Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP270_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 11:32:49 AM UTC 2026

% Result   : Theorem 11.57s 4.71s
% Output   : Refutation 23.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   38 (  23 unt;   0 typ;   1 def)
%            Number of atoms       :   67 (  14 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   59 (  30   ~;  20   |;   5   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :  439 ( 438 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  873 ( 871 usr;   2 prp; 0-5 aty)
%            Number of functors    : 3420 (3420 usr; 760 con; 0-8 aty)
%            Number of variables   :   21 (   0 sgn  21   !;   0   ?;  21   :)

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

tff(type_def_6,type,
    produc1260151622200656695at_nat: $tType ).

tff(type_def_7,type,
    produc3739950874144486240at_nat: $tType ).

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

tff(type_def_9,type,
    fun_fu4800041728187187127nteger: $tType ).

tff(type_def_10,type,
    fun_Co1561183069634336733nteger: $tType ).

tff(type_def_11,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_12,type,
    fun_Pr1263128411319240110enat_o: $tType ).

tff(type_def_13,type,
    fun_fu1950632212952468284_rat_o: $tType ).

tff(type_def_14,type,
    list_P5464809261938338413at_nat: $tType ).

tff(type_def_15,type,
    produc2703417854250991842on_num: $tType ).

tff(type_def_16,type,
    produc7004362771917097900on_nat: $tType ).

tff(type_def_17,type,
    fun_Pr2477239776880934807at_nat: $tType ).

tff(type_def_18,type,
    set_Pr4329608150637261639at_nat: $tType ).

tff(type_def_19,type,
    fun_Pr5876161306168176259nteger: $tType ).

tff(type_def_20,type,
    fun_fu4638078822479986034_int_o: $tType ).

tff(type_def_21,type,
    fun_fu6699046866436802030_int_o: $tType ).

tff(type_def_22,type,
    produc6121120109295599847at_nat: $tType ).

tff(type_def_23,type,
    fun_op1221328669798608686_nat_o: $tType ).

tff(type_def_24,type,
    produc50614890452615238on_num: $tType ).

tff(type_def_25,type,
    produc1615844007061411358on_nat: $tType ).

tff(type_def_26,type,
    produc3843707927480180839at_nat: $tType ).

tff(type_def_27,type,
    fun_Pr8877776288780692068_nat_o: $tType ).

tff(type_def_28,type,
    fun_fu3064074204415222357nt_int: $tType ).

tff(type_def_29,type,
    fun_na1668100129766719005at_nat: $tType ).

tff(type_def_30,type,
    fun_fu9045186299510176150at_o_o: $tType ).

tff(type_def_31,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_32,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_33,type,
    fun_fu5235757188046002187enat_o: $tType ).

tff(type_def_34,type,
    fun_fu1584491925252458057omplex: $tType ).

tff(type_def_35,type,
    fun_fu7016404721254394507enat_o: $tType ).

tff(type_def_36,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_37,type,
    fun_fu3593947265352647275omplex: $tType ).

tff(type_def_38,type,
    fun_fu6910828598506988974real_o: $tType ).

tff(type_def_39,type,
    fun_fu7523448966510524487plex_o: $tType ).

tff(type_def_40,type,
    fun_fu6925816717872577647plex_o: $tType ).

tff(type_def_41,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_42,type,
    fun_fu7677565902479959693_rat_o: $tType ).

tff(type_def_43,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_44,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_45,type,
    fun_fu6810213084838398785t_real: $tType ).

tff(type_def_46,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_47,type,
    fun_fu805630362171458961t_real: $tType ).

tff(type_def_48,type,
    fun_fu1620311477532340197t_real: $tType ).

tff(type_def_49,type,
    fun_op7653269905477231939_num_o: $tType ).

tff(type_def_50,type,
    fun_op7326680082016885773_nat_o: $tType ).

tff(type_def_51,type,
    fun_op5373868528577402299_nat_o: $tType ).

tff(type_def_52,type,
    fun_op3832135881594366065_nat_o: $tType ).

tff(type_def_53,type,
    fun_fu8391177546919232046_nat_o: $tType ).

tff(type_def_54,type,
    fun_Pr4799464687642144302_num_o: $tType ).

tff(type_def_55,type,
    fun_Pr2028404973800837934_nat_o: $tType ).

tff(type_def_56,type,
    fun_Pr9018117161326028078_int_o: $tType ).

tff(type_def_57,type,
    fun_fu3711856879280950809l_real: $tType ).

tff(type_def_58,type,
    fun_fu5533088652784741581real_o: $tType ).

tff(type_def_59,type,
    fun_fu8047470260750595855t_real: $tType ).

tff(type_def_60,type,
    fun_fu6579618355643354601at_rat: $tType ).

tff(type_def_61,type,
    fun_fu5304001865264412401at_rat: $tType ).

tff(type_def_62,type,
    fun_fu5935951186182374353at_nat: $tType ).

tff(type_def_63,type,
    fun_fu960360787657196261at_int: $tType ).

tff(type_def_64,type,
    fun_fu4902120768161409089at_int: $tType ).

tff(type_def_65,type,
    fun_fu6652553491520710942omplex: $tType ).

tff(type_def_66,type,
    fun_co3194742168270691230omplex: $tType ).

tff(type_def_67,type,
    fun_Co8502721031311864414nteger: $tType ).

tff(type_def_68,type,
    fun_fu5587483295140630005real_o: $tType ).

tff(type_def_69,type,
    fun_fu8387170092758243159at_nat: $tType ).

tff(type_def_70,type,
    fun_fu6813129056075673441_nat_o: $tType ).

tff(type_def_71,type,
    fun_fu4228744305898656589_int_o: $tType ).

tff(type_def_72,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_73,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_74,type,
    fun_fu1617006900395023197t_real: $tType ).

tff(type_def_75,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_76,type,
    fun_fu9090758901314268781nt_o_o: $tType ).

tff(type_def_77,type,
    fun_fu4528473944208963392omplex: $tType ).

tff(type_def_78,type,
    fun_fu1806770557662746761_nat_o: $tType ).

tff(type_def_79,type,
    fun_fu7714913403879666293_int_o: $tType ).

tff(type_def_80,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_81,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_82,type,
    fun_fu5354524256550068955t_real: $tType ).

tff(type_def_83,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_84,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_85,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_86,type,
    fun_fu1590586450949517859at_nat: $tType ).

tff(type_def_87,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_88,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_89,type,
    fun_fu6196024946523381971eger_o: $tType ).

tff(type_def_90,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_91,type,
    fun_fu8064956510386623256t_real: $tType ).

tff(type_def_92,type,
    fun_fu7336479014630192387t_real: $tType ).

tff(type_def_93,type,
    fun_re7819166435457029784t_real: $tType ).

tff(type_def_94,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_95,type,
    fun_na5060536216179792737_nat_o: $tType ).

tff(type_def_96,type,
    fun_fu263853427677366787at_rat: $tType ).

tff(type_def_97,type,
    fun_fu7075445697382584196_int_o: $tType ).

tff(type_def_98,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_99,type,
    fun_fu4710970720072501148at_rat: $tType ).

tff(type_def_100,type,
    fun_fu6228432884689642900at_rat: $tType ).

tff(type_def_101,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_102,type,
    fun_fu1567874110255095356at_int: $tType ).

tff(type_def_103,type,
    fun_fu5519318738670804632at_int: $tType ).

tff(type_def_104,type,
    fun_ra2740371568465858076at_rat: $tType ).

tff(type_def_105,type,
    fun_in281396392327853336at_int: $tType ).

tff(type_def_106,type,
    fun_co6147893885205795665omplex: $tType ).

tff(type_def_107,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_108,type,
    fun_fu7981297689148232565al_o_o: $tType ).

tff(type_def_109,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_110,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_111,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_112,type,
    fun_fu734372843349436973enat_o: $tType ).

tff(type_def_113,type,
    fun_fu746971108421118025t_real: $tType ).

tff(type_def_114,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_115,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_116,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_117,type,
    fun_fu1505430369442770905enat_o: $tType ).

tff(type_def_118,type,
    fun_fu6860062128333554421at_rat: $tType ).

tff(type_def_119,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_120,type,
    fun_fu2990765671291504771ex_rat: $tType ).

tff(type_def_121,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_122,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_123,type,
    fun_fu4846507671440591850_rat_o: $tType ).

tff(type_def_124,type,
    fun_fu5908277796454533188_int_o: $tType ).

tff(type_def_125,type,
    fun_fu6714665071556184448_rat_o: $tType ).

tff(type_def_126,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_127,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_128,type,
    produc3447558737645232053on_num: $tType ).

tff(type_def_129,type,
    produc4953844613479565601on_nat: $tType ).

tff(type_def_130,type,
    fun_fu6344110373156359337l_real: $tType ).

tff(type_def_131,type,
    fun_fu4168831735773172575er_o_o: $tType ).

tff(type_def_132,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_133,type,
    fun_op493924057549976310_num_o: $tType ).

tff(type_def_134,type,
    fun_op167334234089630144_nat_o: $tType ).

tff(type_def_135,type,
    fun_op6120599277751319488_num_o: $tType ).

tff(type_def_136,type,
    fun_op5794009454290973322_nat_o: $tType ).

tff(type_def_137,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_138,type,
    fun_fu3594690983434520489t_real: $tType ).

tff(type_def_139,type,
    fun_Pr4738963024209204295_int_o: $tType ).

tff(type_def_140,type,
    fun_Pr7537129237977221859_rat_o: $tType ).

tff(type_def_141,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_142,type,
    fun_fu806425790188207109plex_o: $tType ).

tff(type_def_143,type,
    fun_fu3043978019632300333x_real: $tType ).

tff(type_def_144,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_145,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_146,type,
    fun_fu4781654129426620053omplex: $tType ).

tff(type_def_147,type,
    fun_fu9148622857633396327enat_o: $tType ).

tff(type_def_148,type,
    fun_op8028897214545316308_nat_o: $tType ).

tff(type_def_149,type,
    fun_Co6226381647958292740nteger: $tType ).

tff(type_def_150,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_151,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_152,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_153,type,
    fun_fu2497916604042137945plex_o: $tType ).

tff(type_def_154,type,
    fun_fu4396998534562958809ex_rat: $tType ).

tff(type_def_155,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_156,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_157,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_158,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_159,type,
    set_li5450038453877631591at_nat: $tType ).

tff(type_def_160,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_161,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_162,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_163,type,
    fun_fu3737244727311182119al_int: $tType ).

tff(type_def_164,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_165,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_166,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_167,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_168,type,
    fun_li7366011709773453460_nat_o: $tType ).

tff(type_def_169,type,
    fun_li1025265955262268170_nat_o: $tType ).

tff(type_def_170,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_171,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_172,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_173,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_174,type,
    fun_Pr7716844367077540446plex_o: $tType ).

tff(type_def_175,type,
    fun_na5873943405026509934VEBT_o: $tType ).

tff(type_def_176,type,
    fun_VE2962686792283380846VEBT_o: $tType ).

tff(type_def_177,type,
    produc7272778201969148633d_enat: $tType ).

tff(type_def_178,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_179,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_180,type,
    fun_fu4512855384587262995at_int: $tType ).

tff(type_def_181,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_182,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_183,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_184,type,
    fun_fu6415725884910174923nt_int: $tType ).

tff(type_def_185,type,
    fun_ra3995598502166916815at_rat: $tType ).

tff(type_def_186,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_187,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_188,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_189,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_190,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_191,type,
    fun_in1521351555827773387at_int: $tType ).

tff(type_def_192,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_193,type,
    fun_fu1358370060594899587plex_o: $tType ).

tff(type_def_194,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_195,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_196,type,
    fun_na4030263931958639548enat_o: $tType ).

tff(type_def_197,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_198,type,
    fun_fu4478067837645853357l_real: $tType ).

tff(type_def_199,type,
    fun_fu7564235448449272366at_o_o: $tType ).

tff(type_def_200,type,
    fun_fu6971708032831053102nt_o_o: $tType ).

tff(type_def_201,type,
    fun_Pr672294278902479040t_real: $tType ).

tff(type_def_202,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_203,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_204,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_205,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_206,type,
    fun_fu6510078244439976541real_o: $tType ).

tff(type_def_207,type,
    fun_fu5551332503302594393al_rat: $tType ).

tff(type_def_208,type,
    fun_fu2707946803925496145al_nat: $tType ).

tff(type_def_209,type,
    fun_ra4503298312962071866nt_int: $tType ).

tff(type_def_210,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_211,type,
    fun_Pr7647638413817135296at_int: $tType ).

tff(type_def_212,type,
    fun_Pr1652463973008025892nt_rat: $tType ).

tff(type_def_213,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_214,type,
    fun_in4514472496968388910at_nat: $tType ).

tff(type_def_215,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_216,type,
    fun_na819858167508000762st_nat: $tType ).

tff(type_def_217,type,
    fun_fu6621322437453427393_nat_o: $tType ).

tff(type_def_218,type,
    fun_fu1771228864347509049real_o: $tType ).

tff(type_def_219,type,
    fun_fu4185471554550717449_int_o: $tType ).

tff(type_def_220,type,
    fun_fu7030473000426307245t_real: $tType ).

tff(type_def_221,type,
    fun_re8658731967611918585t_real: $tType ).

tff(type_def_222,type,
    fun_na2418085665696872764plex_o: $tType ).

tff(type_def_223,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_224,type,
    fun_nu2537414170016844299nteger: $tType ).

tff(type_def_225,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_226,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_227,type,
    fun_fu7145897819039579925_nat_o: $tType ).

tff(type_def_228,type,
    fun_fu3162257917499486297at_rat: $tType ).

tff(type_def_229,type,
    fun_fu3473604023002724957_int_o: $tType ).

tff(type_def_230,type,
    fun_fu3922030663826099033nt_rat: $tType ).

tff(type_def_231,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_232,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_233,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_234,type,
    fun_Pr4814023175418636514real_o: $tType ).

tff(type_def_235,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_236,type,
    list_P1726324292696863441at_num: $tType ).

tff(type_def_237,type,
    list_P6011104703257516679at_nat: $tType ).

tff(type_def_238,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_239,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_240,type,
    fun_op7883857814936610463d_enat: $tType ).

tff(type_def_241,type,
    fun_Ex621978932285409945on_nat: $tType ).

tff(type_def_242,type,
    set_Pr1261947904930325089at_nat: $tType ).

tff(type_def_243,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_244,type,
    fun_fu9050450510664235267real_o: $tType ).

tff(type_def_245,type,
    fun_VE3165209603783583043T_VEBT: $tType ).

tff(type_def_246,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_247,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_248,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_249,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_250,type,
    fun_na7306406234920378942_int_o: $tType ).

tff(type_def_251,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_252,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_253,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_254,type,
    fun_na8563630686737515764_nat_o: $tType ).

tff(type_def_255,type,
    fun_in4891666191172872833eger_o: $tType ).

tff(type_def_256,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_257,type,
    fun_fu4001317426178549763_nat_o: $tType ).

tff(type_def_258,type,
    fun_fu3883539188510166275_int_o: $tType ).

tff(type_def_259,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_260,type,
    fun_op5246294523634652747omplex: $tType ).

tff(type_def_261,type,
    fun_Ex3703362190075743318nteger: $tType ).

tff(type_def_262,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_263,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_264,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_265,type,
    list_P3795440434834930179_o_int: $tType ).

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

tff(type_def_267,type,
    produc334124729049499915VEBT_o: $tType ).

tff(type_def_268,type,
    produc2504756804600209347T_VEBT: $tType ).

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

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

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

tff(type_def_272,type,
    fun_list_VEBT_VEBT_o: $tType ).

tff(type_def_273,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_274,type,
    produc6271795597528267376eger_o: $tType ).

tff(type_def_275,type,
    fun_set_nat_complex: $tType ).

tff(type_def_276,type,
    fun_rat_fun_nat_rat: $tType ).

tff(type_def_277,type,
    fun_option_nat_real: $tType ).

tff(type_def_278,type,
    fun_num_fun_num_num: $tType ).

tff(type_def_279,type,
    fun_num_fun_num_int: $tType ).

tff(type_def_280,type,
    fun_nat_fun_rat_rat: $tType ).

tff(type_def_281,type,
    fun_nat_fun_nat_rat: $tType ).

tff(type_def_282,type,
    fun_nat_fun_nat_nat: $tType ).

tff(type_def_283,type,
    fun_nat_fun_nat_int: $tType ).

tff(type_def_284,type,
    fun_nat_fun_list_o_o: $tType ).

tff(type_def_285,type,
    fun_nat_fun_int_int: $tType ).

tff(type_def_286,type,
    fun_int_fun_nat_int: $tType ).

tff(type_def_287,type,
    fun_int_fun_int_rat: $tType ).

tff(type_def_288,type,
    fun_int_fun_int_int: $tType ).

tff(type_def_289,type,
    fun_co8153928105989009288nteger: $tType ).

tff(type_def_290,type,
    fun_na1554462459066888140plex_o: $tType ).

tff(type_def_291,type,
    set_li5464603477888414924d_enat: $tType ).

tff(type_def_292,type,
    fun_option_nat_nat: $tType ).

tff(type_def_293,type,
    fun_num_option_num: $tType ).

tff(type_def_294,type,
    fun_nat_option_num: $tType ).

tff(type_def_295,type,
    fun_li827083013690791791enat_o: $tType ).

tff(type_def_296,type,
    fun_Ex3741802288643809319omplex: $tType ).

tff(type_def_297,type,
    fun_co6496365337113880337d_enat: $tType ).

tff(type_def_298,type,
    fun_se8123728892507317397enat_o: $tType ).

tff(type_def_299,type,
    fun_fun_real_real_o: $tType ).

tff(type_def_300,type,
    fun_real_fun_real_o: $tType ).

tff(type_def_301,type,
    product_prod_num_num: $tType ).

tff(type_def_302,type,
    product_prod_nat_num: $tType ).

tff(type_def_303,type,
    product_prod_nat_nat: $tType ).

tff(type_def_304,type,
    product_prod_int_int: $tType ).

tff(type_def_305,type,
    list_P4002435161011370285od_o_o: $tType ).

tff(type_def_306,type,
    fun_set_nat_real: $tType ).

tff(type_def_307,type,
    fun_re6978948838062957830nteger: $tType ).

tff(type_def_308,type,
    fun_nat_list_nat: $tType ).

tff(type_def_309,type,
    set_list_complex: $tType ).

tff(type_def_310,type,
    fun_VEBT_VEBT_nat: $tType ).

tff(type_def_311,type,
    fun_nat_fun_real_o: $tType ).

tff(type_def_312,type,
    fun_list_complex_o: $tType ).

tff(type_def_313,type,
    fun_set_nat_nat: $tType ).

tff(type_def_314,type,
    fun_num_Code_integer: $tType ).

tff(type_def_315,type,
    fun_nat_set_nat: $tType ).

tff(type_def_316,type,
    fun_nat_Code_integer: $tType ).

tff(type_def_317,type,
    fun_int_Code_integer: $tType ).

tff(type_def_318,type,
    fun_complex_complex: $tType ).

tff(type_def_319,type,
    fun_Code_integer_num: $tType ).

tff(type_def_320,type,
    fun_Code_integer_nat: $tType ).

tff(type_def_321,type,
    fun_Code_integer_int: $tType ).

tff(type_def_322,type,
    list_option_nat: $tType ).

tff(type_def_323,type,
    fun_fun_nat_rat_o: $tType ).

tff(type_def_324,type,
    fun_fun_int_int_o: $tType ).

tff(type_def_325,type,
    fun_set_complex_o: $tType ).

tff(type_def_326,type,
    fun_re6065469302365115155d_enat: $tType ).

tff(type_def_327,type,
    fun_rat_fun_rat_o: $tType ).

tff(type_def_328,type,
    fun_Pr1792556611952799308t_real: $tType ).

tff(type_def_329,type,
    fun_num_fun_num_o: $tType ).

tff(type_def_330,type,
    fun_nat_fun_nat_o: $tType ).

tff(type_def_331,type,
    fun_nat_fun_int_o: $tType ).

tff(type_def_332,type,
    fun_int_fun_int_o: $tType ).

tff(type_def_333,type,
    fun_Ex1451620480498224165t_real: $tType ).

tff(type_def_334,type,
    set_option_nat: $tType ).

tff(type_def_335,type,
    fun_option_num_o: $tType ).

tff(type_def_336,type,
    fun_option_nat_o: $tType ).

tff(type_def_337,type,
    fun_na8797796813480665199d_enat: $tType ).

tff(type_def_338,type,
    fun_in5914218760682845459d_enat: $tType ).

tff(type_def_339,type,
    fun_Ex4152069839811072081at_rat: $tType ).

tff(type_def_340,type,
    fun_Ex8368542335153306515at_num: $tType ).

tff(type_def_341,type,
    fun_Ex7660298398204468809at_nat: $tType ).

tff(type_def_342,type,
    fun_Ex3482447378695272101at_int: $tType ).

tff(type_def_343,type,
    list_VEBT_VEBT: $tType ).

