,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_214,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_215,type,
    bit_se7788150548672797655nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_216,type,
    bit_se545348938243370406it_int: ( nat * int ) > int ).

tff(func_def_217,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_218,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_219,type,
    bit_se7879613467334960850it_int: ( nat * int ) > int ).

tff(func_def_220,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_221,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_222,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_223,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_224,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_225,type,
    bit_se4203085406695923979it_int: ( nat * int ) > int ).

tff(func_def_226,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_227,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_228,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_229,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_bool ).

tff(func_def_230,type,
    bit_se1146084159140164899it_int: int > fun_nat_bool ).

tff(func_def_231,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_bool ).

tff(func_def_232,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_233,type,
    cOMBB_3745307990312268622T_VEBT: ( fun_bool_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_234,type,
    cOMBB_3438363824644082366T_VEBT: ( fun_bo1841576699660343469l_bool * fun_VEBT_VEBT_bool ) > fun_VE2066785035971159626l_bool ).

tff(func_def_235,type,
    cOMBB_2885587777813823575T_VEBT: ( fun_fu7168253649841883962l_bool * fun_VE3763956218935105199t_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_236,type,
    cOMBC_771164880915498576T_bool: ( fun_VE7346385682144900493T_bool * set_VEBT_VEBT ) > fun_VEBT_VEBT_bool ).

tff(func_def_237,type,
    cOMBS_6222329278419335549l_bool: ( fun_VE2066785035971159626l_bool * fun_VEBT_VEBT_bool ) > fun_VEBT_VEBT_bool ).

tff(func_def_238,type,
    code_bit_cut_integer: code_integer > produc7417142470700560111r_bool ).

tff(func_def_239,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_240,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_241,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_242,type,
    code_integer_of_int: int > code_integer ).

tff(func_def_243,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_244,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_245,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_246,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_247,type,
    complete_Inf_Inf_nat: set_nat > nat ).

tff(func_def_248,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_249,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_250,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_251,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_252,type,
    arg: fun_complex_real ).

tff(func_def_253,type,
    cis: real > complex ).

tff(func_def_254,type,
    cnj: fun_complex_complex ).

tff(func_def_255,type,
    complex2: ( real * real ) > complex ).

tff(func_def_256,type,
    im: fun_complex_real ).

tff(func_def_257,type,
    re: fun_complex_real ).

tff(func_def_258,type,
    csqrt: fun_complex_complex ).

tff(func_def_259,type,
    imaginary_unit: complex ).

tff(func_def_260,type,
    condit2214826472909112428ve_nat: fun_set_nat_bool ).

tff(func_def_261,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_262,type,
    unique6322359934112328802ux_nat: fun_Pr7757163693017731481t_bool ).

tff(func_def_263,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_264,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_265,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_266,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_267,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_268,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_269,type,
    euclid3395696857347342551nt_int: int > int ).

tff(func_def_270,type,
    extended_eSuc: extended_enat > extended_enat ).

tff(func_def_271,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_272,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_273,type,
    extend8126323780198025762t_bool: ( fun_nat_bool * bool ) > fun_Ex8563670519792538868t_bool ).

tff(func_def_274,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_275,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_276,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_277,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_278,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_279,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_280,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_281,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_282,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_283,type,
    at_bot_real: filter_real ).

tff(func_def_284,type,
    at_top_nat: filter_nat ).

tff(func_def_285,type,
    at_top_real: filter_real ).

tff(func_def_286,type,
    cofinite_nat: filter_nat ).

tff(func_def_287,type,
    finite3254316476582989077op_nat: set_nat > filter_set_nat ).

tff(func_def_288,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_289,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_290,type,
    prod_filter_nat_nat: ( filter_nat * filter_nat ) > filter1242075044329608583at_nat ).

tff(func_def_291,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_292,type,
    finite121521170596916366d_enat: set_Extended_enat > nat ).

tff(func_def_293,type,
    finite_card_bool: set_bool > nat ).

tff(func_def_294,type,
    finite_card_int: set_int > nat ).

tff(func_def_295,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_296,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_297,type,
    finite711546835091564841at_nat: set_Pr1261947904930325089at_nat > nat ).

tff(func_def_298,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_299,type,
    finite_card_real: set_real > nat ).

tff(func_def_300,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_301,type,
    finite7802652506058667612T_VEBT: set_VEBT_VEBT > nat ).

tff(func_def_302,type,
    finite3207457112153483333omplex: fun_set_complex_bool ).

tff(func_def_303,type,
    finite4001608067531595151d_enat: fun_se2015444840911768724t_bool ).

tff(func_def_304,type,
    finite_finite_bool: fun_set_bool_bool ).

tff(func_def_305,type,
    finite_finite_int: fun_set_int_bool ).

tff(func_def_306,type,
    finite_finite_nat: fun_set_nat_bool ).

tff(func_def_307,type,
    finite_finite_num: fun_set_num_bool ).

tff(func_def_308,type,
    finite_finite_rat: fun_set_rat_bool ).

tff(func_def_309,type,
    finite_finite_real: fun_set_real_bool ).

tff(func_def_310,type,
    finite1152437895449049373et_nat: fun_set_set_nat_bool ).

tff(func_def_311,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_bool ).

tff(func_def_312,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_bool ).

tff(func_def_313,type,
    bij_betw_nat_nat: fun_nat_nat > fun_se707272970763642173t_bool ).

tff(func_def_314,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_315,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_316,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_317,type,
    id_bool: fun_bool_bool ).

tff(func_def_318,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_319,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_bool ).

tff(func_def_320,type,
    inj_on_real_real: fun_real_real > fun_set_real_bool ).

tff(func_def_321,type,
    inj_on_set_nat_nat: fun_set_nat_nat > fun_set_set_nat_bool ).

tff(func_def_322,type,
    map_fu5118516228767806217l_bool: ( fun_ra4503298312962071866nt_int * fun_bool_bool * fun_Pr803113274115125473t_bool ) > fun_rat_bool ).

tff(func_def_323,type,
    map_fu1722713901878115497l_bool: ( fun_real_fun_nat_rat * fun_bool_bool * fun_fun_nat_rat_bool ) > fun_real_bool ).

tff(func_def_324,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_bool ).

tff(func_def_325,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_326,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_327,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_328,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_329,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_330,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_331,type,
    bezw_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_332,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_333,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_334,type,
    gcd_nat_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_335,type,
    semiri4256215615220890538in_int: set_int > int ).

tff(func_def_336,type,
    semiri4258706085729940814in_nat: set_nat > nat ).

tff(func_def_337,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_338,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_339,type,
    abs_abs_int: fun_int_int ).

tff(func_def_340,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_341,type,
    abs_abs_real: fun_real_real ).

tff(func_def_342,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_343,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_344,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_345,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_346,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_347,type,
    minus_minus_rat: fun_rat_fun_rat_rat ).

tff(func_def_348,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_349,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_350,type,
    minus_925952699566721837d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_351,type,
    minus_1488485472792771695er_nat: ( set_filter_nat * set_filter_nat ) > set_filter_nat ).

tff(func_def_352,type,
    minus_minus_set_bool: fun_se3394281818192328589t_bool ).

tff(func_def_353,type,
    minus_minus_set_int: fun_se6573205548028396576et_int ).

tff(func_def_354,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_355,type,
    minus_minus_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_356,type,
    minus_1356011639430497352at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_357,type,
    minus_6452836326544984404t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_358,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_359,type,
    minus_6488304676537700670t_bool: ( set_set_bool * set_set_bool ) > set_set_bool ).

tff(func_def_360,type,
    minus_8897228262479074673et_int: ( set_set_int * set_set_int ) > set_set_int ).

tff(func_def_361,type,
    minus_2163939370556025621et_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_362,type,
    minus_4207664762107033000at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_363,type,
    minus_5127226145743854075T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_364,type,
    one_one_Code_integer: code_integer ).

tff(func_def_365,type,
    one_one_complex: complex ).

tff(func_def_366,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_367,type,
    one_one_int: int ).

tff(func_def_368,type,
    one_one_nat: nat ).

tff(func_def_369,type,
    one_one_rat: rat ).

tff(func_def_370,type,
    one_one_real: real ).

tff(func_def_371,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_372,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_373,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_374,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_375,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_376,type,
    plus_plus_num: num > fun_num_num ).

tff(func_def_377,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_378,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_379,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_380,type,
    sgn_sgn_Code_integer: code_integer > code_integer ).

tff(func_def_381,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_382,type,
    sgn_sgn_int: int > int ).

tff(func_def_383,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_384,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_385,type,
    times_3573771949741848930nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_386,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_387,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_388,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_389,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_390,type,
    times_times_num: num > fun_num_num ).

tff(func_def_391,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_392,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_393,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_394,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_395,type,
    uminus_uminus_int: int > int ).

tff(func_def_396,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_397,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_398,type,
    uminus417252749190364093d_enat: set_Extended_enat > set_Extended_enat ).

tff(func_def_399,type,
    uminus5166143097222041326t_bool: set_bool > set_bool ).

tff(func_def_400,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_401,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_402,type,
    uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_403,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_404,type,
    uminus613421341184616069et_nat: set_set_nat > set_set_nat ).

tff(func_def_405,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_406,type,
    zero_zero_complex: complex ).

tff(func_def_407,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_408,type,
    zero_zero_int: int ).

tff(func_def_409,type,
    zero_zero_nat: nat ).

tff(func_def_410,type,
    zero_zero_rat: rat ).

tff(func_def_411,type,
    zero_zero_real: real ).

tff(func_def_412,type,
    zero_zero_literal: literal ).

tff(func_def_413,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_414,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_415,type,
    groups3542108847815614940at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_416,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_417,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_418,type,
    groups7755797274146815065nteger: ( fun_bo7282069421189217543nteger * code_integer * list_bool ) > code_integer ).

tff(func_def_419,type,
    groups4048646594741130792ol_int: ( fun_bool_int * int * list_bool ) > int ).

tff(func_def_420,type,
    groups4051137065250181068ol_nat: ( fun_bool_nat * nat * list_bool ) > nat ).

tff(func_def_421,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_422,type,
    the_int: fun_int_bool > int ).

tff(func_def_423,type,
    the_Pr4378521158711661632nt_int: fun_Pr803113274115125473t_bool > product_prod_int_int ).

tff(func_def_424,type,
    the_real: fun_real_bool > real ).

tff(func_def_425,type,
    if_Code_integer: ( bool * code_integer * code_integer ) > code_integer ).

tff(func_def_426,type,
    if_Extended_enat: ( bool * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_427,type,
    if_int: bool > fun_int_fun_int_int ).

tff(func_def_428,type,
    if_nat: bool > fun_nat_fun_nat_nat ).

tff(func_def_429,type,
    if_num: ( bool * num ) > fun_num_num ).

tff(func_def_430,type,
    if_Pro6119634080678213985nteger: ( bool * produc8923325533196201883nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_431,type,
    if_Pro3027730157355071871nt_int: ( bool * product_prod_int_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_432,type,
    if_Pro6206227464963214023at_nat: ( bool * product_prod_nat_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_433,type,
    if_VEBT_VEBT: ( bool * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_434,type,
    if_fun_int_int: ( bool * fun_int_int * fun_int_int ) > fun_int_int ).

tff(func_def_435,type,
    infini7641415182203889163d_enat: ( set_Extended_enat * nat ) > extended_enat ).

tff(func_def_436,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_437,type,
    infini7930543730640340914t_unit: ( set_Product_unit * nat ) > product_unit ).

tff(func_def_438,type,
    abs_Integ: product_prod_nat_nat > int ).

tff(func_def_439,type,
    rep_Integ: int > product_prod_nat_nat ).

tff(func_def_440,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_441,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_442,type,
    intrel: fun_Pr248683899324676269t_bool ).

tff(func_def_443,type,
    nat2: fun_int_nat ).

tff(func_def_444,type,
    pcr_int: fun_Pr5932607294251420486t_bool ).

tff(func_def_445,type,
    power_int_real: real > fun_int_real ).

tff(func_def_446,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_447,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_448,type,
    ring_1_Ints_int: set_int ).

tff(func_def_449,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_450,type,
    ring_1_Ints_real: set_real ).

tff(func_def_451,type,
    ring_18347121197199848620nteger: int > code_integer ).

tff(func_def_452,type,
    ring_17405671764205052669omplex: int > complex ).

tff(func_def_453,type,
    ring_1_of_int_int: int > int ).

tff(func_def_454,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_455,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_456,type,
    inf_in1870772243966228564d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_457,type,
    inf_inf_filter_nat: fun_fi7557781610047541018er_nat ).

tff(func_def_458,type,
    inf_inf_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_459,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_460,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_461,type,
    inf_inf_rat: fun_rat_fun_rat_rat ).

tff(func_def_462,type,
    inf_inf_real: fun_re7681423839302404990l_real ).

tff(func_def_463,type,
    inf_inf_set_complex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_464,type,
    inf_in8357106775501769908d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_465,type,
    inf_inf_set_bool: fun_se3394281818192328589t_bool ).

tff(func_def_466,type,
    inf_inf_set_int: fun_se6573205548028396576et_int ).

tff(func_def_467,type,
    inf_inf_set_list_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_468,type,
    inf_inf_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_469,type,
    inf_in8876636753061821161nteger: ( set_Pr4811707699266497531nteger * set_Pr4811707699266497531nteger ) > set_Pr4811707699266497531nteger ).

tff(func_def_470,type,
    inf_in2465178732223638199r_bool: ( set_Pr9123050470547338789r_bool * set_Pr9123050470547338789r_bool ) > set_Pr9123050470547338789r_bool ).

tff(func_def_471,type,
    inf_in2269163501485487111nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > set_Pr958786334691620121nt_int ).

tff(func_def_472,type,
    inf_in2572325071724192079at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_473,type,
    inf_in4302113700860409141at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_474,type,
    inf_in4660618365625256667t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_475,type,
    inf_inf_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_476,type,
    inf_inf_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_477,type,
    inf_in124358828398717565r_bool: ( fun_Co8310303586393106575r_bool * fun_Co8310303586393106575r_bool ) > fun_Co8310303586393106575r_bool ).

tff(func_def_478,type,
    inf_in5345672989223051887l_bool: ( fun_Co3748208068438171869l_bool * fun_Co3748208068438171869l_bool ) > fun_Co3748208068438171869l_bool ).

tff(func_def_479,type,
    inf_in9053446047475168223t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > fun_int_fun_int_bool ).

tff(func_def_480,type,
    inf_in183157752877997207t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_fun_nat_bool ).

tff(func_def_481,type,
    inf_in70171600007810459t_bool: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > fun_Pr248683899324676269t_bool ).

tff(func_def_482,type,
    sup_su3973961784419623482d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_483,type,
    sup_sup_filter_nat: fun_fi7557781610047541018er_nat ).

tff(func_def_484,type,
    sup_sup_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_485,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_486,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_487,type,
    sup_sup_rat: fun_rat_fun_rat_rat ).

tff(func_def_488,type,
    sup_sup_real: fun_re7681423839302404990l_real ).

tff(func_def_489,type,
    sup_sup_set_complex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_490,type,
    sup_su4489774667511045786d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_491,type,
    sup_su3181624671392095810er_nat: ( set_filter_nat * set_filter_nat ) > set_filter_nat ).

tff(func_def_492,type,
    sup_sup_set_bool: fun_se3394281818192328589t_bool ).

tff(func_def_493,type,
    sup_sup_set_int: fun_se6573205548028396576et_int ).

tff(func_def_494,type,
    sup_sup_set_list_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_495,type,
    sup_sup_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_496,type,
    sup_sup_set_num: ( set_num * set_num ) > set_num ).

tff(func_def_497,type,
    sup_su6327502436637775413at_nat: fun_se3560235952666129655at_nat ).

tff(func_def_498,type,
    sup_su793286257634532545t_unit: ( set_Product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_499,type,
    sup_sup_set_rat: ( set_rat * set_rat ) > set_rat ).

tff(func_def_500,type,
    sup_sup_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_501,type,
    sup_sup_set_set_bool: ( set_set_bool * set_set_bool ) > set_set_bool ).

tff(func_def_502,type,
    sup_sup_set_set_int: ( set_set_int * set_set_int ) > set_set_int ).

tff(func_def_503,type,
    sup_sup_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_504,type,
    sup_su3642409539654194069at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_505,type,
    sup_su6272177626956685416T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_506,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_507,type,
    lattic1922116423962787043ex_num: ( fun_complex_num * set_complex ) > complex ).

tff(func_def_508,type,
    lattic4729654577720512673ex_rat: ( fun_complex_rat * set_complex ) > complex ).

tff(func_def_509,type,
    lattic8794016678065449205x_real: ( fun_complex_real * set_complex ) > complex ).

tff(func_def_510,type,
    lattic3210252021154270693at_rat: ( fun_Ex4152069839811072081at_rat * set_Extended_enat ) > extended_enat ).

tff(func_def_511,type,
    lattic1189837152898106425t_real: ( fun_Ex1451620480498224165t_real * set_Extended_enat ) > extended_enat ).

tff(func_def_512,type,
    lattic3394598914726059992ol_num: fun_bool_num > fun_set_bool_bool ).

tff(func_def_513,type,
    lattic6202137068483785622ol_rat: fun_bool_rat > fun_set_bool_bool ).

tff(func_def_514,type,
    lattic5237676299781464426l_real: fun_bool_real > fun_set_bool_bool ).

tff(func_def_515,type,
    lattic5003618458639192673nt_num: ( fun_int_num * set_int ) > int ).

tff(func_def_516,type,
    lattic7811156612396918303nt_rat: ( fun_int_rat * set_int ) > int ).

tff(func_def_517,type,
    lattic2675449441010098035t_real: ( fun_int_real * set_int ) > int ).

tff(func_def_518,type,
    lattic4004264746738138117at_num: ( fun_nat_num * set_nat ) > nat ).

tff(func_def_519,type,
    lattic6811802900495863747at_rat: ( fun_nat_rat * set_nat ) > nat ).

tff(func_def_520,type,
    lattic488527866317076247t_real: ( fun_nat_real * set_nat ) > nat ).

tff(func_def_521,type,
    lattic4420706379359479199al_rat: ( fun_real_rat * set_real ) > real ).

tff(func_def_522,type,
    lattic8440615504127631091l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_523,type,
    lattic974744108425517955d_enat: set_Extended_enat > extended_enat ).

tff(func_def_524,type,
    lattic9128708996678779395er_nat: set_filter_nat > filter_nat ).

tff(func_def_525,type,
    lattic4298657801711135284n_bool: fun_set_bool_bool ).

tff(func_def_526,type,
    lattic5235898064620869839in_int: set_int > int ).

tff(func_def_527,type,
    lattic5238388535129920115in_nat: set_nat > nat ).

tff(func_def_528,type,
    lattic4603258475043424379in_rat: set_rat > rat ).

tff(func_def_529,type,
    lattic2677971596711400399n_real: set_real > real ).

tff(func_def_530,type,
    lattic7003477331465812244t_bool: set_set_bool > set_bool ).

tff(func_def_531,type,
    lattic8060154151401097861et_int: set_set_int > set_int ).

tff(func_def_532,type,
    lattic3014633134055518761et_nat: set_set_nat > set_nat ).

tff(func_def_533,type,
    lattic30941717366863870at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_534,type,
    lattic5005175426920976669d_enat: set_Extended_enat > extended_enat ).

tff(func_def_535,type,
    lattic5930898082463196905er_nat: set_filter_nat > filter_nat ).

tff(func_def_536,type,
    lattic4459742748949589454n_bool: fun_set_bool_bool ).

tff(func_def_537,type,
    lattic1091506334969745077in_int: set_int > int ).

tff(func_def_538,type,
    lattic1093996805478795353in_nat: set_nat > nat ).

tff(func_def_539,type,
    lattic458866745392299617in_rat: set_rat > rat ).

tff(func_def_540,type,
    lattic8928443293348198069n_real: set_real > real ).

tff(func_def_541,type,
    lattic2845182123645162670t_bool: set_set_bool > set_bool ).

tff(func_def_542,type,
    lattic8880645941091133547et_int: set_set_int > set_int ).

tff(func_def_543,type,
    lattic3835124923745554447et_nat: set_set_nat > set_nat ).

tff(func_def_544,type,
    lattic1541023418247406232at_nat: set_se7855581050983116737at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_545,type,
    at_infinity_real: filter_real ).

tff(func_def_546,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_547,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_548,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_549,type,
    last_nat: list_nat > nat ).

tff(func_def_550,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_551,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_552,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_553,type,
    nil_int: list_int ).

tff(func_def_554,type,
    nil_nat: list_nat ).

tff(func_def_555,type,
    hd_nat: list_nat > nat ).

tff(func_def_556,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_557,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_558,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_559,type,
    set_Extended_enat2: list_Extended_enat > set_Extended_enat ).

tff(func_def_560,type,
    set_bool2: list_bool > set_bool ).

tff(func_def_561,type,
    set_int2: list_int > set_int ).

tff(func_def_562,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_563,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_564,type,
    set_Product_unit2: list_Product_unit > set_Product_unit ).

tff(func_def_565,type,
    set_real2: list_real > set_real ).

tff(func_def_566,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_567,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_568,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_569,type,
    list_u3071683517702156500d_enat: ( list_Extended_enat * nat * extended_enat ) > list_Extended_enat ).

tff(func_def_570,type,
    list_update_bool: ( list_bool * nat * bool ) > list_bool ).

tff(func_def_571,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_572,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_573,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_574,type,
    list_update_set_nat: ( list_set_nat * nat * set_nat ) > list_set_nat ).

tff(func_def_575,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_576,type,
    nth_Code_integer: ( list_Code_integer * nat ) > code_integer ).

tff(func_def_577,type,
    nth_Extended_enat: ( list_Extended_enat * nat ) > extended_enat ).

tff(func_def_578,type,
    nth_bool: list_bool > fun_nat_bool ).

tff(func_def_579,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_580,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_581,type,
    nth_Pr2304437835452373666nteger: ( list_P5578671422887162913nteger * nat ) > produc8923325533196201883nteger ).

tff(func_def_582,type,
    nth_Pr136253548056570280r_bool: ( list_P8603913368774139775r_bool * nat ) > produc7417142470700560111r_bool ).

tff(func_def_583,type,
    nth_Pr6495399312670224281t_bool: ( list_P6321009189627309296t_bool * nat ) > produc4876081531382960352t_bool ).

tff(func_def_584,type,
    nth_Pr4439495888332055232nt_int: ( list_P5707943133018811711nt_int * nat ) > product_prod_int_int ).

tff(func_def_585,type,
    nth_Pr8617346907841251940nt_nat: ( list_P8198026277950538467nt_nat * nat ) > product_prod_int_nat ).

tff(func_def_586,type,
    nth_Pr3474266648193625910T_VEBT: ( list_P7524865323317820941T_VEBT * nat ) > produc1531783533982839933T_VEBT ).

tff(func_def_587,type,
    nth_Pr1289831921885633937T_bool: ( list_P44034876932920720T_bool * nat ) > produc6448083994118892042T_bool ).

tff(func_def_588,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_589,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_590,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_591,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_592,type,
    nth_set_nat: ( list_set_nat * nat ) > set_nat ).

tff(func_def_593,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_594,type,
    null_nat: fun_list_nat_bool ).

tff(func_def_595,type,
    null_VEBT_VEBT: fun_li6006399982103069984T_bool ).

tff(func_def_596,type,
    produc8792966785426426881nteger: ( list_Code_integer * list_Code_integer ) > list_P5578671422887162913nteger ).

tff(func_def_597,type,
    produc2469108709554126195r_bool: ( list_Code_integer * list_bool ) > list_P8603913368774139775r_bool ).

tff(func_def_598,type,
    product_int_bool: ( list_int * list_bool ) > list_P6321009189627309296t_bool ).

tff(func_def_599,type,
    product_int_int: ( list_int * list_int ) > list_P5707943133018811711nt_int ).

tff(func_def_600,type,
    product_int_nat: ( list_int * list_nat ) > list_P8198026277950538467nt_nat ).

tff(func_def_601,type,
    produc662631939642741121T_VEBT: ( list_int * list_VEBT_VEBT ) > list_P7524865323317820941T_VEBT ).

tff(func_def_602,type,
    produc5466675335756156456T_bool: ( list_VEBT_VEBT * list_bool ) > list_P44034876932920720T_bool ).

tff(func_def_603,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_604,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_605,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_606,type,
    remove8473807646742367858d_enat: ( extended_enat * list_Extended_enat ) > list_Extended_enat ).

tff(func_def_607,type,
    removeAll_bool: ( bool * list_bool ) > list_bool ).

tff(func_def_608,type,
    removeAll_int: ( int * list_int ) > list_int ).

tff(func_def_609,type,
    removeAll_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_610,type,
    removeAll_real: ( real * list_real ) > list_real ).

tff(func_def_611,type,
    removeAll_set_nat: ( set_nat * list_set_nat ) > list_set_nat ).

tff(func_def_612,type,
    removeAll_VEBT_VEBT: ( vEBT_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_613,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_614,type,
    rotate1_bool: list_bool > list_bool ).

tff(func_def_615,type,
    rotate1_int: list_int > list_int ).

tff(func_def_616,type,
    rotate1_nat: list_nat > list_nat ).

tff(func_def_617,type,
    rotate1_VEBT_VEBT: list_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_618,type,
    sorted_wrt_nat: fun_nat_fun_nat_bool > fun_list_nat_bool ).

tff(func_def_619,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_620,type,
    take_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_621,type,
    union_bool: ( list_bool * list_bool ) > list_bool ).

tff(func_def_622,type,
    union_int: ( list_int * list_int ) > list_int ).

tff(func_def_623,type,
    union_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_624,type,
    union_VEBT_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_625,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_626,type,
    upto: ( int * int ) > list_int ).

tff(func_def_627,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_628,type,
    upto_rel: fun_Pr3099820731930151597t_bool ).

tff(func_def_629,type,
    suc: fun_nat_nat ).

tff(func_def_630,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_631,type,
    case_nat_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_632,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_633,type,
    pred: fun_nat_nat ).

tff(func_def_634,type,
    semiri4939895301339042750nteger: nat > code_integer ).

tff(func_def_635,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_636,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_637,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_638,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_639,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_640,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_641,type,
    size_s3445333598471063425nteger: list_Code_integer > nat ).

tff(func_def_642,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_643,type,
    size_s3941691890525107288d_enat: list_Extended_enat > nat ).

tff(func_def_644,type,
    size_size_list_bool: list_bool > nat ).

tff(func_def_645,type,
    size_size_list_int: list_int > nat ).

tff(func_def_646,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_647,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_648,type,
    size_s245203480648594047t_unit: list_Product_unit > nat ).

tff(func_def_649,type,
    size_size_list_real: list_real > nat ).

tff(func_def_650,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_651,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_652,type,
    size_size_num: fun_num_nat ).

tff(func_def_653,type,
    size_size_option_num: option_num > nat ).

tff(func_def_654,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_655,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_656,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_657,type,
    nat_pr5047031295181774490ux_rel: fun_Pr248683899324676269t_bool ).

tff(func_def_658,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_659,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_660,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_661,type,
    sqrt: fun_real_real ).

tff(func_def_662,type,
    bitM: fun_num_num ).

tff(func_def_663,type,
    inc: fun_num_num ).

tff(func_def_664,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_665,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_666,type,
    neg_numeral_dbl_int: int > int ).

tff(func_def_667,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_668,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_669,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_670,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_671,type,
    neg_nu3811975205180677377ec_int: int > int ).

tff(func_def_672,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_673,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_674,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_675,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_676,type,
    neg_nu5851722552734809277nc_int: int > int ).

tff(func_def_677,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_678,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_679,type,
    neg_nu5755505904847501662nteger: ( num * num ) > code_integer ).

tff(func_def_680,type,
    neg_nu8416839295433526191omplex: ( num * num ) > complex ).

tff(func_def_681,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_682,type,
    neg_numeral_sub_rat: num > fun_num_rat ).

tff(func_def_683,type,
    neg_numeral_sub_real: num > fun_num_real ).

tff(func_def_684,type,
    bit0: fun_num_num ).

tff(func_def_685,type,
    bit1: fun_num_num ).

tff(func_def_686,type,
    one: num ).

tff(func_def_687,type,
    size_num: fun_num_nat ).

tff(func_def_688,type,
    num_of_nat: fun_nat_num ).

tff(func_def_689,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_690,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_691,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_692,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_693,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_694,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_695,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_696,type,
    pow: num > fun_num_num ).

tff(func_def_697,type,
    pred_numeral: fun_num_nat ).

tff(func_def_698,type,
    sqr: fun_num_num ).

tff(func_def_699,type,
    none_num: option_num ).

tff(func_def_700,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_701,type,
    some_num: num > option_num ).

tff(func_def_702,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_703,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_704,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_705,type,
    order_underS_nat: ( set_Pr1261947904930325089at_nat * nat ) > set_nat ).

tff(func_def_706,type,
    bot_bot_filter_nat: filter_nat ).

tff(func_def_707,type,
    bot_bot_nat: nat ).

tff(func_def_708,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_709,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

tff(func_def_710,type,
    bot_bo498966703094740906er_nat: set_filter_nat ).

tff(func_def_711,type,
    bot_bot_set_bool: set_bool ).

tff(func_def_712,type,
    bot_bot_set_int: set_int ).

tff(func_def_713,type,
    bot_bot_set_list_nat: set_list_nat ).

tff(func_def_714,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_715,type,
    bot_bot_set_num: set_num ).

tff(func_def_716,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_717,type,
    bot_bo3957492148770167129t_unit: set_Product_unit ).

tff(func_def_718,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_719,type,
    bot_bot_set_real: set_real ).

tff(func_def_720,type,
    bot_bot_set_set_bool: set_set_bool ).

tff(func_def_721,type,
    bot_bot_set_set_int: set_set_int ).

tff(func_def_722,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_723,type,
    bot_bo3083307316010499117at_nat: set_se7855581050983116737at_nat ).

tff(func_def_724,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

tff(func_def_725,type,
    bot_bo8629865092333707656t_bool: fun_Ex8563670519792538868t_bool ).

tff(func_def_726,type,
    bot_bo4756488196683355415l_bool: fun_bool_bool ).

tff(func_def_727,type,
    bot_bot_fun_int_bool: fun_int_bool ).

tff(func_def_728,type,
    bot_bo6469247547558333820t_bool: fun_list_nat_bool ).

tff(func_def_729,type,
    bot_bot_fun_nat_bool: fun_nat_bool ).

tff(func_def_730,type,
    bot_bo4181092155253064880l_bool: fun_real_bool ).

tff(func_def_731,type,
    bot_bo8343409700046576086t_bool: fun_set_nat_bool ).

tff(func_def_732,type,
    ord_Least_nat: fun_nat_bool > nat ).

tff(func_def_733,type,
    ord_Least_real: fun_real_bool > real ).

tff(func_def_734,type,
    ord_le6747313008572928689nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_735,type,
    ord_le72135733267957522d_enat: fun_Ex8598408993869023341t_bool ).

tff(func_def_736,type,
    ord_less_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_737,type,
    ord_less_int: fun_int_fun_int_bool ).

tff(func_def_738,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

tff(func_def_739,type,
    ord_less_num: fun_num_fun_num_bool ).

tff(func_def_740,type,
    ord_less_rat: fun_rat_fun_rat_bool ).

tff(func_def_741,type,
    ord_less_real: fun_re1255401033344146673l_bool ).

tff(func_def_742,type,
    ord_less_set_complex: set_complex > fun_set_complex_bool ).

tff(func_def_743,type,
    ord_le2529575680413868914d_enat: set_Extended_enat > fun_se2015444840911768724t_bool ).

tff(func_def_744,type,
    ord_less_set_bool: set_bool > fun_set_bool_bool ).

tff(func_def_745,type,
    ord_less_set_int: set_int > fun_set_int_bool ).

tff(func_def_746,type,
    ord_less_set_nat: fun_se707272970763642173t_bool ).

tff(func_def_747,type,
    ord_less_set_num: set_num > fun_set_num_bool ).

tff(func_def_748,type,
    ord_less_set_rat: set_rat > fun_set_rat_bool ).

tff(func_def_749,type,
    ord_less_set_real: set_real > fun_set_real_bool ).

tff(func_def_750,type,
    ord_less_set_set_nat: set_set_nat > fun_set_set_nat_bool ).

tff(func_def_751,type,
    ord_le3102999989581377725nteger: fun_Co8310303586393106575r_bool ).

tff(func_def_752,type,
    ord_le2932123472753598470d_enat: fun_Ex8598408993869023341t_bool ).

tff(func_def_753,type,
    ord_less_eq_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_754,type,
    ord_less_eq_int: fun_int_fun_int_bool ).

tff(func_def_755,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

tff(func_def_756,type,
    ord_less_eq_num: fun_num_fun_num_bool ).

tff(func_def_757,type,
    ord_less_eq_rat: fun_rat_fun_rat_bool ).

tff(func_def_758,type,
    ord_less_eq_real: fun_re1255401033344146673l_bool ).

tff(func_def_759,type,
    ord_le211207098394363844omplex: set_complex > fun_set_complex_bool ).

tff(func_def_760,type,
    ord_le7203529160286727270d_enat: set_Extended_enat > fun_se2015444840911768724t_bool ).

tff(func_def_761,type,
    ord_less_eq_set_bool: set_bool > fun_set_bool_bool ).

tff(func_def_762,type,
    ord_less_eq_set_int: set_int > fun_set_int_bool ).

tff(func_def_763,type,
    ord_less_eq_set_nat: fun_se707272970763642173t_bool ).

tff(func_def_764,type,
    ord_less_eq_set_num: set_num > fun_set_num_bool ).

tff(func_def_765,type,
    ord_less_eq_set_rat: set_rat > fun_set_rat_bool ).

tff(func_def_766,type,
    ord_less_eq_set_real: set_real > fun_set_real_bool ).

tff(func_def_767,type,
    ord_le6893508408891458716et_nat: set_set_nat > fun_set_set_nat_bool ).

tff(func_def_768,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_769,type,
    ord_ma741700101516333627d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_770,type,
    ord_max_filter_nat: fun_fi7557781610047541018er_nat ).

tff(func_def_771,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_772,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_773,type,
    ord_max_num: num > fun_num_num ).

tff(func_def_774,type,
    ord_max_rat: fun_rat_fun_rat_rat ).

tff(func_def_775,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_776,type,
    ord_ma4205026669011143323d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_777,type,
    ord_max_set_bool: fun_se3394281818192328589t_bool ).

tff(func_def_778,type,
    ord_max_set_int: fun_se6573205548028396576et_int ).

tff(func_def_779,type,
    ord_max_set_nat: fun_se1909708154429037836et_nat ).

tff(func_def_780,type,
    ord_max_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_781,type,
    ord_max_set_set_nat: ( set_set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_782,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_783,type,
    order_Greatest_nat: fun_nat_bool > nat ).

tff(func_def_784,type,
    ordering_top_nat: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > fun_nat_bool ).

tff(func_def_785,type,
    top_top_set_bool: set_bool ).

tff(func_def_786,type,
    top_top_set_nat: set_nat ).

tff(func_def_787,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_788,type,
    top_top_set_real: set_real ).

tff(func_def_789,type,
    top_top_set_char: set_char ).

tff(func_def_790,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_791,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_792,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_793,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_794,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_795,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_796,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_797,type,
    produc5135875973608410785r_bool: ( code_integer * bool ) > produc7417142470700560111r_bool ).

tff(func_def_798,type,
    produc788913908665201810t_bool: ( int * bool ) > produc4876081531382960352t_bool ).

tff(func_def_799,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_800,type,
    product_Pair_int_nat: ( int * nat ) > product_prod_int_nat ).

tff(func_def_801,type,
    produc3329399203697025711T_VEBT: ( int * vEBT_VEBT ) > produc1531783533982839933T_VEBT ).

tff(func_def_802,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_803,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_804,type,
    produc581526299967858633d_enat: ( vEBT_VEBT * extended_enat ) > produc7272778201969148633d_enat ).

tff(func_def_805,type,
    produc3035007008238225530T_bool: ( vEBT_VEBT * bool ) > produc6448083994118892042T_bool ).

tff(func_def_806,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_807,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_808,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_809,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_810,type,
    produc6499014454317279255nteger: ( fun_Co8499238673658658103nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_811,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_812,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_813,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_814,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_815,type,
    produc6117575242473779287r_bool: ( fun_Co3025358997185726883r_bool * produc8923325533196201883nteger ) > produc7417142470700560111r_bool ).

tff(func_def_816,type,
    produc9214369023355538061x_bool: fun_co1378794544173401837x_bool > fun_Pr8073036449086768093x_bool ).

tff(func_def_817,type,
    produc8560705615207772305t_bool: fun_int_fun_int_bool > fun_Pr803113274115125473t_bool ).

tff(func_def_818,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_819,type,
    produc8955392012077580105t_bool: fun_nat_fun_nat_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_820,type,
    produc2626176000494625587at_nat: ( fun_na4138050610385705875at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_821,type,
    produc5023667602222594023t_bool: fun_na4786964484885125043t_bool > fun_Pr248683899324676269t_bool ).

tff(func_def_822,type,
    produc5257810830037637649l_bool: fun_re1255401033344146673l_bool > fun_Pr9030630356418945121l_bool ).

tff(func_def_823,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_824,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_825,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_826,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_827,type,
    abs_Rat: product_prod_int_int > rat ).

tff(func_def_828,type,
    fract: int > fun_int_rat ).

tff(func_def_829,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_830,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_831,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_832,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_833,type,
    pcr_rat: fun_Pr3145601080792579042t_bool ).

tff(func_def_834,type,
    positive: fun_rat_bool ).

tff(func_def_835,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_836,type,
    ratrel: fun_Pr3099820731930151597t_bool ).

tff(func_def_837,type,
    real2: fun_nat_rat > real ).

tff(func_def_838,type,
    pcr_real: fun_fu990398353789569848l_bool ).

tff(func_def_839,type,
    positive2: fun_real_bool ).

tff(func_def_840,type,
    realrel: fun_fu2636726645394866687t_bool ).

tff(func_def_841,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_842,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_843,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_844,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_845,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_846,type,
    real_V4546457046886955230omplex: real > complex ).

tff(func_def_847,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_848,type,
    field_nat: set_Pr1261947904930325089at_nat > set_nat ).

tff(func_def_849,type,
    algebr932160517623751201me_int: fun_int_fun_int_bool ).

tff(func_def_850,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_bool ).

tff(func_def_851,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_852,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_853,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_854,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_855,type,
    divide_divide_rat: fun_rat_fun_rat_rat ).

tff(func_def_856,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_857,type,
    dvd_dvd_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_858,type,
    dvd_dvd_complex: fun_co1378794544173401837x_bool ).

tff(func_def_859,type,
    dvd_dvd_int: fun_int_fun_int_bool ).

tff(func_def_860,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

tff(func_def_861,type,
    dvd_dvd_rat: fun_rat_fun_rat_bool ).

tff(func_def_862,type,
    dvd_dvd_real: fun_re1255401033344146673l_bool ).

tff(func_def_863,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_864,type,
    modulo_modulo_int: fun_int_fun_int_int ).

tff(func_def_865,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_866,type,
    zero_n356916108424825756nteger: fun_bo7282069421189217543nteger ).

tff(func_def_867,type,
    zero_n1201886186963655149omplex: bool > complex ).

tff(func_def_868,type,
    zero_n2684676970156552555ol_int: fun_bool_int ).

tff(func_def_869,type,
    zero_n2687167440665602831ol_nat: fun_bool_nat ).

tff(func_def_870,type,
    zero_n2052037380579107095ol_rat: fun_bool_rat ).

tff(func_def_871,type,
    zero_n3304061248610475627l_real: fun_bool_real ).

tff(func_def_872,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_873,type,
    collect_complex: fun_complex_bool > set_complex ).

tff(func_def_874,type,
    collec4429806609662206161d_enat: fun_Ex8563670519792538868t_bool > set_Extended_enat ).

tff(func_def_875,type,
    collect_bool: fun_bool_bool > set_bool ).

tff(func_def_876,type,
    collect_int: fun_int_bool > set_int ).

tff(func_def_877,type,
    collect_list_nat: fun_list_nat_bool > set_list_nat ).

tff(func_def_878,type,
    collect_nat: fun_nat_bool > set_nat ).

tff(func_def_879,type,
    collec8663557070575231912omplex: fun_Pr8073036449086768093x_bool > set_Pr5085853215250843933omplex ).

tff(func_def_880,type,
    collec213857154873943460nt_int: fun_Pr803113274115125473t_bool > set_Pr958786334691620121nt_int ).

tff(func_def_881,type,
    collec3392354462482085612at_nat: fun_Pr7757163693017731481t_bool > set_Pr1261947904930325089at_nat ).

