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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : ITP220_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n019.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 11:37:11 AM UTC 2026

% Result   : Theorem 46.05s 7.46s
% Output   : Refutation 46.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   36 (  22 unt;   0 typ;   2 def)
%            Number of atoms       :   55 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   47 (  28   ~;  15   |;   0   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :  245 ( 244 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  452 ( 450 usr;   3 prp; 0-9 aty)
%            Number of functors    : 2498 (2498 usr; 464 con; 0-8 aty)
%            Number of variables   :   15 (   0 sgn  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    fun_Co9168753396221475450atural: $tType ).

tff(type_def_6,type,
    fun_Co1105491363547889651atural: $tType ).

tff(type_def_7,type,
    fun_Co1890133979025130057atural: $tType ).

tff(type_def_8,type,
    fun_fu3373238862511017284_nat_o: $tType ).

tff(type_def_9,type,
    fun_fu5323616038969315652_int_o: $tType ).

tff(type_def_10,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_11,type,
    fun_Pr7769407664385210434atural: $tType ).

tff(type_def_12,type,
    fun_Co5709460363461100952atural: $tType ).

tff(type_def_13,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_14,type,
    produc6756470014200349799atural: $tType ).

tff(type_def_15,type,
    fun_Pr3592279944642289454ural_o: $tType ).

tff(type_def_16,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_17,type,
    fun_fu1950632212952468284_rat_o: $tType ).

tff(type_def_18,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_19,type,
    fun_Pr1308109350235310159nt_int: $tType ).

tff(type_def_20,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_21,type,
    fun_fu4638078822479986034_int_o: $tType ).

tff(type_def_22,type,
    fun_fu4306744791715064858_rat_o: $tType ).

tff(type_def_23,type,
    fun_fu6699046866436802030_int_o: $tType ).

tff(type_def_24,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_25,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_26,type,
    fun_fu1098312133097393581at_rat: $tType ).

tff(type_def_27,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_28,type,
    fun_fu9045186299510176150at_o_o: $tType ).

tff(type_def_29,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_30,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_31,type,
    fun_fu6910828598506988974real_o: $tType ).

tff(type_def_32,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_33,type,
    produc5835291356934675326atural: $tType ).

tff(type_def_34,type,
    fun_fu7677565902479959693_rat_o: $tType ).

tff(type_def_35,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_36,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_37,type,
    fun_fu8391177546919232046_nat_o: $tType ).

tff(type_def_38,type,
    fun_fu7503566767892366382_int_o: $tType ).

tff(type_def_39,type,
    fun_Pr4799464687642144302_num_o: $tType ).

tff(type_def_40,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_41,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_42,type,
    fun_fu3711856879280950809l_real: $tType ).

tff(type_def_43,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_44,type,
    fun_fu2034268335391280352ural_o: $tType ).

tff(type_def_45,type,
    fun_fu726873822431485118eger_o: $tType ).

tff(type_def_46,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_47,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_48,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_49,type,
    fun_fu9090758901314268781nt_o_o: $tType ).

tff(type_def_50,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_51,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_52,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_53,type,
    fun_fu6924846375782198887atural: $tType ).

tff(type_def_54,type,
    fun_fu6921880696561781257nteger: $tType ).

tff(type_def_55,type,
    fun_fu6196024946523381971eger_o: $tType ).

tff(type_def_56,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_57,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_58,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_59,type,
    fun_Co6813818151677833714atural: $tType ).

tff(type_def_60,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_61,type,
    fun_fu7981297689148232565al_o_o: $tType ).

tff(type_def_62,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_63,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_64,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_65,type,
    fun_fu4846507671440591850_rat_o: $tType ).

tff(type_def_66,type,
    fun_fu5908277796454533188_int_o: $tType ).

tff(type_def_67,type,
    fun_fu6714665071556184448_rat_o: $tType ).

tff(type_def_68,type,
    fun_fu9201817095025044880_nat_o: $tType ).

tff(type_def_69,type,
    fun_fu4208408993564413984_int_o: $tType ).

tff(type_def_70,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_71,type,
    fun_Pr4738963024209204295_int_o: $tType ).

tff(type_def_72,type,
    fun_Pr7537129237977221859_rat_o: $tType ).

tff(type_def_73,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_74,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_75,type,
    fun_na607345901702507418atural: $tType ).

tff(type_def_76,type,
    fun_na7078387940644931716nteger: $tType ).

tff(type_def_77,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_78,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_79,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_80,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_81,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_82,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_83,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_84,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_85,type,
    produc7822875418678951345atural: $tType ).

tff(type_def_86,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_87,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_88,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_89,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_90,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_91,type,
    fun_fu2916398056546941156ural_o: $tType ).

tff(type_def_92,type,
    fun_fu1769128043447206010eger_o: $tType ).

tff(type_def_93,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_94,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_95,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_96,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_97,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_98,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_99,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_100,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_101,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_102,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_103,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_104,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_105,type,
    fun_fu1771228864347509049real_o: $tType ).

tff(type_def_106,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_107,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_108,type,
    fun_nu2537414170016844299nteger: $tType ).

tff(type_def_109,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_110,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_111,type,
    fun_Su884838341992399436at_nat: $tType ).

tff(type_def_112,type,
    fun_na3635074868517587788at_nat: $tType ).

tff(type_def_113,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_114,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_115,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_116,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_117,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_118,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_119,type,
    fun_Co7398788559141407565atural: $tType ).

tff(type_def_120,type,
    fun_Co2940338738630218498nteger: $tType ).

tff(type_def_121,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_122,type,
    fun_na8563630686737515764_nat_o: $tType ).

tff(type_def_123,type,
    fun_na2240068485812228818ural_o: $tType ).

tff(type_def_124,type,
    fun_in4891666191172872833eger_o: $tType ).

tff(type_def_125,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_126,type,
    fun_re7681423839302404990l_real: $tType ).

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

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

tff(type_def_129,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_130,type,
    fun_na6724076748692969250l_real: $tType ).

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

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

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

tff(type_def_134,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

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

tff(type_def_142,type,
    fun_na1554462459066888140plex_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_170,type,
    fun_Pr1792556611952799308t_real: $tType ).

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

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

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

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

tff(type_def_175,type,
    fun_na8797796813480665199d_enat: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_complex > fun_complex_o ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_real > fun_real_o ).

tff(func_def_2,type,
    aTP_Lamm_ab: set_list_nat > fun_list_nat_o ).

tff(func_def_3,type,
    aTP_Lamm_ac: set_set_nat > fun_set_nat_o ).

tff(func_def_4,type,
    aTP_Lamm_ad: set_nat > fun_nat_o ).

tff(func_def_5,type,
    aTP_Lamm_ae: set_int > fun_int_o ).

tff(func_def_6,type,
    aTP_Lamm_af: fun_nat_fun_nat_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_int_nat ).

tff(func_def_8,type,
    aTP_Lamm_ah: set_nat > fun_nat_fun_nat_o ).

tff(func_def_9,type,
    aTP_Lamm_ai: set_nat > fun_nat_fun_nat_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: complex > fun_na1554462459066888140plex_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: nat > fun_complex_o ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_nat_fun_nat_o ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_re4238438383274954274t_real ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_nat ).

tff(func_def_15,type,
    aTP_Lamm_ao: fun_int_int ).

tff(func_def_16,type,
    aTP_Lamm_ap: fun_re4238438383274954274t_real ).

tff(func_def_17,type,
    aTP_Lamm_aq: fun_re4238438383274954274t_real ).

tff(func_def_18,type,
    aTP_Lamm_ar: fun_nat_real ).

tff(func_def_19,type,
    aTP_Lamm_as: nat > fun_nat_complex ).

tff(func_def_20,type,
    aTP_Lamm_at: fun_re4238438383274954274t_real ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_nat_real ).

tff(func_def_23,type,
    aTP_Lamm_aw: fun_nat_real > fun_nat_real ).

tff(func_def_24,type,
    aTP_Lamm_ax: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_25,type,
    aTP_Lamm_ay: fun_re4238438383274954274t_real ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_re4238438383274954274t_real ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_re4238438383274954274t_real ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_nat_real ).

tff(func_def_29,type,
    aTP_Lamm_bc: real > fun_fu6899955116716589935t_real ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_31,type,
    aTP_Lamm_be: fun_nat_real > fun_nat_real ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_nat_real > fun_nat_real ).

tff(func_def_33,type,
    aTP_Lamm_bg: fun_re4238438383274954274t_real ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_fun_nat_nat ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_nat_fun_nat_nat ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_fun_nat_nat ).

tff(func_def_37,type,
    aTP_Lamm_bk: nat > fun_nat_fun_nat_nat ).

tff(func_def_38,type,
    aTP_Lamm_bl: nat > fun_na3244735409550470327at_nat ).

tff(func_def_39,type,
    aTP_Lamm_bm: nat > fun_na3244735409550470327at_nat ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_42,type,
    aTP_Lamm_bp: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_43,type,
    aTP_Lamm_bq: fun_nat_fun_nat_nat ).

tff(func_def_44,type,
    aTP_Lamm_br: fun_nat_fun_nat_nat ).

tff(func_def_45,type,
    aTP_Lamm_bs: fun_complex_complex ).

tff(func_def_46,type,
    aTP_Lamm_bt: nat > fun_co1148497455491383662plex_o ).

tff(func_def_47,type,
    aTP_Lamm_bu: fun_nat_fun_nat_o ).

tff(func_def_48,type,
    aTP_Lamm_bv: nat > fun_nat_fun_nat_nat ).

tff(func_def_49,type,
    aTP_Lamm_bw: int > fun_in2204242111582549184nt_int ).

tff(func_def_50,type,
    aTP_Lamm_bx: rat > fun_in1696471567231710611nt_int ).

tff(func_def_51,type,
    aTP_Lamm_by: int > fun_in2204242111582549184nt_int ).

tff(func_def_52,type,
    aTP_Lamm_bz: rat > fun_in1696471567231710611nt_int ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_na4138050610385705875at_nat ).

tff(func_def_54,type,
    aTP_Lamm_cb: int > fun_in2204242111582549184nt_int ).

tff(func_def_55,type,
    aTP_Lamm_cc: rat > fun_in1696471567231710611nt_int ).

tff(func_def_56,type,
    aTP_Lamm_cd: int > fun_in2204242111582549184nt_int ).

tff(func_def_57,type,
    aTP_Lamm_ce: rat > fun_in1696471567231710611nt_int ).

tff(func_def_58,type,
    aTP_Lamm_cf: num > fun_na4138050610385705875at_nat ).

tff(func_def_59,type,
    aTP_Lamm_cg: fun_in1696471567231710611nt_int ).

tff(func_def_60,type,
    aTP_Lamm_ch: num > fun_in1696471567231710611nt_int ).

tff(func_def_61,type,
    aTP_Lamm_ci: fun_real_fun_real_o ).

tff(func_def_62,type,
    aTP_Lamm_cj: fun_real_o ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_real_fun_real_o ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_nat_fun_nat_nat ).

tff(func_def_65,type,
    aTP_Lamm_cm: int > fun_int_fun_int_o ).

tff(func_def_66,type,
    aTP_Lamm_cn: int > fun_int_fun_int_o ).

tff(func_def_67,type,
    aTP_Lamm_co: int > fun_int_fun_int_o ).

tff(func_def_68,type,
    aTP_Lamm_cp: int > fun_int_fun_int_o ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_int_fun_int_o ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_fun_nat_o ).

tff(func_def_71,type,
    aTP_Lamm_cs: fun_nat_fun_nat_nat ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_73,type,
    aTP_Lamm_cu: int > fun_int_int ).

tff(func_def_74,type,
    aTP_Lamm_cv: num > fun_Co2470855966376689427nteger ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_nat_o ).

tff(func_def_76,type,
    aTP_Lamm_cx: fun_nat_o ).

tff(func_def_77,type,
    aTP_Lamm_cy: fun_nat_fun_nat_nat ).

tff(func_def_78,type,
    aTP_Lamm_cz: fun_nat_fun_nat_nat ).

tff(func_def_79,type,
    aTP_Lamm_da: fun_nat_fun_nat_nat ).

tff(func_def_80,type,
    aTP_Lamm_db: fun_nat_fun_nat_nat ).

tff(func_def_81,type,
    aTP_Lamm_dc: rat > fun_int_o ).

tff(func_def_82,type,
    aTP_Lamm_dd: real > fun_int_o ).

tff(func_def_83,type,
    aTP_Lamm_de: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_84,type,
    aTP_Lamm_df: code_integer > fun_Co2470855966376689427nteger ).

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_nat_fun_nat_o ).

tff(func_def_89,type,
    aTP_Lamm_dk: fun_Co1092983284983208416er_int ).

tff(func_def_90,type,
    aTP_Lamm_dl: nat > fun_na4143055713577223196at_nat ).

tff(func_def_91,type,
    aTP_Lamm_dm: fun_na1668100129766719005at_nat ).

tff(func_def_92,type,
    aTP_Lamm_dn: fun_na4138050610385705875at_nat ).

tff(func_def_93,type,
    aTP_Lamm_do: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_94,type,
    aTP_Lamm_dp: fun_na5914473681949881652_nat_o ).

tff(func_def_95,type,
    aTP_Lamm_dq: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_96,type,
    aTP_Lamm_dr: fun_na5914473681949881652_nat_o ).

tff(func_def_97,type,
    aTP_Lamm_ds: nat > fun_na4143055713577223196at_nat ).

tff(func_def_98,type,
    aTP_Lamm_dt: fun_na1668100129766719005at_nat ).

tff(func_def_99,type,
    aTP_Lamm_du: nat > fun_na4143055713577223196at_nat ).

tff(func_def_100,type,
    aTP_Lamm_dv: fun_na1668100129766719005at_nat ).

tff(func_def_101,type,
    aTP_Lamm_dw: num > fun_num_int ).

tff(func_def_102,type,
    aTP_Lamm_dx: fun_nat_option_num ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_num_option_num ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_num_option_num ).

tff(func_def_105,type,
    aTP_Lamm_ea: num > fun_nat_option_num ).

tff(func_def_106,type,
    aTP_Lamm_eb: num > fun_nat_option_num ).

tff(func_def_107,type,
    aTP_Lamm_ec: nat > fun_num_option_num ).

tff(func_def_108,type,
    aTP_Lamm_ed: nat > fun_num_option_num ).

tff(func_def_109,type,
    aTP_Lamm_ee: num > fun_nat_option_num ).

tff(func_def_110,type,
    aTP_Lamm_ef: fun_na7595719129879163854on_num ).

tff(func_def_111,type,
    aTP_Lamm_eg: fun_Co8521658056209057742er_num ).

tff(func_def_112,type,
    aTP_Lamm_eh: fun_Pr3238374608701176162_int_o ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_nat_fun_nat_nat ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_nat_fun_nat_nat ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_Pr1308109350235310159nt_int ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_nat_fun_nat_nat ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_nat_nat ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_Pr1308109350235310159nt_int ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_Pr2478283820680522243nt_int ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_na6724076748692969250l_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_na6724076748692969250l_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_re7681423839302404990l_real ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_127,type,
    aTP_Lamm_ew: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_nat_real > fun_real_real ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_132,type,
    aTP_Lamm_fb: real > fun_fu5589980185390252312t_real ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_136,type,
    aTP_Lamm_ff: nat > fun_fu3612569900928539882l_real ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_real_real ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_re4238438383274954274t_real ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_real_real ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_nat_real > fun_nat_real ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_nat_fun_nat_nat ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_nat_real ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_nat_real ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_re4238438383274954274t_real ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_nat_real ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_re4238438383274954274t_real ).

tff(func_def_149,type,
    aTP_Lamm_fs: real > fun_re4238438383274954274t_real ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_re4238438383274954274t_real ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_re4238438383274954274t_real ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_re4238438383274954274t_real ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_re4238438383274954274t_real ).

tff(func_def_154,type,
    aTP_Lamm_fx: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_nat_real > fun_nat_real ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_nat_real > fun_nat_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_real > fun_nat_real ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_re7681423839302404990l_real ).

tff(func_def_160,type,
    aTP_Lamm_gd: nat > fun_fu3077872570260440615l_real ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_real_real ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_real_real > fun_nat_real ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_na6724076748692969250l_real ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_re7681423839302404990l_real ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_real_real > fun_real_o ).

tff(func_def_166,type,
    aTP_Lamm_gj: fun_real_real > fun_fu3022329567491847689real_o ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_nat_o > fun_nat_o ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_real_o > fun_real_fun_real_o ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_real_real > fun_real_real ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_real_real > fun_real_real ).

tff(func_def_174,type,
    aTP_Lamm_gr: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_175,type,
    aTP_Lamm_gs: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_176,type,
    aTP_Lamm_gt: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_177,type,
    aTP_Lamm_gu: nat > fun_na8563630686737515764_nat_o ).

tff(func_def_178,type,
    aTP_Lamm_gv: nat > fun_nat_fun_nat_o ).

tff(func_def_179,type,
    aTP_Lamm_gw: nat > fun_nat_fun_nat_o ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_nat_set_nat ).

tff(func_def_181,type,
    aTP_Lamm_gy: rat > fun_Pr3238374608701176162_int_o ).

tff(func_def_182,type,
    aTP_Lamm_gz: int > fun_int_fun_int_o ).

tff(func_def_183,type,
    aTP_Lamm_ha: fun_num_fun_num_int ).

tff(func_def_184,type,
    aTP_Lamm_hb: fun_int_int ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_in1696471567231710611nt_int ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_na1476630412504255114at_nat ).

tff(func_def_187,type,
    aTP_Lamm_he: nat > fun_nat_set_nat ).

tff(func_def_188,type,
    aTP_Lamm_hf: nat > fun_nat_set_nat ).

tff(func_def_189,type,
    aTP_Lamm_hg: nat > fun_nat_set_nat ).

tff(func_def_190,type,
    aTP_Lamm_hh: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_na5914473681949881652_nat_o ).

tff(func_def_192,type,
    aTP_Lamm_hj: nat > fun_nat_fun_nat_o ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_real_o ).

tff(func_def_194,type,
    aTP_Lamm_hl: int > fun_in5570076352459579423_int_o ).

tff(func_def_195,type,
    aTP_Lamm_hm: rat > fun_int_fun_int_o ).

tff(func_def_196,type,
    aTP_Lamm_hn: int > fun_in5570076352459579423_int_o ).

tff(func_def_197,type,
    aTP_Lamm_ho: rat > fun_int_fun_int_o ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_real_o ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_int_fun_int_int ).

tff(func_def_200,type,
    aTP_Lamm_hr: int > fun_int_fun_int_o ).

tff(func_def_201,type,
    aTP_Lamm_hs: int > fun_int_fun_int_o ).

tff(func_def_202,type,
    aTP_Lamm_ht: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_203,type,
    aTP_Lamm_hu: fun_fun_nat_rat_o ).

tff(func_def_204,type,
    aTP_Lamm_hv: fun_nat_rat ).

tff(func_def_205,type,
    aTP_Lamm_hw: fun_nat_rat ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_fu6579618355643354601at_rat ).

tff(func_def_207,type,
    aTP_Lamm_hy: fun_fu6579618355643354601at_rat ).

tff(func_def_208,type,
    aTP_Lamm_hz: fun_fu8328862064278946247at_rat ).

tff(func_def_209,type,
    aTP_Lamm_ia: fun_nat_rat > fun_nat_rat ).

tff(func_def_210,type,
    aTP_Lamm_ib: fun_fu8328862064278946247at_rat ).

tff(func_def_211,type,
    aTP_Lamm_ic: rat > fun_nat_rat ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_213,type,
    aTP_Lamm_ie: int > fun_nat_rat ).

tff(func_def_214,type,
    aTP_Lamm_if: nat > fun_nat_rat ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_na819858167508000762st_nat ).

tff(func_def_218,type,
    aTP_Lamm_ij: real > fun_re8658731967611918585t_real ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_re7681423839302404990l_real ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_re7681423839302404990l_real ).

tff(func_def_221,type,
    aTP_Lamm_im: nat > fun_na8797796813480665199d_enat ).

tff(func_def_222,type,
    aTP_Lamm_in: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_223,type,
    aTP_Lamm_io: nat > fun_na8797796813480665199d_enat ).

tff(func_def_224,type,
    aTP_Lamm_ip: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_225,type,
    aTP_Lamm_iq: nat > fun_na8797796813480665199d_enat ).

tff(func_def_226,type,
    aTP_Lamm_ir: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_227,type,
    aTP_Lamm_is: fun_na8797796813480665199d_enat ).

tff(func_def_228,type,
    aTP_Lamm_it: fun_real_real ).

tff(func_def_229,type,
    aTP_Lamm_iu: set_nat > fun_nat_o ).

tff(func_def_230,type,
    aTP_Lamm_iv: set_real > fun_real_o ).

tff(func_def_231,type,
    aTP_Lamm_iw: code_natural > fun_Co9168753396221475450atural ).

tff(func_def_232,type,
    aTP_Lamm_ix: produc7822875418678951345atural > fun_Co1890133979025130057atural ).

tff(func_def_233,type,
    aTP_Lamm_iy: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_Co1105491363547889651atural ).

tff(func_def_235,type,
    aTP_Lamm_ja: code_natural > fun_Co1105491363547889651atural ).

tff(func_def_236,type,
    aTP_Lamm_jb: fun_nat_nat ).

tff(func_def_237,type,
    aTP_Lamm_jc: fun_nat_int ).

tff(func_def_238,type,
    archim2889992004027027881ng_rat: rat > int ).

tff(func_def_239,type,
    archim7802044766580827645g_real: real > int ).

tff(func_def_240,type,
    archim3151403230148437115or_rat: rat > int ).

tff(func_def_241,type,
    archim6058952711729229775r_real: real > int ).

tff(func_def_242,type,
    archimedean_frac_rat: rat > rat ).

tff(func_def_243,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_244,type,
    archim7778729529865785530nd_rat: rat > int ).

tff(func_def_245,type,
    archim8280529875227126926d_real: real > int ).

tff(func_def_246,type,
    bNF_re3379532845092657523nteger: ( fun_in4891666191172872833eger_o * fun_in4891666191172872833eger_o ) > fun_fu726873822431485118eger_o ).

tff(func_def_247,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_o * fun_int_fun_int_o ) > fun_fu4208408993564413984_int_o ).

tff(func_def_248,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu6699046866436802030_int_o ).

tff(func_def_249,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_o * fun_Pr7537129237977221859_rat_o ) > fun_fu7677565902479959693_rat_o ).

tff(func_def_250,type,
    bNF_re3704215830270325841atural: ( fun_na2240068485812228818ural_o * fun_na2240068485812228818ural_o ) > fun_fu2034268335391280352ural_o ).

tff(func_def_251,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_fu9201817095025044880_nat_o ).

tff(func_def_252,type,
    bNF_re6501075790457514782nteger: ( fun_num_fun_num_o * fun_in4891666191172872833eger_o ) > fun_fu6196024946523381971eger_o ).

tff(func_def_253,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_o * fun_int_fun_int_o ) > fun_fu5908277796454533188_int_o ).

tff(func_def_254,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu5323616038969315652_int_o ).

tff(func_def_255,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr7537129237977221859_rat_o * fun_Pr7537129237977221859_rat_o ) > fun_fu4306744791715064858_rat_o ).

tff(func_def_256,type,
    bNF_re6644619430987730960nt_o_o: ( fun_Pr4738963024209204295_int_o * fun_o_fun_o_o ) > fun_fu9090758901314268781nt_o_o ).

tff(func_def_257,type,
    bNF_re7400052026677387805at_int: ( fun_Pr4738963024209204295_int_o * fun_Pr4738963024209204295_int_o ) > fun_fu4638078822479986034_int_o ).

tff(func_def_258,type,
    bNF_re3666534408544137501at_o_o: ( fun_Pr2028404973800837934_nat_o * fun_o_fun_o_o ) > fun_fu9045186299510176150at_o_o ).

tff(func_def_259,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > fun_fu3373238862511017284_nat_o ).

tff(func_def_260,type,
    bNF_re3218747500659316912al_o_o: ( fun_fu1771228864347509049real_o * fun_o_fun_o_o ) > fun_fu7981297689148232565al_o_o ).

tff(func_def_261,type,
    bNF_re237660433471117187t_real: ( fun_fu1771228864347509049real_o * fun_fu1771228864347509049real_o ) > fun_fu6910828598506988974real_o ).

tff(func_def_262,type,
    bNF_re9178625837396562677at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu6714665071556184448_rat_o ) > fun_fu1950632212952468284_rat_o ).

tff(func_def_263,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_264,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_265,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_266,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_267,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_268,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_269,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_270,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_271,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_272,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_273,type,
    bit_or_not_num_neg: ( num * num ) > num ).

tff(func_def_274,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_275,type,
    bit_ri7632146776885996613nteger: fun_Co8499238673658658103nteger ).

tff(func_def_276,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_277,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_278,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_279,type,
    bit_se3949692690581998587nteger: fun_Co1981900195452921617nteger ).

tff(func_def_280,type,
    bit_se2773287842338716102atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_281,type,
    bit_se725231765392027082nd_int: fun_int_fun_int_int ).

tff(func_def_282,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_283,type,
    bit_se3928097537394005634nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_284,type,
    bit_se2751692689150723149atural: ( nat * code_natural ) > code_natural ).

tff(func_def_285,type,
    bit_se8568078237143864401it_int: ( nat * int ) > int ).

tff(func_def_286,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_287,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_288,type,
    bit_se168947363167071951atural: ( nat * code_natural ) > code_natural ).

tff(func_def_289,type,
    bit_se2159334234014336723it_int: ( nat * int ) > int ).

tff(func_def_290,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_291,type,
    bit_se2119862282449309892nteger: nat > code_integer ).

tff(func_def_292,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_293,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_294,type,
    bit_se1080825931792720795nteger: fun_Co1981900195452921617nteger ).

tff(func_def_295,type,
    bit_se9127793120404214118atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_296,type,
    bit_se1409905431419307370or_int: fun_int_fun_int_int ).

tff(func_def_297,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_298,type,
    bit_se7788150548672797655nteger: fun_na7078387940644931716nteger ).

tff(func_def_299,type,
    bit_se6611745700429515170atural: fun_na607345901702507418atural ).