tff(type_def_344,type,
    fun_real_complex: $tType ).

tff(type_def_345,type,
    fun_complex_real: $tType ).

tff(type_def_346,type,
    set_list_nat: $tType ).

tff(type_def_347,type,
    set_list_int: $tType ).

tff(type_def_348,type,
    product_prod_o_nat: $tType ).

tff(type_def_349,type,
    product_prod_o_int: $tType ).

tff(type_def_350,type,
    list_set_nat: $tType ).

tff(type_def_351,type,
    fun_set_real_o: $tType ).

tff(type_def_352,type,
    fun_list_nat_o: $tType ).

tff(type_def_353,type,
    fun_list_int_o: $tType ).

tff(type_def_354,type,
    set_VEBT_VEBT: $tType ).

tff(type_def_355,type,
    fun_fun_real_o_o: $tType ).

tff(type_def_356,type,
    fun_VEBT_VEBT_o: $tType ).

tff(type_def_357,type,
    fun_nat_complex: $tType ).

tff(type_def_358,type,
    fun_int_complex: $tType ).

tff(type_def_359,type,
    fun_complex_rat: $tType ).

tff(type_def_360,type,
    fun_complex_num: $tType ).

tff(type_def_361,type,
    fun_complex_nat: $tType ).

tff(type_def_362,type,
    fun_complex_int: $tType ).

tff(type_def_363,type,
    set_set_nat: $tType ).

tff(type_def_364,type,
    fun_set_rat_o: $tType ).

tff(type_def_365,type,
    fun_set_num_o: $tType ).

tff(type_def_366,type,
    fun_set_nat_o: $tType ).

tff(type_def_367,type,
    fun_set_int_o: $tType ).

tff(type_def_368,type,
    fun_Code_integer_o: $tType ).

tff(type_def_369,type,
    list_Extended_enat: $tType ).

tff(type_def_370,type,
    fun_nat_fun_o_o: $tType ).

tff(type_def_371,type,
    set_Extended_enat: $tType ).

tff(type_def_372,type,
    fun_char_nat: $tType ).

tff(type_def_373,type,
    fun_real_real: $tType ).

tff(type_def_374,type,
    fun_nat_char: $tType ).

tff(type_def_375,type,
    fun_Extended_enat_o: $tType ).

tff(type_def_376,type,
    fun_real_rat: $tType ).

tff(type_def_377,type,
    fun_real_num: $tType ).

tff(type_def_378,type,
    fun_real_nat: $tType ).

tff(type_def_379,type,
    fun_real_int: $tType ).

tff(type_def_380,type,
    fun_rat_real: $tType ).

tff(type_def_381,type,
    fun_num_real: $tType ).

tff(type_def_382,type,
    fun_nat_real: $tType ).

tff(type_def_383,type,
    fun_int_real: $tType ).

tff(type_def_384,type,
    list_complex: $tType ).

tff(type_def_385,type,
    set_list_o: $tType ).

tff(type_def_386,type,
    product_prod_o_o: $tType ).

tff(type_def_387,type,
    fun_rat_rat: $tType ).

tff(type_def_388,type,
    fun_rat_num: $tType ).

tff(type_def_389,type,
    fun_rat_nat: $tType ).

tff(type_def_390,type,
    fun_rat_int: $tType ).

tff(type_def_391,type,
    fun_num_rat: $tType ).

tff(type_def_392,type,
    fun_num_num: $tType ).

tff(type_def_393,type,
    fun_num_nat: $tType ).

tff(type_def_394,type,
    fun_num_int: $tType ).

tff(type_def_395,type,
    fun_nat_rat: $tType ).

tff(type_def_396,type,
    fun_nat_num: $tType ).

tff(type_def_397,type,
    fun_nat_nat: $tType ).

tff(type_def_398,type,
    fun_nat_int: $tType ).

tff(type_def_399,type,
    fun_list_o_o: $tType ).

tff(type_def_400,type,
    fun_int_rat: $tType ).

tff(type_def_401,type,
    fun_int_num: $tType ).

tff(type_def_402,type,
    fun_int_nat: $tType ).

tff(type_def_403,type,
    fun_int_int: $tType ).

tff(type_def_404,type,
    set_complex: $tType ).

tff(type_def_405,type,
    filter_real: $tType ).

tff(type_def_406,type,
    fun_complex_o: $tType ).

tff(type_def_407,type,
    option_num: $tType ).

tff(type_def_408,type,
    option_nat: $tType ).

tff(type_def_409,type,
    filter_nat: $tType ).

tff(type_def_410,type,
    filter_int: $tType ).

tff(type_def_411,type,
    fun_o_fun_o_o: $tType ).

tff(type_def_412,type,
    set_char: $tType ).

tff(type_def_413,type,
    list_real: $tType ).

tff(type_def_414,type,
    set_real: $tType ).

tff(type_def_415,type,
    list_num: $tType ).

tff(type_def_416,type,
    list_nat: $tType ).

tff(type_def_417,type,
    list_int: $tType ).

tff(type_def_418,type,
    fun_real_o: $tType ).

tff(type_def_419,type,
    vEBT_VEBT: $tType ).

tff(type_def_420,type,
    set_rat: $tType ).

tff(type_def_421,type,
    set_num: $tType ).

tff(type_def_422,type,
    set_nat: $tType ).

tff(type_def_423,type,
    set_int: $tType ).

tff(type_def_424,type,
    code_integer: $tType ).

tff(type_def_425,type,
    fun_rat_o: $tType ).

tff(type_def_426,type,
    fun_num_o: $tType ).

tff(type_def_427,type,
    fun_nat_o: $tType ).

tff(type_def_428,type,
    fun_int_o: $tType ).

tff(type_def_429,type,
    fun_o_int: $tType ).

tff(type_def_430,type,
    product_unit: $tType ).

tff(type_def_431,type,
    extended_enat: $tType ).

tff(type_def_432,type,
    list_o: $tType ).

tff(type_def_433,type,
    complex: $tType ).

tff(type_def_434,type,
    literal: $tType ).

tff(type_def_435,type,
    set_o: $tType ).

tff(type_def_436,type,
    fun_o_o: $tType ).

tff(type_def_437,type,
    char: $tType ).

tff(type_def_438,type,
    real: $tType ).

tff(type_def_439,type,
    rat: $tType ).

tff(type_def_440,type,
    num: $tType ).

tff(type_def_441,type,
    nat: $tType ).

tff(type_def_442,type,
    int: $tType ).

tff(func_def_0,type,
    aTP_Lamm_a: set_option_nat > fun_option_nat_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_real_real ).

tff(func_def_7,type,
    aTP_Lamm_ag: fun_rat_rat ).

tff(func_def_8,type,
    aTP_Lamm_ah: fun_nat_nat ).

tff(func_def_9,type,
    aTP_Lamm_ai: fun_int_int ).

tff(func_def_10,type,
    aTP_Lamm_aj: vEBT_VEBT > fun_nat_fun_nat_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: vEBT_VEBT > fun_nat_fun_nat_o ).

tff(func_def_12,type,
    aTP_Lamm_al: fun_re4238438383274954274t_real ).

tff(func_def_13,type,
    aTP_Lamm_am: complex > fun_nat_complex ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_re4238438383274954274t_real ).

tff(func_def_15,type,
    aTP_Lamm_ao: rat > fun_nat_rat ).

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_int_nat > fun_int_int ).

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

tff(func_def_20,type,
    aTP_Lamm_at: fun_nat_nat > fun_nat_real ).

tff(func_def_21,type,
    aTP_Lamm_au: fun_nat_nat > fun_nat_rat ).

tff(func_def_22,type,
    aTP_Lamm_av: fun_nat_nat > fun_nat_int ).

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

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

tff(func_def_25,type,
    aTP_Lamm_ay: fun_nat_int > fun_nat_complex ).

tff(func_def_26,type,
    aTP_Lamm_az: fun_nat_int > fun_nat_rat ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_nat_int > fun_nat_int ).

tff(func_def_28,type,
    aTP_Lamm_bb: fun_int_int > fun_int_real ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_int_int > fun_int_complex ).

tff(func_def_30,type,
    aTP_Lamm_bd: fun_int_int > fun_int_rat ).

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

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

tff(func_def_33,type,
    aTP_Lamm_bg: fun_nat_real > fun_nat_real ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_real > fun_nat_real ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_nat_rat > fun_nat_rat ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_nat_int > fun_nat_int ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_nat_nat > fun_nat_nat ).

tff(func_def_38,type,
    aTP_Lamm_bl: complex > fun_nat_complex ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_re4238438383274954274t_real ).

tff(func_def_40,type,
    aTP_Lamm_bn: rat > fun_nat_rat ).

tff(func_def_41,type,
    aTP_Lamm_bo: int > fun_nat_int ).

tff(func_def_42,type,
    aTP_Lamm_bp: fun_nat_fun_nat_nat ).

tff(func_def_43,type,
    aTP_Lamm_bq: complex > fun_na1142814060743658952omplex ).

tff(func_def_44,type,
    aTP_Lamm_br: real > fun_nat_fun_nat_real ).

tff(func_def_45,type,
    aTP_Lamm_bs: rat > fun_nat_fun_nat_rat ).

tff(func_def_46,type,
    aTP_Lamm_bt: int > fun_nat_fun_nat_int ).

tff(func_def_47,type,
    aTP_Lamm_bu: nat > fun_nat_fun_nat_nat ).

tff(func_def_48,type,
    aTP_Lamm_bv: fun_nat_real > fun_nat_real ).

tff(func_def_49,type,
    aTP_Lamm_bw: fun_nat_rat > fun_nat_rat ).

tff(func_def_50,type,
    aTP_Lamm_bx: fun_nat_int > fun_nat_int ).

tff(func_def_51,type,
    aTP_Lamm_by: fun_nat_nat > fun_nat_nat ).

tff(func_def_52,type,
    aTP_Lamm_bz: fun_nat_real ).

tff(func_def_53,type,
    aTP_Lamm_ca: fun_nat_int ).

tff(func_def_54,type,
    aTP_Lamm_cb: fun_nat_real ).

tff(func_def_55,type,
    aTP_Lamm_cc: fun_int_int ).

tff(func_def_56,type,
    aTP_Lamm_cd: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_57,type,
    aTP_Lamm_ce: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_58,type,
    aTP_Lamm_cf: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_59,type,
    aTP_Lamm_cg: nat > fun_fu6899955116716589935t_real ).

tff(func_def_60,type,
    aTP_Lamm_ch: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_61,type,
    aTP_Lamm_ci: nat > fun_fu8464300013002972271at_int ).

tff(func_def_62,type,
    aTP_Lamm_cj: real > fun_fu6899955116716589935t_real ).

tff(func_def_63,type,
    aTP_Lamm_ck: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_64,type,
    aTP_Lamm_cl: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_65,type,
    aTP_Lamm_cm: fun_re4238438383274954274t_real ).

tff(func_def_66,type,
    aTP_Lamm_cn: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_67,type,
    aTP_Lamm_co: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_68,type,
    aTP_Lamm_cp: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_69,type,
    aTP_Lamm_cq: fun_nat_complex > fun_co8378349014452122532t_real ).

tff(func_def_70,type,
    aTP_Lamm_cr: fun_nat_int > fun_nat_int ).

tff(func_def_71,type,
    aTP_Lamm_cs: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_72,type,
    aTP_Lamm_ct: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_73,type,
    aTP_Lamm_cu: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_74,type,
    aTP_Lamm_cv: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_75,type,
    aTP_Lamm_cw: fun_nat_complex > fun_nat_real ).

tff(func_def_76,type,
    aTP_Lamm_cx: fun_nat_real > fun_nat_real ).

tff(func_def_77,type,
    aTP_Lamm_cy: fun_nat_real > fun_nat_real ).

tff(func_def_78,type,
    aTP_Lamm_cz: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_79,type,
    aTP_Lamm_da: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_80,type,
    aTP_Lamm_db: real > fun_fu7631928937237476593t_real ).

tff(func_def_81,type,
    aTP_Lamm_dc: complex > fun_na1591161823130732966omplex ).

tff(func_def_82,type,
    aTP_Lamm_dd: real > fun_na6724076748692969250l_real ).

tff(func_def_83,type,
    aTP_Lamm_de: rat > fun_nat_fun_rat_rat ).

tff(func_def_84,type,
    aTP_Lamm_df: int > fun_nat_fun_int_int ).

tff(func_def_85,type,
    aTP_Lamm_dg: nat > fun_nat_fun_nat_nat ).

tff(func_def_86,type,
    aTP_Lamm_dh: fun_complex_complex ).

tff(func_def_87,type,
    aTP_Lamm_di: fun_complex_nat > fun_complex_complex ).

tff(func_def_88,type,
    aTP_Lamm_dj: fun_complex_int > fun_complex_complex ).

tff(func_def_89,type,
    aTP_Lamm_dk: real > fun_fu3077872570260440615l_real ).

tff(func_def_90,type,
    aTP_Lamm_dl: int > fun_fu121957152452960295t_real ).

tff(func_def_91,type,
    aTP_Lamm_dm: complex > fun_fu7714627026455246123x_real ).

tff(func_def_92,type,
    aTP_Lamm_dn: extended_enat > fun_fu7336479014630192387t_real ).

tff(func_def_93,type,
    aTP_Lamm_do: real > fun_fu2598743018846156927al_rat ).

tff(func_def_94,type,
    aTP_Lamm_dp: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_95,type,
    aTP_Lamm_dq: int > fun_fu1008360527747082367nt_rat ).

tff(func_def_96,type,
    aTP_Lamm_dr: complex > fun_fu2990765671291504771ex_rat ).

tff(func_def_97,type,
    aTP_Lamm_ds: extended_enat > fun_fu263853427677366787at_rat ).

tff(func_def_98,type,
    aTP_Lamm_dt: real > fun_fu3214020956574444655al_nat ).

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

tff(func_def_100,type,
    aTP_Lamm_dv: int > fun_fu121957152452960295t_real ).

tff(func_def_101,type,
    aTP_Lamm_dw: complex > fun_fu7714627026455246123x_real ).

tff(func_def_102,type,
    aTP_Lamm_dx: extended_enat > fun_fu7336479014630192387t_real ).

tff(func_def_103,type,
    aTP_Lamm_dy: real > fun_fu2598743018846156927al_rat ).

tff(func_def_104,type,
    aTP_Lamm_dz: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_105,type,
    aTP_Lamm_ea: int > fun_fu1008360527747082367nt_rat ).

tff(func_def_106,type,
    aTP_Lamm_eb: complex > fun_fu2990765671291504771ex_rat ).

tff(func_def_107,type,
    aTP_Lamm_ec: extended_enat > fun_fu263853427677366787at_rat ).

tff(func_def_108,type,
    aTP_Lamm_ed: real > fun_fu3214020956574444655al_nat ).

tff(func_def_109,type,
    aTP_Lamm_ee: fun_int_int > fun_int_int ).

tff(func_def_110,type,
    aTP_Lamm_ef: set_nat > fun_fu6899955116716589935t_real ).

tff(func_def_111,type,
    aTP_Lamm_eg: set_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_112,type,
    aTP_Lamm_eh: set_nat > fun_fu8464300013002972271at_int ).

tff(func_def_113,type,
    aTP_Lamm_ei: fun_nat_o > fun_fu6899955116716589935t_real ).

tff(func_def_114,type,
    aTP_Lamm_ej: fun_nat_o > fun_fu7002938529518989751at_nat ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_nat_o > fun_fu8464300013002972271at_int ).

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

tff(func_def_117,type,
    aTP_Lamm_em: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_complex_complex > fun_complex_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_real_real > fun_real_o ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_int_real > fun_int_o ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_complex_real > fun_complex_o ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_Ex1451620480498224165t_real > fun_Extended_enat_o ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_real_rat > fun_real_o ).

tff(func_def_126,type,
    aTP_Lamm_ev: fun_int_rat > fun_int_o ).

tff(func_def_127,type,
    aTP_Lamm_ew: fun_complex_rat > fun_complex_o ).

tff(func_def_128,type,
    aTP_Lamm_ex: fun_Ex4152069839811072081at_rat > fun_Extended_enat_o ).

tff(func_def_129,type,
    aTP_Lamm_ey: fun_real_nat > fun_real_o ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_int_nat > fun_int_o ).

tff(func_def_131,type,
    aTP_Lamm_fa: set_real > fun_fu9050450510664235267real_o ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_real_real > fun_fu4478067837645853357l_real ).

tff(func_def_133,type,
    aTP_Lamm_fc: set_int > fun_fu3883539188510166275_int_o ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_int_real > fun_fu7030473000426307245t_real ).

tff(func_def_135,type,
    aTP_Lamm_fe: set_complex > fun_fu1358370060594899587plex_o ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_complex_real > fun_fu3043978019632300333x_real ).

tff(func_def_137,type,
    aTP_Lamm_fg: set_Extended_enat > fun_fu9148622857633396327enat_o ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_Ex1451620480498224165t_real > fun_fu746971108421118025t_real ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_real_rat > fun_fu5551332503302594393al_rat ).

tff(func_def_140,type,
    aTP_Lamm_fj: set_nat > fun_fu4001317426178549763_nat_o ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_nat_rat > fun_fu3162257917499486297at_rat ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_int_rat > fun_fu3922030663826099033nt_rat ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_complex_rat > fun_fu4396998534562958809ex_rat ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_Ex4152069839811072081at_rat > fun_fu6860062128333554421at_rat ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_real_nat > fun_fu2707946803925496145al_nat ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_nat_nat > fun_nat_fun_nat_o ).

tff(func_def_148,type,
    aTP_Lamm_fr: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_149,type,
    aTP_Lamm_fs: set_Pr1261947904930325089at_nat > fun_na5060536216179792737_nat_o ).

tff(func_def_150,type,
    aTP_Lamm_ft: set_Extended_enat > fun_na4030263931958639548enat_o ).

tff(func_def_151,type,
    aTP_Lamm_fu: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_152,type,
    aTP_Lamm_fv: set_o > fun_nat_fun_list_o_o ).

tff(func_def_153,type,
    aTP_Lamm_fw: set_int > fun_na7306406234920378942_int_o ).

tff(func_def_154,type,
    aTP_Lamm_fx: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_155,type,
    aTP_Lamm_fy: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_156,type,
    aTP_Lamm_fz: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_157,type,
    aTP_Lamm_ga: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_158,type,
    aTP_Lamm_gb: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_159,type,
    aTP_Lamm_gc: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_160,type,
    aTP_Lamm_gd: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_161,type,
    aTP_Lamm_ge: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_162,type,
    aTP_Lamm_gf: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_163,type,
    aTP_Lamm_gg: set_Extended_enat > fun_fu734372843349436973enat_o ).

tff(func_def_164,type,
    aTP_Lamm_gh: set_Extended_enat > fun_fu5235757188046002187enat_o ).

tff(func_def_165,type,
    aTP_Lamm_gi: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_166,type,
    aTP_Lamm_gj: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_167,type,
    aTP_Lamm_gk: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_168,type,
    aTP_Lamm_gl: set_nat > fun_fu1806770557662746761_nat_o ).

tff(func_def_169,type,
    aTP_Lamm_gm: set_int > fun_fu3473604023002724957_int_o ).

tff(func_def_170,type,
    aTP_Lamm_gn: set_int > fun_fu7714913403879666293_int_o ).

tff(func_def_171,type,
    aTP_Lamm_go: set_complex > fun_fu2497916604042137945plex_o ).

tff(func_def_172,type,
    aTP_Lamm_gp: set_complex > fun_fu6925816717872577647plex_o ).

tff(func_def_173,type,
    aTP_Lamm_gq: set_Extended_enat > fun_fu1505430369442770905enat_o ).

tff(func_def_174,type,
    aTP_Lamm_gr: set_Extended_enat > fun_fu7016404721254394507enat_o ).

tff(func_def_175,type,
    aTP_Lamm_gs: complex > fun_na1142814060743658952omplex ).

tff(func_def_176,type,
    aTP_Lamm_gt: rat > fun_nat_fun_nat_rat ).

tff(func_def_177,type,
    aTP_Lamm_gu: int > fun_nat_fun_nat_int ).

tff(func_def_178,type,
    aTP_Lamm_gv: real > fun_nat_fun_nat_real ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_nat_fun_nat_o ).

tff(func_def_180,type,
    aTP_Lamm_gx: fun_nat_rat > fun_nat_rat ).

tff(func_def_181,type,
    aTP_Lamm_gy: fun_nat_int > fun_nat_int ).

tff(func_def_182,type,
    aTP_Lamm_gz: fun_nat_real > fun_nat_real ).

tff(func_def_183,type,
    aTP_Lamm_ha: nat > fun_real_o ).

tff(func_def_184,type,
    aTP_Lamm_hb: nat > fun_complex_o ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_190,type,
    aTP_Lamm_hh: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_194,type,
    aTP_Lamm_hl: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_195,type,
    aTP_Lamm_hm: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_int_rat > fun_fu1008360527747082367nt_rat ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_real_int > fun_fu3737244727311182119al_int ).

tff(func_def_198,type,
    aTP_Lamm_hp: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_199,type,
    aTP_Lamm_hq: fun_nat_rat > fun_nat_rat ).

tff(func_def_200,type,
    aTP_Lamm_hr: fun_nat_int > fun_nat_int ).

tff(func_def_201,type,
    aTP_Lamm_hs: fun_nat_real > fun_nat_real ).

tff(func_def_202,type,
    aTP_Lamm_ht: fun_nat_rat > fun_nat_rat ).

tff(func_def_203,type,
    aTP_Lamm_hu: fun_nat_int > fun_nat_int ).

tff(func_def_204,type,
    aTP_Lamm_hv: fun_nat_real > fun_nat_real ).

tff(func_def_205,type,
    aTP_Lamm_hw: fun_nat_fun_nat_o ).

tff(func_def_206,type,
    aTP_Lamm_hx: fun_nat_rat > fun_nat_rat ).

tff(func_def_207,type,
    aTP_Lamm_hy: fun_nat_int > fun_nat_int ).

tff(func_def_208,type,
    aTP_Lamm_hz: fun_nat_nat > fun_nat_nat ).