tff(func_def_882,type,
    collec3799799289383736868l_real: fun_Pr9030630356418945121l_bool > set_Pr6218003697084177305l_real ).

tff(func_def_883,type,
    collect_real: fun_real_bool > set_real ).

tff(func_def_884,type,
    collect_set_complex: fun_set_complex_bool > set_set_complex ).

tff(func_def_885,type,
    collec2260605976452661553d_enat: fun_se2015444840911768724t_bool > set_se7270636423289371942d_enat ).

tff(func_def_886,type,
    collect_set_int: fun_set_int_bool > set_set_int ).

tff(func_def_887,type,
    collect_set_nat: fun_set_nat_bool > set_set_nat ).

tff(func_def_888,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_889,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_890,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_891,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_892,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_893,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_894,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_895,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_896,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_897,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_898,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_899,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_900,type,
    insert_complex: ( complex * set_complex ) > set_complex ).

tff(func_def_901,type,
    insert_Extended_enat: ( extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_902,type,
    insert_filter_nat: ( filter_nat * set_filter_nat ) > set_filter_nat ).

tff(func_def_903,type,
    insert_bool: ( bool * set_bool ) > set_bool ).

tff(func_def_904,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_905,type,
    insert_list_nat: ( list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_906,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_907,type,
    insert_num: ( num * set_num ) > set_num ).

tff(func_def_908,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_909,type,
    insert_Product_unit: ( product_unit * set_Product_unit ) > set_Product_unit ).

tff(func_def_910,type,
    insert_rat: ( rat * set_rat ) > set_rat ).

tff(func_def_911,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_912,type,
    insert_set_bool: ( set_bool * set_set_bool ) > set_set_bool ).

tff(func_def_913,type,
    insert_set_int: ( set_int * set_set_int ) > set_set_int ).

tff(func_def_914,type,
    insert_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_915,type,
    insert9200635055090092081at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > set_se7855581050983116737at_nat ).

tff(func_def_916,type,
    insert_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_917,type,
    is_emp5240238520263478072d_enat: fun_se2015444840911768724t_bool ).

tff(func_def_918,type,
    is_empty_bool: fun_set_bool_bool ).

tff(func_def_919,type,
    is_empty_int: fun_set_int_bool ).

tff(func_def_920,type,
    is_empty_nat: fun_set_nat_bool ).

tff(func_def_921,type,
    is_empty_real: fun_set_real_bool ).

tff(func_def_922,type,
    is_empty_set_nat: fun_set_set_nat_bool ).

tff(func_def_923,type,
    is_singleton_complex: fun_set_complex_bool ).

tff(func_def_924,type,
    is_sin1871519699599484762d_enat: fun_se2015444840911768724t_bool ).

tff(func_def_925,type,
    is_singleton_bool: fun_set_bool_bool ).

tff(func_def_926,type,
    is_singleton_int: fun_set_int_bool ).

tff(func_def_927,type,
    is_singleton_nat: fun_set_nat_bool ).

tff(func_def_928,type,
    is_singleton_real: fun_set_real_bool ).

tff(func_def_929,type,
    is_singleton_set_nat: fun_set_set_nat_bool ).

tff(func_def_930,type,
    remove_Extended_enat: ( extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_931,type,
    remove_bool: ( bool * set_bool ) > set_bool ).

tff(func_def_932,type,
    remove_int: ( int * set_int ) > set_int ).

tff(func_def_933,type,
    remove_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_934,type,
    remove_real: ( real * set_real ) > set_real ).

tff(func_def_935,type,
    remove_set_nat: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_936,type,
    the_el319773668273709403d_enat: set_Extended_enat > extended_enat ).

tff(func_def_937,type,
    the_elem_bool: fun_set_bool_bool ).

tff(func_def_938,type,
    the_elem_int: set_int > int ).

tff(func_def_939,type,
    the_elem_nat: set_nat > nat ).

tff(func_def_940,type,
    the_elem_real: set_real > real ).

tff(func_def_941,type,
    the_elem_set_nat: set_set_nat > set_nat ).

tff(func_def_942,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_943,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_944,type,
    set_or5403411693681687835d_enat: ( extended_enat * extended_enat ) > set_Extended_enat ).

tff(func_def_945,type,
    set_or1454250544011482060t_bool: ( bool * bool ) > set_bool ).

tff(func_def_946,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_947,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_948,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_949,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_950,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_951,type,
    set_or370866239135849197et_int: ( set_int * set_int ) > set_set_int ).

tff(func_def_952,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_953,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_954,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_955,type,
    set_ord_atLeast_nat: nat > set_nat ).

tff(func_def_956,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_957,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_958,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_959,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_960,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_961,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_962,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_963,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_964,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_965,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_966,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_967,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_968,type,
    literal2: ( bool * bool * bool * bool * bool * bool * bool * literal ) > literal ).

tff(func_def_969,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_970,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_971,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_972,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_973,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_974,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_975,type,
    arccos: fun_real_real ).

tff(func_def_976,type,
    arcosh_real: fun_real_real ).

tff(func_def_977,type,
    arcsin: fun_real_real ).

tff(func_def_978,type,
    arctan: fun_real_real ).

tff(func_def_979,type,
    arsinh_real: fun_real_real ).

tff(func_def_980,type,
    artanh_real: fun_real_real ).

tff(func_def_981,type,
    cos_complex: fun_complex_complex ).

tff(func_def_982,type,
    cos_real: fun_real_real ).

tff(func_def_983,type,
    cos_coeff: fun_nat_real ).

tff(func_def_984,type,
    cosh_complex: fun_complex_complex ).

tff(func_def_985,type,
    cosh_real: fun_real_real ).

tff(func_def_986,type,
    cot_real: fun_real_real ).

tff(func_def_987,type,
    exp_complex: fun_complex_complex ).

tff(func_def_988,type,
    exp_real: fun_real_real ).

tff(func_def_989,type,
    ln_ln_real: fun_real_real ).

tff(func_def_990,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_991,type,
    pi: real ).

tff(func_def_992,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_993,type,
    powr_real2: fun_re7681423839302404990l_real ).

tff(func_def_994,type,
    sin_complex: fun_complex_complex ).

tff(func_def_995,type,
    sin_real: fun_real_real ).

tff(func_def_996,type,
    sin_coeff: fun_nat_real ).

tff(func_def_997,type,
    sinh_complex: fun_complex_complex ).

tff(func_def_998,type,
    sinh_real: fun_real_real ).

tff(func_def_999,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1000,type,
    tan_real: fun_real_real ).

tff(func_def_1001,type,
    tanh_complex: fun_complex_complex ).

tff(func_def_1002,type,
    tanh_real: fun_real_real ).

tff(func_def_1003,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1004,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1005,type,
    vEBT_Leaf: ( bool * bool ) > vEBT_VEBT ).

tff(func_def_1006,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1007,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1008,type,
    vEBT_V8194947554948674370ptions: fun_VE3763956218935105199t_bool ).

tff(func_def_1009,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1010,type,
    vEBT_V312737461966249ad_rel: fun_Pr5442483421567724333t_bool ).

tff(func_def_1011,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1012,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1013,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1014,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1015,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1016,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1017,type,
    vEBT_V5765760719290551771er_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1018,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1019,type,
    vEBT_VEBT_valid_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1020,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1021,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1022,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1023,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_bool ).

tff(func_def_1024,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1025,type,
    vEBT_vebt_insert_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1026,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1027,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_bool ).

tff(func_def_1028,type,
    vEBT_V6963167321098673237ll_rel: fun_VE5877677516038742509T_bool ).

tff(func_def_1029,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1030,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_bool ).

tff(func_def_1031,type,
    vEBT_vebt_member_rel: fun_Pr817965127378462947t_bool ).

tff(func_def_1032,type,
    accp_nat: fun_nat_fun_nat_bool > fun_nat_bool ).

tff(func_def_1033,type,
    accp_P4275260045618599050at_nat: fun_Pr248683899324676269t_bool > fun_Pr7757163693017731481t_bool ).

tff(func_def_1034,type,
    accp_VEBT_VEBT: fun_VE5877677516038742509T_bool > fun_VEBT_VEBT_bool ).

tff(func_def_1035,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1036,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1037,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1038,type,
    aa_Code_integer_bool: ( fun_Co8822979462182099027r_bool * code_integer ) > bool ).

tff(func_def_1039,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1040,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1041,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1042,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1043,type,
    aa_Cod2825494507867081354r_bool: ( fun_Co7333321365496032713r_bool * code_integer ) > produc7417142470700560111r_bool ).

tff(func_def_1044,type,
    aa_Cod7250484176784686200r_bool: ( fun_Co8310303586393106575r_bool * code_integer ) > fun_Co8822979462182099027r_bool ).

tff(func_def_1045,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1046,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1047,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1048,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1049,type,
    aa_Cod4981436349852597092r_bool: ( fun_Co3025358997185726883r_bool * code_integer ) > fun_Co7333321365496032713r_bool ).

tff(func_def_1050,type,
    aa_Cod8494480694608518558l_bool: ( fun_Co3748208068438171869l_bool * code_integer ) > fun_bool_bool ).

tff(func_def_1051,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1052,type,
    aa_complex_bool: ( fun_complex_bool * complex ) > bool ).

tff(func_def_1053,type,
    aa_complex_num: ( fun_complex_num * complex ) > num ).

tff(func_def_1054,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1055,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1056,type,
    aa_com1553036987509291606x_bool: ( fun_co1378794544173401837x_bool * complex ) > fun_complex_bool ).

tff(func_def_1057,type,
    aa_Ext2772979874139974381t_bool: ( fun_Ex8563670519792538868t_bool * extended_enat ) > bool ).

tff(func_def_1058,type,
    aa_Extended_enat_rat: ( fun_Ex4152069839811072081at_rat * extended_enat ) > rat ).

tff(func_def_1059,type,
    aa_Ext2541572767299617110t_real: ( fun_Ex1451620480498224165t_real * extended_enat ) > real ).

tff(func_def_1060,type,
    aa_Ext291666158496884126t_bool: ( fun_Ex8598408993869023341t_bool * extended_enat ) > fun_Ex8563670519792538868t_bool ).

tff(func_def_1061,type,
    aa_Ext5859091071952444205l_bool: ( fun_Ex4978594138320671356l_bool * extended_enat ) > fun_bool_bool ).

tff(func_def_1062,type,
    aa_Ext2523873896316635575t_bool: ( fun_Ex6990506909712494598t_bool * extended_enat ) > fun_Pr1572506220757514509t_bool ).

tff(func_def_1063,type,
    aa_Ext4143593917056713754l_bool: ( fun_Ex4578939836232520097l_bool * extended_enat ) > fun_real_bool ).

tff(func_def_1064,type,
    aa_fil4124504356706564990er_nat: ( fun_fi2406938933853765693er_nat * filter_nat ) > filter_nat ).

tff(func_def_1065,type,
    aa_fil1282661720248192731er_nat: ( fun_fi7557781610047541018er_nat * filter_nat ) > fun_fi2406938933853765693er_nat ).

tff(func_def_1066,type,
    aa_bool_Code_integer: ( fun_bo7282069421189217543nteger * bool ) > code_integer ).

tff(func_def_1067,type,
    aa_bool_bool: ( fun_bool_bool * bool ) > bool ).

tff(func_def_1068,type,
    aa_bool_int: ( fun_bool_int * bool ) > int ).

tff(func_def_1069,type,
    aa_bool_nat: ( fun_bool_nat * bool ) > nat ).

tff(func_def_1070,type,
    aa_bool_num: ( fun_bool_num * bool ) > num ).

tff(func_def_1071,type,
    aa_bool_rat: ( fun_bool_rat * bool ) > rat ).

tff(func_def_1072,type,
    aa_bool_real: ( fun_bool_real * bool ) > real ).

tff(func_def_1073,type,
    aa_boo8970175072276269406l_bool: ( fun_bo1841576699660343469l_bool * bool ) > fun_bool_bool ).

tff(func_def_1074,type,
    aa_boo2589871674041770537l_bool: ( fun_bo2025495424286513072l_bool * bool ) > fun_real_bool ).

tff(func_def_1075,type,
    aa_int_bool: ( fun_int_bool * int ) > bool ).

tff(func_def_1076,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1077,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1078,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1079,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1080,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1081,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1082,type,
    aa_int_fun_bool_bool: ( fun_in3865155034416861484l_bool * int ) > fun_bool_bool ).

tff(func_def_1083,type,
    aa_int_fun_int_bool: ( fun_int_fun_int_bool * int ) > fun_int_bool ).

tff(func_def_1084,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1085,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1086,type,
    aa_int2327297053056786951t_bool: ( fun_in6148020733644367646t_bool * int ) > fun_int_fun_int_bool ).

tff(func_def_1087,type,
    aa_int_fun_real_bool: ( fun_in3970322703178350321l_bool * int ) > fun_real_bool ).

tff(func_def_1088,type,
    aa_list_bool_bool: ( fun_list_bool_bool * list_bool ) > bool ).

tff(func_def_1089,type,
    aa_list_nat_bool: ( fun_list_nat_bool * list_nat ) > bool ).

tff(func_def_1090,type,
    aa_lis2822252094023462681T_bool: ( fun_li6006399982103069984T_bool * list_VEBT_VEBT ) > bool ).

tff(func_def_1091,type,
    aa_lis1179741779018426550t_bool: ( fun_li8232715659020003717t_bool * list_VEBT_VEBT ) > fun_VE491066615515474744t_bool ).

tff(func_def_1092,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1093,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1094,type,
    aa_nat_bool: ( fun_nat_bool * nat ) > bool ).

tff(func_def_1095,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1096,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1097,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1098,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1099,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1100,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1101,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1102,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1103,type,
    aa_nat5545486172511849908x_bool: ( fun_na5941084329111710283x_bool * nat ) > fun_complex_bool ).

tff(func_def_1104,type,
    aa_nat_fun_bool_bool: ( fun_na9137082442855928016l_bool * nat ) > fun_bool_bool ).

tff(func_def_1105,type,
    aa_nat_fun_int_bool: ( fun_nat_fun_int_bool * nat ) > fun_int_bool ).

tff(func_def_1106,type,
    aa_nat2079453845469346690t_bool: ( fun_na5614638261385347865t_bool * nat ) > fun_list_nat_bool ).

tff(func_def_1107,type,
    aa_nat_fun_nat_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).

tff(func_def_1108,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1109,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1110,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1111,type,
    aa_nat8637530788439456283t_bool: ( fun_na3408937105440547634t_bool * nat ) > fun_nat_fun_nat_bool ).

tff(func_def_1112,type,
    aa_nat4909001760120733684t_bool: ( fun_na4786964484885125043t_bool * nat ) > fun_na4827981024643048934t_bool ).

tff(func_def_1113,type,
    aa_nat4401263874371387303t_bool: ( fun_na4827981024643048934t_bool * nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1114,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1115,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1116,type,
    aa_nat8857836526276733660t_bool: ( fun_na5042103099923536755t_bool * nat ) > fun_set_nat_bool ).

tff(func_def_1117,type,
    aa_nat8029987864780243636T_bool: ( fun_na2351039247863542899T_bool * nat ) > fun_VEBT_VEBT_bool ).

tff(func_def_1118,type,
    aa_num_bool: ( fun_num_bool * num ) > bool ).

tff(func_def_1119,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1120,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1121,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1122,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1123,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1124,type,
    aa_num_fun_num_bool: ( fun_num_fun_num_bool * num ) > fun_num_bool ).

tff(func_def_1125,type,
    aa_Pro4501881432599481050t_bool: ( fun_Pr803113274115125473t_bool * product_prod_int_int ) > bool ).

tff(func_def_1126,type,
    aa_Pro1534211998248933470t_bool: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > fun_Pr803113274115125473t_bool ).

tff(func_def_1127,type,
    aa_Pro2232559814647311250t_bool: ( fun_Pr7757163693017731481t_bool * product_prod_nat_nat ) > bool ).

tff(func_def_1128,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1129,type,
    aa_Pro2928840338864870335t_bool: ( fun_Pr5932607294251420486t_bool * product_prod_nat_nat ) > fun_int_bool ).

tff(func_def_1130,type,
    aa_Pro595088089689268830t_bool: ( fun_Pr248683899324676269t_bool * product_prod_nat_nat ) > fun_Pr7757163693017731481t_bool ).

tff(func_def_1131,type,
    aa_Product_unit_bool: ( fun_Pr1572506220757514509t_bool * product_unit ) > bool ).

tff(func_def_1132,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1133,type,
    aa_rat_bool: ( fun_rat_bool * rat ) > bool ).

tff(func_def_1134,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1135,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1136,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1137,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1138,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1139,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1140,type,
    aa_rat_fun_rat_bool: ( fun_rat_fun_rat_bool * rat ) > fun_rat_bool ).

tff(func_def_1141,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1142,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1143,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1144,type,
    aa_real_bool: ( fun_real_bool * real ) > bool ).

tff(func_def_1145,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1146,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1147,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1148,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1149,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1150,type,
    aa_rea6668032140610767853l_bool: ( fun_re3316061561565328172l_bool * real ) > fun_bool_bool ).

tff(func_def_1151,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1152,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1153,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1154,type,
    aa_rea5803460634267220599t_bool: ( fun_re5749909910586605750t_bool * real ) > fun_Pr1572506220757514509t_bool ).

tff(func_def_1155,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1156,type,
    aa_rea7809428808904475482l_bool: ( fun_re1255401033344146673l_bool * real ) > fun_real_bool ).

tff(func_def_1157,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1158,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1159,type,
    aa_set_complex_bool: ( fun_set_complex_bool * set_complex ) > bool ).

tff(func_def_1160,type,
    aa_set3347977610044113549t_bool: ( fun_se2015444840911768724t_bool * set_Extended_enat ) > bool ).

tff(func_def_1161,type,
    aa_set_bool_bool: ( fun_set_bool_bool * set_bool ) > bool ).

tff(func_def_1162,type,
    aa_set_bool_set_bool: ( fun_se1093428521897753731t_bool * set_bool ) > set_bool ).

tff(func_def_1163,type,
    aa_set4734229006438377534t_bool: ( fun_se3394281818192328589t_bool * set_bool ) > fun_se1093428521897753731t_bool ).

tff(func_def_1164,type,
    aa_set_int_bool: ( fun_set_int_bool * set_int ) > bool ).

tff(func_def_1165,type,
    aa_set_int_set_int: ( fun_set_int_set_int * set_int ) > set_int ).

tff(func_def_1166,type,
    aa_set4234024024286713313et_int: ( fun_se6573205548028396576et_int * set_int ) > fun_set_int_set_int ).

tff(func_def_1167,type,
    aa_set_nat_bool: ( fun_set_nat_bool * set_nat ) > bool ).

tff(func_def_1168,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1169,type,
    aa_set_nat_set_nat: ( fun_set_nat_set_nat * set_nat ) > set_nat ).

tff(func_def_1170,type,
    aa_set5116768664143533222t_bool: ( fun_se707272970763642173t_bool * set_nat ) > fun_set_nat_bool ).

tff(func_def_1171,type,
    aa_set2309701074089104077et_nat: ( fun_se1909708154429037836et_nat * set_nat ) > fun_set_nat_set_nat ).

tff(func_def_1172,type,
    aa_set_num_bool: ( fun_set_num_bool * set_num ) > bool ).

tff(func_def_1173,type,
    aa_set8868280134176360700at_nat: ( fun_se320340636488258563at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1174,type,
    aa_set3608868651603078568at_nat: ( fun_se3560235952666129655at_nat * set_Pr1261947904930325089at_nat ) > fun_se320340636488258563at_nat ).

tff(func_def_1175,type,
    aa_set_rat_bool: ( fun_set_rat_bool * set_rat ) > bool ).

tff(func_def_1176,type,
    aa_set_real_bool: ( fun_set_real_bool * set_real ) > bool ).

tff(func_def_1177,type,
    aa_set_set_nat_bool: ( fun_set_set_nat_bool * set_set_nat ) > bool ).

tff(func_def_1178,type,
    aa_set8260762808118238015T_bool: ( fun_se448528567104302406T_bool * set_VEBT_VEBT ) > bool ).

tff(func_def_1179,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1180,type,
    aa_VEBT_VEBT_bool: ( fun_VEBT_VEBT_bool * vEBT_VEBT ) > bool ).

tff(func_def_1181,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1182,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1183,type,
    aa_VEB8047906998784800507l_bool: ( fun_VE2066785035971159626l_bool * vEBT_VEBT ) > fun_bool_bool ).

tff(func_def_1184,type,
    aa_VEB4832260192069861672t_bool: ( fun_VE3763956218935105199t_bool * vEBT_VEBT ) > fun_nat_bool ).

tff(func_def_1185,type,
    aa_VEB1917483692448707121t_bool: ( fun_VE491066615515474744t_bool * vEBT_VEBT ) > fun_nat_fun_nat_bool ).

tff(func_def_1186,type,
    aa_VEB289770264548726718T_bool: ( fun_VE7346385682144900493T_bool * vEBT_VEBT ) > fun_se448528567104302406T_bool ).

tff(func_def_1187,type,
    aa_fun1096865461735438652x_bool: ( fun_fu5204410621998794179x_bool * fun_complex_bool ) > fun_complex_bool ).

tff(func_def_1188,type,
    aa_fun4759809662886658982t_bool: ( fun_fu739766798173130341t_bool * fun_Ex8563670519792538868t_bool ) > fun_Ex8563670519792538868t_bool ).

tff(func_def_1189,type,
    aa_fun5146555767781538748t_bool: ( fun_fu7822069302422884163t_bool * fun_int_bool ) > fun_int_bool ).

tff(func_def_1190,type,
    aa_fun6009467934925565500t_bool: ( fun_fu8303687057036190147t_bool * fun_list_nat_bool ) > fun_list_nat_bool ).

tff(func_def_1191,type,
    aa_fun_nat_bool_bool: ( fun_fu7168253649841883962l_bool * fun_nat_bool ) > bool ).

tff(func_def_1192,type,
    aa_fun3878383735219268284t_bool: ( fun_fu3889889255038636099t_bool * fun_nat_bool ) > fun_nat_bool ).

tff(func_def_1193,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1194,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1195,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1196,type,
    aa_fun_nat_rat_bool: ( fun_fun_nat_rat_bool * fun_nat_rat ) > bool ).

tff(func_def_1197,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1198,type,
    aa_fun6650786570619099624t_bool: ( fun_fu2636726645394866687t_bool * fun_nat_rat ) > fun_fun_nat_rat_bool ).

tff(func_def_1199,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1200,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1201,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1202,type,
    aa_fun3352386287069783311l_bool: ( fun_fu7511176317168184086l_bool * fun_real_bool ) > bool ).

tff(func_def_1203,type,
    aa_fun6476784834714468668l_bool: ( fun_fu5874800227564645059l_bool * fun_real_bool ) > fun_real_bool ).

tff(func_def_1204,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1205,type,
    aa_fun3565389549526402364t_bool: ( fun_fu7495562154832025027t_bool * fun_set_nat_bool ) > fun_set_nat_bool ).

tff(func_def_1206,type,
    fAll_VEBT_VEBT: fun_VEBT_VEBT_bool > bool ).

tff(func_def_1207,type,
    fChoice_real: fun_real_bool > real ).

tff(func_def_1208,type,
    fEx_nat: fun_fu7168253649841883962l_bool ).

tff(func_def_1209,type,
    fEx_real: fun_fu7511176317168184086l_bool ).

tff(func_def_1210,type,
    fFalse: bool ).

tff(func_def_1211,type,
    fNot: fun_bool_bool ).

tff(func_def_1212,type,
    fTrue: bool ).

tff(func_def_1213,type,
    fconj: fun_bo1841576699660343469l_bool ).

tff(func_def_1214,type,
    fdisj: fun_bo1841576699660343469l_bool ).

tff(func_def_1215,type,
    fequal_Code_integer: fun_Co8310303586393106575r_bool ).

tff(func_def_1216,type,
    fequal_complex: fun_co1378794544173401837x_bool ).

tff(func_def_1217,type,
    fequal_Extended_enat: fun_Ex8598408993869023341t_bool ).

tff(func_def_1218,type,
    fequal_bool: fun_bo1841576699660343469l_bool ).

tff(func_def_1219,type,
    fequal_int: fun_int_fun_int_bool ).

tff(func_def_1220,type,
    fequal_list_nat: list_nat > fun_list_nat_bool ).

tff(func_def_1221,type,
    fequal_nat: fun_nat_fun_nat_bool ).

tff(func_def_1222,type,
    fequal_rat: fun_rat_fun_rat_bool ).

tff(func_def_1223,type,
    fequal_real: fun_re1255401033344146673l_bool ).

tff(func_def_1224,type,
    fequal_set_nat: fun_se707272970763642173t_bool ).

tff(func_def_1225,type,
    fimplies: fun_bo1841576699660343469l_bool ).

tff(func_def_1226,type,
    member_complex: complex > fun_set_complex_bool ).

tff(func_def_1227,type,
    member_Extended_enat: extended_enat > fun_se2015444840911768724t_bool ).

tff(func_def_1228,type,
    member_bool: bool > fun_set_bool_bool ).

tff(func_def_1229,type,
    member_int: int > fun_set_int_bool ).

tff(func_def_1230,type,
    member_nat: nat > fun_set_nat_bool ).

tff(func_def_1231,type,
    member_num: num > fun_set_num_bool ).

tff(func_def_1232,type,
    member_rat: rat > fun_set_rat_bool ).

tff(func_def_1233,type,
    member_real: real > fun_set_real_bool ).

tff(func_def_1234,type,
    member_set_nat: set_nat > fun_set_set_nat_bool ).

tff(func_def_1235,type,
    member_VEBT_VEBT: fun_VE7346385682144900493T_bool ).

tff(func_def_1236,type,
    n: nat ).

tff(func_def_1237,type,
    t: vEBT_VEBT ).

tff(func_def_1238,type,
    x: nat ).

tff(func_def_1239,type,
    y: nat ).

tff(func_def_1240,type,
    sK272: fun_list_nat_bool > list_nat ).

tff(func_def_1241,type,
    sK273: fun_nat_bool > nat ).

tff(func_def_1242,type,
    sK274: fun_int_bool > int ).

tff(func_def_1243,type,
    sK275: fun_bool_bool > bool ).

tff(func_def_1244,type,
    sK276: fun_set_nat_bool > set_nat ).

tff(func_def_1245,type,
    sK277: fun_real_bool > real ).

tff(func_def_1246,type,
    sK278: fun_Ex8563670519792538868t_bool > extended_enat ).

tff(func_def_1247,type,
    sK279: fun_list_nat_bool > list_nat ).

tff(func_def_1248,type,
    sK280: fun_nat_bool > nat ).

tff(func_def_1249,type,
    sK281: fun_int_bool > int ).

tff(func_def_1250,type,
    sK282: fun_bool_bool > bool ).

tff(func_def_1251,type,
    sK283: fun_set_nat_bool > set_nat ).

tff(func_def_1252,type,
    sK284: fun_real_bool > real ).

tff(func_def_1253,type,
    sK285: fun_Ex8563670519792538868t_bool > extended_enat ).

tff(func_def_1254,type,
    sK286: set_nat > nat ).

tff(func_def_1255,type,
    sK287: set_int > int ).

tff(func_def_1256,type,
    sK288: set_bool > bool ).

tff(func_def_1257,type,
    sK289: set_set_nat > set_nat ).

tff(func_def_1258,type,
    sK290: set_real > real ).

tff(func_def_1259,type,
    sK291: set_Extended_enat > extended_enat ).

tff(func_def_1260,type,
    sK292: set_nat > nat ).

tff(func_def_1261,type,
    sK293: set_int > int ).

tff(func_def_1262,type,
    sK294: set_bool > bool ).

tff(func_def_1263,type,
    sK295: set_set_nat > set_nat ).

tff(func_def_1264,type,
    sK296: set_real > real ).

tff(func_def_1265,type,
    sK297: set_Extended_enat > extended_enat ).

tff(func_def_1266,type,
    sK298: set_nat > nat ).

tff(func_def_1267,type,
    sK299: set_int > int ).

tff(func_def_1268,type,
    sK300: set_bool > bool ).

tff(func_def_1269,type,
    sK301: set_set_nat > set_nat ).

tff(func_def_1270,type,
    sK302: set_real > real ).

tff(func_def_1271,type,
    sK303: set_Extended_enat > extended_enat ).

tff(func_def_1272,type,
    sK304: ( extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_1273,type,
    sK305: ( real * set_real ) > set_real ).

tff(func_def_1274,type,
    sK306: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1275,type,
    sK307: ( nat * set_nat ) > set_nat ).

tff(func_def_1276,type,
    sK308: ( int * set_int ) > set_int ).

tff(func_def_1277,type,
    sK309: ( bool * set_bool ) > set_bool ).

tff(func_def_1278,type,
    sK310: ( set_Extended_enat * set_Extended_enat * extended_enat * extended_enat ) > set_Extended_enat ).

tff(func_def_1279,type,
    sK311: ( set_real * set_real * real * real ) > set_real ).

tff(func_def_1280,type,
    sK312: ( set_set_nat * set_set_nat * set_nat * set_nat ) > set_set_nat ).

tff(func_def_1281,type,
    sK313: ( set_nat * set_nat * nat * nat ) > set_nat ).

tff(func_def_1282,type,
    sK314: ( set_int * set_int * int * int ) > set_int ).

tff(func_def_1283,type,
    sK315: ( set_bool * bool * set_bool * bool ) > set_bool ).

tff(func_def_1284,type,
    sK316: ( extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_1285,type,
    sK317: ( real * set_real ) > set_real ).

tff(func_def_1286,type,
    sK318: ( set_nat * set_set_nat ) > set_set_nat ).

tff(func_def_1287,type,
    sK319: ( nat * set_nat ) > set_nat ).

tff(func_def_1288,type,
    sK320: ( int * set_int ) > set_int ).

tff(func_def_1289,type,
    sK321: ( bool * set_bool ) > set_bool ).

tff(func_def_1290,type,
    sK322: ( fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1291,type,
    sK323: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_1292,type,
    sK324: ( fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_1293,type,
    sK325: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1294,type,
    sK326: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1295,type,
    sK327: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1296,type,
    sK328: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1297,type,
    sK329: ( set_nat * set_nat * fun_nat_bool ) > nat ).

tff(func_def_1298,type,
    sK330: ( set_bool * fun_bool_bool ) > bool ).

tff(func_def_1299,type,
    sK331: ( set_bool * fun_bool_bool ) > bool ).

tff(func_def_1300,type,
    sK332: ( set_bool * set_bool * fun_bool_bool ) > bool ).

tff(func_def_1301,type,
    sK333: ( set_int * fun_int_bool ) > int ).

tff(func_def_1302,type,
    sK334: ( set_int * fun_int_bool ) > int ).

tff(func_def_1303,type,
    sK335: ( set_int * set_int * fun_int_bool ) > int ).

tff(func_def_1304,type,
    sK336: ( set_nat * set_nat * fun_nat_bool ) > nat ).

tff(func_def_1305,type,
    sK337: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1306,type,
    sK338: ( set_nat * fun_nat_bool ) > nat ).

tff(func_def_1307,type,
    sK339: ( set_bool * set_bool * fun_bool_bool ) > bool ).

tff(func_def_1308,type,
    sK340: ( set_bool * fun_bool_bool ) > bool ).

tff(func_def_1309,type,
    sK341: ( set_bool * fun_bool_bool ) > bool ).

tff(func_def_1310,type,
    sK342: ( set_int * set_int * fun_int_bool ) > int ).

tff(func_def_1311,type,
    sK343: ( set_int * fun_int_bool ) > int ).

tff(func_def_1312,type,
    sK344: ( set_int * fun_int_bool ) > int ).

tff(func_def_1313,type,
    sK345: set_nat > nat ).

tff(func_def_1314,type,
    sK346: set_int > int ).

tff(func_def_1315,type,
    sK347: set_bool > bool ).

tff(func_def_1316,type,
    sK348: set_set_nat > set_nat ).

tff(func_def_1317,type,
    sK349: set_real > real ).

tff(func_def_1318,type,
    sK350: set_Extended_enat > extended_enat ).

tff(func_def_1319,type,
    sK351: set_nat > nat ).

tff(func_def_1320,type,
    sK352: set_int > int ).

tff(func_def_1321,type,
    sK353: set_bool > bool ).

tff(func_def_1322,type,
    sK354: set_set_nat > set_nat ).

tff(func_def_1323,type,
    sK355: set_real > real ).

tff(func_def_1324,type,
    sK356: set_Extended_enat > extended_enat ).

tff(func_def_1325,type,
    sK357: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_1326,type,
    sK358: ( set_real * set_real ) > real ).

tff(func_def_1327,type,
    sK359: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_1328,type,
    sK360: ( set_nat * set_nat ) > nat ).

tff(func_def_1329,type,
    sK361: ( set_bool * set_bool ) > bool ).

tff(func_def_1330,type,
    sK362: ( set_int * set_int ) > int ).

tff(func_def_1331,type,
    sK363: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_1332,type,
    sK364: ( set_real * set_real ) > real ).

tff(func_def_1333,type,
    sK365: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_1334,type,
    sK366: ( set_nat * set_nat ) > nat ).

tff(func_def_1335,type,
    sK367: ( set_bool * set_bool ) > bool ).

tff(func_def_1336,type,
    sK368: ( set_int * set_int ) > int ).

tff(func_def_1337,type,
    sK369: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_1338,type,
    sK370: ( set_real * set_real ) > real ).

tff(func_def_1339,type,
    sK371: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_1340,type,
    sK372: ( set_nat * set_nat ) > nat ).

tff(func_def_1341,type,
    sK373: ( set_bool * set_bool ) > bool ).

tff(func_def_1342,type,
    sK374: ( set_int * set_int ) > int ).

tff(func_def_1343,type,
    sK375: ( fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1344,type,
    sK376: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_1345,type,
    sK377: ( fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_1346,type,
    sK378: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1347,type,
    sK379: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1348,type,
    sK380: ( fun_real_bool * fun_real_bool ) > real ).

tff(func_def_1349,type,
    sK381: ( fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_1350,type,
    sK382: ( fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_1351,type,
    sK383: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_1352,type,
    sK384: ( fun_int_bool * fun_int_bool ) > int ).

tff(func_def_1353,type,
    sK385: fun_rat_rat > rat ).

tff(func_def_1354,type,
    sK386: fun_rat_rat > rat ).

tff(func_def_1355,type,
    sK387: fun_rat_num > rat ).

tff(func_def_1356,type,
    sK388: fun_rat_num > rat ).

tff(func_def_1357,type,
    sK389: fun_rat_nat > rat ).

tff(func_def_1358,type,
    sK390: fun_rat_nat > rat ).

tff(func_def_1359,type,
    sK391: fun_rat_int > rat ).

tff(func_def_1360,type,
    sK392: fun_rat_int > rat ).

tff(func_def_1361,type,
    sK393: fun_num_rat > num ).

tff(func_def_1362,type,
    sK394: fun_num_rat > num ).

tff(func_def_1363,type,
    sK395: fun_num_num > num ).

tff(func_def_1364,type,
    sK396: fun_num_num > num ).

tff(func_def_1365,type,
    sK397: fun_num_nat > num ).

tff(func_def_1366,type,
    sK398: fun_num_nat > num ).

tff(func_def_1367,type,
    sK399: fun_num_int > num ).

tff(func_def_1368,type,
    sK400: fun_num_int > num ).

tff(func_def_1369,type,
    sK401: fun_nat_rat > nat ).

tff(func_def_1370,type,
    sK402: fun_nat_rat > nat ).

tff(func_def_1371,type,
    sK403: fun_nat_num > nat ).

tff(func_def_1372,type,
    sK404: fun_nat_num > nat ).

tff(func_def_1373,type,
    sK405: fun_rat_rat > rat ).

tff(func_def_1374,type,
    sK406: fun_rat_rat > rat ).

tff(func_def_1375,type,
    sK407: fun_rat_num > rat ).

tff(func_def_1376,type,
    sK408: fun_rat_num > rat ).

tff(func_def_1377,type,
    sK409: fun_rat_nat > rat ).

tff(func_def_1378,type,
    sK410: fun_rat_nat > rat ).

tff(func_def_1379,type,
    sK411: fun_rat_int > rat ).

tff(func_def_1380,type,
    sK412: fun_rat_int > rat ).

tff(func_def_1381,type,
    sK413: fun_num_rat > num ).

tff(func_def_1382,type,
    sK414: fun_num_rat > num ).

tff(func_def_1383,type,
    sK415: fun_num_num > num ).

tff(func_def_1384,type,
    sK416: fun_num_num > num ).

tff(func_def_1385,type,
    sK417: fun_num_nat > num ).

tff(func_def_1386,type,
    sK418: fun_num_nat > num ).

tff(func_def_1387,type,
    sK419: fun_num_int > num ).

tff(func_def_1388,type,
    sK420: fun_num_int > num ).

tff(func_def_1389,type,
    sK421: fun_nat_rat > nat ).

tff(func_def_1390,type,
    sK422: fun_nat_rat > nat ).

tff(func_def_1391,type,
    sK423: fun_nat_num > nat ).

tff(func_def_1392,type,
    sK424: fun_nat_num > nat ).

tff(func_def_1393,type,
    sK425: fun_rat_rat > rat ).

tff(func_def_1394,type,
    sK426: fun_rat_rat > rat ).

tff(func_def_1395,type,
    sK427: fun_rat_num > rat ).

tff(func_def_1396,type,
    sK428: fun_rat_num > rat ).

tff(func_def_1397,type,
    sK429: fun_rat_nat > rat ).

tff(func_def_1398,type,
    sK430: fun_rat_nat > rat ).

tff(func_def_1399,type,
    sK431: fun_rat_int > rat ).

tff(func_def_1400,type,
    sK432: fun_rat_int > rat ).

tff(func_def_1401,type,
    sK433: fun_num_rat > num ).

tff(func_def_1402,type,
    sK434: fun_num_rat > num ).

tff(func_def_1403,type,
    sK435: fun_num_num > num ).

tff(func_def_1404,type,
    sK436: fun_num_num > num ).

tff(func_def_1405,type,
    sK437: fun_num_nat > num ).

tff(func_def_1406,type,
    sK438: fun_num_nat > num ).

tff(func_def_1407,type,
    sK439: fun_num_int > num ).

tff(func_def_1408,type,
    sK440: fun_num_int > num ).

tff(func_def_1409,type,
    sK441: fun_nat_rat > nat ).

tff(func_def_1410,type,
    sK442: fun_nat_rat > nat ).

tff(func_def_1411,type,
    sK443: fun_nat_num > nat ).

tff(func_def_1412,type,
    sK444: fun_nat_num > nat ).

tff(func_def_1413,type,
    sK445: fun_rat_rat > rat ).

tff(func_def_1414,type,
    sK446: fun_rat_rat > rat ).

tff(func_def_1415,type,
    sK447: fun_num_rat > num ).

tff(func_def_1416,type,
    sK448: fun_num_rat > num ).

tff(func_def_1417,type,
    sK449: fun_nat_rat > nat ).

tff(func_def_1418,type,
    sK450: fun_nat_rat > nat ).

tff(func_def_1419,type,
    sK451: fun_int_rat > int ).

tff(func_def_1420,type,
    sK452: fun_int_rat > int ).

tff(func_def_1421,type,
    sK453: fun_rat_num > rat ).

tff(func_def_1422,type,
    sK454: fun_rat_num > rat ).

tff(func_def_1423,type,
    sK455: fun_num_num > num ).

tff(func_def_1424,type,
    sK456: fun_num_num > num ).

tff(func_def_1425,type,
    sK457: fun_nat_num > nat ).

tff(func_def_1426,type,
    sK458: fun_nat_num > nat ).

tff(func_def_1427,type,
    sK459: fun_int_num > int ).

tff(func_def_1428,type,
    sK460: fun_int_num > int ).

tff(func_def_1429,type,
    sK461: fun_rat_nat > rat ).

tff(func_def_1430,type,
    sK462: fun_rat_nat > rat ).

tff(func_def_1431,type,
    sK463: fun_num_nat > num ).

tff(func_def_1432,type,
    sK464: fun_num_nat > num ).

tff(func_def_1433,type,
    sK465: fun_rat_fun_rat_bool > rat ).

tff(func_def_1434,type,
    sK466: fun_rat_fun_rat_bool > rat ).

tff(func_def_1435,type,
    sK467: fun_rat_fun_rat_bool > rat ).

tff(func_def_1436,type,
    sK468: fun_rat_fun_rat_bool > rat ).

tff(func_def_1437,type,
    sK469: fun_num_fun_num_bool > num ).

tff(func_def_1438,type,
    sK470: fun_num_fun_num_bool > num ).