tff(func_def_300,type,
    bit_se545348938243370406it_int: fun_nat_fun_int_int ).

tff(func_def_301,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_302,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_303,type,
    bit_se1617098188084679374atural: ( nat * code_natural ) > code_natural ).

tff(func_def_304,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_305,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_306,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_307,type,
    bit_se569199155075624693atural: ( nat * code_natural ) > code_natural ).

tff(func_def_308,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_309,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_310,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_311,type,
    bit_se7083795435491715335atural: ( nat * code_natural ) > code_natural ).

tff(func_def_312,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_313,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_314,type,
    bit_se3222712562003087583nteger: fun_Co1981900195452921617nteger ).

tff(func_def_315,type,
    bit_se2046307713759805098atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_316,type,
    bit_se6526347334894502574or_int: fun_int_fun_int_int ).

tff(func_def_317,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_318,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_o ).

tff(func_def_319,type,
    bit_se8040316288895769887atural: code_natural > fun_nat_o ).

tff(func_def_320,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_321,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_322,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_323,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_324,type,
    bit_un5425074673868309765um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_325,type,
    bit_un2785000775030745342or_num: fun_num_fun_num_num ).

tff(func_def_326,type,
    bit_un6909899581280750971um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_327,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_328,type,
    bit_un3595099601533988841um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_329,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_330,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_331,type,
    bit_un6697907153464112080or_num: fun_num_fun_num_num ).

tff(func_def_332,type,
    bit_un4773296044027857193um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_333,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_334,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_335,type,
    code_Neg: num > code_integer ).

tff(func_def_336,type,
    code_Pos: num > code_integer ).

tff(func_def_337,type,
    code_Suc: fun_Co7398788559141407565atural ).

tff(func_def_338,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_339,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_340,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_341,type,
    code_dup: fun_Co8499238673658658103nteger ).

tff(func_def_342,type,
    code_int_of_integer: fun_Code_integer_int ).

tff(func_def_343,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_344,type,
    code_integer_of_nat: fun_nat_Code_integer ).

tff(func_def_345,type,
    code_i5400310926305786745atural: fun_Co2940338738630218498nteger ).

tff(func_def_346,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_347,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_348,type,
    code_nat_of_natural: fun_Code_natural_nat ).

tff(func_def_349,type,
    code_natural_of_nat: fun_nat_Code_natural ).

tff(func_def_350,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_351,type,
    code_pcr_integer: fun_in4891666191172872833eger_o ).

tff(func_def_352,type,
    code_pcr_natural: fun_na2240068485812228818ural_o ).

tff(func_def_353,type,
    code_sub: fun_nu2537414170016844299nteger ).

tff(func_def_354,type,
    code_Target_negative: fun_num_int ).

tff(func_def_355,type,
    code_Target_positive: fun_num_int ).

tff(func_def_356,type,
    code_T6385005292777649522of_nat: fun_nat_int ).

tff(func_def_357,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_358,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_359,type,
    complete_Sup_Sup_nat: set_nat > nat ).

tff(func_def_360,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_361,type,
    arg: complex > real ).

tff(func_def_362,type,
    cis: real > complex ).

tff(func_def_363,type,
    cnj: complex > complex ).

tff(func_def_364,type,
    complex2: ( real * real ) > complex ).

tff(func_def_365,type,
    im: complex > real ).

tff(func_def_366,type,
    re: complex > real ).

tff(func_def_367,type,
    csqrt: complex > complex ).

tff(func_def_368,type,
    imaginary_unit: complex ).

tff(func_def_369,type,
    rcis: ( real * real ) > complex ).

tff(func_def_370,type,
    nth_item_rel: fun_nat_fun_nat_o ).

tff(func_def_371,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_372,type,
    adjust_mod: ( int * int ) > int ).

tff(func_def_373,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_374,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_375,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_376,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_377,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_378,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_379,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_380,type,
    euclid4777050414544973029ze_nat: fun_nat_nat ).

tff(func_def_381,type,
    euclid3395696857347342551nt_int: int > int ).

tff(func_def_382,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_383,type,
    extended_eSuc: extended_enat > extended_enat ).

tff(func_def_384,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_385,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat * extended_enat ) > extended_enat ).

tff(func_def_386,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_387,type,
    comm_s8582702949713902594nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_388,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_389,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_390,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_391,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_392,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_393,type,
    semiri3624122377584611663nteger: nat > code_integer ).

tff(func_def_394,type,
    semiri2447717529341329178atural: nat > code_natural ).

tff(func_def_395,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_396,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_397,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_398,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_399,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_400,type,
    invers8013647133539491842omplex: complex > complex ).

tff(func_def_401,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_402,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_403,type,
    at_bot_real: filter_real ).

tff(func_def_404,type,
    at_top_int: filter_int ).

tff(func_def_405,type,
    at_top_nat: filter_nat ).

tff(func_def_406,type,
    at_top_real: filter_real ).

tff(func_def_407,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_408,type,
    finite_card_o: set_o > nat ).

tff(func_def_409,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_410,type,
    finite_card_int: set_int > nat ).

tff(func_def_411,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_412,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_413,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_414,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_415,type,
    finite_card_char: set_char > nat ).

tff(func_def_416,type,
    finite_finite_nat: fun_set_nat_o ).

tff(func_def_417,type,
    bij_betw_int_nat: ( fun_int_nat * set_int ) > fun_set_nat_o ).

tff(func_def_418,type,
    bij_be8532844293280997160at_nat: ( fun_list_nat_nat * set_list_nat ) > fun_set_nat_o ).

tff(func_def_419,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_o ).

tff(func_def_420,type,
    bij_be5333170631980326235at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > fun_set_nat_o ).

tff(func_def_421,type,
    bij_be5432664580149595207at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > fun_set_nat_o ).

tff(func_def_422,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_423,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_424,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_425,type,
    comp_nat_nat_nat: ( fun_nat_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_426,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_427,type,
    id_o: fun_o_o ).

tff(func_def_428,type,
    id_nat: fun_nat_nat ).

tff(func_def_429,type,
    inj_on_nat_int: fun_nat_int > fun_set_nat_o ).

tff(func_def_430,type,
    inj_on_nat_list_nat: fun_nat_list_nat > fun_set_nat_o ).

tff(func_def_431,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_432,type,
    inj_on5538052773655684606at_nat: fun_na1476630412504255114at_nat > fun_set_nat_o ).

tff(func_def_433,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_o ).

tff(func_def_434,type,
    inj_on5701776251185195458at_nat: fun_na3635074868517587788at_nat > fun_set_nat_o ).

tff(func_def_435,type,
    map_fu2599414010547811884nteger: ( fun_Code_integer_int * fun_int_Code_integer ) > fun_fu6921880696561781257nteger ).

tff(func_def_436,type,
    map_fu1034890151506530863nteger: ( fun_Code_integer_int * fun_fu6921880696561781257nteger * fun_int_fun_int_int ) > fun_Co1981900195452921617nteger ).

tff(func_def_437,type,
    map_fu2787874002554666395nteger: ( fun_Code_natural_nat * fun_int_Code_integer * fun_nat_int ) > fun_Co2940338738630218498nteger ).

tff(func_def_438,type,
    map_fu1239815594074539274atural: ( fun_Code_natural_nat * fun_nat_Code_natural ) > fun_fu6924846375782198887atural ).

tff(func_def_439,type,
    map_fu7613509917203888380atural: ( fun_Code_natural_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_Co6813818151677833714atural ).

tff(func_def_440,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_441,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_442,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_443,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_444,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_445,type,
    map_fu6290471996055670595nteger: ( fun_nat_nat * fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).

tff(func_def_446,type,
    map_fu214667362969451334nteger: ( fun_nat_nat * fun_fu6921880696561781257nteger * fun_nat_fun_int_int ) > fun_na7078387940644931716nteger ).

tff(func_def_447,type,
    map_fu5588224966615042724atural: ( fun_nat_nat * fun_fu6924846375782198887atural * fun_nat_fun_nat_nat ) > fun_na607345901702507418atural ).

tff(func_def_448,type,
    map_fu898904425404107465nt_o_o: ( fun_ra4503298312962071866nt_int * fun_o_o * fun_Pr3238374608701176162_int_o ) > fun_rat_o ).

tff(func_def_449,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat ) > fun_fu1098312133097393581at_rat ).

tff(func_def_450,type,
    map_fu5968964422797239547at_rat: ( fun_ra4503298312962071866nt_int * fun_fu1098312133097393581at_rat * fun_Pr1308109350235310159nt_int ) > fun_rat_fun_rat_rat ).

tff(func_def_451,type,
    map_fu6719675619867407465at_o_o: ( fun_real_fun_nat_rat * fun_o_o * fun_fun_nat_rat_o ) > fun_real_o ).

tff(func_def_452,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_453,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_454,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_455,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_456,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_457,type,
    gcd_Lcm_int: set_int > int ).

tff(func_def_458,type,
    gcd_Lcm_nat: set_nat > nat ).

tff(func_def_459,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_460,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_461,type,
    gcd_gcd_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_462,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_463,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_464,type,
    gcd_lcm_Code_integer: fun_Co1981900195452921617nteger ).

tff(func_def_465,type,
    gcd_lcm_int: fun_int_fun_int_int ).

tff(func_def_466,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_467,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_468,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_469,type,
    abs_abs_complex: complex > complex ).

tff(func_def_470,type,
    abs_abs_int: fun_int_int ).

tff(func_def_471,type,
    abs_abs_rat: rat > rat ).

tff(func_def_472,type,
    abs_abs_real: fun_real_real ).

tff(func_def_473,type,
    comm_monoid_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_474,type,
    minus_8373710615458151222nteger: fun_Co1981900195452921617nteger ).

tff(func_def_475,type,
    minus_7197305767214868737atural: fun_Co6813818151677833714atural ).

tff(func_def_476,type,
    minus_minus_complex: ( complex * complex ) > complex ).

tff(func_def_477,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_478,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_479,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_480,type,
    minus_minus_rat: ( rat * rat ) > rat ).

tff(func_def_481,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_482,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_483,type,
    monoid_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_484,type,
    one_one_Code_integer: code_integer ).

tff(func_def_485,type,
    one_one_Code_natural: code_natural ).

tff(func_def_486,type,
    one_one_complex: complex ).

tff(func_def_487,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_488,type,
    one_one_int: int ).

tff(func_def_489,type,
    one_one_nat: nat ).

tff(func_def_490,type,
    one_one_rat: rat ).

tff(func_def_491,type,
    one_one_real: real ).

tff(func_def_492,type,
    plus_p5714425477246183910nteger: fun_Co1981900195452921617nteger ).

tff(func_def_493,type,
    plus_p4538020629002901425atural: fun_Co6813818151677833714atural ).

tff(func_def_494,type,
    plus_plus_complex: ( complex * complex ) > complex ).

tff(func_def_495,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_496,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_497,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_498,type,
    plus_plus_num: ( num * num ) > num ).

tff(func_def_499,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_500,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_501,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_502,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_503,type,
    sgn_sgn_complex: complex > complex ).

tff(func_def_504,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_505,type,
    sgn_sgn_rat: rat > rat ).

tff(func_def_506,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_507,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_508,type,
    times_2397367101498566445atural: fun_Co6813818151677833714atural ).

tff(func_def_509,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_510,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_511,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_512,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_513,type,
    times_times_num: ( num * num ) > num ).

tff(func_def_514,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_515,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_516,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_517,type,
    uminus1482373934393186551omplex: complex > complex ).

tff(func_def_518,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_519,type,
    uminus_uminus_rat: rat > rat ).

tff(func_def_520,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_521,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_522,type,
    zero_z2226904508553997617atural: code_natural ).

tff(func_def_523,type,
    zero_zero_complex: complex ).

tff(func_def_524,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_525,type,
    zero_zero_int: int ).

tff(func_def_526,type,
    zero_zero_nat: nat ).

tff(func_def_527,type,
    zero_zero_rat: rat ).

tff(func_def_528,type,
    zero_zero_real: real ).

tff(func_def_529,type,
    zero_zero_literal: literal ).

tff(func_def_530,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_531,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_532,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_533,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_534,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_535,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_536,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_537,type,
    groups3417619833198082522nteger: ( fun_o_Code_integer * code_integer * list_o ) > code_integer ).

tff(func_def_538,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_539,type,
    groups9119017779487936845_o_nat: ( fun_o_nat * nat * list_o ) > nat ).

tff(func_def_540,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_541,type,
    the_int: fun_int_o > int ).

tff(func_def_542,type,
    the_Pr4378521158711661632nt_int: fun_Pr3238374608701176162_int_o > product_prod_int_int ).

tff(func_def_543,type,
    the_real: fun_real_o > real ).

tff(func_def_544,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_545,type,
    neg: num > int ).

tff(func_def_546,type,
    pos: fun_num_int ).

tff(func_def_547,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_548,type,
    cr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_549,type,
    dup: int > int ).

tff(func_def_550,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_551,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_552,type,
    intrel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_553,type,
    nat2: fun_int_nat ).

tff(func_def_554,type,
    pcr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_555,type,
    power_int_real: ( real * int ) > real ).

tff(func_def_556,type,
    ring_11222124179247155820nteger: set_Code_integer ).

tff(func_def_557,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_558,type,
    ring_1_Ints_int: set_int ).

tff(func_def_559,type,
    ring_1_Ints_rat: set_rat ).

tff(func_def_560,type,
    ring_1_Ints_real: set_real ).

tff(func_def_561,type,
    ring_18347121197199848620nteger: int > code_integer ).

tff(func_def_562,type,
    ring_17405671764205052669omplex: int > complex ).

tff(func_def_563,type,
    ring_1_of_int_int: int > int ).

tff(func_def_564,type,
    ring_1_of_int_rat: int > rat ).

tff(func_def_565,type,
    ring_1_of_int_real: int > real ).

tff(func_def_566,type,
    sub: ( num * num ) > int ).

tff(func_def_567,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_568,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_569,type,
    semila9081495762789891438tr_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_570,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_571,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_572,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_573,type,
    sup_su6327502436637775413at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_574,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_575,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_576,type,
    lattic7826324295020591184_F_nat: ( fun_nat_fun_nat_nat * nat * set_nat ) > nat ).

tff(func_def_577,type,
    at_infinity_real: filter_real ).

tff(func_def_578,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_579,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_580,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_581,type,
    fold_int_int: ( fun_int_fun_int_int * list_int * int ) > int ).

tff(func_def_582,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_583,type,
    last_nat: list_nat > nat ).

tff(func_def_584,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_585,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_586,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_587,type,
    nil_int: list_int ).

tff(func_def_588,type,
    nil_nat: list_nat ).

tff(func_def_589,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_590,type,
    set_o2: list_o > set_o ).

tff(func_def_591,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_592,type,
    set_int2: list_int > set_int ).

tff(func_def_593,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_594,type,
    set_real2: list_real > set_real ).

tff(func_def_595,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_596,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_597,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_598,type,
    tl_nat: list_nat > list_nat ).

tff(func_def_599,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_600,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_601,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_602,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_603,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_604,type,
    nth_set_nat: list_set_nat > fun_nat_set_nat ).

tff(func_def_605,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_606,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_607,type,
    rotate1_o: list_o > list_o ).

tff(func_def_608,type,
    rotate1_int: list_int > list_int ).

tff(func_def_609,type,
    rotate1_nat: list_nat > list_nat ).

tff(func_def_610,type,
    rotate1_VEBT_VEBT: list_VEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_611,type,
    subseqs_o: list_o > list_list_o ).

tff(func_def_612,type,
    subseqs_int: list_int > list_list_int ).

tff(func_def_613,type,
    subseqs_nat: list_nat > list_list_nat ).

tff(func_def_614,type,
    subseqs_VEBT_VEBT: list_VEBT_VEBT > list_list_VEBT_VEBT ).

tff(func_def_615,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_616,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_617,type,
    upto: ( int * int ) > list_int ).

tff(func_def_618,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_619,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_620,type,
    suc: fun_nat_nat ).

tff(func_def_621,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_622,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_623,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_624,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_625,type,
    pred: fun_nat_nat ).

tff(func_def_626,type,
    semiri3842193898606819883omplex: set_complex ).

tff(func_def_627,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_628,type,
    semiri4939895301339042750nteger: nat > code_integer ).

tff(func_def_629,type,
    semiri3763490453095760265atural: nat > code_natural ).

tff(func_def_630,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_631,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_632,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_633,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_634,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_635,type,
    size_size_list_o: list_o > nat ).

tff(func_def_636,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_637,type,
    size_size_list_int: list_int > nat ).

tff(func_def_638,type,
    size_s2710708370519433104list_o: list_list_o > nat ).

tff(func_def_639,type,
    size_s533118279054570080st_int: list_list_int > nat ).

tff(func_def_640,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_641,type,
    size_s8217280938318005548T_VEBT: list_list_VEBT_VEBT > nat ).

tff(func_def_642,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_643,type,
    size_size_list_real: list_real > nat ).

tff(func_def_644,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_645,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_646,type,
    size_size_num: num > nat ).

tff(func_def_647,type,
    size_size_char: char > nat ).

tff(func_def_648,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_649,type,
    nat_int_decode: fun_nat_int ).

tff(func_def_650,type,
    nat_int_encode: fun_int_nat ).

tff(func_def_651,type,
    nat_list_decode: fun_nat_list_nat ).

tff(func_def_652,type,
    nat_list_decode_rel: fun_nat_fun_nat_o ).

tff(func_def_653,type,
    nat_list_encode: fun_list_nat_nat ).

tff(func_def_654,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_655,type,
    nat_prod_decode: fun_na1476630412504255114at_nat ).

tff(func_def_656,type,
    nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).

tff(func_def_657,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_658,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_659,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_660,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_661,type,
    nat_sum_decode: fun_na3635074868517587788at_nat ).

tff(func_def_662,type,
    nat_sum_encode: fun_Su884838341992399436at_nat ).

tff(func_def_663,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_664,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_665,type,
    sqrt: fun_real_real ).

tff(func_def_666,type,
    bitM: num > num ).

tff(func_def_667,type,
    inc: num > num ).

tff(func_def_668,type,
    nat_of_num: fun_num_nat ).

tff(func_def_669,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_670,type,
    neg_nu7009210354673126013omplex: complex > complex ).

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

tff(func_def_672,type,
    neg_numeral_dbl_rat: rat > rat ).

tff(func_def_673,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_674,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_675,type,
    neg_nu6511756317524482435omplex: complex > complex ).

tff(func_def_676,type,
    neg_nu3811975205180677377ec_int: int > int ).

tff(func_def_677,type,
    neg_nu3179335615603231917ec_rat: rat > rat ).

tff(func_def_678,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_679,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_680,type,
    neg_nu8557863876264182079omplex: complex > complex ).

tff(func_def_681,type,
    neg_nu5851722552734809277nc_int: int > int ).

tff(func_def_682,type,
    neg_nu5219082963157363817nc_rat: rat > rat ).

tff(func_def_683,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_684,type,
    neg_nu5755505904847501662nteger: ( num * num ) > code_integer ).

tff(func_def_685,type,
    neg_nu8416839295433526191omplex: ( num * num ) > complex ).

tff(func_def_686,type,
    neg_numeral_sub_int: ( num * num ) > int ).

tff(func_def_687,type,
    neg_numeral_sub_rat: ( num * num ) > rat ).

tff(func_def_688,type,
    neg_numeral_sub_real: ( num * num ) > real ).

tff(func_def_689,type,
    bit0: fun_num_num ).

tff(func_def_690,type,
    bit1: fun_num_num ).

tff(func_def_691,type,
    one: num ).

tff(func_def_692,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_693,type,
    size_num: num > nat ).

tff(func_def_694,type,
    num_of_nat: fun_nat_num ).

tff(func_def_695,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_696,type,
    numera5444537566228673987atural: num > code_natural ).

tff(func_def_697,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_698,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_699,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_700,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_701,type,
    numeral_numeral_rat: num > rat ).

tff(func_def_702,type,
    numeral_numeral_real: num > real ).

tff(func_def_703,type,
    pow: ( num * num ) > num ).

tff(func_def_704,type,
    pred_numeral: num > nat ).

tff(func_def_705,type,
    sqr: num > num ).

tff(func_def_706,type,
    none_num: option_num ).

tff(func_def_707,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_708,type,
    some_num: num > option_num ).

tff(func_def_709,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_710,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_711,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_712,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_713,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_714,type,
    bot_bot_nat: nat ).

tff(func_def_715,type,
    bot_bot_set_int: set_int ).

tff(func_def_716,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_717,type,
    bot_bot_set_real: set_real ).

tff(func_def_718,type,
    ord_Least_nat: fun_nat_o > nat ).

tff(func_def_719,type,
    ord_Least_real: fun_real_o > real ).

tff(func_def_720,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_721,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_722,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_723,type,
    ord_less_num: num > fun_num_o ).

tff(func_def_724,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_725,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_726,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_727,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_728,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_729,type,
    ord_less_eq_num: num > fun_num_o ).

tff(func_def_730,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_731,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_732,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_733,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_734,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_735,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_736,type,
    ord_max_num: ( num * num ) > num ).

tff(func_def_737,type,
    ord_max_rat: ( rat * rat ) > rat ).

tff(func_def_738,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_739,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_740,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_741,type,
    ordering_top_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_742,type,
    top_top_set_o: set_o ).

tff(func_def_743,type,
    top_top_set_int: set_int ).

tff(func_def_744,type,
    top_top_set_list_nat: set_list_nat ).

tff(func_def_745,type,
    top_top_set_nat: set_nat ).

tff(func_def_746,type,
    top_to4669805908274784177at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_747,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_748,type,
    top_top_set_real: set_real ).

tff(func_def_749,type,
    top_top_set_char: set_char ).

tff(func_def_750,type,
    top_to6661820994512907621at_nat: set_Sum_sum_nat_nat ).

tff(func_def_751,type,
    power_8256067586552552935nteger: ( code_integer * nat ) > code_integer ).

tff(func_def_752,type,
    power_7079662738309270450atural: ( code_natural * nat ) > code_natural ).

tff(func_def_753,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_754,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_755,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_756,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_757,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_758,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_759,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_760,type,
    produc3574140220909816553atural: ( code_natural * code_natural ) > produc7822875418678951345atural ).

tff(func_def_761,type,
    produc6639722614265839536atural: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_762,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_763,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_764,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_765,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_766,type,
    produc4480994950612372183atural: ( produc7822875418678951345atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).

tff(func_def_767,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_768,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_769,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_770,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_771,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_772,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_773,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_774,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_775,type,
    produc8282080750456430313atural: ( fun_Co1890133979025130057atural * produc7822875418678951345atural ) > produc6756470014200349799atural ).

tff(func_def_776,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_777,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_778,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_779,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_780,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_781,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_782,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_783,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_784,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_785,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_786,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_787,type,
    product_fst_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_788,type,
    produc6591912806276919810atural: produc5835291356934675326atural > produc7822875418678951345atural ).

tff(func_def_789,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_790,type,
    product_snd_nat_nat: product_prod_nat_nat > nat ).

tff(func_def_791,type,
    produc5538323210962509403atural: ( fun_Pr7769407664385210434atural * fun_Co1105491363547889651atural ) > fun_Pr7769407664385210434atural ).

tff(func_def_792,type,
    inc_shift: ( code_natural * code_natural ) > code_natural ).

tff(func_def_793,type,
    iterat8892046348760725948atural: ( code_natural * fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_794,type,
    log: ( code_natural * code_natural ) > code_natural ).

tff(func_def_795,type,
    log_rel: fun_Pr3592279944642289454ural_o ).

tff(func_def_796,type,
    minus_shift: ( code_natural * code_natural * code_natural ) > code_natural ).

tff(func_def_797,type,
    next: fun_Pr7769407664385210434atural ).

tff(func_def_798,type,
    range: code_natural > fun_Pr7769407664385210434atural ).

tff(func_def_799,type,
    split_seed: produc7822875418678951345atural > produc6756470014200349799atural ).

tff(func_def_800,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_801,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_802,type,
    frct: product_prod_int_int > rat ).

tff(func_def_803,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_804,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_805,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_806,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_807,type,
    of_int: int > rat ).

tff(func_def_808,type,
    pcr_rat: fun_Pr7537129237977221859_rat_o ).

tff(func_def_809,type,
    positive: fun_rat_o ).

tff(func_def_810,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_811,type,
    ratrel: fun_Pr9018117161326028078_int_o ).

tff(func_def_812,type,
    ratreal: fun_rat_real ).

tff(func_def_813,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_814,type,
    cr_real: fun_fu1771228864347509049real_o ).

tff(func_def_815,type,
    pcr_real: fun_fu1771228864347509049real_o ).

tff(func_def_816,type,
    positive2: fun_real_o ).

tff(func_def_817,type,
    realrel: fun_fu6714665071556184448_rat_o ).

tff(func_def_818,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_819,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_820,type,
    real_V470468836141973256s_real: set_real ).

tff(func_def_821,type,
    real_V3694042436643373181omplex: ( complex * complex ) > real ).

tff(func_def_822,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_823,type,
    real_V1022390504157884413omplex: complex > real ).

tff(func_def_824,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_825,type,
    real_V4546457046886955230omplex: real > complex ).

tff(func_def_826,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_827,type,
    real_V2046097035970521341omplex: ( real * complex ) > complex ).

tff(func_def_828,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_829,type,
    algebr932160517623751201me_int: fun_int_fun_int_o ).

tff(func_def_830,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_o ).

tff(func_def_831,type,
    divide6298287555418463151nteger: fun_Co1981900195452921617nteger ).

tff(func_def_832,type,
    divide5121882707175180666atural: fun_Co6813818151677833714atural ).

tff(func_def_833,type,
    divide1717551699836669952omplex: ( complex * complex ) > complex ).

tff(func_def_834,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_835,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_836,type,
    divide_divide_rat: ( rat * rat ) > rat ).

tff(func_def_837,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_838,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_839,type,
    dvd_dvd_complex: complex > fun_complex_o ).

tff(func_def_840,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_841,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_842,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_843,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_844,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_845,type,
    modulo8411746178871703098atural: ( code_natural * code_natural ) > code_natural ).

tff(func_def_846,type,
    modulo_modulo_int: ( int * int ) > int ).

tff(func_def_847,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_848,type,
    normal571682499473568032ze_int: fun_int_int ).