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

tff(func_def_210,type,
    aTP_Lamm_ib: fun_nat_nat ).

tff(func_def_211,type,
    aTP_Lamm_ic: complex > fun_co3258106519541737638omplex ).

tff(func_def_212,type,
    aTP_Lamm_id: rat > fun_rat_fun_nat_rat ).

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

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

tff(func_def_215,type,
    aTP_Lamm_ig: real > fun_re4238438383274954274t_real ).

tff(func_def_216,type,
    aTP_Lamm_ih: nat > fun_nat_fun_nat_nat ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_nat_fun_nat_o ).

tff(func_def_218,type,
    aTP_Lamm_ij: complex > fun_co6883864892131739507omplex ).

tff(func_def_219,type,
    aTP_Lamm_ik: complex > fun_co6883864892131739507omplex ).

tff(func_def_220,type,
    aTP_Lamm_il: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_221,type,
    aTP_Lamm_im: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_222,type,
    aTP_Lamm_in: real > fun_re4756235295228751087t_real ).

tff(func_def_223,type,
    aTP_Lamm_io: real > fun_re4756235295228751087t_real ).

tff(func_def_224,type,
    aTP_Lamm_ip: nat > fun_nat_complex ).

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

tff(func_def_226,type,
    aTP_Lamm_ir: nat > fun_nat_int ).

tff(func_def_227,type,
    aTP_Lamm_is: nat > fun_nat_real ).

tff(func_def_228,type,
    aTP_Lamm_it: int > fun_int_fun_int_o ).

tff(func_def_229,type,
    aTP_Lamm_iu: int > fun_int_fun_int_o ).

tff(func_def_230,type,
    aTP_Lamm_iv: nat > fun_co1148497455491383662plex_o ).

tff(func_def_231,type,
    aTP_Lamm_iw: int > fun_int_fun_int_o ).

tff(func_def_232,type,
    aTP_Lamm_ix: int > fun_int_fun_int_o ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_real > fun_nat_complex ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_complex_real > fun_complex_complex ).

tff(func_def_235,type,
    aTP_Lamm_ja: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_236,type,
    aTP_Lamm_jb: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_237,type,
    aTP_Lamm_jc: set_nat > fun_set_nat_o ).

tff(func_def_238,type,
    aTP_Lamm_jd: fun_rat_fun_rat_o ).

tff(func_def_239,type,
    aTP_Lamm_je: fun_num_fun_num_o ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_int_fun_int_o ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_real_fun_real_o ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_real_fun_real_o ).

tff(func_def_243,type,
    aTP_Lamm_ji: set_nat > fun_set_nat_o ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_rat_fun_rat_o ).

tff(func_def_245,type,
    aTP_Lamm_jk: fun_num_fun_num_o ).

tff(func_def_246,type,
    aTP_Lamm_jl: fun_int_fun_int_o ).

tff(func_def_247,type,
    aTP_Lamm_jm: fun_complex_complex ).

tff(func_def_248,type,
    aTP_Lamm_jn: real > fun_fu3106432010075488275t_real ).

tff(func_def_249,type,
    aTP_Lamm_jo: complex > fun_fu4781654129426620053omplex ).

tff(func_def_250,type,
    aTP_Lamm_jp: int > fun_fu4512855384587262995at_int ).

tff(func_def_251,type,
    aTP_Lamm_jq: int > fun_fu6415725884910174923nt_int ).

tff(func_def_252,type,
    aTP_Lamm_jr: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_253,type,
    aTP_Lamm_js: fun_option_nat_nat > fun_fu8387170092758243159at_nat ).

tff(func_def_254,type,
    aTP_Lamm_jt: fun_set_nat_nat > fun_fu1590586450949517859at_nat ).

tff(func_def_255,type,
    aTP_Lamm_ju: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_256,type,
    aTP_Lamm_jv: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_257,type,
    aTP_Lamm_jw: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_258,type,
    aTP_Lamm_jx: fun_int_fun_int_o ).

tff(func_def_259,type,
    aTP_Lamm_jy: fun_nat_complex > fun_co3194742168270691230omplex ).

tff(func_def_260,type,
    aTP_Lamm_jz: nat > fun_fu1584491925252458057omplex ).

tff(func_def_261,type,
    aTP_Lamm_ka: fun_nat_rat > fun_ra2740371568465858076at_rat ).

tff(func_def_262,type,
    aTP_Lamm_kb: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_263,type,
    aTP_Lamm_kc: fun_nat_int > fun_in281396392327853336at_int ).

tff(func_def_264,type,
    aTP_Lamm_kd: nat > fun_fu4902120768161409089at_int ).

tff(func_def_265,type,
    aTP_Lamm_ke: fun_nat_real > fun_re7819166435457029784t_real ).

tff(func_def_266,type,
    aTP_Lamm_kf: nat > fun_fu6810213084838398785t_real ).

tff(func_def_267,type,
    aTP_Lamm_kg: fun_nat_rat > fun_nat_rat ).

tff(func_def_268,type,
    aTP_Lamm_kh: fun_nat_int > fun_nat_int ).

tff(func_def_269,type,
    aTP_Lamm_ki: fun_nat_real > fun_nat_real ).

tff(func_def_270,type,
    aTP_Lamm_kj: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_271,type,
    aTP_Lamm_kk: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_272,type,
    aTP_Lamm_kl: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_273,type,
    aTP_Lamm_km: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_274,type,
    aTP_Lamm_kn: nat > fun_nat_fun_nat_nat ).

tff(func_def_275,type,
    aTP_Lamm_ko: fun_nat_complex > fun_co6883864892131739507omplex ).

tff(func_def_276,type,
    aTP_Lamm_kp: nat > fun_fu1584491925252458057omplex ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_nat_rat > fun_ra5513060666784058567at_rat ).

tff(func_def_278,type,
    aTP_Lamm_kr: nat > fun_fu5304001865264412401at_rat ).

tff(func_def_279,type,
    aTP_Lamm_ks: fun_nat_int > fun_in6793278964266839919at_int ).

tff(func_def_280,type,
    aTP_Lamm_kt: nat > fun_fu4902120768161409089at_int ).

tff(func_def_281,type,
    aTP_Lamm_ku: fun_nat_real > fun_re4756235295228751087t_real ).

tff(func_def_282,type,
    aTP_Lamm_kv: nat > fun_fu6810213084838398785t_real ).

tff(func_def_283,type,
    aTP_Lamm_kw: fun_option_nat_real > fun_fu8047470260750595855t_real ).

tff(func_def_284,type,
    aTP_Lamm_kx: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_285,type,
    aTP_Lamm_ky: fun_set_nat_real > fun_fu5354524256550068955t_real ).

tff(func_def_286,type,
    aTP_Lamm_kz: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_287,type,
    aTP_Lamm_la: fun_op5246294523634652747omplex > fun_fu805630362171458961t_real ).

tff(func_def_288,type,
    aTP_Lamm_lb: fun_real_complex > fun_fu6344110373156359337l_real ).

tff(func_def_289,type,
    aTP_Lamm_lc: fun_set_nat_complex > fun_fu1617006900395023197t_real ).

tff(func_def_290,type,
    aTP_Lamm_ld: fun_int_complex > fun_fu3594690983434520489t_real ).

tff(func_def_291,type,
    aTP_Lamm_le: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_292,type,
    aTP_Lamm_lf: fun_nat_complex > fun_fu7631928937237476593t_real ).

tff(func_def_293,type,
    aTP_Lamm_lg: nat > fun_na3244735409550470327at_nat ).

tff(func_def_294,type,
    aTP_Lamm_lh: fun_option_nat_real > fun_option_nat_real ).

tff(func_def_295,type,
    aTP_Lamm_li: fun_real_real > fun_real_real ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_set_nat_real > fun_set_nat_real ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_int_real > fun_int_real ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_complex_real > fun_complex_real ).

tff(func_def_299,type,
    aTP_Lamm_lm: fun_Pr672294278902479040t_real > fun_Pr672294278902479040t_real ).

tff(func_def_300,type,
    aTP_Lamm_ln: fun_Ex1451620480498224165t_real > fun_Ex1451620480498224165t_real ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_nat_real > fun_nat_real ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_nat_complex > fun_na1554462459066888140plex_o ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_nat_real > fun_nat_fun_real_o ).

tff(func_def_304,type,
    aTP_Lamm_lr: complex > fun_co6883864892131739507omplex ).

tff(func_def_305,type,
    aTP_Lamm_ls: complex > fun_co6883864892131739507omplex ).

tff(func_def_306,type,
    aTP_Lamm_lt: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_307,type,
    aTP_Lamm_lu: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_308,type,
    aTP_Lamm_lv: int > fun_in6793278964266839919at_int ).

tff(func_def_309,type,
    aTP_Lamm_lw: int > fun_in6793278964266839919at_int ).

tff(func_def_310,type,
    aTP_Lamm_lx: real > fun_re4756235295228751087t_real ).

tff(func_def_311,type,
    aTP_Lamm_ly: real > fun_re4756235295228751087t_real ).

tff(func_def_312,type,
    aTP_Lamm_lz: complex > fun_na6632006986671646835omplex ).

tff(func_def_313,type,
    aTP_Lamm_ma: rat > fun_na1148497095348402375at_rat ).

tff(func_def_314,type,
    aTP_Lamm_mb: int > fun_na2382631619178260847at_int ).

tff(func_def_315,type,
    aTP_Lamm_mc: real > fun_na5225841814499866095t_real ).

tff(func_def_316,type,
    aTP_Lamm_md: complex > fun_na6632006986671646835omplex ).

tff(func_def_317,type,
    aTP_Lamm_me: rat > fun_na1148497095348402375at_rat ).

tff(func_def_318,type,
    aTP_Lamm_mf: int > fun_na2382631619178260847at_int ).

tff(func_def_319,type,
    aTP_Lamm_mg: real > fun_na5225841814499866095t_real ).

tff(func_def_320,type,
    aTP_Lamm_mh: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_321,type,
    aTP_Lamm_mi: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_322,type,
    aTP_Lamm_mj: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_323,type,
    aTP_Lamm_mk: fun_nat_fun_nat_nat ).

tff(func_def_324,type,
    aTP_Lamm_ml: fun_nat_complex > fun_fu4528473944208963392omplex ).

tff(func_def_325,type,
    aTP_Lamm_mm: fun_nat_complex > fun_fu6652553491520710942omplex ).

tff(func_def_326,type,
    aTP_Lamm_mn: fun_nat_rat > fun_fu6228432884689642900at_rat ).

tff(func_def_327,type,
    aTP_Lamm_mo: fun_nat_rat > fun_fu4710970720072501148at_rat ).

tff(func_def_328,type,
    aTP_Lamm_mp: fun_nat_int > fun_fu1567874110255095356at_int ).

tff(func_def_329,type,
    aTP_Lamm_mq: fun_nat_int > fun_fu5519318738670804632at_int ).

tff(func_def_330,type,
    aTP_Lamm_mr: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_331,type,
    aTP_Lamm_ms: fun_nat_real > fun_fu8064956510386623256t_real ).

tff(func_def_332,type,
    aTP_Lamm_mt: complex > fun_na1142814060743658952omplex ).

tff(func_def_333,type,
    aTP_Lamm_mu: rat > fun_nat_fun_nat_rat ).

tff(func_def_334,type,
    aTP_Lamm_mv: int > fun_nat_fun_nat_int ).

tff(func_def_335,type,
    aTP_Lamm_mw: real > fun_nat_fun_nat_real ).

tff(func_def_336,type,
    aTP_Lamm_mx: complex > fun_co6883864892131739507omplex ).

tff(func_def_337,type,
    aTP_Lamm_my: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_338,type,
    aTP_Lamm_mz: int > fun_in6793278964266839919at_int ).

tff(func_def_339,type,
    aTP_Lamm_na: real > fun_re4756235295228751087t_real ).

tff(func_def_340,type,
    aTP_Lamm_nb: complex > fun_co6883864892131739507omplex ).

tff(func_def_341,type,
    aTP_Lamm_nc: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_342,type,
    aTP_Lamm_nd: int > fun_in6793278964266839919at_int ).

tff(func_def_343,type,
    aTP_Lamm_ne: real > fun_re4756235295228751087t_real ).

tff(func_def_344,type,
    aTP_Lamm_nf: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_345,type,
    aTP_Lamm_ng: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_346,type,
    aTP_Lamm_nh: nat > fun_fu960360787657196261at_int ).

tff(func_def_347,type,
    aTP_Lamm_ni: nat > fun_fu960360787657196261at_int ).

tff(func_def_348,type,
    aTP_Lamm_nj: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_349,type,
    aTP_Lamm_nk: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_350,type,
    aTP_Lamm_nl: nat > fun_fu1620311477532340197t_real ).

tff(func_def_351,type,
    aTP_Lamm_nm: nat > fun_fu1620311477532340197t_real ).

tff(func_def_352,type,
    aTP_Lamm_nn: nat > fun_fu3593947265352647275omplex ).

tff(func_def_353,type,
    aTP_Lamm_no: nat > fun_fu3593947265352647275omplex ).

tff(func_def_354,type,
    aTP_Lamm_np: nat > fun_fu1620311477532340197t_real ).

tff(func_def_355,type,
    aTP_Lamm_nq: nat > fun_fu6579618355643354601at_rat ).

tff(func_def_356,type,
    aTP_Lamm_nr: nat > fun_fu960360787657196261at_int ).

tff(func_def_357,type,
    aTP_Lamm_ns: nat > fun_fu5935951186182374353at_nat ).

tff(func_def_358,type,
    aTP_Lamm_nt: fun_nat_fun_nat_nat ).

tff(func_def_359,type,
    aTP_Lamm_nu: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_360,type,
    aTP_Lamm_nv: fun_nat_real > fun_nat_real ).

tff(func_def_361,type,
    aTP_Lamm_nw: fun_nat_real > fun_nat_real ).

tff(func_def_362,type,
    aTP_Lamm_nx: nat > fun_in1521351555827773387at_int ).

tff(func_def_363,type,
    aTP_Lamm_ny: nat > fun_co6147893885205795665omplex ).

tff(func_def_364,type,
    aTP_Lamm_nz: nat > fun_Co8502721031311864414nteger ).

tff(func_def_365,type,
    aTP_Lamm_oa: nat > fun_ra3995598502166916815at_rat ).

tff(func_def_366,type,
    aTP_Lamm_ob: nat > fun_re8542384036533109323t_real ).

tff(func_def_367,type,
    aTP_Lamm_oc: nat > fun_nat_Code_integer ).

tff(func_def_368,type,
    aTP_Lamm_od: nat > fun_nat_complex ).

tff(func_def_369,type,
    aTP_Lamm_oe: nat > fun_nat_rat ).

tff(func_def_370,type,
    aTP_Lamm_of: nat > fun_nat_int ).

tff(func_def_371,type,
    aTP_Lamm_og: nat > fun_nat_real ).

tff(func_def_372,type,
    aTP_Lamm_oh: nat > fun_nat_Code_integer ).

tff(func_def_373,type,
    aTP_Lamm_oi: nat > fun_nat_complex ).

tff(func_def_374,type,
    aTP_Lamm_oj: nat > fun_nat_rat ).

tff(func_def_375,type,
    aTP_Lamm_ok: nat > fun_nat_int ).

tff(func_def_376,type,
    aTP_Lamm_ol: nat > fun_nat_real ).

tff(func_def_377,type,
    aTP_Lamm_om: nat > fun_nat_complex ).

tff(func_def_378,type,
    aTP_Lamm_on: nat > fun_nat_rat ).

tff(func_def_379,type,
    aTP_Lamm_oo: nat > fun_nat_int ).

tff(func_def_380,type,
    aTP_Lamm_op: nat > fun_nat_real ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_nat_real ).

tff(func_def_382,type,
    aTP_Lamm_or: complex > fun_nat_complex ).

tff(func_def_383,type,
    aTP_Lamm_os: rat > fun_nat_rat ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_re4238438383274954274t_real ).

tff(func_def_385,type,
    aTP_Lamm_ou: complex > fun_nat_complex ).

tff(func_def_386,type,
    aTP_Lamm_ov: rat > fun_nat_rat ).

tff(func_def_387,type,
    aTP_Lamm_ow: fun_re4238438383274954274t_real ).

tff(func_def_388,type,
    aTP_Lamm_ox: fun_re4238438383274954274t_real ).

tff(func_def_389,type,
    aTP_Lamm_oy: real > fun_fu6899955116716589935t_real ).

tff(func_def_390,type,
    aTP_Lamm_oz: fun_re4238438383274954274t_real ).

tff(func_def_391,type,
    aTP_Lamm_pa: fun_re4238438383274954274t_real ).

tff(func_def_392,type,
    aTP_Lamm_pb: fun_re4238438383274954274t_real ).

tff(func_def_393,type,
    aTP_Lamm_pc: fun_nat_real ).

tff(func_def_394,type,
    aTP_Lamm_pd: fun_nat_real > fun_nat_real ).

tff(func_def_395,type,
    aTP_Lamm_pe: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_396,type,
    aTP_Lamm_pf: fun_re4238438383274954274t_real ).

tff(func_def_397,type,
    aTP_Lamm_pg: num > fun_na4138050610385705875at_nat ).

tff(func_def_398,type,
    aTP_Lamm_ph: num > fun_in1696471567231710611nt_int ).

tff(func_def_399,type,
    aTP_Lamm_pi: fun_na4138050610385705875at_nat ).

tff(func_def_400,type,
    aTP_Lamm_pj: nat > fun_nat_complex ).

tff(func_def_401,type,
    aTP_Lamm_pk: fun_int_fun_int_int ).

tff(func_def_402,type,
    aTP_Lamm_pl: int > fun_int_fun_int_o ).

tff(func_def_403,type,
    aTP_Lamm_pm: int > fun_int_fun_int_o ).

tff(func_def_404,type,
    aTP_Lamm_pn: complex > fun_na1554462459066888140plex_o ).

tff(func_def_405,type,
    aTP_Lamm_po: fun_nat_fun_nat_o ).

tff(func_def_406,type,
    aTP_Lamm_pp: fun_real_fun_real_o ).

tff(func_def_407,type,
    aTP_Lamm_pq: fun_real_fun_real_o ).

tff(func_def_408,type,
    aTP_Lamm_pr: fun_real_o ).

tff(func_def_409,type,
    aTP_Lamm_ps: fun_real_fun_real_o ).

tff(func_def_410,type,
    aTP_Lamm_pt: fun_real_o ).

tff(func_def_411,type,
    aTP_Lamm_pu: complex > fun_real_o ).

tff(func_def_412,type,
    aTP_Lamm_pv: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_413,type,
    aTP_Lamm_pw: num > fun_Co2470855966376689427nteger ).

tff(func_def_414,type,
    aTP_Lamm_px: fun_Co1092983284983208416er_int ).

tff(func_def_415,type,
    aTP_Lamm_py: fun_Co8521658056209057742er_num ).

tff(func_def_416,type,
    aTP_Lamm_pz: nat > fun_nat_fun_nat_o ).

tff(func_def_417,type,
    aTP_Lamm_qa: fun_Co3583066429914935172er_nat ).

tff(func_def_418,type,
    aTP_Lamm_qb: int > fun_int_int ).

tff(func_def_419,type,
    aTP_Lamm_qc: fun_nat_fun_nat_nat ).

tff(func_def_420,type,
    aTP_Lamm_qd: fun_nat_o ).

tff(func_def_421,type,
    aTP_Lamm_qe: fun_nat_o ).

tff(func_def_422,type,
    aTP_Lamm_qf: set_nat > fun_nat_fun_nat_o ).

tff(func_def_423,type,
    aTP_Lamm_qg: set_nat > fun_nat_fun_nat_o ).

tff(func_def_424,type,
    aTP_Lamm_qh: fun_nat_fun_nat_nat ).