tff(func_def_1439,type,
    sK471: fun_num_fun_num_bool > num ).

tff(func_def_1440,type,
    sK472: fun_num_fun_num_bool > num ).

tff(func_def_1441,type,
    sK473: fun_nat_fun_nat_bool > nat ).

tff(func_def_1442,type,
    sK474: fun_nat_fun_nat_bool > nat ).

tff(func_def_1443,type,
    sK475: fun_nat_fun_nat_bool > nat ).

tff(func_def_1444,type,
    sK476: fun_nat_fun_nat_bool > nat ).

tff(func_def_1445,type,
    sK477: fun_int_fun_int_bool > int ).

tff(func_def_1446,type,
    sK478: fun_int_fun_int_bool > int ).

tff(func_def_1447,type,
    sK479: fun_int_fun_int_bool > int ).

tff(func_def_1448,type,
    sK480: fun_int_fun_int_bool > int ).

tff(func_def_1449,type,
    sK481: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1450,type,
    sK482: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1451,type,
    sK483: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1452,type,
    sK484: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1453,type,
    sK485: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1454,type,
    sK486: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1455,type,
    sK487: fun_se1909708154429037836et_nat > set_nat ).

tff(func_def_1456,type,
    sK488: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1457,type,
    sK489: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1458,type,
    sK490: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1459,type,
    sK491: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1460,type,
    sK492: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1461,type,
    sK493: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1462,type,
    sK494: fun_se3394281818192328589t_bool > set_bool ).

tff(func_def_1463,type,
    sK495: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1464,type,
    sK496: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1465,type,
    sK497: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1466,type,
    sK498: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1467,type,
    sK499: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1468,type,
    sK500: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1469,type,
    sK501: fun_fi7557781610047541018er_nat > filter_nat ).

tff(func_def_1470,type,
    sK502: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1471,type,
    sK503: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1472,type,
    sK504: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1473,type,
    sK505: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1474,type,
    sK506: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1475,type,
    sK507: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1476,type,
    sK508: fun_se6573205548028396576et_int > set_int ).

tff(func_def_1477,type,
    sK509: fun_rat_fun_rat_rat > rat ).

tff(func_def_1478,type,
    sK510: fun_rat_fun_rat_rat > rat ).

tff(func_def_1479,type,
    sK511: fun_rat_fun_rat_rat > rat ).

tff(func_def_1480,type,
    sK512: fun_rat_fun_rat_rat > rat ).

tff(func_def_1481,type,
    sK513: fun_rat_fun_rat_rat > rat ).

tff(func_def_1482,type,
    sK514: fun_rat_fun_rat_rat > rat ).

tff(func_def_1483,type,
    sK515: fun_rat_fun_rat_rat > rat ).

tff(func_def_1484,type,
    sK516: fun_nat_fun_nat_nat > nat ).

tff(func_def_1485,type,
    sK517: fun_nat_fun_nat_nat > nat ).

tff(func_def_1486,type,
    sK518: fun_nat_fun_nat_nat > nat ).

tff(func_def_1487,type,
    sK519: fun_nat_fun_nat_nat > nat ).

tff(func_def_1488,type,
    sK520: fun_nat_fun_nat_nat > nat ).

tff(func_def_1489,type,
    sK521: fun_nat_fun_nat_nat > nat ).

tff(func_def_1490,type,
    sK522: fun_nat_fun_nat_nat > nat ).

tff(func_def_1491,type,
    sK523: fun_int_fun_int_int > int ).

tff(func_def_1492,type,
    sK524: fun_int_fun_int_int > int ).

tff(func_def_1493,type,
    sK525: fun_int_fun_int_int > int ).

tff(func_def_1494,type,
    sK526: fun_int_fun_int_int > int ).

tff(func_def_1495,type,
    sK527: fun_int_fun_int_int > int ).

tff(func_def_1496,type,
    sK528: fun_int_fun_int_int > int ).

tff(func_def_1497,type,
    sK529: fun_int_fun_int_int > int ).

tff(func_def_1498,type,
    sK530: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_1499,type,
    sK531: ( set_nat * set_nat * set_nat ) > set_nat ).

tff(func_def_1500,type,
    sK532: ( set_bool * set_bool * set_bool ) > set_bool ).

tff(func_def_1501,type,
    sK533: ( set_bool * set_bool * set_bool ) > set_bool ).

tff(func_def_1502,type,
    sK534: ( set_int * set_int * set_int ) > set_int ).

tff(func_def_1503,type,
    sK535: ( set_int * set_int * set_int ) > set_int ).

tff(func_def_1504,type,
    sK536: set_nat > nat ).

tff(func_def_1505,type,
    sK537: set_nat > nat ).

tff(func_def_1506,type,
    sK538: set_int > int ).

tff(func_def_1507,type,
    sK539: set_int > int ).

tff(func_def_1508,type,
    sK540: set_bool > bool ).

tff(func_def_1509,type,
    sK541: set_bool > bool ).

tff(func_def_1510,type,
    sK542: set_set_nat > set_nat ).

tff(func_def_1511,type,
    sK543: set_set_nat > set_nat ).

tff(func_def_1512,type,
    sK544: set_real > real ).

tff(func_def_1513,type,
    sK545: set_real > real ).

tff(func_def_1514,type,
    sK546: set_Extended_enat > extended_enat ).

tff(func_def_1515,type,
    sK547: set_Extended_enat > extended_enat ).

tff(func_def_1516,type,
    sK548: set_nat > nat ).

tff(func_def_1517,type,
    sK549: set_bool > bool ).

tff(func_def_1518,type,
    sK550: set_set_nat > set_nat ).

tff(func_def_1519,type,
    sK551: set_real > real ).

tff(func_def_1520,type,
    sK552: set_Extended_enat > extended_enat ).

tff(func_def_1521,type,
    sK553: set_int > int ).

tff(func_def_1522,type,
    sK554: ( set_complex * fun_set_complex_bool ) > complex ).

tff(func_def_1523,type,
    sK555: ( set_complex * fun_set_complex_bool ) > set_complex ).

tff(func_def_1524,type,
    sK556: ( set_nat * fun_set_nat_bool ) > nat ).

tff(func_def_1525,type,
    sK557: ( set_nat * fun_set_nat_bool ) > set_nat ).

tff(func_def_1526,type,
    sK558: ( set_bool * fun_set_bool_bool ) > bool ).

tff(func_def_1527,type,
    sK559: ( set_bool * fun_set_bool_bool ) > set_bool ).

tff(func_def_1528,type,
    sK560: ( set_set_nat * fun_set_set_nat_bool ) > set_nat ).

tff(func_def_1529,type,
    sK561: ( set_set_nat * fun_set_set_nat_bool ) > set_set_nat ).

tff(func_def_1530,type,
    sK562: ( set_real * fun_set_real_bool ) > real ).

tff(func_def_1531,type,
    sK563: ( set_real * fun_set_real_bool ) > set_real ).

tff(func_def_1532,type,
    sK564: ( set_Extended_enat * fun_se2015444840911768724t_bool ) > extended_enat ).

tff(func_def_1533,type,
    sK565: ( set_Extended_enat * fun_se2015444840911768724t_bool ) > set_Extended_enat ).

tff(func_def_1534,type,
    sK566: ( set_int * fun_set_int_bool ) > int ).

tff(func_def_1535,type,
    sK567: ( set_int * fun_set_int_bool ) > set_int ).

tff(func_def_1536,type,
    sK568: ( set_complex * fun_set_complex_bool ) > complex ).

tff(func_def_1537,type,
    sK569: ( set_complex * fun_set_complex_bool ) > set_complex ).

tff(func_def_1538,type,
    sK570: ( set_nat * fun_set_nat_bool ) > nat ).

tff(func_def_1539,type,
    sK571: ( set_nat * fun_set_nat_bool ) > set_nat ).

tff(func_def_1540,type,
    sK572: ( set_bool * fun_set_bool_bool ) > bool ).

tff(func_def_1541,type,
    sK573: ( set_bool * fun_set_bool_bool ) > set_bool ).

tff(func_def_1542,type,
    sK574: ( set_set_nat * fun_set_set_nat_bool ) > set_nat ).

tff(func_def_1543,type,
    sK575: ( set_set_nat * fun_set_set_nat_bool ) > set_set_nat ).

tff(func_def_1544,type,
    sK576: ( set_real * fun_set_real_bool ) > real ).

tff(func_def_1545,type,
    sK577: ( set_real * fun_set_real_bool ) > set_real ).

tff(func_def_1546,type,
    sK578: ( set_Extended_enat * fun_se2015444840911768724t_bool ) > extended_enat ).

tff(func_def_1547,type,
    sK579: ( set_Extended_enat * fun_se2015444840911768724t_bool ) > set_Extended_enat ).

tff(func_def_1548,type,
    sK580: ( set_int * fun_set_int_bool ) > int ).

tff(func_def_1549,type,
    sK581: ( set_int * fun_set_int_bool ) > set_int ).

tff(func_def_1550,type,
    sK582: ( fun_set_complex_bool * fun_complex_rat ) > complex ).

tff(func_def_1551,type,
    sK583: ( fun_set_complex_bool * fun_complex_rat ) > set_complex ).

tff(func_def_1552,type,
    sK584: ( fun_set_nat_bool * fun_nat_rat ) > nat ).

tff(func_def_1553,type,
    sK585: ( fun_set_nat_bool * fun_nat_rat ) > set_nat ).

tff(func_def_1554,type,
    sK586: ( fun_set_int_bool * fun_int_rat ) > int ).

tff(func_def_1555,type,
    sK587: ( fun_set_int_bool * fun_int_rat ) > set_int ).

tff(func_def_1556,type,
    sK588: ( fun_set_bool_bool * fun_bool_rat ) > bool ).

tff(func_def_1557,type,
    sK589: ( fun_set_bool_bool * fun_bool_rat ) > set_bool ).

tff(func_def_1558,type,
    sK590: ( fun_set_real_bool * fun_real_rat ) > real ).

tff(func_def_1559,type,
    sK591: ( fun_set_real_bool * fun_real_rat ) > set_real ).

tff(func_def_1560,type,
    sK592: ( fun_se2015444840911768724t_bool * fun_Ex4152069839811072081at_rat ) > extended_enat ).

tff(func_def_1561,type,
    sK593: ( fun_se2015444840911768724t_bool * fun_Ex4152069839811072081at_rat ) > set_Extended_enat ).

tff(func_def_1562,type,
    sK594: ( fun_set_complex_bool * fun_complex_num ) > complex ).

tff(func_def_1563,type,
    sK595: ( fun_set_complex_bool * fun_complex_num ) > set_complex ).

tff(func_def_1564,type,
    sK596: ( fun_set_nat_bool * fun_nat_num ) > nat ).

tff(func_def_1565,type,
    sK597: ( fun_set_nat_bool * fun_nat_num ) > set_nat ).

tff(func_def_1566,type,
    sK598: ( fun_set_int_bool * fun_int_num ) > int ).

tff(func_def_1567,type,
    sK599: ( fun_set_int_bool * fun_int_num ) > set_int ).

tff(func_def_1568,type,
    sK600: ( fun_set_bool_bool * fun_bool_num ) > bool ).

tff(func_def_1569,type,
    sK601: ( fun_set_bool_bool * fun_bool_num ) > set_bool ).

tff(func_def_1570,type,
    sK602: vEBT_VEBT > nat ).

tff(func_def_1571,type,
    sK603: fun_set_complex_bool > complex ).

tff(func_def_1572,type,
    sK604: fun_set_complex_bool > set_complex ).

tff(func_def_1573,type,
    sK605: fun_set_complex_bool > set_complex ).

tff(func_def_1574,type,
    sK606: fun_set_nat_bool > nat ).

tff(func_def_1575,type,
    sK607: fun_set_nat_bool > set_nat ).

tff(func_def_1576,type,
    sK608: fun_set_nat_bool > set_nat ).

tff(func_def_1577,type,
    sK609: fun_set_int_bool > int ).

tff(func_def_1578,type,
    sK610: fun_set_int_bool > set_int ).

tff(func_def_1579,type,
    sK611: fun_set_int_bool > set_int ).

tff(func_def_1580,type,
    sK612: fun_set_bool_bool > bool ).

tff(func_def_1581,type,
    sK613: fun_set_bool_bool > set_bool ).

tff(func_def_1582,type,
    sK614: fun_set_bool_bool > set_bool ).

tff(func_def_1583,type,
    sK615: fun_set_set_nat_bool > set_nat ).

tff(func_def_1584,type,
    sK616: fun_set_set_nat_bool > set_set_nat ).

tff(func_def_1585,type,
    sK617: fun_set_set_nat_bool > set_set_nat ).

tff(func_def_1586,type,
    sK618: fun_set_real_bool > real ).

tff(func_def_1587,type,
    sK619: fun_set_real_bool > set_real ).

tff(func_def_1588,type,
    sK620: fun_set_real_bool > set_real ).

tff(func_def_1589,type,
    sK621: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_1590,type,
    sK622: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_1591,type,
    sK623: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_1592,type,
    sK624: fun_set_complex_bool > complex ).

tff(func_def_1593,type,
    sK625: fun_set_complex_bool > set_complex ).

tff(func_def_1594,type,
    sK626: fun_set_complex_bool > complex ).

tff(func_def_1595,type,
    sK627: fun_set_nat_bool > nat ).

tff(func_def_1596,type,
    sK628: fun_set_nat_bool > set_nat ).

tff(func_def_1597,type,
    sK629: fun_set_nat_bool > nat ).

tff(func_def_1598,type,
    sK630: fun_set_int_bool > int ).

tff(func_def_1599,type,
    sK631: fun_set_int_bool > set_int ).

tff(func_def_1600,type,
    sK632: fun_set_int_bool > int ).

tff(func_def_1601,type,
    sK633: fun_set_bool_bool > bool ).

tff(func_def_1602,type,
    sK634: fun_set_bool_bool > set_bool ).

tff(func_def_1603,type,
    sK635: fun_set_bool_bool > bool ).

tff(func_def_1604,type,
    sK636: fun_set_set_nat_bool > set_nat ).

tff(func_def_1605,type,
    sK637: fun_set_set_nat_bool > set_set_nat ).

tff(func_def_1606,type,
    sK638: fun_set_set_nat_bool > set_nat ).

tff(func_def_1607,type,
    sK639: fun_set_real_bool > real ).

tff(func_def_1608,type,
    sK640: fun_set_real_bool > set_real ).

tff(func_def_1609,type,
    sK641: fun_set_real_bool > real ).

tff(func_def_1610,type,
    sK642: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_1611,type,
    sK643: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_1612,type,
    sK644: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_1613,type,
    sK645: fun_set_complex_bool > complex ).

tff(func_def_1614,type,
    sK646: fun_set_complex_bool > set_complex ).

tff(func_def_1615,type,
    sK647: fun_set_nat_bool > nat ).

tff(func_def_1616,type,
    sK648: fun_set_nat_bool > set_nat ).

tff(func_def_1617,type,
    sK649: fun_set_int_bool > int ).

tff(func_def_1618,type,
    sK650: fun_set_int_bool > set_int ).

tff(func_def_1619,type,
    sK651: fun_set_bool_bool > bool ).

tff(func_def_1620,type,
    sK652: fun_set_bool_bool > set_bool ).

tff(func_def_1621,type,
    sK653: fun_set_set_nat_bool > set_nat ).

tff(func_def_1622,type,
    sK654: fun_set_set_nat_bool > set_set_nat ).

tff(func_def_1623,type,
    sK655: fun_set_real_bool > real ).

tff(func_def_1624,type,
    sK656: fun_set_real_bool > set_real ).

tff(func_def_1625,type,
    sK657: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_1626,type,
    sK658: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_1627,type,
    sK659: ( set_real * real ) > real ).

tff(func_def_1628,type,
    sK660: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_1629,type,
    sK661: ( set_bool * bool ) > bool ).

tff(func_def_1630,type,
    sK662: ( set_Extended_enat * extended_enat ) > extended_enat ).

tff(func_def_1631,type,
    sK663: ( set_set_int * set_int ) > set_int ).

tff(func_def_1632,type,
    sK664: ( set_rat * rat ) > rat ).

tff(func_def_1633,type,
    sK665: ( set_num * num ) > num ).

tff(func_def_1634,type,
    sK666: ( set_nat * nat ) > nat ).

tff(func_def_1635,type,
    sK667: ( set_int * int ) > int ).

tff(func_def_1636,type,
    sK668: ( set_real * real ) > real ).

tff(func_def_1637,type,
    sK669: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_1638,type,
    sK670: ( set_bool * bool ) > bool ).

tff(func_def_1639,type,
    sK671: ( set_Extended_enat * extended_enat ) > extended_enat ).

tff(func_def_1640,type,
    sK672: ( set_set_int * set_int ) > set_int ).

tff(func_def_1641,type,
    sK673: ( set_rat * rat ) > rat ).

tff(func_def_1642,type,
    sK674: ( set_num * num ) > num ).

tff(func_def_1643,type,
    sK675: ( set_nat * nat ) > nat ).

tff(func_def_1644,type,
    sK676: ( set_int * int ) > int ).

tff(func_def_1645,type,
    sK677: set_bool > bool ).

tff(func_def_1646,type,
    sK678: set_set_nat > set_nat ).

tff(func_def_1647,type,
    sK679: set_real > real ).

tff(func_def_1648,type,
    sK680: set_Extended_enat > extended_enat ).

tff(func_def_1649,type,
    sK681: set_set_int > set_int ).

tff(func_def_1650,type,
    sK682: set_rat > rat ).

tff(func_def_1651,type,
    sK683: set_num > num ).

tff(func_def_1652,type,
    sK684: set_nat > nat ).

tff(func_def_1653,type,
    sK685: set_int > int ).

tff(func_def_1654,type,
    sK686: set_bool > bool ).

tff(func_def_1655,type,
    sK687: set_set_nat > set_nat ).

tff(func_def_1656,type,
    sK688: set_real > real ).

tff(func_def_1657,type,
    sK689: set_Extended_enat > extended_enat ).

tff(func_def_1658,type,
    sK690: set_set_int > set_int ).

tff(func_def_1659,type,
    sK691: set_rat > rat ).

tff(func_def_1660,type,
    sK692: set_num > num ).

tff(func_def_1661,type,
    sK693: set_nat > nat ).

tff(func_def_1662,type,
    sK694: set_int > int ).

tff(func_def_1663,type,
    sK695: set_complex > set_complex ).

tff(func_def_1664,type,
    sK696: set_complex > complex ).

tff(func_def_1665,type,
    sK697: set_nat > set_nat ).

tff(func_def_1666,type,
    sK698: set_nat > nat ).

tff(func_def_1667,type,
    sK699: set_int > set_int ).

tff(func_def_1668,type,
    sK700: set_int > int ).

tff(func_def_1669,type,
    sK701: set_bool > set_bool ).

tff(func_def_1670,type,
    sK702: set_bool > bool ).

tff(func_def_1671,type,
    sK703: set_set_nat > set_set_nat ).

tff(func_def_1672,type,
    sK704: set_set_nat > set_nat ).

tff(func_def_1673,type,
    sK705: set_real > set_real ).

tff(func_def_1674,type,
    sK706: set_real > real ).

tff(func_def_1675,type,
    sK707: set_Extended_enat > set_Extended_enat ).

tff(func_def_1676,type,
    sK708: set_Extended_enat > extended_enat ).

tff(func_def_1677,type,
    sK709: set_complex > set_complex ).

tff(func_def_1678,type,
    sK710: set_complex > complex ).

tff(func_def_1679,type,
    sK711: set_nat > set_nat ).

tff(func_def_1680,type,
    sK712: set_nat > nat ).

tff(func_def_1681,type,
    sK713: set_int > set_int ).

tff(func_def_1682,type,
    sK714: set_int > int ).

tff(func_def_1683,type,
    sK715: set_bool > set_bool ).

tff(func_def_1684,type,
    sK716: set_bool > bool ).

tff(func_def_1685,type,
    sK717: set_set_nat > set_set_nat ).

tff(func_def_1686,type,
    sK718: set_set_nat > set_nat ).

tff(func_def_1687,type,
    sK719: set_real > set_real ).

tff(func_def_1688,type,
    sK720: set_real > real ).

tff(func_def_1689,type,
    sK721: set_Extended_enat > set_Extended_enat ).

tff(func_def_1690,type,
    sK722: set_Extended_enat > extended_enat ).

tff(func_def_1691,type,
    sK723: ( set_complex * fun_co1378794544173401837x_bool ) > complex ).

tff(func_def_1692,type,
    sK724: fun_co1378794544173401837x_bool > complex ).

tff(func_def_1693,type,
    sK725: fun_co1378794544173401837x_bool > complex ).

tff(func_def_1694,type,
    sK726: fun_co1378794544173401837x_bool > complex ).

tff(func_def_1695,type,
    sK727: fun_co1378794544173401837x_bool > complex ).

tff(func_def_1696,type,
    sK728: ( set_nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_1697,type,
    sK729: fun_nat_fun_nat_bool > nat ).

tff(func_def_1698,type,
    sK730: fun_nat_fun_nat_bool > nat ).

tff(func_def_1699,type,
    sK731: fun_nat_fun_nat_bool > nat ).

tff(func_def_1700,type,
    sK732: fun_nat_fun_nat_bool > nat ).

tff(func_def_1701,type,
    sK733: ( set_int * fun_int_fun_int_bool ) > int ).

tff(func_def_1702,type,
    sK734: fun_int_fun_int_bool > int ).

tff(func_def_1703,type,
    sK735: fun_int_fun_int_bool > int ).

tff(func_def_1704,type,
    sK736: fun_int_fun_int_bool > int ).

tff(func_def_1705,type,
    sK737: fun_int_fun_int_bool > int ).

tff(func_def_1706,type,
    sK738: ( set_bool * fun_bo1841576699660343469l_bool ) > bool ).

tff(func_def_1707,type,
    sK739: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_1708,type,
    sK740: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_1709,type,
    sK741: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_1710,type,
    sK742: fun_bo1841576699660343469l_bool > bool ).

tff(func_def_1711,type,
    sK743: ( set_set_nat * fun_se707272970763642173t_bool ) > set_nat ).

tff(func_def_1712,type,
    sK744: fun_se707272970763642173t_bool > set_nat ).

tff(func_def_1713,type,
    sK745: fun_se707272970763642173t_bool > set_nat ).

tff(func_def_1714,type,
    sK746: fun_se707272970763642173t_bool > set_nat ).

tff(func_def_1715,type,
    sK747: fun_se707272970763642173t_bool > set_nat ).

tff(func_def_1716,type,
    sK748: ( set_real * fun_re1255401033344146673l_bool ) > real ).

tff(func_def_1717,type,
    sK749: fun_re1255401033344146673l_bool > real ).

tff(func_def_1718,type,
    sK750: fun_re1255401033344146673l_bool > real ).

tff(func_def_1719,type,
    sK751: fun_re1255401033344146673l_bool > real ).

tff(func_def_1720,type,
    sK752: fun_re1255401033344146673l_bool > real ).

tff(func_def_1721,type,
    sK753: ( set_Extended_enat * fun_Ex8598408993869023341t_bool ) > extended_enat ).

tff(func_def_1722,type,
    sK754: fun_Ex8598408993869023341t_bool > extended_enat ).

tff(func_def_1723,type,
    sK755: fun_Ex8598408993869023341t_bool > extended_enat ).

tff(func_def_1724,type,
    sK756: fun_Ex8598408993869023341t_bool > extended_enat ).

tff(func_def_1725,type,
    sK757: fun_Ex8598408993869023341t_bool > extended_enat ).

tff(func_def_1726,type,
    sK758: fun_real_real > real ).

tff(func_def_1727,type,
    sK759: fun_real_real > real ).

tff(func_def_1728,type,
    sK760: fun_real_rat > real ).

tff(func_def_1729,type,
    sK761: fun_real_rat > real ).

tff(func_def_1730,type,
    sK762: fun_real_num > real ).

tff(func_def_1731,type,
    sK763: fun_real_num > real ).

tff(func_def_1732,type,
    sK764: fun_real_nat > real ).

tff(func_def_1733,type,
    sK765: fun_real_nat > real ).

tff(func_def_1734,type,
    sK766: fun_real_int > real ).

tff(func_def_1735,type,
    sK767: fun_real_int > real ).

tff(func_def_1736,type,
    sK768: fun_rat_real > rat ).

tff(func_def_1737,type,
    sK769: fun_rat_real > rat ).

tff(func_def_1738,type,
    sK770: fun_rat_rat > rat ).

tff(func_def_1739,type,
    sK771: fun_rat_rat > rat ).

tff(func_def_1740,type,
    sK772: fun_rat_num > rat ).

tff(func_def_1741,type,
    sK773: fun_rat_num > rat ).

tff(func_def_1742,type,
    sK774: fun_rat_nat > rat ).

tff(func_def_1743,type,
    sK775: fun_rat_nat > rat ).

tff(func_def_1744,type,
    sK776: fun_rat_int > rat ).

tff(func_def_1745,type,
    sK777: fun_rat_int > rat ).

tff(func_def_1746,type,
    sK778: fun_real_real > real ).

tff(func_def_1747,type,
    sK779: fun_real_real > real ).

tff(func_def_1748,type,
    sK780: fun_rat_real > rat ).

tff(func_def_1749,type,
    sK781: fun_rat_real > rat ).

tff(func_def_1750,type,
    sK782: fun_num_real > num ).

tff(func_def_1751,type,
    sK783: fun_num_real > num ).

tff(func_def_1752,type,
    sK784: fun_nat_real > nat ).

tff(func_def_1753,type,
    sK785: fun_nat_real > nat ).

tff(func_def_1754,type,
    sK786: fun_int_real > int ).

tff(func_def_1755,type,
    sK787: fun_int_real > int ).

tff(func_def_1756,type,
    sK788: fun_real_rat > real ).

tff(func_def_1757,type,
    sK789: fun_real_rat > real ).

tff(func_def_1758,type,
    sK790: fun_rat_rat > rat ).

tff(func_def_1759,type,
    sK791: fun_rat_rat > rat ).

tff(func_def_1760,type,
    sK792: fun_num_rat > num ).

tff(func_def_1761,type,
    sK793: fun_num_rat > num ).

tff(func_def_1762,type,
    sK794: fun_nat_rat > nat ).

tff(func_def_1763,type,
    sK795: fun_nat_rat > nat ).

tff(func_def_1764,type,
    sK796: fun_int_rat > int ).

tff(func_def_1765,type,
    sK797: fun_int_rat > int ).

tff(func_def_1766,type,
    sK798: fun_real_real > real ).

tff(func_def_1767,type,
    sK799: fun_real_real > real ).

tff(func_def_1768,type,
    sK800: fun_real_rat > real ).

tff(func_def_1769,type,
    sK801: fun_real_rat > real ).

tff(func_def_1770,type,
    sK802: fun_real_num > real ).

tff(func_def_1771,type,
    sK803: fun_real_num > real ).

tff(func_def_1772,type,
    sK804: fun_real_nat > real ).

tff(func_def_1773,type,
    sK805: fun_real_nat > real ).

tff(func_def_1774,type,
    sK806: fun_real_int > real ).

tff(func_def_1775,type,
    sK807: fun_real_int > real ).

tff(func_def_1776,type,
    sK808: fun_rat_real > rat ).

tff(func_def_1777,type,
    sK809: fun_rat_real > rat ).

tff(func_def_1778,type,
    sK810: fun_rat_rat > rat ).

tff(func_def_1779,type,
    sK811: fun_rat_rat > rat ).

tff(func_def_1780,type,
    sK812: fun_rat_num > rat ).

tff(func_def_1781,type,
    sK813: fun_rat_num > rat ).

tff(func_def_1782,type,
    sK814: fun_rat_nat > rat ).

tff(func_def_1783,type,
    sK815: fun_rat_nat > rat ).

tff(func_def_1784,type,
    sK816: fun_rat_int > rat ).

tff(func_def_1785,type,
    sK817: fun_rat_int > rat ).

tff(func_def_1786,type,
    sK818: fun_real_real > real ).

tff(func_def_1787,type,
    sK819: fun_real_real > real ).

tff(func_def_1788,type,
    sK820: fun_real_rat > real ).

tff(func_def_1789,type,
    sK821: fun_real_rat > real ).

tff(func_def_1790,type,
    sK822: fun_real_num > real ).

tff(func_def_1791,type,
    sK823: fun_real_num > real ).

tff(func_def_1792,type,
    sK824: fun_real_nat > real ).

tff(func_def_1793,type,
    sK825: fun_real_nat > real ).

tff(func_def_1794,type,
    sK826: fun_real_int > real ).

tff(func_def_1795,type,
    sK827: fun_real_int > real ).

tff(func_def_1796,type,
    sK828: fun_rat_real > rat ).

tff(func_def_1797,type,
    sK829: fun_rat_real > rat ).

tff(func_def_1798,type,
    sK830: fun_rat_rat > rat ).

tff(func_def_1799,type,
    sK831: fun_rat_rat > rat ).

tff(func_def_1800,type,
    sK832: fun_rat_num > rat ).

tff(func_def_1801,type,
    sK833: fun_rat_num > rat ).

tff(func_def_1802,type,
    sK834: fun_rat_nat > rat ).

tff(func_def_1803,type,
    sK835: fun_rat_nat > rat ).

tff(func_def_1804,type,
    sK836: fun_rat_int > rat ).

tff(func_def_1805,type,
    sK837: fun_rat_int > rat ).

tff(func_def_1806,type,
    sK838: fun_re1255401033344146673l_bool > real ).

tff(func_def_1807,type,
    sK839: fun_re1255401033344146673l_bool > real ).

tff(func_def_1808,type,
    sK840: fun_re1255401033344146673l_bool > real ).

tff(func_def_1809,type,
    sK841: fun_re1255401033344146673l_bool > real ).

tff(func_def_1810,type,
    sK842: fun_re1255401033344146673l_bool > real ).

tff(func_def_1811,type,
    sK843: fun_rat_fun_rat_bool > rat ).

tff(func_def_1812,type,
    sK844: fun_rat_fun_rat_bool > rat ).

tff(func_def_1813,type,
    sK845: fun_rat_fun_rat_bool > rat ).

tff(func_def_1814,type,
    sK846: fun_rat_fun_rat_bool > rat ).

tff(func_def_1815,type,
    sK847: fun_rat_fun_rat_bool > rat ).

tff(func_def_1816,type,
    sK848: fun_num_fun_num_bool > num ).

tff(func_def_1817,type,
    sK849: fun_num_fun_num_bool > num ).

tff(func_def_1818,type,
    sK850: fun_num_fun_num_bool > num ).

tff(func_def_1819,type,
    sK851: fun_num_fun_num_bool > num ).

tff(func_def_1820,type,
    sK852: fun_num_fun_num_bool > num ).

tff(func_def_1821,type,
    sK853: fun_nat_fun_nat_bool > nat ).

tff(func_def_1822,type,
    sK854: fun_nat_fun_nat_bool > nat ).

tff(func_def_1823,type,
    sK855: fun_nat_fun_nat_bool > nat ).

tff(func_def_1824,type,
    sK856: fun_nat_fun_nat_bool > nat ).

tff(func_def_1825,type,
    sK857: fun_nat_fun_nat_bool > nat ).

tff(func_def_1826,type,
    sK858: fun_int_fun_int_bool > int ).

tff(func_def_1827,type,
    sK859: fun_int_fun_int_bool > int ).

tff(func_def_1828,type,
    sK860: fun_int_fun_int_bool > int ).

tff(func_def_1829,type,
    sK861: fun_int_fun_int_bool > int ).

tff(func_def_1830,type,
    sK862: fun_int_fun_int_bool > int ).

tff(func_def_1831,type,
    sK863: fun_nat_bool > nat ).

tff(func_def_1832,type,
    sK864: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1833,type,
    sK865: fun_nat_bool > nat ).

tff(func_def_1834,type,
    sK866: fun_nat_bool > nat ).

tff(func_def_1835,type,
    sK867: ( real * real ) > real ).

tff(func_def_1836,type,
    sK868: ( rat * rat ) > rat ).

tff(func_def_1837,type,
    sK869: real > real ).

tff(func_def_1838,type,
    sK870: rat > rat ).

tff(func_def_1839,type,
    sK871: nat > nat ).

tff(func_def_1840,type,
    sK872: int > int ).

tff(func_def_1841,type,
    sK873: real > real ).

tff(func_def_1842,type,
    sK874: rat > rat ).

tff(func_def_1843,type,
    sK875: int > int ).

tff(func_def_1844,type,
    sK876: fun_nat_bool > nat ).

tff(func_def_1845,type,
    sK877: fun_nat_bool > nat ).

tff(func_def_1846,type,
    sK878: fun_nat_bool > nat ).

tff(func_def_1847,type,
    sK879: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1848,type,
    sK880: fun_nat_nat > nat ).

tff(func_def_1849,type,
    sK881: fun_nat_nat > nat ).

tff(func_def_1850,type,
    sK882: ( fun_nat_bool * nat ) > nat ).

tff(func_def_1851,type,
    sK883: fun_nat_bool > nat ).

tff(func_def_1852,type,
    sK884: ( nat * set_nat ) > nat ).

tff(func_def_1853,type,
    sK885: set_nat > nat ).

tff(func_def_1854,type,
    sK886: ( set_nat * nat ) > nat ).

tff(func_def_1855,type,
    sK887: ( real * real ) > real ).

tff(func_def_1856,type,
    sK888: ( rat * rat ) > rat ).

tff(func_def_1857,type,
    sK889: ( real * real ) > real ).

tff(func_def_1858,type,
    sK890: ( rat * rat ) > rat ).

tff(func_def_1859,type,
    sK891: ( real * real * real ) > real ).

tff(func_def_1860,type,
    sK892: ( rat * rat * rat ) > rat ).

tff(func_def_1861,type,
    sK893: ( real * real * real ) > real ).

tff(func_def_1862,type,
    sK894: ( rat * rat * rat ) > rat ).

tff(func_def_1863,type,
    sK895: fun_real_real > real ).

tff(func_def_1864,type,
    sK896: fun_real_real > real ).

tff(func_def_1865,type,
    sK897: fun_rat_real > rat ).

tff(func_def_1866,type,
    sK898: fun_rat_real > rat ).

tff(func_def_1867,type,
    sK899: fun_num_real > num ).

tff(func_def_1868,type,
    sK900: fun_num_real > num ).

tff(func_def_1869,type,
    sK901: fun_nat_real > nat ).

tff(func_def_1870,type,
    sK902: fun_nat_real > nat ).

tff(func_def_1871,type,
    sK903: fun_int_real > int ).

tff(func_def_1872,type,
    sK904: fun_int_real > int ).

tff(func_def_1873,type,
    sK905: fun_real_rat > real ).

tff(func_def_1874,type,
    sK906: fun_real_rat > real ).

tff(func_def_1875,type,
    sK907: fun_rat_rat > rat ).

tff(func_def_1876,type,
    sK908: fun_rat_rat > rat ).

tff(func_def_1877,type,
    sK909: fun_num_rat > num ).

tff(func_def_1878,type,
    sK910: fun_num_rat > num ).

tff(func_def_1879,type,
    sK911: fun_nat_rat > nat ).

tff(func_def_1880,type,
    sK912: fun_nat_rat > nat ).

tff(func_def_1881,type,
    sK913: fun_int_rat > int ).

tff(func_def_1882,type,
    sK914: fun_int_rat > int ).

tff(func_def_1883,type,
    sK915: fun_rat_real > rat ).

tff(func_def_1884,type,
    sK916: fun_rat_real > rat ).

tff(func_def_1885,type,
    sK917: fun_rat_rat > rat ).

tff(func_def_1886,type,
    sK918: fun_rat_rat > rat ).

tff(func_def_1887,type,
    sK919: fun_rat_num > rat ).

tff(func_def_1888,type,
    sK920: fun_rat_num > rat ).

tff(func_def_1889,type,
    sK921: fun_rat_nat > rat ).

tff(func_def_1890,type,
    sK922: fun_rat_nat > rat ).

tff(func_def_1891,type,
    sK923: fun_rat_int > rat ).

tff(func_def_1892,type,
    sK924: fun_rat_int > rat ).

tff(func_def_1893,type,
    sK925: fun_num_real > num ).

tff(func_def_1894,type,
    sK926: fun_num_real > num ).

tff(func_def_1895,type,
    sK927: fun_num_rat > num ).

tff(func_def_1896,type,
    sK928: fun_num_rat > num ).

tff(func_def_1897,type,
    sK929: fun_num_num > num ).

tff(func_def_1898,type,
    sK930: fun_num_num > num ).

tff(func_def_1899,type,
    sK931: fun_num_nat > num ).

tff(func_def_1900,type,
    sK932: fun_num_nat > num ).

tff(func_def_1901,type,
    sK933: fun_num_int > num ).

tff(func_def_1902,type,
    sK934: fun_num_int > num ).

tff(func_def_1903,type,
    sK935: fun_rat_real > rat ).

tff(func_def_1904,type,
    sK936: fun_rat_real > rat ).

tff(func_def_1905,type,
    sK937: fun_rat_rat > rat ).

tff(func_def_1906,type,
    sK938: fun_rat_rat > rat ).

tff(func_def_1907,type,
    sK939: fun_rat_num > rat ).

tff(func_def_1908,type,
    sK940: fun_rat_num > rat ).

tff(func_def_1909,type,
    sK941: fun_rat_nat > rat ).

tff(func_def_1910,type,
    sK942: fun_rat_nat > rat ).

tff(func_def_1911,type,
    sK943: fun_rat_int > rat ).

tff(func_def_1912,type,
    sK944: fun_rat_int > rat ).

tff(func_def_1913,type,
    sK945: fun_num_real > num ).

tff(func_def_1914,type,
    sK946: fun_num_real > num ).

tff(func_def_1915,type,
    sK947: fun_num_rat > num ).

tff(func_def_1916,type,
    sK948: fun_num_rat > num ).

tff(func_def_1917,type,
    sK949: fun_num_num > num ).

tff(func_def_1918,type,
    sK950: fun_num_num > num ).

tff(func_def_1919,type,
    sK951: fun_num_nat > num ).

tff(func_def_1920,type,
    sK952: fun_num_nat > num ).

tff(func_def_1921,type,
    sK953: fun_num_int > num ).

tff(func_def_1922,type,
    sK954: fun_num_int > num ).

tff(func_def_1923,type,
    sK955: fun_real_real > real ).

tff(func_def_1924,type,
    sK956: fun_real_real > real ).

tff(func_def_1925,type,
    sK957: fun_rat_real > rat ).

tff(func_def_1926,type,
    sK958: fun_rat_real > rat ).

tff(func_def_1927,type,
    sK959: fun_num_real > num ).

tff(func_def_1928,type,
    sK960: fun_num_real > num ).

tff(func_def_1929,type,
    sK961: fun_nat_real > nat ).

tff(func_def_1930,type,
    sK962: fun_nat_real > nat ).

tff(func_def_1931,type,
    sK963: fun_int_real > int ).

tff(func_def_1932,type,
    sK964: fun_int_real > int ).

tff(func_def_1933,type,
    sK965: fun_real_rat > real ).

tff(func_def_1934,type,
    sK966: fun_real_rat > real ).

tff(func_def_1935,type,
    sK967: fun_rat_rat > rat ).

tff(func_def_1936,type,
    sK968: fun_rat_rat > rat ).

tff(func_def_1937,type,
    sK969: fun_num_rat > num ).

tff(func_def_1938,type,
    sK970: fun_num_rat > num ).

tff(func_def_1939,type,
    sK971: fun_nat_rat > nat ).

tff(func_def_1940,type,
    sK972: fun_nat_rat > nat ).

tff(func_def_1941,type,
    sK973: fun_int_rat > int ).

tff(func_def_1942,type,
    sK974: fun_int_rat > int ).

tff(func_def_1943,type,
    sK975: set_bool > bool ).

tff(func_def_1944,type,
    sK976: set_Extended_enat > extended_enat ).

tff(func_def_1945,type,
    sK977: set_real > real ).

tff(func_def_1946,type,
    sK978: set_rat > rat ).

tff(func_def_1947,type,
    sK979: set_num > num ).

tff(func_def_1948,type,
    sK980: set_nat > nat ).

tff(func_def_1949,type,
    sK981: set_int > int ).

tff(func_def_1950,type,
    sK982: set_bool > bool ).

tff(func_def_1951,type,
    sK983: set_set_nat > set_nat ).

tff(func_def_1952,type,
    sK984: set_Extended_enat > extended_enat ).

tff(func_def_1953,type,
    sK985: set_real > real ).

tff(func_def_1954,type,
    sK986: set_rat > rat ).

tff(func_def_1955,type,
    sK987: set_num > num ).

tff(func_def_1956,type,
    sK988: set_nat > nat ).