tff(func_def_849,type,
    normal574172969982618308ze_nat: fun_nat_nat ).

tff(func_def_850,type,
    unit_f2746056213392204926or_int: fun_int_int ).

tff(func_def_851,type,
    unit_f2748546683901255202or_nat: fun_nat_nat ).

tff(func_def_852,type,
    zero_n356916108424825756nteger: fun_o_Code_integer ).

tff(func_def_853,type,
    zero_n8403883297036319079atural: $o > code_natural ).

tff(func_def_854,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_855,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_856,type,
    zero_n2687167440665602831ol_nat: fun_o_nat ).

tff(func_def_857,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_858,type,
    zero_n3304061248610475627l_real: $o > real ).

tff(func_def_859,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_860,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_861,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_862,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_863,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_864,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_865,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_866,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_867,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_868,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_869,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_870,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_871,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_872,type,
    image_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > set_nat ).

tff(func_def_873,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_874,type,
    image_nat_list_nat: ( fun_nat_list_nat * set_nat ) > set_list_nat ).

tff(func_def_875,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_876,type,
    image_5846123807819985514at_nat: ( fun_na1476630412504255114at_nat * set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_877,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_878,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_879,type,
    image_678696785212003926at_nat: ( fun_na3635074868517587788at_nat * set_nat ) > set_Sum_sum_nat_nat ).

tff(func_def_880,type,
    image_2486076414777270412at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > set_nat ).

tff(func_def_881,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_882,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_883,type,
    image_1320371278474632150at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > set_nat ).

tff(func_def_884,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_885,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_886,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_887,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_888,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_889,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_890,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_891,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_892,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_893,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_894,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_895,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_896,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_897,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_898,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_899,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_900,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_901,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_902,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_903,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_904,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_905,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_906,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_907,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_908,type,
    ascii_of: char > char ).

tff(func_def_909,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_910,type,
    size_char: char > nat ).

tff(func_def_911,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_912,type,
    integer_of_char: char > code_integer ).

tff(func_def_913,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_914,type,
    sum_Inl_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_915,type,
    sum_Inr_nat_nat: nat > sum_sum_nat_nat ).

tff(func_def_916,type,
    sum_ca7763040182479039464nt_nat: ( fun_nat_int * fun_nat_int * sum_sum_nat_nat ) > int ).

tff(func_def_917,type,
    sum_ca6763686470577984908at_nat: ( fun_nat_nat * fun_nat_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_918,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_919,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_920,type,
    arccos: fun_real_real ).

tff(func_def_921,type,
    arcosh_real: fun_real_real ).

tff(func_def_922,type,
    arcsin: fun_real_real ).

tff(func_def_923,type,
    arctan: fun_real_real ).

tff(func_def_924,type,
    arsinh_real: fun_real_real ).

tff(func_def_925,type,
    artanh_real: fun_real_real ).

tff(func_def_926,type,
    cos_complex: complex > complex ).

tff(func_def_927,type,
    cos_real: fun_real_real ).

tff(func_def_928,type,
    cos_coeff: fun_nat_real ).

tff(func_def_929,type,
    cosh_complex: complex > complex ).

tff(func_def_930,type,
    cosh_real: fun_real_real ).

tff(func_def_931,type,
    cot_complex: complex > complex ).

tff(func_def_932,type,
    cot_real: fun_real_real ).

tff(func_def_933,type,
    exp_complex: complex > complex ).

tff(func_def_934,type,
    exp_real: fun_real_real ).

tff(func_def_935,type,
    ln_ln_real: fun_real_real ).

tff(func_def_936,type,
    log2: fun_re7681423839302404990l_real ).

tff(func_def_937,type,
    pi: real ).

tff(func_def_938,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_939,type,
    powr_real2: fun_re7681423839302404990l_real ).

tff(func_def_940,type,
    sin_complex: complex > complex ).

tff(func_def_941,type,
    sin_real: fun_real_real ).

tff(func_def_942,type,
    sin_coeff: fun_nat_real ).

tff(func_def_943,type,
    sinh_complex: complex > complex ).

tff(func_def_944,type,
    sinh_real: fun_real_real ).

tff(func_def_945,type,
    tan_complex: complex > complex ).

tff(func_def_946,type,
    tan_real: fun_real_real ).

tff(func_def_947,type,
    tanh_complex: complex > complex ).

tff(func_def_948,type,
    tanh_real: fun_real_real ).

tff(func_def_949,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_950,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_951,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_952,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_953,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_954,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_955,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_956,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_957,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_958,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_959,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_960,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_961,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_962,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_963,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_964,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_965,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_966,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_967,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_968,type,
    aa_o_Code_integer: ( fun_o_Code_integer * $o ) > code_integer ).

tff(func_def_969,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_970,type,
    aa_o_nat: ( fun_o_nat * $o ) > nat ).

tff(func_def_971,type,
    aa_o_fun_o_o: ( fun_o_fun_o_o * $o ) > fun_o_o ).

tff(func_def_972,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_973,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_974,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_975,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_976,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_977,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_978,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_979,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_980,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_981,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_982,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_983,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_984,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_985,type,
    aa_Cod5448446754359732931nteger: ( fun_Co2940338738630218498nteger * code_natural ) > code_integer ).

tff(func_def_986,type,
    aa_Cod4272041906116450446atural: ( fun_Co7398788559141407565atural * code_natural ) > code_natural ).

tff(func_def_987,type,
    aa_Code_natural_nat: ( fun_Code_natural_nat * code_natural ) > nat ).

tff(func_def_988,type,
    aa_Cod6808739660676082561atural: ( fun_Co5709460363461100952atural * code_natural ) > produc6756470014200349799atural ).

tff(func_def_989,type,
    aa_Cod5141017464274028979atural: ( fun_Co6813818151677833714atural * code_natural ) > fun_Co7398788559141407565atural ).

tff(func_def_990,type,
    aa_Cod4292056611156568242atural: ( fun_Co1890133979025130057atural * code_natural ) > fun_Co5709460363461100952atural ).

tff(func_def_991,type,
    aa_Cod8811915439870959971atural: ( fun_Co9168753396221475450atural * code_natural ) > fun_Co1890133979025130057atural ).

tff(func_def_992,type,
    aa_Cod6352003912080677724atural: ( fun_Co1105491363547889651atural * code_natural ) > fun_Pr7769407664385210434atural ).

tff(func_def_993,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_994,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_995,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_996,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_997,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_998,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_999,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1000,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1001,type,
    aa_int5993532643906289898eger_o: ( fun_in4891666191172872833eger_o * int ) > fun_Code_integer_o ).

tff(func_def_1002,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1003,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1004,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1005,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_1006,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_1007,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1008,type,
    aa_list_nat_nat: ( fun_list_nat_nat * list_nat ) > nat ).

tff(func_def_1009,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1010,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1011,type,
    aa_nat_Code_natural: ( fun_nat_Code_natural * nat ) > code_natural ).

tff(func_def_1012,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1013,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1014,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1015,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_1016,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1017,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1018,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1019,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1020,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1021,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1022,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1023,type,
    aa_nat7431386967378518541at_nat: ( fun_na3635074868517587788at_nat * nat ) > sum_sum_nat_nat ).

tff(func_def_1024,type,
    aa_nat6383147911832638789nteger: ( fun_na7078387940644931716nteger * nat ) > fun_Co8499238673658658103nteger ).

tff(func_def_1025,type,
    aa_nat8502700792446211003ural_o: ( fun_na2240068485812228818ural_o * nat ) > fun_Code_natural_o ).

tff(func_def_1026,type,
    aa_nat5282697797315388251atural: ( fun_na607345901702507418atural * nat ) > fun_Co7398788559141407565atural ).

tff(func_def_1027,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1028,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1029,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1030,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1031,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_1032,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1033,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1034,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1035,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1036,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1037,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1038,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1039,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1040,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1041,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1042,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1043,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1044,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1045,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1046,type,
    aa_nat_fun_set_nat_o: ( fun_na8563630686737515764_nat_o * nat ) > fun_set_nat_o ).

tff(func_def_1047,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1048,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1049,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1050,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1051,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1052,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1053,type,
    aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).

tff(func_def_1054,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1055,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1056,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1057,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1058,type,
    aa_Pro7165575656943818355atural: ( fun_Pr7769407664385210434atural * produc7822875418678951345atural ) > produc5835291356934675326atural ).

tff(func_def_1059,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1060,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1061,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1062,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1063,type,
    aa_Pro2298929076809959388_rat_o: ( fun_Pr7537129237977221859_rat_o * product_prod_int_int ) > fun_rat_o ).

tff(func_def_1064,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1065,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1066,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1067,type,
    aa_Pro2912763917461432128_int_o: ( fun_Pr4738963024209204295_int_o * product_prod_nat_nat ) > fun_int_o ).

tff(func_def_1068,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1069,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1070,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1071,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1072,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1073,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1074,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1075,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1076,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1077,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1078,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1079,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1080,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1081,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1082,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1083,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1084,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1085,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1086,type,
    aa_Sum8073061460641146765at_nat: ( fun_Su884838341992399436at_nat * sum_sum_nat_nat ) > nat ).

tff(func_def_1087,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1088,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1089,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1090,type,
    aa_fun8964553180794676938nteger: ( fun_fu6921880696561781257nteger * fun_int_int ) > fun_Co8499238673658658103nteger ).

tff(func_def_1091,type,
    aa_fun6864876441520360999eger_o: ( fun_fu726873822431485118eger_o * fun_int_int ) > fun_fu1769128043447206010eger_o ).

tff(func_def_1092,type,
    aa_fun2545150047610057353_int_o: ( fun_fu4208408993564413984_int_o * fun_int_int ) > fun_fun_int_int_o ).

tff(func_def_1093,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1094,type,
    aa_fun5114738747585492520atural: ( fun_fu6924846375782198887atural * fun_nat_nat ) > fun_Co7398788559141407565atural ).

tff(func_def_1095,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1096,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1097,type,
    aa_fun7534057414028546889ural_o: ( fun_fu2034268335391280352ural_o * fun_nat_nat ) > fun_fu2916398056546941156ural_o ).

tff(func_def_1098,type,
    aa_fun2341495900663639033_nat_o: ( fun_fu9201817095025044880_nat_o * fun_nat_nat ) > fun_fun_nat_nat_o ).

tff(func_def_1099,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1100,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1101,type,
    aa_fun8455130352500885026real_o: ( fun_fu1771228864347509049real_o * fun_nat_rat ) > fun_real_o ).

tff(func_def_1102,type,
    aa_fun6961092367326905321_rat_o: ( fun_fu6714665071556184448_rat_o * fun_nat_rat ) > fun_fun_nat_rat_o ).

tff(func_def_1103,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1104,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1105,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1106,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1107,type,
    aa_fun7041730090766645614at_rat: ( fun_fu1098312133097393581at_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_1108,type,
    aa_fun3734617511155415725_int_o: ( fun_fu5323616038969315652_int_o * fun_Pr2478283820680522243nt_int ) > fun_fu7503566767892366382_int_o ).

tff(func_def_1109,type,
    aa_fun382765352565706371_rat_o: ( fun_fu4306744791715064858_rat_o * fun_Pr2478283820680522243nt_int ) > fun_fun_rat_rat_o ).

tff(func_def_1110,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1111,type,
    aa_fun856177901615811547_int_o: ( fun_fu4638078822479986034_int_o * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_o ).

tff(func_def_1112,type,
    aa_fun6920661532540581549_nat_o: ( fun_fu3373238862511017284_nat_o * fun_Pr2118491707810114563at_nat ) > fun_fu8391177546919232046_nat_o ).

tff(func_def_1113,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1114,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1115,type,
    aa_fun7909102309695209382al_o_o: ( fun_fu7981297689148232565al_o_o * fun_fun_nat_rat_o ) > fun_fun_real_o_o ).

tff(func_def_1116,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1117,type,
    aa_fun1584707981518017559real_o: ( fun_fu6910828598506988974real_o * fun_fu8328862064278946247at_rat ) > fun_fun_real_real_o ).

tff(func_def_1118,type,
    aa_fun9037873928781546661_rat_o: ( fun_fu1950632212952468284_rat_o * fun_fu8328862064278946247at_rat ) > fun_fu4846507671440591850_rat_o ).

tff(func_def_1119,type,
    fequal_o: fun_o_fun_o_o ).

tff(func_def_1120,type,
    fequal_int: fun_int_fun_int_o ).

tff(func_def_1121,type,
    fequal_nat: fun_nat_fun_nat_o ).

tff(func_def_1122,type,
    fequal_num: fun_num_fun_num_o ).

tff(func_def_1123,type,
    fequal_real: fun_real_fun_real_o ).

tff(func_def_1124,type,
    member_nat: nat > fun_set_nat_o ).

tff(func_def_1125,type,
    va: nat ).

tff(func_def_1126,type,
    y: nat ).

tff(func_def_1127,type,
    d0: int ).

tff(func_def_1128,type,
    a1: int ).

tff(func_def_1129,type,
    a2: int ).

tff(func_def_1130,type,
    pos23: nat ).

tff(func_def_1131,type,
    pos24: nat ).

tff(func_def_1132,type,
    pos25: nat ).

tff(func_def_1133,type,
    pos26: nat ).

tff(func_def_1134,type,
    pos27: nat ).

tff(func_def_1135,type,
    pos28: nat ).

tff(func_def_1136,type,
    pos29: nat ).

tff(func_def_1137,type,
    pos210: nat ).

tff(func_def_1138,type,
    pos211: nat ).

tff(func_def_1139,type,
    pos212: nat ).

tff(func_def_1140,type,
    pos213: nat ).

tff(func_def_1141,type,
    pos214: nat ).

tff(func_def_1142,type,
    half15: nat ).

tff(func_def_1143,type,
    half16: nat ).

tff(func_def_1144,type,
    pos217: nat ).

tff(func_def_1145,type,
    pos218: nat ).

tff(func_def_1146,type,
    half19: nat ).

tff(func_def_1147,type,
    half20: nat ).

tff(func_def_1148,type,
    pos221: nat ).

tff(func_def_1149,type,
    pos222: nat ).

tff(func_def_1150,type,
    pos223: nat ).

tff(func_def_1151,type,
    pos224: nat ).

tff(func_def_1152,type,
    pos225: nat ).

tff(func_def_1153,type,
    pos226: nat ).

tff(func_def_1154,type,
    pos227: nat ).

tff(func_def_1155,type,
    half28: nat ).

tff(func_def_1156,type,
    half29: nat ).

tff(func_def_1157,type,
    l30: code_integer ).

tff(func_def_1158,type,
    k31: code_integer ).

tff(func_def_1159,type,
    k32: code_integer ).

tff(func_def_1160,type,
    n33: nat ).

tff(func_def_1161,type,
    m34: nat ).

tff(func_def_1162,type,
    n35: nat ).

tff(func_def_1163,type,
    m36: nat ).

tff(func_def_1164,type,
    n37: nat ).

tff(func_def_1165,type,
    m38: nat ).

tff(func_def_1166,type,
    n39: nat ).

tff(func_def_1167,type,
    m40: nat ).

tff(func_def_1168,type,
    n41: nat ).

tff(func_def_1169,type,
    m42: nat ).

tff(func_def_1170,type,
    n43: nat ).

tff(func_def_1171,type,
    m44: nat ).

tff(func_def_1172,type,
    n45: nat ).

tff(func_def_1173,type,
    m46: nat ).

tff(func_def_1174,type,
    m47: nat ).

tff(func_def_1175,type,
    m48: nat ).

tff(func_def_1176,type,
    v49: code_natural ).

tff(func_def_1177,type,
    w50: code_natural ).

tff(func_def_1178,type,
    l251: int ).

tff(func_def_1179,type,
    l252: num ).

tff(func_def_1180,type,
    l353: num ).

tff(func_def_1181,type,
    l254: nat ).

tff(func_def_1182,type,
    l355: nat ).

tff(func_def_1185,type,
    sK56: ( fun_real_o * fun_real_o ) > real ).

tff(func_def_1186,type,
    sK57: ( fun_list_nat_o * fun_list_nat_o ) > list_nat ).

tff(func_def_1187,type,
    sK58: ( fun_set_nat_o * fun_set_nat_o ) > set_nat ).

tff(func_def_1188,type,
    sK59: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1189,type,
    sK60: ( fun_int_o * fun_int_o ) > int ).

tff(func_def_1190,type,
    sK61: nat > nat ).

tff(func_def_1191,type,
    sK62: nat > nat ).

tff(func_def_1192,type,
    sK63: nat > nat ).

tff(func_def_1193,type,
    sK64: fun_nat_o > nat ).

tff(func_def_1194,type,
    sK65: fun_nat_fun_nat_o > nat ).

tff(func_def_1195,type,
    sK66: fun_nat_fun_nat_o > nat ).

tff(func_def_1196,type,
    sK67: fun_nat_fun_nat_o > nat ).

tff(func_def_1197,type,
    sK68: fun_nat_fun_nat_o > nat ).

tff(func_def_1198,type,
    sK69: fun_nat_o > nat ).

tff(func_def_1199,type,
    sK70: nat > nat ).

tff(func_def_1200,type,
    sK71: fun_nat_o > nat ).

tff(func_def_1201,type,
    sK72: fun_nat_o > nat ).

tff(func_def_1202,type,
    sK73: ( nat * nat * nat ) > nat ).

tff(func_def_1203,type,
    sK74: ( nat * nat * nat ) > nat ).

tff(func_def_1204,type,
    sK75: ( int * int * int ) > int ).

tff(func_def_1205,type,
    sK76: ( int * int * int ) > int ).

tff(func_def_1206,type,
    sK77: ( nat * nat * nat ) > nat ).

tff(func_def_1207,type,
    sK78: ( nat * nat * nat ) > nat ).

tff(func_def_1208,type,
    sK79: ( int * int * int ) > int ).

tff(func_def_1209,type,
    sK80: ( int * int * int ) > int ).

tff(func_def_1210,type,
    sK81: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1211,type,
    sK82: ( nat * nat ) > nat ).

tff(func_def_1212,type,
    sK83: ( int * int ) > int ).

tff(func_def_1213,type,
    sK84: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1214,type,
    sK85: ( real * real ) > real ).

tff(func_def_1215,type,
    sK86: ( rat * rat ) > rat ).

tff(func_def_1216,type,
    sK87: ( nat * nat ) > nat ).

tff(func_def_1217,type,
    sK88: ( int * int ) > int ).

tff(func_def_1218,type,
    sK89: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1219,type,
    sK90: ( real * real ) > real ).

tff(func_def_1220,type,
    sK91: ( rat * rat ) > rat ).

tff(func_def_1221,type,
    sK92: ( nat * nat ) > nat ).

tff(func_def_1222,type,
    sK93: ( int * int ) > int ).

tff(func_def_1223,type,
    sK94: int > nat ).

tff(func_def_1224,type,
    sK95: int > nat ).

tff(func_def_1225,type,
    sK96: ( nat * nat ) > nat ).

tff(func_def_1226,type,
    sK97: ( nat * nat ) > nat ).

tff(func_def_1227,type,
    sK98: ( nat * nat ) > nat ).

tff(func_def_1228,type,
    sK99: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1229,type,
    sK100: ( nat * nat ) > nat ).

tff(func_def_1230,type,
    sK101: ( int * int ) > int ).

tff(func_def_1231,type,
    sK102: code_integer > code_integer ).

tff(func_def_1232,type,
    sK103: nat > nat ).

tff(func_def_1233,type,
    sK104: int > int ).

tff(func_def_1234,type,
    sK105: ( fun_real_o * real ) > real ).

tff(func_def_1235,type,
    sK106: ( fun_real_o * real ) > real ).

tff(func_def_1236,type,
    sK107: ( real * fun_real_o ) > real ).

tff(func_def_1237,type,
    sK108: ( real * fun_real_o ) > real ).

tff(func_def_1238,type,
    sK110: ( fun_rat_o * rat ) > rat ).

tff(func_def_1239,type,
    sK111: ( fun_rat_o * rat ) > rat ).

tff(func_def_1240,type,
    sK112: ( rat * fun_rat_o ) > rat ).

tff(func_def_1241,type,
    sK113: ( rat * fun_rat_o ) > rat ).

tff(func_def_1242,type,
    sK115: ( fun_int_o * int ) > int ).

tff(func_def_1243,type,
    sK116: ( fun_int_o * int ) > int ).

tff(func_def_1244,type,
    sK117: ( int * fun_int_o ) > int ).

tff(func_def_1245,type,
    sK118: ( int * fun_int_o ) > int ).

tff(func_def_1246,type,
    sK120: nat > nat ).

tff(func_def_1247,type,
    sK121: nat > nat ).

tff(func_def_1248,type,
    sK122: fun_nat_fun_nat_o > nat ).

tff(func_def_1249,type,
    sK123: fun_nat_fun_nat_o > nat ).

tff(func_def_1250,type,
    sK124: fun_nat_fun_nat_o > nat ).

tff(func_def_1251,type,
    sK125: fun_nat_fun_nat_o > nat ).

tff(func_def_1252,type,
    sK126: fun_nat_fun_nat_o > nat ).

tff(func_def_1253,type,
    sK127: ( nat * nat * nat ) > nat ).

tff(func_def_1254,type,
    sK128: ( nat * nat * nat ) > nat ).

tff(func_def_1255,type,
    sK129: ( nat * nat ) > nat ).

tff(func_def_1256,type,
    sK130: ( nat * nat ) > nat ).

tff(func_def_1257,type,
    sK131: ( nat * nat ) > nat ).

tff(func_def_1258,type,
    sK132: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1259,type,
    sK133: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_1260,type,
    sK134: ( fun_real_o * real ) > real ).

tff(func_def_1261,type,
    sK135: ( fun_real_o * real ) > real ).

tff(func_def_1262,type,
    sK136: ( fun_rat_o * rat ) > rat ).

tff(func_def_1263,type,
    sK137: ( fun_rat_o * rat ) > rat ).

tff(func_def_1264,type,
    sK138: ( fun_nat_o * nat ) > nat ).

tff(func_def_1265,type,
    sK139: ( fun_nat_o * nat ) > nat ).

tff(func_def_1266,type,
    sK140: ( fun_int_o * int ) > int ).

tff(func_def_1267,type,
    sK141: ( fun_int_o * int ) > int ).

tff(func_def_1268,type,
    sK142: ( nat * nat ) > nat ).

tff(func_def_1269,type,
    sK143: ( nat * nat ) > nat ).

tff(func_def_1270,type,
    sK144: ( nat * nat ) > nat ).

tff(func_def_1271,type,
    sK145: fun_nat_o > nat ).

tff(func_def_1272,type,
    sK146: ( nat * nat ) > nat ).

tff(func_def_1273,type,
    sK147: ( nat * int ) > int ).

tff(func_def_1274,type,
    sK148: ( nat * code_integer ) > code_integer ).

tff(func_def_1275,type,
    sK149: ( nat * code_natural ) > code_natural ).

tff(func_def_1276,type,
    sK150: code_integer > code_integer ).

tff(func_def_1277,type,
    sK151: nat > nat ).

tff(func_def_1278,type,
    sK152: int > int ).

tff(func_def_1279,type,
    sK153: ( fun_real_o * real ) > real ).

tff(func_def_1280,type,
    sK154: ( fun_real_o * real ) > real ).

tff(func_def_1281,type,
    sK155: ( real * fun_real_o ) > real ).

tff(func_def_1282,type,
    sK156: ( real * fun_real_o ) > real ).

tff(func_def_1283,type,
    sK158: ( fun_rat_o * rat ) > rat ).

tff(func_def_1284,type,
    sK159: ( fun_rat_o * rat ) > rat ).

tff(func_def_1285,type,
    sK160: ( rat * fun_rat_o ) > rat ).

tff(func_def_1286,type,
    sK161: ( rat * fun_rat_o ) > rat ).

tff(func_def_1287,type,
    sK163: ( fun_int_o * int ) > int ).

tff(func_def_1288,type,
    sK164: ( fun_int_o * int ) > int ).

tff(func_def_1289,type,
    sK165: ( int * fun_int_o ) > int ).

tff(func_def_1290,type,
    sK166: ( int * fun_int_o ) > int ).

tff(func_def_1291,type,
    sK198: fun_nat_nat > nat ).

tff(func_def_1292,type,
    sK199: fun_nat_nat > nat ).

tff(func_def_1293,type,
    sK200: ( fun_nat_o * nat ) > nat ).

tff(func_def_1294,type,
    sK201: fun_nat_o > nat ).

tff(func_def_1295,type,
    sK202: fun_nat_o > nat ).

tff(func_def_1296,type,
    sK203: fun_nat_o > nat ).

tff(func_def_1297,type,
    sK204: set_real > real ).

tff(func_def_1298,type,
    sK205: ( set_real * real ) > real ).

tff(func_def_1299,type,
    sK206: ( set_real * real ) > real ).

tff(func_def_1300,type,
    sK207: real > real ).

tff(func_def_1301,type,
    sK208: rat > rat ).

tff(func_def_1302,type,
    sK209: real > real ).

tff(func_def_1303,type,
    sK210: rat > rat ).

tff(func_def_1304,type,
    sK211: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_1305,type,
    sK212: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1306,type,
    sK213: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1307,type,
    sK215: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1308,type,
    sK216: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1309,type,
    sK217: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1310,type,
    sK219: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_1311,type,
    sK220: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1312,type,
    sK221: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1313,type,
    sK223: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1314,type,
    sK224: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1315,type,
    sK225: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1316,type,
    sK227: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1317,type,
    sK228: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1318,type,
    sK229: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1319,type,
    sK231: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_1320,type,
    sK232: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1321,type,
    sK233: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1322,type,
    sK235: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1323,type,
    sK236: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1324,type,
    sK237: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1325,type,
    sK239: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_1326,type,
    sK240: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1327,type,
    sK241: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1328,type,
    sK243: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1329,type,
    sK244: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1330,type,
    sK245: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1331,type,
    sK247: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1332,type,
    sK248: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1333,type,
    sK249: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1334,type,
    sK251: real > real ).

tff(func_def_1335,type,
    sK252: rat > rat ).

tff(func_def_1336,type,
    sK253: num > num ).

tff(func_def_1337,type,
    sK254: nat > nat ).

tff(func_def_1338,type,
    sK255: int > int ).