tff(func_def_425,type,
    aTP_Lamm_qi: fun_nat_fun_nat_nat ).

tff(func_def_426,type,
    aTP_Lamm_qj: real > fun_int_o ).

tff(func_def_427,type,
    aTP_Lamm_qk: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_428,type,
    aTP_Lamm_ql: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_429,type,
    aTP_Lamm_qm: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_430,type,
    aTP_Lamm_qn: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_431,type,
    aTP_Lamm_qo: nat > fun_na4143055713577223196at_nat ).

tff(func_def_432,type,
    aTP_Lamm_qp: fun_na1668100129766719005at_nat ).

tff(func_def_433,type,
    aTP_Lamm_qq: fun_na4138050610385705875at_nat ).

tff(func_def_434,type,
    aTP_Lamm_qr: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_435,type,
    aTP_Lamm_qs: fun_na5914473681949881652_nat_o ).

tff(func_def_436,type,
    aTP_Lamm_qt: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_437,type,
    aTP_Lamm_qu: fun_na5914473681949881652_nat_o ).

tff(func_def_438,type,
    aTP_Lamm_qv: nat > fun_na4143055713577223196at_nat ).

tff(func_def_439,type,
    aTP_Lamm_qw: fun_na1668100129766719005at_nat ).

tff(func_def_440,type,
    aTP_Lamm_qx: nat > fun_na4143055713577223196at_nat ).

tff(func_def_441,type,
    aTP_Lamm_qy: fun_na1668100129766719005at_nat ).

tff(func_def_442,type,
    aTP_Lamm_qz: fun_int_nat ).

tff(func_def_443,type,
    aTP_Lamm_ra: fun_nat_set_nat ).

tff(func_def_444,type,
    aTP_Lamm_rb: fun_nat_real > fun_nat_real ).

tff(func_def_445,type,
    aTP_Lamm_rc: nat > fun_na8563630686737515764_nat_o ).

tff(func_def_446,type,
    aTP_Lamm_rd: fun_nat_fun_nat_nat ).

tff(func_def_447,type,
    aTP_Lamm_re: fun_na6724076748692969250l_real ).

tff(func_def_448,type,
    aTP_Lamm_rf: fun_real_real ).

tff(func_def_449,type,
    aTP_Lamm_rg: fun_re4238438383274954274t_real ).

tff(func_def_450,type,
    aTP_Lamm_rh: fun_na6724076748692969250l_real ).

tff(func_def_451,type,
    aTP_Lamm_ri: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_452,type,
    aTP_Lamm_rj: fun_re7681423839302404990l_real ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_455,type,
    aTP_Lamm_rm: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_456,type,
    aTP_Lamm_rn: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_nat_real > fun_real_real ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_461,type,
    aTP_Lamm_rs: real > fun_fu5589980185390252312t_real ).

tff(func_def_462,type,
    aTP_Lamm_rt: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_463,type,
    aTP_Lamm_ru: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_464,type,
    aTP_Lamm_rv: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_465,type,
    aTP_Lamm_rw: nat > fun_fu3612569900928539882l_real ).

tff(func_def_466,type,
    aTP_Lamm_rx: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_467,type,
    aTP_Lamm_ry: fun_real_real ).

tff(func_def_468,type,
    aTP_Lamm_rz: fun_nat_real > fun_nat_real ).

tff(func_def_469,type,
    aTP_Lamm_sa: fun_nat_fun_nat_nat ).

tff(func_def_470,type,
    aTP_Lamm_sb: fun_nat_real ).

tff(func_def_471,type,
    aTP_Lamm_sc: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_472,type,
    aTP_Lamm_sd: fun_nat_real > fun_nat_real ).

tff(func_def_473,type,
    aTP_Lamm_se: fun_nat_real ).

tff(func_def_474,type,
    aTP_Lamm_sf: fun_re4238438383274954274t_real ).

tff(func_def_475,type,
    aTP_Lamm_sg: fun_nat_real ).

tff(func_def_476,type,
    aTP_Lamm_sh: fun_re4238438383274954274t_real ).

tff(func_def_477,type,
    aTP_Lamm_si: real > fun_re4238438383274954274t_real ).

tff(func_def_478,type,
    aTP_Lamm_sj: fun_re4238438383274954274t_real ).

tff(func_def_479,type,
    aTP_Lamm_sk: fun_re4238438383274954274t_real ).

tff(func_def_480,type,
    aTP_Lamm_sl: fun_re4238438383274954274t_real ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_re4238438383274954274t_real ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_483,type,
    aTP_Lamm_so: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_484,type,
    aTP_Lamm_sp: fun_nat_real > fun_nat_real ).

tff(func_def_485,type,
    aTP_Lamm_sq: fun_nat_real > fun_nat_real ).

tff(func_def_486,type,
    aTP_Lamm_sr: fun_nat_real > fun_nat_real ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_re7681423839302404990l_real ).

tff(func_def_488,type,
    aTP_Lamm_st: nat > fun_fu3077872570260440615l_real ).

tff(func_def_489,type,
    aTP_Lamm_su: fun_in1696471567231710611nt_int ).

tff(func_def_490,type,
    aTP_Lamm_sv: int > fun_in5570076352459579423_int_o ).

tff(func_def_491,type,
    aTP_Lamm_sw: rat > fun_int_fun_int_o ).

tff(func_def_492,type,
    aTP_Lamm_sx: int > fun_in5570076352459579423_int_o ).

tff(func_def_493,type,
    aTP_Lamm_sy: rat > fun_int_fun_int_o ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_real_real ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_na6724076748692969250l_real ).

tff(func_def_496,type,
    aTP_Lamm_tb: fun_real_real > fun_real_o ).

tff(func_def_497,type,
    aTP_Lamm_tc: fun_real_real > fun_fu3022329567491847689real_o ).

tff(func_def_498,type,
    aTP_Lamm_td: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_real_o > fun_real_fun_real_o ).

tff(func_def_500,type,
    aTP_Lamm_tf: real > fun_real_fun_real_o ).

tff(func_def_501,type,
    aTP_Lamm_tg: fun_real_o > fun_real_o ).

tff(func_def_502,type,
    aTP_Lamm_th: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_503,type,
    aTP_Lamm_ti: fun_real_real > fun_real_real ).

tff(func_def_504,type,
    aTP_Lamm_tj: int > fun_int_fun_int_o ).

tff(func_def_505,type,
    aTP_Lamm_tk: fun_nat_fun_nat_o ).

tff(func_def_506,type,
    aTP_Lamm_tl: nat > fun_nat_fun_nat_o ).

tff(func_def_507,type,
    aTP_Lamm_tm: fun_nat_fun_nat_nat ).

tff(func_def_508,type,
    aTP_Lamm_tn: fun_real_real > fun_nat_real ).

tff(func_def_509,type,
    aTP_Lamm_to: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_510,type,
    aTP_Lamm_tp: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_511,type,
    aTP_Lamm_tq: set_int > fun_int_o ).

tff(func_def_512,type,
    aTP_Lamm_tr: num > fun_num_int ).

tff(func_def_513,type,
    aTP_Lamm_ts: fun_num_option_num ).

tff(func_def_514,type,
    aTP_Lamm_tt: num > fun_nat_option_num ).

tff(func_def_515,type,
    aTP_Lamm_tu: fun_nat_option_num ).

tff(func_def_516,type,
    aTP_Lamm_tv: num > fun_nat_option_num ).

tff(func_def_517,type,
    aTP_Lamm_tw: fun_num_option_num ).

tff(func_def_518,type,
    aTP_Lamm_tx: nat > fun_num_option_num ).

tff(func_def_519,type,
    aTP_Lamm_ty: nat > fun_num_option_num ).

tff(func_def_520,type,
    aTP_Lamm_tz: num > fun_nat_option_num ).

tff(func_def_521,type,
    aTP_Lamm_ua: fun_na7595719129879163854on_num ).

tff(func_def_522,type,
    aTP_Lamm_ub: fun_real_o ).

tff(func_def_523,type,
    aTP_Lamm_uc: fun_real_o ).

tff(func_def_524,type,
    aTP_Lamm_ud: fun_nat_fun_nat_nat ).

tff(func_def_525,type,
    aTP_Lamm_ue: fun_nat_fun_nat_nat ).

tff(func_def_526,type,
    aTP_Lamm_uf: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_527,type,
    aTP_Lamm_ug: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_528,type,
    aTP_Lamm_uh: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_529,type,
    aTP_Lamm_ui: fun_nat_o > fun_nat_o ).

tff(func_def_530,type,
    aTP_Lamm_uj: set_real > fun_real_o ).

tff(func_def_531,type,
    aTP_Lamm_uk: fun_nat_fun_nat_nat ).

tff(func_def_532,type,
    aTP_Lamm_ul: fun_nat_nat ).

tff(func_def_533,type,
    aTP_Lamm_um: real > fun_real_fun_real_o ).

tff(func_def_534,type,
    aTP_Lamm_un: fun_re5512370375968561900l_real ).

tff(func_def_535,type,
    aTP_Lamm_uo: real > fun_co1148497455491383662plex_o ).

tff(func_def_536,type,
    aTP_Lamm_up: fun_re3844104906058862192omplex ).

tff(func_def_537,type,
    aTP_Lamm_uq: fun_Pr3238374608701176162_int_o ).

tff(func_def_538,type,
    aTP_Lamm_ur: fun_Pr2478283820680522243nt_int ).

tff(func_def_539,type,
    aTP_Lamm_us: fun_in1696471567231710611nt_int ).

tff(func_def_540,type,
    aTP_Lamm_ut: fun_num_fun_num_int ).

tff(func_def_541,type,
    aTP_Lamm_uu: fun_na1476630412504255114at_nat ).

tff(func_def_542,type,
    aTP_Lamm_uv: fun_fun_nat_rat_o ).

tff(func_def_543,type,
    aTP_Lamm_uw: fun_fu6579618355643354601at_rat ).

tff(func_def_544,type,
    aTP_Lamm_ux: fun_fu6579618355643354601at_rat ).

tff(func_def_545,type,
    aTP_Lamm_uy: fun_fu8328862064278946247at_rat ).

tff(func_def_546,type,
    aTP_Lamm_uz: fun_nat_rat ).

tff(func_def_547,type,
    aTP_Lamm_va: fun_nat_rat ).

tff(func_def_548,type,
    aTP_Lamm_vb: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_549,type,
    aTP_Lamm_vc: fun_na5914473681949881652_nat_o ).

tff(func_def_550,type,
    aTP_Lamm_vd: fun_nat_rat > fun_nat_rat ).

tff(func_def_551,type,
    aTP_Lamm_ve: fun_fu8328862064278946247at_rat ).

tff(func_def_552,type,
    aTP_Lamm_vf: rat > fun_nat_rat ).

tff(func_def_553,type,
    aTP_Lamm_vg: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_554,type,
    aTP_Lamm_vh: int > fun_nat_rat ).

tff(func_def_555,type,
    aTP_Lamm_vi: nat > fun_nat_rat ).

tff(func_def_556,type,
    aTP_Lamm_vj: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_557,type,
    aTP_Lamm_vk: fun_re7681423839302404990l_real ).

tff(func_def_558,type,
    aTP_Lamm_vl: rat > fun_Pr3238374608701176162_int_o ).

tff(func_def_559,type,
    aTP_Lamm_vm: extended_enat > fun_nat_o ).

tff(func_def_560,type,
    aTP_Lamm_vn: extended_enat > fun_nat_o ).

tff(func_def_561,type,
    aTP_Lamm_vo: real > fun_re8658731967611918585t_real ).

tff(func_def_562,type,
    aTP_Lamm_vp: nat > fun_nat_fun_nat_o ).

tff(func_def_563,type,
    aTP_Lamm_vq: nat > fun_nat_set_nat ).

tff(func_def_564,type,
    aTP_Lamm_vr: nat > fun_VE3165209603783583043T_VEBT ).

tff(func_def_565,type,
    aTP_Lamm_vs: set_Extended_enat > fun_Extended_enat_o ).

tff(func_def_566,type,
    aTP_Lamm_vt: nat > fun_na8797796813480665199d_enat ).

tff(func_def_567,type,
    aTP_Lamm_vu: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_568,type,
    aTP_Lamm_vv: nat > fun_na8797796813480665199d_enat ).

tff(func_def_569,type,
    aTP_Lamm_vw: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_570,type,
    aTP_Lamm_vx: nat > fun_na8797796813480665199d_enat ).

tff(func_def_571,type,
    aTP_Lamm_vy: extended_enat > fun_na8797796813480665199d_enat ).

tff(func_def_572,type,
    aTP_Lamm_vz: fun_na8797796813480665199d_enat ).

tff(func_def_573,type,
    aTP_Lamm_wa: nat > fun_nat_set_nat ).

tff(func_def_574,type,
    aTP_Lamm_wb: nat > fun_nat_fun_nat_o ).

tff(func_def_575,type,
    aTP_Lamm_wc: nat > fun_nat_set_nat ).

tff(func_def_576,type,
    aTP_Lamm_wd: fun_na819858167508000762st_nat ).

tff(func_def_577,type,
    archim2889992004027027881ng_rat: fun_rat_int ).

tff(func_def_578,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_579,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_580,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_581,type,
    archimedean_frac_rat: fun_rat_rat ).

tff(func_def_582,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_583,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_584,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_585,type,
    bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).

tff(func_def_586,type,
    bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).

tff(func_def_587,type,
    bNF_re6574881592172037608er_o_o: ( fun_in4891666191172872833eger_o * fun_o_fun_o_o ) > fun_fu4168831735773172575er_o_o ).

tff(func_def_588,type,
    bNF_re5089333283451836215nt_o_o: ( fun_int_fun_int_o * fun_o_fun_o_o ) > fun_fu6971708032831053102nt_o_o ).

tff(func_def_589,type,
    bNF_re6250860962936578807nt_int: ( fun_int_fun_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu6699046866436802030_int_o ).

tff(func_def_590,type,
    bNF_re2214769303045360666nt_rat: ( fun_int_fun_int_o * fun_Pr7537129237977221859_rat_o ) > fun_fu7677565902479959693_rat_o ).

tff(func_def_591,type,
    bNF_re4705727531993890431at_o_o: ( fun_nat_fun_nat_o * fun_o_fun_o_o ) > fun_fu7564235448449272366at_o_o ).

tff(func_def_592,type,
    bNF_re6501075790457514782nteger: ( fun_num_fun_num_o * fun_in4891666191172872833eger_o ) > fun_fu6196024946523381971eger_o ).

tff(func_def_593,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_o * fun_int_fun_int_o ) > fun_fu5908277796454533188_int_o ).

tff(func_def_594,type,
    bNF_re6644619430987730960nt_o_o: ( fun_Pr4738963024209204295_int_o * fun_o_fun_o_o ) > fun_fu9090758901314268781nt_o_o ).

tff(func_def_595,type,
    bNF_re7400052026677387805at_int: ( fun_Pr4738963024209204295_int_o * fun_Pr4738963024209204295_int_o ) > fun_fu4638078822479986034_int_o ).

tff(func_def_596,type,
    bNF_re3666534408544137501at_o_o: ( fun_Pr2028404973800837934_nat_o * fun_o_fun_o_o ) > fun_fu9045186299510176150at_o_o ).

tff(func_def_597,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > fun_fu3373238862511017284_nat_o ).

tff(func_def_598,type,
    bNF_re3218747500659316912al_o_o: ( fun_fu1771228864347509049real_o * fun_o_fun_o_o ) > fun_fu7981297689148232565al_o_o ).

tff(func_def_599,type,
    bNF_re237660433471117187t_real: ( fun_fu1771228864347509049real_o * fun_fu1771228864347509049real_o ) > fun_fu6910828598506988974real_o ).

tff(func_def_600,type,
    bNF_re9178625837396562677at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu6714665071556184448_rat_o ) > fun_fu1950632212952468284_rat_o ).

tff(func_def_601,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_602,type,
    gbinomial_complex: complex > fun_nat_complex ).

tff(func_def_603,type,
    gbinomial_int: int > fun_nat_int ).

tff(func_def_604,type,
    gbinomial_nat: fun_nat_fun_nat_nat ).

tff(func_def_605,type,
    gbinomial_rat: rat > fun_nat_rat ).

tff(func_def_606,type,
    gbinomial_real: fun_re4238438383274954274t_real ).

tff(func_def_607,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_608,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_609,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_610,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_611,type,
    bit_or_not_num_neg: fun_num_fun_num_num ).

tff(func_def_612,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_613,type,
    bit_ri7632146776885996613nteger: code_integer > code_integer ).

tff(func_def_614,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_615,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_616,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_617,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_618,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_619,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_620,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_621,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_622,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_623,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_624,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_625,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_626,type,
    bit_se1080825931792720795nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_627,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_628,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_629,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_630,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_631,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_632,type,
    bit_se7879613467334960850it_int: nat > fun_int_int ).

tff(func_def_633,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_634,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_635,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_636,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_637,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_638,type,
    bit_se4203085406695923979it_int: nat > fun_int_int ).

tff(func_def_639,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_640,type,
    bit_se3222712562003087583nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_641,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_642,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_643,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_644,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_645,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_646,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_647,type,
    bit_un5425074673868309765um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_648,type,
    bit_un2785000775030745342or_num: fun_num_fun_num_num ).

tff(func_def_649,type,
    bit_un6909899581280750971um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_650,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_651,type,
    bit_un3595099601533988841um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_652,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_653,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_654,type,
    bit_un6697907153464112080or_num: fun_num_fun_num_num ).

tff(func_def_655,type,
    bit_un4773296044027857193um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_656,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_657,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_658,type,
    code_Neg: num > code_integer ).

tff(func_def_659,type,
    code_Pos: num > code_integer ).

tff(func_def_660,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_661,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_662,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_663,type,
    code_dup: code_integer > code_integer ).

tff(func_def_664,type,
    code_int_of_integer: fun_Code_integer_int ).

tff(func_def_665,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_666,type,
    code_integer_of_nat: fun_nat_Code_integer ).

tff(func_def_667,type,
    code_integer_of_num: num > code_integer ).

tff(func_def_668,type,
    code_nat_of_integer: fun_Code_integer_nat ).

tff(func_def_669,type,
    code_num_of_integer: fun_Code_integer_num ).

tff(func_def_670,type,
    code_pcr_integer: fun_in4891666191172872833eger_o ).

tff(func_def_671,type,
    code_sub: fun_nu2537414170016844299nteger ).

tff(func_def_672,type,
    code_Target_negative: fun_num_int ).

tff(func_def_673,type,
    code_Target_positive: fun_num_int ).

tff(func_def_674,type,
    code_Target_Nat: fun_Code_integer_nat ).

tff(func_def_675,type,
    code_T6385005292777649522of_nat: fun_nat_int ).

tff(func_def_676,type,
    comple2295165028678016749d_enat: set_Extended_enat > extended_enat ).

tff(func_def_677,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_678,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_679,type,
    complete_Inf_Inf_int: set_int > int ).

tff(func_def_680,type,
    complete_Inf_Inf_nat: fun_set_nat_nat ).

tff(func_def_681,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_682,type,
    comple7806235888213564991et_nat: set_set_nat > set_nat ).

tff(func_def_683,type,
    comple4398354569131411667d_enat: set_Extended_enat > extended_enat ).

tff(func_def_684,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_685,type,
    complete_Sup_Sup_nat: fun_set_nat_nat ).

tff(func_def_686,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_687,type,
    arg: fun_complex_real ).

tff(func_def_688,type,
    cis: fun_real_complex ).

tff(func_def_689,type,
    cnj: fun_complex_complex ).

tff(func_def_690,type,
    complex2: real > fun_real_complex ).

tff(func_def_691,type,
    im: fun_complex_real ).

tff(func_def_692,type,
    re: fun_complex_real ).

tff(func_def_693,type,
    csqrt: fun_complex_complex ).

tff(func_def_694,type,
    imaginary_unit: complex ).

tff(func_def_695,type,
    rcis: real > fun_real_complex ).

tff(func_def_696,type,
    condit2214826472909112428ve_nat: fun_set_nat_o ).

tff(func_def_697,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_698,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_699,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_700,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_701,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_702,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_703,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_704,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_705,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_706,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_707,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_708,type,
    extended_eSuc: fun_Ex5852502975177633731d_enat ).

tff(func_def_709,type,
    extended_enat2: nat > extended_enat ).

tff(func_def_710,type,
    extended_Abs_enat: fun_op7883857814936610463d_enat ).

tff(func_def_711,type,
    extended_Rep_enat: fun_Ex621978932285409945on_nat ).

tff(func_def_712,type,
    extended_case_enat_o: ( fun_nat_o * $o ) > fun_Extended_enat_o ).

tff(func_def_713,type,
    extend3600170679010898289d_enat: ( fun_na8797796813480665199d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_714,type,
    extend5688581933313929465d_enat: extended_enat ).

tff(func_def_715,type,
    extended_the_enat: fun_Ex7660298398204468809at_nat ).