tff(func_def_1957,type,
    sK989: set_int > int ).

tff(func_def_1958,type,
    sK990: fun_set_bool_bool > bool ).

tff(func_def_1959,type,
    sK991: fun_set_bool_bool > set_bool ).

tff(func_def_1960,type,
    sK992: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_1961,type,
    sK993: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_1962,type,
    sK994: fun_set_real_bool > real ).

tff(func_def_1963,type,
    sK995: fun_set_real_bool > set_real ).

tff(func_def_1964,type,
    sK996: fun_set_rat_bool > rat ).

tff(func_def_1965,type,
    sK997: fun_set_rat_bool > set_rat ).

tff(func_def_1966,type,
    sK998: fun_set_num_bool > num ).

tff(func_def_1967,type,
    sK999: fun_set_num_bool > set_num ).

tff(func_def_1968,type,
    sK1000: fun_set_nat_bool > nat ).

tff(func_def_1969,type,
    sK1001: fun_set_nat_bool > set_nat ).

tff(func_def_1970,type,
    sK1002: fun_set_int_bool > int ).

tff(func_def_1971,type,
    sK1003: fun_set_int_bool > set_int ).

tff(func_def_1972,type,
    sK1004: fun_set_bool_bool > bool ).

tff(func_def_1973,type,
    sK1005: fun_set_bool_bool > set_bool ).

tff(func_def_1974,type,
    sK1006: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_1975,type,
    sK1007: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_1976,type,
    sK1008: fun_set_real_bool > real ).

tff(func_def_1977,type,
    sK1009: fun_set_real_bool > set_real ).

tff(func_def_1978,type,
    sK1010: fun_set_rat_bool > rat ).

tff(func_def_1979,type,
    sK1011: fun_set_rat_bool > set_rat ).

tff(func_def_1980,type,
    sK1012: fun_set_num_bool > num ).

tff(func_def_1981,type,
    sK1013: fun_set_num_bool > set_num ).

tff(func_def_1982,type,
    sK1014: fun_set_nat_bool > nat ).

tff(func_def_1983,type,
    sK1015: fun_set_nat_bool > set_nat ).

tff(func_def_1984,type,
    sK1016: fun_set_int_bool > int ).

tff(func_def_1985,type,
    sK1017: fun_set_int_bool > set_int ).

tff(func_def_1986,type,
    sK1018: ( set_bool * bool ) > bool ).

tff(func_def_1987,type,
    sK1019: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_1988,type,
    sK1020: ( set_real * real ) > real ).

tff(func_def_1989,type,
    sK1021: ( set_Extended_enat * extended_enat ) > extended_enat ).

tff(func_def_1990,type,
    sK1022: ( set_set_int * set_int ) > set_int ).

tff(func_def_1991,type,
    sK1023: ( set_rat * rat ) > rat ).

tff(func_def_1992,type,
    sK1024: ( set_nat * nat ) > nat ).

tff(func_def_1993,type,
    sK1025: ( set_int * int ) > int ).

tff(func_def_1994,type,
    sK1026: ( set_bool * bool ) > bool ).

tff(func_def_1995,type,
    sK1027: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_1996,type,
    sK1028: ( set_real * real ) > real ).

tff(func_def_1997,type,
    sK1029: ( set_Extended_enat * extended_enat ) > extended_enat ).

tff(func_def_1998,type,
    sK1030: ( set_set_int * set_int ) > set_int ).

tff(func_def_1999,type,
    sK1031: ( set_rat * rat ) > rat ).

tff(func_def_2000,type,
    sK1032: ( set_nat * nat ) > nat ).

tff(func_def_2001,type,
    sK1033: ( set_int * int ) > int ).

tff(func_def_2002,type,
    sK1034: set_nat > nat ).

tff(func_def_2003,type,
    sK1035: ( set_nat * nat ) > nat ).

tff(func_def_2004,type,
    sK1036: set_int ).

tff(func_def_2005,type,
    sK1037: set_int ).

tff(func_def_2006,type,
    sK1038: nat ).

tff(func_def_2007,type,
    sK1039: nat ).

tff(func_def_2008,type,
    sK1040: int ).

tff(func_def_2009,type,
    sK1041: int ).

tff(func_def_2010,type,
    sK1042: bool ).

tff(func_def_2011,type,
    sK1043: bool ).

tff(func_def_2012,type,
    sK1044: set_nat ).

tff(func_def_2013,type,
    sK1045: set_nat ).

tff(func_def_2014,type,
    sK1046: real ).

tff(func_def_2015,type,
    sK1047: real ).

tff(func_def_2016,type,
    sK1048: extended_enat ).

tff(func_def_2017,type,
    sK1049: extended_enat ).

tff(func_def_2018,type,
    sK1050: vEBT_VEBT > bool ).

tff(func_def_2019,type,
    sK1051: vEBT_VEBT > bool ).

tff(func_def_2020,type,
    sK1052: vEBT_VEBT > bool ).

tff(func_def_2021,type,
    sK1053: vEBT_VEBT > bool ).

tff(func_def_2022,type,
    sK1054: vEBT_VEBT > bool ).

tff(func_def_2023,type,
    sK1055: vEBT_VEBT > bool ).

tff(func_def_2024,type,
    sK1056: ( set_nat * nat ) > nat ).

tff(func_def_2025,type,
    sK1057: set_nat > nat ).

tff(func_def_2026,type,
    sK1058: ( set_nat * nat ) > nat ).

tff(func_def_2027,type,
    sK1059: fun_set_nat_bool > set_nat ).

tff(func_def_2028,type,
    sK1060: fun_set_int_bool > set_int ).

tff(func_def_2029,type,
    sK1061: fun_set_complex_bool > set_complex ).

tff(func_def_2030,type,
    sK1062: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_2031,type,
    sK1063: fun_nat_bool > nat ).

tff(func_def_2032,type,
    sK1064: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2033,type,
    sK1065: ( set_nat * nat ) > nat ).

tff(func_def_2034,type,
    sK1066: set_nat > nat ).

tff(func_def_2035,type,
    sK1067: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2036,type,
    sK1068: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2037,type,
    sK1069: ( real * real ) > real ).

tff(func_def_2038,type,
    sK1070: ( rat * rat ) > rat ).

tff(func_def_2039,type,
    sK1071: ( real * real * fun_real_bool ) > real ).

tff(func_def_2040,type,
    sK1072: ( real * fun_real_bool * real ) > real ).

tff(func_def_2041,type,
    sK1073: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_2042,type,
    sK1074: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_2043,type,
    sK1075: ( int * int * fun_int_bool ) > int ).

tff(func_def_2044,type,
    sK1076: ( int * fun_int_bool * int ) > int ).

tff(func_def_2045,type,
    sK1077: real > real ).

tff(func_def_2046,type,
    sK1078: real > real ).

tff(func_def_2047,type,
    sK1079: rat > rat ).

tff(func_def_2048,type,
    sK1080: num > num ).

tff(func_def_2049,type,
    sK1081: nat > nat ).

tff(func_def_2050,type,
    sK1082: int > int ).

tff(func_def_2051,type,
    sK1083: real > real ).

tff(func_def_2052,type,
    sK1084: rat > rat ).

tff(func_def_2053,type,
    sK1085: num > num ).

tff(func_def_2054,type,
    sK1086: nat > nat ).

tff(func_def_2055,type,
    sK1087: int > int ).

tff(func_def_2056,type,
    sK1088: real > real ).

tff(func_def_2057,type,
    sK1089: rat > rat ).

tff(func_def_2058,type,
    sK1090: num > num ).

tff(func_def_2059,type,
    sK1091: nat > nat ).

tff(func_def_2060,type,
    sK1092: int > int ).

tff(func_def_2061,type,
    sK1093: real > real ).

tff(func_def_2062,type,
    sK1094: rat > rat ).

tff(func_def_2063,type,
    sK1095: num > num ).

tff(func_def_2064,type,
    sK1096: nat > nat ).

tff(func_def_2065,type,
    sK1097: int > int ).

tff(func_def_2066,type,
    sK1098: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_2067,type,
    sK1099: ( set_real * set_real ) > real ).

tff(func_def_2068,type,
    sK1100: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_2069,type,
    sK1101: ( set_int * set_int ) > int ).

tff(func_def_2070,type,
    sK1102: ( set_bool * set_bool ) > bool ).

tff(func_def_2071,type,
    sK1103: ( set_nat * set_nat ) > nat ).

tff(func_def_2072,type,
    sK1104: fun_set_complex_bool > set_complex ).

tff(func_def_2073,type,
    sK1105: fun_set_int_bool > set_int ).

tff(func_def_2074,type,
    sK1106: fun_set_bool_bool > set_bool ).

tff(func_def_2075,type,
    sK1107: fun_set_set_nat_bool > set_set_nat ).

tff(func_def_2076,type,
    sK1108: fun_set_real_bool > set_real ).

tff(func_def_2077,type,
    sK1109: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_2078,type,
    sK1110: fun_set_nat_bool > set_nat ).

tff(func_def_2079,type,
    sK1111: fun_set_complex_bool > complex ).

tff(func_def_2080,type,
    sK1112: fun_set_complex_bool > set_complex ).

tff(func_def_2081,type,
    sK1113: fun_set_int_bool > int ).

tff(func_def_2082,type,
    sK1114: fun_set_int_bool > set_int ).

tff(func_def_2083,type,
    sK1115: fun_set_bool_bool > bool ).

tff(func_def_2084,type,
    sK1116: fun_set_bool_bool > set_bool ).

tff(func_def_2085,type,
    sK1117: fun_set_set_nat_bool > set_nat ).

tff(func_def_2086,type,
    sK1118: fun_set_set_nat_bool > set_set_nat ).

tff(func_def_2087,type,
    sK1119: fun_set_real_bool > real ).

tff(func_def_2088,type,
    sK1120: fun_set_real_bool > set_real ).

tff(func_def_2089,type,
    sK1121: fun_se2015444840911768724t_bool > extended_enat ).

tff(func_def_2090,type,
    sK1122: fun_se2015444840911768724t_bool > set_Extended_enat ).

tff(func_def_2091,type,
    sK1123: fun_set_nat_bool > nat ).

tff(func_def_2092,type,
    sK1124: fun_set_nat_bool > set_nat ).

tff(func_def_2093,type,
    sK1125: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2094,type,
    sK1126: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2095,type,
    sK1127: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2096,type,
    sK1128: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2097,type,
    sK1129: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2098,type,
    sK1130: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2099,type,
    sK1131: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2100,type,
    sK1132: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2101,type,
    sK1133: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2102,type,
    sK1134: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2103,type,
    sK1135: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2104,type,
    sK1136: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2105,type,
    sK1137: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2106,type,
    sK1138: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2107,type,
    sK1139: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2108,type,
    sK1140: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2109,type,
    sK1141: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2110,type,
    sK1142: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2111,type,
    sK1143: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2112,type,
    sK1144: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2113,type,
    sK1145: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2114,type,
    sK1146: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2115,type,
    sK1147: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2116,type,
    sK1148: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2117,type,
    sK1149: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2118,type,
    sK1150: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2119,type,
    sK1151: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2120,type,
    sK1152: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2121,type,
    sK1153: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2122,type,
    sK1154: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2123,type,
    sK1155: real > real ).

tff(func_def_2124,type,
    sK1156: rat > rat ).

tff(func_def_2125,type,
    sK1157: num > num ).

tff(func_def_2126,type,
    sK1158: nat > nat ).

tff(func_def_2127,type,
    sK1159: int > int ).

tff(func_def_2128,type,
    sK1160: real > real ).

tff(func_def_2129,type,
    sK1161: rat > rat ).

tff(func_def_2130,type,
    sK1162: num > num ).

tff(func_def_2131,type,
    sK1163: nat > nat ).

tff(func_def_2132,type,
    sK1164: int > int ).

tff(func_def_2133,type,
    sK1165: real > real ).

tff(func_def_2134,type,
    sK1166: rat > rat ).

tff(func_def_2135,type,
    sK1167: num > num ).

tff(func_def_2136,type,
    sK1168: nat > nat ).

tff(func_def_2137,type,
    sK1169: int > int ).

tff(func_def_2138,type,
    sK1170: real > real ).

tff(func_def_2139,type,
    sK1171: rat > rat ).

tff(func_def_2140,type,
    sK1172: num > num ).

tff(func_def_2141,type,
    sK1173: nat > nat ).

tff(func_def_2142,type,
    sK1174: int > int ).

tff(func_def_2143,type,
    sK1175: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2144,type,
    sK1176: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2145,type,
    sK1177: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2146,type,
    sK1178: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2147,type,
    sK1179: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2148,type,
    sK1180: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2149,type,
    sK1181: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2150,type,
    sK1182: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2151,type,
    sK1183: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2152,type,
    sK1184: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2153,type,
    sK1185: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2154,type,
    sK1186: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2155,type,
    sK1187: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2156,type,
    sK1188: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2157,type,
    sK1189: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2158,type,
    sK1190: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2159,type,
    sK1191: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2160,type,
    sK1192: ( fun_real_bool * fun_real_bool * real ) > real ).

tff(func_def_2161,type,
    sK1193: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2162,type,
    sK1194: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > rat ).

tff(func_def_2163,type,
    sK1195: ( fun_rat_bool * fun_rat_bool * rat ) > rat ).

tff(func_def_2164,type,
    sK1196: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2165,type,
    sK1197: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > num ).

tff(func_def_2166,type,
    sK1198: ( fun_num_bool * fun_num_bool * num ) > num ).

tff(func_def_2167,type,
    sK1199: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2168,type,
    sK1200: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2169,type,
    sK1201: ( fun_nat_bool * fun_nat_bool * nat ) > nat ).

tff(func_def_2170,type,
    sK1202: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2171,type,
    sK1203: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2172,type,
    sK1204: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2173,type,
    sK1205: real > real ).

tff(func_def_2174,type,
    sK1206: rat > rat ).

tff(func_def_2175,type,
    sK1207: num > num ).

tff(func_def_2176,type,
    sK1208: nat > nat ).

tff(func_def_2177,type,
    sK1209: int > int ).

tff(func_def_2178,type,
    sK1210: real > real ).

tff(func_def_2179,type,
    sK1211: rat > rat ).

tff(func_def_2180,type,
    sK1212: num > num ).

tff(func_def_2181,type,
    sK1213: nat > nat ).

tff(func_def_2182,type,
    sK1214: int > int ).

tff(func_def_2183,type,
    sK1215: real > real ).

tff(func_def_2184,type,
    sK1216: rat > rat ).

tff(func_def_2185,type,
    sK1217: num > num ).

tff(func_def_2186,type,
    sK1218: nat > nat ).

tff(func_def_2187,type,
    sK1219: int > int ).

tff(func_def_2188,type,
    sK1220: real > real ).

tff(func_def_2189,type,
    sK1221: rat > rat ).

tff(func_def_2190,type,
    sK1222: num > num ).

tff(func_def_2191,type,
    sK1223: nat > nat ).

tff(func_def_2192,type,
    sK1224: int > int ).

tff(func_def_2193,type,
    sK1225: ( set_bool * bool ) > bool ).

tff(func_def_2194,type,
    sK1226: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_2195,type,
    sK1227: ( set_real * real ) > real ).

tff(func_def_2196,type,
    sK1228: ( set_Extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2197,type,
    sK1229: ( set_set_int * set_int ) > set_int ).

tff(func_def_2198,type,
    sK1230: ( set_rat * rat ) > rat ).

tff(func_def_2199,type,
    sK1231: ( set_nat * nat ) > nat ).

tff(func_def_2200,type,
    sK1232: ( set_int * int ) > int ).

tff(func_def_2201,type,
    sK1233: ( set_bool * bool ) > bool ).

tff(func_def_2202,type,
    sK1234: ( set_set_nat * set_nat ) > set_nat ).

tff(func_def_2203,type,
    sK1235: ( set_real * real ) > real ).

tff(func_def_2204,type,
    sK1236: ( set_Extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2205,type,
    sK1237: ( set_set_int * set_int ) > set_int ).

tff(func_def_2206,type,
    sK1238: ( set_rat * rat ) > rat ).

tff(func_def_2207,type,
    sK1239: ( set_nat * nat ) > nat ).

tff(func_def_2208,type,
    sK1240: ( set_int * int ) > int ).

tff(func_def_2209,type,
    sK1241: ( fun_set_complex_bool * set_complex ) > set_complex ).

tff(func_def_2210,type,
    sK1242: ( fun_set_bool_bool * set_bool ) > set_bool ).

tff(func_def_2211,type,
    sK1243: ( fun_set_set_nat_bool * set_set_nat ) > set_set_nat ).

tff(func_def_2212,type,
    sK1244: ( fun_set_real_bool * set_real ) > set_real ).

tff(func_def_2213,type,
    sK1245: ( fun_se2015444840911768724t_bool * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_2214,type,
    sK1246: ( fun_set_nat_bool * set_nat ) > set_nat ).

tff(func_def_2215,type,
    sK1247: ( fun_set_int_bool * set_int ) > set_int ).

tff(func_def_2216,type,
    sK1248: ( set_complex * fun_set_complex_bool ) > set_complex ).

tff(func_def_2217,type,
    sK1249: ( set_bool * fun_set_bool_bool ) > set_bool ).

tff(func_def_2218,type,
    sK1250: ( set_set_nat * fun_set_set_nat_bool ) > set_set_nat ).

tff(func_def_2219,type,
    sK1251: ( set_real * fun_set_real_bool ) > set_real ).

tff(func_def_2220,type,
    sK1252: ( set_Extended_enat * fun_se2015444840911768724t_bool ) > set_Extended_enat ).

tff(func_def_2221,type,
    sK1253: ( set_nat * fun_set_nat_bool ) > set_nat ).

tff(func_def_2222,type,
    sK1254: ( set_int * fun_set_int_bool ) > set_int ).

tff(func_def_2223,type,
    sK1255: ( set_complex * fun_set_complex_bool ) > set_complex ).

tff(func_def_2224,type,
    sK1256: ( set_int * fun_set_int_bool ) > set_int ).

tff(func_def_2225,type,
    sK1257: ( set_bool * fun_set_bool_bool ) > set_bool ).

tff(func_def_2226,type,
    sK1258: ( set_set_nat * fun_set_set_nat_bool ) > set_set_nat ).

tff(func_def_2227,type,
    sK1259: ( set_real * fun_set_real_bool ) > set_real ).

tff(func_def_2228,type,
    sK1260: ( set_Extended_enat * fun_se2015444840911768724t_bool ) > set_Extended_enat ).

tff(func_def_2229,type,
    sK1261: ( set_nat * fun_set_nat_bool ) > set_nat ).

tff(func_def_2230,type,
    sK1262: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2231,type,
    sK1263: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2232,type,
    sK1264: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2233,type,
    sK1265: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2234,type,
    sK1266: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2235,type,
    sK1267: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2236,type,
    sK1268: fun_se3560235952666129655at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_2237,type,
    sK1269: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2238,type,
    sK1270: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2239,type,
    sK1271: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2240,type,
    sK1272: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2241,type,
    sK1273: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2242,type,
    sK1274: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2243,type,
    sK1275: fun_se6573205548028396576et_int > set_int ).

tff(func_def_2244,type,
    sK1276: fun_rat_fun_rat_rat > rat ).

tff(func_def_2245,type,
    sK1277: fun_rat_fun_rat_rat > rat ).

tff(func_def_2246,type,
    sK1278: fun_rat_fun_rat_rat > rat ).

tff(func_def_2247,type,
    sK1279: fun_rat_fun_rat_rat > rat ).

tff(func_def_2248,type,
    sK1280: fun_rat_fun_rat_rat > rat ).

tff(func_def_2249,type,
    sK1281: fun_rat_fun_rat_rat > rat ).

tff(func_def_2250,type,
    sK1282: fun_rat_fun_rat_rat > rat ).

tff(func_def_2251,type,
    sK1283: fun_nat_fun_nat_nat > nat ).

tff(func_def_2252,type,
    sK1284: fun_nat_fun_nat_nat > nat ).

tff(func_def_2253,type,
    sK1285: fun_nat_fun_nat_nat > nat ).

tff(func_def_2254,type,
    sK1286: fun_nat_fun_nat_nat > nat ).

tff(func_def_2255,type,
    sK1287: fun_nat_fun_nat_nat > nat ).

tff(func_def_2256,type,
    sK1288: fun_nat_fun_nat_nat > nat ).

tff(func_def_2257,type,
    sK1289: fun_nat_fun_nat_nat > nat ).

tff(func_def_2258,type,
    sK1290: fun_int_fun_int_int > int ).

tff(func_def_2259,type,
    sK1291: fun_int_fun_int_int > int ).

tff(func_def_2260,type,
    sK1292: fun_int_fun_int_int > int ).

tff(func_def_2261,type,
    sK1293: fun_int_fun_int_int > int ).

tff(func_def_2262,type,
    sK1294: fun_int_fun_int_int > int ).

tff(func_def_2263,type,
    sK1295: fun_int_fun_int_int > int ).

tff(func_def_2264,type,
    sK1296: fun_int_fun_int_int > int ).

tff(func_def_2265,type,
    sK1297: set_Pr1261947904930325089at_nat ).

tff(func_def_2266,type,
    sK1298: set_Pr1261947904930325089at_nat ).

tff(func_def_2267,type,
    sK1299: set_Pr1261947904930325089at_nat ).

tff(func_def_2268,type,
    sK1300: set_nat ).

tff(func_def_2269,type,
    sK1301: set_nat ).

tff(func_def_2270,type,
    sK1302: set_nat ).

tff(func_def_2271,type,
    sK1303: nat ).

tff(func_def_2272,type,
    sK1304: nat ).

tff(func_def_2273,type,
    sK1305: nat ).

tff(func_def_2274,type,
    sK1306: set_bool ).

tff(func_def_2275,type,
    sK1307: set_bool ).

tff(func_def_2276,type,
    sK1308: set_bool ).

tff(func_def_2277,type,
    sK1309: set_int ).

tff(func_def_2278,type,
    sK1310: set_int ).

tff(func_def_2279,type,
    sK1311: set_int ).

tff(func_def_2280,type,
    sK1312: filter_nat ).

tff(func_def_2281,type,
    sK1313: filter_nat ).

tff(func_def_2282,type,
    sK1314: filter_nat ).

tff(func_def_2283,type,
    sK1315: set_Pr1261947904930325089at_nat ).

tff(func_def_2284,type,
    sK1316: set_Pr1261947904930325089at_nat ).

tff(func_def_2285,type,
    sK1317: set_Pr1261947904930325089at_nat ).

tff(func_def_2286,type,
    sK1318: set_nat ).

tff(func_def_2287,type,
    sK1319: set_nat ).

tff(func_def_2288,type,
    sK1320: set_nat ).

tff(func_def_2289,type,
    sK1321: nat ).

tff(func_def_2290,type,
    sK1322: nat ).

tff(func_def_2291,type,
    sK1323: nat ).

tff(func_def_2292,type,
    sK1324: set_bool ).

tff(func_def_2293,type,
    sK1325: set_bool ).

tff(func_def_2294,type,
    sK1326: set_bool ).

tff(func_def_2295,type,
    sK1327: set_int ).

tff(func_def_2296,type,
    sK1328: set_int ).

tff(func_def_2297,type,
    sK1329: set_int ).

tff(func_def_2298,type,
    sK1330: filter_nat ).

tff(func_def_2299,type,
    sK1331: filter_nat ).

tff(func_def_2300,type,
    sK1332: filter_nat ).

tff(func_def_2301,type,
    sK1333: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_2302,type,
    sK1334: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_2303,type,
    sK1335: ( set_nat * set_nat ) > nat ).

tff(func_def_2304,type,
    sK1336: ( set_nat * set_nat ) > nat ).

tff(func_def_2305,type,
    sK1337: ( set_int * set_int ) > int ).

tff(func_def_2306,type,
    sK1338: ( set_int * set_int ) > int ).

tff(func_def_2307,type,
    sK1339: ( set_bool * set_bool ) > bool ).

tff(func_def_2308,type,
    sK1340: ( set_bool * set_bool ) > bool ).

tff(func_def_2309,type,
    sK1341: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_2310,type,
    sK1342: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_2311,type,
    sK1343: ( set_real * set_real ) > real ).

tff(func_def_2312,type,
    sK1344: ( set_real * set_real ) > real ).

tff(func_def_2313,type,
    sK1345: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_2314,type,
    sK1346: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_2315,type,
    sK1347: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_2316,type,
    sK1348: ( set_nat * set_nat ) > nat ).

tff(func_def_2317,type,
    sK1349: ( set_int * set_int ) > int ).

tff(func_def_2318,type,
    sK1350: ( set_bool * set_bool ) > bool ).

tff(func_def_2319,type,
    sK1351: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_2320,type,
    sK1352: ( set_real * set_real ) > real ).

tff(func_def_2321,type,
    sK1353: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_2322,type,
    sK1354: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > product_prod_nat_nat ).

tff(func_def_2323,type,
    sK1355: ( set_nat * set_nat ) > nat ).

tff(func_def_2324,type,
    sK1356: ( set_int * set_int ) > int ).

tff(func_def_2325,type,
    sK1357: ( set_bool * set_bool ) > bool ).

tff(func_def_2326,type,
    sK1358: ( set_set_nat * set_set_nat ) > set_nat ).

tff(func_def_2327,type,
    sK1359: ( set_real * set_real ) > real ).

tff(func_def_2328,type,
    sK1360: ( set_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_2329,type,
    sK1361: ( set_Extended_enat * fun_Ex8563670519792538868t_bool * fun_Ex8563670519792538868t_bool ) > extended_enat ).

tff(func_def_2330,type,
    sK1362: ( set_bool * fun_bool_bool * fun_bool_bool ) > bool ).

tff(func_def_2331,type,
    sK1363: ( set_real * fun_real_bool * fun_real_bool ) > real ).

tff(func_def_2332,type,
    sK1364: ( set_list_nat * fun_list_nat_bool * fun_list_nat_bool ) > list_nat ).

tff(func_def_2333,type,
    sK1365: ( set_set_nat * fun_set_nat_bool * fun_set_nat_bool ) > set_nat ).

tff(func_def_2334,type,
    sK1366: ( set_nat * fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_2335,type,
    sK1367: ( set_Pr1261947904930325089at_nat * fun_Pr7757163693017731481t_bool * fun_Pr7757163693017731481t_bool ) > product_prod_nat_nat ).

tff(func_def_2336,type,
    sK1368: ( set_int * fun_int_bool * fun_int_bool ) > int ).

tff(func_def_2337,type,
    sK1369: ( set_set_nat * nat ) > set_set_nat ).

tff(func_def_2338,type,
    sK1370: ( set_Product_unit * nat ) > set_Product_unit ).

tff(func_def_2339,type,
    sK1371: ( set_list_nat * nat ) > set_list_nat ).

tff(func_def_2340,type,
    sK1372: ( set_nat * nat ) > set_nat ).

tff(func_def_2341,type,
    sK1373: ( set_complex * nat ) > set_complex ).

tff(func_def_2342,type,
    sK1374: ( set_Extended_enat * nat ) > set_Extended_enat ).

tff(func_def_2343,type,
    sK1375: ( set_int * nat ) > set_int ).

tff(func_def_2344,type,
    sK1376: ( fun_Ex4578939836232520097l_bool * set_real * set_Extended_enat ) > extended_enat ).

tff(func_def_2345,type,
    sK1377: ( fun_Ex4578939836232520097l_bool * set_real * set_Extended_enat ) > extended_enat ).

tff(func_def_2346,type,
    sK1378: ( fun_Ex4578939836232520097l_bool * set_real * set_Extended_enat ) > real ).

tff(func_def_2347,type,
    sK1379: ( set_real * set_Extended_enat * fun_Ex4578939836232520097l_bool ) > extended_enat ).

tff(func_def_2348,type,
    sK1380: ( fun_Ex4978594138320671356l_bool * set_bool * set_Extended_enat ) > extended_enat ).

tff(func_def_2349,type,
    sK1381: ( fun_Ex4978594138320671356l_bool * set_bool * set_Extended_enat ) > extended_enat ).

tff(func_def_2350,type,
    sK1382: ( fun_Ex4978594138320671356l_bool * set_bool * set_Extended_enat ) > bool ).

tff(func_def_2351,type,
    sK1383: ( set_bool * set_Extended_enat * fun_Ex4978594138320671356l_bool ) > extended_enat ).

tff(func_def_2352,type,
    sK1384: ( fun_re1255401033344146673l_bool * set_real * set_real ) > real ).

tff(func_def_2353,type,
    sK1385: ( fun_re1255401033344146673l_bool * set_real * set_real ) > real ).

tff(func_def_2354,type,
    sK1386: ( fun_re1255401033344146673l_bool * set_real * set_real ) > real ).

tff(func_def_2355,type,
    sK1387: ( set_real * set_real * fun_re1255401033344146673l_bool ) > real ).

tff(func_def_2356,type,
    sK1388: ( fun_re3316061561565328172l_bool * set_bool * set_real ) > real ).

tff(func_def_2357,type,
    sK1389: ( fun_re3316061561565328172l_bool * set_bool * set_real ) > real ).

tff(func_def_2358,type,
    sK1390: ( fun_re3316061561565328172l_bool * set_bool * set_real ) > bool ).

tff(func_def_2359,type,
    sK1391: ( set_bool * set_real * fun_re3316061561565328172l_bool ) > real ).

tff(func_def_2360,type,
    sK1392: ( fun_in3970322703178350321l_bool * set_real * set_int ) > int ).

tff(func_def_2361,type,
    sK1393: ( fun_in3970322703178350321l_bool * set_real * set_int ) > int ).

tff(func_def_2362,type,
    sK1394: ( fun_in3970322703178350321l_bool * set_real * set_int ) > real ).

tff(func_def_2363,type,
    sK1395: ( set_real * set_int * fun_in3970322703178350321l_bool ) > int ).

tff(func_def_2364,type,
    sK1396: ( fun_in3865155034416861484l_bool * set_bool * set_int ) > int ).

tff(func_def_2365,type,
    sK1397: ( fun_in3865155034416861484l_bool * set_bool * set_int ) > int ).

tff(func_def_2366,type,
    sK1398: ( fun_in3865155034416861484l_bool * set_bool * set_int ) > bool ).

tff(func_def_2367,type,
    sK1399: ( set_bool * set_int * fun_in3865155034416861484l_bool ) > int ).

tff(func_def_2368,type,
    sK1400: ( fun_bo2025495424286513072l_bool * set_real * set_bool ) > bool ).

tff(func_def_2369,type,
    sK1401: ( fun_bo2025495424286513072l_bool * set_real * set_bool ) > bool ).

tff(func_def_2370,type,
    sK1402: ( fun_bo2025495424286513072l_bool * set_real * set_bool ) > real ).

tff(func_def_2371,type,
    sK1403: ( set_real * set_bool * fun_bo2025495424286513072l_bool ) > bool ).

tff(func_def_2372,type,
    sK1404: ( fun_bo1841576699660343469l_bool * set_bool * set_bool ) > bool ).

tff(func_def_2373,type,
    sK1405: ( fun_bo1841576699660343469l_bool * set_bool * set_bool ) > bool ).

tff(func_def_2374,type,
    sK1406: ( fun_bo1841576699660343469l_bool * set_bool * set_bool ) > bool ).

tff(func_def_2375,type,
    sK1407: ( set_bool * set_bool * fun_bo1841576699660343469l_bool ) > bool ).

tff(func_def_2376,type,
    sK1408: ( fun_Ex6990506909712494598t_bool * set_Product_unit * set_Extended_enat ) > extended_enat ).

tff(func_def_2377,type,
    sK1409: ( fun_Ex6990506909712494598t_bool * set_Product_unit * set_Extended_enat ) > extended_enat ).

tff(func_def_2378,type,
    sK1410: ( fun_Ex6990506909712494598t_bool * set_Product_unit * set_Extended_enat ) > product_unit ).

tff(func_def_2379,type,
    sK1411: ( set_Product_unit * set_Extended_enat * fun_Ex6990506909712494598t_bool ) > extended_enat ).

tff(func_def_2380,type,
    sK1412: ( fun_re5749909910586605750t_bool * set_Product_unit * set_real ) > real ).

tff(func_def_2381,type,
    sK1413: ( fun_re5749909910586605750t_bool * set_Product_unit * set_real ) > real ).

tff(func_def_2382,type,
    sK1414: ( fun_re5749909910586605750t_bool * set_Product_unit * set_real ) > product_unit ).

tff(func_def_2383,type,
    sK1415: ( set_Product_unit * set_real * fun_re5749909910586605750t_bool ) > real ).

tff(func_def_2384,type,
    sK1416: ( set_set_nat * nat ) > set_set_nat ).

tff(func_def_2385,type,
    sK1417: ( set_Product_unit * nat ) > set_Product_unit ).

tff(func_def_2386,type,
    sK1418: ( set_list_nat * nat ) > set_list_nat ).

tff(func_def_2387,type,
    sK1419: ( set_nat * nat ) > set_nat ).

tff(func_def_2388,type,
    sK1420: ( set_complex * nat ) > set_complex ).

tff(func_def_2389,type,
    sK1421: ( set_Extended_enat * nat ) > set_Extended_enat ).

tff(func_def_2390,type,
    sK1422: ( set_int * nat ) > set_int ).

tff(func_def_2391,type,
    sK1423: ( nat * set_set_nat ) > set_set_nat ).

tff(func_def_2392,type,
    sK1424: ( nat * set_Product_unit ) > set_Product_unit ).

tff(func_def_2393,type,
    sK1425: ( nat * set_list_nat ) > set_list_nat ).

tff(func_def_2394,type,
    sK1426: ( nat * set_nat ) > set_nat ).

tff(func_def_2395,type,
    sK1427: ( nat * set_complex ) > set_complex ).

tff(func_def_2396,type,
    sK1428: ( nat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_2397,type,
    sK1429: ( nat * set_int ) > set_int ).

tff(func_def_2398,type,
    sK1430: set_complex > complex ).

tff(func_def_2399,type,
    sK1431: set_Product_unit > product_unit ).

tff(func_def_2400,type,
    sK1432: set_list_nat > list_nat ).

tff(func_def_2401,type,
    sK1433: set_nat > nat ).

tff(func_def_2402,type,
    sK1434: set_int > int ).

tff(func_def_2403,type,
    sK1435: set_bool > bool ).

tff(func_def_2404,type,
    sK1436: set_set_nat > set_nat ).

tff(func_def_2405,type,
    sK1437: set_real > real ).

tff(func_def_2406,type,
    sK1438: set_Extended_enat > extended_enat ).

tff(func_def_2407,type,
    sK1439: nat ).

tff(func_def_2408,type,
    sK1440: nat ).

tff(func_def_2409,type,
    sK1441: int ).

tff(func_def_2410,type,
    sK1442: int ).

tff(func_def_2411,type,
    sK1443: bool ).

tff(func_def_2412,type,
    sK1444: bool ).

tff(func_def_2413,type,
    sK1445: set_nat ).

tff(func_def_2414,type,
    sK1446: set_nat ).

tff(func_def_2415,type,
    sK1447: real ).

tff(func_def_2416,type,
    sK1448: real ).

tff(func_def_2417,type,
    sK1449: extended_enat ).

tff(func_def_2418,type,
    sK1450: extended_enat ).

tff(func_def_2419,type,
    sK1451: int > nat ).

tff(func_def_2420,type,
    sK1452: int > nat ).

tff(func_def_2421,type,
    sK1453: rat > nat ).

tff(func_def_2422,type,
    sK1454: real > nat ).

tff(func_def_2423,type,
    sK1455: real > nat ).

tff(func_def_2424,type,
    sK1456: rat > nat ).

tff(func_def_2425,type,
    sK1457: ( set_Product_unit * set_Product_unit ) > nat ).

tff(func_def_2426,type,
    sK1458: ( set_Extended_enat * set_Extended_enat ) > nat ).

tff(func_def_2427,type,
    sK1459: ( set_nat * set_nat ) > nat ).

tff(func_def_2428,type,
    sK1460: ( int * fun_int_bool ) > int ).

tff(func_def_2429,type,
    sK1461: ( int * fun_int_bool ) > int ).

tff(func_def_2430,type,
    sK1462: fun_nat_bool > nat ).

tff(func_def_2431,type,
    sK1463: int > nat ).

tff(func_def_2432,type,
    sK1464: int > nat ).

tff(func_def_2433,type,
    sK1465: fun_nat_bool > nat ).

tff(func_def_2434,type,
    sK1466: nat > nat ).

tff(func_def_2435,type,
    sK1467: nat > nat ).

tff(func_def_2436,type,
    sK1468: fun_nat_bool > nat ).

tff(func_def_2437,type,
    sK1469: fun_nat_fun_nat_bool > nat ).

tff(func_def_2438,type,
    sK1470: fun_nat_fun_nat_bool > nat ).

tff(func_def_2439,type,
    sK1471: fun_nat_fun_nat_bool > nat ).

tff(func_def_2440,type,
    sK1472: fun_nat_fun_nat_bool > nat ).

tff(func_def_2441,type,
    sK1473: fun_nat_bool > nat ).

tff(func_def_2442,type,
    sK1474: nat > nat ).

tff(func_def_2443,type,
    sK1475: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2444,type,
    sK1476: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2445,type,
    sK1477: fun_nat_fun_nat_bool > nat ).

tff(func_def_2446,type,
    sK1478: fun_nat_fun_nat_bool > nat ).

tff(func_def_2447,type,
    sK1479: fun_nat_fun_nat_bool > nat ).

tff(func_def_2448,type,
    sK1480: fun_nat_fun_nat_bool > nat ).

tff(func_def_2449,type,
    sK1481: ( nat * nat ) > nat ).

tff(func_def_2450,type,
    sK1482: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2451,type,
    sK1483: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2452,type,
    sK1484: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2453,type,
    sK1485: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2454,type,
    sK1486: ( nat * nat ) > nat ).

tff(func_def_2455,type,
    sK1487: ( nat * nat ) > nat ).

tff(func_def_2456,type,
    sK1488: fun_nat_fun_nat_bool > nat ).

tff(func_def_2457,type,
    sK1489: fun_nat_fun_nat_bool > nat ).

tff(func_def_2458,type,
    sK1490: fun_nat_fun_nat_bool > nat ).

tff(func_def_2459,type,
    sK1491: fun_nat_fun_nat_bool > nat ).

tff(func_def_2460,type,
    sK1492: fun_nat_fun_nat_bool > nat ).

tff(func_def_2461,type,
    sK1493: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2462,type,
    sK1494: fun_nat_bool > nat ).

tff(func_def_2463,type,
    sK1495: nat > nat ).

tff(func_def_2464,type,
    sK1496: rat > nat ).

tff(func_def_2465,type,
    sK1497: real > nat ).

tff(func_def_2466,type,
    sK1498: ( set_nat * nat ) > nat ).

tff(func_def_2467,type,
    sK1499: fun_nat_real > nat ).

tff(func_def_2468,type,
    sK1500: fun_nat_rat > nat ).

tff(func_def_2469,type,
    sK1501: fun_nat_num > nat ).

tff(func_def_2470,type,
    sK1502: fun_nat_nat > nat ).

tff(func_def_2471,type,
    sK1503: fun_nat_int > nat ).

tff(func_def_2472,type,
    sK1504: fun_nat_real > nat ).

tff(func_def_2473,type,
    sK1505: fun_nat_rat > nat ).

tff(func_def_2474,type,
    sK1506: fun_nat_num > nat ).

tff(func_def_2475,type,
    sK1507: fun_nat_nat > nat ).

tff(func_def_2476,type,
    sK1508: fun_nat_int > nat ).

tff(func_def_2477,type,
    sK1509: fun_nat_set_int > nat ).

tff(func_def_2478,type,
    sK1510: fun_nat_rat > nat ).

tff(func_def_2479,type,
    sK1511: fun_nat_num > nat ).

tff(func_def_2480,type,
    sK1512: fun_nat_nat > nat ).

tff(func_def_2481,type,
    sK1513: fun_nat_int > nat ).

tff(func_def_2482,type,
    sK1514: fun_nat_set_int > nat ).

tff(func_def_2483,type,
    sK1515: fun_nat_rat > nat ).

tff(func_def_2484,type,
    sK1516: fun_nat_num > nat ).

tff(func_def_2485,type,
    sK1517: fun_nat_nat > nat ).

tff(func_def_2486,type,
    sK1518: fun_nat_int > nat ).

tff(func_def_2487,type,
    sK1519: ( nat * nat ) > nat ).

tff(func_def_2488,type,
    sK1520: nat > nat ).

tff(func_def_2489,type,
    sK1521: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2490,type,
    sK1522: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2491,type,
    sK1523: nat > nat ).