tff(func_def_1339,type,
    sK256: real > real ).

tff(func_def_1340,type,
    sK257: rat > rat ).

tff(func_def_1341,type,
    sK258: num > num ).

tff(func_def_1342,type,
    sK259: nat > nat ).

tff(func_def_1343,type,
    sK260: int > int ).

tff(func_def_1344,type,
    sK261: real > real ).

tff(func_def_1345,type,
    sK262: rat > rat ).

tff(func_def_1346,type,
    sK263: num > num ).

tff(func_def_1347,type,
    sK264: nat > nat ).

tff(func_def_1348,type,
    sK265: int > int ).

tff(func_def_1349,type,
    sK266: real > real ).

tff(func_def_1350,type,
    sK267: rat > rat ).

tff(func_def_1351,type,
    sK268: num > num ).

tff(func_def_1352,type,
    sK269: nat > nat ).

tff(func_def_1353,type,
    sK270: int > int ).

tff(func_def_1354,type,
    sK271: real > real ).

tff(func_def_1355,type,
    sK272: rat > rat ).

tff(func_def_1356,type,
    sK273: num > num ).

tff(func_def_1357,type,
    sK274: nat > nat ).

tff(func_def_1358,type,
    sK275: int > int ).

tff(func_def_1359,type,
    sK276: real > real ).

tff(func_def_1360,type,
    sK277: rat > rat ).

tff(func_def_1361,type,
    sK278: num > num ).

tff(func_def_1362,type,
    sK279: nat > nat ).

tff(func_def_1363,type,
    sK280: int > int ).

tff(func_def_1364,type,
    sK281: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_1365,type,
    sK282: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1366,type,
    sK283: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1367,type,
    sK285: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1368,type,
    sK286: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1369,type,
    sK287: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1370,type,
    sK289: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_1371,type,
    sK290: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1372,type,
    sK291: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1373,type,
    sK293: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1374,type,
    sK294: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1375,type,
    sK295: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1376,type,
    sK297: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1377,type,
    sK298: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1378,type,
    sK299: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1379,type,
    sK301: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_1380,type,
    sK302: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1381,type,
    sK303: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_1382,type,
    sK305: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_1383,type,
    sK306: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1384,type,
    sK307: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_1385,type,
    sK309: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_1386,type,
    sK310: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1387,type,
    sK311: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_1388,type,
    sK313: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_1389,type,
    sK314: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1390,type,
    sK315: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_1391,type,
    sK317: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_1392,type,
    sK318: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1393,type,
    sK319: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1394,type,
    sK321: real > real ).

tff(func_def_1395,type,
    sK322: rat > rat ).

tff(func_def_1396,type,
    sK323: num > num ).

tff(func_def_1397,type,
    sK324: nat > nat ).

tff(func_def_1398,type,
    sK325: int > int ).

tff(func_def_1399,type,
    sK326: real > real ).

tff(func_def_1400,type,
    sK327: rat > rat ).

tff(func_def_1401,type,
    sK328: num > num ).

tff(func_def_1402,type,
    sK329: nat > nat ).

tff(func_def_1403,type,
    sK330: int > int ).

tff(func_def_1404,type,
    sK331: real > real ).

tff(func_def_1405,type,
    sK332: rat > rat ).

tff(func_def_1406,type,
    sK333: num > num ).

tff(func_def_1407,type,
    sK334: nat > nat ).

tff(func_def_1408,type,
    sK335: int > int ).

tff(func_def_1409,type,
    sK336: real > real ).

tff(func_def_1410,type,
    sK337: rat > rat ).

tff(func_def_1411,type,
    sK338: num > num ).

tff(func_def_1412,type,
    sK339: nat > nat ).

tff(func_def_1413,type,
    sK340: int > int ).

tff(func_def_1414,type,
    sK341: real > real ).

tff(func_def_1415,type,
    sK342: rat > rat ).

tff(func_def_1416,type,
    sK343: num > num ).

tff(func_def_1417,type,
    sK344: nat > nat ).

tff(func_def_1418,type,
    sK345: int > int ).

tff(func_def_1419,type,
    sK346: real > real ).

tff(func_def_1420,type,
    sK347: rat > rat ).

tff(func_def_1421,type,
    sK348: num > num ).

tff(func_def_1422,type,
    sK349: nat > nat ).

tff(func_def_1423,type,
    sK350: int > int ).

tff(func_def_1424,type,
    sK351: fun_nat_real > nat ).

tff(func_def_1425,type,
    sK352: fun_nat_rat > nat ).

tff(func_def_1426,type,
    sK353: fun_nat_num > nat ).

tff(func_def_1427,type,
    sK354: fun_nat_nat > nat ).

tff(func_def_1428,type,
    sK355: fun_nat_int > nat ).

tff(func_def_1429,type,
    sK356: fun_nat_real > nat ).

tff(func_def_1430,type,
    sK357: fun_nat_rat > nat ).

tff(func_def_1431,type,
    sK358: fun_nat_num > nat ).

tff(func_def_1432,type,
    sK359: fun_nat_nat > nat ).

tff(func_def_1433,type,
    sK360: fun_nat_int > nat ).

tff(func_def_1434,type,
    sK361: fun_nat_set_nat > nat ).

tff(func_def_1435,type,
    sK362: fun_nat_rat > nat ).

tff(func_def_1436,type,
    sK363: fun_nat_num > nat ).

tff(func_def_1437,type,
    sK364: fun_nat_nat > nat ).

tff(func_def_1438,type,
    sK365: fun_nat_int > nat ).

tff(func_def_1439,type,
    sK366: fun_nat_set_nat > nat ).

tff(func_def_1440,type,
    sK367: fun_nat_rat > nat ).

tff(func_def_1441,type,
    sK368: fun_nat_num > nat ).

tff(func_def_1442,type,
    sK369: fun_nat_nat > nat ).

tff(func_def_1443,type,
    sK370: fun_nat_int > nat ).

tff(func_def_1444,type,
    sK371: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_1445,type,
    sK372: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_1446,type,
    sK373: ( fun_nat_o * nat ) > nat ).

tff(func_def_1447,type,
    sK374: fun_nat_nat > nat ).

tff(func_def_1448,type,
    sK375: fun_nat_nat > nat ).

tff(func_def_1449,type,
    sK376: ( real * real ) > real ).

tff(func_def_1450,type,
    sK377: ( rat * rat ) > rat ).

tff(func_def_1451,type,
    sK378: ( fun_nat_o * nat ) > nat ).

tff(func_def_1452,type,
    sK379: ( nat * real ) > real ).

tff(func_def_1453,type,
    sK380: ( nat * real ) > real ).

tff(func_def_1454,type,
    sK381: ( real * real ) > real ).

tff(func_def_1455,type,
    sK382: ( rat * rat ) > rat ).

tff(func_def_1456,type,
    sK383: ( nat * nat ) > nat ).

tff(func_def_1457,type,
    sK384: ( nat * nat ) > nat ).

tff(func_def_1458,type,
    sK385: real > nat ).

tff(func_def_1459,type,
    sK386: rat > nat ).

tff(func_def_1460,type,
    sK387: ( nat * fun_nat_o ) > nat ).

tff(func_def_1461,type,
    sK388: ( nat * fun_nat_o ) > nat ).

tff(func_def_1462,type,
    sK389: fun_nat_fun_nat_o > nat ).

tff(func_def_1463,type,
    sK390: fun_nat_fun_nat_o > nat ).

tff(func_def_1464,type,
    sK391: fun_nat_fun_nat_o > nat ).

tff(func_def_1465,type,
    sK392: fun_nat_fun_nat_o > nat ).

tff(func_def_1466,type,
    sK393: ( nat * nat ) > nat ).

tff(func_def_1467,type,
    sK394: ( nat * fun_nat_o ) > nat ).

tff(func_def_1468,type,
    sK395: ( nat * fun_nat_o ) > nat ).

tff(func_def_1469,type,
    sK396: ( nat * fun_nat_o ) > nat ).

tff(func_def_1470,type,
    sK397: ( nat * fun_nat_o ) > nat ).

tff(func_def_1471,type,
    sK398: ( nat * nat ) > nat ).

tff(func_def_1472,type,
    sK399: ( nat * nat ) > nat ).

tff(func_def_1473,type,
    sK400: fun_nat_o > nat ).

tff(func_def_1474,type,
    sK401: fun_nat_fun_nat_o > nat ).

tff(func_def_1475,type,
    sK402: fun_nat_fun_nat_o > nat ).

tff(func_def_1476,type,
    sK403: fun_nat_fun_nat_o > nat ).

tff(func_def_1477,type,
    sK404: fun_nat_fun_nat_o > nat ).

tff(func_def_1478,type,
    sK405: fun_nat_fun_nat_o > nat ).

tff(func_def_1479,type,
    sK406: ( nat * fun_nat_o ) > nat ).

tff(func_def_1480,type,
    sK407: fun_nat_o > nat ).

tff(func_def_1481,type,
    sK408: nat > nat ).

tff(func_def_1482,type,
    sK409: real > nat ).

tff(func_def_1483,type,
    sK410: rat > nat ).

tff(func_def_1484,type,
    sK413: ( nat * nat ) > nat ).

tff(func_def_1485,type,
    sK414: ( nat * nat ) > nat ).

tff(func_def_1486,type,
    sK415: ( real * real ) > nat ).

tff(func_def_1487,type,
    sK416: ( real * real ) > nat ).

tff(func_def_1488,type,
    sK417: ( real * real ) > real ).

tff(func_def_1489,type,
    sK418: ( rat * rat ) > rat ).

tff(func_def_1490,type,
    sK419: int > nat ).

tff(func_def_1491,type,
    sK420: int > nat ).

tff(func_def_1492,type,
    sK421: ( int * fun_int_o ) > int ).

tff(func_def_1493,type,
    sK422: ( real * real ) > nat ).

tff(func_def_1494,type,
    sK423: ( int * fun_int_o ) > int ).

tff(func_def_1495,type,
    sK424: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1496,type,
    sK425: ( fun_int_o * int * int ) > int ).

tff(func_def_1497,type,
    sK426: ( fun_int_o * int * int ) > int ).

tff(func_def_1498,type,
    sK427: ( fun_int_o * int * int ) > int ).

tff(func_def_1499,type,
    sK428: ( fun_int_o * int * int ) > int ).

tff(func_def_1500,type,
    sK430: ( nat * nat ) > nat ).

tff(func_def_1501,type,
    sK431: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1502,type,
    sK432: ( real * real ) > real ).

tff(func_def_1503,type,
    sK433: ( rat * rat ) > rat ).

tff(func_def_1504,type,
    sK434: ( nat * nat ) > nat ).

tff(func_def_1505,type,
    sK435: ( int * int ) > int ).

tff(func_def_1506,type,
    sK436: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1507,type,
    sK437: ( real * real ) > real ).

tff(func_def_1508,type,
    sK438: ( rat * rat ) > rat ).

tff(func_def_1509,type,
    sK439: ( nat * nat ) > nat ).

tff(func_def_1510,type,
    sK440: ( int * int ) > int ).

tff(func_def_1511,type,
    sK441: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1512,type,
    sK442: ( real * real ) > real ).

tff(func_def_1513,type,
    sK443: ( rat * rat ) > rat ).

tff(func_def_1514,type,
    sK444: ( nat * nat ) > nat ).

tff(func_def_1515,type,
    sK445: ( int * int ) > int ).

tff(func_def_1516,type,
    sK446: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1517,type,
    sK447: ( real * real ) > real ).

tff(func_def_1518,type,
    sK448: ( rat * rat ) > rat ).

tff(func_def_1519,type,
    sK449: ( nat * nat ) > nat ).

tff(func_def_1520,type,
    sK450: ( int * int ) > int ).

tff(func_def_1521,type,
    sK451: ( nat * fun_nat_o ) > nat ).

tff(func_def_1522,type,
    sK452: ( nat * fun_nat_o ) > nat ).

tff(func_def_1523,type,
    sK453: nat > nat ).

tff(func_def_1524,type,
    sK454: ( nat * fun_nat_o ) > nat ).

tff(func_def_1525,type,
    sK455: ( nat * fun_nat_o ) > nat ).

tff(func_def_1526,type,
    sK456: nat > nat ).

tff(func_def_1527,type,
    sK457: ( nat * nat ) > nat ).

tff(func_def_1528,type,
    sK458: ( nat * nat ) > nat ).

tff(func_def_1529,type,
    sK459: ( nat * nat ) > nat ).

tff(func_def_1530,type,
    sK460: ( nat * nat ) > nat ).

tff(func_def_1531,type,
    sK461: ( nat * nat ) > nat ).

tff(func_def_1532,type,
    sK462: ( real * nat ) > real ).

tff(func_def_1533,type,
    sK463: ( int * fun_int_o ) > int ).

tff(func_def_1534,type,
    sK464: int > nat ).

tff(func_def_1535,type,
    sK465: int > nat ).

tff(func_def_1536,type,
    sK466: ( int * fun_int_o ) > int ).

tff(func_def_1537,type,
    sK467: ( int * fun_int_o ) > int ).

tff(func_def_1538,type,
    sK468: ( real * real ) > nat ).

tff(func_def_1539,type,
    sK469: ( int * int ) > nat ).

tff(func_def_1540,type,
    sK470: ( int * fun_int_o ) > int ).

tff(func_def_1541,type,
    sK471: ( nat * nat ) > nat ).

tff(func_def_1542,type,
    sK472: ( nat * nat ) > nat ).

tff(func_def_1543,type,
    sK473: ( real * real ) > nat ).

tff(func_def_1544,type,
    sK474: ( rat * rat ) > nat ).

tff(func_def_1545,type,
    sK475: fun_nat_o > nat ).

tff(func_def_1546,type,
    sK476: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1547,type,
    sK477: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1548,type,
    sK478: ( int * int ) > nat ).

tff(func_def_1549,type,
    sK479: ( int * fun_int_o ) > int ).

tff(func_def_1550,type,
    sK480: ( int * fun_int_o ) > int ).

tff(func_def_1551,type,
    sK481: fun_int_o > int ).

tff(func_def_1552,type,
    sK482: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1553,type,
    sK483: ( int * fun_int_o ) > int ).

tff(func_def_1554,type,
    sK484: ( int * fun_int_o ) > int ).

tff(func_def_1555,type,
    sK485: fun_int_o > int ).

tff(func_def_1556,type,
    sK486: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1557,type,
    sK487: ( fun_int_o * int ) > int ).

tff(func_def_1558,type,
    sK488: ( fun_int_o * int ) > int ).

tff(func_def_1559,type,
    sK489: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1560,type,
    sK490: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1561,type,
    sK491: real > nat ).

tff(func_def_1562,type,
    sK492: rat > nat ).

tff(func_def_1563,type,
    sK493: fun_nat_o > nat ).

tff(func_def_1564,type,
    sK494: fun_nat_o > nat ).

tff(func_def_1565,type,
    sK496: fun_int_o > int ).

tff(func_def_1566,type,
    sK497: fun_int_o > int ).

tff(func_def_1567,type,
    sK499: fun_Code_integer_o > code_integer ).

tff(func_def_1568,type,
    sK500: fun_Code_integer_o > code_integer ).

tff(func_def_1569,type,
    sK502: fun_nat_o > nat ).

tff(func_def_1570,type,
    sK503: fun_nat_o > nat ).

tff(func_def_1571,type,
    sK504: ( int * int * int ) > int ).

tff(func_def_1572,type,
    sK505: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_1573,type,
    sK506: ( fun_nat_o * nat ) > nat ).

tff(func_def_1574,type,
    sK507: fun_nat_fun_nat_o > nat ).

tff(func_def_1575,type,
    sK508: fun_nat_fun_nat_o > nat ).

tff(func_def_1576,type,
    sK509: fun_nat_fun_nat_o > nat ).

tff(func_def_1577,type,
    sK510: ( nat * nat ) > nat ).

tff(func_def_1578,type,
    sK511: ( int * int ) > int ).

tff(func_def_1579,type,
    sK512: ( int * int ) > int ).

tff(func_def_1580,type,
    sK513: ( nat * nat * nat ) > nat ).

tff(func_def_1581,type,
    sK514: ( nat * nat * nat ) > nat ).

tff(func_def_1582,type,
    sK515: ( nat * nat * nat ) > nat ).

tff(func_def_1583,type,
    sK516: ( nat * nat * nat ) > nat ).

tff(func_def_1584,type,
    sK517: ( nat * nat * nat ) > nat ).

tff(func_def_1585,type,
    sK518: ( fun_int_o * int * int ) > int ).

tff(func_def_1586,type,
    sK519: ( fun_int_o * int * int ) > int ).

tff(func_def_1587,type,
    sK520: ( fun_int_o * int * int ) > int ).

tff(func_def_1588,type,
    sK521: ( fun_int_o * int * int ) > int ).

tff(func_def_1589,type,
    sK523: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1590,type,
    sK524: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_1591,type,
    sK525: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_1592,type,
    sK526: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_1593,type,
    sK527: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_1594,type,
    sK528: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_1595,type,
    sK529: fun_real_fun_real_o > real ).

tff(func_def_1596,type,
    sK530: fun_real_fun_real_o > real ).

tff(func_def_1597,type,
    sK531: fun_real_fun_real_o > real ).

tff(func_def_1598,type,
    sK532: ( real * real * fun_real_fun_real_o ) > real ).

tff(func_def_1599,type,
    sK533: ( real * real * fun_real_fun_real_o * real ) > real ).

tff(func_def_1600,type,
    sK534: ( real * real * fun_real_fun_real_o * real ) > real ).

tff(func_def_1601,type,
    sK535: int > nat ).

tff(func_def_1602,type,
    sK536: int > int ).

tff(func_def_1603,type,
    sK537: ( complex * nat ) > nat ).

tff(func_def_1604,type,
    sK538: ( real * nat ) > nat ).

tff(func_def_1605,type,
    sK539: ( rat * nat ) > nat ).

tff(func_def_1606,type,
    sK540: int > nat ).

tff(func_def_1607,type,
    sK541: int > nat ).

tff(func_def_1608,type,
    sK542: fun_int_o > nat ).

tff(func_def_1609,type,
    sK543: fun_int_o > nat ).

tff(func_def_1610,type,
    sK544: int > nat ).

tff(func_def_1611,type,
    sK545: int > nat ).

tff(func_def_1612,type,
    sK546: real > real ).

tff(func_def_1613,type,
    sK547: rat > rat ).

tff(func_def_1614,type,
    sK548: ( real * real * real ) > real ).

tff(func_def_1615,type,
    sK549: int > nat ).

tff(func_def_1616,type,
    sK550: int > nat ).

tff(func_def_1617,type,
    sK551: int > nat ).

tff(func_def_1618,type,
    sK552: ( real * real * real ) > real ).

tff(func_def_1619,type,
    sK553: int > nat ).

tff(func_def_1620,type,
    sK554: int > nat ).

tff(func_def_1621,type,
    sK555: int > nat ).

tff(func_def_1622,type,
    sK556: int > nat ).

tff(func_def_1623,type,
    sK557: fun_int_o > int ).

tff(func_def_1624,type,
    sK558: fun_int_o > int ).

tff(func_def_1625,type,
    sK559: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_1626,type,
    sK560: fun_real_fun_real_o > real ).

tff(func_def_1627,type,
    sK561: fun_rat_fun_rat_o > rat ).

tff(func_def_1628,type,
    sK562: fun_int_fun_int_o > int ).

tff(func_def_1629,type,
    sK563: num > num ).

tff(func_def_1630,type,
    sK564: num > num ).

tff(func_def_1631,type,
    sK565: ( nat * nat * fun_nat_int ) > nat ).

tff(func_def_1632,type,
    sK566: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_1633,type,
    sK567: ( nat * fun_nat_int ) > nat ).

tff(func_def_1634,type,
    sK568: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_1635,type,
    sK569: ( nat * fun_nat_int ) > nat ).

tff(func_def_1636,type,
    sK570: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_1637,type,
    sK571: fun_num_o > num ).

tff(func_def_1638,type,
    sK572: real > nat ).

tff(func_def_1639,type,
    sK573: real > nat ).

tff(func_def_1640,type,
    sK574: real > nat ).

tff(func_def_1641,type,
    sK575: real > nat ).

tff(func_def_1642,type,
    sK576: real > nat ).

tff(func_def_1643,type,
    sK577: ( real * real ) > real ).

tff(func_def_1644,type,
    sK578: ( real * real ) > real ).

tff(func_def_1645,type,
    sK579: ( real * real ) > real ).

tff(func_def_1646,type,
    sK580: real ).

tff(func_def_1647,type,
    sK581: real > real ).

tff(func_def_1648,type,
    sK582: ( real * real ) > real ).

tff(func_def_1649,type,
    sK583: ( real * real ) > real ).

tff(func_def_1650,type,
    sK584: ( real * real ) > real ).

tff(func_def_1651,type,
    sK585: real > real ).

tff(func_def_1652,type,
    sK586: real > nat ).

tff(func_def_1653,type,
    sK587: real > nat ).

tff(func_def_1654,type,
    sK588: real > nat ).

tff(func_def_1655,type,
    sK589: complex > real ).

tff(func_def_1656,type,
    sK590: real > int ).

tff(func_def_1657,type,
    sK591: rat > int ).

tff(func_def_1658,type,
    sK592: rat > int ).

tff(func_def_1659,type,
    sK593: real > int ).

tff(func_def_1660,type,
    sK594: real > int ).

tff(func_def_1661,type,
    sK595: rat > int ).

tff(func_def_1662,type,
    sK596: real > int ).

tff(func_def_1663,type,
    sK597: rat > int ).

tff(func_def_1664,type,
    sK598: real > int ).

tff(func_def_1665,type,
    sK599: rat > int ).

tff(func_def_1666,type,
    sK600: real > int ).

tff(func_def_1667,type,
    sK601: rat > int ).

tff(func_def_1668,type,
    sK602: real > int ).

tff(func_def_1669,type,
    sK603: rat > int ).

tff(func_def_1670,type,
    sK604: real > int ).

tff(func_def_1671,type,
    sK605: ( fun_int_o * real ) > int ).

tff(func_def_1672,type,
    sK606: ( fun_int_o * rat ) > int ).

tff(func_def_1673,type,
    sK607: ( fun_int_o * real ) > int ).

tff(func_def_1674,type,
    sK608: ( fun_int_o * rat ) > int ).

tff(func_def_1675,type,
    sK609: real > real ).

tff(func_def_1676,type,
    sK610: real > real ).

tff(func_def_1677,type,
    sK611: real > real ).

tff(func_def_1678,type,
    sK612: real > int ).

tff(func_def_1679,type,
    sK613: real > real ).

tff(func_def_1680,type,
    sK614: real > real ).

tff(func_def_1681,type,
    sK615: real > int ).

tff(func_def_1682,type,
    sK616: real > int ).

tff(func_def_1683,type,
    sK617: real > int ).

tff(func_def_1684,type,
    sK618: real > real ).

tff(func_def_1685,type,
    sK619: ( int * int ) > nat ).

tff(func_def_1686,type,
    sK620: ( nat * nat ) > nat ).

tff(func_def_1687,type,
    sK621: fun_nat_o > nat ).

tff(func_def_1688,type,
    sK622: fun_nat_o > int ).

tff(func_def_1689,type,
    sK623: fun_nat_o > nat ).

tff(func_def_1690,type,
    sK624: fun_nat_o > int ).

tff(func_def_1691,type,
    sK625: complex > complex ).

tff(func_def_1692,type,
    sK626: complex > real ).

tff(func_def_1693,type,
    sK627: ( fun_nat_o * int ) > nat ).

tff(func_def_1694,type,
    sK628: code_integer > nat ).

tff(func_def_1695,type,
    sK629: int > nat ).

tff(func_def_1696,type,
    sK630: nat > nat ).

tff(func_def_1697,type,
    sK631: int > nat ).

tff(func_def_1698,type,
    sK632: code_integer > nat ).

tff(func_def_1699,type,
    sK633: int > nat ).

tff(func_def_1700,type,
    sK634: nat > nat ).

tff(func_def_1701,type,
    sK635: real > nat ).

tff(func_def_1702,type,
    sK636: rat > nat ).

tff(func_def_1703,type,
    sK637: fun_real_o > real ).

tff(func_def_1704,type,
    sK638: fun_real_o > real ).

tff(func_def_1705,type,
    sK639: fun_real_o > nat ).

tff(func_def_1706,type,
    sK640: fun_real_o > real ).

tff(func_def_1707,type,
    sK641: fun_real_o > real ).

tff(func_def_1708,type,
    sK642: fun_real_o > nat ).

tff(func_def_1709,type,
    sK643: real > nat ).

tff(func_def_1710,type,
    sK644: real > nat ).

tff(func_def_1711,type,
    sK645: rat > nat ).

tff(func_def_1712,type,
    sK646: complex > real ).

tff(func_def_1713,type,
    sK647: complex > real ).

tff(func_def_1714,type,
    sK648: fun_complex_o > int ).

tff(func_def_1715,type,
    sK649: fun_int_o > int ).

tff(func_def_1716,type,
    sK650: fun_real_o > int ).

tff(func_def_1717,type,
    sK651: fun_rat_o > int ).

tff(func_def_1718,type,
    sK652: complex > int ).

tff(func_def_1719,type,
    sK653: int > int ).

tff(func_def_1720,type,
    sK654: real > int ).

tff(func_def_1721,type,
    sK655: rat > int ).

tff(func_def_1722,type,
    sK656: fun_nat_real > nat ).

tff(func_def_1723,type,
    sK657: ( fun_nat_real * nat ) > nat ).

tff(func_def_1724,type,
    sK658: ( fun_nat_real * nat ) > nat ).

tff(func_def_1725,type,
    sK659: ( fun_nat_real * nat ) > nat ).

tff(func_def_1726,type,
    sK660: fun_nat_complex > real ).

tff(func_def_1727,type,
    sK661: ( fun_nat_complex * real ) > nat ).

tff(func_def_1728,type,
    sK662: ( fun_nat_complex * nat ) > nat ).

tff(func_def_1729,type,
    sK663: ( fun_nat_complex * nat ) > nat ).

tff(func_def_1730,type,
    sK664: fun_nat_real > real ).

tff(func_def_1731,type,
    sK665: ( fun_nat_real * real ) > nat ).