tff(func_def_716,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_717,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_718,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_719,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_720,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_721,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_722,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_723,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_724,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_725,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_726,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_727,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_728,type,
    at_bot_real: filter_real ).

tff(func_def_729,type,
    at_top_int: filter_int ).

tff(func_def_730,type,
    at_top_nat: filter_nat ).

tff(func_def_731,type,
    at_top_real: filter_real ).

tff(func_def_732,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_733,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_734,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_735,type,
    finite_card_o: set_o > nat ).

tff(func_def_736,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_737,type,
    finite_card_int: set_int > nat ).

tff(func_def_738,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_739,type,
    finite_card_nat: fun_set_nat_nat ).

tff(func_def_740,type,
    finite_card_set_nat: set_set_nat > nat ).

tff(func_def_741,type,
    finite_card_char: set_char > nat ).

tff(func_def_742,type,
    finite3207457112153483333omplex: fun_set_complex_o ).

tff(func_def_743,type,
    finite4001608067531595151d_enat: fun_se8123728892507317397enat_o ).

tff(func_def_744,type,
    finite_finite_int: fun_set_int_o ).

tff(func_def_745,type,
    finite_finite_nat: fun_set_nat_o ).

tff(func_def_746,type,
    finite_finite_num: fun_set_num_o ).

tff(func_def_747,type,
    finite_finite_rat: fun_set_rat_o ).

tff(func_def_748,type,
    finite_finite_real: fun_set_real_o ).

tff(func_def_749,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_o ).

tff(func_def_750,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_o ).

tff(func_def_751,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_o ).

tff(func_def_752,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_753,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_754,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_755,type,
    comp_nat_num_int: ( fun_nat_num * fun_int_nat ) > fun_int_num ).

tff(func_def_756,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_757,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_758,type,
    id_o: fun_o_o ).

tff(func_def_759,type,
    id_nat: fun_nat_nat ).

tff(func_def_760,type,
    id_num: fun_num_num ).

tff(func_def_761,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_762,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_o ).

tff(func_def_763,type,
    inj_on_real_real: fun_real_real > fun_set_real_o ).

tff(func_def_764,type,
    map_fu6539832666145259331at_nat: ( fun_Code_integer_int * fun_nat_nat * fun_int_nat ) > fun_Code_integer_nat ).

tff(func_def_765,type,
    map_fu1227494855608507351um_num: ( fun_Code_integer_int * fun_num_num * fun_int_num ) > fun_Code_integer_num ).

tff(func_def_766,type,
    map_fu4826362097070443709at_o_o: ( fun_in4514472496968388910at_nat * fun_o_o ) > fun_fu7075445697382584196_int_o ).

tff(func_def_767,type,
    map_fu2345160673673942751at_nat: ( fun_in4514472496968388910at_nat * fun_nat_nat * fun_Pr2602117396471556196at_nat ) > fun_int_nat ).

tff(func_def_768,type,
    map_fu3667384564859982768at_int: ( fun_in4514472496968388910at_nat * fun_Pr7647638413817135296at_int ) > fun_fu3064074204415222357nt_int ).

tff(func_def_769,type,
    map_fu3191548434056052140_int_o: ( fun_in4514472496968388910at_nat * fun_fu7075445697382584196_int_o * fun_Pr2028404973800837934_nat_o ) > fun_int_fun_int_o ).

tff(func_def_770,type,
    map_fu8294830438409148311nt_int: ( fun_in4514472496968388910at_nat * fun_fu3064074204415222357nt_int * fun_Pr2477239776880934807at_nat ) > fun_int_fun_int_int ).

tff(func_def_771,type,
    map_fu6290471996055670595nteger: ( fun_nat_nat * fun_int_Code_integer * fun_nat_int ) > fun_nat_Code_integer ).

tff(func_def_772,type,
    map_fu898904425404107465nt_o_o: ( fun_ra4503298312962071866nt_int * fun_o_o * fun_Pr3238374608701176162_int_o ) > fun_rat_o ).

tff(func_def_773,type,
    map_fu5673905371560938248nt_rat: ( fun_ra4503298312962071866nt_int * fun_Pr1652463973008025892nt_rat * fun_Pr2478283820680522243nt_int ) > fun_rat_rat ).

tff(func_def_774,type,
    map_fu6719675619867407465at_o_o: ( fun_real_fun_nat_rat * fun_o_o * fun_fun_nat_rat_o ) > fun_real_o ).

tff(func_def_775,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_776,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_777,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_778,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_779,type,
    fun_max_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_780,type,
    fun_max_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_781,type,
    fun_min_strict: set_Pr4329608150637261639at_nat ).

tff(func_def_782,type,
    fun_min_weak: set_Pr4329608150637261639at_nat ).

tff(func_def_783,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_784,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_785,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_786,type,
    gcd_Gcd_nat: fun_set_nat_nat ).

tff(func_def_787,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_788,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_789,type,
    gcd_gcd_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_790,type,
    gcd_gcd_int: fun_int_fun_int_int ).

tff(func_def_791,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_792,type,
    gcd_lcm_int: int > fun_int_int ).

tff(func_def_793,type,
    gcd_lcm_nat: fun_nat_fun_nat_nat ).

tff(func_def_794,type,
    gcd_nat_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_795,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_796,type,
    abs_abs_int: fun_int_int ).

tff(func_def_797,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_798,type,
    abs_abs_real: fun_real_real ).

tff(func_def_799,type,
    comm_monoid_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_800,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_801,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_802,type,
    minus_3235023915231533773d_enat: extended_enat > fun_Ex5852502975177633731d_enat ).

tff(func_def_803,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_804,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_805,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_806,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_807,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_808,type,
    minus_925952699566721837d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_809,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_810,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_811,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_812,type,
    monoid_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_813,type,
    one_one_Code_integer: code_integer ).

tff(func_def_814,type,
    one_one_complex: complex ).

tff(func_def_815,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_816,type,
    one_one_int: int ).

tff(func_def_817,type,
    one_one_nat: nat ).

tff(func_def_818,type,
    one_one_rat: rat ).

tff(func_def_819,type,
    one_one_real: real ).

tff(func_def_820,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_821,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_822,type,
    plus_p3455044024723400733d_enat: extended_enat > fun_Ex5852502975177633731d_enat ).

tff(func_def_823,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_824,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_825,type,
    plus_plus_num: fun_num_fun_num_num ).

tff(func_def_826,type,
    plus_plus_rat: rat > fun_rat_rat ).

tff(func_def_827,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_828,type,
    plus_plus_literal: ( literal * literal ) > literal ).

tff(func_def_829,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_830,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_831,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_832,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_833,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_834,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_835,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_836,type,
    times_7803423173614009249d_enat: extended_enat > fun_Ex5852502975177633731d_enat ).

tff(func_def_837,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_838,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_839,type,
    times_times_num: fun_num_fun_num_num ).

tff(func_def_840,type,
    times_times_rat: rat > fun_rat_rat ).

tff(func_def_841,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_842,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_843,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_844,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_845,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_846,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_847,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_848,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_849,type,
    zero_zero_complex: complex ).

tff(func_def_850,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_851,type,
    zero_zero_int: int ).

tff(func_def_852,type,
    zero_zero_nat: nat ).

tff(func_def_853,type,
    zero_zero_rat: rat ).

tff(func_def_854,type,
    zero_zero_real: real ).

tff(func_def_855,type,
    zero_zero_literal: literal ).

tff(func_def_856,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_857,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_858,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_859,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_860,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_861,type,
    groups2025484359314973016at_int: ( fun_Ex3482447378695272101at_int * set_Extended_enat ) > int ).

tff(func_def_862,type,
    groups2027974829824023292at_nat: ( fun_Ex7660298398204468809at_nat * set_Extended_enat ) > nat ).

tff(func_def_863,type,
    groups1392844769737527556at_rat: ( fun_Ex4152069839811072081at_rat * set_Extended_enat ) > rat ).

tff(func_def_864,type,
    groups4148127829035722712t_real: ( fun_Ex1451620480498224165t_real * set_Extended_enat ) > real ).

tff(func_def_865,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_866,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_867,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_868,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_869,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_870,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_871,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_872,type,
    groups2073611262835488442omplex: fun_nat_complex > fun_set_nat_complex ).

tff(func_def_873,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_874,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_875,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_876,type,
    groups6591440286371151544t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_877,type,
    groups3209896439523537802omplex: ( fun_op5246294523634652747omplex * set_option_nat ) > complex ).

tff(func_def_878,type,
    groups1921984841883549356at_nat: ( fun_option_nat_nat * set_option_nat ) > nat ).

tff(func_def_879,type,
    groups4518532050878116744t_real: ( fun_option_nat_real * set_option_nat ) > real ).

tff(func_def_880,type,
    groups977919841031483927at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_881,type,
    groups4567486121110086003t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_882,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_883,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_884,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_885,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_886,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_887,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_888,type,
    groups8255218700646806128omplex: ( fun_set_nat_complex * set_set_nat ) > complex ).

tff(func_def_889,type,
    groups8294997508430121362at_nat: ( fun_set_nat_nat * set_set_nat ) > nat ).

tff(func_def_890,type,
    groups5107569545109728110t_real: ( fun_set_nat_real * set_set_nat ) > real ).

tff(func_def_891,type,
    groups8682486955453173170nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_892,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_893,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_894,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_895,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_896,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_897,type,
    groups845124408420398302nteger: ( fun_Ex3703362190075743318nteger * set_Extended_enat ) > code_integer ).

tff(func_def_898,type,
    groups4622424608036095791omplex: ( fun_Ex3741802288643809319omplex * set_Extended_enat ) > complex ).

tff(func_def_899,type,
    groups2878480467620962989at_int: ( fun_Ex3482447378695272101at_int * set_Extended_enat ) > int ).

tff(func_def_900,type,
    groups2880970938130013265at_nat: ( fun_Ex7660298398204468809at_nat * set_Extended_enat ) > nat ).

tff(func_def_901,type,
    groups2245840878043517529at_rat: ( fun_Ex4152069839811072081at_rat * set_Extended_enat ) > rat ).

tff(func_def_902,type,
    groups97031904164794029t_real: ( fun_Ex1451620480498224165t_real * set_Extended_enat ) > real ).

tff(func_def_903,type,
    groups3827104343326376752nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_904,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_905,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_906,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_907,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_908,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_909,type,
    groups3455450783089532116nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_910,type,
    groups6464643781859351333omplex: fun_nat_complex > fun_set_nat_complex ).

tff(func_def_911,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_912,type,
    groups708209901874060359at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_913,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_914,type,
    groups129246275422532515t_real: fun_nat_real > fun_set_nat_real ).

tff(func_def_915,type,
    groups1917955009447795573omplex: ( fun_op5246294523634652747omplex * set_option_nat ) > complex ).

tff(func_def_916,type,
    groups6579596140936342515t_real: ( fun_option_nat_real * set_option_nat ) > real ).

tff(func_def_917,type,
    groups4077766827762148844at_nat: ( fun_Pr2602117396471556196at_nat * set_Pr1261947904930325089at_nat ) > nat ).

tff(func_def_918,type,
    groups6036352826371341000t_real: ( fun_Pr672294278902479040t_real * set_Pr1261947904930325089at_nat ) > real ).

tff(func_def_919,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_920,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_921,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_922,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_923,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_924,type,
    groups1092910753850256091omplex: ( fun_set_nat_complex * set_set_nat ) > complex ).

tff(func_def_925,type,
    groups3619160379726066777t_real: ( fun_set_nat_real * set_set_nat ) > real ).

tff(func_def_926,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_927,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_928,type,
    the_int: fun_int_o > int ).

tff(func_def_929,type,
    the_Pr4378521158711661632nt_int: fun_Pr3238374608701176162_int_o > product_prod_int_int ).

tff(func_def_930,type,
    the_real: fun_real_o > real ).

tff(func_def_931,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_932,type,
    abs_Integ: fun_Pr7647638413817135296at_int ).

tff(func_def_933,type,
    rep_Integ: fun_in4514472496968388910at_nat ).

tff(func_def_934,type,
    cr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_935,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_936,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_937,type,
    intrel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_938,type,
    nat2: fun_int_nat ).

tff(func_def_939,type,
    pcr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_940,type,
    power_int_real: real > fun_int_real ).

tff(func_def_941,type,
    ring_1_Ints_complex: set_complex ).

tff(func_def_942,type,
    ring_1_Ints_real: set_real ).

tff(func_def_943,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_944,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_945,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_946,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_947,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_948,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_949,type,
    inf_inf_int: fun_int_fun_int_int ).

tff(func_def_950,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_951,type,
    inf_in2572325071724192079at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_952,type,
    semila9081495762789891438tr_nat: fun_nat_fun_nat_nat > fun_nat_o ).

tff(func_def_953,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_954,type,
    sup_sup_int: fun_int_fun_int_int ).

tff(func_def_955,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_956,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_957,type,
    sup_su5525570899277871387at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_958,type,
    lattic921264341876707157d_enat: set_Extended_enat > extended_enat ).

tff(func_def_959,type,
    lattic8263393255366662781ax_int: set_int > int ).

tff(func_def_960,type,
    lattic8265883725875713057ax_nat: fun_set_nat_nat ).

tff(func_def_961,type,
    at_infinity_real: filter_real ).

tff(func_def_962,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_963,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_964,type,
    fold_int_int: ( fun_int_fun_int_int * list_int ) > fun_int_int ).

tff(func_def_965,type,
    fold_nat_nat: ( fun_nat_fun_nat_nat * list_nat ) > fun_nat_nat ).

tff(func_def_966,type,
    last_nat: list_nat > nat ).

tff(func_def_967,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_968,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_969,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_970,type,
    nil_int: list_int ).

tff(func_def_971,type,
    nil_nat: list_nat ).

tff(func_def_972,type,
    hd_nat: list_nat > nat ).

tff(func_def_973,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_974,type,
    map_VE8901447254227204932T_VEBT: ( fun_VE3165209603783583043T_VEBT * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_975,type,
    set_o2: list_o > set_o ).

tff(func_def_976,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_977,type,
    set_Extended_enat2: list_Extended_enat > set_Extended_enat ).

tff(func_def_978,type,
    set_int2: list_int > set_int ).

tff(func_def_979,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_980,type,
    set_option_nat2: list_option_nat > set_option_nat ).

tff(func_def_981,type,
    set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_982,type,
    set_Pr3765526544606949372at_nat: list_P5464809261938338413at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_983,type,
    set_real2: list_real > set_real ).

tff(func_def_984,type,
    set_set_nat2: list_set_nat > set_set_nat ).

tff(func_def_985,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_986,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_987,type,
    list_update_o: ( list_o * nat * $o ) > list_o ).

tff(func_def_988,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_989,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_990,type,
    list_u3411377215356412978on_nat: ( list_option_nat * nat * option_nat ) > list_option_nat ).

tff(func_def_991,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_992,type,
    list_update_set_nat: ( list_set_nat * nat * set_nat ) > list_set_nat ).

tff(func_def_993,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_994,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_995,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_996,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_997,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_998,type,
    nth_option_nat: ( list_option_nat * nat ) > option_nat ).

tff(func_def_999,type,
    nth_Product_prod_o_o: ( list_P4002435161011370285od_o_o * nat ) > product_prod_o_o ).

tff(func_def_1000,type,
    nth_Pr1649062631805364268_o_int: ( list_P3795440434834930179_o_int * nat ) > product_prod_o_int ).

tff(func_def_1001,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_1002,type,
    nth_Pr6777367263587873994T_VEBT: ( list_P7495141550334521929T_VEBT * nat ) > produc2504756804600209347T_VEBT ).

tff(func_def_1003,type,
    nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).

tff(func_def_1004,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_1005,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_1006,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_1007,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1008,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_1009,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_1010,type,
    nth_set_nat: list_set_nat > fun_nat_set_nat ).

tff(func_def_1011,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1012,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_1013,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_1014,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_1015,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_1016,type,
    product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).

tff(func_def_1017,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_1018,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_1019,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_1020,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_1021,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_1022,type,
    replic7216382294607269926d_enat: ( nat * extended_enat ) > list_Extended_enat ).

tff(func_def_1023,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_1024,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_1025,type,
    replicate_option_nat: ( nat * option_nat ) > list_option_nat ).

tff(func_def_1026,type,
    replic4235873036481779905at_nat: ( nat * product_prod_nat_nat ) > list_P6011104703257516679at_nat ).

tff(func_def_1027,type,
    replic2264142908078655527at_nat: ( nat * produc3843707927480180839at_nat ) > list_P5464809261938338413at_nat ).

tff(func_def_1028,type,
    replicate_real: ( nat * real ) > list_real ).

tff(func_def_1029,type,
    replicate_set_nat: ( nat * set_nat ) > list_set_nat ).

tff(func_def_1030,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1031,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_1032,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_1033,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_1034,type,
    take_VEBT_VEBT: ( nat * list_VEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_1035,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_1036,type,
    upto: ( int * int ) > list_int ).

tff(func_def_1037,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_1038,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_1039,type,
    suc: fun_nat_nat ).

tff(func_def_1040,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1041,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_1042,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1043,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_1044,type,
    pred: fun_nat_nat ).

tff(func_def_1045,type,
    semiri3842193898606819883omplex: set_complex ).

tff(func_def_1046,type,
    semiring_1_Nats_int: set_int ).

tff(func_def_1047,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_1048,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_1049,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_1050,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_1051,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_1052,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_1053,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_1054,type,
    size_size_list_o: list_o > nat ).

tff(func_def_1055,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_1056,type,
    size_s3941691890525107288d_enat: list_Extended_enat > nat ).

tff(func_def_1057,type,
    size_size_list_int: list_int > nat ).

tff(func_def_1058,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_1059,type,
    size_size_list_num: list_num > nat ).

tff(func_def_1060,type,
    size_s6086282163384603972on_nat: list_option_nat > nat ).

tff(func_def_1061,type,
    size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).

tff(func_def_1062,type,
    size_size_list_real: list_real > nat ).

tff(func_def_1063,type,
    size_s3254054031482475050et_nat: list_set_nat > nat ).

tff(func_def_1064,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_1065,type,
    size_size_num: fun_num_nat ).

tff(func_def_1066,type,
    size_size_option_nat: fun_option_nat_nat ).

tff(func_def_1067,type,
    size_size_option_num: option_num > nat ).

tff(func_def_1068,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_1069,type,
    size_size_char: char > nat ).

tff(func_def_1070,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1071,type,
    nat_list_decode: nat > list_nat ).

tff(func_def_1072,type,
    nat_list_decode_rel: fun_nat_fun_nat_o ).

tff(func_def_1073,type,
    nat_list_encode: list_nat > nat ).

tff(func_def_1074,type,
    nat_list_encode_rel: fun_li1025265955262268170_nat_o ).

tff(func_def_1075,type,
    nat_prod_decode: fun_na1476630412504255114at_nat ).

tff(func_def_1076,type,
    nat_prod_decode_aux: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1077,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_1078,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_1079,type,
    nat_set_decode: fun_nat_set_nat ).

tff(func_def_1080,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_1081,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_1082,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_1083,type,
    sqrt: fun_real_real ).

tff(func_def_1084,type,
    bitM: fun_num_num ).

tff(func_def_1085,type,
    inc: fun_num_num ).

tff(func_def_1086,type,
    nat_of_num: fun_num_nat ).

tff(func_def_1087,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_1088,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_1089,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_1090,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_1091,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_1092,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_1093,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_1094,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_1095,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_1096,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_1097,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_1098,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_1099,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_1100,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_1101,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_1102,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_1103,type,
    bit0: fun_num_num ).

tff(func_def_1104,type,
    bit1: fun_num_num ).

tff(func_def_1105,type,
    one: num ).

tff(func_def_1106,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_1107,type,
    size_num: fun_num_nat ).

tff(func_def_1108,type,
    num_of_nat: fun_nat_num ).

tff(func_def_1109,type,
    numera6620942414471956472nteger: num > code_integer ).

tff(func_def_1110,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_1111,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_1112,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_1113,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_1114,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_1115,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_1116,type,
    pow: fun_num_fun_num_num ).

tff(func_def_1117,type,
    pred_numeral: fun_num_nat ).

tff(func_def_1118,type,
    sqr: fun_num_num ).

tff(func_def_1119,type,
    none_nat: option_nat ).

tff(func_def_1120,type,
    none_num: option_num ).

tff(func_def_1121,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_1122,type,
    some_nat: nat > option_nat ).

tff(func_def_1123,type,
    some_num: num > option_num ).

tff(func_def_1124,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_1125,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1126,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_1127,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_1128,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_1129,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_1130,type,
    the_nat: fun_option_nat_nat ).

tff(func_def_1131,type,
    the_num: option_num > num ).

tff(func_def_1132,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1133,type,
    order_underS_nat: set_Pr1261947904930325089at_nat > fun_nat_set_nat ).

tff(func_def_1134,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_1135,type,
    bot_bot_nat: nat ).

tff(func_def_1136,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_1137,type,
    bot_bo7653980558646680370d_enat: set_Extended_enat ).

tff(func_def_1138,type,
    bot_bot_set_int: set_int ).