tff(func_def_2492,type,
    sK1524: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2493,type,
    sK1525: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2494,type,
    sK1526: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_2495,type,
    sK1527: ( nat * nat * fun_nat_bool ) > nat ).

tff(func_def_2496,type,
    sK1528: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2497,type,
    sK1529: fun_nat_bool > nat ).

tff(func_def_2498,type,
    sK1530: ( set_real * nat ) > real ).

tff(func_def_2499,type,
    sK1531: ( set_real * nat ) > set_real ).

tff(func_def_2500,type,
    sK1532: ( set_bool * nat ) > bool ).

tff(func_def_2501,type,
    sK1533: ( set_bool * nat ) > set_bool ).

tff(func_def_2502,type,
    sK1534: ( set_set_nat * nat ) > set_nat ).

tff(func_def_2503,type,
    sK1535: ( set_set_nat * nat ) > set_set_nat ).

tff(func_def_2504,type,
    sK1536: ( set_Product_unit * nat ) > product_unit ).

tff(func_def_2505,type,
    sK1537: ( set_Product_unit * nat ) > set_Product_unit ).

tff(func_def_2506,type,
    sK1538: ( set_list_nat * nat ) > list_nat ).

tff(func_def_2507,type,
    sK1539: ( set_list_nat * nat ) > set_list_nat ).

tff(func_def_2508,type,
    sK1540: ( set_nat * nat ) > nat ).

tff(func_def_2509,type,
    sK1541: ( set_nat * nat ) > set_nat ).

tff(func_def_2510,type,
    sK1542: ( set_int * nat ) > int ).

tff(func_def_2511,type,
    sK1543: ( set_int * nat ) > set_int ).

tff(func_def_2512,type,
    sK1544: ( set_complex * nat ) > complex ).

tff(func_def_2513,type,
    sK1545: ( set_complex * nat ) > set_complex ).

tff(func_def_2514,type,
    sK1546: ( set_Extended_enat * nat ) > extended_enat ).

tff(func_def_2515,type,
    sK1547: ( set_Extended_enat * nat ) > set_Extended_enat ).

tff(func_def_2516,type,
    sK1548: ( set_Product_unit * product_unit ) > nat ).

tff(func_def_2517,type,
    sK1549: ( set_Extended_enat * extended_enat ) > nat ).

tff(func_def_2518,type,
    sK1550: ( set_nat * nat ) > nat ).

tff(func_def_2519,type,
    sK1551: ( set_Product_unit * set_Product_unit ) > nat ).

tff(func_def_2520,type,
    sK1552: ( set_Extended_enat * set_Extended_enat ) > nat ).

tff(func_def_2521,type,
    sK1553: ( set_nat * set_nat ) > nat ).

tff(func_def_2522,type,
    sK1554: ( set_complex * nat ) > complex ).

tff(func_def_2523,type,
    sK1555: ( set_complex * nat ) > set_complex ).

tff(func_def_2524,type,
    sK1556: ( set_Product_unit * nat ) > product_unit ).

tff(func_def_2525,type,
    sK1557: ( set_Product_unit * nat ) > set_Product_unit ).

tff(func_def_2526,type,
    sK1558: ( set_list_nat * nat ) > list_nat ).

tff(func_def_2527,type,
    sK1559: ( set_list_nat * nat ) > set_list_nat ).

tff(func_def_2528,type,
    sK1560: ( set_nat * nat ) > nat ).

tff(func_def_2529,type,
    sK1561: ( set_nat * nat ) > set_nat ).

tff(func_def_2530,type,
    sK1562: ( set_int * nat ) > int ).

tff(func_def_2531,type,
    sK1563: ( set_int * nat ) > set_int ).

tff(func_def_2532,type,
    sK1564: ( set_bool * nat ) > bool ).

tff(func_def_2533,type,
    sK1565: ( set_bool * nat ) > set_bool ).

tff(func_def_2534,type,
    sK1566: ( set_set_nat * nat ) > set_nat ).

tff(func_def_2535,type,
    sK1567: ( set_set_nat * nat ) > set_set_nat ).

tff(func_def_2536,type,
    sK1568: ( set_real * nat ) > real ).

tff(func_def_2537,type,
    sK1569: ( set_real * nat ) > set_real ).

tff(func_def_2538,type,
    sK1570: ( set_Extended_enat * nat ) > extended_enat ).

tff(func_def_2539,type,
    sK1571: ( set_Extended_enat * nat ) > set_Extended_enat ).

tff(func_def_2540,type,
    sK1572: ( set_complex * nat ) > complex ).

tff(func_def_2541,type,
    sK1573: ( set_complex * nat ) > set_complex ).

tff(func_def_2542,type,
    sK1574: ( set_Product_unit * nat ) > product_unit ).

tff(func_def_2543,type,
    sK1575: ( set_Product_unit * nat ) > set_Product_unit ).

tff(func_def_2544,type,
    sK1576: ( set_list_nat * nat ) > list_nat ).

tff(func_def_2545,type,
    sK1577: ( set_list_nat * nat ) > set_list_nat ).

tff(func_def_2546,type,
    sK1578: ( set_nat * nat ) > nat ).

tff(func_def_2547,type,
    sK1579: ( set_nat * nat ) > set_nat ).

tff(func_def_2548,type,
    sK1580: ( set_int * nat ) > int ).

tff(func_def_2549,type,
    sK1581: ( set_int * nat ) > set_int ).

tff(func_def_2550,type,
    sK1582: ( set_bool * nat ) > bool ).

tff(func_def_2551,type,
    sK1583: ( set_bool * nat ) > set_bool ).

tff(func_def_2552,type,
    sK1584: ( set_set_nat * nat ) > set_nat ).

tff(func_def_2553,type,
    sK1585: ( set_set_nat * nat ) > set_set_nat ).

tff(func_def_2554,type,
    sK1586: ( set_real * nat ) > real ).

tff(func_def_2555,type,
    sK1587: ( set_real * nat ) > set_real ).

tff(func_def_2556,type,
    sK1588: ( set_Extended_enat * nat ) > extended_enat ).

tff(func_def_2557,type,
    sK1589: ( set_Extended_enat * nat ) > set_Extended_enat ).

tff(func_def_2558,type,
    sK1590: set_complex > complex ).

tff(func_def_2559,type,
    sK1591: set_Product_unit > product_unit ).

tff(func_def_2560,type,
    sK1592: set_list_nat > list_nat ).

tff(func_def_2561,type,
    sK1593: set_nat > nat ).

tff(func_def_2562,type,
    sK1594: set_int > int ).

tff(func_def_2563,type,
    sK1595: set_bool > bool ).

tff(func_def_2564,type,
    sK1596: set_set_nat > set_nat ).

tff(func_def_2565,type,
    sK1597: set_real > real ).

tff(func_def_2566,type,
    sK1598: set_Extended_enat > extended_enat ).

tff(func_def_2567,type,
    sK1599: set_set_nat > set_nat ).

tff(func_def_2568,type,
    sK1600: set_set_nat > set_nat ).

tff(func_def_2569,type,
    sK1601: set_Product_unit > product_unit ).

tff(func_def_2570,type,
    sK1602: set_Product_unit > product_unit ).

tff(func_def_2571,type,
    sK1603: set_list_nat > list_nat ).

tff(func_def_2572,type,
    sK1604: set_list_nat > list_nat ).

tff(func_def_2573,type,
    sK1605: set_nat > nat ).

tff(func_def_2574,type,
    sK1606: set_nat > nat ).

tff(func_def_2575,type,
    sK1607: set_int > int ).

tff(func_def_2576,type,
    sK1608: set_int > int ).

tff(func_def_2577,type,
    sK1609: set_complex > complex ).

tff(func_def_2578,type,
    sK1610: set_complex > complex ).

tff(func_def_2579,type,
    sK1611: set_Extended_enat > extended_enat ).

tff(func_def_2580,type,
    sK1612: set_Extended_enat > extended_enat ).

tff(func_def_2581,type,
    sK1613: ( nat * set_real ) > real ).

tff(func_def_2582,type,
    sK1614: ( nat * set_real ) > set_real ).

tff(func_def_2583,type,
    sK1615: ( nat * set_bool ) > bool ).

tff(func_def_2584,type,
    sK1616: ( nat * set_bool ) > set_bool ).

tff(func_def_2585,type,
    sK1617: ( nat * set_set_nat ) > set_nat ).

tff(func_def_2586,type,
    sK1618: ( nat * set_set_nat ) > set_set_nat ).

tff(func_def_2587,type,
    sK1619: ( nat * set_Product_unit ) > product_unit ).

tff(func_def_2588,type,
    sK1620: ( nat * set_Product_unit ) > set_Product_unit ).

tff(func_def_2589,type,
    sK1621: ( nat * set_list_nat ) > list_nat ).

tff(func_def_2590,type,
    sK1622: ( nat * set_list_nat ) > set_list_nat ).

tff(func_def_2591,type,
    sK1623: ( nat * set_nat ) > nat ).

tff(func_def_2592,type,
    sK1624: ( nat * set_nat ) > set_nat ).

tff(func_def_2593,type,
    sK1625: ( nat * set_int ) > int ).

tff(func_def_2594,type,
    sK1626: ( nat * set_int ) > set_int ).

tff(func_def_2595,type,
    sK1627: ( nat * set_complex ) > complex ).

tff(func_def_2596,type,
    sK1628: ( nat * set_complex ) > set_complex ).

tff(func_def_2597,type,
    sK1629: ( nat * set_Extended_enat ) > extended_enat ).

tff(func_def_2598,type,
    sK1630: ( nat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_2599,type,
    sK1631: real > real ).

tff(func_def_2600,type,
    sK1632: rat > rat ).

tff(func_def_2601,type,
    sK1633: real > real ).

tff(func_def_2602,type,
    sK1634: rat > rat ).

tff(func_def_2603,type,
    sK1635: set_real > real ).

tff(func_def_2604,type,
    sK1636: ( set_real * real ) > real ).

tff(func_def_2605,type,
    sK1637: ( set_real * real ) > real ).

tff(func_def_2606,type,
    sK1638: ( fun_re1255401033344146673l_bool * real * real ) > real ).

tff(func_def_2607,type,
    sK1639: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_2608,type,
    sK1640: ( fun_re1255401033344146673l_bool * real * real * real ) > real ).

tff(func_def_2609,type,
    sK1641: fun_re1255401033344146673l_bool > real ).

tff(func_def_2610,type,
    sK1642: fun_re1255401033344146673l_bool > real ).

tff(func_def_2611,type,
    sK1643: fun_re1255401033344146673l_bool > real ).

tff(func_def_2612,type,
    sK1644: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2613,type,
    sK1645: ( nat * fun_nat_int ) > nat ).

tff(func_def_2614,type,
    sK1646: nat > nat ).

tff(func_def_2615,type,
    sK1647: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_2616,type,
    sK1648: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_2617,type,
    sK1649: ( nat * nat ) > nat ).

tff(func_def_2618,type,
    sK1650: ( nat * nat ) > nat ).

tff(func_def_2619,type,
    sK1651: set_int > int ).

tff(func_def_2620,type,
    sK1652: ( set_int * int ) > int ).

tff(func_def_2621,type,
    sK1653: set_int > int ).

tff(func_def_2622,type,
    sK1654: ( set_int * int ) > int ).

tff(func_def_2623,type,
    sK1655: fun_nat_bool > int ).

tff(func_def_2624,type,
    sK1656: fun_nat_bool > nat ).

tff(func_def_2625,type,
    sK1657: fun_nat_bool > nat ).

tff(func_def_2626,type,
    sK1658: fun_nat_bool > int ).

tff(func_def_2627,type,
    sK1659: ( nat * nat ) > nat ).

tff(func_def_2628,type,
    sK1660: ( int * fun_int_bool ) > int ).

tff(func_def_2629,type,
    sK1661: ( int * fun_int_bool ) > int ).

tff(func_def_2630,type,
    sK1662: ( int * int ) > nat ).

tff(func_def_2631,type,
    sK1663: real > real ).

tff(func_def_2632,type,
    sK1664: rat > rat ).

tff(func_def_2633,type,
    sK1665: ( real * real ) > real ).

tff(func_def_2634,type,
    sK1666: ( rat * rat ) > rat ).

tff(func_def_2635,type,
    sK1667: ( int * int ) > nat ).

tff(func_def_2636,type,
    sK1668: ( fun_int_bool * int ) > int ).

tff(func_def_2637,type,
    sK1669: ( fun_int_bool * int ) > int ).

tff(func_def_2638,type,
    sK1670: ( fun_nat_bool * int ) > nat ).

tff(func_def_2639,type,
    sK1671: nat > nat ).

tff(func_def_2640,type,
    sK1672: nat > nat ).

tff(func_def_2641,type,
    sK1673: ( nat * nat ) > nat ).

tff(func_def_2642,type,
    sK1674: ( nat * nat ) > nat ).

tff(func_def_2643,type,
    sK1675: ( real * real ) > nat ).

tff(func_def_2644,type,
    sK1676: ( nat * nat ) > nat ).

tff(func_def_2645,type,
    sK1677: ( nat * nat ) > nat ).

tff(func_def_2646,type,
    sK1678: ( nat * nat ) > nat ).

tff(func_def_2647,type,
    sK1679: ( nat * nat ) > nat ).

tff(func_def_2648,type,
    sK1680: fun_nat_nat > nat ).

tff(func_def_2649,type,
    sK1681: fun_nat_nat > nat ).

tff(func_def_2650,type,
    sK1682: ( real * real ) > nat ).

tff(func_def_2651,type,
    sK1683: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2652,type,
    sK1684: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2653,type,
    sK1685: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_2654,type,
    sK1686: ( nat * fun_nat_int ) > nat ).

tff(func_def_2655,type,
    sK1687: ( real * real * real ) > real ).

tff(func_def_2656,type,
    sK1688: ( nat * real ) > real ).

tff(func_def_2657,type,
    sK1689: ( nat * real ) > real ).

tff(func_def_2658,type,
    sK1690: ( real * real * real ) > real ).

tff(func_def_2659,type,
    sK1691: ( real * nat ) > real ).

tff(func_def_2660,type,
    sK1692: fun_li6006399982103069984T_bool > list_VEBT_VEBT ).

tff(func_def_2661,type,
    sK1693: fun_list_bool_bool > list_bool ).

tff(func_def_2662,type,
    sK1694: fun_list_nat_bool > list_nat ).

tff(func_def_2663,type,
    sK1695: set_list_nat > nat ).

tff(func_def_2664,type,
    sK1696: fun_nat_fun_nat_bool > nat ).

tff(func_def_2665,type,
    sK1697: fun_nat_fun_nat_bool > nat ).

tff(func_def_2666,type,
    sK1698: fun_nat_fun_nat_bool > nat ).

tff(func_def_2667,type,
    sK1699: fun_nat_fun_nat_bool > nat ).

tff(func_def_2668,type,
    sK1700: fun_nat_fun_nat_bool > nat ).

tff(func_def_2669,type,
    sK1701: ( rat * rat ) > nat ).

tff(func_def_2670,type,
    sK1702: ( real * real ) > nat ).

tff(func_def_2671,type,
    sK1703: ( real * real ) > nat ).

tff(func_def_2672,type,
    sK1704: fun_int_bool > int ).

tff(func_def_2673,type,
    sK1705: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2674,type,
    sK1706: ( int * fun_int_bool ) > int ).

tff(func_def_2675,type,
    sK1707: ( int * fun_int_bool ) > int ).

tff(func_def_2676,type,
    sK1708: fun_int_bool > int ).

tff(func_def_2677,type,
    sK1709: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2678,type,
    sK1710: ( int * fun_int_bool ) > int ).

tff(func_def_2679,type,
    sK1711: ( int * fun_int_bool ) > int ).

tff(func_def_2680,type,
    sK1712: ( real * real ) > real ).

tff(func_def_2681,type,
    sK1713: ( rat * rat ) > rat ).

tff(func_def_2682,type,
    sK1714: ( int * fun_int_bool ) > int ).

tff(func_def_2683,type,
    sK1715: ( int * fun_int_bool ) > int ).

tff(func_def_2684,type,
    sK1716: ( real * real ) > nat ).

tff(func_def_2685,type,
    sK1717: ( fun_int_bool * int * int ) > int ).

tff(func_def_2686,type,
    sK1718: ( fun_int_bool * int * int ) > int ).

tff(func_def_2687,type,
    sK1719: ( fun_int_bool * int * int ) > int ).

tff(func_def_2688,type,
    sK1720: ( fun_int_bool * int * int ) > int ).

tff(func_def_2689,type,
    sK1721: ( fun_real_bool * nat * real ) > real ).

tff(func_def_2690,type,
    sK1722: int > nat ).

tff(func_def_2691,type,
    sK1723: int > nat ).

tff(func_def_2692,type,
    sK1724: int > nat ).

tff(func_def_2693,type,
    sK1725: int > nat ).

tff(func_def_2694,type,
    sK1726: int > nat ).

tff(func_def_2695,type,
    sK1727: int > nat ).

tff(func_def_2696,type,
    sK1728: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2697,type,
    sK1729: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2698,type,
    sK1730: int > nat ).

tff(func_def_2699,type,
    sK1731: ( fun_nat_bool * nat * nat ) > nat ).

tff(func_def_2700,type,
    sK1732: real > int ).

tff(func_def_2701,type,
    sK1733: rat > int ).

tff(func_def_2702,type,
    sK1734: real > int ).

tff(func_def_2703,type,
    sK1735: rat > int ).

tff(func_def_2704,type,
    sK1736: real > int ).

tff(func_def_2705,type,
    sK1737: rat > int ).

tff(func_def_2706,type,
    sK1738: ( fun_int_bool * real ) > int ).

tff(func_def_2707,type,
    sK1739: ( fun_int_bool * rat ) > int ).

tff(func_def_2708,type,
    sK1740: real > real ).

tff(func_def_2709,type,
    sK1741: real > real ).

tff(func_def_2710,type,
    sK1742: real > int ).

tff(func_def_2711,type,
    sK1743: rat > int ).

tff(func_def_2712,type,
    sK1744: real > int ).

tff(func_def_2713,type,
    sK1745: rat > int ).

tff(func_def_2714,type,
    sK1746: rat > nat ).

tff(func_def_2715,type,
    sK1747: real > nat ).

tff(func_def_2716,type,
    sK1748: fun_real_bool > nat ).

tff(func_def_2717,type,
    sK1749: fun_real_bool > real ).

tff(func_def_2718,type,
    sK1750: fun_real_bool > real ).

tff(func_def_2719,type,
    sK1751: real > nat ).

tff(func_def_2720,type,
    sK1752: fun_real_bool > nat ).

tff(func_def_2721,type,
    sK1753: fun_real_bool > real ).

tff(func_def_2722,type,
    sK1754: fun_real_bool > real ).

tff(func_def_2723,type,
    sK1755: ( fun_int_bool * real ) > int ).

tff(func_def_2724,type,
    sK1756: ( fun_int_bool * rat ) > int ).

tff(func_def_2725,type,
    sK1757: rat > nat ).

tff(func_def_2726,type,
    sK1758: real > nat ).

tff(func_def_2727,type,
    sK1759: fun_nat_real > nat ).

tff(func_def_2728,type,
    sK1760: ( fun_nat_real * nat ) > nat ).

tff(func_def_2729,type,
    sK1761: ( fun_nat_real * nat ) > nat ).

tff(func_def_2730,type,
    sK1762: ( fun_nat_real * nat ) > nat ).

tff(func_def_2731,type,
    sK1763: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2732,type,
    sK1764: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2733,type,
    sK1765: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2734,type,
    sK1766: ( int * fun_int_fun_int_bool * int ) > int ).

tff(func_def_2735,type,
    sK1767: ( fun_int_bool * int * int ) > int ).

tff(func_def_2736,type,
    sK1768: ( fun_int_bool * int * int ) > int ).

tff(func_def_2737,type,
    sK1769: ( fun_int_bool * int * int ) > int ).

tff(func_def_2738,type,
    sK1770: ( fun_int_bool * int * int ) > int ).

tff(func_def_2739,type,
    sK1771: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2740,type,
    sK1772: fun_nat_fun_nat_bool > nat ).

tff(func_def_2741,type,
    sK1773: fun_nat_fun_nat_bool > nat ).

tff(func_def_2742,type,
    sK1774: fun_nat_fun_nat_bool > nat ).

tff(func_def_2743,type,
    sK1775: ( nat * nat ) > nat ).

tff(func_def_2744,type,
    sK1776: ( nat * nat * nat ) > nat ).

tff(func_def_2745,type,
    sK1777: ( nat * nat * nat ) > nat ).

tff(func_def_2746,type,
    sK1778: ( nat * nat * nat ) > nat ).

tff(func_def_2747,type,
    sK1779: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_2748,type,
    sK1780: ( nat * fun_nat_bool * nat ) > nat ).

tff(func_def_2749,type,
    sK1781: ( fun_nat_complex * real ) > nat ).

tff(func_def_2750,type,
    sK1782: ( fun_nat_real * real ) > nat ).

tff(func_def_2751,type,
    sK1783: fun_nat_complex > real ).

tff(func_def_2752,type,
    sK1784: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2753,type,
    sK1785: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2754,type,
    sK1786: fun_nat_real > real ).

tff(func_def_2755,type,
    sK1787: ( fun_nat_real * nat ) > nat ).

tff(func_def_2756,type,
    sK1788: ( fun_nat_real * nat ) > nat ).

tff(func_def_2757,type,
    sK1789: fun_nat_complex > real ).

tff(func_def_2758,type,
    sK1790: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2759,type,
    sK1791: ( fun_nat_complex * nat ) > nat ).

tff(func_def_2760,type,
    sK1792: ( fun_nat_complex * real ) > nat ).

tff(func_def_2761,type,
    sK1793: fun_nat_real > real ).

tff(func_def_2762,type,
    sK1794: ( fun_nat_real * nat ) > nat ).

tff(func_def_2763,type,
    sK1795: ( fun_nat_real * nat ) > nat ).

tff(func_def_2764,type,
    sK1796: ( fun_nat_real * real ) > nat ).

tff(func_def_2765,type,
    sK1797: fun_complex_complex > real ).

tff(func_def_2766,type,
    sK1798: ( fun_complex_complex * real ) > complex ).

tff(func_def_2767,type,
    sK1799: fun_Ex8563670519792538868t_bool > extended_enat ).

tff(func_def_2768,type,
    sK1800: set_complex > complex ).

tff(func_def_2769,type,
    sK1801: set_complex > complex ).

tff(func_def_2770,type,
    sK1802: set_Product_unit > product_unit ).

tff(func_def_2771,type,
    sK1803: set_Product_unit > product_unit ).

tff(func_def_2772,type,
    sK1804: set_list_nat > list_nat ).

tff(func_def_2773,type,
    sK1805: set_list_nat > list_nat ).

tff(func_def_2774,type,
    sK1806: set_nat > nat ).

tff(func_def_2775,type,
    sK1807: set_nat > nat ).

tff(func_def_2776,type,
    sK1808: set_int > int ).

tff(func_def_2777,type,
    sK1809: set_int > int ).

tff(func_def_2778,type,
    sK1810: set_bool > bool ).

tff(func_def_2779,type,
    sK1811: set_bool > bool ).

tff(func_def_2780,type,
    sK1812: set_set_nat > set_nat ).

tff(func_def_2781,type,
    sK1813: set_set_nat > set_nat ).

tff(func_def_2782,type,
    sK1814: set_real > real ).

tff(func_def_2783,type,
    sK1815: set_real > real ).

tff(func_def_2784,type,
    sK1816: set_Extended_enat > extended_enat ).

tff(func_def_2785,type,
    sK1817: set_Extended_enat > extended_enat ).

tff(func_def_2786,type,
    sK1818: fun_nat_bool > nat ).

tff(func_def_2787,type,
    sK1819: fun_nat_bool > nat ).

tff(func_def_2788,type,
    sK1820: fun_nat_bool > nat ).

tff(func_def_2789,type,
    sK1821: ( nat * nat ) > nat ).

tff(func_def_2790,type,
    sK1822: ( nat * nat ) > nat ).

tff(func_def_2791,type,
    sK1823: fun_Co8310303586393106575r_bool > code_integer ).

tff(func_def_2792,type,
    sK1824: fun_re1255401033344146673l_bool > real ).

tff(func_def_2793,type,
    sK1825: fun_rat_fun_rat_bool > rat ).

tff(func_def_2794,type,
    sK1826: fun_int_fun_int_bool > int ).

tff(func_def_2795,type,
    sK1827: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2796,type,
    sK1828: set_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2797,type,
    sK1829: set_nat > list_nat ).

tff(func_def_2798,type,
    sK1830: set_int > list_int ).

tff(func_def_2799,type,
    sK1831: set_complex > list_complex ).

tff(func_def_2800,type,
    sK1832: set_Extended_enat > list_Extended_enat ).

tff(func_def_2801,type,
    sK1833: ( list_Extended_enat * set_Extended_enat ) > extended_enat ).

tff(func_def_2802,type,
    sK1834: ( list_real * set_real ) > real ).

tff(func_def_2803,type,
    sK1835: ( list_set_nat * set_set_nat ) > set_nat ).

tff(func_def_2804,type,
    sK1836: ( list_bool * set_bool ) > bool ).

tff(func_def_2805,type,
    sK1837: ( list_VEBT_VEBT * set_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2806,type,
    sK1838: ( list_nat * set_nat ) > nat ).

tff(func_def_2807,type,
    sK1839: ( list_int * set_int ) > int ).

tff(func_def_2808,type,
    sK1840: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2809,type,
    sK1841: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2810,type,
    sK1842: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2811,type,
    sK1843: ( nat * fun_nat_bool ) > nat ).

tff(func_def_2812,type,
    sK1844: fun_int_bool > int ).

tff(func_def_2813,type,
    sK1845: ( int * fun_int_bool ) > int ).

tff(func_def_2814,type,
    sK1846: ( int * fun_int_bool ) > int ).

tff(func_def_2815,type,
    sK1847: ( int * fun_int_bool ) > int ).

tff(func_def_2816,type,
    sK1848: ( int * set_int * int ) > int ).

tff(func_def_2817,type,
    sK1849: ( int * set_int * int ) > int ).

tff(func_def_2818,type,
    sK1850: ( int * set_int * int ) > int ).

tff(func_def_2819,type,
    sK1851: ( int * set_int * int ) > int ).

tff(func_def_2820,type,
    sK1852: ( int * set_int * int ) > int ).

tff(func_def_2821,type,
    sK1853: ( int * set_int * int ) > int ).

tff(func_def_2822,type,
    sK1854: ( int * set_int * int ) > int ).

tff(func_def_2823,type,
    sK1855: ( int * set_int * int ) > int ).

tff(func_def_2824,type,
    sK1856: ( int * set_int * int ) > int ).

tff(func_def_2825,type,
    sK1857: ( int * set_int * int ) > int ).

tff(func_def_2826,type,
    sK1858: ( int * set_int * int ) > int ).

tff(func_def_2827,type,
    sK1859: ( int * set_int * int ) > int ).

tff(func_def_2828,type,
    sK1860: ( int * set_int * int ) > int ).

tff(func_def_2829,type,
    sK1861: ( int * set_int * int ) > int ).

tff(func_def_2830,type,
    sK1862: ( int * set_int * int ) > int ).

tff(func_def_2831,type,
    sK1863: ( int * set_int * int ) > int ).

tff(func_def_2832,type,
    sK1864: ( int * set_int * int ) > int ).

tff(func_def_2833,type,
    sK1865: ( int * set_int * int ) > int ).

tff(func_def_2834,type,
    sK1866: ( int * set_int * int ) > int ).

tff(func_def_2835,type,
    sK1867: ( int * set_int * int ) > int ).

tff(func_def_2836,type,
    sK1868: ( int * set_int * int ) > int ).

tff(func_def_2837,type,
    sK1869: ( int * set_int * int ) > int ).

tff(func_def_2838,type,
    sK1870: ( int * set_int * int ) > int ).

tff(func_def_2839,type,
    sK1871: ( int * set_int * int ) > int ).

tff(func_def_2840,type,
    sK1872: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2841,type,
    sK1873: fun_int_bool > int ).

tff(func_def_2842,type,
    sK1874: ( int * fun_int_bool ) > int ).

tff(func_def_2843,type,
    sK1875: ( int * set_int * fun_int_bool ) > int ).

tff(func_def_2844,type,
    sK1876: ( int * set_int * fun_int_bool ) > int ).

tff(func_def_2845,type,
    sK1877: ( int * fun_int_bool ) > int ).

tff(func_def_2846,type,
    sK1878: ( int * fun_int_bool ) > int ).

tff(func_def_2847,type,
    sK1879: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_2848,type,
    sK1880: ( fun_int_bool * fun_int_bool * int ) > int ).

tff(func_def_2849,type,
    sK1881: fun_int_bool > int ).

tff(func_def_2850,type,
    sK1882: ( int * fun_int_bool ) > int ).

tff(func_def_2851,type,
    sK1883: ( int * set_int * fun_int_bool ) > int ).

tff(func_def_2852,type,
    sK1884: ( int * set_int * fun_int_bool ) > int ).

tff(func_def_2853,type,
    sK1885: ( int * fun_int_bool ) > int ).

tff(func_def_2854,type,
    sK1886: ( int * fun_int_bool ) > int ).

tff(func_def_2855,type,
    sK1887: ( int * fun_int_bool * set_int ) > int ).

tff(func_def_2856,type,
    sK1888: ( real * real ) > real ).

tff(func_def_2857,type,
    sK1889: ( rat * rat ) > rat ).

tff(func_def_2858,type,
    sK1890: ( nat * nat ) > nat ).

tff(func_def_2859,type,
    sK1891: ( int * int ) > int ).

tff(func_def_2860,type,
    sK1892: ( real * real ) > real ).

tff(func_def_2861,type,
    sK1893: ( rat * rat ) > rat ).

tff(func_def_2862,type,
    sK1894: ( nat * nat ) > nat ).

tff(func_def_2863,type,
    sK1895: ( int * int ) > int ).

tff(func_def_2864,type,
    sK1896: ( real * real ) > real ).

tff(func_def_2865,type,
    sK1897: ( rat * rat ) > rat ).

tff(func_def_2866,type,
    sK1898: ( nat * nat ) > nat ).

tff(func_def_2867,type,
    sK1899: ( int * int ) > int ).

tff(func_def_2868,type,
    sK1900: ( real * real ) > real ).

tff(func_def_2869,type,
    sK1901: ( rat * rat ) > rat ).

tff(func_def_2870,type,
    sK1902: ( nat * nat ) > nat ).

tff(func_def_2871,type,
    sK1903: ( int * int ) > int ).

tff(func_def_2872,type,
    sK1904: num > num ).

tff(func_def_2873,type,
    sK1905: num > num ).

tff(func_def_2874,type,
    sK1906: ( set_nat * nat ) > nat ).

tff(func_def_2875,type,
    sK1907: ( set_int * int ) > int ).

tff(func_def_2876,type,
    sK1908: ( set_nat * nat ) > nat ).

tff(func_def_2877,type,
    sK1909: ( set_int * int ) > int ).

tff(func_def_2878,type,
    sK1910: ( nat * nat ) > nat ).

tff(func_def_2879,type,
    sK1911: ( int * int ) > int ).

tff(func_def_2880,type,
    sK1912: ( fun_real_bool * real ) > real ).

tff(func_def_2881,type,
    sK1913: ( fun_real_bool * real ) > real ).

tff(func_def_2882,type,
    sK1914: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2883,type,
    sK1915: ( fun_rat_bool * rat ) > rat ).

tff(func_def_2884,type,
    sK1916: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2885,type,
    sK1917: ( fun_nat_bool * nat ) > nat ).

tff(func_def_2886,type,
    sK1918: ( fun_int_bool * int ) > int ).

tff(func_def_2887,type,
    sK1919: ( fun_int_bool * int ) > int ).

tff(func_def_2888,type,
    sK1920: ( nat * nat ) > nat ).

tff(func_def_2889,type,
    sK1921: ( nat * nat ) > nat ).

tff(func_def_2890,type,
    sK1922: ( nat * nat ) > nat ).

tff(func_def_2891,type,
    sK1923: ( int * int ) > int ).

tff(func_def_2892,type,
    sK1924: ( nat * nat ) > nat ).

tff(func_def_2893,type,
    sK1925: set_complex > complex ).

tff(func_def_2894,type,
    sK1926: set_complex > complex ).

tff(func_def_2895,type,
    sK1927: set_complex > complex ).

tff(func_def_2896,type,
    sK1928: set_Product_unit > product_unit ).

tff(func_def_2897,type,
    sK1929: set_Product_unit > product_unit ).

tff(func_def_2898,type,
    sK1930: set_Product_unit > product_unit ).

tff(func_def_2899,type,
    sK1931: set_list_nat > list_nat ).

tff(func_def_2900,type,
    sK1932: set_list_nat > list_nat ).

tff(func_def_2901,type,
    sK1933: set_list_nat > list_nat ).

tff(func_def_2902,type,
    sK1934: set_nat > nat ).

tff(func_def_2903,type,
    sK1935: set_nat > nat ).

tff(func_def_2904,type,
    sK1936: set_nat > nat ).

tff(func_def_2905,type,
    sK1937: set_int > int ).

tff(func_def_2906,type,
    sK1938: set_int > int ).

tff(func_def_2907,type,
    sK1939: set_int > int ).

tff(func_def_2908,type,
    sK1940: set_bool > bool ).

tff(func_def_2909,type,
    sK1941: set_bool > bool ).

tff(func_def_2910,type,
    sK1942: set_bool > bool ).

tff(func_def_2911,type,
    sK1943: set_set_nat > set_nat ).

tff(func_def_2912,type,
    sK1944: set_set_nat > set_nat ).

tff(func_def_2913,type,
    sK1945: set_set_nat > set_nat ).

tff(func_def_2914,type,
    sK1946: set_real > real ).

tff(func_def_2915,type,
    sK1947: set_real > real ).

tff(func_def_2916,type,
    sK1948: set_real > real ).

tff(func_def_2917,type,
    sK1949: set_Extended_enat > extended_enat ).

tff(func_def_2918,type,
    sK1950: set_Extended_enat > extended_enat ).

tff(func_def_2919,type,
    sK1951: set_Extended_enat > extended_enat ).

tff(func_def_2920,type,
    sK1952: code_integer > nat ).

tff(func_def_2921,type,
    sK1953: int > nat ).

tff(func_def_2922,type,
    sK1954: nat > nat ).

tff(func_def_2923,type,
    sK1955: int > nat ).

tff(func_def_2924,type,
    sK1956: real > nat ).

tff(func_def_2925,type,
    sK1957: real > nat ).

tff(func_def_2926,type,
    sK1958: real > real ).

tff(func_def_2927,type,
    sK1959: ( real * real ) > real ).

tff(func_def_2928,type,
    sK1960: real ).

tff(func_def_2929,type,
    sK1961: real > real ).

tff(func_def_2930,type,
    sK1962: ( real * real ) > real ).

tff(func_def_2931,type,
    sK1963: ( real * real ) > real ).

tff(func_def_2932,type,
    sK1964: ( real * real ) > real ).

tff(func_def_2933,type,
    sK1965: real > real ).

tff(func_def_2934,type,
    sK1966: complex > real ).

tff(func_def_2935,type,
    sK1967: real > real ).

tff(func_def_2936,type,
    sK1968: real > real ).

tff(func_def_2937,type,
    sK1969: real > real ).

tff(func_def_2938,type,
    sK1970: real > real ).

tff(func_def_2939,type,
    sK1971: real > real ).

tff(func_def_2940,type,
    sK1972: ( list_Extended_enat * fun_Ex8563670519792538868t_bool ) > extended_enat ).

tff(func_def_2941,type,
    sK1973: ( list_real * fun_real_bool ) > real ).

tff(func_def_2942,type,
    sK1974: ( list_set_nat * fun_set_nat_bool ) > set_nat ).

tff(func_def_2943,type,
    sK1975: ( list_int * fun_int_bool ) > int ).

tff(func_def_2944,type,
    sK1976: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2945,type,
    sK1977: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_2946,type,
    sK1978: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2947,type,
    sK1979: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2948,type,
    sK1980: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2949,type,
    sK1981: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2950,type,
    sK1982: vEBT_VEBT > bool ).

tff(func_def_2951,type,
    sK1983: vEBT_VEBT > bool ).

tff(func_def_2952,type,
    sK1984: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_2953,type,
    sK1985: vEBT_VEBT > nat ).

tff(func_def_2954,type,
    sK1986: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_2955,type,
    sK1987: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_2956,type,
    sK1988: ( list_int * list_int ) > nat ).

tff(func_def_2957,type,
    sK1989: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2958,type,
    sK1990: ( list_bool * list_bool ) > nat ).

tff(func_def_2959,type,
    sK1991: ( list_nat * list_nat ) > nat ).

tff(func_def_2960,type,
    sK1992: ( fun_nat_fun_int_bool * nat ) > int ).

tff(func_def_2961,type,
    sK1993: ( nat * fun_nat_fun_int_bool * list_int ) > nat ).

tff(func_def_2962,type,
    sK1994: ( nat * fun_nat_fun_int_bool ) > list_int ).

tff(func_def_2963,type,
    sK1995: ( nat * fun_nat_fun_int_bool ) > nat ).

tff(func_def_2964,type,
    sK1996: ( fun_na2351039247863542899T_bool * nat ) > vEBT_VEBT ).

tff(func_def_2965,type,
    sK1997: ( nat * fun_na2351039247863542899T_bool * list_VEBT_VEBT ) > nat ).

tff(func_def_2966,type,
    sK1998: ( nat * fun_na2351039247863542899T_bool ) > list_VEBT_VEBT ).

tff(func_def_2967,type,
    sK1999: ( nat * fun_na2351039247863542899T_bool ) > nat ).

tff(func_def_2968,type,
    sK2000: ( fun_na9137082442855928016l_bool * nat ) > bool ).

tff(func_def_2969,type,
    sK2001: ( nat * fun_na9137082442855928016l_bool * list_bool ) > nat ).

tff(func_def_2970,type,
    sK2002: ( nat * fun_na9137082442855928016l_bool ) > list_bool ).

tff(func_def_2971,type,
    sK2003: ( nat * fun_na9137082442855928016l_bool ) > nat ).

tff(func_def_2972,type,
    sK2004: ( fun_nat_fun_nat_bool * nat ) > nat ).

tff(func_def_2973,type,
    sK2005: ( nat * fun_nat_fun_nat_bool * list_nat ) > nat ).

tff(func_def_2974,type,
    sK2006: ( nat * fun_nat_fun_nat_bool ) > list_nat ).

tff(func_def_2975,type,
    sK2007: ( nat * fun_nat_fun_nat_bool ) > nat ).

tff(func_def_2976,type,
    sK2008: ( list_int * list_int ) > nat ).

tff(func_def_2977,type,
    sK2009: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2978,type,
    sK2010: ( list_bool * list_bool ) > nat ).

tff(func_def_2979,type,
    sK2011: ( list_nat * list_nat ) > nat ).

tff(func_def_2980,type,
    sK2012: ( list_int * fun_int_bool ) > int ).

tff(func_def_2981,type,
    sK2013: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_2982,type,
    sK2014: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_2983,type,
    sK2015: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2984,type,
    sK2016: ( extended_enat * list_Extended_enat ) > nat ).

tff(func_def_2985,type,
    sK2017: ( real * list_real ) > nat ).

tff(func_def_2986,type,
    sK2018: ( set_nat * list_set_nat ) > nat ).

tff(func_def_2987,type,
    sK2019: ( int * list_int ) > nat ).

tff(func_def_2988,type,
    sK2020: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2989,type,
    sK2021: ( bool * list_bool ) > nat ).

tff(func_def_2990,type,
    sK2022: ( nat * list_nat ) > nat ).

tff(func_def_2991,type,
    sK2023: ( list_Extended_enat * fun_Ex8563670519792538868t_bool ) > nat ).

tff(func_def_2992,type,
    sK2024: ( list_real * fun_real_bool ) > nat ).

tff(func_def_2993,type,
    sK2025: ( list_set_nat * fun_set_nat_bool ) > nat ).

tff(func_def_2994,type,
    sK2026: ( list_int * fun_int_bool ) > nat ).

tff(func_def_2995,type,
    sK2027: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_2996,type,
    sK2028: ( list_bool * fun_bool_bool ) > nat ).

tff(func_def_2997,type,
    sK2029: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_2998,type,
    sK2030: ( list_int * fun_int_bool ) > nat ).

tff(func_def_2999,type,
    sK2031: ( list_int * fun_int_bool ) > int ).

tff(func_def_3000,type,
    sK2032: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > nat ).

tff(func_def_3001,type,
    sK2033: ( list_VEBT_VEBT * fun_VEBT_VEBT_bool ) > vEBT_VEBT ).