tff(func_def_1732,type,
    sK666: ( fun_nat_real * nat ) > nat ).

tff(func_def_1733,type,
    sK667: ( fun_nat_real * nat ) > nat ).

tff(func_def_1734,type,
    sK668: fun_nat_complex > real ).

tff(func_def_1735,type,
    sK669: ( fun_nat_complex * nat ) > nat ).

tff(func_def_1736,type,
    sK670: ( fun_nat_complex * nat ) > nat ).

tff(func_def_1737,type,
    sK671: fun_nat_real > real ).

tff(func_def_1738,type,
    sK672: ( fun_nat_real * nat ) > nat ).

tff(func_def_1739,type,
    sK673: ( fun_nat_real * nat ) > nat ).

tff(func_def_1740,type,
    sK674: ( fun_nat_complex * real ) > nat ).

tff(func_def_1741,type,
    sK675: ( fun_nat_real * real ) > nat ).

tff(func_def_1742,type,
    sK676: ( int * int ) > nat ).

tff(func_def_1743,type,
    sK677: ( int * int ) > nat ).

tff(func_def_1744,type,
    sK678: ( nat * nat ) > nat ).

tff(func_def_1745,type,
    sK685: ( num * num ) > num ).

tff(func_def_1746,type,
    sK686: ( num * num ) > num ).

tff(func_def_1747,type,
    sK687: ( num * num * num ) > num ).

tff(func_def_1748,type,
    sK688: ( num * num * num ) > num ).

tff(func_def_1749,type,
    sK689: ( num * num * num ) > num ).

tff(func_def_1750,type,
    sK690: ( num * num * num ) > num ).

tff(func_def_1751,type,
    sK692: num > num ).

tff(func_def_1752,type,
    sK693: num > num ).

tff(func_def_1753,type,
    sK694: ( num * num * num ) > num ).

tff(func_def_1754,type,
    sK695: ( num * num * num ) > num ).

tff(func_def_1755,type,
    sK696: ( num * num * num ) > num ).

tff(func_def_1756,type,
    sK697: ( num * num * num ) > num ).

tff(func_def_1757,type,
    sK698: ( list_real * fun_real_o ) > real ).

tff(func_def_1758,type,
    sK699: ( list_complex * fun_complex_o ) > complex ).

tff(func_def_1759,type,
    sK700: ( list_set_nat * fun_set_nat_o ) > set_nat ).

tff(func_def_1760,type,
    sK701: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_1761,type,
    sK703: ( list_nat * fun_nat_o ) > nat ).

tff(func_def_1762,type,
    sK704: ( list_int * fun_int_o ) > int ).

tff(func_def_1763,type,
    sK705: ( fun_real_o * nat * real ) > real ).

tff(func_def_1764,type,
    sK706: fun_int_fun_int_o > int ).

tff(func_def_1765,type,
    sK707: fun_int_fun_int_o > int ).

tff(func_def_1766,type,
    sK708: fun_int_fun_int_o > int ).

tff(func_def_1767,type,
    sK709: fun_int_fun_int_o > int ).

tff(func_def_1768,type,
    sK710: product_prod_num_num > num ).

tff(func_def_1769,type,
    sK711: product_prod_num_num > num ).

tff(func_def_1770,type,
    sK712: product_prod_num_num > num ).

tff(func_def_1771,type,
    sK713: product_prod_num_num > num ).

tff(func_def_1772,type,
    sK714: product_prod_num_num > num ).

tff(func_def_1773,type,
    sK715: product_prod_num_num > num ).

tff(func_def_1774,type,
    sK716: product_prod_num_num > num ).

tff(func_def_1775,type,
    sK717: product_prod_num_num > num ).

tff(func_def_1776,type,
    sK718: product_prod_num_num > num ).

tff(func_def_1777,type,
    sK719: product_prod_num_num > num ).

tff(func_def_1778,type,
    sK720: product_prod_num_num > num ).

tff(func_def_1779,type,
    sK721: product_prod_num_num > num ).

tff(func_def_1780,type,
    sK722: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1781,type,
    sK723: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1782,type,
    sK724: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1783,type,
    sK725: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1784,type,
    sK726: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1785,type,
    sK727: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1786,type,
    sK728: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1787,type,
    sK729: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1788,type,
    sK730: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1789,type,
    sK731: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1790,type,
    sK732: ( int * int * product_prod_int_int ) > int ).

tff(func_def_1791,type,
    sK734: product_prod_nat_nat > nat ).

tff(func_def_1792,type,
    sK735: product_prod_nat_nat > nat ).

tff(func_def_1793,type,
    sK736: ( set_int * int ) > int ).

tff(func_def_1794,type,
    sK737: ( set_nat * nat ) > nat ).

tff(func_def_1795,type,
    sK738: ( nat * nat * nat ) > nat ).

tff(func_def_1796,type,
    sK739: set_nat > nat ).

tff(func_def_1797,type,
    sK740: set_nat > nat ).

tff(func_def_1798,type,
    sK741: ( nat * nat ) > nat ).

tff(func_def_1799,type,
    sK742: ( nat * nat ) > nat ).

tff(func_def_1800,type,
    sK743: ( nat * nat ) > nat ).

tff(func_def_1801,type,
    sK744: ( nat * nat ) > nat ).

tff(func_def_1802,type,
    sK745: ( int * int ) > int ).

tff(func_def_1803,type,
    sK746: ( int * int ) > int ).

tff(func_def_1804,type,
    sK748: ( int * int * int ) > int ).

tff(func_def_1805,type,
    sK749: complex > nat ).

tff(func_def_1806,type,
    sK750: ( int * fun_int_o * set_int ) > int ).

tff(func_def_1807,type,
    sK751: ( int * fun_int_o ) > int ).

tff(func_def_1808,type,
    sK752: ( int * fun_int_o ) > int ).

tff(func_def_1809,type,
    sK753: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1810,type,
    sK757: fun_int_o > int ).

tff(func_def_1811,type,
    sK758: ( int * fun_int_o * set_int ) > int ).

tff(func_def_1812,type,
    sK759: ( int * fun_int_o ) > int ).

tff(func_def_1813,type,
    sK760: ( int * fun_int_o * set_int ) > int ).

tff(func_def_1814,type,
    sK761: ( int * fun_int_o * set_int ) > int ).

tff(func_def_1815,type,
    sK762: ( int * fun_int_o ) > int ).

tff(func_def_1816,type,
    sK763: ( int * fun_int_o ) > int ).

tff(func_def_1817,type,
    sK764: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_1818,type,
    sK768: fun_int_o > int ).

tff(func_def_1819,type,
    sK769: ( int * fun_int_o * set_int ) > int ).

tff(func_def_1820,type,
    sK770: ( int * fun_int_o ) > int ).

tff(func_def_1821,type,
    sK771: ( int * fun_int_o * set_int ) > int ).

tff(func_def_1822,type,
    sK772: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1823,type,
    sK773: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1824,type,
    sK775: ( int * set_int * int ) > int ).

tff(func_def_1825,type,
    sK776: ( int * set_int * int ) > int ).

tff(func_def_1826,type,
    sK777: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1827,type,
    sK778: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1828,type,
    sK780: ( int * set_int * int ) > int ).

tff(func_def_1829,type,
    sK781: ( int * set_int * int ) > int ).

tff(func_def_1830,type,
    sK782: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1831,type,
    sK783: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1832,type,
    sK785: ( int * set_int * int ) > int ).

tff(func_def_1833,type,
    sK786: ( int * set_int * int ) > int ).

tff(func_def_1834,type,
    sK787: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1835,type,
    sK788: ( int * set_int * fun_int_o ) > int ).

tff(func_def_1836,type,
    sK790: ( int * set_int * int ) > int ).

tff(func_def_1837,type,
    sK791: ( int * set_int * int ) > int ).

tff(func_def_1838,type,
    sK792: ( int * set_int * int ) > int ).

tff(func_def_1839,type,
    sK793: ( int * set_int * int ) > int ).

tff(func_def_1840,type,
    sK794: ( int * set_int * int ) > int ).

tff(func_def_1841,type,
    sK795: ( int * set_int * int ) > int ).

tff(func_def_1842,type,
    sK796: ( int * set_int * int ) > int ).

tff(func_def_1843,type,
    sK797: ( int * set_int * int ) > int ).

tff(func_def_1844,type,
    sK798: ( int * set_int * int ) > int ).

tff(func_def_1845,type,
    sK799: ( int * set_int * int ) > int ).

tff(func_def_1846,type,
    sK800: ( int * fun_int_o ) > int ).

tff(func_def_1847,type,
    sK801: ( int * fun_int_o ) > int ).

tff(func_def_1848,type,
    sK802: fun_int_o > int ).

tff(func_def_1849,type,
    sK803: ( int * fun_int_o ) > int ).

tff(func_def_1850,type,
    sK804: ( int * set_int * int ) > int ).

tff(func_def_1851,type,
    sK805: ( int * set_int * int ) > int ).

tff(func_def_1852,type,
    sK806: ( int * set_int * int ) > int ).

tff(func_def_1853,type,
    sK807: ( int * set_int * int ) > int ).

tff(func_def_1854,type,
    sK808: ( int * set_int * int ) > int ).

tff(func_def_1855,type,
    sK809: ( int * set_int * int ) > int ).

tff(func_def_1856,type,
    sK810: ( int * set_int * int ) > int ).

tff(func_def_1857,type,
    sK811: ( int * set_int * int ) > int ).

tff(func_def_1858,type,
    sK812: ( int * set_int * int ) > int ).

tff(func_def_1859,type,
    sK813: ( int * set_int * int ) > int ).

tff(func_def_1860,type,
    sK814: ( int * set_int * int ) > int ).

tff(func_def_1861,type,
    sK815: ( int * set_int * int ) > int ).

tff(func_def_1862,type,
    sK816: ( int * set_int * int ) > int ).

tff(func_def_1863,type,
    sK817: ( int * set_int * int ) > int ).

tff(func_def_1864,type,
    sK818: ( int * set_int * int ) > int ).

tff(func_def_1865,type,
    sK819: ( int * set_int * int ) > int ).

tff(func_def_1866,type,
    sK820: ( int * set_int * int ) > int ).

tff(func_def_1867,type,
    sK821: ( int * set_int * int ) > int ).

tff(func_def_1868,type,
    sK822: ( int * set_int * int ) > int ).

tff(func_def_1869,type,
    sK823: ( int * set_int * int ) > int ).

tff(func_def_1870,type,
    sK824: ( int * set_int * int ) > int ).

tff(func_def_1871,type,
    sK825: ( int * set_int * int ) > int ).

tff(func_def_1872,type,
    sK826: ( int * set_int * int ) > int ).

tff(func_def_1873,type,
    sK827: ( int * set_int * int ) > int ).

tff(func_def_1874,type,
    sK828: rat > rat ).

tff(func_def_1875,type,
    sK829: rat > rat ).

tff(func_def_1876,type,
    sK830: ( nat * fun_nat_o ) > nat ).

tff(func_def_1877,type,
    sK831: ( nat * fun_nat_o ) > nat ).

tff(func_def_1878,type,
    sK832: ( nat * fun_nat_o ) > nat ).

tff(func_def_1879,type,
    sK833: ( nat * fun_nat_o ) > nat ).

tff(func_def_1880,type,
    sK834: fun_nat_real > nat ).

tff(func_def_1881,type,
    sK835: fun_nat_real > nat ).

tff(func_def_1882,type,
    sK836: ( nat * real ) > real ).

tff(func_def_1883,type,
    sK837: ( real * nat ) > real ).

tff(func_def_1884,type,
    sK838: ( nat * real ) > real ).

tff(func_def_1885,type,
    sK839: ( real * fun_real_real * fun_nat_real * nat ) > real ).

tff(func_def_1886,type,
    sK840: ( real * nat ) > real ).

tff(func_def_1887,type,
    sK841: ( fun_nat_real * nat ) > nat ).

tff(func_def_1888,type,
    sK842: ( real * nat ) > real ).

tff(func_def_1889,type,
    sK843: ( real * nat ) > real ).

tff(func_def_1890,type,
    sK844: ( real * nat ) > real ).

tff(func_def_1891,type,
    sK845: ( real * nat ) > real ).

tff(func_def_1892,type,
    sK846: ( real * nat ) > real ).

tff(func_def_1893,type,
    sK847: ( nat * fun_nat_nat ) > nat ).

tff(func_def_1894,type,
    sK848: ( nat * fun_nat_nat ) > nat ).

tff(func_def_1895,type,
    sK851: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_1896,type,
    sK852: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1897,type,
    sK853: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_1898,type,
    sK854: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1899,type,
    sK855: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1900,type,
    sK856: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1901,type,
    sK863: ( vEBT_VEBT * option4927543243414619207at_nat * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1902,type,
    sK866: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1903,type,
    sK867: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1904,type,
    sK868: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1905,type,
    sK869: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1906,type,
    sK875: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1907,type,
    sK876: vEBT_VEBT > nat ).

tff(func_def_1908,type,
    sK877: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1909,type,
    sK878: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1910,type,
    sK883: produc9072475918466114483BT_nat > nat ).

tff(func_def_1911,type,
    sK884: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1912,type,
    sK885: produc9072475918466114483BT_nat > nat ).

tff(func_def_1913,type,
    sK886: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1914,type,
    sK887: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1915,type,
    sK888: produc9072475918466114483BT_nat > nat ).

tff(func_def_1916,type,
    sK891: produc9072475918466114483BT_nat > nat ).

tff(func_def_1917,type,
    sK892: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1918,type,
    sK893: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1919,type,
    sK894: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1920,type,
    sK895: produc9072475918466114483BT_nat > nat ).

tff(func_def_1921,type,
    sK896: produc9072475918466114483BT_nat > option4927543243414619207at_nat ).

tff(func_def_1922,type,
    sK897: produc9072475918466114483BT_nat > nat ).

tff(func_def_1923,type,
    sK898: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1924,type,
    sK899: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1925,type,
    sK900: produc9072475918466114483BT_nat > nat ).

tff(func_def_1926,type,
    sK905: vEBT_VEBT > option4927543243414619207at_nat ).

tff(func_def_1927,type,
    sK906: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1928,type,
    sK907: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1929,type,
    sK908: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_1930,type,
    sK909: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1931,type,
    sK910: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1932,type,
    sK911: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1933,type,
    sK914: produc9072475918466114483BT_nat > nat ).

tff(func_def_1934,type,
    sK915: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1935,type,
    sK916: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1936,type,
    sK917: produc9072475918466114483BT_nat > nat ).

tff(func_def_1937,type,
    sK918: produc9072475918466114483BT_nat > nat ).

tff(func_def_1938,type,
    sK919: produc9072475918466114483BT_nat > nat ).

tff(func_def_1939,type,
    sK920: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1940,type,
    sK921: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1941,type,
    sK922: produc9072475918466114483BT_nat > nat ).

tff(func_def_1942,type,
    sK923: produc9072475918466114483BT_nat > nat ).

tff(func_def_1943,type,
    sK924: produc9072475918466114483BT_nat > nat ).

tff(func_def_1944,type,
    sK925: produc9072475918466114483BT_nat > nat ).

tff(func_def_1945,type,
    sK926: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1946,type,
    sK927: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1947,type,
    sK928: produc9072475918466114483BT_nat > nat ).

tff(func_def_1948,type,
    sK929: produc9072475918466114483BT_nat > nat ).

tff(func_def_1949,type,
    sK930: produc9072475918466114483BT_nat > list_VEBT_VEBT ).

tff(func_def_1950,type,
    sK931: produc9072475918466114483BT_nat > vEBT_VEBT ).

tff(func_def_1951,type,
    sK932: produc9072475918466114483BT_nat > nat ).

tff(func_def_1952,type,
    sK933: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1953,type,
    sK934: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1954,type,
    sK935: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1955,type,
    sK936: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1956,type,
    sK937: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1957,type,
    sK938: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1958,type,
    sK939: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1959,type,
    sK940: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1960,type,
    sK941: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1961,type,
    sK942: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1962,type,
    sK943: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1963,type,
    sK944: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1964,type,
    sK945: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1965,type,
    sK946: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1966,type,
    sK947: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1967,type,
    sK948: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1968,type,
    sK949: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1969,type,
    sK950: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_1970,type,
    sK951: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_1971,type,
    sK952: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_1972,type,
    sK955: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1973,type,
    sK956: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1974,type,
    sK963: ( vEBT_VEBT * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_1975,type,
    sK964: ( vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_1976,type,
    sK965: ( vEBT_VEBT * nat * nat * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1977,type,
    sK966: ( vEBT_VEBT * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1978,type,
    sK969: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_1979,type,
    sK970: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_1980,type,
    sK971: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1981,type,
    sK972: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1982,type,
    sK973: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1983,type,
    sK974: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1984,type,
    sK975: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1985,type,
    sK976: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1986,type,
    sK977: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1987,type,
    sK978: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1988,type,
    sK983: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1989,type,
    sK984: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1990,type,
    sK985: ( vEBT_VEBT * nat * nat * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1991,type,
    sK986: ( vEBT_VEBT * nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1992,type,
    sK987: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1993,type,
    sK988: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1994,type,
    sK989: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1995,type,
    sK990: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1996,type,
    sK991: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1997,type,
    sK992: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_1998,type,
    sK993: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_1999,type,
    sK994: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2000,type,
    sK995: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2001,type,
    sK996: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2002,type,
    sK997: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2003,type,
    sK998: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2004,type,
    sK999: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2005,type,
    sK1000: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2006,type,
    sK1001: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2007,type,
    sK1002: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2008,type,
    sK1007: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2009,type,
    sK1008: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2010,type,
    sK1011: ( list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2011,type,
    sK1012: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2012,type,
    sK1013: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > nat ).

tff(func_def_2013,type,
    sK1014: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2014,type,
    sK1015: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2015,type,
    sK1016: vEBT_VEBT > nat ).

tff(func_def_2016,type,
    sK1017: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2017,type,
    sK1018: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2018,type,
    sK1019: vEBT_VEBT > nat ).

tff(func_def_2019,type,
    sK1020: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2020,type,
    sK1023: ( list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2021,type,
    sK1024: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2022,type,
    sK1028: list_VEBT_VEBT > nat ).

tff(func_def_2023,type,
    sK1029: list_VEBT_VEBT > nat ).

tff(func_def_2024,type,
    sK1030: vEBT_VEBT > nat ).

tff(func_def_2025,type,
    sK1031: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2026,type,
    sK1033: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2027,type,
    sK1034: vEBT_VEBT > nat ).

tff(func_def_2028,type,
    sK1035: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2029,type,
    sK1036: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2030,type,
    sK1037: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2031,type,
    sK1038: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2032,type,
    sK1039: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2033,type,
    sK1040: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2034,type,
    sK1041: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2035,type,
    sK1042: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2036,type,
    sK1043: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2037,type,
    sK1044: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2038,type,
    sK1045: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2039,type,
    sK1046: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2040,type,
    sK1047: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2041,type,
    sK1048: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2042,type,
    sK1049: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2043,type,
    sK1050: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2044,type,
    sK1051: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2045,type,
    sK1052: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2046,type,
    sK1053: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2047,type,
    sK1054: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2048,type,
    sK1055: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2049,type,
    sK1056: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2050,type,
    sK1057: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2051,type,
    sK1058: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2052,type,
    sK1059: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2053,type,
    sK1060: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2054,type,
    sK1067: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2055,type,
    sK1068: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2056,type,
    sK1069: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2057,type,
    sK1070: vEBT_VEBT > nat ).

tff(func_def_2058,type,
    sK1071: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2059,type,
    sK1072: list_VEBT_VEBT > nat ).

tff(func_def_2060,type,
    sK1073: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2061,type,
    sK1074: vEBT_VEBT > nat ).

tff(func_def_2062,type,
    sK1075: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2063,type,
    sK1076: list_VEBT_VEBT > nat ).

tff(func_def_2064,type,
    sK1077: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2065,type,
    sK1078: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2066,type,
    sK1079: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2067,type,
    sK1080: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2068,type,
    sK1084: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2069,type,
    sK1085: vEBT_VEBT > nat ).

tff(func_def_2070,type,
    sK1086: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2071,type,
    sK1087: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2072,type,
    sK1088: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2073,type,
    sK1089: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2074,type,
    sK1090: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2075,type,
    sK1094: ( list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2076,type,
    sK1095: vEBT_VEBT > nat ).

tff(func_def_2077,type,
    sK1096: ( list_VEBT_VEBT * nat * nat * nat * nat ) > nat ).

tff(func_def_2078,type,
    sK1097: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2079,type,
    sK1100: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2080,type,
    sK1101: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2081,type,
    sK1102: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2082,type,
    sK1103: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2083,type,
    sK1104: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2084,type,
    sK1105: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2085,type,
    sK1106: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2086,type,
    sK1107: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2087,type,
    sK1108: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2088,type,
    sK1109: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2089,type,
    sK1110: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2090,type,
    sK1111: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2091,type,
    sK1112: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2092,type,
    sK1113: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2093,type,
    sK1120: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2094,type,
    sK1121: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2095,type,
    sK1122: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2096,type,
    sK1123: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2097,type,
    sK1124: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2098,type,
    sK1125: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2099,type,
    sK1126: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2100,type,
    sK1127: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2101,type,
    sK1128: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2102,type,
    sK1129: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2103,type,
    sK1130: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2104,type,
    sK1131: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2105,type,
    sK1135: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2106,type,
    sK1136: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2107,type,
    sK1137: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2108,type,
    sK1138: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2109,type,
    sK1139: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2110,type,
    sK1140: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2111,type,
    sK1141: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2112,type,
    sK1142: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2113,type,
    sK1143: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2114,type,
    sK1144: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2115,type,
    sK1145: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2116,type,
    sK1146: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2117,type,
    sK1147: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2118,type,
    sK1148: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2119,type,
    sK1159: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2120,type,
    sK1160: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2121,type,
    sK1161: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2122,type,
    sK1162: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2123,type,
    sK1163: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2124,type,
    sK1164: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2125,type,
    sK1165: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2126,type,
    sK1173: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2127,type,
    sK1174: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2128,type,
    sK1175: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2129,type,
    sK1176: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2130,type,
    sK1184: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_2131,type,
    sK1185: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2132,type,
    sK1186: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2133,type,
    sK1187: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_2134,type,
    sK1188: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2135,type,
    sK1189: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2136,type,
    sK1190: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2137,type,
    sK1200: ( nat * vEBT_VEBT ) > nat ).

tff(func_def_2138,type,
    sK1201: ( nat * fun_nat_o ) > nat ).

tff(func_def_2139,type,
    sK1202: ( nat * fun_nat_o ) > nat ).

tff(func_def_2140,type,
    sK1203: ( nat * fun_nat_o ) > nat ).

tff(func_def_2141,type,
    sK1204: ( nat * fun_nat_o ) > nat ).

tff(func_def_2142,type,
    sK1205: ( nat * fun_nat_nat ) > nat ).

tff(func_def_2143,type,
    sK1206: ( nat * fun_nat_nat ) > nat ).

tff(func_def_2144,type,
    sK1207: ( nat * fun_nat_nat ) > nat ).

tff(func_def_2145,type,
    sK1208: ( nat * fun_nat_nat ) > nat ).

tff(func_def_2146,type,
    sK1209: int > nat ).

tff(func_def_2147,type,
    sK1210: int > nat ).

tff(func_def_2148,type,
    sK1211: fun_int_o > product_prod_nat_nat ).

tff(func_def_2149,type,
    sK1212: fun_rat_o > int ).

tff(func_def_2150,type,
    sK1213: fun_rat_o > int ).

tff(func_def_2151,type,
    sK1214: ( list_nat * nat ) > nat ).

tff(func_def_2152,type,
    sK1215: ( list_nat * nat ) > list_nat ).

tff(func_def_2153,type,
    sK1216: list_nat > nat ).

tff(func_def_2154,type,
    sK1217: list_nat > list_nat ).

tff(func_def_2155,type,
    sK1225: num > num ).

tff(func_def_2156,type,
    sK1226: ( num * num * option_num ) > num ).

tff(func_def_2157,type,
    sK1227: ( num * num * option_num ) > num ).

tff(func_def_2158,type,
    sK1228: ( num * num * option_num ) > num ).

tff(func_def_2159,type,
    sK1229: ( num * num * option_num ) > num ).

tff(func_def_2160,type,
    sK1230: ( num * num * option_num ) > num ).

tff(func_def_2161,type,
    sK1231: ( num * num * option_num ) > num ).

tff(func_def_2162,type,
    sK1232: num > num ).

tff(func_def_2163,type,
    sK1233: ( num * num * option_num ) > num ).

tff(func_def_2164,type,
    sK1234: ( num * num * option_num ) > num ).

tff(func_def_2165,type,
    sK1235: ( num * num * option_num ) > num ).

tff(func_def_2166,type,
    sK1236: ( num * num * option_num ) > num ).

tff(func_def_2167,type,
    sK1244: num > num ).

tff(func_def_2168,type,
    sK1245: ( num * num * option_num ) > num ).

tff(func_def_2169,type,
    sK1246: ( num * num * option_num ) > num ).

tff(func_def_2170,type,
    sK1247: ( num * num * option_num ) > num ).

tff(func_def_2171,type,
    sK1248: ( num * num * option_num ) > num ).

tff(func_def_2172,type,
    sK1249: num > num ).

tff(func_def_2173,type,
    sK1250: num > num ).

tff(func_def_2174,type,
    sK1251: num > num ).

tff(func_def_2175,type,
    sK1252: ( num * num * option_num ) > num ).

tff(func_def_2176,type,
    sK1253: ( num * num * option_num ) > num ).

tff(func_def_2177,type,
    sK1254: ( num * num * option_num ) > num ).

tff(func_def_2178,type,
    sK1255: ( num * num * option_num ) > num ).

tff(func_def_2179,type,
    sK1262: ( num * option_num ) > num ).

tff(func_def_2180,type,
    sK1263: ( num * option_num ) > num ).

tff(func_def_2181,type,
    sK1264: ( num * num * option_num ) > num ).

tff(func_def_2182,type,
    sK1265: ( num * num * option_num ) > num ).

tff(func_def_2183,type,
    sK1266: ( num * num * option_num ) > num ).

tff(func_def_2184,type,
    sK1267: ( num * num * option_num ) > num ).