tff(func_def_1139,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1140,type,
    bot_bot_set_num: set_num ).

tff(func_def_1141,type,
    bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1142,type,
    bot_bo228742789529271731at_nat: set_Pr4329608150637261639at_nat ).

tff(func_def_1143,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_1144,type,
    bot_bot_set_real: set_real ).

tff(func_def_1145,type,
    bot_bot_set_set_nat: set_set_nat ).

tff(func_def_1146,type,
    bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).

tff(func_def_1147,type,
    ord_Le1955565732374568822d_enat: fun_Extended_enat_o > extended_enat ).

tff(func_def_1148,type,
    ord_Least_nat: fun_nat_o > nat ).

tff(func_def_1149,type,
    ord_Least_real: fun_real_o > real ).

tff(func_def_1150,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_1151,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_1152,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_1153,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_1154,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_1155,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_1156,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_1157,type,
    ord_le2529575680413868914d_enat: set_Extended_enat > fun_se8123728892507317397enat_o ).

tff(func_def_1158,type,
    ord_less_set_int: set_int > fun_set_int_o ).

tff(func_def_1159,type,
    ord_less_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_1160,type,
    ord_less_set_num: set_num > fun_set_num_o ).

tff(func_def_1161,type,
    ord_less_set_rat: set_rat > fun_set_rat_o ).

tff(func_def_1162,type,
    ord_less_set_real: set_real > fun_set_real_o ).

tff(func_def_1163,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_1164,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_1165,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_1166,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_1167,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_1168,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_1169,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_1170,type,
    ord_le211207098394363844omplex: set_complex > fun_set_complex_o ).

tff(func_def_1171,type,
    ord_le7203529160286727270d_enat: set_Extended_enat > fun_se8123728892507317397enat_o ).

tff(func_def_1172,type,
    ord_less_eq_set_int: set_int > fun_set_int_o ).

tff(func_def_1173,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_1174,type,
    ord_less_eq_set_num: set_num > fun_set_num_o ).

tff(func_def_1175,type,
    ord_less_eq_set_rat: set_rat > fun_set_rat_o ).

tff(func_def_1176,type,
    ord_less_eq_set_real: set_real > fun_set_real_o ).

tff(func_def_1177,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1178,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1179,type,
    ord_max_int: fun_int_fun_int_int ).

tff(func_def_1180,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1181,type,
    ord_max_num: fun_num_fun_num_num ).

tff(func_def_1182,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_1183,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_1184,type,
    ord_ma4205026669011143323d_enat: ( set_Extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_1185,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1186,type,
    ord_max_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_1187,type,
    ord_max_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_1188,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1189,type,
    ord_min_int: fun_int_fun_int_int ).

tff(func_def_1190,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_1191,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_1192,type,
    ordering_top_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_1193,type,
    top_to3028658606643905974d_enat: extended_enat ).

tff(func_def_1194,type,
    top_top_set_o: set_o ).

tff(func_def_1195,type,
    top_top_set_int: set_int ).

tff(func_def_1196,type,
    top_top_set_nat: set_nat ).

tff(func_def_1197,type,
    top_to8920198386146353926on_nat: set_option_nat ).

tff(func_def_1198,type,
    top_top_set_real: set_real ).

tff(func_def_1199,type,
    top_top_set_char: set_char ).

tff(func_def_1200,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1201,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1202,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1203,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1204,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1205,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_1206,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_1207,type,
    product_Pair_o_int: ( $o * int ) > product_prod_o_int ).

tff(func_def_1208,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_1209,type,
    produc2982872950893828659T_VEBT: ( $o * vEBT_VEBT ) > produc2504756804600209347T_VEBT ).

tff(func_def_1210,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_1211,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1212,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_1213,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1214,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1215,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1216,type,
    produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).

tff(func_def_1217,type,
    produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).

tff(func_def_1218,type,
    produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).

tff(func_def_1219,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_1220,type,
    produc2922128104949294807at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > produc3843707927480180839at_nat ).

tff(func_def_1221,type,
    produc9060074326276436823at_nat: ( set_Pr4329608150637261639at_nat * set_Pr4329608150637261639at_nat ) > produc1319942482725812455at_nat ).

tff(func_def_1222,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_1223,type,
    produc581526299967858633d_enat: ( vEBT_VEBT * extended_enat ) > produc7272778201969148633d_enat ).

tff(func_def_1224,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1225,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1226,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1227,type,
    produc7967433646104525454on_nat: ( fun_nat_fun_nat_o * produc4953844613479565601on_nat ) > produc1615844007061411358on_nat ).

tff(func_def_1228,type,
    produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).

tff(func_def_1229,type,
    produc1140783415258738358on_num: ( fun_num_fun_num_o * produc3447558737645232053on_num ) > produc50614890452615238on_num ).

tff(func_def_1230,type,
    produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).

tff(func_def_1231,type,
    produc3653971535690468304at_nat: ( fun_Pr2028404973800837934_nat_o * produc6121120109295599847at_nat ) > produc3739950874144486240at_nat ).

tff(func_def_1232,type,
    produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).

tff(func_def_1233,type,
    produc457027306803732586at_nat: ( set_nat * fun_nat_set_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1234,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1235,type,
    produc8678311845419106900er_nat: ( fun_Code_integer_nat * fun_Code_integer_nat * produc8923325533196201883nteger ) > product_prod_nat_nat ).

tff(func_def_1236,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1237,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1238,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1239,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_1240,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1241,type,
    produc6771430404735790350plex_o: fun_co1148497455491383662plex_o > fun_Pr7716844367077540446plex_o ).

tff(func_def_1242,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1243,type,
    produc8211389475949308722nt_int: ( fun_int_fun_int_int * product_prod_int_int ) > int ).

tff(func_def_1244,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1245,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1246,type,
    produc2761476792215241774st_nat: ( fun_na819858167508000762st_nat * product_prod_nat_nat ) > list_nat ).

tff(func_def_1247,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1248,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1249,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_1250,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1251,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1252,type,
    produc5414030515140494994real_o: fun_real_fun_real_o > fun_Pr4814023175418636514real_o ).

tff(func_def_1253,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1254,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1255,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1256,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1257,type,
    abs_Rat: fun_Pr1652463973008025892nt_rat ).

tff(func_def_1258,type,
    fract: fun_int_fun_int_rat ).

tff(func_def_1259,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1260,type,
    rep_Rat: fun_ra4503298312962071866nt_int ).

tff(func_def_1261,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1262,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_1263,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1264,type,
    pcr_rat: fun_Pr7537129237977221859_rat_o ).

tff(func_def_1265,type,
    positive: fun_rat_o ).

tff(func_def_1266,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1267,type,
    ratrel: fun_Pr9018117161326028078_int_o ).

tff(func_def_1268,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_1269,type,
    cr_real: fun_fu1771228864347509049real_o ).

tff(func_def_1270,type,
    pcr_real: fun_fu1771228864347509049real_o ).

tff(func_def_1271,type,
    positive2: fun_real_o ).

tff(func_def_1272,type,
    realrel: fun_fu6714665071556184448_rat_o ).

tff(func_def_1273,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_1274,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1275,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1276,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1277,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1278,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1279,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1280,type,
    real_V1803761363581548252l_real: fun_real_real ).

tff(func_def_1281,type,
    algebr932160517623751201me_int: fun_int_fun_int_o ).

tff(func_def_1282,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_o ).

tff(func_def_1283,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1284,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1285,type,
    divide_divide_int: int > fun_int_int ).

tff(func_def_1286,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1287,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1288,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1289,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_1290,type,
    dvd_dvd_complex: complex > fun_complex_o ).

tff(func_def_1291,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_1292,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_1293,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_1294,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_1295,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1296,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1297,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1298,type,
    unit_f2748546683901255202or_nat: fun_nat_nat ).

tff(func_def_1299,type,
    zero_n356916108424825756nteger: $o > code_integer ).

tff(func_def_1300,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_1301,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

tff(func_def_1302,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1303,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1304,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1305,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1306,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_1307,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_1308,type,
    collec4429806609662206161d_enat: fun_Extended_enat_o > set_Extended_enat ).

tff(func_def_1309,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_1310,type,
    collect_list_o: fun_list_o_o > set_list_o ).

tff(func_def_1311,type,
    collect_list_complex: fun_list_complex_o > set_list_complex ).

tff(func_def_1312,type,
    collec8433460942617342167d_enat: fun_li827083013690791791enat_o > set_li5464603477888414924d_enat ).

tff(func_def_1313,type,
    collect_list_int: fun_list_int_o > set_list_int ).

tff(func_def_1314,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_1315,type,
    collec3343600615725829874at_nat: fun_li7366011709773453460_nat_o > set_li5450038453877631591at_nat ).

tff(func_def_1316,type,
    collec5608196760682091941T_VEBT: fun_list_VEBT_VEBT_o > set_list_VEBT_VEBT ).

tff(func_def_1317,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_1318,type,
    collect_num: fun_num_o > set_num ).

tff(func_def_1319,type,
    collect_option_nat: fun_option_nat_o > set_option_nat ).

tff(func_def_1320,type,
    collec8663557070575231912omplex: fun_Pr7716844367077540446plex_o > set_Pr5085853215250843933omplex ).

tff(func_def_1321,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_1322,type,
    collec3392354462482085612at_nat: fun_Pr4796943543331071514_nat_o > set_Pr1261947904930325089at_nat ).

tff(func_def_1323,type,
    collec3799799289383736868l_real: fun_Pr4814023175418636514real_o > set_Pr6218003697084177305l_real ).

tff(func_def_1324,type,
    collect_rat: fun_rat_o > set_rat ).

tff(func_def_1325,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_1326,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_1327,type,
    pow_nat: set_nat > set_set_nat ).

tff(func_def_1328,type,
    image_80655429650038917d_enat: ( fun_Ex5852502975177633731d_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_1329,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1330,type,
    image_int_nat: ( fun_int_nat * set_int ) > set_nat ).

tff(func_def_1331,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1332,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1333,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1334,type,
    image_nat_set_nat: ( fun_nat_set_nat * set_nat ) > set_set_nat ).

tff(func_def_1335,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1336,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_1337,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_1338,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1339,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1340,type,
    image_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * set_VEBT_VEBT ) > set_nat ).

tff(func_def_1341,type,
    insert_complex: ( complex * set_complex ) > set_complex ).

tff(func_def_1342,type,
    insert_Extended_enat: ( extended_enat * set_Extended_enat ) > set_Extended_enat ).

tff(func_def_1343,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1344,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1345,type,
    insert_num: ( num * set_num ) > set_num ).

tff(func_def_1346,type,
    insert8211810215607154385at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_1347,type,
    insert9069300056098147895at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_1348,type,
    insert_rat: ( rat * set_rat ) > set_rat ).

tff(func_def_1349,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1350,type,
    insert_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_1351,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1352,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1353,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1354,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1355,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1356,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1357,type,
    set_or5403411693681687835d_enat: ( extended_enat * extended_enat ) > set_Extended_enat ).

tff(func_def_1358,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1359,type,
    set_or1269000886237332187st_nat: nat > fun_nat_set_nat ).

tff(func_def_1360,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1361,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1362,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1363,type,
    set_or4548717258645045905et_nat: ( set_nat * set_nat ) > set_set_nat ).

tff(func_def_1364,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1365,type,
    set_or4665077453230672383an_nat: nat > fun_nat_set_nat ).

tff(func_def_1366,type,
    set_ord_atLeast_nat: fun_nat_set_nat ).

tff(func_def_1367,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1368,type,
    set_ord_atMost_nat: fun_nat_set_nat ).

tff(func_def_1369,type,
    set_ord_atMost_num: num > set_num ).

tff(func_def_1370,type,
    set_ord_atMost_rat: rat > set_rat ).

tff(func_def_1371,type,
    set_ord_atMost_real: real > set_real ).

tff(func_def_1372,type,
    set_or4236626031148496127et_nat: set_nat > set_set_nat ).

tff(func_def_1373,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1374,type,
    set_or6659071591806873216st_nat: nat > fun_nat_set_nat ).

tff(func_def_1375,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1376,type,
    set_or5834768355832116004an_nat: nat > fun_nat_set_nat ).

tff(func_def_1377,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1378,type,
    set_or1210151606488870762an_nat: fun_nat_set_nat ).

tff(func_def_1379,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1380,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1381,type,
    set_ord_lessThan_nat: fun_nat_set_nat ).

tff(func_def_1382,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1383,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1384,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1385,type,
    set_or890127255671739683et_nat: set_nat > set_set_nat ).

tff(func_def_1386,type,
    abort_real: ( literal * fun_Pr1792556611952799308t_real ) > real ).

tff(func_def_1387,type,
    literal2: ( $o * $o * $o * $o * $o * $o * $o * literal ) > literal ).

tff(func_def_1388,type,
    ascii_of: char > char ).

tff(func_def_1389,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1390,type,
    size_char: char > nat ).

tff(func_def_1391,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1392,type,
    integer_of_char: char > code_integer ).

tff(func_def_1393,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1394,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1395,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1396,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1397,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1398,type,
    arccos: fun_real_real ).

tff(func_def_1399,type,
    arcosh_real: fun_real_real ).

tff(func_def_1400,type,
    arcsin: fun_real_real ).

tff(func_def_1401,type,
    arctan: fun_real_real ).

tff(func_def_1402,type,
    arsinh_real: fun_real_real ).

tff(func_def_1403,type,
    artanh_real: fun_real_real ).

tff(func_def_1404,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1405,type,
    cos_real: fun_real_real ).

tff(func_def_1406,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1407,type,
    cosh_real: fun_real_real ).

tff(func_def_1408,type,
    cot_real: fun_real_real ).

tff(func_def_1409,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1410,type,
    exp_real: fun_real_real ).

tff(func_def_1411,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1412,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1413,type,
    pi: real ).

tff(func_def_1414,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1415,type,
    powr_real2: fun_re7681423839302404990l_real ).

tff(func_def_1416,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1417,type,
    sin_real: fun_real_real ).

tff(func_def_1418,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1419,type,
    sinh_real: fun_real_real ).

tff(func_def_1420,type,
    tan_complex: fun_complex_complex ).

tff(func_def_1421,type,
    tan_real: fun_real_real ).

tff(func_def_1422,type,
    tanh_real: fun_real_real ).

tff(func_def_1423,type,
    transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1424,type,
    transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).

tff(func_def_1425,type,
    vEBT_T_i_n_s_e_r_t: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1426,type,
    vEBT_T_i_n_s_e_r_t2: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1427,type,
    vEBT_T5076183648494686801_t_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1428,type,
    vEBT_T9217963907923527482_t_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1429,type,
    vEBT_T_m_a_x_t: vEBT_VEBT > nat ).

tff(func_def_1430,type,
    vEBT_T_m_e_m_b_e_r: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1431,type,
    vEBT_T_m_e_m_b_e_r2: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1432,type,
    vEBT_T8099345112685741742_r_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1433,type,
    vEBT_T5837161174952499735_r_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1434,type,
    vEBT_T_m_i_n_N_u_l_l: vEBT_VEBT > nat ).

tff(func_def_1435,type,
    vEBT_T_m_i_n_t: vEBT_VEBT > nat ).

tff(func_def_1436,type,
    vEBT_T_m_i_n_t_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1437,type,
    vEBT_T_p_r_e_d: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1438,type,
    vEBT_T_p_r_e_d2: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1439,type,
    vEBT_T_p_r_e_d_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1440,type,
    vEBT_T_p_r_e_d_rel2: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1441,type,
    vEBT_T_s_u_c_c: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1442,type,
    vEBT_T_s_u_c_c2: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1443,type,
    vEBT_T_s_u_c_c_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1444,type,
    vEBT_T_s_u_c_c_rel2: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1445,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1446,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1447,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1448,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_1449,type,
    vEBT_VEBT_elim_dead: ( vEBT_VEBT * extended_enat ) > vEBT_VEBT ).

tff(func_def_1450,type,
    vEBT_V312737461966249ad_rel: fun_Pr1263128411319240110enat_o ).

tff(func_def_1451,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1452,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_1453,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1454,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_1455,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1456,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1457,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1458,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_1459,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1460,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_1461,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1462,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1463,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_1464,type,
    vEBT_T_d_e_l_e_t_e: vEBT_VEBT > fun_nat_nat ).

tff(func_def_1465,type,
    vEBT_T8441311223069195367_e_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1466,type,
    vEBT_vebt_delete: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1467,type,
    vEBT_vebt_delete_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1468,type,
    vEBT_VEBT_height: fun_VEBT_VEBT_nat ).

tff(func_def_1469,type,
    vEBT_VEBT_height_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1470,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1471,type,
    vEBT_vebt_insert_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1472,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1473,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_o ).

tff(func_def_1474,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1475,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1476,type,
    vEBT_vebt_member_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1477,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1478,type,
    vEBT_VEBT_greater: fun_op5794009454290973322_nat_o ).

tff(func_def_1479,type,
    vEBT_VEBT_less: fun_op5794009454290973322_nat_o ).

tff(func_def_1480,type,
    vEBT_VEBT_lesseq: fun_op5794009454290973322_nat_o ).

tff(func_def_1481,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_o ).

tff(func_def_1482,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_o ).

tff(func_def_1483,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1484,type,
    vEBT_V2881884560877996034ft_nat: fun_nat_fun_nat_o > fun_op5794009454290973322_nat_o ).

tff(func_def_1485,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1486,type,
    vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).

tff(func_def_1487,type,
    vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).

tff(func_def_1488,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1489,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1490,type,
    vEBT_vebt_maxt_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1491,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1492,type,
    vEBT_vebt_mint_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1493,type,
    vEBT_is_pred_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1494,type,
    vEBT_vebt_pred: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1495,type,
    vEBT_vebt_pred_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1496,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1497,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1498,type,
    vEBT_vebt_succ_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1499,type,
    accp_list_nat: fun_li1025265955262268170_nat_o > fun_list_nat_o ).

tff(func_def_1500,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_1501,type,
    accp_VEBT_VEBT: fun_VE2962686792283380846VEBT_o > fun_VEBT_VEBT_o ).

tff(func_def_1502,type,
    less_than: set_Pr1261947904930325089at_nat ).

tff(func_def_1503,type,
    lex_prod_nat_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_1504,type,
    max_ex8135407076693332796at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1505,type,
    min_ex6901939911449802026at_nat: set_Pr8693737435421807431at_nat > set_Pr4329608150637261639at_nat ).

tff(func_def_1506,type,
    pred_nat: set_Pr1261947904930325089at_nat ).

tff(func_def_1507,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_1508,type,
    aa_o_fun_o_o: ( fun_o_fun_o_o * $o ) > fun_o_o ).

tff(func_def_1509,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1510,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1511,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1512,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1513,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1514,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1515,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1516,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1517,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1518,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1519,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1520,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1521,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1522,type,
    aa_Cod6397266357770349983nteger: ( fun_Co8502721031311864414nteger * code_integer ) > fun_Co6226381647958292740nteger ).

tff(func_def_1523,type,
    aa_Cod1578151519121547077nteger: ( fun_Co6226381647958292740nteger * code_integer ) > fun_nat_Code_integer ).

tff(func_def_1524,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1525,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1526,type,
    aa_com3683005661447327866d_enat: ( fun_co6496365337113880337d_enat * complex ) > extended_enat ).

tff(func_def_1527,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1528,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1529,type,
    aa_complex_num: ( fun_complex_num * complex ) > num ).

tff(func_def_1530,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1531,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1532,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_1533,type,
    aa_com8177640530696437650omplex: ( fun_co6147893885205795665omplex * complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1534,type,
    aa_com7713930848417683039omplex: ( fun_co3194742168270691230omplex * complex ) > fun_co6883864892131739507omplex ).

tff(func_def_1535,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1536,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1537,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1538,type,
    aa_Ext3588433912111482887nteger: ( fun_Ex3703362190075743318nteger * extended_enat ) > code_integer ).

tff(func_def_1539,type,
    aa_Ext8748583412541189208omplex: ( fun_Ex3741802288643809319omplex * extended_enat ) > complex ).

tff(func_def_1540,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1541,type,
    aa_Extended_enat_int: ( fun_Ex3482447378695272101at_int * extended_enat ) > int ).

tff(func_def_1542,type,
    aa_Extended_enat_nat: ( fun_Ex7660298398204468809at_nat * extended_enat ) > nat ).

tff(func_def_1543,type,
    aa_Extended_enat_num: ( fun_Ex8368542335153306515at_num * extended_enat ) > num ).

tff(func_def_1544,type,
    aa_Ext8690348996281249226on_nat: ( fun_Ex621978932285409945on_nat * extended_enat ) > option_nat ).

tff(func_def_1545,type,
    aa_Extended_enat_rat: ( fun_Ex4152069839811072081at_rat * extended_enat ) > rat ).

tff(func_def_1546,type,
    aa_Ext2541572767299617110t_real: ( fun_Ex1451620480498224165t_real * extended_enat ) > real ).