tff(func_def_3002,type,
    sK2034: ( list_bool * fun_bool_bool ) > nat ).

tff(func_def_3003,type,
    sK2035: ( list_bool * fun_bool_bool ) > bool ).

tff(func_def_3004,type,
    sK2036: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_3005,type,
    sK2037: ( list_nat * fun_nat_bool ) > nat ).

tff(func_def_3006,type,
    sK2038: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3007,type,
    sK2039: list_VEBT_VEBT > nat ).

tff(func_def_3008,type,
    sK2040: vEBT_VEBT > nat ).

tff(func_def_3009,type,
    sK2041: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3010,type,
    sK2042: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3011,type,
    sK2043: list_VEBT_VEBT > nat ).

tff(func_def_3012,type,
    sK2044: vEBT_VEBT > nat ).

tff(func_def_3013,type,
    sK2045: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3014,type,
    sK2046: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3015,type,
    sK2047: vEBT_VEBT > nat ).

tff(func_def_3016,type,
    sK2048: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3017,type,
    sK2049: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3018,type,
    sK2050: vEBT_VEBT > nat ).

tff(func_def_3019,type,
    sK2051: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3020,type,
    sK2052: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3021,type,
    sK2053: vEBT_VEBT > bool ).

tff(func_def_3022,type,
    sK2054: vEBT_VEBT > bool ).

tff(func_def_3023,type,
    sK2055: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3024,type,
    sK2056: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3025,type,
    sK2057: vEBT_VEBT > bool ).

tff(func_def_3026,type,
    sK2058: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3027,type,
    sK2059: vEBT_VEBT > nat ).

tff(func_def_3028,type,
    sK2060: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3029,type,
    sK2061: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3030,type,
    sK2062: vEBT_VEBT > nat ).

tff(func_def_3031,type,
    sK2063: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3032,type,
    sK2064: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3033,type,
    sK2065: vEBT_VEBT > bool ).

tff(func_def_3034,type,
    sK2066: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3035,type,
    sK2067: vEBT_VEBT > nat ).

tff(func_def_3036,type,
    sK2068: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3037,type,
    sK2069: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3038,type,
    sK2070: vEBT_VEBT > bool ).

tff(func_def_3039,type,
    sK2071: vEBT_VEBT > bool ).

tff(func_def_3040,type,
    sK2072: vEBT_VEBT > nat ).

tff(func_def_3041,type,
    sK2073: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3042,type,
    sK2074: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3043,type,
    sK2075: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3044,type,
    sK2076: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3045,type,
    sK2077: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3046,type,
    sK2078: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3047,type,
    sK2079: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3048,type,
    sK2080: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3049,type,
    sK2081: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3050,type,
    sK2082: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3051,type,
    sK2083: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3052,type,
    sK2084: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3053,type,
    sK2085: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3054,type,
    sK2086: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3055,type,
    sK2087: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3056,type,
    sK2088: vEBT_VEBT > nat ).

tff(func_def_3057,type,
    sK2089: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3058,type,
    sK2090: list_VEBT_VEBT > nat ).

tff(func_def_3059,type,
    sK2091: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3060,type,
    sK2092: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3061,type,
    sK2093: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3062,type,
    sK2094: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3063,type,
    sK2095: vEBT_VEBT > nat ).

tff(func_def_3064,type,
    sK2096: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3065,type,
    sK2097: list_VEBT_VEBT > nat ).

tff(func_def_3066,type,
    sK2098: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3067,type,
    sK2099: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3068,type,
    sK2100: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3069,type,
    sK2101: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3070,type,
    sK2102: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3071,type,
    sK2103: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3072,type,
    sK2104: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3073,type,
    sK2105: list_VEBT_VEBT > nat ).

tff(func_def_3074,type,
    sK2106: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3075,type,
    sK2107: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3076,type,
    sK2108: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3077,type,
    sK2109: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3078,type,
    sK2110: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3079,type,
    sK2111: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3080,type,
    sK2112: list_VEBT_VEBT > nat ).

tff(func_def_3081,type,
    sK2113: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3082,type,
    sK2114: ( nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3083,type,
    sK2115: vEBT_VEBT > bool ).

tff(func_def_3084,type,
    sK2116: vEBT_VEBT > bool ).

tff(func_def_3085,type,
    sK2117: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3086,type,
    sK2118: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3087,type,
    sK2119: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3088,type,
    sK2120: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3089,type,
    sK2121: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3090,type,
    sK2122: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3091,type,
    sK2123: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3092,type,
    sK2124: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3093,type,
    sK2125: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3094,type,
    sK2126: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3095,type,
    sK2127: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3096,type,
    sK2128: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3097,type,
    sK2129: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3098,type,
    sK2130: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3099,type,
    sK2131: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3100,type,
    sK2132: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3101,type,
    sK2133: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3102,type,
    sK2134: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3103,type,
    sK2135: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3104,type,
    sK2136: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3105,type,
    sK2137: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3106,type,
    sK2138: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3107,type,
    sK2139: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3108,type,
    sK2140: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3109,type,
    sK2141: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3110,type,
    sK2142: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3111,type,
    sK2143: vEBT_VEBT > bool ).

tff(func_def_3112,type,
    sK2144: vEBT_VEBT > bool ).

tff(func_def_3113,type,
    sK2145: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3114,type,
    sK2146: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3115,type,
    sK2147: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3116,type,
    sK2148: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3117,type,
    sK2149: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3118,type,
    sK2150: list_VEBT_VEBT > nat ).

tff(func_def_3119,type,
    sK2151: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3120,type,
    sK2152: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3121,type,
    sK2153: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3122,type,
    sK2154: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3123,type,
    sK2155: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3124,type,
    sK2156: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3125,type,
    sK2157: list_VEBT_VEBT > nat ).

tff(func_def_3126,type,
    sK2158: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3127,type,
    sK2159: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_3128,type,
    sK2160: produc9072475918466114483BT_nat > nat ).

tff(func_def_3129,type,
    sK2161: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3130,type,
    sK2162: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3131,type,
    sK2163: produc9072475918466114483BT_nat > nat ).

tff(func_def_3132,type,
    sK2164: produc9072475918466114483BT_nat > bool ).

tff(func_def_3133,type,
    sK2165: produc9072475918466114483BT_nat > bool ).

tff(func_def_3134,type,
    sK2166: produc9072475918466114483BT_nat > nat ).

tff(func_def_3135,type,
    sK2167: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_3136,type,
    sK2168: produc9072475918466114483BT_nat > nat ).

tff(func_def_3137,type,
    sK2169: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3138,type,
    sK2170: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3139,type,
    sK2171: produc9072475918466114483BT_nat > nat ).

tff(func_def_3140,type,
    sK2172: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_3141,type,
    sK2173: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3142,type,
    sK2174: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3143,type,
    sK2175: produc9072475918466114483BT_nat > nat ).

tff(func_def_3144,type,
    sK2176: produc9072475918466114483BT_nat > bool ).

tff(func_def_3145,type,
    sK2177: produc9072475918466114483BT_nat > bool ).

tff(func_def_3146,type,
    sK2178: produc9072475918466114483BT_nat > nat ).

tff(func_def_3147,type,
    sK2179: produc9072475918466114483BT_nat > nat ).

tff(func_def_3148,type,
    sK2180: produc9072475918466114483BT_nat > nat ).

tff(func_def_3149,type,
    sK2181: produc9072475918466114483BT_nat > nat ).

tff(func_def_3150,type,
    sK2182: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3151,type,
    sK2183: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3152,type,
    sK2184: produc9072475918466114483BT_nat > nat ).

tff(func_def_3153,type,
    sK2185: produc9072475918466114483BT_nat > nat ).

tff(func_def_3154,type,
    sK2186: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3155,type,
    sK2187: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3156,type,
    sK2188: produc9072475918466114483BT_nat > nat ).

tff(func_def_3157,type,
    sK2189: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_3158,type,
    sK2190: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3159,type,
    sK2191: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3160,type,
    sK2192: produc9072475918466114483BT_nat > nat ).

tff(func_def_3161,type,
    sK2193: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_3162,type,
    sK2194: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3163,type,
    sK2195: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3164,type,
    sK2196: produc9072475918466114483BT_nat > nat ).

tff(func_def_3165,type,
    sK2197: produc9072475918466114483BT_nat > bool ).

tff(func_def_3166,type,
    sK2198: produc9072475918466114483BT_nat > bool ).

tff(func_def_3167,type,
    sK2199: produc9072475918466114483BT_nat > nat ).

tff(func_def_3168,type,
    sK2200: produc9072475918466114483BT_nat > nat ).

tff(func_def_3169,type,
    sK2201: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3170,type,
    sK2202: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3171,type,
    sK2203: produc9072475918466114483BT_nat > nat ).

tff(func_def_3172,type,
    sK2204: produc9072475918466114483BT_nat > nat ).

tff(func_def_3173,type,
    sK2205: produc9072475918466114483BT_nat > nat ).

tff(func_def_3174,type,
    sK2206: produc9072475918466114483BT_nat > nat ).

tff(func_def_3175,type,
    sK2207: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3176,type,
    sK2208: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3177,type,
    sK2209: produc9072475918466114483BT_nat > nat ).

tff(func_def_3178,type,
    sK2210: produc9072475918466114483BT_nat > nat ).

tff(func_def_3179,type,
    sK2211: produc9072475918466114483BT_nat > nat ).

tff(func_def_3180,type,
    sK2212: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3181,type,
    sK2213: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3182,type,
    sK2214: produc9072475918466114483BT_nat > nat ).

tff(func_def_3183,type,
    sK2215: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3184,type,
    sK2216: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3185,type,
    sK2217: produc9072475918466114483BT_nat > nat ).

tff(func_def_3186,type,
    sK2218: produc9072475918466114483BT_nat > bool ).

tff(func_def_3187,type,
    sK2219: produc9072475918466114483BT_nat > bool ).

tff(func_def_3188,type,
    sK2220: produc9072475918466114483BT_nat > nat ).

tff(func_def_3189,type,
    sK2221: produc9072475918466114483BT_nat > nat ).

tff(func_def_3190,type,
    sK2222: produc9072475918466114483BT_nat > nat ).

tff(func_def_3191,type,
    sK2223: produc9072475918466114483BT_nat > nat ).

tff(func_def_3192,type,
    sK2224: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3193,type,
    sK2225: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3194,type,
    sK2226: produc9072475918466114483BT_nat > nat ).

tff(func_def_3195,type,
    sK2227: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_3196,type,
    sK2228: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3197,type,
    sK2229: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3198,type,
    sK2230: produc9072475918466114483BT_nat > nat ).

tff(func_def_3199,type,
    sK2231: produc9072475918466114483BT_nat > product_prod_nat_nat ).

tff(func_def_3200,type,
    sK2232: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3201,type,
    sK2233: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3202,type,
    sK2234: produc9072475918466114483BT_nat > nat ).

tff(func_def_3203,type,
    sK2235: produc9072475918466114483BT_nat > nat ).

tff(func_def_3204,type,
    sK2236: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_3205,type,
    sK2237: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_3206,type,
    sK2238: produc9072475918466114483BT_nat > nat ).

tff(func_def_3207,type,
    sK2239: produc9072475918466114483BT_nat > bool ).

tff(func_def_3208,type,
    sK2240: produc9072475918466114483BT_nat > bool ).

tff(func_def_3209,type,
    sK2241: produc9072475918466114483BT_nat > nat ).

tff(func_def_3210,type,
    sK2242: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3211,type,
    sK2243: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3212,type,
    sK2244: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3213,type,
    sK2245: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3214,type,
    sK2246: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3215,type,
    sK2247: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3216,type,
    sK2248: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3217,type,
    sK2249: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3218,type,
    sK2250: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3219,type,
    sK2251: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3220,type,
    sK2252: ( int * int * product_prod_int_int ) > int ).

tff(func_def_3221,type,
    sK2253: ( vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3222,type,
    sK2254: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3223,type,
    sK2255: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3224,type,
    sK2256: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3225,type,
    sK2257: ( vEBT_VEBT * nat * vEBT_VEBT ) > bool ).

tff(func_def_3226,type,
    sK2258: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3227,type,
    sK2259: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3228,type,
    sK2260: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3229,type,
    sK2261: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3230,type,
    sK2262: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3231,type,
    sK2263: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3232,type,
    sK2264: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3233,type,
    sK2265: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3234,type,
    sK2266: ( vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3235,type,
    sK2267: ( vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3236,type,
    sK2268: ( vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3237,type,
    sK2269: vEBT_VEBT > nat ).

tff(func_def_3238,type,
    sK2270: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3239,type,
    sK2271: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3240,type,
    sK2272: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_3241,type,
    sK2273: ( bool * nat * vEBT_VEBT ) > bool ).

tff(func_def_3242,type,
    sK2274: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3243,type,
    sK2275: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3244,type,
    sK2276: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3245,type,
    sK2277: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3246,type,
    sK2278: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3247,type,
    sK2279: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3248,type,
    sK2280: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3249,type,
    sK2281: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3250,type,
    sK2282: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3251,type,
    sK2283: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3252,type,
    sK2284: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3253,type,
    sK2285: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3254,type,
    sK2286: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3255,type,
    sK2287: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3256,type,
    sK2288: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3257,type,
    sK2289: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3258,type,
    sK2290: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3259,type,
    sK2291: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3260,type,
    sK2292: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3261,type,
    sK2293: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3262,type,
    sK2294: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3263,type,
    sK2295: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3264,type,
    sK2296: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3265,type,
    sK2297: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3266,type,
    sK2298: vEBT_VEBT > nat ).

tff(func_def_3267,type,
    sK2299: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3268,type,
    sK2300: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3269,type,
    sK2301: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3270,type,
    sK2302: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_3271,type,
    sK2303: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > int ).

tff(func_def_3272,type,
    sK2304: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > int ).

tff(func_def_3273,type,
    sK2305: fun_nat_nat > nat ).

tff(func_def_3274,type,
    sK2306: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3275,type,
    sK2307: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3276,type,
    sK2308: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3277,type,
    sK2309: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3278,type,
    sK2310: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_3279,type,
    sK2311: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3280,type,
    sK2312: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3281,type,
    sK2313: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_3282,type,
    sK2314: ( vEBT_VEBT * nat * bool ) > bool ).

tff(func_def_3283,type,
    sK2315: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3284,type,
    sK2316: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3285,type,
    sK2317: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3286,type,
    sK2318: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3287,type,
    sK2319: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3288,type,
    sK2320: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3289,type,
    sK2321: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3290,type,
    sK2322: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3291,type,
    sK2323: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3292,type,
    sK2324: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3293,type,
    sK2325: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3294,type,
    sK2326: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3295,type,
    sK2327: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_3296,type,
    sK2328: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3297,type,
    sK2329: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3298,type,
    sK2330: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3299,type,
    sK2331: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3300,type,
    sK2332: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3301,type,
    sK2333: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3302,type,
    sK2334: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3303,type,
    sK2335: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3304,type,
    sK2336: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3305,type,
    sK2337: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3306,type,
    sK2338: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3307,type,
    sK2339: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3308,type,
    sK2340: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3309,type,
    sK2341: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3310,type,
    sK2342: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3311,type,
    sK2343: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3312,type,
    sK2344: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3313,type,
    sK2345: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3314,type,
    sK2346: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3315,type,
    sK2347: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3316,type,
    sK2348: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3317,type,
    sK2349: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3318,type,
    sK2350: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3319,type,
    sK2351: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3320,type,
    sK2352: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3321,type,
    sK2353: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3322,type,
    sK2354: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3323,type,
    sK2355: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3324,type,
    sK2356: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3325,type,
    sK2357: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3326,type,
    sK2358: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3327,type,
    sK2359: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3328,type,
    sK2360: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3329,type,
    sK2361: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3330,type,
    sK2362: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3331,type,
    sK2363: vEBT_VEBT > bool ).

tff(func_def_3332,type,
    sK2364: vEBT_VEBT > bool ).

tff(func_def_3333,type,
    sK2365: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3334,type,
    sK2366: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3335,type,
    sK2367: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3336,type,
    sK2368: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3337,type,
    sK2369: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3338,type,
    sK2370: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3339,type,
    sK2371: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3340,type,
    sK2372: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3341,type,
    sK2373: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3342,type,
    sK2374: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3343,type,
    sK2375: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3344,type,
    sK2376: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3345,type,
    sK2377: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3346,type,
    sK2378: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3347,type,
    sK2379: vEBT_VEBT > bool ).

tff(func_def_3348,type,
    sK2380: vEBT_VEBT > bool ).

tff(func_def_3349,type,
    sK2381: ( nat * vEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3350,type,
    sK2382: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3351,type,
    sK2383: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3352,type,
    sK2384: ( nat * vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3353,type,
    sK2385: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3354,type,
    sK2386: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3355,type,
    sK2387: ( nat * vEBT_VEBT * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3356,type,
    sK2388: ( nat * vEBT_VEBT * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3357,type,
    sK2389: ( nat * vEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3358,type,
    sK2390: ( nat * vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3359,type,
    sK2391: ( nat * vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3360,type,
    sK2392: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3361,type,
    sK2393: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3362,type,
    sK2394: ( vEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_3363,type,
    sK2395: ( vEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3364,type,
    sK2396: ( vEBT_VEBT * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3365,type,
    sK2397: ( nat * bool * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_3366,type,
    sK2398: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3367,type,
    sK2399: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3368,type,
    sK2400: ( nat * bool * vEBT_VEBT ) > product_prod_nat_nat ).

tff(func_def_3369,type,
    sK2401: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3370,type,
    sK2402: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3371,type,
    sK2403: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3372,type,
    sK2404: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3373,type,
    sK2405: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3374,type,
    sK2406: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3375,type,
    sK2407: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3376,type,
    sK2408: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3377,type,
    sK2409: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3378,type,
    sK2410: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3379,type,
    sK2411: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3380,type,
    sK2412: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3381,type,
    sK2413: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3382,type,
    sK2414: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3383,type,
    sK2415: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3384,type,
    sK2416: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3385,type,
    sK2417: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3386,type,
    sK2418: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3387,type,
    sK2419: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3388,type,
    sK2420: ( vEBT_VEBT * nat ) > product_prod_nat_nat ).

tff(func_def_3389,type,
    sK2421: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3390,type,
    sK2422: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3391,type,
    sK2423: ( vEBT_VEBT * nat ) > product_prod_nat_nat ).

tff(func_def_3392,type,
    sK2424: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3393,type,
    sK2425: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3394,type,
    sK2426: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3395,type,
    sK2427: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3396,type,
    sK2428: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3397,type,
    sK2429: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3398,type,
    sK2430: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3399,type,
    sK2431: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3400,type,
    sK2432: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3401,type,
    sK2433: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3402,type,
    sK2434: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3403,type,
    sK2435: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_3404,type,
    sK2436: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3405,type,
    sK2437: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3406,type,
    sK2438: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3407,type,
    sK2439: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3408,type,
    sK2440: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3409,type,
    sK2441: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3410,type,
    sK2442: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3411,type,
    sK2443: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3412,type,
    sK2444: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3413,type,
    sK2445: ( nat * vEBT_VEBT ) > bool ).

tff(func_def_3414,type,
    sK2446: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3415,type,
    sK2447: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3416,type,
    sK2448: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3417,type,
    sK2449: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3418,type,
    sK2450: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3419,type,
    sK2451: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3420,type,
    sK2452: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3421,type,
    sK2453: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3422,type,
    sK2454: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3423,type,
    sK2455: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3424,type,
    sK2456: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3425,type,
    sK2457: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3426,type,
    sK2458: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3427,type,
    sK2459: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3428,type,
    sK2460: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3429,type,
    sK2461: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3430,type,
    sK2462: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3431,type,
    sK2463: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3432,type,
    sK2464: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3433,type,
    sK2465: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3434,type,
    sK2466: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3435,type,
    sK2467: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3436,type,
    sK2468: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3437,type,
    sK2469: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3438,type,
    sK2470: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3439,type,
    sK2471: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3440,type,
    sK2472: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3441,type,
    sK2473: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3442,type,
    sK2474: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3443,type,
    sK2475: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3444,type,
    sK2476: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3445,type,
    sK2477: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3446,type,
    sK2478: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3447,type,
    sK2479: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3448,type,
    sK2480: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3449,type,
    sK2481: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3450,type,
    sK2482: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3451,type,
    sK2483: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3452,type,
    sK2484: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3453,type,
    sK2485: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3454,type,
    sK2486: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3455,type,
    sK2487: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3456,type,
    sK2488: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3457,type,
    sK2489: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3458,type,
    sK2490: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3459,type,
    sK2491: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3460,type,
    sK2492: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3461,type,
    sK2493: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3462,type,
    sK2494: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3463,type,
    sK2495: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3464,type,
    sK2496: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3465,type,
    sK2497: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3466,type,
    sK2498: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3467,type,
    sK2499: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3468,type,
    sK2500: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3469,type,
    sK2501: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3470,type,
    sK2502: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3471,type,
    sK2503: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3472,type,
    sK2504: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3473,type,
    sK2505: ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff(func_def_3474,type,
    sK2506: fun_nat_real > nat ).

tff(func_def_3475,type,
    sK2507: fun_nat_real > nat ).

tff(func_def_3476,type,
    sK2508: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3477,type,
    sK2509: ( nat * real ) > real ).

tff(func_def_3478,type,
    sK2510: ( real * nat ) > real ).

tff(func_def_3479,type,
    sK2511: ( real * nat ) > real ).

tff(func_def_3480,type,
    sK2512: set_nat > nat ).

tff(func_def_3481,type,
    sK2513: set_nat > nat ).

tff(func_def_3482,type,
    sK2514: ( real * fun_real_real * fun_nat_real * nat ) > real ).

tff(func_def_3483,type,
    sK2515: ( real * nat ) > real ).

tff(func_def_3484,type,
    sK2516: ( fun_nat_real * nat ) > nat ).

tff(func_def_3485,type,
    sK2517: ( real * nat ) > real ).

tff(func_def_3486,type,
    sK2518: ( real * nat ) > real ).

tff(func_def_3487,type,
    sK2519: ( nat * real ) > real ).

tff(func_def_3488,type,
    sK2520: ( real * nat ) > real ).

tff(func_def_3489,type,
    sK2521: set_nat > nat ).

tff(func_def_3490,type,
    sK2522: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3491,type,
    sK2523: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3492,type,
    sK2524: fun_int_fun_int_bool > int ).

tff(func_def_3493,type,
    sK2525: fun_int_fun_int_bool > int ).

tff(func_def_3494,type,
    sK2526: ( bool * vEBT_VEBT ) > nat ).

tff(func_def_3495,type,
    sK2527: ( bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3496,type,
    sK2528: ( bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3497,type,
    sK2529: ( bool * vEBT_VEBT ) > bool ).

tff(func_def_3498,type,
    sK2530: ( bool * vEBT_VEBT ) > bool ).

tff(func_def_3499,type,
    sK2531: ( vEBT_VEBT * bool ) > product_prod_nat_nat ).

tff(func_def_3500,type,
    sK2532: ( vEBT_VEBT * bool ) > nat ).

tff(func_def_3501,type,
    sK2533: ( vEBT_VEBT * bool ) > list_VEBT_VEBT ).

tff(func_def_3502,type,
    sK2534: ( vEBT_VEBT * bool ) > vEBT_VEBT ).

tff(func_def_3503,type,
    sK2535: vEBT_VEBT > product_prod_nat_nat ).

tff(func_def_3504,type,
    sK2536: vEBT_VEBT > nat ).

tff(func_def_3505,type,
    sK2537: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3506,type,
    sK2538: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3507,type,
    sK2539: vEBT_VEBT > bool ).

tff(func_def_3508,type,
    sK2540: vEBT_VEBT > bool ).

tff(func_def_3509,type,
    sK2541: vEBT_VEBT > nat ).

tff(func_def_3510,type,
    sK2542: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3511,type,
    sK2543: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3512,type,
    sK2544: rat > rat ).

tff(func_def_3513,type,
    sK2545: rat > rat ).

tff(func_def_3514,type,
    sK2546: ( fun_nat_bool * fun_nat_bool ) > nat ).

tff(func_def_3515,type,
    sK2547: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3516,type,
    sK2548: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3517,type,
    sK2549: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3518,type,
    sK2550: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3519,type,
    sK2551: ( fun_nat_nat * nat ) > nat ).

tff(func_def_3520,type,
    sK2552: ( fun_nat_nat * nat ) > nat ).

tff(func_def_3521,type,
    sK2553: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3522,type,
    sK2554: ( nat * fun_nat_nat ) > nat ).

tff(func_def_3523,type,
    sK2555: set_nat > fun_nat_nat ).

tff(func_def_3524,type,
    sK2556: fun_rat_bool > int ).

tff(func_def_3525,type,
    sK2557: fun_rat_bool > int ).

tff(func_def_3526,type,
    sK2558: set_int > int ).

tff(func_def_3527,type,
    sK2559: set_int > int ).

tff(func_def_3528,type,
    sK2560: fun_nat_real > nat ).

tff(func_def_3529,type,
    sK2561: ( real * real * fun_real_real ) > real ).

tff(func_def_3530,type,
    sK2562: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3531,type,
    sK2563: ( real * real * fun_real_real ) > real ).

tff(func_def_3532,type,
    sK2564: ( real * real * fun_real_real ) > real ).

tff(func_def_3533,type,
    sK2565: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3534,type,
    sK2566: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3535,type,
    sK2567: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3536,type,
    sK2568: ( fun_real_real * real * set_real ) > real ).

tff(func_def_3537,type,
    sK2569: ( real * real * fun_real_real ) > real ).

tff(func_def_3538,type,
    sK2570: ( real * real * fun_real_real ) > real ).

tff(func_def_3539,type,
    sK2571: ( fun_real_real * real ) > real ).

tff(func_def_3540,type,
    sK2572: ( fun_real_real * real ) > real ).

tff(func_def_3541,type,
    sK2573: ( fun_real_real * real ) > real ).

tff(func_def_3542,type,
    sK2574: ( fun_real_real * real ) > real ).

tff(func_def_3543,type,
    sK2575: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3544,type,
    sK2576: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3545,type,
    sK2577: ( fun_real_real * real * real ) > real ).

tff(func_def_3546,type,
    sK2578: ( fun_real_real * real * real ) > real ).

tff(func_def_3547,type,
    sK2579: ( fun_real_real * real * real ) > real ).

tff(func_def_3548,type,
    sK2580: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_3549,type,
    sK2581: fun_na6724076748692969250l_real > nat ).

tff(func_def_3550,type,
    sK2582: fun_na6724076748692969250l_real > real ).

tff(func_def_3551,type,
    sK2583: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_3552,type,
    sK2584: fun_na6724076748692969250l_real > nat ).

tff(func_def_3553,type,
    sK2585: fun_na6724076748692969250l_real > real ).

tff(func_def_3554,type,
    sK2586: ( fun_na6724076748692969250l_real * nat * real ) > nat ).

tff(func_def_3555,type,
    sK2587: ( fun_na6724076748692969250l_real * nat * real ) > real ).

tff(func_def_3556,type,
    sK2588: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_3557,type,
    sK2589: ( fun_na6724076748692969250l_real * nat * real ) > nat ).

tff(func_def_3558,type,
    sK2590: ( fun_na6724076748692969250l_real * nat * real ) > real ).

tff(func_def_3559,type,
    sK2591: ( real * fun_na6724076748692969250l_real * fun_real_real * nat ) > real ).

tff(func_def_3560,type,
    sK2592: ( fun_na6724076748692969250l_real * nat * real ) > nat ).

tff(func_def_3561,type,
    sK2593: ( fun_na6724076748692969250l_real * nat * real ) > real ).

tff(func_def_3562,type,
    sK2594: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_3563,type,
    sK2595: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_3564,type,
    sK2596: fun_na6724076748692969250l_real > nat ).

tff(func_def_3565,type,
    sK2597: fun_na6724076748692969250l_real > real ).

tff(func_def_3566,type,
    sK2598: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_3567,type,
    sK2599: ( fun_na6724076748692969250l_real * nat * real ) > nat ).

tff(func_def_3568,type,
    sK2600: ( fun_na6724076748692969250l_real * nat * real ) > real ).

tff(func_def_3569,type,
    sK2601: ( fun_na6724076748692969250l_real * nat * real * real ) > nat ).

tff(func_def_3570,type,
    sK2602: ( fun_na6724076748692969250l_real * nat * real * real ) > real ).

tff(func_def_3571,type,
    sK2603: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_3572,type,
    sK2604: ( fun_na6724076748692969250l_real * nat * real * real ) > nat ).

tff(func_def_3573,type,
    sK2605: ( fun_na6724076748692969250l_real * nat * real * real ) > real ).

tff(func_def_3574,type,
    sK2606: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_3575,type,
    sK2607: ( real * real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_3576,type,
    sK2608: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_3577,type,
    sK2609: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_3578,type,
    sK2610: ( nat * real * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_3579,type,
    sK2611: ( nat * real * fun_na6724076748692969250l_real ) > real ).

tff(func_def_3580,type,
    sK2612: ( real * fun_nat_real ) > real ).

tff(func_def_3581,type,
    sK2613: ( real * real * fun_real_real ) > real ).

tff(func_def_3582,type,
    sK2614: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > nat ).

tff(func_def_3583,type,
    sK2615: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > real ).

tff(func_def_3584,type,
    sK2616: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > real ).

tff(func_def_3585,type,
    sK2617: ( fun_re4238438383274954274t_real * real * real ) > real ).

tff(func_def_3586,type,
    sK2618: ( fun_re4238438383274954274t_real * fun_re4238438383274954274t_real * real ) > nat ).

tff(func_def_3587,type,
    sK2619: ( fun_real_real * real * real ) > real ).

tff(func_def_3588,type,
    sK2620: ( fun_real_real * real * real ) > real ).

tff(func_def_3589,type,
    sK2621: ( fun_real_real * real * real * real ) > real ).

tff(func_def_3590,type,
    sK2622: ( real * real * fun_real_real ) > real ).

tff(func_def_3591,type,
    sK2623: ( fun_real_real * real ) > real ).

tff(func_def_3592,type,
    sK2624: ( fun_real_real * real ) > real ).

tff(func_def_3593,type,
    sK2625: ( fun_real_real * real ) > real ).

tff(func_def_3594,type,
    sK2626: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3595,type,
    sK2627: ( real * real * fun_real_real ) > real ).

tff(func_def_3596,type,
    sK2628: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3597,type,
    sK2629: ( real * real * fun_real_real ) > real ).

tff(func_def_3598,type,
    sK2630: ( real * real * fun_real_real ) > real ).

tff(func_def_3599,type,
    sK2631: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3600,type,
    sK2632: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3601,type,
    sK2633: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3602,type,
    sK2634: ( fun_real_real * real * real ) > real ).

tff(func_def_3603,type,
    sK2635: ( fun_real_real * real * real ) > real ).

tff(func_def_3604,type,
    sK2636: ( real * real * fun_real_real * fun_real_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_3605,type,
    sK2637: fun_nat_real > nat ).

tff(func_def_3606,type,
    sK2638: fun_nat_real > nat ).

tff(func_def_3607,type,
    sK2639: fun_nat_real > real ).

tff(func_def_3608,type,
    sK2640: ( fun_nat_real * real ) > nat ).

tff(func_def_3609,type,
    sK2641: ( fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3610,type,
    sK2642: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3611,type,
    sK2643: fun_nat_real > nat ).

tff(func_def_3612,type,
    sK2644: fun_nat_real > nat ).

tff(func_def_3613,type,
    sK2645: fun_nat_real > real ).

tff(func_def_3614,type,
    sK2646: ( fun_nat_real * nat ) > nat ).

tff(func_def_3615,type,
    sK2647: ( fun_nat_real * real ) > real ).

tff(func_def_3616,type,
    sK2648: ( fun_nat_real * real ) > nat ).

tff(func_def_3617,type,
    sK2649: fun_nat_real > nat ).

tff(func_def_3618,type,
    sK2650: fun_nat_real > nat ).

tff(func_def_3619,type,
    sK2651: fun_nat_real > nat ).

tff(func_def_3620,type,
    sK2652: fun_nat_real > nat ).

tff(func_def_3621,type,
    sK2653: fun_nat_real > nat ).

tff(func_def_3622,type,
    sK2654: fun_nat_real > nat ).

tff(func_def_3623,type,
    sK2655: fun_nat_real > nat ).

tff(func_def_3624,type,
    sK2656: fun_nat_real > real ).

tff(func_def_3625,type,
    sK2657: fun_nat_real > nat ).

tff(func_def_3626,type,
    sK2658: fun_nat_real > nat ).

tff(func_def_3627,type,
    sK2659: fun_nat_real > nat ).

tff(func_def_3628,type,
    sK2660: fun_nat_real > nat ).

tff(func_def_3629,type,
    sK2661: ( real * fun_real_real ) > real ).

tff(func_def_3630,type,
    sK2662: ( real * fun_real_real ) > real ).

tff(func_def_3631,type,
    sK2663: ( fun_real_real * real * real ) > real ).

tff(func_def_3632,type,
    sK2664: ( fun_real_real * real * real ) > real ).

tff(func_def_3633,type,
    sK2665: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3634,type,
    sK2666: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3635,type,
    sK2667: ( fun_real_real * fun_real_real * real * real ) > real ).

tff(func_def_3636,type,
    sK2668: ( real * real ) > real ).

tff(func_def_3637,type,
    sK2669: ( real * real ) > real ).

tff(func_def_3638,type,
    sK2670: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3639,type,
    sK2671: fun_nat_bool > nat ).

tff(func_def_3640,type,
    sK2672: ( nat * fun_nat_bool ) > nat ).

tff(func_def_3641,type,
    sK2673: filter_nat > nat ).

tff(func_def_3642,type,
    sK2674: ( real * real * fun_real_real ) > real ).

tff(func_def_3643,type,
    sK2675: ( real * real * fun_real_real ) > real ).

tff(func_def_3644,type,
    sK2676: ( real * real ) > real ).

tff(func_def_3645,type,
    sK2677: ( real * real * fun_real_real ) > real ).

tff(func_def_3646,type,
    sK2678: ( real * real * fun_real_real ) > real ).

tff(func_def_3647,type,
    sK2679: ( set_real * fun_real_real ) > real ).

tff(func_def_3648,type,
    sK2680: ( real * real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_3649,type,
    sK2681: ( real * real ) > real ).

tff(func_def_3650,type,
    sK2682: ( real * real * fun_real_real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_3651,type,
    sK2683: ( real * real ) > real ).

tff(func_def_3652,type,
    sK2684: ( real * real * fun_real_real ) > real ).

tff(func_def_3653,type,
    sK2685: ( real * real * fun_real_real ) > real ).

tff(func_def_3654,type,
    sK2686: ( real * real * fun_real_real ) > real ).

tff(func_def_3655,type,
    sK2687: ( real * real * fun_real_real ) > real ).

tff(func_def_3656,type,
    sK2688: ( real * real * fun_real_real ) > real ).

tff(func_def_3657,type,
    sK2689: ( real * real ) > real ).

tff(func_def_3658,type,
    sK2690: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3659,type,
    sK2691: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3660,type,
    sK2692: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3661,type,
    sK2693: ( fun_Pr7757163693017731481t_bool * nat ) > nat ).

tff(func_def_3662,type,
    sK2694: ( fun_Pr7757163693017731481t_bool * nat ) > nat ).

tff(func_def_3663,type,
    sK2695: fun_Pr7757163693017731481t_bool > nat ).

tff(func_def_3664,type,
    sK2696: set_nat > fun_nat_nat ).

tff(func_def_3665,type,
    sK2697: ( set_nat * nat ) > nat ).

tff(func_def_3666,type,
    sK2698: fun_nat_real > nat ).

tff(func_def_3667,type,
    sK2699: fun_nat_real > nat ).

tff(func_def_3668,type,
    sK2700: ( fun_nat_real * fun_nat_nat ) > nat ).

tff(func_def_3669,type,
    sK2701: fun_nat_real > nat ).

tff(func_def_3670,type,
    sK2702: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3671,type,
    sK2703: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3672,type,
    sK2704: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3673,type,
    sK2705: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3674,type,
    sK2706: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3675,type,
    sK2707: vEBT_VEBT > bool ).

tff(func_def_3676,type,
    sK2708: vEBT_VEBT > bool ).

tff(func_def_3677,type,
    sK2709: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3678,type,
    sK2710: ( nat * bool * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3679,type,
    sK2711: ( nat * bool * vEBT_VEBT ) > nat ).

tff(func_def_3680,type,
    sK2712: ( nat * bool * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3681,type,
    sK2713: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3682,type,
    sK2714: ( nat * bool * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3683,type,
    sK2715: vEBT_VEBT > bool ).

tff(func_def_3684,type,
    sK2716: vEBT_VEBT > bool ).

tff(func_def_3685,type,
    sK2717: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3686,type,
    sK2718: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3687,type,
    sK2719: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3688,type,
    sK2720: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3689,type,
    sK2721: vEBT_VEBT > bool ).

tff(func_def_3690,type,
    sK2722: vEBT_VEBT > bool ).

tff(func_def_3691,type,
    sK2723: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3692,type,
    sK2724: ( nat * bool * vEBT_VEBT ) > bool ).

tff(func_def_3693,type,
    sK2725: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3694,type,
    sK2726: ( vEBT_VEBT * nat * bool ) > option4927543243414619207at_nat ).

tff(func_def_3695,type,
    sK2727: ( vEBT_VEBT * nat * bool ) > nat ).

tff(func_def_3696,type,
    sK2728: ( vEBT_VEBT * nat * bool ) > list_VEBT_VEBT ).

tff(func_def_3697,type,
    sK2729: ( vEBT_VEBT * nat * bool ) > vEBT_VEBT ).

tff(func_def_3698,type,
    sK2730: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3699,type,
    sK2731: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3700,type,
    sK2732: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3701,type,
    sK2733: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3702,type,
    sK2734: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3703,type,
    sK2735: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3704,type,
    sK2736: ( nat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3705,type,
    sK2737: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_3706,type,
    sK2738: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3707,type,
    sK2739: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3708,type,
    sK2740: ( nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3709,type,
    sK2741: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3710,type,
    sK2742: ( vEBT_VEBT * nat ) > bool ).

tff(func_def_3711,type,
    sK2743: real > real ).

tff(func_def_3712,type,
    sK2744: real > real ).

tff(func_def_3713,type,
    sK2745: ( real * real ) > real ).

tff(func_def_3714,type,
    sK2746: fun_num_bool > num ).

tff(func_def_3715,type,
    sK2747: fun_nat_rat > rat ).

tff(func_def_3716,type,
    sK2748: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3717,type,
    sK2749: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3718,type,
    sK2750: ( fun_nat_rat * rat ) > nat ).

tff(func_def_3719,type,
    sK2751: fun_nat_rat > rat ).

tff(func_def_3720,type,
    sK2752: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3721,type,
    sK2753: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3722,type,
    sK2754: fun_nat_rat > rat ).

tff(func_def_3723,type,
    sK2755: ( fun_nat_rat * rat ) > nat ).

tff(func_def_3724,type,
    sK2756: ( fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_3725,type,
    sK2757: ( fun_nat_rat * fun_nat_rat * nat ) > nat ).

tff(func_def_3726,type,
    sK2758: ( fun_nat_rat * fun_nat_rat * rat ) > nat ).

tff(func_def_3727,type,
    sK2759: fun_nat_rat > rat ).

tff(func_def_3728,type,
    sK2760: fun_nat_rat > nat ).

tff(func_def_3729,type,
    sK2761: ( fun_nat_rat * rat ) > nat ).

tff(func_def_3730,type,
    sK2762: ( fun_nat_rat * rat ) > nat ).

tff(func_def_3731,type,
    sK2763: fun_nat_rat > rat ).

tff(func_def_3732,type,
    sK2764: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3733,type,
    sK2765: fun_nat_rat > rat ).

tff(func_def_3734,type,
    sK2766: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3735,type,
    sK2767: ( fun_nat_rat * rat ) > nat ).

tff(func_def_3736,type,
    sK2768: fun_nat_rat > rat ).

tff(func_def_3737,type,
    sK2769: fun_nat_rat > nat ).

tff(func_def_3738,type,
    sK2770: fun_nat_rat > rat ).

tff(func_def_3739,type,
    sK2771: ( fun_nat_rat * nat ) > nat ).

tff(func_def_3740,type,
    sK2772: ( fun_nat_rat * rat ) > nat ).

tff(func_def_3741,type,
    sK2773: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_3742,type,
    sK2774: fun_nat_rat > rat ).

tff(func_def_3743,type,
    sK2775: fun_nat_rat > nat ).

tff(func_def_3744,type,
    sK2776: ( real * rat * nat ) > nat ).