tff(func_def_2185,type,
    sK1268: ( num * num * option_num ) > num ).

tff(func_def_2186,type,
    sK1269: ( num * num * option_num ) > num ).

tff(func_def_2187,type,
    sK1271: ( num * num * option_num ) > num ).

tff(func_def_2188,type,
    sK1272: ( num * num * option_num ) > num ).

tff(func_def_2189,type,
    sK1273: ( num * num * option_num ) > num ).

tff(func_def_2190,type,
    sK1274: ( num * num * option_num ) > num ).

tff(func_def_2191,type,
    sK1275: ( list_nat * nat ) > nat ).

tff(func_def_2192,type,
    sK1276: ( list_nat * nat ) > list_nat ).

tff(func_def_2193,type,
    sK1277: ( real * real ) > rat ).

tff(func_def_2194,type,
    sK1302: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2195,type,
    sK1303: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2196,type,
    sK1304: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2197,type,
    sK1305: ( fun_real_real * real * set_real ) > real ).

tff(func_def_2198,type,
    sK1306: ( fun_real_real * real ) > real ).

tff(func_def_2199,type,
    sK1307: ( fun_real_real * real ) > real ).

tff(func_def_2200,type,
    sK1308: ( fun_real_real * real ) > real ).

tff(func_def_2201,type,
    sK1309: ( fun_real_real * real ) > real ).

tff(func_def_2202,type,
    sK1310: ( fun_real_real * real ) > real ).

tff(func_def_2203,type,
    sK1311: ( fun_real_real * real ) > real ).

tff(func_def_2204,type,
    sK1312: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2205,type,
    sK1313: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2206,type,
    sK1314: ( fun_real_real * real * real ) > real ).

tff(func_def_2207,type,
    sK1315: ( fun_real_real * real ) > real ).

tff(func_def_2208,type,
    sK1316: ( fun_real_real * real * real ) > real ).

tff(func_def_2209,type,
    sK1317: ( fun_real_real * real * real ) > real ).

tff(func_def_2210,type,
    sK1318: ( fun_re4238438383274954274t_real * fun_re4238438383274954274t_real * real ) > nat ).

tff(func_def_2211,type,
    sK1319: ( fun_re4238438383274954274t_real * real * real ) > real ).

tff(func_def_2212,type,
    sK1320: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > nat ).

tff(func_def_2213,type,
    sK1321: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > real ).

tff(func_def_2214,type,
    sK1322: ( fun_re4238438383274954274t_real * real * real * fun_nat_real ) > real ).

tff(func_def_2215,type,
    sK1323: ( real * fun_nat_real ) > real ).

tff(func_def_2216,type,
    sK1324: fun_na6724076748692969250l_real > nat ).

tff(func_def_2217,type,
    sK1325: fun_na6724076748692969250l_real > real ).

tff(func_def_2218,type,
    sK1326: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_2219,type,
    sK1327: fun_na6724076748692969250l_real > nat ).

tff(func_def_2220,type,
    sK1328: fun_na6724076748692969250l_real > real ).

tff(func_def_2221,type,
    sK1329: ( fun_na6724076748692969250l_real * fun_real_real * real * nat ) > real ).

tff(func_def_2222,type,
    sK1330: ( real * nat * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_2223,type,
    sK1331: ( real * nat * fun_na6724076748692969250l_real ) > real ).

tff(func_def_2224,type,
    sK1332: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_2225,type,
    sK1333: ( real * fun_na6724076748692969250l_real * nat ) > nat ).

tff(func_def_2226,type,
    sK1334: ( real * fun_na6724076748692969250l_real * nat ) > real ).

tff(func_def_2227,type,
    sK1335: ( real * fun_na6724076748692969250l_real * fun_real_real * nat ) > real ).

tff(func_def_2228,type,
    sK1336: ( real * nat * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_2229,type,
    sK1337: ( real * nat * fun_na6724076748692969250l_real ) > real ).

tff(func_def_2230,type,
    sK1338: ( real * nat * fun_na6724076748692969250l_real * fun_real_real ) > real ).

tff(func_def_2231,type,
    sK1339: fun_na6724076748692969250l_real > nat ).

tff(func_def_2232,type,
    sK1340: fun_na6724076748692969250l_real > real ).

tff(func_def_2233,type,
    sK1341: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_2234,type,
    sK1342: ( fun_na6724076748692969250l_real * nat * real ) > nat ).

tff(func_def_2235,type,
    sK1343: ( fun_na6724076748692969250l_real * nat * real ) > real ).

tff(func_def_2236,type,
    sK1344: ( fun_na6724076748692969250l_real * fun_real_real * nat * real ) > real ).

tff(func_def_2237,type,
    sK1345: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_2238,type,
    sK1346: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_2239,type,
    sK1347: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_2240,type,
    sK1348: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_2241,type,
    sK1349: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_2242,type,
    sK1350: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_2243,type,
    sK1351: ( nat * fun_na6724076748692969250l_real * real * real ) > nat ).

tff(func_def_2244,type,
    sK1352: ( nat * fun_na6724076748692969250l_real * real * real ) > real ).

tff(func_def_2245,type,
    sK1353: ( nat * fun_na6724076748692969250l_real * fun_real_real * real * real ) > real ).

tff(func_def_2246,type,
    sK1354: ( nat * real * fun_na6724076748692969250l_real ) > nat ).

tff(func_def_2247,type,
    sK1355: ( nat * real * fun_na6724076748692969250l_real ) > real ).

tff(func_def_2248,type,
    sK1356: ( fun_real_real * real ) > real ).

tff(func_def_2249,type,
    sK1357: ( fun_real_real * real ) > real ).

tff(func_def_2250,type,
    sK1358: ( fun_real_real * real ) > real ).

tff(func_def_2251,type,
    sK1359: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2252,type,
    sK1360: ( real * real * fun_real_real ) > real ).

tff(func_def_2253,type,
    sK1361: ( real * real * fun_real_real ) > real ).

tff(func_def_2254,type,
    sK1362: ( real * real * fun_real_real ) > real ).

tff(func_def_2255,type,
    sK1363: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2256,type,
    sK1364: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2257,type,
    sK1365: ( real * real * fun_real_real * fun_real_real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2258,type,
    sK1369: fun_nat_real > nat ).

tff(func_def_2259,type,
    sK1370: fun_nat_real > nat ).

tff(func_def_2260,type,
    sK1371: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_2261,type,
    sK1372: ( fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2262,type,
    sK1373: fun_nat_real > nat ).

tff(func_def_2263,type,
    sK1374: ( fun_nat_real * real ) > nat ).

tff(func_def_2264,type,
    sK1375: ( fun_nat_real * real ) > real ).

tff(func_def_2265,type,
    sK1376: fun_nat_real > nat ).

tff(func_def_2266,type,
    sK1377: fun_nat_real > nat ).

tff(func_def_2267,type,
    sK1378: ( fun_nat_real * real ) > fun_nat_int ).

tff(func_def_2268,type,
    sK1379: fun_nat_real > fun_nat_int ).

tff(func_def_2269,type,
    sK1380: fun_nat_real > nat ).

tff(func_def_2270,type,
    sK1381: fun_nat_real > nat ).

tff(func_def_2271,type,
    sK1382: fun_nat_real > nat ).

tff(func_def_2272,type,
    sK1383: fun_nat_real > nat ).

tff(func_def_2273,type,
    sK1384: fun_nat_real > nat ).

tff(func_def_2274,type,
    sK1385: fun_nat_real > nat ).

tff(func_def_2275,type,
    sK1386: fun_nat_real > real ).

tff(func_def_2276,type,
    sK1387: fun_nat_real > nat ).

tff(func_def_2277,type,
    sK1388: fun_nat_real > nat ).

tff(func_def_2278,type,
    sK1389: fun_nat_real > nat ).

tff(func_def_2279,type,
    sK1390: fun_nat_real > nat ).

tff(func_def_2280,type,
    sK1391: ( real * real * fun_real_real ) > real ).

tff(func_def_2281,type,
    sK1392: ( real * real ) > real ).

tff(func_def_2282,type,
    sK1393: ( real * real * fun_real_real ) > real ).

tff(func_def_2283,type,
    sK1394: ( real * real ) > real ).

tff(func_def_2284,type,
    sK1395: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2285,type,
    sK1396: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2286,type,
    sK1397: ( real * real * fun_real_real * fun_real_real ) > real ).

tff(func_def_2287,type,
    sK1400: ( real * real ) > real ).

tff(func_def_2288,type,
    sK1401: ( real * real * fun_real_real ) > real ).

tff(func_def_2289,type,
    sK1402: ( real * real * fun_real_real ) > real ).

tff(func_def_2290,type,
    sK1403: ( set_real * fun_real_real ) > real ).

tff(func_def_2291,type,
    sK1404: ( set_real * fun_real_real ) > real ).

tff(func_def_2292,type,
    sK1405: ( real * real ) > real ).

tff(func_def_2293,type,
    sK1406: ( real * real * fun_real_real * fun_re7681423839302404990l_real ) > real ).

tff(func_def_2294,type,
    sK1407: ( set_nat * nat ) > nat ).

tff(func_def_2295,type,
    sK1408: rat > int ).

tff(func_def_2296,type,
    sK1409: rat > int ).

tff(func_def_2297,type,
    sK1410: fun_rat_o > int ).

tff(func_def_2298,type,
    sK1411: fun_rat_o > int ).

tff(func_def_2299,type,
    sK1412: rat > int ).

tff(func_def_2300,type,
    sK1413: rat > int ).

tff(func_def_2301,type,
    sK1414: rat > product_prod_int_int ).

tff(func_def_2302,type,
    sK1415: real > nat ).

tff(func_def_2303,type,
    sK1416: real > nat ).

tff(func_def_2304,type,
    sK1417: real > real ).

tff(func_def_2305,type,
    sK1418: ( real * real ) > real ).

tff(func_def_2306,type,
    sK1419: real > real ).

tff(func_def_2307,type,
    sK1426: ( num * option_num ) > num ).

tff(func_def_2308,type,
    sK1427: ( num * option_num ) > num ).

tff(func_def_2309,type,
    sK1428: ( num * num * option_num ) > num ).

tff(func_def_2310,type,
    sK1429: ( num * num * option_num ) > num ).

tff(func_def_2311,type,
    sK1430: ( num * num * option_num ) > num ).

tff(func_def_2312,type,
    sK1431: ( num * num * option_num ) > num ).

tff(func_def_2313,type,
    sK1432: ( num * num * option_num ) > num ).

tff(func_def_2314,type,
    sK1433: ( num * num * option_num ) > num ).

tff(func_def_2315,type,
    sK1435: ( num * num * option_num ) > num ).

tff(func_def_2316,type,
    sK1436: ( num * num * option_num ) > num ).

tff(func_def_2317,type,
    sK1437: ( num * num * option_num ) > num ).

tff(func_def_2318,type,
    sK1438: ( num * num * option_num ) > num ).

tff(func_def_2319,type,
    sK1445: ( num * option_num ) > num ).

tff(func_def_2320,type,
    sK1446: ( num * option_num ) > num ).

tff(func_def_2321,type,
    sK1447: ( num * num * option_num ) > num ).

tff(func_def_2322,type,
    sK1448: ( num * num * option_num ) > num ).

tff(func_def_2323,type,
    sK1449: ( num * num * option_num ) > num ).

tff(func_def_2324,type,
    sK1450: ( num * num * option_num ) > num ).

tff(func_def_2325,type,
    sK1451: ( num * num * option_num ) > num ).

tff(func_def_2326,type,
    sK1452: ( num * num * option_num ) > num ).

tff(func_def_2327,type,
    sK1454: ( num * num * option_num ) > num ).

tff(func_def_2328,type,
    sK1455: ( num * num * option_num ) > num ).

tff(func_def_2329,type,
    sK1456: ( num * num * option_num ) > num ).

tff(func_def_2330,type,
    sK1457: ( num * num * option_num ) > num ).

tff(func_def_2331,type,
    sK1464: ( num * option_num ) > num ).

tff(func_def_2332,type,
    sK1465: ( num * option_num ) > num ).

tff(func_def_2333,type,
    sK1466: ( num * num * option_num ) > num ).

tff(func_def_2334,type,
    sK1467: ( num * num * option_num ) > num ).

tff(func_def_2335,type,
    sK1468: ( num * num * option_num ) > num ).

tff(func_def_2336,type,
    sK1469: ( num * num * option_num ) > num ).

tff(func_def_2337,type,
    sK1470: ( num * num * option_num ) > num ).

tff(func_def_2338,type,
    sK1471: ( num * num * option_num ) > num ).

tff(func_def_2339,type,
    sK1473: ( num * num * option_num ) > num ).

tff(func_def_2340,type,
    sK1474: ( num * num * option_num ) > num ).

tff(func_def_2341,type,
    sK1475: ( num * num * option_num ) > num ).

tff(func_def_2342,type,
    sK1476: ( num * num * option_num ) > num ).

tff(func_def_2343,type,
    sK1483: ( num * num ) > num ).

tff(func_def_2344,type,
    sK1484: ( num * num ) > num ).

tff(func_def_2345,type,
    sK1485: ( num * num * num ) > num ).

tff(func_def_2346,type,
    sK1486: ( num * num * num ) > num ).

tff(func_def_2347,type,
    sK1487: ( num * num * num ) > num ).

tff(func_def_2348,type,
    sK1488: ( num * num * num ) > num ).

tff(func_def_2349,type,
    sK1489: ( num * num * num ) > num ).

tff(func_def_2350,type,
    sK1490: ( num * num * num ) > num ).

tff(func_def_2351,type,
    sK1492: ( num * num * num ) > num ).

tff(func_def_2352,type,
    sK1493: ( num * num * num ) > num ).

tff(func_def_2353,type,
    sK1494: ( num * num * num ) > num ).

tff(func_def_2354,type,
    sK1495: ( num * num * num ) > num ).

tff(func_def_2355,type,
    sK1496: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2356,type,
    sK1497: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2357,type,
    sK1498: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2358,type,
    sK1499: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2359,type,
    sK1504: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2360,type,
    sK1505: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2361,type,
    sK1506: vEBT_VEBT > nat ).

tff(func_def_2362,type,
    sK1507: list_VEBT_VEBT > nat ).

tff(func_def_2363,type,
    sK1508: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2364,type,
    sK1509: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2365,type,
    sK1510: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2366,type,
    sK1511: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2367,type,
    sK1517: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2368,type,
    sK1518: vEBT_VEBT > nat ).

tff(func_def_2369,type,
    sK1519: list_VEBT_VEBT > nat ).

tff(func_def_2370,type,
    sK1520: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2371,type,
    sK1521: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2372,type,
    sK1522: vEBT_VEBT > nat ).

tff(func_def_2373,type,
    sK1523: list_VEBT_VEBT > nat ).

tff(func_def_2374,type,
    sK1524: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_2375,type,
    sK1525: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2376,type,
    sK1526: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2377,type,
    sK1527: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2378,type,
    sK1533: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2379,type,
    sK1534: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2380,type,
    sK1535: vEBT_VEBT > nat ).

tff(func_def_2381,type,
    sK1536: list_VEBT_VEBT > nat ).

tff(func_def_2382,type,
    sK1539: ( vEBT_VEBT * nat * $o ) > option4927543243414619207at_nat ).

tff(func_def_2383,type,
    sK1540: ( vEBT_VEBT * nat * $o ) > nat ).

tff(func_def_2384,type,
    sK1541: ( vEBT_VEBT * nat * $o ) > list_VEBT_VEBT ).

tff(func_def_2385,type,
    sK1542: ( vEBT_VEBT * nat * $o ) > vEBT_VEBT ).

tff(func_def_2386,type,
    sK1549: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2387,type,
    sK1550: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2388,type,
    sK1551: vEBT_VEBT > nat ).

tff(func_def_2389,type,
    sK1552: list_VEBT_VEBT > nat ).

tff(func_def_2390,type,
    sK1555: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2391,type,
    sK1556: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2392,type,
    sK1557: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2393,type,
    sK1558: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2394,type,
    sK1564: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2395,type,
    sK1565: vEBT_VEBT > nat ).

tff(func_def_2396,type,
    sK1566: list_VEBT_VEBT > nat ).

tff(func_def_2397,type,
    sK1569: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_2398,type,
    sK1570: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_2399,type,
    sK1571: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2400,type,
    sK1572: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2401,type,
    sK1578: ( nat * list_VEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2402,type,
    sK1579: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2403,type,
    sK1580: vEBT_VEBT > nat ).

tff(func_def_2404,type,
    sK1581: list_VEBT_VEBT > nat ).

tff(func_def_2405,type,
    sK1582: fun_nat_rat > rat ).

tff(func_def_2406,type,
    sK1583: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2407,type,
    sK1584: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2408,type,
    sK1585: fun_nat_rat > rat ).

tff(func_def_2409,type,
    sK1586: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2410,type,
    sK1587: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2411,type,
    sK1588: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2412,type,
    sK1589: fun_real_o > fun_nat_rat ).

tff(func_def_2413,type,
    sK1590: fun_nat_rat > rat ).

tff(func_def_2414,type,
    sK1591: fun_nat_rat > nat ).

tff(func_def_2415,type,
    sK1592: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_2416,type,
    sK1593: ( fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_2417,type,
    sK1594: ( fun_nat_rat * fun_nat_rat * rat ) > nat ).

tff(func_def_2418,type,
    sK1595: ( fun_nat_rat * fun_nat_rat * nat ) > nat ).

tff(func_def_2419,type,
    sK1596: real > rat ).

tff(func_def_2420,type,
    sK1597: real > nat ).

tff(func_def_2421,type,
    sK1598: ( real * rat * nat ) > nat ).

tff(func_def_2422,type,
    sK1599: fun_real_o > fun_nat_rat ).

tff(func_def_2423,type,
    sK1600: fun_nat_rat > rat ).

tff(func_def_2424,type,
    sK1601: ( fun_nat_rat * real ) > nat ).

tff(func_def_2425,type,
    sK1602: ( fun_nat_rat * real ) > nat ).

tff(func_def_2426,type,
    sK1603: ( fun_nat_rat * real ) > nat ).

tff(func_def_2427,type,
    sK1604: fun_nat_rat > rat ).

tff(func_def_2428,type,
    sK1605: fun_nat_rat > nat ).

tff(func_def_2429,type,
    sK1606: fun_nat_rat > rat ).

tff(func_def_2430,type,
    sK1607: fun_nat_rat > nat ).

tff(func_def_2431,type,
    sK1608: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_2432,type,
    sK1609: fun_nat_rat > rat ).

tff(func_def_2433,type,
    sK1610: fun_nat_rat > nat ).

tff(func_def_2434,type,
    sK1611: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2435,type,
    sK1612: fun_nat_rat > rat ).

tff(func_def_2436,type,
    sK1613: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2437,type,
    sK1614: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2438,type,
    sK1615: fun_nat_rat > rat ).

tff(func_def_2439,type,
    sK1616: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2440,type,
    sK1617: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2441,type,
    sK1618: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2442,type,
    sK1619: fun_nat_rat > rat ).

tff(func_def_2443,type,
    sK1620: ( fun_nat_rat * rat ) > nat ).

tff(func_def_2444,type,
    sK1621: ( fun_nat_rat * nat ) > nat ).

tff(func_def_2445,type,
    sK1622: fun_nat_o > nat ).

tff(func_def_2446,type,
    sK1623: ( nat * list_nat ) > nat ).

tff(func_def_2447,type,
    sK1624: ( nat * list_nat ) > nat ).

tff(func_def_2448,type,
    sK1625: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_2449,type,
    sK1626: ( extended_enat * extended_enat * nat ) > nat ).

tff(func_def_2450,type,
    sK1627: ( extended_enat * nat ) > nat ).

tff(func_def_2451,type,
    sK1628: ( nat * extended_enat ) > nat ).

tff(func_def_2452,type,
    sK1629: ( int * int * int ) > int ).

tff(func_def_2453,type,
    sK1630: ( nat * nat * nat ) > nat ).

tff(func_def_2454,type,
    sK1632: set_nat > nat ).

tff(func_def_2455,type,
    sK1633: set_nat > nat ).

tff(func_def_2456,type,
    sK1634: set_nat > nat ).

tff(func_def_2457,type,
    sK1635: set_nat > nat ).

tff(func_def_2458,type,
    sK1636: ( set_nat * nat ) > nat ).

tff(func_def_2459,type,
    sK1637: ( set_int * int ) > int ).

tff(func_def_2460,type,
    sK1638: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2461,type,
    sK1645: ( num * num ) > num ).

tff(func_def_2462,type,
    sK1646: ( num * num ) > num ).

tff(func_def_2463,type,
    sK1647: ( num * num * num ) > num ).

tff(func_def_2464,type,
    sK1648: ( num * num * num ) > num ).

tff(func_def_2465,type,
    sK1649: ( num * num * num ) > num ).

tff(func_def_2466,type,
    sK1650: ( num * num * num ) > num ).

tff(func_def_2467,type,
    sK1651: ( num * num * num ) > num ).

tff(func_def_2468,type,
    sK1652: ( num * num * num ) > num ).

tff(func_def_2469,type,
    sK1654: ( num * num * num ) > num ).

tff(func_def_2470,type,
    sK1655: ( num * num * num ) > num ).

tff(func_def_2471,type,
    sK1656: ( num * num * num ) > num ).

tff(func_def_2472,type,
    sK1657: ( num * num * num ) > num ).

tff(func_def_2473,type,
    sK1664: ( num * num ) > num ).

tff(func_def_2474,type,
    sK1665: ( num * num ) > num ).

tff(func_def_2475,type,
    sK1666: ( num * num * num ) > num ).

tff(func_def_2476,type,
    sK1667: ( num * num * num ) > num ).

tff(func_def_2477,type,
    sK1668: ( num * num * num ) > num ).

tff(func_def_2478,type,
    sK1669: ( num * num * num ) > num ).

tff(func_def_2479,type,
    sK1670: ( num * num * num ) > num ).

tff(func_def_2480,type,
    sK1671: ( num * num * num ) > num ).

tff(func_def_2481,type,
    sK1673: ( num * num * num ) > num ).

tff(func_def_2482,type,
    sK1674: ( num * num * num ) > num ).

tff(func_def_2483,type,
    sK1675: ( num * num * num ) > num ).

tff(func_def_2484,type,
    sK1676: ( num * num * num ) > num ).

tff(func_def_2485,type,
    sK1677: fun_nat_o > nat ).

tff(func_def_2486,type,
    sK1678: fun_nat_rat > rat ).

tff(func_def_2487,type,
    sK1679: fun_nat_rat > nat ).

tff(func_def_2488,type,
    sK1680: ( fun_nat_rat * rat * nat ) > nat ).

tff(func_def_2489,type,
    sK1681: real > int ).

tff(func_def_2490,type,
    sK1682: real > nat ).

tff(func_def_2491,type,
    sK1683: real > int ).

tff(func_def_2492,type,
    sK1684: real > int ).

tff(func_def_2493,type,
    sK1685: ( set_real * real ) > real ).

tff(func_def_2494,type,
    sK1686: ( set_nat * nat ) > nat ).

tff(func_def_2495,type,
    sK1687: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2496,type,
    sK1688: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2497,type,
    sK1689: ( nat * list_VEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2498,type,
    sK1690: list_VEBT_VEBT > nat ).

tff(func_def_2499,type,
    sK1692: ( list_VEBT_VEBT * nat ) > nat ).

tff(pred_def_1,type,
    bNF_re9130850084932126070nteger: ( fun_in4891666191172872833eger_o * fun_fu726873822431485118eger_o * fun_int_fun_int_int * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_2,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_o * fun_fu4208408993564413984_int_o * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_3,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_o * fun_fu6699046866436802030_int_o * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_4,type,
    bNF_re2486238095283335024nt_rat: ( fun_int_fun_int_o * fun_fu7677565902479959693_rat_o * fun_in1696471567231710611nt_int * fun_int_fun_int_rat ) > $o ).

tff(pred_def_5,type,
    bNF_re5252274238750452962nteger: ( fun_na2240068485812228818ural_o * fun_in4891666191172872833eger_o * fun_nat_int * fun_Co2940338738630218498nteger ) > $o ).

tff(pred_def_6,type,
    bNF_re1400205106991740995atural: ( fun_na2240068485812228818ural_o * fun_fu2034268335391280352ural_o * fun_nat_fun_nat_nat * fun_Co6813818151677833714atural ) > $o ).

tff(pred_def_7,type,
    bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_o * fun_in4891666191172872833eger_o * fun_nat_int * fun_nat_Code_integer ) > $o ).

tff(pred_def_8,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_o * fun_int_fun_int_o * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_9,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_o * fun_Pr4738963024209204295_int_o * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_10,type,
    bNF_re4578097776928471693nteger: ( fun_nat_fun_nat_o * fun_fu726873822431485118eger_o * fun_nat_fun_int_int * fun_na7078387940644931716nteger ) > $o ).

tff(pred_def_11,type,
    bNF_re5651586111134833323nt_int: ( fun_nat_fun_nat_o * fun_fu4208408993564413984_int_o * fun_nat_fun_int_int * fun_nat_fun_int_int ) > $o ).

tff(pred_def_12,type,
    bNF_re728283343719287275atural: ( fun_nat_fun_nat_o * fun_fu2034268335391280352ural_o * fun_nat_fun_nat_nat * fun_na607345901702507418atural ) > $o ).

tff(pred_def_13,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_o * fun_fu9201817095025044880_nat_o * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_14,type,
    bNF_re4520166952630509772nteger: ( fun_num_fun_num_o * fun_fu6196024946523381971eger_o * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).

tff(pred_def_15,type,
    bNF_re6378542964492772123um_int: ( fun_num_fun_num_o * fun_fu5908277796454533188_int_o * fun_num_fun_num_int * fun_num_fun_num_int ) > $o ).

tff(pred_def_16,type,
    bNF_re8699439704749558557nt_o_o: ( fun_Pr9018117161326028078_int_o * fun_o_fun_o_o * fun_Pr3238374608701176162_int_o * fun_Pr3238374608701176162_int_o ) > $o ).

tff(pred_def_17,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr9018117161326028078_int_o * fun_fu5323616038969315652_int_o * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_18,type,
    bNF_re1494630372529172596at_o_o: ( fun_Pr7537129237977221859_rat_o * fun_o_fun_o_o * fun_Pr3238374608701176162_int_o * fun_rat_o ) > $o ).