tff(func_def_1547,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1548,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1549,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1550,type,
    aa_int_Extended_enat: ( fun_in5914218760682845459d_enat * int ) > extended_enat ).

tff(func_def_1551,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1552,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1553,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1554,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1555,type,
    aa_int1417691210696471063at_nat: ( fun_in4514472496968388910at_nat * int ) > product_prod_nat_nat ).

tff(func_def_1556,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1557,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1558,type,
    aa_int5993532643906289898eger_o: ( fun_in4891666191172872833eger_o * int ) > fun_Code_integer_o ).

tff(func_def_1559,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1560,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1561,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1562,type,
    aa_int_fun_int_rat: ( fun_int_fun_int_rat * int ) > fun_int_rat ).

tff(func_def_1563,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_1564,type,
    aa_int5842867502692063756at_int: ( fun_in1521351555827773387at_int * int ) > fun_int_fun_nat_int ).

tff(func_def_1565,type,
    aa_int6823550873765277145at_int: ( fun_in281396392327853336at_int * int ) > fun_in6793278964266839919at_int ).

tff(func_def_1566,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1567,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1568,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1569,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1570,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1571,type,
    aa_nat_Extended_enat: ( fun_na8797796813480665199d_enat * nat ) > extended_enat ).

tff(func_def_1572,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1573,type,
    aa_nat_list_nat: ( fun_nat_list_nat * nat ) > list_nat ).

tff(func_def_1574,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1575,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1576,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1577,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1578,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1579,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1580,type,
    aa_nat_set_nat: ( fun_nat_set_nat * nat ) > set_nat ).

tff(func_def_1581,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_1582,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1583,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1584,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1585,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1586,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1587,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1588,type,
    aa_nat_fun_list_o_o: ( fun_nat_fun_list_o_o * nat ) > fun_list_o_o ).

tff(func_def_1589,type,
    aa_nat5940423528545770789plex_o: ( fun_na2418085665696872764plex_o * nat ) > fun_list_complex_o ).

tff(func_def_1590,type,
    aa_nat4163650157883470461enat_o: ( fun_na4030263931958639548enat_o * nat ) > fun_li827083013690791791enat_o ).

tff(func_def_1591,type,
    aa_nat3638697132715757351_int_o: ( fun_na7306406234920378942_int_o * nat ) > fun_list_int_o ).

tff(func_def_1592,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1593,type,
    aa_nat1970911183850433186_nat_o: ( fun_na5060536216179792737_nat_o * nat ) > fun_li7366011709773453460_nat_o ).

tff(func_def_1594,type,
    aa_nat1274389614848952367VEBT_o: ( fun_na5873943405026509934VEBT_o * nat ) > fun_list_VEBT_VEBT_o ).

tff(func_def_1595,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1596,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1597,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1598,type,
    aa_nat6157064778417537467st_nat: ( fun_na819858167508000762st_nat * nat ) > fun_nat_list_nat ).

tff(func_def_1599,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1600,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1601,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1602,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1603,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1604,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1605,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1606,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1607,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1608,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1609,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1610,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1611,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1612,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1613,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1614,type,
    aa_nat_fun_real_o: ( fun_nat_fun_real_o * nat ) > fun_real_o ).

tff(func_def_1615,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1616,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1617,type,
    aa_nat_fun_set_nat_o: ( fun_na8563630686737515764_nat_o * nat ) > fun_set_nat_o ).

tff(func_def_1618,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_1619,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1620,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1621,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1622,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1623,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1624,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1625,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1626,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1627,type,
    aa_num5808785979904431436nteger: ( fun_nu2537414170016844299nteger * num ) > fun_num_Code_integer ).

tff(func_def_1628,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1629,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1630,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1631,type,
    aa_opt3066276567374697100omplex: ( fun_op5246294523634652747omplex * option_nat ) > complex ).

tff(func_def_1632,type,
    aa_opt7707970668229209096d_enat: ( fun_op7883857814936610463d_enat * option_nat ) > extended_enat ).

tff(func_def_1633,type,
    aa_option_nat_nat: ( fun_option_nat_nat * option_nat ) > nat ).

tff(func_def_1634,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1635,type,
    aa_option_nat_real: ( fun_option_nat_real * option_nat ) > real ).

tff(func_def_1636,type,
    aa_opt4319133605541840243_nat_o: ( fun_op5794009454290973322_nat_o * option_nat ) > fun_option_nat_o ).

tff(func_def_1637,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1638,type,
    aa_opt5077314168511351209_num_o: ( fun_op6120599277751319488_num_o * option_nat ) > fun_option_num_o ).

tff(func_def_1639,type,
    aa_opt120907569613471666_nat_o: ( fun_op3832135881594366065_nat_o * option_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1640,type,
    aa_opt7915830422195272873_nat_o: ( fun_op167334234089630144_nat_o * option_num ) > fun_option_nat_o ).

tff(func_def_1641,type,
    aa_opt8674010985164783839_num_o: ( fun_op493924057549976310_num_o * option_num ) > fun_option_num_o ).

tff(func_def_1642,type,
    aa_opt1662640216596507900_nat_o: ( fun_op5373868528577402299_nat_o * option_num ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1643,type,
    aa_opt7110402928079307526_nat_o: ( fun_op7326680082016885773_nat_o * option4927543243414619207at_nat ) > fun_option_nat_o ).

tff(func_def_1644,type,
    aa_opt7868583491048818492_num_o: ( fun_op7653269905477231939_num_o * option4927543243414619207at_nat ) > fun_option_num_o ).

tff(func_def_1645,type,
    aa_opt9039718665754746463_nat_o: ( fun_op1221328669798608686_nat_o * option4927543243414619207at_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1646,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1647,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1648,type,
    aa_Pro6166618844887768661nt_rat: ( fun_Pr1652463973008025892nt_rat * product_prod_int_int ) > rat ).

tff(func_def_1649,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1650,type,
    aa_Pro2298929076809959388_rat_o: ( fun_Pr7537129237977221859_rat_o * product_prod_int_int ) > fun_rat_o ).

tff(func_def_1651,type,
    aa_Pro4240683299535347697at_int: ( fun_Pr7647638413817135296at_int * product_prod_nat_nat ) > int ).

tff(func_def_1652,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1653,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1654,type,
    aa_Pro6168199777849092593t_real: ( fun_Pr672294278902479040t_real * product_prod_nat_nat ) > real ).

tff(func_def_1655,type,
    aa_Pro2912763917461432128_int_o: ( fun_Pr4738963024209204295_int_o * product_prod_nat_nat ) > fun_int_o ).

tff(func_def_1656,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1657,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1658,type,
    aa_Product_unit_real: ( fun_Pr1792556611952799308t_real * product_unit ) > real ).

tff(func_def_1659,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1660,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1661,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1662,type,
    aa_rat7754553326175492643nt_int: ( fun_ra4503298312962071866nt_int * rat ) > product_prod_int_int ).

tff(func_def_1663,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1664,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1665,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1666,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1667,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1668,type,
    aa_rat3146053865535587600at_rat: ( fun_ra3995598502166916815at_rat * rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1669,type,
    aa_rat8984911954100663005at_rat: ( fun_ra2740371568465858076at_rat * rat ) > fun_ra5513060666784058567at_rat ).

tff(func_def_1670,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1671,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1672,type,
    aa_rea1194391308913012860d_enat: ( fun_re6065469302365115155d_enat * real ) > extended_enat ).

tff(func_def_1673,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1674,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1675,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1676,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1677,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1678,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1679,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1680,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1681,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1682,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1683,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1684,type,
    aa_rea7683167438103758690t_real: ( fun_re8658731967611918585t_real * real ) > fun_Pr1792556611952799308t_real ).

tff(func_def_1685,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1686,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1687,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1688,type,
    aa_rea6454571821648764761t_real: ( fun_re7819166435457029784t_real * real ) > fun_re4756235295228751087t_real ).

tff(func_def_1689,type,
    aa_set_nat_complex: ( fun_set_nat_complex * set_nat ) > complex ).

tff(func_def_1690,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1691,type,
    aa_set_nat_real: ( fun_set_nat_real * set_nat ) > real ).

tff(func_def_1692,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1693,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1694,type,
    aa_VEB5832953974749077948T_VEBT: ( fun_VE3165209603783583043T_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1695,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1696,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1697,type,
    aa_fun2514317545224092796plex_o: ( fun_fu1358370060594899587plex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_1698,type,
    aa_fun4010016270681809034ex_rat: ( fun_fu4396998534562958809ex_rat * fun_complex_o ) > fun_complex_rat ).

tff(func_def_1699,type,
    aa_fun8261057609414086622x_real: ( fun_fu3043978019632300333x_real * fun_complex_o ) > fun_complex_real ).

tff(func_def_1700,type,
    aa_fun5099116602557847362plex_o: ( fun_fu2497916604042137945plex_o * fun_complex_rat ) > fun_complex_o ).

tff(func_def_1701,type,
    aa_fun7622890401989837636ex_rat: ( fun_fu2990765671291504771ex_rat * fun_complex_rat ) > fun_complex_rat ).

tff(func_def_1702,type,
    aa_fun4586712283274990936plex_o: ( fun_fu6925816717872577647plex_o * fun_complex_rat ) > fun_fu2497916604042137945plex_o ).

tff(func_def_1703,type,
    aa_fun6195079535267300846plex_o: ( fun_fu806425790188207109plex_o * fun_complex_real ) > fun_complex_o ).

tff(func_def_1704,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1705,type,
    aa_fun805843229300662576plex_o: ( fun_fu7523448966510524487plex_o * fun_complex_real ) > fun_fu806425790188207109plex_o ).

tff(func_def_1706,type,
    aa_fun3141604562678283816enat_o: ( fun_fu9148622857633396327enat_o * fun_Extended_enat_o ) > fun_Extended_enat_o ).

tff(func_def_1707,type,
    aa_fun7620239922906079710at_rat: ( fun_fu6860062128333554421at_rat * fun_Extended_enat_o ) > fun_Ex4152069839811072081at_rat ).

tff(func_def_1708,type,
    aa_fun6735295395714377522t_real: ( fun_fu746971108421118025t_real * fun_Extended_enat_o ) > fun_Ex1451620480498224165t_real ).

tff(func_def_1709,type,
    aa_fun6409921925892117386enat_o: ( fun_fu1505430369442770905enat_o * fun_Ex4152069839811072081at_rat ) > fun_Extended_enat_o ).

tff(func_def_1710,type,
    aa_fun9057213682095532284at_rat: ( fun_fu263853427677366787at_rat * fun_Ex4152069839811072081at_rat ) > fun_Ex4152069839811072081at_rat ).

tff(func_def_1711,type,
    aa_fun8697513252390107524enat_o: ( fun_fu7016404721254394507enat_o * fun_Ex4152069839811072081at_rat ) > fun_fu1505430369442770905enat_o ).

tff(func_def_1712,type,
    aa_fun3231203535971307998enat_o: ( fun_fu734372843349436973enat_o * fun_Ex1451620480498224165t_real ) > fun_Extended_enat_o ).

tff(func_def_1713,type,
    aa_fun1749635019461158908t_real: ( fun_fu7336479014630192387t_real * fun_Ex1451620480498224165t_real ) > fun_Ex1451620480498224165t_real ).

tff(func_def_1714,type,
    aa_fun6667565826444835588enat_o: ( fun_fu5235757188046002187enat_o * fun_Ex1451620480498224165t_real ) > fun_fu734372843349436973enat_o ).

tff(func_def_1715,type,
    aa_fun6243517787477317628_int_o: ( fun_fu3883539188510166275_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_1716,type,
    aa_fun268837275264525578nt_rat: ( fun_fu3922030663826099033nt_rat * fun_int_o ) > fun_int_rat ).

tff(func_def_1717,type,
    aa_fun7506669883404309598t_real: ( fun_fu7030473000426307245t_real * fun_int_o ) > fun_int_real ).

tff(func_def_1718,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1719,type,
    aa_fun1985759105522019690t_real: ( fun_fu3594690983434520489t_real * fun_int_complex ) > fun_int_real ).

tff(func_def_1720,type,
    aa_fun2328901131235339916nt_int: ( fun_fu6415725884910174923nt_int * fun_int_nat ) > fun_int_int ).

tff(func_def_1721,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1722,type,
    aa_fun7094158214180239686_int_o: ( fun_fu3473604023002724957_int_o * fun_int_rat ) > fun_int_o ).

tff(func_def_1723,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1724,type,
    aa_fun1445893531507182942_int_o: ( fun_fu7714913403879666293_int_o * fun_int_rat ) > fun_fu3473604023002724957_int_o ).

tff(func_def_1725,type,
    aa_fun4444401208693448434_int_o: ( fun_fu4185471554550717449_int_o * fun_int_real ) > fun_int_o ).

tff(func_def_1726,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1727,type,
    aa_fun135101165924023862_int_o: ( fun_fu4228744305898656589_int_o * fun_int_real ) > fun_fu4185471554550717449_int_o ).

tff(func_def_1728,type,
    aa_fun5937193402907943164_nat_o: ( fun_fu4001317426178549763_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_1729,type,
    aa_fun696632391729880074at_rat: ( fun_fu3162257917499486297at_rat * fun_nat_o ) > fun_nat_rat ).

tff(func_def_1730,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1731,type,
    aa_fun5031706661949900810omplex: ( fun_fu1584491925252458057omplex * fun_nat_complex ) > fun_co6147893885205795665omplex ).

tff(func_def_1732,type,
    aa_fun3721018923249493343omplex: ( fun_fu6652553491520710942omplex * fun_nat_complex ) > fun_co3258106519541737638omplex ).

tff(func_def_1733,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1734,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1735,type,
    aa_fun5379041630539201665omplex: ( fun_fu4528473944208963392omplex * fun_nat_complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1736,type,
    aa_fun7497765718855568684omplex: ( fun_fu3593947265352647275omplex * fun_nat_complex ) > fun_fu40286998686754419omplex ).

tff(func_def_1737,type,
    aa_fun7421131748584218370at_int: ( fun_fu4902120768161409089at_int * fun_nat_int ) > fun_in1521351555827773387at_int ).

tff(func_def_1738,type,
    aa_fun2315716387381795033at_int: ( fun_fu5519318738670804632at_int * fun_nat_int ) > fun_int_fun_nat_int ).

tff(func_def_1739,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1740,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1741,type,
    aa_fun6128006242533108349at_int: ( fun_fu1567874110255095356at_int * fun_nat_int ) > fun_nat_fun_nat_int ).

tff(func_def_1742,type,
    aa_fun5140708168904641446at_int: ( fun_fu960360787657196261at_int * fun_nat_int ) > fun_fu8464300013002972271at_int ).

tff(func_def_1743,type,
    aa_fun1958354139826840918omplex: ( fun_fu4781654129426620053omplex * fun_nat_nat ) > fun_nat_complex ).

tff(func_def_1744,type,
    aa_fun1613598493704395220at_int: ( fun_fu4512855384587262995at_int * fun_nat_nat ) > fun_nat_int ).

tff(func_def_1745,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1746,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1747,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1748,type,
    aa_fun6854695580826382482at_nat: ( fun_fu5935951186182374353at_nat * fun_nat_nat ) > fun_fu7002938529518989751at_nat ).

tff(func_def_1749,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1750,type,
    aa_fun1118977351124560894_nat_o: ( fun_fu7145897819039579925_nat_o * fun_nat_rat ) > fun_nat_o ).

tff(func_def_1751,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1752,type,
    aa_fun2663889555218712533at_rat: ( fun_fu6228432884689642900at_rat * fun_nat_rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1753,type,
    aa_fun5559679822142647773at_rat: ( fun_fu4710970720072501148at_rat * fun_nat_rat ) > fun_rat_fun_nat_rat ).

tff(func_def_1754,type,
    aa_fun8528462509625601970at_rat: ( fun_fu5304001865264412401at_rat * fun_nat_rat ) > fun_ra3995598502166916815at_rat ).

tff(func_def_1755,type,
    aa_fun8455130352500885026real_o: ( fun_fu1771228864347509049real_o * fun_nat_rat ) > fun_real_o ).

tff(func_def_1756,type,
    aa_fun6961092367326905321_rat_o: ( fun_fu6714665071556184448_rat_o * fun_nat_rat ) > fun_fun_nat_rat_o ).

tff(func_def_1757,type,
    aa_fun8314661095172591474_nat_o: ( fun_fu1806770557662746761_nat_o * fun_nat_rat ) > fun_fu7145897819039579925_nat_o ).

tff(func_def_1758,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1759,type,
    aa_fun6456149469358400426_nat_o: ( fun_fu6621322437453427393_nat_o * fun_nat_real ) > fun_nat_o ).

tff(func_def_1760,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1761,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1762,type,
    aa_fun4732485501138722137t_real: ( fun_fu8064956510386623256t_real * fun_nat_real ) > fun_re4238438383274954274t_real ).

tff(func_def_1763,type,
    aa_fun2548873334967081986t_real: ( fun_fu6810213084838398785t_real * fun_nat_real ) > fun_re8542384036533109323t_real ).

tff(func_def_1764,type,
    aa_fun5464864432877286986_nat_o: ( fun_fu6813129056075673441_nat_o * fun_nat_real ) > fun_fu6621322437453427393_nat_o ).

tff(func_def_1765,type,
    aa_fun8674848580393814182t_real: ( fun_fu1620311477532340197t_real * fun_nat_real ) > fun_fu6899955116716589935t_real ).

tff(func_def_1766,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1767,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1768,type,
    aa_fun240986247698212690t_real: ( fun_fu805630362171458961t_real * fun_op5246294523634652747omplex ) > fun_option_nat_real ).

tff(func_def_1769,type,
    aa_fun7124324411455820056at_nat: ( fun_fu8387170092758243159at_nat * fun_option_nat_nat ) > fun_option_nat_nat ).

tff(func_def_1770,type,
    aa_fun2975597672206361808t_real: ( fun_fu8047470260750595855t_real * fun_option_nat_real ) > fun_option_nat_real ).

tff(func_def_1771,type,
    aa_fun8399641135911395862nt_int: ( fun_fu3064074204415222357nt_int * fun_Pr2118491707810114563at_nat ) > fun_int_int ).

tff(func_def_1772,type,
    aa_fun856177901615811547_int_o: ( fun_fu4638078822479986034_int_o * fun_Pr2118491707810114563at_nat ) > fun_fun_int_int_o ).

tff(func_def_1773,type,
    aa_fun6920661532540581549_nat_o: ( fun_fu3373238862511017284_nat_o * fun_Pr2118491707810114563at_nat ) > fun_fu8391177546919232046_nat_o ).

tff(func_def_1774,type,
    aa_fun5868358341814070780real_o: ( fun_fu9050450510664235267real_o * fun_real_o ) > fun_real_o ).

tff(func_def_1775,type,
    aa_fun5513133441921015042al_nat: ( fun_fu2707946803925496145al_nat * fun_real_o ) > fun_real_nat ).

tff(func_def_1776,type,
    aa_fun2004904883527618314al_rat: ( fun_fu5551332503302594393al_rat * fun_real_o ) > fun_real_rat ).

tff(func_def_1777,type,
    aa_fun4448911596306054750l_real: ( fun_fu4478067837645853357l_real * fun_real_o ) > fun_real_real ).

tff(func_def_1778,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1779,type,
    aa_fun2786211375485122666l_real: ( fun_fu6344110373156359337l_real * fun_real_complex ) > fun_real_real ).

tff(func_def_1780,type,
    aa_fun8270430325945277160al_int: ( fun_fu3737244727311182119al_int * fun_real_int ) > fun_real_int ).

tff(func_def_1781,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1782,type,
    aa_fun3209485225100452678real_o: ( fun_fu6510078244439976541real_o * fun_real_rat ) > fun_real_o ).

tff(func_def_1783,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1784,type,
    aa_fun8459995508950063326real_o: ( fun_fu5587483295140630005real_o * fun_real_rat ) > fun_fu6510078244439976541real_o ).

tff(func_def_1785,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1786,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1787,type,
    aa_fun3693225987673163702real_o: ( fun_fu5533088652784741581real_o * fun_real_real ) > fun_fu3022329567491847689real_o ).

tff(func_def_1788,type,
    aa_fun5767801665285160478t_real: ( fun_fu1617006900395023197t_real * fun_set_nat_complex ) > fun_set_nat_real ).

tff(func_def_1789,type,
    aa_fun3386010016858254564at_nat: ( fun_fu1590586450949517859at_nat * fun_set_nat_nat ) > fun_set_nat_nat ).

tff(func_def_1790,type,
    aa_fun3569254276315353500t_real: ( fun_fu5354524256550068955t_real * fun_set_nat_real ) > fun_set_nat_real ).

tff(func_def_1791,type,
    aa_fun7909102309695209382al_o_o: ( fun_fu7981297689148232565al_o_o * fun_fun_nat_rat_o ) > fun_fun_real_o_o ).

tff(func_def_1792,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1793,type,
    aa_fun1584707981518017559real_o: ( fun_fu6910828598506988974real_o * fun_fu8328862064278946247at_rat ) > fun_fun_real_real_o ).