tff(func_def_3745,type,
    sK2777: real > rat ).

tff(func_def_3746,type,
    sK2778: real > nat ).

tff(func_def_3747,type,
    sK2779: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_3748,type,
    sK2780: fun_nat_rat > rat ).

tff(func_def_3749,type,
    sK2781: fun_nat_rat > nat ).

tff(func_def_3750,type,
    sK2782: ( int * int * int ) > int ).

tff(func_def_3751,type,
    sK2783: ( nat * nat ) > nat ).

tff(func_def_3752,type,
    sK2784: ( nat * nat ) > nat ).

tff(func_def_3753,type,
    sK2785: set_nat > nat ).

tff(func_def_3754,type,
    sK2786: set_nat > nat ).

tff(func_def_3755,type,
    sK2787: rat > int ).

tff(func_def_3756,type,
    sK2788: rat > int ).

tff(func_def_3757,type,
    sK2789: fun_rat_bool > int ).

tff(func_def_3758,type,
    sK2790: fun_rat_bool > int ).

tff(func_def_3759,type,
    sK2791: ( nat * nat ) > nat ).

tff(func_def_3760,type,
    sK2792: ( nat * nat ) > nat ).

tff(func_def_3761,type,
    sK2793: rat > int ).

tff(func_def_3762,type,
    sK2794: rat > int ).

tff(func_def_3763,type,
    sK2795: rat > product_prod_int_int ).

tff(func_def_3764,type,
    sK2796: real > nat ).

tff(func_def_3765,type,
    sK2797: real > nat ).

tff(func_def_3766,type,
    sK2798: ( real * real ) > rat ).

tff(func_def_3767,type,
    sK2799: ( fun_nat_rat * real ) > nat ).

tff(func_def_3768,type,
    sK2800: ( fun_nat_rat * real ) > nat ).

tff(func_def_3769,type,
    sK2801: ( fun_nat_rat * real ) > nat ).

tff(func_def_3770,type,
    sK2802: ( set_Extended_enat * nat ) > extended_enat ).

tff(func_def_3771,type,
    sK2803: extended_enat > nat ).

tff(func_def_3772,type,
    sK2804: extended_enat > nat ).

tff(func_def_3773,type,
    sK2805: ( extended_enat * nat ) > nat ).

tff(func_def_3774,type,
    sK2806: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_3775,type,
    sK2807: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_3776,type,
    sK2808: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3777,type,
    sK2809: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3778,type,
    sK2810: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3779,type,
    sK2811: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3780,type,
    sK2812: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3781,type,
    sK2813: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3782,type,
    sK2814: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3783,type,
    sK2815: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3784,type,
    sK2816: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3785,type,
    sK2817: ( vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3786,type,
    sK2818: ( vEBT_VEBT * vEBT_VEBT ) > bool ).

tff(func_def_3787,type,
    sK2819: extended_enat > nat ).

tff(func_def_3788,type,
    sK2820: produc7272778201969148633d_enat > option4927543243414619207at_nat ).

tff(func_def_3789,type,
    sK2821: produc7272778201969148633d_enat > nat ).

tff(func_def_3790,type,
    sK2822: produc7272778201969148633d_enat > list_VEBT_VEBT ).

tff(func_def_3791,type,
    sK2823: produc7272778201969148633d_enat > vEBT_VEBT ).

tff(func_def_3792,type,
    sK2824: produc7272778201969148633d_enat > nat ).

tff(func_def_3793,type,
    sK2825: produc7272778201969148633d_enat > option4927543243414619207at_nat ).

tff(func_def_3794,type,
    sK2826: produc7272778201969148633d_enat > nat ).

tff(func_def_3795,type,
    sK2827: produc7272778201969148633d_enat > list_VEBT_VEBT ).

tff(func_def_3796,type,
    sK2828: produc7272778201969148633d_enat > vEBT_VEBT ).

tff(func_def_3797,type,
    sK2829: produc7272778201969148633d_enat > bool ).

tff(func_def_3798,type,
    sK2830: produc7272778201969148633d_enat > bool ).

tff(func_def_3799,type,
    sK2831: produc7272778201969148633d_enat > extended_enat ).

tff(func_def_3800,type,
    sK2832: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3801,type,
    sK2833: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3802,type,
    sK2834: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3803,type,
    sK2835: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3804,type,
    sK2836: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3805,type,
    sK2837: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > option4927543243414619207at_nat ).

tff(func_def_3806,type,
    sK2838: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > nat ).

tff(func_def_3807,type,
    sK2839: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_3808,type,
    sK2840: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_3809,type,
    sK2841: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > bool ).

tff(func_def_3810,type,
    sK2842: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > bool ).

tff(func_def_3811,type,
    sK2843: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3812,type,
    sK2844: fun_nat_bool > nat ).

tff(func_def_3813,type,
    sK2845: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3814,type,
    sK2846: fun_nat_bool > nat ).

tff(func_def_3815,type,
    sK2847: fun_nat_bool > nat ).

tff(func_def_3816,type,
    sK2848: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3817,type,
    sK2849: fun_nat_bool > nat ).

tff(func_def_3818,type,
    sK2850: ( fun_nat_bool * nat ) > nat ).

tff(func_def_3819,type,
    sK2851: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_3820,type,
    sK2852: fun_nat_rat > rat ).

tff(func_def_3821,type,
    sK2853: fun_nat_rat > nat ).

tff(func_def_3822,type,
    sK2854: real > int ).

tff(func_def_3823,type,
    sK2855: real > nat ).

tff(func_def_3824,type,
    sK2856: ( set_int * int ) > int ).

tff(func_def_3825,type,
    sK2857: ( set_real * real ) > real ).

tff(func_def_3826,type,
    sK2858: ( nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3827,type,
    sK2859: ( nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3828,type,
    sK2860: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3829,type,
    sK2861: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3830,type,
    sK2862: list_VEBT_VEBT > nat ).

tff(func_def_3831,type,
    sK2863: ( nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3832,type,
    sF2864: fun_set_nat_bool ).

tff(func_def_3833,type,
    sF2865: fun_nat_bool ).

tff(func_def_3834,type,
    sF2866: set_nat ).

tff(func_def_3835,type,
    sF2867: fun_set_nat_set_nat ).

tff(func_def_3836,type,
    sF2868: set_nat ).

tff(func_def_3837,type,
    sF2869: set_nat ).

tff(func_def_3838,type,
    sF2870: bool ).

tff(pred_def_1,type,
    bNF_re5780769757191362231t_bool: ( fun_int_fun_int_bool * fun_fu7925731147167280621l_bool * fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_2,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_bool * fun_Pr5932607294251420486t_bool * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_3,type,
    bNF_re1480548845665215743t_bool: ( fun_nat_fun_nat_bool * fun_fu5827305053654988013l_bool * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_4,type,
    bNF_re1394333895916556125l_bool: ( fun_Pr3099820731930151597t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_Pr803113274115125473t_bool ) > $o ).

tff(pred_def_5,type,
    bNF_re3535474257078034868l_bool: ( fun_Pr3145601080792579042t_bool * fun_bo1841576699660343469l_bool * fun_Pr803113274115125473t_bool * fun_rat_bool ) > $o ).

tff(pred_def_6,type,
    bNF_re2632563231991741785t_bool: ( fun_Pr5932607294251420486t_bool * fun_fu813382667476268716l_bool * fun_Pr248683899324676269t_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_7,type,
    bNF_re2219331435504962769t_bool: ( fun_Pr248683899324676269t_bool * fun_fu8778301040783821591l_bool * fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_8,type,
    bNF_re1458715823057739248l_bool: ( fun_fu990398353789569848l_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_real_bool ) > $o ).

tff(pred_def_9,type,
    bNF_re2717234250851183977l_bool: ( fun_fu2636726645394866687t_bool * fun_bo1841576699660343469l_bool * fun_fun_nat_rat_bool * fun_fun_nat_rat_bool ) > $o ).

tff(pred_def_10,type,
    bNF_We3818239936649020644el_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_11,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_12,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_13,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_14,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_15,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_16,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_17,type,
    eventually_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_18,type,
    eventu1038000079068216329at_nat: ( fun_Pr7757163693017731481t_bool * filter1242075044329608583at_nat ) > $o ).

tff(pred_def_19,type,
    eventually_real: ( fun_real_bool * filter_real ) > $o ).

tff(pred_def_20,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_21,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_22,type,
    filter3212408913953519116et_nat: ( fun_nat_set_nat * filter_set_nat * filter_nat ) > $o ).

tff(pred_def_23,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_24,type,
    frequently_nat: ( fun_nat_bool * filter_nat ) > $o ).

tff(pred_def_25,type,
    finite2119507909894593271er_nat: set_filter_nat > $o ).

tff(pred_def_26,type,
    finite7866827932528546246t_bool: set_list_bool > $o ).

tff(pred_def_27,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_28,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_29,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_30,type,
    finite4290736615968046902t_unit: set_Product_unit > $o ).

tff(pred_def_31,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

tff(pred_def_32,type,
    finite5468666774076196335d_enat: set_se7270636423289371942d_enat > $o ).

tff(pred_def_33,type,
    finite3197276090331229984t_bool: set_set_bool > $o ).

tff(pred_def_34,type,
    finite6197958912794628473et_int: set_set_int > $o ).

tff(pred_def_35,type,
    finite9047747110432174090at_nat: set_se7855581050983116737at_nat > $o ).

tff(pred_def_36,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_37,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_38,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_39,type,
    sorted_wrt_int: ( fun_int_fun_int_bool * list_int ) > $o ).

tff(pred_def_40,type,
    case_o7912701867834613557at_nat: ( bool * fun_Pr7757163693017731481t_bool * option4927543243414619207at_nat ) > $o ).

tff(pred_def_41,type,
    order_2888998067076097458on_nat: ( set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_42,type,
    ord_less_filter_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_43,type,
    ord_le361264281704409273t_unit: ( product_unit * product_unit ) > $o ).

tff(pred_def_44,type,
    ord_le1190675801316882794st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_45,type,
    ord_le7866589430770878221at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_46,type,
    ord_le8056459307392131481t_unit: ( set_Product_unit * set_Product_unit ) > $o ).

tff(pred_def_47,type,
    ord_less_set_set_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_48,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_49,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_50,type,
    ord_le2426478655948331894er_nat: ( set_filter_nat * set_filter_nat ) > $o ).

tff(pred_def_51,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_52,type,
    ord_le3725938330318615451nteger: ( set_Pr4811707699266497531nteger * set_Pr4811707699266497531nteger ) > $o ).

tff(pred_def_53,type,
    ord_le5008643164228425349r_bool: ( set_Pr9123050470547338789r_bool * set_Pr9123050470547338789r_bool ) > $o ).

tff(pred_def_54,type,
    ord_le2843351958646193337nt_int: ( set_Pr958786334691620121nt_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_55,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_56,type,
    ord_le3000389064537975527at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_57,type,
    ord_le3507040750410214029t_unit: ( set_Product_unit * set_Product_unit ) > $o ).

tff(pred_def_58,type,
    ord_le5699074721664670071t_bool: ( set_set_bool * set_set_bool ) > $o ).

tff(pred_def_59,type,
    ord_le4403425263959731960et_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_60,type,
    ord_le2077887516847798113at_nat: ( set_se7855581050983116737at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_61,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_62,type,
    ord_le2895103514575585327r_bool: ( fun_Co8310303586393106575r_bool * fun_Co8310303586393106575r_bool ) > $o ).

tff(pred_def_63,type,
    ord_le3056413707720749373l_bool: ( fun_Co3748208068438171869l_bool * fun_Co3748208068438171869l_bool ) > $o ).

tff(pred_def_64,type,
    ord_le4546832483993983377t_bool: ( fun_int_fun_int_bool * fun_int_fun_int_bool ) > $o ).

tff(pred_def_65,type,
    ord_le4899916226251588169t_bool: ( fun_nat_fun_nat_bool * fun_nat_fun_nat_bool ) > $o ).

tff(pred_def_66,type,
    ord_le2087689725136068685t_bool: ( fun_Pr248683899324676269t_bool * fun_Pr248683899324676269t_bool ) > $o ).

tff(pred_def_67,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_68,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_69,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_70,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_71,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_72,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_73,type,
    vanishes: fun_nat_rat > $o ).

tff(pred_def_74,type,
    real_V7139242839884736329omplex: fun_complex_complex > $o ).

tff(pred_def_75,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_76,type,
    is_empty_VEBT_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_77,type,
    is_sin2641923865335537900st_nat: set_list_nat > $o ).

tff(pred_def_78,type,
    is_sin2160648248035936513t_unit: set_Product_unit > $o ).

tff(pred_def_79,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_80,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_81,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_82,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_83,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_84,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_85,type,
    accp_P1096762738010456898nt_int: ( fun_Pr3099820731930151597t_bool * product_prod_int_int ) > $o ).

tff(pred_def_86,type,
    accp_P6183159247885693666d_enat: ( fun_Pr5442483421567724333t_bool * produc7272778201969148633d_enat ) > $o ).

tff(pred_def_87,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr817965127378462947t_bool * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_88,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_89,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_90,type,
    member_filter_nat: ( filter_nat * set_filter_nat ) > $o ).

tff(pred_def_91,type,
    member_list_bool: ( list_bool * set_list_bool ) > $o ).

tff(pred_def_92,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_93,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_94,type,
    member157494554546826820nteger: ( produc8923325533196201883nteger * set_Pr4811707699266497531nteger ) > $o ).

tff(pred_def_95,type,
    member7941544277139469958r_bool: ( produc7417142470700560111r_bool * set_Pr9123050470547338789r_bool ) > $o ).

tff(pred_def_96,type,
    member5262025264175285858nt_int: ( product_prod_int_int * set_Pr958786334691620121nt_int ) > $o ).

tff(pred_def_97,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_98,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_99,type,
    member_Product_unit: ( product_unit * set_Product_unit ) > $o ).

tff(pred_def_100,type,
    member_set_bool: ( set_bool * set_set_bool ) > $o ).

tff(pred_def_101,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_102,type,
    member2643936169264416010at_nat: ( set_Pr1261947904930325089at_nat * set_se7855581050983116737at_nat ) > $o ).

tff(pred_def_103,type,
    pp: bool > $o ).

tff(pred_def_104,type,
    sP0: ( set_Extended_enat * set_Extended_enat * extended_enat * extended_enat ) > $o ).

tff(pred_def_105,type,
    sP1: ( extended_enat * extended_enat * set_Extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_106,type,
    sP2: ( set_real * set_real * real * real ) > $o ).

tff(pred_def_107,type,
    sP3: ( real * real * set_real * set_real ) > $o ).

tff(pred_def_108,type,
    sP4: ( set_set_nat * set_set_nat * set_nat * set_nat ) > $o ).

tff(pred_def_109,type,
    sP5: ( set_nat * set_nat * set_set_nat * set_set_nat ) > $o ).

tff(pred_def_110,type,
    sP6: ( set_nat * set_nat * nat * nat ) > $o ).

tff(pred_def_111,type,
    sP7: ( nat * nat * set_nat * set_nat ) > $o ).

tff(pred_def_112,type,
    sP8: ( set_int * set_int * int * int ) > $o ).

tff(pred_def_113,type,
    sP9: ( int * int * set_int * set_int ) > $o ).

tff(pred_def_114,type,
    sP10: ( set_bool * bool * set_bool * bool ) > $o ).

tff(pred_def_115,type,
    sP11: ( bool * bool * bool * bool ) > $o ).

tff(pred_def_116,type,
    sP12: ( bool * bool * bool * bool ) > $o ).

tff(pred_def_117,type,
    sP13: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_118,type,
    sP14: ( set_int * set_int * int ) > $o ).

tff(pred_def_119,type,
    sP15: ( set_bool * set_bool * bool ) > $o ).

tff(pred_def_120,type,
    sP16: ( set_set_nat * set_set_nat * set_nat ) > $o ).

tff(pred_def_121,type,
    sP17: ( set_real * set_real * real ) > $o ).

tff(pred_def_122,type,
    sP18: ( set_Extended_enat * set_Extended_enat * extended_enat ) > $o ).

tff(pred_def_123,type,
    sP19: ( set_nat * set_nat * nat ) > $o ).

tff(pred_def_124,type,
    sP20: ( set_int * set_int * int ) > $o ).

tff(pred_def_125,type,
    sP21: ( set_bool * set_bool * bool ) > $o ).

tff(pred_def_126,type,
    sP22: ( set_set_nat * set_set_nat * set_nat ) > $o ).

tff(pred_def_127,type,
    sP23: ( set_real * set_real * real ) > $o ).

tff(pred_def_128,type,
    sP24: ( set_Extended_enat * set_Extended_enat * extended_enat ) > $o ).

tff(pred_def_129,type,
    sP25: ( rat * rat * rat ) > $o ).

tff(pred_def_130,type,
    sP26: ( rat * rat * rat ) > $o ).

tff(pred_def_131,type,
    sP27: ( rat * rat * rat ) > $o ).

tff(pred_def_132,type,
    sP28: ( num * num * num ) > $o ).

tff(pred_def_133,type,
    sP29: ( num * num * num ) > $o ).

tff(pred_def_134,type,
    sP30: ( num * num * num ) > $o ).

tff(pred_def_135,type,
    sP31: ( nat * nat * nat ) > $o ).

tff(pred_def_136,type,
    sP32: ( nat * nat * nat ) > $o ).

tff(pred_def_137,type,
    sP33: ( nat * nat * nat ) > $o ).

tff(pred_def_138,type,
    sP34: ( int * int * int ) > $o ).

tff(pred_def_139,type,
    sP35: ( int * int * int ) > $o ).

tff(pred_def_140,type,
    sP36: ( int * int * int ) > $o ).

tff(pred_def_141,type,
    sP37: ( bool * nat * bool ) > $o ).

tff(pred_def_142,type,
    sP38: ( bool * nat * bool ) > $o ).

tff(pred_def_143,type,
    sP39: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_144,type,
    sP40: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_145,type,
    sP41: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_146,type,
    sP42: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_147,type,
    sP43: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_148,type,
    sP44: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_149,type,
    sP45: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_150,type,
    sP46: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_151,type,
    sP47: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_152,type,
    sP48: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_153,type,
    sP49: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_154,type,
    sP50: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_155,type,
    sP51: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_156,type,
    sP52: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_157,type,
    sP53: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_158,type,
    sP54: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_159,type,
    sP55: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_160,type,
    sP56: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_161,type,
    sP57: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_162,type,
    sP58: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_163,type,
    sP59: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_164,type,
    sP60: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_165,type,
    sP61: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_166,type,
    sP62: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_167,type,
    sP63: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_168,type,
    sP64: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_169,type,
    sP65: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_170,type,
    sP66: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_171,type,
    sP67: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_172,type,
    sP68: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_173,type,
    sP69: ( fun_real_bool * fun_real_bool * fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_174,type,
    sP70: ( fun_real_bool * fun_real_bool ) > $o ).

tff(pred_def_175,type,
    sP71: ( fun_rat_bool * fun_rat_bool * fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_176,type,
    sP72: ( fun_rat_bool * fun_rat_bool ) > $o ).

tff(pred_def_177,type,
    sP73: ( fun_num_bool * fun_num_bool * fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_178,type,
    sP74: ( fun_num_bool * fun_num_bool ) > $o ).

tff(pred_def_179,type,
    sP75: ( fun_nat_bool * fun_nat_bool * fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_180,type,
    sP76: ( fun_nat_bool * fun_nat_bool ) > $o ).

tff(pred_def_181,type,
    sP77: ( fun_int_bool * fun_int_bool * fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_182,type,
    sP78: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_183,type,
    sP79: ( fun_set_complex_bool * set_complex ) > $o ).

tff(pred_def_184,type,
    sP80: ( fun_set_bool_bool * set_bool ) > $o ).

tff(pred_def_185,type,
    sP81: ( fun_set_set_nat_bool * set_set_nat ) > $o ).

tff(pred_def_186,type,
    sP82: ( fun_set_real_bool * set_real ) > $o ).

tff(pred_def_187,type,
    sP83: ( fun_se2015444840911768724t_bool * set_Extended_enat ) > $o ).

tff(pred_def_188,type,
    sP84: ( fun_set_nat_bool * set_nat ) > $o ).

tff(pred_def_189,type,
    sP85: ( fun_set_int_bool * set_int ) > $o ).

tff(pred_def_190,type,
    sP86: ( set_bool * bool * set_bool ) > $o ).

tff(pred_def_191,type,
    sP87: ( set_set_nat * set_nat * set_set_nat ) > $o ).

tff(pred_def_192,type,
    sP88: ( set_real * real * set_real ) > $o ).

tff(pred_def_193,type,
    sP89: ( set_Extended_enat * extended_enat * set_Extended_enat ) > $o ).

tff(pred_def_194,type,
    sP90: ( set_nat * nat * set_nat ) > $o ).

tff(pred_def_195,type,
    sP91: ( set_int * int * set_int ) > $o ).

tff(pred_def_196,type,
    sP92: ( fun_Ex4578939836232520097l_bool * set_real * set_Extended_enat ) > $o ).

tff(pred_def_197,type,
    sP93: ( fun_Ex4978594138320671356l_bool * set_bool * set_Extended_enat ) > $o ).

tff(pred_def_198,type,
    sP94: ( fun_re1255401033344146673l_bool * set_real * set_real ) > $o ).

tff(pred_def_199,type,
    sP95: ( fun_re3316061561565328172l_bool * set_bool * set_real ) > $o ).

tff(pred_def_200,type,
    sP96: ( fun_in3970322703178350321l_bool * set_real * set_int ) > $o ).

tff(pred_def_201,type,
    sP97: ( fun_in3865155034416861484l_bool * set_bool * set_int ) > $o ).

tff(pred_def_202,type,
    sP98: ( fun_bo2025495424286513072l_bool * set_real * set_bool ) > $o ).

tff(pred_def_203,type,
    sP99: ( fun_bo1841576699660343469l_bool * set_bool * set_bool ) > $o ).

tff(pred_def_204,type,
    sP100: ( fun_Ex6990506909712494598t_bool * set_Product_unit * set_Extended_enat ) > $o ).

tff(pred_def_205,type,
    sP101: ( fun_re5749909910586605750t_bool * set_Product_unit * set_real ) > $o ).

tff(pred_def_206,type,
    sP102: ( bool * int * bool * int ) > $o ).

tff(pred_def_207,type,
    sP103: ( int * bool * int * bool ) > $o ).

tff(pred_def_208,type,
    sP104: ( fun_re1255401033344146673l_bool * real * real ) > $o ).

tff(pred_def_209,type,
    sP105: ( fun_nat_int * nat * nat ) > $o ).

tff(pred_def_210,type,
    sP106: ( fun_int_bool * int ) > $o ).

tff(pred_def_211,type,
    sP107: ( rat * rat * rat ) > $o ).

tff(pred_def_212,type,
    sP108: ( real * real * real ) > $o ).

tff(pred_def_213,type,
    sP109: ( rat * rat * rat ) > $o ).

tff(pred_def_214,type,
    sP110: ( real * real * real ) > $o ).

tff(pred_def_215,type,
    sP111: ( real * real * real ) > $o ).

tff(pred_def_216,type,
    sP112: ( rat * rat * rat ) > $o ).

tff(pred_def_217,type,
    sP113: ( real * real * real ) > $o ).

tff(pred_def_218,type,
    sP114: ( rat * rat * rat ) > $o ).

tff(pred_def_219,type,
    sP115: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_220,type,
    sP116: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_221,type,
    sP117: ( real * real * real ) > $o ).

tff(pred_def_222,type,
    sP118: ( rat * rat * rat ) > $o ).

tff(pred_def_223,type,
    sP119: ( real * real * real ) > $o ).

tff(pred_def_224,type,
    sP120: ( rat * rat * rat ) > $o ).

tff(pred_def_225,type,
    sP121: ( fun_nat_bool * nat * nat ) > $o ).

tff(pred_def_226,type,
    sP122: ( real * real * real ) > $o ).

tff(pred_def_227,type,
    sP123: ( rat * rat * rat ) > $o ).

tff(pred_def_228,type,
    sP124: ( real * real * real ) > $o ).

tff(pred_def_229,type,
    sP125: ( rat * rat * rat ) > $o ).

tff(pred_def_230,type,
    sP126: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_231,type,
    sP127: ( fun_int_bool * int * int ) > $o ).

tff(pred_def_232,type,
    sP128: ( real * real * num ) > $o ).

tff(pred_def_233,type,
    sP129: ( rat * rat * num ) > $o ).

tff(pred_def_234,type,
    sP130: ( real * num * real ) > $o ).

tff(pred_def_235,type,
    sP131: ( rat * num * rat ) > $o ).

tff(pred_def_236,type,
    sP132: ( rat * rat * num ) > $o ).

tff(pred_def_237,type,
    sP133: ( real * real * num ) > $o ).

tff(pred_def_238,type,
    sP134: ( rat * num * rat ) > $o ).

tff(pred_def_239,type,
    sP135: ( real * num * real ) > $o ).

tff(pred_def_240,type,
    sP136: ( nat * fun_nat_bool * nat ) > $o ).

tff(pred_def_241,type,
    sP137: ( real * num * real ) > $o ).

tff(pred_def_242,type,
    sP138: ( rat * num * rat ) > $o ).

tff(pred_def_243,type,
    sP139: ( real * real * num ) > $o ).

tff(pred_def_244,type,
    sP140: ( rat * rat * num ) > $o ).

tff(pred_def_245,type,
    sP141: ( real * num * real ) > $o ).

tff(pred_def_246,type,
    sP142: ( rat * num * rat ) > $o ).

tff(pred_def_247,type,
    sP143: ( real * real * num ) > $o ).

tff(pred_def_248,type,
    sP144: ( rat * rat * num ) > $o ).

tff(pred_def_249,type,
    sP145: ( int * fun_int_bool * set_int * fun_int_bool ) > $o ).

tff(pred_def_250,type,
    sP146: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_251,type,
    sP147: ( int * fun_int_bool * set_int * fun_int_bool ) > $o ).

tff(pred_def_252,type,
    sP148: ( fun_int_bool * fun_int_bool ) > $o ).

tff(pred_def_253,type,
    sP149: set_bool > $o ).

tff(pred_def_254,type,
    sP150: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_255,type,
    sP151: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_256,type,
    sP152: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_257,type,
    sP153: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_258,type,
    sP154: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_259,type,
    sP155: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_260,type,
    sP156: ( nat * nat * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_261,type,
    sP157: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_262,type,
    sP158: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_263,type,
    sP159: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_264,type,
    sP160: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_265,type,
    sP161: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_266,type,
    sP162: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_267,type,
    sP163: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_268,type,
    sP164: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_269,type,
    sP165: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_270,type,
    sP166: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_271,type,
    sP167: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_272,type,
    sP168: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_273,type,
    sP169: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_274,type,
    sP170: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_275,type,
    sP171: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_276,type,
    sP172: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_277,type,
    sP173: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_278,type,
    sP174: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_279,type,
    sP175: ( int * int * int ) > $o ).

tff(pred_def_280,type,
    sP176: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_281,type,
    sP177: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_282,type,
    sP178: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_283,type,
    sP179: ( vEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_284,type,
    sP180: ( vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_285,type,
    sP181: ( bool * nat * bool ) > $o ).

tff(pred_def_286,type,
    sP182: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_287,type,
    sP183: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_288,type,
    sP184: ( list_VEBT_VEBT * nat * nat * nat * nat * bool ) > $o ).

tff(pred_def_289,type,
    sP185: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_290,type,
    sP186: ( bool * nat * vEBT_VEBT ) > $o ).

tff(pred_def_291,type,
    sP187: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_292,type,
    sP188: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_293,type,
    sP189: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_294,type,
    sP190: ( bool * nat * bool ) > $o ).

tff(pred_def_295,type,
    sP191: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_296,type,
    sP192: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_297,type,
    sP193: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_298,type,
    sP194: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_299,type,
    sP195: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_300,type,
    sP196: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_301,type,
    sP197: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_302,type,
    sP198: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_303,type,
    sP199: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_304,type,
    sP200: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_305,type,
    sP201: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_306,type,
    sP202: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_307,type,
    sP203: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_308,type,
    sP204: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_309,type,
    sP205: ( nat * vEBT_VEBT * vEBT_VEBT ) > $o ).

tff(pred_def_310,type,
    sP206: ( bool * nat * bool ) > $o ).

tff(pred_def_311,type,
    sP207: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_312,type,
    sP208: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_313,type,
    sP209: ( list_VEBT_VEBT * nat * nat * nat * nat * bool ) > $o ).

tff(pred_def_314,type,
    sP210: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_315,type,
    sP211: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_316,type,
    sP212: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_317,type,
    sP213: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_318,type,
    sP214: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_319,type,
    sP215: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_320,type,
    sP216: ( bool * nat * bool ) > $o ).

tff(pred_def_321,type,
    sP217: ( bool * nat * bool * bool ) > $o ).

tff(pred_def_322,type,
    sP218: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_323,type,
    sP219: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_324,type,
    sP220: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_325,type,
    sP221: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_326,type,
    sP222: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_327,type,
    sP223: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_328,type,
    sP224: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_329,type,
    sP225: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_330,type,
    sP226: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_331,type,
    sP227: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_332,type,
    sP228: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_333,type,
    sP229: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_334,type,
    sP230: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_335,type,
    sP231: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_336,type,
    sP232: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_337,type,
    sP233: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_338,type,
    sP234: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_339,type,
    sP235: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_340,type,
    sP236: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_341,type,
    sP237: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_342,type,
    sP238: ( bool * vEBT_VEBT ) > $o ).

tff(pred_def_343,type,
    sP239: ( fun_nat_nat * nat ) > $o ).

tff(pred_def_344,type,
    sP240: ( real * nat * real ) > $o ).

tff(pred_def_345,type,
    sP241: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_346,type,
    sP242: ( fun_na6724076748692969250l_real * nat * real ) > $o ).

tff(pred_def_347,type,
    sP243: ( fun_na6724076748692969250l_real * nat * real ) > $o ).

tff(pred_def_348,type,
    sP244: ( fun_na6724076748692969250l_real * nat * real ) > $o ).

tff(pred_def_349,type,
    sP245: ( fun_na6724076748692969250l_real * nat * real * real ) > $o ).

tff(pred_def_350,type,
    sP246: ( fun_na6724076748692969250l_real * nat * real * real ) > $o ).

tff(pred_def_351,type,
    sP247: ( real * real * nat * fun_na6724076748692969250l_real * fun_real_real ) > $o ).

tff(pred_def_352,type,
    sP248: ( fun_real_real * real * real ) > $o ).

tff(pred_def_353,type,
    sP249: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_354,type,
    sP250: ( fun_real_real * real * real ) > $o ).

tff(pred_def_355,type,
    sP251: ( fun_real_real * real * real ) > $o ).

tff(pred_def_356,type,
    sP252: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_357,type,
    sP253: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_358,type,
    sP254: ( fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_359,type,
    sP255: ( fun_real_real * real * real ) > $o ).

tff(pred_def_360,type,
    sP256: ( fun_real_real * real * real ) > $o ).

tff(pred_def_361,type,
    sP257: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_362,type,
    sP258: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_363,type,
    sP259: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * option4927543243414619207at_nat * bool ) > $o ).

tff(pred_def_364,type,
    sP260: ( nat * bool * vEBT_VEBT ) > $o ).

tff(pred_def_365,type,
    sP261: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_366,type,
    sP262: ( nat * vEBT_VEBT ) > $o ).

tff(pred_def_367,type,
    sP263: ( int * int * fun_int_bool ) > $o ).

tff(pred_def_368,type,
    sP264: ( int * int * fun_int_bool ) > $o ).

tff(pred_def_369,type,
    sP265: ( int * int * fun_int_bool ) > $o ).

tff(pred_def_370,type,
    sP266: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_371,type,
    sP267: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_372,type,
    sP268: ( vEBT_VEBT * extended_enat * vEBT_VEBT ) > $o ).

tff(pred_def_373,type,
    sP269: ( nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_374,type,
    sP270: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_375,type,
    sP271: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(f1,axiom,
    pp(aa_set_nat_bool(member_nat(y),vEBT_VEBT_set_vebt(vEBT_vebt_insert(t,x)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062y_A_092_060in_062_Aset__vebt_H_A_Ivebt__insert_At_Ax_J_092_060close_062) ).

tff(f8,axiom,
    ! [X0: nat,X1: set_nat,X2: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,insert_nat(X0,X1)),X2) = insert_nat(X0,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_Un__insert__left) ).

tff(f14,axiom,
    ! [X0: set_nat,X1: nat,X2: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),insert_nat(X1,X2)) = insert_nat(X1,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_Un__insert__right) ).

tff(f102,axiom,
    ! [X0: nat,X1: set_nat] : ( insert_nat(X0,insert_nat(X0,X1)) = insert_nat(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_insert__absorb2) ).

tff(f240,axiom,
    ! [X0: nat,X1: set_nat] : pp(aa_set_nat_bool(member_nat(X0),insert_nat(X0,X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_239_insertI1) ).

tff(f259,axiom,
    ! [X0: nat,X1: fun_nat_bool] :
      ( pp(aa_set_nat_bool(member_nat(X0),collect_nat(X1)))
    <=> pp(aa_nat_bool(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_258_mem__Collect__eq) ).

tff(f342,axiom,
    ! [X0: nat,X1: set_nat,X2: set_nat] :
      ( pp(aa_set_nat_bool(member_nat(X0),X1))
     => pp(aa_set_nat_bool(member_nat(X0),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X2),X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_341_UnI2) ).

tff(f411,axiom,
    ! [X0: nat,X1: set_nat] : ( insert_nat(X0,X1) = aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,insert_nat(X0,bot_bot_set_nat)),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_410_insert__is__Un) ).

tff(f417,axiom,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,vEBT_VEBT_set_vebt(t)),insert_nat(x,bot_bot_set_nat))),vEBT_VEBT_set_vebt(vEBT_vebt_insert(t,x)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_416__092_060open_062set__vebt_H_At_A_092_060union_062_A_123x_125_A_092_060subseteq_062_Aset__vebt_H_A_Ivebt__insert_At_Ax_J_092_060close_062) ).

tff(f419,axiom,
    pp(aa_nat_bool(vEBT_invar_vebt(t),n)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_418_assms_I1_J) ).

tff(f433,axiom,
    ! [X0: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),bot_bot_set_nat) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_432_boolean__algebra_Odisj__zero__right) ).

tff(f551,axiom,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1))
    <=> ! [X2: nat] :
          ( pp(aa_set_nat_bool(member_nat(X2),X0))
         => pp(aa_set_nat_bool(member_nat(X2),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_550_subset__iff) ).

tff(f2583,axiom,
    ! [X0: set_nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),X1)),X1) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2582_Un__Int__eq_I2_J) ).

tff(f2688,axiom,
    ! [X0: set_nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,X0),X1)) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2687_sup__inf__absorb) ).

tff(f3681,axiom,
    one_one_nat = aa_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3680_One__nat__def) ).

tff(f4692,axiom,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),one_one_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4691_Suc__eq__plus1) ).

tff(f7414,axiom,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),n))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7413_assms_I2_J) ).

tff(f7423,axiom,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat] :
      ( pp(aa_nat_bool(vEBT_vebt_member(X0),X1))
     => ( pp(aa_nat_bool(vEBT_invar_vebt(X0),X2))
       => pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7422_member__bound) ).

tff(f7424,axiom,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat] :
      ( pp(aa_nat_bool(vEBT_invar_vebt(X0),X1))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
       => pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,X2)),X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7423_valid__pres__insert) ).

tff(f7427,axiom,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( pp(aa_nat_bool(vEBT_invar_vebt(X0),X1))
     => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
       => ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
         => ( pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
           => ( pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
              | ( X2 = X3 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7426_post__member__pre__member) ).

tff(f7584,axiom,
    aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7583_nat__1__add__1) ).

tff(f9125,axiom,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),aa_nat_nat(suc,zero_zero_nat)) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9124_push__bit__of__Suc__0) ).

tff(f9427,axiom,
    size_size_option_num(none_num) = aa_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9426_option_Osize_I3_J) ).

tff(f9452,axiom,
    ! [X0: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X0) = collect_nat(vEBT_vebt_member(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9451_set__vebt_H__def) ).

tff(f10390,axiom,
    pp(fTrue),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fTrue_1_1_U) ).

tff(f10397,axiom,
    ~ pp(fFalse),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).

tff(f10444,axiom,
    ! [X0: bool] :
      ( ( X0 = fTrue )
      | ( X0 = fFalse ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).

tff(f10450,conjecture,
    pp(aa_set_nat_bool(member_nat(y),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,vEBT_VEBT_set_vebt(t)),insert_nat(x,bot_bot_set_nat)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

tff(f10451,negated_conjecture,
    ~ pp(aa_set_nat_bool(member_nat(y),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,vEBT_VEBT_set_vebt(t)),insert_nat(x,bot_bot_set_nat)))),
    inference(negated_conjecture,[status(cth)],[f10450]) ).

tff(f10609,plain,
    ~ pp(aa_set_nat_bool(member_nat(y),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,vEBT_VEBT_set_vebt(t)),insert_nat(x,bot_bot_set_nat)))),
    inference(flattening,[],[f10451]) ).

tff(f10802,plain,
    ! [X0: nat,X1: set_nat,X2: set_nat] :
      ( pp(aa_set_nat_bool(member_nat(X0),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X2),X1)))
      | ~ pp(aa_set_nat_bool(member_nat(X0),X1)) ),
    inference(ennf_transformation,[],[f342]) ).

tff(f10891,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1))
    <=> ! [X2: nat] :
          ( pp(aa_set_nat_bool(member_nat(X2),X1))
          | ~ pp(aa_set_nat_bool(member_nat(X2),X0)) ) ),
    inference(ennf_transformation,[],[f551]) ).

tff(f16507,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X2))
      | ~ pp(aa_nat_bool(vEBT_vebt_member(X0),X1)) ),
    inference(ennf_transformation,[],[f7423]) ).

tff(f16508,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X2))
      | ~ pp(aa_nat_bool(vEBT_vebt_member(X0),X1)) ),
    inference(flattening,[],[f16507]) ).

tff(f16509,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat] :
      ( pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,X2)),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(ennf_transformation,[],[f7424]) ).

tff(f16510,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat] :
      ( pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,X2)),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(flattening,[],[f16509]) ).

tff(f16515,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(ennf_transformation,[],[f7427]) ).

tff(f16516,plain,
    ! [X0: vEBT_VEBT,X1: nat,X2: nat,X3: nat] :
      ( pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(flattening,[],[f16515]) ).

tff(f18956,plain,
    ! [X0: nat,X1: fun_nat_bool] :
      ( ( pp(aa_set_nat_bool(member_nat(X0),collect_nat(X1)))
        | ~ pp(aa_nat_bool(X1,X0)) )
      & ( pp(aa_nat_bool(X1,X0))
        | ~ pp(aa_set_nat_bool(member_nat(X0),collect_nat(X1))) ) ),
    inference(nnf_transformation,[],[f259]) ).

tff(f19199,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1))
        | ? [X2: nat] :
            ( ~ pp(aa_set_nat_bool(member_nat(X2),X1))
            & pp(aa_set_nat_bool(member_nat(X2),X0)) ) )
      & ( ! [X2: nat] :
            ( pp(aa_set_nat_bool(member_nat(X2),X1))
            | ~ pp(aa_set_nat_bool(member_nat(X2),X0)) )
        | ~ pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1)) ) ),
    inference(nnf_transformation,[],[f10891]) ).

tff(f19200,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1))
        | ? [X2: nat] :
            ( ~ pp(aa_set_nat_bool(member_nat(X2),X1))
            & pp(aa_set_nat_bool(member_nat(X2),X0)) ) )
      & ( ! [X3: nat] :
            ( pp(aa_set_nat_bool(member_nat(X3),X1))
            | ~ pp(aa_set_nat_bool(member_nat(X3),X0)) )
        | ~ pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1)) ) ),
    inference(rectify,[],[f19199]) ).

tff(f19201,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1))
        | ( ~ pp(aa_set_nat_bool(member_nat(sK372(X0,X1)),X1))
          & pp(aa_set_nat_bool(member_nat(sK372(X0,X1)),X0)) ) )
      & ( ! [X3: nat] :
            ( pp(aa_set_nat_bool(member_nat(X3),X1))
            | ~ pp(aa_set_nat_bool(member_nat(X3),X0)) )
        | ~ pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK372]),skolemize(X2,sK372(X0,X1))],[f19200]) ).

tff(f25098,plain,
    pp(aa_set_nat_bool(member_nat(y),vEBT_VEBT_set_vebt(vEBT_vebt_insert(t,x)))),
    inference(cnf_transformation,[],[f1]) ).