tff(pred_def_19,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr7537129237977221859_rat_o * fun_fu4306744791715064858_rat_o * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_20,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr4738963024209204295_int_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_21,type,
    bNF_re4195927319312321177_int_o: ( fun_Pr4738963024209204295_int_o * fun_fu9090758901314268781nt_o_o * fun_Pr2028404973800837934_nat_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_22,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr4738963024209204295_int_o * fun_fu4638078822479986034_int_o * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_23,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr2028404973800837934_nat_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_24,type,
    bNF_re4103222659376994899_nat_o: ( fun_Pr2028404973800837934_nat_o * fun_fu9045186299510176150at_o_o * fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > $o ).

tff(pred_def_25,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr2028404973800837934_nat_o * fun_fu3373238862511017284_nat_o * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_26,type,
    bNF_re6090955117988708457real_o: ( fun_fu1771228864347509049real_o * fun_fu7981297689148232565al_o_o * fun_fu6714665071556184448_rat_o * fun_real_fun_real_o ) > $o ).

tff(pred_def_27,type,
    bNF_re1162444993429354318l_real: ( fun_fu1771228864347509049real_o * fun_fu6910828598506988974real_o * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_28,type,
    bNF_re7504242029904815401at_o_o: ( fun_fu6714665071556184448_rat_o * fun_o_fun_o_o * fun_fun_nat_rat_o * fun_fun_nat_rat_o ) > $o ).

tff(pred_def_29,type,
    bNF_re769765379126235449at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu1950632212952468284_rat_o * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_30,type,
    boolea2445317508997433345nteger: ( fun_Co1981900195452921617nteger * fun_Co1981900195452921617nteger * fun_Co8499238673658658103nteger * code_integer * code_integer * fun_Co1981900195452921617nteger ) > $o ).

tff(pred_def_31,type,
    boolea8527374999097803216ff_int: ( fun_int_fun_int_int * fun_int_fun_int_int * fun_int_int * int * int * fun_int_fun_int_int ) > $o ).

tff(pred_def_32,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_33,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_34,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_35,type,
    has_ve631408500373753343e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_36,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_37,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_38,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_39,type,
    filterlim_nat_int: ( fun_nat_int * filter_int * filter_nat ) > $o ).

tff(pred_def_40,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_41,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_42,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_43,type,
    finite3207457112153483333omplex: set_complex > $o ).

tff(pred_def_44,type,
    finite_finite_int: set_int > $o ).

tff(pred_def_45,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex * set_complex ) > $o ).

tff(pred_def_46,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat * set_complex ) > $o ).

tff(pred_def_47,type,
    bij_betw_nat_int: ( fun_nat_int * set_nat * set_int ) > $o ).

tff(pred_def_48,type,
    bij_be6293887246118711976st_nat: ( fun_nat_list_nat * set_nat * set_list_nat ) > $o ).

tff(pred_def_49,type,
    bij_be8693218025023041337at_nat: ( fun_na1476630412504255114at_nat * set_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_50,type,
    bij_be4790990086886966983at_nat: ( fun_na3635074868517587788at_nat * set_nat * set_Sum_sum_nat_nat ) > $o ).

tff(pred_def_51,type,
    inj_on_int_nat: ( fun_int_nat * set_int ) > $o ).

tff(pred_def_52,type,
    inj_on_list_nat_nat: ( fun_list_nat_nat * set_list_nat ) > $o ).

tff(pred_def_53,type,
    inj_on2178005380612969504at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_54,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_55,type,
    inj_on_set_nat_nat: ( fun_set_nat_nat * set_set_nat ) > $o ).

tff(pred_def_56,type,
    inj_on6343450744447823682at_nat: ( fun_Su884838341992399436at_nat * set_Sum_sum_nat_nat ) > $o ).

tff(pred_def_57,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_58,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_59,type,
    semila1248733672344298208er_nat: ( fun_nat_fun_nat_nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_60,type,
    quotie1194848508323700631at_int: ( fun_Pr2028404973800837934_nat_o * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr4738963024209204295_int_o ) > $o ).

tff(pred_def_61,type,
    quotie6870213296501934825t_real: ( fun_fu6714665071556184448_rat_o * fun_fun_nat_rat_real * fun_real_fun_nat_rat * fun_fu1771228864347509049real_o ) > $o ).

tff(pred_def_62,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_63,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_64,type,
    ord_le5570908160329646204atural: ( code_natural * code_natural ) > $o ).

tff(pred_def_65,type,
    ord_le72135733267957522d_enat: ( extended_enat * extended_enat ) > $o ).

tff(pred_def_66,type,
    ord_le1926595141338095240atural: ( code_natural * code_natural ) > $o ).

tff(pred_def_67,type,
    ord_le2932123472753598470d_enat: ( extended_enat * extended_enat ) > $o ).

tff(pred_def_68,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_69,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_70,type,
    order_mono_real_real: fun_real_real > $o ).

tff(pred_def_71,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_72,type,
    quotie6776551016481293500at_int: ( fun_Pr2028404973800837934_nat_o * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat ) > $o ).

tff(pred_def_73,type,
    quotie8981163687542601860t_real: ( fun_fu6714665071556184448_rat_o * fun_fun_nat_rat_real * fun_real_fun_nat_rat ) > $o ).

tff(pred_def_74,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_75,type,
    vanishes: fun_nat_rat > $o ).

tff(pred_def_76,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_77,type,
    real_V4572627801940501177l_real: fun_real_real > $o ).

tff(pred_def_78,type,
    transp_fun_nat_rat: fun_fu6714665071556184448_rat_o > $o ).

tff(pred_def_79,type,
    dvd_dvd_Code_natural: ( code_natural * code_natural ) > $o ).

tff(pred_def_80,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_81,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_82,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_83,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_84,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_85,type,
    topolo6517432010174082258omplex: fun_nat_complex > $o ).

tff(pred_def_86,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_87,type,
    accp_P8126237942716283194atural: ( fun_Pr3592279944642289454ural_o * produc7822875418678951345atural ) > $o ).

tff(pred_def_88,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_89,type,
    accp_P4275260045618599050at_nat: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_90,type,
    accp_P3113834385874906142um_num: ( fun_Pr4799464687642144302_num_o * product_prod_num_num ) > $o ).

tff(pred_def_91,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_92,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_93,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_94,type,
    aa_Code_natural_o: ( fun_Code_natural_o * code_natural ) > $o ).

tff(pred_def_95,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_96,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_97,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_98,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_99,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_100,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_101,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_102,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_103,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_104,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_105,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_106,type,
    aa_fun774133186966548707eger_o: ( fun_fu1769128043447206010eger_o * fun_Co8499238673658658103nteger ) > $o ).

tff(pred_def_107,type,
    aa_fun1921403200066283853ural_o: ( fun_fu2916398056546941156ural_o * fun_Co7398788559141407565atural ) > $o ).

tff(pred_def_108,type,
    aa_fun_int_int_o: ( fun_fun_int_int_o * fun_int_int ) > $o ).

tff(pred_def_109,type,
    aa_fun_nat_nat_o: ( fun_fun_nat_nat_o * fun_nat_nat ) > $o ).

tff(pred_def_110,type,
    aa_fun_nat_rat_o: ( fun_fun_nat_rat_o * fun_nat_rat ) > $o ).

tff(pred_def_111,type,
    aa_fun2650603632653508759_int_o: ( fun_fu7503566767892366382_int_o * fun_Pr2478283820680522243nt_int ) > $o ).

tff(pred_def_112,type,
    aa_fun3538214411680374423_nat_o: ( fun_fu8391177546919232046_nat_o * fun_Pr2118491707810114563at_nat ) > $o ).

tff(pred_def_113,type,
    aa_fun_rat_rat_o: ( fun_fun_rat_rat_o * fun_rat_rat ) > $o ).

tff(pred_def_114,type,
    aa_fun_real_o_o: ( fun_fun_real_o_o * fun_real_o ) > $o ).

tff(pred_def_115,type,
    aa_fun_real_real_o: ( fun_fun_real_real_o * fun_real_real ) > $o ).

tff(pred_def_116,type,
    aa_fun175815717583936595_rat_o: ( fun_fu4846507671440591850_rat_o * fun_fu8328862064278946247at_rat ) > $o ).

tff(pred_def_117,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_118,type,
    member_Code_integer: ( code_integer * set_Code_integer ) > $o ).

tff(pred_def_119,type,
    member_complex: ( complex * set_complex ) > $o ).

tff(pred_def_120,type,
    member_int: ( int * set_int ) > $o ).

tff(pred_def_121,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_122,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_123,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_124,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_125,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_126,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_127,type,
    sP109: ( real * real * fun_real_o * real * fun_real_o ) > $o ).

tff(pred_def_128,type,
    sP114: ( rat * rat * fun_rat_o * rat * fun_rat_o ) > $o ).

tff(pred_def_129,type,
    sP119: ( int * int * fun_int_o * int * fun_int_o ) > $o ).

tff(pred_def_130,type,
    sP157: ( real * real * fun_real_o * real * fun_real_o ) > $o ).

tff(pred_def_131,type,
    sP162: ( rat * rat * fun_rat_o * rat * fun_rat_o ) > $o ).

tff(pred_def_132,type,
    sP167: ( int * int * fun_int_o * int * fun_int_o ) > $o ).

tff(pred_def_133,type,
    sP168: $o > $o ).

tff(pred_def_134,type,
    sP169: $o > $o ).

tff(pred_def_135,type,
    sP170: $o > $o ).

tff(pred_def_136,type,
    sP171: $o > $o ).

tff(pred_def_137,type,
    sP172: $o > $o ).

tff(pred_def_138,type,
    sP173: $o > $o ).

tff(pred_def_139,type,
    sP174: $o > $o ).

tff(pred_def_140,type,
    sP175: $o > $o ).

tff(pred_def_141,type,
    sP176: $o > $o ).

tff(pred_def_142,type,
    sP177: $o > $o ).

tff(pred_def_143,type,
    sP178: $o > $o ).

tff(pred_def_144,type,
    sP179: $o > $o ).

tff(pred_def_145,type,
    sP180: $o > $o ).

tff(pred_def_146,type,
    sP181: $o > $o ).

tff(pred_def_147,type,
    sP182: $o > $o ).

tff(pred_def_148,type,
    sP183: $o > $o ).

tff(pred_def_149,type,
    sP184: $o > $o ).

tff(pred_def_150,type,
    sP185: $o > $o ).

tff(pred_def_151,type,
    sP186: $o > $o ).

tff(pred_def_152,type,
    sP187: $o > $o ).

tff(pred_def_153,type,
    sP188: $o > $o ).

tff(pred_def_154,type,
    sP189: $o > $o ).

tff(pred_def_155,type,
    sP190: $o > $o ).

tff(pred_def_156,type,
    sP191: $o > $o ).

tff(pred_def_157,type,
    sP192: $o > $o ).

tff(pred_def_158,type,
    sP193: $o > $o ).

tff(pred_def_159,type,
    sP194: $o > $o ).

tff(pred_def_160,type,
    sP195: $o > $o ).

tff(pred_def_161,type,
    sP196: $o > $o ).

tff(pred_def_162,type,
    sP197: $o > $o ).

tff(pred_def_163,type,
    sP214: ( real * fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_164,type,
    sP218: ( rat * fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_165,type,
    sP222: ( num * fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_166,type,
    sP226: ( nat * fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_167,type,
    sP230: ( int * fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_168,type,
    sP234: ( real * fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_169,type,
    sP238: ( rat * fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_170,type,
    sP242: ( num * fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_171,type,
    sP246: ( nat * fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_172,type,
    sP250: ( int * fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_173,type,
    sP284: ( real * fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_174,type,
    sP288: ( rat * fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_175,type,
    sP292: ( num * fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_176,type,
    sP296: ( nat * fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_177,type,
    sP300: ( int * fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_178,type,
    sP304: ( real * fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_179,type,
    sP308: ( rat * fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_180,type,
    sP312: ( num * fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_181,type,
    sP316: ( nat * fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_182,type,
    sP320: ( int * fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_183,type,
    sP411: ( $o * int ) > $o ).

tff(pred_def_184,type,
    sP412: ( $o * int ) > $o ).

tff(pred_def_185,type,
    sP429: ( int * int * int * int * fun_int_o ) > $o ).

tff(pred_def_186,type,
    sK495: fun_nat_o > $o ).

tff(pred_def_187,type,
    sK498: fun_int_o > $o ).

tff(pred_def_188,type,
    sK501: fun_Code_integer_o > $o ).

tff(pred_def_189,type,
    sP522: ( int * int * int * int * fun_int_o ) > $o ).

tff(pred_def_190,type,
    sP679: ( num * num * num ) > $o ).

tff(pred_def_191,type,
    sP680: ( num * num * num ) > $o ).

tff(pred_def_192,type,
    sP681: ( num * num * num ) > $o ).

tff(pred_def_193,type,
    sP682: ( num * num * num ) > $o ).

tff(pred_def_194,type,
    sP683: ( num * num * num ) > $o ).

tff(pred_def_195,type,
    sP684: ( num * num * num ) > $o ).

tff(pred_def_196,type,
    sP691: ( num * num * num ) > $o ).

tff(pred_def_197,type,
    sK702: ( list_o * fun_o_o ) > $o ).

tff(pred_def_198,type,
    sP733: ( int * product_prod_int_int * int * int ) > $o ).

tff(pred_def_199,type,
    sP747: ( fun_int_o * int * int ) > $o ).

tff(pred_def_200,type,
    sP754: fun_int_o > $o ).

tff(pred_def_201,type,
    sP755: ( set_int * fun_int_o * fun_int_o * int ) > $o ).

tff(pred_def_202,type,
    sP756: ( int * int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_203,type,
    sP765: fun_int_o > $o ).

tff(pred_def_204,type,
    sP766: ( set_int * fun_int_o * fun_int_o * int ) > $o ).

tff(pred_def_205,type,
    sP767: ( int * int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_206,type,
    sP774: ( int * fun_int_o * fun_int_o * set_int * int ) > $o ).

tff(pred_def_207,type,
    sP779: ( int * fun_int_o * fun_int_o * set_int * int ) > $o ).

tff(pred_def_208,type,
    sP784: ( int * fun_int_o * fun_int_o * set_int * int ) > $o ).

tff(pred_def_209,type,
    sP789: ( int * fun_int_o * fun_int_o * set_int * int ) > $o ).

tff(pred_def_210,type,
    sK849: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_211,type,
    sK850: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_212,type,
    sP857: ( list_VEBT_VEBT * nat * option4927543243414619207at_nat * vEBT_VEBT ) > $o ).

tff(pred_def_213,type,
    sP858: ( list_VEBT_VEBT * nat * $o * nat ) > $o ).

tff(pred_def_214,type,
    sP859: $o > $o ).

tff(pred_def_215,type,
    sP860: $o > $o ).

tff(pred_def_216,type,
    sP861: $o > $o ).

tff(pred_def_217,type,
    sP862: ( $o * $o * nat ) > $o ).

tff(pred_def_218,type,
    sK864: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_219,type,
    sK865: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_220,type,
    sP870: ( $o * $o ) > $o ).

tff(pred_def_221,type,
    sP871: ( $o * $o * $o * $o ) > $o ).

tff(pred_def_222,type,
    sP872: $o > $o ).

tff(pred_def_223,type,
    sP873: $o > $o ).

tff(pred_def_224,type,
    sP874: $o > $o ).

tff(pred_def_225,type,
    sK879: vEBT_VEBT > $o ).

tff(pred_def_226,type,
    sK880: vEBT_VEBT > $o ).

tff(pred_def_227,type,
    sK881: produc9072475918466114483BT_nat > $o ).

tff(pred_def_228,type,
    sK882: produc9072475918466114483BT_nat > $o ).

tff(pred_def_229,type,
    sK889: produc9072475918466114483BT_nat > $o ).

tff(pred_def_230,type,
    sK890: produc9072475918466114483BT_nat > $o ).

tff(pred_def_231,type,
    sP901: $o > $o ).

tff(pred_def_232,type,
    sP902: $o > $o ).

tff(pred_def_233,type,
    sK903: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_234,type,
    sK904: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_235,type,
    sK912: produc9072475918466114483BT_nat > $o ).

tff(pred_def_236,type,
    sK913: produc9072475918466114483BT_nat > $o ).

tff(pred_def_237,type,
    sK953: vEBT_VEBT > $o ).

tff(pred_def_238,type,
    sK954: vEBT_VEBT > $o ).

tff(pred_def_239,type,
    sP957: ( list_VEBT_VEBT * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_240,type,
    sP958: ( list_VEBT_VEBT * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_241,type,
    sP959: ( nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_242,type,
    sP960: ( nat * nat * $o * nat ) > $o ).

tff(pred_def_243,type,
    sP961: $o > $o ).

tff(pred_def_244,type,
    sP962: $o > $o ).

tff(pred_def_245,type,
    sK967: vEBT_VEBT > $o ).

tff(pred_def_246,type,
    sK968: vEBT_VEBT > $o ).

tff(pred_def_247,type,
    sP979: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_248,type,
    sP980: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_249,type,
    sP981: $o > $o ).

tff(pred_def_250,type,
    sP982: $o > $o ).

tff(pred_def_251,type,
    sP1003: ( nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_252,type,
    sP1004: ( vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_253,type,
    sP1005: ( vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_254,type,
    sP1006: vEBT_VEBT > $o ).

tff(pred_def_255,type,
    sK1009: vEBT_VEBT > $o ).

tff(pred_def_256,type,
    sK1010: vEBT_VEBT > $o ).

tff(pred_def_257,type,
    sP1021: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_258,type,
    sP1022: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_259,type,
    sP1025: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_260,type,
    sP1026: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_261,type,
    sP1027: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_262,type,
    sP1032: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_263,type,
    sK1061: vEBT_VEBT > $o ).

tff(pred_def_264,type,
    sK1062: vEBT_VEBT > $o ).

tff(pred_def_265,type,
    sP1063: ( nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_266,type,
    sP1064: ( nat * nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_267,type,
    sP1065: ( nat * nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * vEBT_VEBT ) > $o ).

tff(pred_def_268,type,
    sP1066: ( $o * $o * vEBT_VEBT ) > $o ).

tff(pred_def_269,type,
    sP1081: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_270,type,
    sP1082: ( nat * nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_271,type,
    sP1083: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_272,type,
    sP1091: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_273,type,
    sP1092: ( nat * nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_274,type,
    sP1093: ( nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_275,type,
    sK1098: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_276,type,
    sK1099: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_277,type,
    sP1114: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_278,type,
    sP1115: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_279,type,
    sP1116: $o > $o ).

tff(pred_def_280,type,
    sP1117: $o > $o ).

tff(pred_def_281,type,
    sP1118: $o > $o ).

tff(pred_def_282,type,
    sP1119: $o > $o ).

tff(pred_def_283,type,
    sP1132: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > $o ).

tff(pred_def_284,type,
    sK1133: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_285,type,
    sK1134: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_286,type,
    sP1149: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_287,type,
    sP1150: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_288,type,
    sP1151: ( vEBT_VEBT * list_VEBT_VEBT * nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_289,type,
    sP1152: $o > $o ).

tff(pred_def_290,type,
    sP1153: $o > $o ).

tff(pred_def_291,type,
    sP1154: $o > $o ).

tff(pred_def_292,type,
    sP1155: $o > $o ).

tff(pred_def_293,type,
    sP1156: $o > $o ).

tff(pred_def_294,type,
    sK1157: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_295,type,
    sK1158: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_296,type,
    sP1166: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_297,type,
    sP1167: $o > $o ).

tff(pred_def_298,type,
    sP1168: $o > $o ).

tff(pred_def_299,type,
    sP1169: $o > $o ).

tff(pred_def_300,type,
    sP1170: $o > $o ).

tff(pred_def_301,type,
    sK1171: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_302,type,
    sK1172: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_303,type,
    sP1177: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_304,type,
    sP1178: $o > $o ).

tff(pred_def_305,type,
    sP1179: $o > $o ).

tff(pred_def_306,type,
    sP1180: $o > $o ).

tff(pred_def_307,type,
    sP1181: $o > $o ).

tff(pred_def_308,type,
    sK1182: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_309,type,
    sK1183: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_310,type,
    sP1191: ( vEBT_VEBT * list_VEBT_VEBT * nat * option4927543243414619207at_nat * $o * nat * vEBT_VEBT ) > $o ).

tff(pred_def_311,type,
    sP1192: $o > $o ).

tff(pred_def_312,type,
    sP1193: $o > $o ).

tff(pred_def_313,type,
    sP1194: $o > $o ).

tff(pred_def_314,type,
    sP1195: $o > $o ).

tff(pred_def_315,type,
    sP1196: ( $o * $o * nat ) > $o ).

tff(pred_def_316,type,
    sP1197: $o > $o ).

tff(pred_def_317,type,
    sP1198: $o > $o ).

tff(pred_def_318,type,
    sP1199: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_319,type,
    sP1218: ( option_num * num * num ) > $o ).

tff(pred_def_320,type,
    sP1219: ( option_num * num * num ) > $o ).

tff(pred_def_321,type,
    sP1220: ( option_num * num * num ) > $o ).

tff(pred_def_322,type,
    sP1221: ( option_num * num * num ) > $o ).

tff(pred_def_323,type,
    sP1222: ( option_num * num * num ) > $o ).

tff(pred_def_324,type,
    sP1223: ( option_num * num * num ) > $o ).

tff(pred_def_325,type,
    sP1224: ( option_num * num * num ) > $o ).

tff(pred_def_326,type,
    sP1237: ( option_num * num * num ) > $o ).

tff(pred_def_327,type,
    sP1238: ( option_num * num * num ) > $o ).

tff(pred_def_328,type,
    sP1239: ( option_num * num * num ) > $o ).

tff(pred_def_329,type,
    sP1240: ( option_num * num * num ) > $o ).

tff(pred_def_330,type,
    sP1241: ( option_num * num * num ) > $o ).

tff(pred_def_331,type,
    sP1242: ( option_num * num * num ) > $o ).

tff(pred_def_332,type,
    sP1243: ( option_num * num * num ) > $o ).

tff(pred_def_333,type,
    sP1256: ( option_num * num * num ) > $o ).

tff(pred_def_334,type,
    sP1257: ( option_num * num * num ) > $o ).

tff(pred_def_335,type,
    sP1258: ( option_num * num * num ) > $o ).

tff(pred_def_336,type,
    sP1259: ( option_num * num * num ) > $o ).

tff(pred_def_337,type,
    sP1260: ( option_num * num * num ) > $o ).

tff(pred_def_338,type,
    sP1261: ( option_num * num * num ) > $o ).

tff(pred_def_339,type,
    sP1270: ( num * option_num * num ) > $o ).

tff(pred_def_340,type,
    sP1278: ( $o * $o ) > $o ).

tff(pred_def_341,type,
    sP1279: ( $o * $o ) > $o ).

tff(pred_def_342,type,
    sP1280: ( $o * $o ) > $o ).

tff(pred_def_343,type,
    sP1281: ( $o * $o ) > $o ).

tff(pred_def_344,type,
    sP1282: ( $o * $o ) > $o ).

tff(pred_def_345,type,
    sP1283: ( $o * $o ) > $o ).

tff(pred_def_346,type,
    sP1284: ( $o * $o ) > $o ).

tff(pred_def_347,type,
    sP1285: ( $o * $o ) > $o ).

tff(pred_def_348,type,
    sP1286: ( $o * $o ) > $o ).

tff(pred_def_349,type,
    sP1287: ( $o * $o ) > $o ).

tff(pred_def_350,type,
    sP1288: ( $o * $o ) > $o ).

tff(pred_def_351,type,
    sP1289: ( $o * $o ) > $o ).

tff(pred_def_352,type,
    sP1290: ( $o * $o ) > $o ).

tff(pred_def_353,type,
    sP1291: ( $o * $o ) > $o ).

tff(pred_def_354,type,
    sP1292: ( $o * $o ) > $o ).

tff(pred_def_355,type,
    sP1293: ( $o * $o ) > $o ).

tff(pred_def_356,type,
    sP1294: ( $o * $o ) > $o ).

tff(pred_def_357,type,
    sP1295: ( $o * $o ) > $o ).

tff(pred_def_358,type,
    sP1296: ( $o * $o ) > $o ).

tff(pred_def_359,type,
    sP1297: ( $o * $o ) > $o ).

tff(pred_def_360,type,
    sP1298: ( $o * $o ) > $o ).

tff(pred_def_361,type,
    sP1299: ( $o * $o ) > $o ).

tff(pred_def_362,type,
    sP1300: ( $o * $o ) > $o ).

tff(pred_def_363,type,
    sP1301: ( real * real * nat ) > $o ).

tff(pred_def_364,type,
    sP1366: ( real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_365,type,
    sP1367: ( real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_366,type,
    sP1368: ( real * fun_real_real * fun_real_real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_367,type,
    sP1398: ( real * real * real ) > $o ).

tff(pred_def_368,type,
    sP1399: ( real * real * real * fun_real_real * fun_real_real * real * real ) > $o ).

tff(pred_def_369,type,
    sP1420: ( option_num * num * num ) > $o ).

tff(pred_def_370,type,
    sP1421: ( option_num * num * num ) > $o ).

tff(pred_def_371,type,
    sP1422: ( option_num * num * num ) > $o ).

tff(pred_def_372,type,
    sP1423: ( option_num * num * num ) > $o ).

tff(pred_def_373,type,
    sP1424: ( option_num * num * num ) > $o ).

tff(pred_def_374,type,
    sP1425: ( option_num * num * num ) > $o ).

tff(pred_def_375,type,
    sP1434: ( num * option_num * num ) > $o ).

tff(pred_def_376,type,
    sP1439: ( option_num * num * num ) > $o ).

tff(pred_def_377,type,
    sP1440: ( option_num * num * num ) > $o ).

tff(pred_def_378,type,
    sP1441: ( option_num * num * num ) > $o ).

tff(pred_def_379,type,
    sP1442: ( option_num * num * num ) > $o ).

tff(pred_def_380,type,
    sP1443: ( option_num * num * num ) > $o ).

tff(pred_def_381,type,
    sP1444: ( option_num * num * num ) > $o ).

tff(pred_def_382,type,
    sP1453: ( num * option_num * num ) > $o ).

tff(pred_def_383,type,
    sP1458: ( option_num * num * num ) > $o ).

tff(pred_def_384,type,
    sP1459: ( option_num * num * num ) > $o ).

tff(pred_def_385,type,
    sP1460: ( option_num * num * num ) > $o ).

tff(pred_def_386,type,
    sP1461: ( option_num * num * num ) > $o ).

tff(pred_def_387,type,
    sP1462: ( option_num * num * num ) > $o ).

tff(pred_def_388,type,
    sP1463: ( option_num * num * num ) > $o ).

tff(pred_def_389,type,
    sP1472: ( num * option_num * num ) > $o ).

tff(pred_def_390,type,
    sP1477: ( num * num * num ) > $o ).

tff(pred_def_391,type,
    sP1478: ( num * num * num ) > $o ).

tff(pred_def_392,type,
    sP1479: ( num * num * num ) > $o ).

tff(pred_def_393,type,
    sP1480: ( num * num * num ) > $o ).

tff(pred_def_394,type,
    sP1481: ( num * num * num ) > $o ).

tff(pred_def_395,type,
    sP1482: ( num * num * num ) > $o ).

tff(pred_def_396,type,
    sP1491: ( num * num * num ) > $o ).

tff(pred_def_397,type,
    sK1500: vEBT_VEBT > $o ).

tff(pred_def_398,type,
    sK1501: vEBT_VEBT > $o ).

tff(pred_def_399,type,
    sP1502: ( list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_400,type,
    sP1503: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_401,type,
    sK1512: vEBT_VEBT > $o ).

tff(pred_def_402,type,
    sK1513: vEBT_VEBT > $o ).

tff(pred_def_403,type,
    sP1514: $o > $o ).

tff(pred_def_404,type,
    sP1515: $o > $o ).

tff(pred_def_405,type,
    sP1516: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(pred_def_406,type,
    sK1528: vEBT_VEBT > $o ).

tff(pred_def_407,type,
    sK1529: vEBT_VEBT > $o ).

tff(pred_def_408,type,
    sP1530: ( vEBT_VEBT * list_VEBT_VEBT * nat * option4927543243414619207at_nat * $o * nat ) > $o ).

tff(pred_def_409,type,
    sP1531: $o > $o ).

tff(pred_def_410,type,
    sP1532: $o > $o ).

tff(pred_def_411,type,
    sK1537: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_412,type,
    sK1538: ( vEBT_VEBT * nat * $o ) > $o ).

tff(pred_def_413,type,
    sP1543: ( vEBT_VEBT * list_VEBT_VEBT * nat * option4927543243414619207at_nat * $o * nat ) > $o ).

tff(pred_def_414,type,
    sP1544: $o > $o ).

tff(pred_def_415,type,
    sP1545: $o > $o ).

tff(pred_def_416,type,
    sP1546: $o > $o ).

tff(pred_def_417,type,
    sP1547: $o > $o ).

tff(pred_def_418,type,
    sP1548: $o > $o ).

tff(pred_def_419,type,
    sK1553: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_420,type,
    sK1554: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_421,type,
    sP1559: ( vEBT_VEBT * list_VEBT_VEBT * nat * option4927543243414619207at_nat ) > $o ).

tff(pred_def_422,type,
    sP1560: $o > $o ).

tff(pred_def_423,type,
    sP1561: $o > $o ).

tff(pred_def_424,type,
    sP1562: $o > $o ).

tff(pred_def_425,type,
    sP1563: $o > $o ).

tff(pred_def_426,type,
    sK1567: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_427,type,
    sK1568: ( vEBT_VEBT * nat ) > $o ).

tff(pred_def_428,type,
    sP1573: ( vEBT_VEBT * list_VEBT_VEBT * nat * option4927543243414619207at_nat * nat ) > $o ).

tff(pred_def_429,type,
    sP1574: $o > $o ).

tff(pred_def_430,type,
    sP1575: $o > $o ).

tff(pred_def_431,type,
    sP1576: $o > $o ).

tff(pred_def_432,type,
    sP1577: $o > $o ).

tff(pred_def_433,type,
    sP1631: ( fun_int_o * int * int ) > $o ).

tff(pred_def_434,type,
    sP1639: ( num * num * num ) > $o ).

tff(pred_def_435,type,
    sP1640: ( num * num * num ) > $o ).

tff(pred_def_436,type,
    sP1641: ( num * num * num ) > $o ).

tff(pred_def_437,type,
    sP1642: ( num * num * num ) > $o ).

tff(pred_def_438,type,
    sP1643: ( num * num * num ) > $o ).

tff(pred_def_439,type,
    sP1644: ( num * num * num ) > $o ).

tff(pred_def_440,type,
    sP1653: ( num * num * num ) > $o ).

tff(pred_def_441,type,
    sP1658: ( num * num * num ) > $o ).

tff(pred_def_442,type,
    sP1659: ( num * num * num ) > $o ).

tff(pred_def_443,type,
    sP1660: ( num * num * num ) > $o ).

tff(pred_def_444,type,
    sP1661: ( num * num * num ) > $o ).

tff(pred_def_445,type,
    sP1662: ( num * num * num ) > $o ).

tff(pred_def_446,type,
    sP1663: ( num * num * num ) > $o ).

tff(pred_def_447,type,
    sP1672: ( num * num * num ) > $o ).

tff(pred_def_448,type,
    sP1691: ( nat * list_VEBT_VEBT ) > $o ).

tff(f1,axiom,
    aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_True) ).

tff(f2,axiom,
    ! [X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))
     => ( ( X0 = aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) )
       => ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C3_OIH_C_I1_J) ).

tff(f9365,axiom,
    finite_card_o(top_top_set_o) = aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9364_card__UNIV__bool) ).

tff(f9993,axiom,
    nat_of_num = numeral_numeral_nat,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9992_nat__of__num__numeral) ).

tff(f10396,conjecture,
    ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10397,negated_conjecture,
    ~ ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y),
    inference(negated_conjecture,[status(cth)],[f10396]) ).

tff(f10881,plain,
    aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y),
    inference(flattening,[],[f10397]) ).

tff(f11000,plain,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f11001,plain,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1)
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))) ),
    inference(flattening,[],[f11000]) ).

tff(f15942,plain,
    aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))),
    inference(cnf_transformation,[],[f1]) ).

tff(f15943,plain,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) != X0 )
      | ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1) ),
    inference(cnf_transformation,[],[f11001]) ).

tff(f32536,plain,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = finite_card_o(top_top_set_o),
    inference(cnf_transformation,[],[f9365]) ).

tff(f34514,plain,
    numeral_numeral_nat = nat_of_num,
    inference(cnf_transformation,[],[f9993]) ).

tff(f35151,plain,
    aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),y),
    inference(cnf_transformation,[],[f10881]) ).

tff(f35202,plain,
    aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))),
    inference(definition_unfolding,[],[f15942,f34514]) ).

tff(f35203,plain,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))
      | ( aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))) != X0 )
      | ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(X0)),X1) ),
    inference(definition_unfolding,[],[f15943,f34514,f34514]) ).

tff(f43946,plain,
    finite_card_o(top_top_set_o) = aa_num_nat(nat_of_num,aa_num_num(bit0,one)),
    inference(definition_unfolding,[],[f32536,f34514]) ).

tff(f44828,plain,
    aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),y),
    inference(definition_unfolding,[],[f35151,f34514]) ).

tff(f44829,plain,
    ! [X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))
      | ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X1) ),
    inference(equality_resolution,[],[f35203]) ).

tff(f47307,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))),
    inference(consistent_polarity_flipping,[],[f35202]) ).

tff(f47308,plain,
    ! [X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va)))
      | aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X1) ),
    inference(consistent_polarity_flipping,[],[f44829]) ).

tff(f57745,plain,
    ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),y),
    inference(consistent_polarity_flipping,[],[f44828]) ).

tff(f66949,definition,
    ( spl1693_2250
  <=> ! [X1: nat] : aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X1) ),
    introduced(definition,[new_symbols(definition,[spl1693_2250])],[avatar_definition]) ).

tff(f66950,plain,
    ( ! [X1: nat] : aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),aa_num_nat(nat_of_num,aa_num_num(bit0,one))))),X1)
    | ~ spl1693_2250 ),
    inference(avatar_component_clause,[],[f66949]) ).

tff(f66952,definition,
    ( spl1693_2251
  <=> aa_nat_o(aa_nat_fun_nat_o(dvd_dvd_nat,aa_num_nat(nat_of_num,aa_num_num(bit0,one))),aa_nat_nat(suc,aa_nat_nat(suc,va))) ),
    introduced(definition,[new_symbols(definition,[spl1693_2251])],[avatar_definition]) ).

tff(f66960,plain,
    ( spl1693_2250
    | spl1693_2251 ),
    inference(avatar_split_clause,[],[f47308,f66952,f66949]) ).

tff(f66961,plain,
    ~ spl1693_2251,
    inference(avatar_split_clause,[],[f47307,f66952]) ).

tff(f68811,plain,
    ~ aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),finite_card_o(top_top_set_o)))),y),
    inference(superposition,[],[f57745,f43946]) ).

tff(f231827,plain,
    ( ! [X1: nat] : aa_nat_o(vEBT_VEBT_membermima(vEBT_vebt_buildup(aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,aa_nat_nat(suc,aa_nat_nat(suc,va))),finite_card_o(top_top_set_o)))),X1)
    | ~ spl1693_2250 ),
    inference(forward_demodulation,[],[f66950,f43946]) ).

tff(f231828,plain,
    ( $false
    | ~ spl1693_2250 ),
    inference(backward_subsumption_resolution,[],[f68811,f231827]) ).

tff(f231889,plain,
    ~ spl1693_2250,
    inference(avatar_contradiction_clause,[],[f231828]) ).

cnf(s2203,plain,
    ( spl1693_2250
    | spl1693_2251 ),
    inference(sat_conversion,[],[f66960]) ).

cnf(s2204,plain,
    ~ spl1693_2251,
    inference(sat_conversion,[],[f66961]) ).

cnf(s7826,plain,
    ~ spl1693_2250,
    inference(sat_conversion,[],[f231889]) ).

cnf(s8315,plain,
    $false,
    inference(rat,[],[s2203,s2204,s7826]) ).

tff(f231893,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8315]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP220_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38  % Computer : n019.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 12:26:49 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43  Running first-order model finding
% 0.12/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.32/5.03  % (3021054)Will run a generic schedule for satisfiability detection.
% 28.32/5.03  % (3021059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3412487284_2994 on theBenchmark for (2994ds/0Mi)
% 28.32/5.03  % (3021060)% WARNING: option uhcvi not known.
% 28.32/5.03  % (3021060)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4182379918:i=135531:add=off:rawr=on_2994 on theBenchmark for (2994ds/135531Mi)
% 28.32/5.03  % (3021062)dis+10_1_sil=32000:sp=arity:random_seed=143941995:i=103:fgj=on_2994 on theBenchmark for (2994ds/103Mi)
% 28.32/5.03  % (3021061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1197059165:i=88024:add=on:rawr=on_2994 on theBenchmark for (2994ds/88024Mi)
% 28.32/5.03  % (3021063)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4232280150:i=116_2994 on theBenchmark for (2994ds/116Mi)
% 28.32/5.03  % (3021065)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1631685651:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2994 on theBenchmark for (2994ds/159Mi)
% 28.32/5.03  % (3021064)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2911686742:i=131_2994 on theBenchmark for (2994ds/131Mi)
% 28.32/5.03  % (3021062)Instruction limit reached! 
% 28.32/5.03  % (3021062)------------------------------
% 28.32/5.03  % (3021062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.32/5.03  % (3021062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.32/5.03  % (3021062)CaDiCaL version: 2.1.3
% 28.32/5.03  % (3021062)Termination reason: Instruction limit
% 28.32/5.03  % (3021062)Termination phase: Property scanning
% 28.32/5.03  % (3021062)Time elapsed: 0.054 s
% 28.32/5.03  % (3021062)Peak memory usage: 25 MB
% 28.32/5.03  % (3021062)Instructions burned: 104 (million)
% 28.32/5.03  % (3021064)Instruction limit reached! 
% 28.32/5.03  % (3021064)------------------------------
% 28.32/5.03  % (3021064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.32/5.03  % (3021064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.32/5.03  % (3021064)CaDiCaL version: 2.1.3
% 28.32/5.03  % (3021064)Termination reason: Instruction limit
% 28.32/5.03  % (3021064)Termination phase: Property scanning
% 28.32/5.03  % (3021064)Time elapsed: 0.066 s
% 28.32/5.03  % (3021064)Peak memory usage: 25 MB
% 28.32/5.03  % (3021064)Instructions burned: 133 (million)
% 28.32/5.03  % (3021073)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3634620949:i=714:nm=2_2993 on theBenchmark for (2993ds/714Mi)
% 28.32/5.03  % (3021065)Instruction limit reached! 
% 28.32/5.03  % (3021065)------------------------------
% 28.32/5.03  % (3021065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.32/5.03  % (3021065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.32/5.03  % (3021065)CaDiCaL version: 2.1.3
% 28.32/5.03  % (3021065)Termination reason: Instruction limit
% 28.32/5.03  % (3021065)Termination phase: Property scanning
% 28.32/5.03  % (3021065)Time elapsed: 0.076 s
% 28.32/5.03  % (3021065)Peak memory usage: 25 MB
% 28.32/5.03  % (3021065)Instructions burned: 159 (million)
% 28.32/5.03  % (3021063)Instruction limit reached! 
% 28.32/5.03  % (3021063)------------------------------
% 28.32/5.03  % (3021063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.32/5.03  % (3021063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.32/5.03  % (3021063)CaDiCaL version: 2.1.3
% 28.32/5.03  % (3021063)Termination reason: Instruction limit
% 28.32/5.03  % (3021063)Termination phase: NewCNF
% 28.32/5.03  % (3021063)Time elapsed: 0.080 s
% 28.32/5.03  % (3021063)Peak memory usage: 27 MB
% 28.32/5.03  % (3021063)Instructions burned: 118 (million)
% 28.32/5.03  % (3021074)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1716839090:i=131:bd=preordered:fsd=on_2993 on theBenchmark for (2993ds/131Mi)
% 28.32/5.03  % (3021076)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=701474897:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2993 on theBenchmark for (2993ds/684Mi)
% 28.32/5.03  % (3021077)ott-21_1_sil=16000:fs=off:random_seed=1424889248:i=180:av=off:fsr=off_2993 on theBenchmark for (2993ds/180Mi)
% 28.32/5.03  % (3021074)Instruction limit reached! 
% 28.32/5.03  % (3021074)------------------------------
% 28.32/5.03  % (3021074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.32/5.03  % (3021074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021074)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021074)Termination reason: Instruction limit
% 46.05/7.46  % (3021074)Termination phase: Property scanning
% 46.05/7.46  % (3021074)Time elapsed: 0.067 s
% 46.05/7.46  % (3021074)Peak memory usage: 25 MB
% 46.05/7.46  % (3021074)Instructions burned: 131 (million)
% 46.05/7.46  % (3021081)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3223813784:i=477:bd=all_2992 on theBenchmark for (2992ds/477Mi)
% 46.05/7.46  % (3021077)Instruction limit reached! 
% 46.05/7.46  % (3021077)------------------------------
% 46.05/7.46  % (3021077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021077)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021077)Termination reason: Instruction limit
% 46.05/7.46  % (3021077)Termination phase: Property scanning
% 46.05/7.46  % (3021077)Time elapsed: 0.084 s
% 46.05/7.46  % (3021077)Peak memory usage: 25 MB
% 46.05/7.46  % (3021077)Instructions burned: 181 (million)
% 46.05/7.46  % (3021083)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=450425169:fmbsr=1.3:i=865:ins=25_2992 on theBenchmark for (2992ds/865Mi)
% 46.05/7.46  % (3021081)Instruction limit reached! 
% 46.05/7.46  % (3021081)------------------------------
% 46.05/7.46  % (3021081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021081)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021081)Termination reason: Instruction limit
% 46.05/7.46  % (3021081)Termination phase: Preprocessing 3
% 46.05/7.46  % (3021081)Time elapsed: 0.246 s
% 46.05/7.46  % (3021081)Peak memory usage: 32 MB
% 46.05/7.46  % (3021081)Instructions burned: 478 (million)
% 46.05/7.46  % (3021076)Instruction limit reached! 
% 46.05/7.46  % (3021076)------------------------------
% 46.05/7.46  % (3021076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021076)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021076)Termination reason: Instruction limit
% 46.05/7.46  % (3021076)Termination phase: Property scanning
% 46.05/7.46  % (3021076)Time elapsed: 0.333 s
% 46.05/7.46  % (3021076)Peak memory usage: 35 MB
% 46.05/7.46  % (3021076)Instructions burned: 684 (million)
% 46.05/7.46  % (3021073)Instruction limit reached! 
% 46.05/7.46  % (3021073)------------------------------
% 46.05/7.46  % (3021073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021073)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021073)Termination reason: Instruction limit
% 46.05/7.46  % (3021073)Termination phase: Property scanning
% 46.05/7.46  % (3021073)Time elapsed: 0.357 s
% 46.05/7.46  % (3021073)Peak memory usage: 38 MB
% 46.05/7.46  % (3021073)Instructions burned: 714 (million)
% 46.05/7.46  % (3021085)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=693642057:i=1179_2989 on theBenchmark for (2989ds/1179Mi)
% 46.05/7.46  % (3021086)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1699718794:i=889:ins=1_2989 on theBenchmark for (2989ds/889Mi)
% 46.05/7.46  % (3021087)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=114243519:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2989 on theBenchmark for (2989ds/692Mi)
% 46.05/7.46  % (3021083)Instruction limit reached! 
% 46.05/7.46  % (3021083)------------------------------
% 46.05/7.46  % (3021083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021083)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021083)Termination reason: Instruction limit
% 46.05/7.46  % (3021083)Termination phase: Function definition elimination
% 46.05/7.46  % (3021083)Time elapsed: 0.414 s
% 46.05/7.46  % (3021083)Peak memory usage: 37 MB
% 46.05/7.46  % (3021083)Instructions burned: 865 (million)
% 46.05/7.46  % (3021091)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2669282299:i=879:kws=inv_precedence:fsr=off_2987 on theBenchmark for (2987ds/879Mi)
% 46.05/7.46  % (3021087)Instruction limit reached! 
% 46.05/7.46  % (3021087)------------------------------
% 46.05/7.46  % (3021087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021087)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021087)Termination reason: Instruction limit
% 46.05/7.46  % (3021087)Termination phase: Property scanning
% 46.05/7.46  % (3021087)Time elapsed: 0.338 s
% 46.05/7.46  % (3021087)Peak memory usage: 34 MB
% 46.05/7.46  % (3021087)Instructions burned: 694 (million)
% 46.05/7.46  % (3021093)fmb+10_1_sil=64000:random_seed=1702008501:i=22061:nm=2:gsp=on_2986 on theBenchmark for (2986ds/22061Mi)
% 46.05/7.46  % (3021086)Instruction limit reached! 
% 46.05/7.46  % (3021086)------------------------------
% 46.05/7.46  % (3021086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021086)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021086)Termination reason: Instruction limit
% 46.05/7.46  % (3021086)Termination phase: Function definition elimination
% 46.05/7.46  % (3021086)Time elapsed: 0.430 s
% 46.05/7.46  % (3021086)Peak memory usage: 38 MB
% 46.05/7.46  % (3021086)Instructions burned: 891 (million)
% 46.05/7.46  % (3021095)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4011867210:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 46.05/7.46  % (3021085)Instruction limit reached! 
% 46.05/7.46  % (3021085)------------------------------
% 46.05/7.46  % (3021085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021085)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021085)Termination reason: Instruction limit
% 46.05/7.46  % (3021085)Termination phase: Property scanning
% 46.05/7.46  % (3021085)Time elapsed: 0.557 s
% 46.05/7.46  % (3021085)Peak memory usage: 40 MB
% 46.05/7.46  % (3021085)Instructions burned: 1179 (million)
% 46.05/7.46  % (3021097)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1009576400:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 46.05/7.46  % (3021091)Instruction limit reached! 
% 46.05/7.46  % (3021091)------------------------------
% 46.05/7.46  % (3021091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021091)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021091)Termination reason: Instruction limit
% 46.05/7.46  % (3021091)Termination phase: Function definition elimination
% 46.05/7.46  % (3021091)Time elapsed: 0.401 s
% 46.05/7.46  % (3021091)Peak memory usage: 35 MB
% 46.05/7.46  % (3021091)Instructions burned: 879 (million)
% 46.05/7.46  % (3021099)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1698227243:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 46.05/7.46  % (3021097)Instruction limit reached! 
% 46.05/7.46  % (3021097)------------------------------
% 46.05/7.46  % (3021097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021097)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021097)Termination reason: Instruction limit
% 46.05/7.46  % (3021097)Termination phase: Function definition elimination
% 46.05/7.46  % (3021097)Time elapsed: 0.445 s
% 46.05/7.46  % (3021097)Peak memory usage: 39 MB
% 46.05/7.46  % (3021097)Instructions burned: 921 (million)
% 46.05/7.46  % (3021101)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1802144913:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 46.05/7.46  % (3021101)Instruction limit reached! 
% 46.05/7.46  % (3021101)------------------------------
% 46.05/7.46  % (3021101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021101)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021101)Termination reason: Instruction limit
% 46.05/7.46  % (3021101)Termination phase: Saturation
% 46.05/7.46  % (3021101)Time elapsed: 0.713 s
% 46.05/7.46  % (3021101)Peak memory usage: 43 MB
% 46.05/7.46  % (3021101)Instructions burned: 1472 (million)
% 46.05/7.46  % (3021103)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2498518107:i=6324_2972 on theBenchmark for (2972ds/6324Mi)
% 46.05/7.46  % (3021099)Instruction limit reached! 
% 46.05/7.46  % (3021099)------------------------------
% 46.05/7.46  % (3021099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021099)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021099)Termination reason: Instruction limit
% 46.05/7.46  % (3021099)Termination phase: Saturation
% 46.05/7.46  % (3021099)Time elapsed: 2.939 s
% 46.05/7.46  % (3021099)Peak memory usage: 70 MB
% 46.05/7.46  % (3021099)Instructions burned: 5133 (million)
% 46.05/7.46  % (3021106)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3477743884:fmbsr=2.30978:i=2174_2954 on theBenchmark for (2954ds/2174Mi)
% 46.05/7.46  % (3021106)Instruction limit reached! 
% 46.05/7.46  % (3021106)------------------------------
% 46.05/7.46  % (3021106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021106)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021106)Termination reason: Instruction limit
% 46.05/7.46  % (3021106)Termination phase: Finite model building preprocessing
% 46.05/7.46  % (3021106)Time elapsed: 0.983 s
% 46.05/7.46  % (3021106)Peak memory usage: 41 MB
% 46.05/7.46  % (3021106)Instructions burned: 2176 (million)
% 46.05/7.46  % (3021108)ott-2_1_sil=16000:newcnf=on:random_seed=3469131575:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2943 on theBenchmark for (2943ds/869Mi)
% 46.05/7.46  % (3021103)Instruction limit reached! 
% 46.05/7.46  % (3021103)------------------------------
% 46.05/7.46  % (3021103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021103)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021103)Termination reason: Instruction limit
% 46.05/7.46  % (3021103)Termination phase: Finite model building preprocessing
% 46.05/7.46  % (3021103)Time elapsed: 3.197 s
% 46.05/7.46  % (3021103)Peak memory usage: 77 MB
% 46.05/7.46  % (3021103)Instructions burned: 6325 (million)
% 46.05/7.46  % (3021108)Instruction limit reached! 
% 46.05/7.46  % (3021108)------------------------------
% 46.05/7.46  % (3021108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021108)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021108)Termination reason: Instruction limit
% 46.05/7.46  % (3021108)Termination phase: Function definition elimination
% 46.05/7.46  % (3021108)Time elapsed: 0.395 s
% 46.05/7.46  % (3021108)Peak memory usage: 35 MB
% 46.05/7.46  % (3021108)Instructions burned: 870 (million)
% 46.05/7.46  % (3021110)ott+10_1_sil=32000:tgt=ground:random_seed=509275640:i=5114:av=off_2939 on theBenchmark for (2939ds/5114Mi)
% 46.05/7.46  % (3021111)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2135862316:i=54282_2939 on theBenchmark for (2939ds/54282Mi)
% 46.05/7.46  % (3021095)Instruction limit reached! 
% 46.05/7.46  % (3021095)------------------------------
% 46.05/7.46  % (3021095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.46  % (3021095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.46  % (3021095)CaDiCaL version: 2.1.3
% 46.05/7.46  % (3021095)Termination reason: Instruction limit
% 46.05/7.46  % (3021095)Termination phase: Finite model building preprocessing
% 46.05/7.46  % (3021095)Time elapsed: 4.861 s
% 46.05/7.46  % (3021095)Peak memory usage: 122 MB
% 46.05/7.46  % (3021095)Instructions burned: 9515 (million)
% 46.05/7.46  % (3021114)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1065637756:i=3512:aac=none_2936 on theBenchmark for (2936ds/3512Mi)
% 46.05/7.46  % (3021060) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3021054-3021060"...
% 46.05/7.46  % (3021060)...printing done.
% 46.05/7.46  % (3021060)Refutation found. Thanks to Tanya!
% 46.05/7.46  % SZS status Theorem for theBenchmark
% 46.05/7.46  % SZS output start Proof for theBenchmark
% See solution above
% 46.05/7.48  % (3021060)------------------------------
% 46.05/7.48  % (3021060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 46.05/7.48  % (3021060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.05/7.48  % (3021060)CaDiCaL version: 2.1.3
% 46.05/7.48  % (3021060)Termination reason: Refutation
% 46.05/7.48  % (3021060)Time elapsed: 6.388 s
% 46.05/7.48  % (3021060)Peak memory usage: 115 MB
% 46.05/7.48  % (3021060)Instructions burned: 10887 (million)
% 46.05/7.48  % (3021054)Success in time 7.025 s
% 46.05/7.48  % Vampire exiting
%------------------------------------------------------------------------------