tff(f25105,plain,
    ! [X2: set_nat,X0: nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,insert_nat(X0,X1)),X2) = insert_nat(X0,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X1),X2)) ),
    inference(cnf_transformation,[],[f8]) ).

tff(f25111,plain,
    ! [X2: set_nat,X0: set_nat,X1: nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),insert_nat(X1,X2)) = insert_nat(X1,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),X2)) ),
    inference(cnf_transformation,[],[f14]) ).

tff(f25287,plain,
    ! [X0: nat,X1: set_nat] : ( insert_nat(X0,X1) = insert_nat(X0,insert_nat(X0,X1)) ),
    inference(cnf_transformation,[],[f102]) ).

tff(f25559,plain,
    ! [X0: nat,X1: set_nat] : pp(aa_set_nat_bool(member_nat(X0),insert_nat(X0,X1))),
    inference(cnf_transformation,[],[f240]) ).

tff(f25584,plain,
    ! [X0: nat,X1: fun_nat_bool] :
      ( ~ pp(aa_set_nat_bool(member_nat(X0),collect_nat(X1)))
      | pp(aa_nat_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f18956]) ).

tff(f25585,plain,
    ! [X0: nat,X1: fun_nat_bool] :
      ( pp(aa_set_nat_bool(member_nat(X0),collect_nat(X1)))
      | ~ pp(aa_nat_bool(X1,X0)) ),
    inference(cnf_transformation,[],[f18956]) ).

tff(f25716,plain,
    ! [X2: set_nat,X0: nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(member_nat(X0),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X2),X1)))
      | ~ pp(aa_set_nat_bool(member_nat(X0),X1)) ),
    inference(cnf_transformation,[],[f10802]) ).

tff(f25982,plain,
    ! [X0: nat,X1: set_nat] : ( insert_nat(X0,X1) = aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,insert_nat(X0,bot_bot_set_nat)),X1) ),
    inference(cnf_transformation,[],[f411]) ).

tff(f25988,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,vEBT_VEBT_set_vebt(t)),insert_nat(x,bot_bot_set_nat))),vEBT_VEBT_set_vebt(vEBT_vebt_insert(t,x)))),
    inference(cnf_transformation,[],[f417]) ).

tff(f25990,plain,
    pp(aa_nat_bool(vEBT_invar_vebt(t),n)),
    inference(cnf_transformation,[],[f419]) ).

tff(f26005,plain,
    ! [X0: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),bot_bot_set_nat) = X0 ),
    inference(cnf_transformation,[],[f433]) ).

tff(f26240,plain,
    ! [X3: nat,X0: set_nat,X1: set_nat] :
      ( ~ pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,X0),X1))
      | ~ pp(aa_set_nat_bool(member_nat(X3),X0))
      | pp(aa_set_nat_bool(member_nat(X3),X1)) ),
    inference(cnf_transformation,[],[f19201]) ).

tff(f29988,plain,
    ! [X0: set_nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),X1)),X1) = X1 ),
    inference(cnf_transformation,[],[f2583]) ).

tff(f30185,plain,
    ! [X0: set_nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,X0),X1)) = X0 ),
    inference(cnf_transformation,[],[f2688]) ).

tff(f31665,plain,
    one_one_nat = aa_nat_nat(suc,zero_zero_nat),
    inference(cnf_transformation,[],[f3681]) ).

tff(f33453,plain,
    ! [X0: nat] : ( aa_nat_nat(suc,X0) = aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,X0),one_one_nat) ),
    inference(cnf_transformation,[],[f4692]) ).

tff(f38112,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),n))),
    inference(cnf_transformation,[],[f7414]) ).

tff(f38124,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X2)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X2))
      | ~ pp(aa_nat_bool(vEBT_vebt_member(X0),X1)) ),
    inference(cnf_transformation,[],[f16508]) ).

tff(f38125,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,X2)),X1))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(cnf_transformation,[],[f16510]) ).

tff(f38128,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(cnf_transformation,[],[f16516]) ).

tff(f38371,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
    inference(cnf_transformation,[],[f7584]) ).

tff(f41007,plain,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),aa_nat_nat(suc,zero_zero_nat)) ),
    inference(cnf_transformation,[],[f9125]) ).

tff(f41662,plain,
    aa_nat_nat(suc,zero_zero_nat) = size_size_option_num(none_num),
    inference(cnf_transformation,[],[f9427]) ).

tff(f41792,plain,
    ! [X0: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X0) = collect_nat(vEBT_vebt_member(X0)) ),
    inference(cnf_transformation,[],[f9452]) ).

tff(f43801,plain,
    pp(fTrue),
    inference(cnf_transformation,[],[f10390]) ).

tff(f43808,plain,
    ~ pp(fFalse),
    inference(cnf_transformation,[],[f10397]) ).

tff(f43855,plain,
    ! [X0: bool] :
      ( ( fFalse = X0 )
      | ( fTrue = X0 ) ),
    inference(cnf_transformation,[],[f10444]) ).

tff(f43861,plain,
    ~ pp(aa_set_nat_bool(member_nat(y),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,vEBT_VEBT_set_vebt(t)),insert_nat(x,bot_bot_set_nat)))),
    inference(cnf_transformation,[],[f10609]) ).

tff(f43864,plain,
    pp(aa_set_nat_bool(member_nat(y),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(definition_unfolding,[],[f25098,f41792]) ).

tff(f43881,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,collect_nat(vEBT_vebt_member(t))),insert_nat(x,bot_bot_set_nat))),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(definition_unfolding,[],[f25988,f41792,f41792]) ).

tff(f44840,plain,
    ~ pp(aa_set_nat_bool(member_nat(y),aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,collect_nat(vEBT_vebt_member(t))),insert_nat(x,bot_bot_set_nat)))),
    inference(definition_unfolding,[],[f43861,f41792]) ).

tff(f47346,definition,
    sF2864 = member_nat(y),
    introduced(definition,[new_symbols(definition,[sF2864])],[function_definition]) ).

tff(f47347,plain,
    member_nat(y) = sF2864,
    inference(reorient_equations,[],[f47346]) ).

tff(f47348,definition,
    sF2865 = vEBT_vebt_member(t),
    introduced(definition,[new_symbols(definition,[sF2865])],[function_definition]) ).

tff(f47349,plain,
    vEBT_vebt_member(t) = sF2865,
    inference(reorient_equations,[],[f47348]) ).

tff(f47350,definition,
    sF2866 = collect_nat(sF2865),
    introduced(definition,[new_symbols(definition,[sF2866])],[function_definition]) ).

tff(f47351,plain,
    collect_nat(sF2865) = sF2866,
    inference(reorient_equations,[],[f47350]) ).

tff(f47352,definition,
    sF2867 = aa_set2309701074089104077et_nat(sup_sup_set_nat,sF2866),
    introduced(definition,[new_symbols(definition,[sF2867])],[function_definition]) ).

tff(f47353,plain,
    aa_set2309701074089104077et_nat(sup_sup_set_nat,sF2866) = sF2867,
    inference(reorient_equations,[],[f47352]) ).

tff(f47354,definition,
    sF2868 = insert_nat(x,bot_bot_set_nat),
    introduced(definition,[new_symbols(definition,[sF2868])],[function_definition]) ).

tff(f47355,plain,
    insert_nat(x,bot_bot_set_nat) = sF2868,
    inference(reorient_equations,[],[f47354]) ).

tff(f47356,definition,
    sF2869 = aa_set_nat_set_nat(sF2867,sF2868),
    introduced(definition,[new_symbols(definition,[sF2869])],[function_definition]) ).

tff(f47357,plain,
    aa_set_nat_set_nat(sF2867,sF2868) = sF2869,
    inference(reorient_equations,[],[f47356]) ).

tff(f47358,definition,
    sF2870 = aa_set_nat_bool(sF2864,sF2869),
    introduced(definition,[new_symbols(definition,[sF2870])],[function_definition]) ).

tff(f47359,plain,
    aa_set_nat_bool(sF2864,sF2869) = sF2870,
    inference(reorient_equations,[],[f47358]) ).

tff(f47360,plain,
    ~ pp(sF2870),
    inference(definition_folding,[],[f44840,f47359,f47357,f47355,f47353,f47351,f47349,f47347]) ).

tff(f47863,plain,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X0) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),size_size_option_num(none_num)) ),
    inference(forward_demodulation,[],[f41007,f41662]) ).

tff(f48417,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f38128,f38371]) ).

tff(f48420,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,X2)),X1))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f38125,f38371]) ).

tff(f48421,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),X2)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X2))
      | ~ pp(aa_nat_bool(vEBT_vebt_member(X0),X1)) ),
    inference(forward_demodulation,[],[f38124,f38371]) ).

tff(f48425,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),n))),
    inference(forward_demodulation,[],[f38112,f38371]) ).

tff(f49004,plain,
    one_one_nat = size_size_option_num(none_num),
    inference(forward_demodulation,[],[f31665,f41662]) ).

tff(f49223,plain,
    ! [X2: set_nat,X0: nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,insert_nat(X0,X1)),X2) = aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X1),insert_nat(X0,X2)) ),
    inference(forward_demodulation,[],[f25105,f25111]) ).

tff(f49363,plain,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),size_size_option_num(none_num)) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),X0) ),
    inference(forward_demodulation,[],[f47863,f38371]) ).

tff(f49696,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),X1)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f48417,f33453]) ).

tff(f49699,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,X2)),X1))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f48420,f33453]) ).

tff(f49700,plain,
    ! [X2: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(vEBT_vebt_member(X0),X1))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X2))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X2))) ),
    inference(forward_demodulation,[],[f48421,f33453]) ).

tff(f49704,plain,
    pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),n))),
    inference(forward_demodulation,[],[f48425,f33453]) ).

tff(f49943,plain,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),size_size_option_num(none_num)) = aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X0) ),
    inference(forward_demodulation,[],[f49363,f33453]) ).

tff(f50155,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(aa_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat)),X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f49696,f38371]) ).

tff(f50269,plain,
    ! [X0: nat] : ( aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X0) = aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),one_one_nat) ),
    inference(forward_demodulation,[],[f49943,f49004]) ).

tff(f50390,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f50155,f33453]) ).

tff(f50506,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X1),one_one_nat)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1)))
      | pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f50390,f50269]) ).

tff(f50574,plain,
    ! [X2: nat,X3: nat,X0: vEBT_VEBT,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X3),aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X1),one_one_nat)))
      | ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X2),aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X1),one_one_nat)))
      | pp(aa_nat_bool(vEBT_vebt_member(X0),X3))
      | ( X2 = X3 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X0,X2)),X3))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),X1)) ),
    inference(forward_demodulation,[],[f50506,f50269]) ).

tff(f50676,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,collect_nat(vEBT_vebt_member(t))),sF2868)),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(superposition,[],[f43881,f47355]) ).

tff(f50677,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,collect_nat(sF2865)),sF2868)),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(forward_demodulation,[],[f50676,f47349]) ).

tff(f50679,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,sF2866),sF2868)),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(forward_demodulation,[],[f50677,f47351]) ).

tff(f50681,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,aa_set_nat_set_nat(sF2867,sF2868)),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(forward_demodulation,[],[f50679,f47353]) ).

tff(f50683,plain,
    pp(aa_set_nat_bool(aa_set5116768664143533222t_bool(ord_less_eq_set_nat,sF2869),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x))))),
    inference(forward_demodulation,[],[f50681,f47357]) ).

tff(f50689,plain,
    sF2868 = insert_nat(x,sF2868),
    inference(superposition,[],[f25287,f47355]) ).

tff(f50719,plain,
    ! [X0: nat] :
      ( pp(aa_set_nat_bool(member_nat(X0),sF2866))
      | ~ pp(aa_nat_bool(sF2865,X0)) ),
    inference(superposition,[],[f25585,f47351]) ).

tff(f50872,plain,
    ( pp(aa_set_nat_bool(sF2864,sF2866))
    | ~ pp(aa_nat_bool(sF2865,y)) ),
    inference(superposition,[],[f50719,f47347]) ).

tff(f50876,definition,
    ( spl2871_85
  <=> pp(aa_nat_bool(sF2865,y)) ),
    introduced(definition,[new_symbols(definition,[spl2871_85])],[avatar_definition]) ).

tff(f50878,plain,
    ( ~ pp(aa_nat_bool(sF2865,y))
    | spl2871_85 ),
    inference(avatar_component_clause,[],[f50876]) ).

tff(f50880,definition,
    ( spl2871_86
  <=> pp(aa_set_nat_bool(sF2864,sF2866)) ),
    introduced(definition,[new_symbols(definition,[spl2871_86])],[avatar_definition]) ).

tff(f50882,plain,
    ( pp(aa_set_nat_bool(sF2864,sF2866))
    | ~ spl2871_86 ),
    inference(avatar_component_clause,[],[f50880]) ).

tff(f50883,plain,
    ( ~ spl2871_85
    | spl2871_86 ),
    inference(avatar_split_clause,[],[f50872,f50880,f50876]) ).

tff(f50893,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( pp(aa_set_nat_bool(sF2864,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),X1)))
      | ~ pp(aa_set_nat_bool(sF2864,X1)) ),
    inference(superposition,[],[f25716,f47347]) ).

tff(f50923,plain,
    pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(t,x)),y)),
    inference(resolution,[],[f25584,f43864]) ).

tff(f51028,plain,
    ! [X0: vEBT_VEBT] :
      ( pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,x)),n))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),n)) ),
    inference(resolution,[],[f49704,f49699]) ).

tff(f51036,plain,
    ! [X0: vEBT_VEBT] :
      ( pp(fFalse)
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),n))
      | ( fTrue = aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,x)),n) ) ),
    inference(superposition,[],[f51028,f43855]) ).

tff(f51037,plain,
    ! [X0: vEBT_VEBT] :
      ( ~ pp(aa_nat_bool(vEBT_invar_vebt(X0),n))
      | ( fTrue = aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(X0,x)),n) ) ),
    inference(forward_subsumption_resolution,[],[f51036,f43808]) ).

tff(f51051,plain,
    ! [X0: nat,X1: set_nat] : ( aa_set_nat_set_nat(sF2867,insert_nat(X0,X1)) = insert_nat(X0,aa_set_nat_set_nat(sF2867,X1)) ),
    inference(superposition,[],[f25111,f47353]) ).

tff(f51079,plain,
    ! [X0: nat] : ( aa_set_nat_set_nat(sF2867,insert_nat(X0,sF2868)) = insert_nat(X0,sF2869) ),
    inference(superposition,[],[f51051,f47357]) ).

tff(f51096,plain,
    aa_set_nat_set_nat(sF2867,sF2868) = insert_nat(x,sF2869),
    inference(superposition,[],[f51079,f50689]) ).

tff(f51100,plain,
    sF2869 = insert_nat(x,sF2869),
    inference(forward_demodulation,[],[f51096,f47357]) ).

tff(f51105,plain,
    pp(aa_set_nat_bool(member_nat(x),sF2869)),
    inference(superposition,[],[f25559,f51100]) ).

tff(f51248,plain,
    ! [X0: nat] :
      ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,y),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X0))) ),
    inference(resolution,[],[f49700,f50923]) ).

tff(f51252,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,y),aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),one_one_nat)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0)) ),
    inference(forward_demodulation,[],[f51248,f50269]) ).

tff(f51253,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X1),aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X0),one_one_nat)))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
      | pp(aa_nat_bool(vEBT_vebt_member(X2),y))
      | ( y = X1 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X2,X1)),y))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X2),X0)) ),
    inference(resolution,[],[f51252,f50574]) ).

tff(f51282,plain,
    ! [X0: nat,X1: set_nat] : ( insert_nat(X0,X1) = aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X1),insert_nat(X0,bot_bot_set_nat)) ),
    inference(superposition,[],[f49223,f26005]) ).

tff(f51489,definition,
    ( spl2871_96
  <=> ( y = x ) ),
    introduced(definition,[new_symbols(definition,[spl2871_96])],[avatar_definition]) ).

tff(f51490,plain,
    ( ( y != x )
    | spl2871_96 ),
    inference(avatar_component_clause,[],[f51489]) ).

tff(f51491,plain,
    ( ( y = x )
    | ~ spl2871_96 ),
    inference(avatar_component_clause,[],[f51489]) ).

tff(f51497,plain,
    ( ( sF2864 = member_nat(x) )
    | ~ spl2871_96 ),
    inference(superposition,[],[f47347,f51491]) ).

tff(f51504,plain,
    ( pp(aa_set_nat_bool(sF2864,sF2869))
    | ~ spl2871_96 ),
    inference(superposition,[],[f51105,f51497]) ).

tff(f51522,plain,
    ( pp(sF2870)
    | ~ spl2871_96 ),
    inference(forward_demodulation,[],[f51504,f47359]) ).

tff(f51523,plain,
    ( $false
    | ~ spl2871_96 ),
    inference(forward_subsumption_resolution,[],[f51522,f47360]) ).

tff(f51524,plain,
    ~ spl2871_96,
    inference(avatar_contradiction_clause,[],[f51523]) ).

tff(f51528,plain,
    ! [X0: set_nat] : ( insert_nat(x,X0) = aa_set_nat_set_nat(aa_set2309701074089104077et_nat(sup_sup_set_nat,X0),sF2868) ),
    inference(superposition,[],[f51282,f47355]) ).

tff(f51548,plain,
    aa_set_nat_set_nat(sF2867,sF2868) = insert_nat(x,sF2866),
    inference(superposition,[],[f51528,f47353]) ).

tff(f51562,plain,
    sF2869 = insert_nat(x,sF2866),
    inference(forward_demodulation,[],[f51548,f47357]) ).

tff(f52616,plain,
    fTrue = aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),n),
    inference(resolution,[],[f51037,f25990]) ).

tff(f53642,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ~ pp(aa_set_nat_bool(sF2864,aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,X0),X1)))
      | pp(aa_set_nat_bool(sF2864,X0)) ),
    inference(superposition,[],[f50893,f30185]) ).

tff(f55490,plain,
    ! [X0: nat,X1: set_nat] : ( aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,insert_nat(X0,X1)),X1) = X1 ),
    inference(superposition,[],[f29988,f25982]) ).

tff(f55527,plain,
    sF2866 = aa_set_nat_set_nat(aa_set2309701074089104077et_nat(inf_inf_set_nat,sF2869),sF2866),
    inference(superposition,[],[f55490,f51562]) ).

tff(f57718,plain,
    ! [X0: nat] :
      ( pp(aa_set_nat_bool(member_nat(X0),collect_nat(vEBT_vebt_member(vEBT_vebt_insert(t,x)))))
      | ~ pp(aa_set_nat_bool(member_nat(X0),sF2869)) ),
    inference(resolution,[],[f26240,f50683]) ).

tff(f57751,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(t,x)),X0))
      | ~ pp(aa_set_nat_bool(member_nat(X0),sF2869)) ),
    inference(resolution,[],[f57718,f25584]) ).

tff(f57767,plain,
    ! [X0: nat,X1: nat] :
      ( ~ pp(aa_set_nat_bool(member_nat(X0),sF2869))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1))
      | pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),X1))) ),
    inference(resolution,[],[f57751,f49700]) ).

tff(f57797,plain,
    ! [X0: nat,X1: nat] :
      ( pp(aa_nat_bool(aa_nat_fun_nat_bool(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(bit_se547839408752420682it_nat,X1),one_one_nat)))
      | ~ pp(aa_set_nat_bool(member_nat(X0),sF2869))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1)) ),
    inference(forward_demodulation,[],[f57767,f50269]) ).

tff(f57814,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: nat] :
      ( ~ pp(aa_set_nat_bool(member_nat(X0),sF2869))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1))
      | pp(aa_nat_bool(vEBT_vebt_member(X2),y))
      | ( y = X0 )
      | ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X2,X0)),y))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X2),X1)) ),
    inference(resolution,[],[f57797,f51253]) ).

tff(f57834,plain,
    ! [X2: vEBT_VEBT,X0: nat,X1: nat] :
      ( ~ pp(aa_nat_bool(vEBT_vebt_member(vEBT_vebt_insert(X2,X0)),y))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1))
      | pp(aa_nat_bool(vEBT_vebt_member(X2),y))
      | ( y = X0 )
      | ~ pp(aa_set_nat_bool(member_nat(X0),sF2869))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(X2),X1)) ),
    inference(duplicate_literal_removal,[],[f57814]) ).

tff(f57910,definition,
    ( spl2871_151
  <=> ! [X1: nat] :
        ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X1)) ) ),
    introduced(definition,[new_symbols(definition,[spl2871_151])],[avatar_definition]) ).

tff(f57911,plain,
    ( ! [X1: nat] :
        ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X1))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X1)) )
    | ~ spl2871_151 ),
    inference(avatar_component_clause,[],[f57910]) ).

tff(f57923,plain,
    ( ~ pp(fTrue)
    | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),n))
    | ~ spl2871_151 ),
    inference(superposition,[],[f57911,f52616]) ).

tff(f57933,plain,
    ( ~ pp(aa_nat_bool(vEBT_invar_vebt(t),n))
    | ~ spl2871_151 ),
    inference(forward_subsumption_resolution,[],[f57923,f43801]) ).

tff(f57950,plain,
    ( $false
    | ~ spl2871_151 ),
    inference(forward_subsumption_resolution,[],[f57933,f25990]) ).

tff(f57951,plain,
    ~ spl2871_151,
    inference(avatar_contradiction_clause,[],[f57950]) ).

tff(f60643,plain,
    ( ~ pp(aa_set_nat_bool(sF2864,sF2866))
    | pp(aa_set_nat_bool(sF2864,sF2869)) ),
    inference(superposition,[],[f53642,f55527]) ).

tff(f61927,plain,
    ! [X0: nat] :
      ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
      | pp(aa_nat_bool(vEBT_vebt_member(t),y))
      | ( y = x )
      | ~ pp(aa_set_nat_bool(member_nat(x),sF2869))
      | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X0)) ),
    inference(resolution,[],[f57834,f50923]) ).

tff(f61941,plain,
    ( ! [X0: nat] :
        ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
        | pp(aa_nat_bool(vEBT_vebt_member(t),y))
        | ~ pp(aa_set_nat_bool(member_nat(x),sF2869))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X0)) )
    | spl2871_96 ),
    inference(forward_subsumption_resolution,[],[f61927,f51490]) ).

tff(f61944,plain,
    ( ! [X0: nat] :
        ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
        | pp(aa_nat_bool(vEBT_vebt_member(t),y))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X0)) )
    | spl2871_96 ),
    inference(forward_subsumption_resolution,[],[f61941,f51105]) ).

tff(f61947,plain,
    ( ! [X0: nat] :
        ( pp(aa_nat_bool(sF2865,y))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X0)) )
    | spl2871_96 ),
    inference(forward_demodulation,[],[f61944,f47349]) ).

tff(f61950,plain,
    ( ! [X0: nat] :
        ( ~ pp(aa_nat_bool(vEBT_invar_vebt(vEBT_vebt_insert(t,x)),X0))
        | ~ pp(aa_nat_bool(vEBT_invar_vebt(t),X0)) )
    | spl2871_85
    | spl2871_96 ),
    inference(forward_subsumption_resolution,[],[f61947,f50878]) ).

tff(f61953,plain,
    ( spl2871_151
    | spl2871_85
    | spl2871_96 ),
    inference(avatar_split_clause,[],[f61950,f51489,f50876,f57910]) ).

tff(f61966,plain,
    ( pp(aa_set_nat_bool(sF2864,sF2869))
    | ~ spl2871_86 ),
    inference(forward_subsumption_resolution,[],[f60643,f50882]) ).

tff(f61982,plain,
    ( pp(sF2870)
    | ~ spl2871_86 ),
    inference(forward_demodulation,[],[f61966,f47359]) ).

tff(f61991,plain,
    ( $false
    | ~ spl2871_86 ),
    inference(forward_subsumption_resolution,[],[f61982,f47360]) ).

tff(f61992,plain,
    ~ spl2871_86,
    inference(avatar_contradiction_clause,[],[f61991]) ).

cnf(s72,plain,
    ( ~ spl2871_85
    | spl2871_86 ),
    inference(sat_conversion,[],[f50883]) ).

cnf(s83,plain,
    ~ spl2871_96,
    inference(sat_conversion,[],[f51524]) ).

cnf(s134,plain,
    ~ spl2871_151,
    inference(sat_conversion,[],[f57951]) ).

cnf(s144,plain,
    ( spl2871_85
    | spl2871_96
    | spl2871_151 ),
    inference(sat_conversion,[],[f61953]) ).

cnf(s156,plain,
    ~ spl2871_86,
    inference(sat_conversion,[],[f61992]) ).

cnf(s160,plain,
    spl2871_85,
    inference(rat,[],[s144,s134,s83]) ).

cnf(s167,plain,
    $false,
    inference(rat,[],[s72,s156,s160]) ).

tff(f61995,plain,
    $false,
    inference(avatar_sat_refutation,[],[s167]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : ITP235_1 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42  % Computer : n002.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Sun Sep 27 12:33:51 UTC 2026
% 0.17/0.42  % CPUTime  : 
% 0.17/0.43  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.48  Running first-order theorem proving
% 0.17/0.48  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.44/5.56  % (3466656)Detected formulas, will run a generic FOF schedule.
% 26.44/5.56  % (3466661)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3340183445:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 26.44/5.56  % (3466667)dis-21_1_sil=8000:lcm=predicate:random_seed=3475269300:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 26.44/5.56  % (3466665)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1840807678:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 26.44/5.56  % (3466666)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2517991629:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 26.44/5.56  % (3466664)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=588291378:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 26.44/5.56  % (3466662)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=438602512:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 26.44/5.56  % (3466663)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3018857836:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 26.44/5.56  % (3466664)Instruction limit reached! 
% 26.44/5.56  % (3466664)------------------------------
% 26.44/5.56  % (3466664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.44/5.56  % (3466664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/5.56  % (3466664)CaDiCaL version: 2.1.3
% 26.44/5.56  % (3466664)Termination reason: Instruction limit
% 26.44/5.56  % (3466664)Termination phase: Saturation
% 26.44/5.56  % (3466664)Time elapsed: 0.111 s
% 26.44/5.56  % (3466664)Peak memory usage: 99 MB
% 26.44/5.56  % (3466664)Instructions burned: 109 (million)
% 26.44/5.56  % (3466666)Instruction limit reached! 
% 26.44/5.56  % (3466666)------------------------------
% 26.44/5.56  % (3466666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.44/5.56  % (3466666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/5.56  % (3466666)CaDiCaL version: 2.1.3
% 26.44/5.56  % (3466666)Termination reason: Instruction limit
% 26.44/5.56  % (3466666)Termination phase: Property scanning
% 26.44/5.56  % (3466666)Time elapsed: 0.113 s
% 26.44/5.56  % (3466666)Peak memory usage: 94 MB
% 26.44/5.56  % (3466666)Instructions burned: 139 (million)
% 26.44/5.56  % (3466665)Instruction limit reached! 
% 26.44/5.56  % (3466665)------------------------------
% 26.44/5.56  % (3466665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.44/5.56  % (3466665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/5.56  % (3466665)CaDiCaL version: 2.1.3
% 26.44/5.56  % (3466665)Termination reason: Instruction limit
% 26.44/5.56  % (3466665)Termination phase: Preprocessing 3
% 26.44/5.56  % (3466665)Time elapsed: 0.129 s
% 26.44/5.56  % (3466665)Peak memory usage: 97 MB
% 26.44/5.56  % (3466665)Instructions burned: 120 (million)
% 26.44/5.56  % (3466667)Instruction limit reached! 
% 26.44/5.56  % (3466667)------------------------------
% 26.44/5.56  % (3466667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.44/5.56  % (3466667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.44/5.56  % (3466667)CaDiCaL version: 2.1.3
% 26.44/5.56  % (3466667)Termination reason: Instruction limit
% 26.44/5.56  % (3466667)Termination phase: Preprocessing 2
% 26.44/5.56  % (3466667)Time elapsed: 0.140 s
% 26.44/5.56  % (3466667)Peak memory usage: 96 MB
% 26.44/5.56  % (3466667)Instructions burned: 131 (million)
% 26.44/5.56  % (3466675)lrs+10_1_sil=8000:sp=occurrence:random_seed=136446909:i=285:sd=3:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/285Mi)
% 26.44/5.56  % (3466676)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2493054403:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 26.44/5.56  % (3466677)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3213852782:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 26.44/5.56  % (3466678)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=732310133:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 26.44/5.56  % (3466676)Instruction limit reached! 
% 37.53/7.11  % (3466676)------------------------------
% 37.53/7.11  % (3466676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466676)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466676)Termination reason: Instruction limit
% 37.53/7.11  % (3466676)Termination phase: Property scanning
% 37.53/7.11  % (3466676)Time elapsed: 0.130 s
% 37.53/7.11  % (3466676)Peak memory usage: 94 MB
% 37.53/7.11  % (3466676)Instructions burned: 158 (million)
% 37.53/7.11  % (3466678)Instruction limit reached! 
% 37.53/7.11  % (3466678)------------------------------
% 37.53/7.11  % (3466678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466678)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466678)Termination reason: Instruction limit
% 37.53/7.11  % (3466678)Termination phase: SInE selection
% 37.53/7.11  % (3466678)Time elapsed: 0.210 s
% 37.53/7.11  % (3466678)Peak memory usage: 95 MB
% 37.53/7.11  % (3466678)Instructions burned: 248 (million)
% 37.53/7.11  % (3466675)Instruction limit reached! 
% 37.53/7.11  % (3466675)------------------------------
% 37.53/7.11  % (3466675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466675)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466675)Termination reason: Instruction limit
% 37.53/7.11  % (3466675)Termination phase: Saturation
% 37.53/7.11  % (3466675)Time elapsed: 0.273 s
% 37.53/7.11  % (3466675)Peak memory usage: 101 MB
% 37.53/7.11  % (3466675)Instructions burned: 286 (million)
% 37.53/7.11  % (3466677)Instruction limit reached! 
% 37.53/7.11  % (3466677)------------------------------
% 37.53/7.11  % (3466677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466677)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466677)Termination reason: Instruction limit
% 37.53/7.11  % (3466677)Termination phase: Saturation
% 37.53/7.11  % (3466677)Time elapsed: 0.298 s
% 37.53/7.11  % (3466677)Peak memory usage: 101 MB
% 37.53/7.11  % (3466677)Instructions burned: 325 (million)
% 37.53/7.11  % (3466683)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1714438840:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2983 on theBenchmark for (2983ds/294Mi)
% 37.53/7.11  % (3466684)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3212952407:i=2350_2982 on theBenchmark for (2982ds/2350Mi)
% 37.53/7.11  % (3466685)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=752278743:cts=off:i=113:fsr=off:ss=included:sgt=4_2981 on theBenchmark for (2981ds/113Mi)
% 37.53/7.11  % (3466686)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=564710747:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 37.53/7.11  % (3466685)Instruction limit reached! 
% 37.53/7.11  % (3466685)------------------------------
% 37.53/7.11  % (3466685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466685)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466685)Termination reason: Instruction limit
% 37.53/7.11  % (3466685)Termination phase: Preprocessing 1
% 37.53/7.11  % (3466685)Time elapsed: 0.120 s
% 37.53/7.11  % (3466685)Peak memory usage: 95 MB
% 37.53/7.11  % (3466685)Instructions burned: 113 (million)
% 37.53/7.11  % (3466683)Instruction limit reached! 
% 37.53/7.11  % (3466683)------------------------------
% 37.53/7.11  % (3466683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466683)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466683)Termination reason: Instruction limit
% 37.53/7.11  % (3466683)Termination phase: Property scanning
% 37.53/7.11  % (3466683)Time elapsed: 0.272 s
% 37.53/7.11  % (3466683)Peak memory usage: 99 MB
% 37.53/7.11  % (3466683)Instructions burned: 294 (million)
% 37.53/7.11  % (3466686)Instruction limit reached! 
% 37.53/7.11  % (3466686)------------------------------
% 37.53/7.11  % (3466686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.53/7.11  % (3466686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.53/7.11  % (3466686)CaDiCaL version: 2.1.3
% 37.53/7.11  % (3466686)Termination reason: Instruction limit
% 22.41/8.57  % (3466686)Termination phase: Preprocessing 3
% 22.41/8.57  % (3466686)Time elapsed: 0.139 s
% 22.41/8.57  % (3466686)Peak memory usage: 100 MB
% 22.41/8.57  % (3466686)Instructions burned: 128 (million)
% 22.41/8.57  % (3466691)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3772489501:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2977 on theBenchmark for (2977ds/114Mi)
% 22.41/8.57  % (3466692)lrs+10_1_sil=8000:sp=occurrence:random_seed=328572108:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2977 on theBenchmark for (2977ds/907Mi)
% 22.41/8.57  % (3466691)Instruction limit reached! 
% 22.41/8.57  % (3466691)------------------------------
% 22.41/8.57  % (3466691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466691)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466691)Termination reason: Instruction limit
% 22.41/8.57  % (3466691)Termination phase: Property scanning
% 22.41/8.57  % (3466691)Time elapsed: 0.094 s
% 22.41/8.57  % (3466691)Peak memory usage: 94 MB
% 22.41/8.57  % (3466691)Instructions burned: 114 (million)
% 22.41/8.57  % (3466693)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1641122990:i=437:sd=1:aac=none:ss=included_2976 on theBenchmark for (2976ds/437Mi)
% 22.41/8.57  % (3466699)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1941142500:i=5202:ss=axioms:sgt=16_2974 on theBenchmark for (2974ds/5202Mi)
% 22.41/8.57  % (3466693)Instruction limit reached! 
% 22.41/8.57  % (3466693)------------------------------
% 22.41/8.57  % (3466693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466693)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466693)Termination reason: Instruction limit
% 22.41/8.57  % (3466693)Termination phase: Property scanning
% 22.41/8.57  % (3466693)Time elapsed: 0.427 s
% 22.41/8.57  % (3466693)Peak memory usage: 109 MB
% 22.41/8.57  % (3466693)Instructions burned: 437 (million)
% 22.41/8.57  % (3466703)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2142483689:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 22.41/8.57  % (3466692)Instruction limit reached! 
% 22.41/8.57  % (3466692)------------------------------
% 22.41/8.57  % (3466692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466692)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466692)Termination reason: Instruction limit
% 22.41/8.57  % (3466692)Termination phase: Saturation
% 22.41/8.57  % (3466692)Time elapsed: 0.806 s
% 22.41/8.57  % (3466692)Peak memory usage: 107 MB
% 22.41/8.57  % (3466692)Instructions burned: 907 (million)
% 22.41/8.57  % (3466703)Instruction limit reached! 
% 22.41/8.57  % (3466703)------------------------------
% 22.41/8.57  % (3466703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466703)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466703)Termination reason: Instruction limit
% 22.41/8.57  % (3466703)Termination phase: Preprocessing 2
% 22.41/8.57  % (3466703)Time elapsed: 0.149 s
% 22.41/8.57  % (3466703)Peak memory usage: 98 MB
% 22.41/8.57  % (3466703)Instructions burned: 134 (million)
% 22.41/8.57  % (3466705)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2153282766:st=8:i=592:sd=3:ep=RST:ss=axioms_2966 on theBenchmark for (2966ds/592Mi)
% 22.41/8.57  % (3466706)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3118187617:st=3:i=13193:sd=3:ss=axioms_2965 on theBenchmark for (2965ds/13193Mi)
% 22.41/8.57  % (3466705)Instruction limit reached! 
% 22.41/8.57  % (3466705)------------------------------
% 22.41/8.57  % (3466705)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466705)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466705)Termination reason: Instruction limit
% 22.41/8.57  % (3466705)Termination phase: Property scanning
% 22.41/8.57  % (3466705)Time elapsed: 0.555 s
% 22.41/8.57  % (3466705)Peak memory usage: 106 MB
% 22.41/8.57  % (3466705)Instructions burned: 592 (million)
% 22.41/8.57  % (3466713)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3168547963:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/125Mi)
% 22.41/8.57  % (3466684)Instruction limit reached! 
% 22.41/8.57  % (3466684)------------------------------
% 22.41/8.57  % (3466684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466684)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466684)Termination reason: Instruction limit
% 22.41/8.57  % (3466684)Termination phase: Saturation
% 22.41/8.57  % (3466684)Time elapsed: 2.515 s
% 22.41/8.57  % (3466684)Peak memory usage: 274 MB
% 22.41/8.57  % (3466684)Instructions burned: 2350 (million)
% 22.41/8.57  % (3466713)Instruction limit reached! 
% 22.41/8.57  % (3466713)------------------------------
% 22.41/8.57  % (3466713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466713)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466713)Termination reason: Instruction limit
% 22.41/8.57  % (3466713)Termination phase: Property scanning
% 22.41/8.57  % (3466713)Time elapsed: 0.102 s
% 22.41/8.57  % (3466713)Peak memory usage: 94 MB
% 22.41/8.57  % (3466713)Instructions burned: 125 (million)
% 22.41/8.57  % (3466717)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2201773443:i=134:gtgl=5:slsql=off:gtg=exists_sym_2954 on theBenchmark for (2954ds/134Mi)
% 22.41/8.57  % (3466718)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3253628721:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2953 on theBenchmark for (2953ds/141Mi)
% 22.41/8.57  % (3466717)Instruction limit reached! 
% 22.41/8.57  % (3466717)------------------------------
% 22.41/8.57  % (3466717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466717)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466717)Termination reason: Instruction limit
% 22.41/8.57  % (3466717)Termination phase: Property scanning
% 22.41/8.57  % (3466717)Time elapsed: 0.110 s
% 22.41/8.57  % (3466717)Peak memory usage: 94 MB
% 22.41/8.57  % (3466717)Instructions burned: 135 (million)
% 22.41/8.57  % (3466718)Refutation not found, incomplete strategy
% 22.41/8.57  % (3466718)------------------------------
% 22.41/8.57  % (3466718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466718)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466718)Termination reason: Refutation not found, incomplete strategy
% 22.41/8.57  % (3466718)Time elapsed: 0.076 s
% 22.41/8.57  % (3466718)Peak memory usage: 98 MB
% 22.41/8.57  % (3466718)Instructions burned: 74 (million)
% 22.41/8.57  % (3466721)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4221726836:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2950 on theBenchmark for (2950ds/431Mi)
% 22.41/8.57  % (3466718)------------------------------
% 22.41/8.57  % (3466718)------------------------------
% 22.41/8.57  % (3466721)Instruction limit reached! 
% 22.41/8.57  % (3466721)------------------------------
% 22.41/8.57  % (3466721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466721)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466721)Termination reason: Instruction limit
% 22.41/8.57  % (3466721)Termination phase: Saturation
% 22.41/8.57  % (3466721)Time elapsed: 0.395 s
% 22.41/8.57  % (3466721)Peak memory usage: 100 MB
% 22.41/8.57  % (3466721)Instructions burned: 432 (million)
% 22.41/8.57  % (3466723)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1729869728:i=6060:aac=none:ins=25_2946 on theBenchmark for (2946ds/6060Mi)
% 22.41/8.57  % (3466724)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4073415709:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2943 on theBenchmark for (2943ds/150Mi)
% 22.41/8.57  % (3466724)Instruction limit reached! 
% 22.41/8.57  % (3466724)------------------------------
% 22.41/8.57  % (3466724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.41/8.57  % (3466724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.41/8.57  % (3466724)CaDiCaL version: 2.1.3
% 22.41/8.57  % (3466724)Termination reason: Instruction limit
% 22.41/8.57  % (3466724)Termination phase: Naming
% 22.41/8.57  % (3466724)Time elapsed: 0.164 s
% 22.41/8.57  % (3466724)Peak memory usage: 98 MB
% 22.41/8.57  % (3466724)Instructions burned: 151 (million)
% 22.41/8.57  % (3466727)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=792581441:i=14155:bd=all_2939 on theBenchmark for (2939ds/14155Mi)
% 22.41/8.57  % (3466661)First to succeed.
% 22.41/8.57  % (3466661)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3466656"
% 22.41/8.57  % (3466661)Refutation found. Thanks to Tanya!
% 22.41/8.57  % SZS status Theorem for theBenchmark
% 22.41/8.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/8.80  % (3466661)------------------------------
% 0.23/8.80  % (3466661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/8.80  % (3466661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/8.80  % (3466661)CaDiCaL version: 2.1.3
% 0.23/8.80  % (3466661)Termination reason: Refutation
% 0.23/8.80  % (3466661)Time elapsed: 6.067 s
% 0.23/8.80  % (3466661)Peak memory usage: 352 MB
% 0.23/8.80  % (3466661)Instructions burned: 11100 (million)
% 0.23/8.80  % (3466661)------------------------------
% 0.23/8.80  % (3466661)------------------------------
% 0.23/8.80  % (3466656)Success in time 7.497 s
% 0.23/8.80  % Vampire exiting
%------------------------------------------------------------------------------