tff(func_def_1794,type,
    aa_fun9037873928781546661_rat_o: ( fun_fu1950632212952468284_rat_o * fun_fu8328862064278946247at_rat ) > fun_fu4846507671440591850_rat_o ).

tff(func_def_1795,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1796,type,
    fequal_o: fun_o_fun_o_o ).

tff(func_def_1797,type,
    fequal_int: fun_int_fun_int_o ).

tff(func_def_1798,type,
    fequal_nat: fun_nat_fun_nat_o ).

tff(func_def_1799,type,
    fequal_num: fun_num_fun_num_o ).

tff(func_def_1800,type,
    fequal_real: fun_real_fun_real_o ).

tff(func_def_1801,type,
    member_complex: complex > fun_set_complex_o ).

tff(func_def_1802,type,
    member_Extended_enat: extended_enat > fun_se8123728892507317397enat_o ).

tff(func_def_1803,type,
    member_int: int > fun_set_int_o ).

tff(func_def_1804,type,
    member_nat: nat > fun_set_nat_o ).

tff(func_def_1805,type,
    member_num: num > fun_set_num_o ).

tff(func_def_1806,type,
    member_rat: rat > fun_set_rat_o ).

tff(func_def_1807,type,
    member_real: real > fun_set_real_o ).

tff(func_def_1808,type,
    deg: nat ).

tff(func_def_1809,type,
    m: nat ).

tff(func_def_1810,type,
    ma: nat ).

tff(func_def_1811,type,
    mi: nat ).

tff(func_def_1812,type,
    na: nat ).

tff(func_def_1813,type,
    summary: vEBT_VEBT ).

tff(func_def_1814,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1815,type,
    x: nat ).

tff(func_def_1816,type,
    l0: nat ).

tff(func_def_1817,type,
    h1: nat ).

tff(func_def_1818,type,
    minlow2: option_nat ).

tff(func_def_1819,type,
    pr3: option_nat ).

tff(func_def_1820,type,
    l4: nat ).

tff(func_def_1821,type,
    h5: nat ).

tff(func_def_1822,type,
    minlow6: option_nat ).

tff(func_def_1823,type,
    pr7: option_nat ).

tff(func_def_1824,type,
    l8: nat ).

tff(func_def_1825,type,
    h9: nat ).

tff(func_def_1826,type,
    maxlow10: option_nat ).

tff(func_def_1827,type,
    sc11: option_nat ).

tff(func_def_1828,type,
    l12: nat ).

tff(func_def_1829,type,
    h13: nat ).

tff(func_def_1830,type,
    maxlow14: option_nat ).

tff(func_def_1831,type,
    sc15: option_nat ).

tff(func_def_1832,type,
    newnode16: vEBT_VEBT ).

tff(func_def_1833,type,
    newlist17: list_VEBT_VEBT ).

tff(func_def_1834,type,
    sn18: vEBT_VEBT ).

tff(func_def_1835,type,
    maxs19: option_nat ).

tff(func_def_1836,type,
    maxs20: option_nat ).

tff(func_def_1837,type,
    sn21: vEBT_VEBT ).

tff(func_def_1838,type,
    maxs22: option_nat ).

tff(func_def_1839,type,
    xn23: nat ).

tff(func_def_1840,type,
    h24: nat ).

tff(func_def_1841,type,
    newnode25: vEBT_VEBT ).

tff(func_def_1842,type,
    newlist26: list_VEBT_VEBT ).

tff(func_def_1843,type,
    sn27: vEBT_VEBT ).

tff(func_def_1844,type,
    maxs28: option_nat ).

tff(func_def_1845,type,
    maxs29: option_nat ).

tff(func_def_1846,type,
    sn30: vEBT_VEBT ).

tff(func_def_1847,type,
    maxs31: option_nat ).

tff(func_def_1848,type,
    newnode32: vEBT_VEBT ).

tff(func_def_1849,type,
    newlist33: list_VEBT_VEBT ).

tff(func_def_1850,type,
    sn34: vEBT_VEBT ).

tff(func_def_1851,type,
    maxs35: option_nat ).

tff(func_def_1852,type,
    xn36: nat ).

tff(func_def_1853,type,
    minn37: nat ).

tff(func_def_1854,type,
    h38: nat ).

tff(func_def_1855,type,
    newnode39: vEBT_VEBT ).

tff(func_def_1856,type,
    newlist40: list_VEBT_VEBT ).

tff(func_def_1857,type,
    sn41: vEBT_VEBT ).

tff(func_def_1858,type,
    maxs42: option_nat ).

tff(func_def_1859,type,
    m243: complex ).

tff(func_def_1860,type,
    m244: real ).

tff(func_def_1861,type,
    m245: rat ).

tff(func_def_1862,type,
    m246: nat ).

tff(func_def_1863,type,
    m247: int ).

tff(func_def_1864,type,
    m248: complex ).

tff(func_def_1865,type,
    m249: real ).

tff(func_def_1866,type,
    m250: rat ).

tff(func_def_1867,type,
    m251: nat ).

tff(func_def_1868,type,
    m252: int ).

tff(func_def_1869,type,
    w53: complex ).

tff(func_def_1870,type,
    w54: real ).

tff(func_def_1871,type,
    w55: rat ).

tff(func_def_1872,type,
    w56: nat ).

tff(func_def_1873,type,
    w57: int ).

tff(func_def_1874,type,
    w58: complex ).

tff(func_def_1875,type,
    w59: real ).

tff(func_def_1876,type,
    w60: rat ).

tff(func_def_1877,type,
    w61: nat ).

tff(func_def_1878,type,
    w62: int ).

tff(func_def_1879,type,
    d63: int ).

tff(func_def_1880,type,
    h64: nat ).

tff(func_def_1881,type,
    h65: nat ).

tff(func_def_1882,type,
    h66: nat ).

tff(func_def_1883,type,
    h67: nat ).

tff(func_def_1884,type,
    h68: nat ).

tff(func_def_1885,type,
    h69: nat ).

tff(func_def_1886,type,
    l70: nat ).

tff(func_def_1887,type,
    h71: nat ).

tff(func_def_1888,type,
    maxlow72: option_nat ).

tff(func_def_1889,type,
    sc73: option_nat ).

tff(func_def_1890,type,
    l74: nat ).

tff(func_def_1891,type,
    h75: nat ).

tff(func_def_1892,type,
    minlow76: option_nat ).

tff(func_def_1893,type,
    pr77: option_nat ).

tff(func_def_1894,type,
    xn78: nat ).

tff(func_def_1895,type,
    minn79: nat ).

tff(func_def_1896,type,
    h80: nat ).

tff(func_def_1897,type,
    newnode81: vEBT_VEBT ).

tff(func_def_1898,type,
    newlist82: list_VEBT_VEBT ).

tff(func_def_1899,type,
    sn83: vEBT_VEBT ).

tff(func_def_1900,type,
    maxs84: option_nat ).

tff(func_def_1901,type,
    xn85: nat ).

tff(func_def_1902,type,
    minn86: nat ).

tff(func_def_1903,type,
    h87: nat ).

tff(func_def_1904,type,
    newnode88: vEBT_VEBT ).

tff(func_def_1905,type,
    newlist89: list_VEBT_VEBT ).

tff(func_def_1906,type,
    sn90: vEBT_VEBT ).

tff(func_def_1907,type,
    maxs91: option_nat ).

tff(func_def_1908,type,
    l92: nat ).

tff(func_def_1909,type,
    h93: nat ).

tff(func_def_1910,type,
    maxlow94: option_nat ).

tff(func_def_1911,type,
    sc95: option_nat ).

tff(func_def_1912,type,
    l96: nat ).

tff(func_def_1913,type,
    h97: nat ).

tff(func_def_1914,type,
    minlow98: option_nat ).

tff(func_def_1915,type,
    pr99: option_nat ).

tff(func_def_1916,type,
    xn100: nat ).

tff(func_def_1917,type,
    h101: nat ).

tff(func_def_1918,type,
    xn102: nat ).

tff(func_def_1919,type,
    h103: nat ).

tff(func_def_1920,type,
    l104: real ).

tff(func_def_1921,type,
    l105: int ).

tff(func_def_1922,type,
    l106: complex ).

tff(func_def_1923,type,
    l107: code_integer ).

tff(func_def_1924,type,
    l108: rat ).

tff(func_def_1925,type,
    l109: nat ).

tff(func_def_1926,type,
    h110: nat ).

tff(func_def_1927,type,
    maxlow111: option_nat ).

tff(func_def_1928,type,
    l112: nat ).

tff(func_def_1929,type,
    h113: nat ).

tff(func_def_1930,type,
    minlow114: option_nat ).

tff(func_def_1931,type,
    l115: nat ).

tff(func_def_1932,type,
    h116: nat ).

tff(func_def_1933,type,
    minlow117: option_nat ).

tff(func_def_1934,type,
    l118: nat ).

tff(func_def_1935,type,
    h119: nat ).

tff(func_def_1936,type,
    maxlow120: option_nat ).

tff(func_def_1937,type,
    xn121: nat ).

tff(func_def_1938,type,
    h122: nat ).

tff(func_def_1939,type,
    h123: nat ).

tff(func_def_1940,type,
    xn124: nat ).

tff(func_def_1941,type,
    h125: nat ).

tff(func_def_1942,type,
    xn126: nat ).

tff(func_def_1943,type,
    h127: nat ).

tff(func_def_1944,type,
    h128: nat ).

tff(func_def_1945,type,
    xn129: nat ).

tff(func_def_1946,type,
    h130: nat ).

tff(func_def_1947,type,
    xn131: nat ).

tff(func_def_1948,type,
    l132: nat ).

tff(func_def_1949,type,
    h133: nat ).

tff(func_def_1950,type,
    newnode134: vEBT_VEBT ).

tff(func_def_1951,type,
    newlist135: list_VEBT_VEBT ).

tff(func_def_1952,type,
    sn136: vEBT_VEBT ).

tff(func_def_1953,type,
    maxs137: option_nat ).

tff(func_def_1954,type,
    pos138: nat ).

tff(func_def_1955,type,
    pos139: nat ).

tff(func_def_1956,type,
    pos140: nat ).

tff(func_def_1957,type,
    pos141: nat ).

tff(func_def_1958,type,
    pos142: nat ).

tff(func_def_1959,type,
    pos143: nat ).

tff(func_def_1960,type,
    pos144: nat ).

tff(func_def_1961,type,
    pos145: nat ).

tff(func_def_1962,type,
    pos146: nat ).

tff(func_def_1963,type,
    l147: nat ).

tff(func_def_1964,type,
    h148: nat ).

tff(func_def_1965,type,
    minlow149: option_nat ).

tff(func_def_1966,type,
    pr150: option_nat ).

tff(func_def_1967,type,
    l151: nat ).

tff(func_def_1968,type,
    h152: nat ).

tff(func_def_1969,type,
    maxlow153: option_nat ).

tff(func_def_1970,type,
    sc154: option_nat ).

tff(func_def_1971,type,
    l155: nat ).

tff(func_def_1972,type,
    h156: nat ).

tff(func_def_1973,type,
    minlow157: option_nat ).

tff(func_def_1974,type,
    pr158: option_nat ).

tff(func_def_1975,type,
    l159: nat ).

tff(func_def_1976,type,
    h160: nat ).

tff(func_def_1977,type,
    maxlow161: option_nat ).

tff(func_def_1978,type,
    sc162: option_nat ).

tff(func_def_1979,type,
    pos163: nat ).

tff(func_def_1980,type,
    pos164: nat ).

tff(func_def_1981,type,
    xn165: nat ).

tff(func_def_1982,type,
    l166: nat ).

tff(func_def_1983,type,
    h167: nat ).

tff(func_def_1984,type,
    newnode168: vEBT_VEBT ).

tff(func_def_1985,type,
    newlist169: list_VEBT_VEBT ).

tff(func_def_1986,type,
    sn170: vEBT_VEBT ).

tff(func_def_1987,type,
    maxs171: option_nat ).

tff(func_def_1988,type,
    pos172: nat ).

tff(func_def_1989,type,
    xn173: nat ).

tff(func_def_1990,type,
    l174: nat ).

tff(func_def_1991,type,
    h175: nat ).

tff(func_def_1992,type,
    newnode176: vEBT_VEBT ).

tff(func_def_1993,type,
    newlist177: list_VEBT_VEBT ).

tff(func_def_1994,type,
    sn178: vEBT_VEBT ).

tff(func_def_1995,type,
    maxs179: option_nat ).

tff(func_def_1996,type,
    l180: nat ).

tff(func_def_1997,type,
    h181: nat ).

tff(func_def_1998,type,
    maxlow182: option_nat ).

tff(func_def_1999,type,
    sc183: option_nat ).

tff(func_def_2000,type,
    l184: nat ).

tff(func_def_2001,type,
    h185: nat ).

tff(func_def_2002,type,
    minlow186: option_nat ).

tff(func_def_2003,type,
    pr187: option_nat ).

tff(func_def_2004,type,
    l188: nat ).

tff(func_def_2005,type,
    h189: nat ).

tff(func_def_2006,type,
    maxlow190: option_nat ).

tff(func_def_2007,type,
    sc191: option_nat ).

tff(func_def_2008,type,
    l192: nat ).

tff(func_def_2009,type,
    h193: nat ).

tff(func_def_2010,type,
    minlow194: option_nat ).

tff(func_def_2011,type,
    pr195: option_nat ).

tff(func_def_2012,type,
    xn196: nat ).

tff(func_def_2013,type,
    minn197: nat ).

tff(func_def_2014,type,
    h198: nat ).

tff(func_def_2015,type,
    newnode199: vEBT_VEBT ).

tff(func_def_2016,type,
    newlist200: list_VEBT_VEBT ).

tff(func_def_2017,type,
    sn201: vEBT_VEBT ).

tff(func_def_2018,type,
    maxs202: option_nat ).

tff(func_def_2019,type,
    l203: nat ).

tff(func_def_2020,type,
    h204: nat ).

tff(func_def_2021,type,
    maxlow205: option_nat ).

tff(func_def_2022,type,
    xn206: nat ).

tff(func_def_2023,type,
    h207: nat ).

tff(func_def_2024,type,
    xn208: nat ).

tff(func_def_2025,type,
    h209: nat ).

tff(func_def_2026,type,
    l210: nat ).

tff(func_def_2027,type,
    h211: nat ).

tff(func_def_2028,type,
    minlow212: option_nat ).

tff(func_def_2029,type,
    xn213: nat ).

tff(func_def_2030,type,
    h214: nat ).

tff(func_def_2031,type,
    h215: nat ).

tff(func_def_2032,type,
    h216: nat ).

tff(func_def_2033,type,
    h217: nat ).

tff(func_def_2034,type,
    h218: nat ).

tff(func_def_2035,type,
    pos219: nat ).

tff(func_def_2036,type,
    pos220: nat ).

tff(func_def_2037,type,
    pos221: nat ).

tff(func_def_2038,type,
    h222: nat ).

tff(func_def_2039,type,
    pos223: nat ).

tff(func_def_2040,type,
    pos224: nat ).

tff(func_def_2041,type,
    pos225: nat ).

tff(func_def_2042,type,
    pos226: nat ).

tff(func_def_2043,type,
    pos227: nat ).

tff(func_def_2044,type,
    pos228: nat ).

tff(func_def_2045,type,
    half229: nat ).

tff(func_def_2046,type,
    half230: nat ).

tff(func_def_2047,type,
    half231: nat ).

tff(func_def_2048,type,
    half232: nat ).

tff(func_def_2049,type,
    half233: nat ).

tff(func_def_2050,type,
    half234: nat ).

tff(func_def_2051,type,
    l235: code_integer ).

tff(func_def_2052,type,
    a236: int ).

tff(func_def_2053,type,
    a237: int ).

tff(func_def_2054,type,
    k238: code_integer ).

tff(func_def_2055,type,
    n239: nat ).

tff(func_def_2056,type,
    m2240: nat ).

tff(func_def_2057,type,
    n241: nat ).

tff(func_def_2058,type,
    m2242: nat ).

tff(func_def_2059,type,
    n243: nat ).

tff(func_def_2060,type,
    m2244: nat ).

tff(func_def_2061,type,
    n245: nat ).

tff(func_def_2062,type,
    m2246: nat ).

tff(func_def_2063,type,
    n247: nat ).

tff(func_def_2064,type,
    m2248: nat ).

tff(func_def_2065,type,
    n249: nat ).

tff(func_def_2066,type,
    m2250: nat ).

tff(func_def_2067,type,
    n251: nat ).

tff(func_def_2068,type,
    m2252: nat ).

tff(func_def_2069,type,
    k253: code_integer ).

tff(func_def_2070,type,
    l254: code_integer ).

tff(func_def_2071,type,
    m2255: nat ).

tff(func_def_2072,type,
    m2256: nat ).

tff(func_def_2073,type,
    l2257: int ).

tff(func_def_2074,type,
    l2258: num ).

tff(func_def_2075,type,
    l3259: num ).

tff(func_def_2076,type,
    l2260: nat ).

tff(func_def_2077,type,
    l3261: nat ).

tff(func_def_2080,type,
    iG262: ( $o * nat * nat ) > nat ).

tff(func_def_2081,type,
    iG263: ( $o * nat * nat ) > int ).

tff(func_def_2082,type,
    iG264: int > int ).

tff(func_def_2083,type,
    iG267: nat > rat ).

tff(func_def_2084,type,
    iG268: nat > nat ).

tff(func_def_2085,type,
    iG269: nat > int ).

tff(func_def_2086,type,
    iG270: nat > real ).

tff(func_def_2087,type,
    iG271: nat > complex ).

tff(func_def_2088,type,
    iG273: ( nat * nat ) > int ).

tff(func_def_2089,type,
    iG274: ( nat * nat * nat ) > nat ).

tff(func_def_2090,type,
    iG275: ( nat * nat * int ) > int ).

tff(func_def_2091,type,
    iG276: ( code_integer * nat ) > code_integer ).

tff(func_def_2092,type,
    iG277: ( int * nat ) > int ).

tff(func_def_2093,type,
    iG278: ( nat * nat ) > nat ).

tff(func_def_2094,type,
    iG279: ( nat * nat * int ) > int ).

tff(func_def_2095,type,
    iG280: ( nat * nat * nat ) > nat ).

tff(func_def_2096,type,
    iG281: ( nat * nat * int ) > int ).

tff(func_def_2097,type,
    iG282: ( nat * nat * nat ) > nat ).

tff(func_def_2098,type,
    iG283: ( nat * nat * int ) > int ).

tff(func_def_2099,type,
    iG284: ( nat * nat * nat ) > nat ).

tff(func_def_2100,type,
    iG285: complex > complex ).

tff(func_def_2101,type,
    iG286: real > real ).

tff(func_def_2102,type,
    iG287: rat > rat ).

tff(func_def_2103,type,
    iG288: real > real ).

tff(func_def_2104,type,
    iG289: rat > int ).

tff(func_def_2105,type,
    iG290: real > int ).

tff(func_def_2106,type,
    iG291: ( nat * nat ) > nat ).

tff(func_def_2107,type,
    iG292: ( nat * nat ) > nat ).

tff(func_def_2108,type,
    iG293: rat > int ).

tff(func_def_2109,type,
    iG294: real > int ).

tff(func_def_2110,type,
    iG295: ( nat * nat * nat ) > nat ).

tff(func_def_2111,type,
    iG296: ( int * int * int ) > int ).

tff(func_def_2112,type,
    iG297: ( complex * complex * complex ) > complex ).

tff(func_def_2113,type,
    iG298: ( real * real * real ) > real ).

tff(func_def_2114,type,
    iG299: ( rat * rat * rat ) > rat ).

tff(func_def_2115,type,
    iG300: ( nat * nat * nat ) > nat ).

tff(func_def_2116,type,
    iG327: ( complex * complex * complex ) > complex ).

tff(func_def_2117,type,
    iG328: ( real * real * real ) > real ).

tff(func_def_2118,type,
    iG329: ( rat * rat * rat ) > rat ).

tff(func_def_2119,type,
    iG330: ( complex * complex * complex ) > complex ).

tff(func_def_2120,type,
    iG331: ( real * real * real ) > real ).

tff(func_def_2121,type,
    iG332: ( rat * rat * rat ) > rat ).

tff(func_def_2122,type,
    iG333: ( complex * complex * complex ) > complex ).

tff(func_def_2123,type,
    iG334: ( real * real * real ) > real ).

tff(func_def_2124,type,
    iG335: ( rat * rat * rat ) > rat ).

tff(func_def_2125,type,
    iG352: ( nat * nat ) > nat ).

tff(func_def_2126,type,
    iG361: ( real * real ) > real ).

tff(func_def_2127,type,
    iG362: ( rat * rat ) > rat ).

tff(func_def_2128,type,
    iG363: ( nat * complex ) > complex ).

tff(func_def_2129,type,
    iG364: ( nat * real ) > real ).

tff(func_def_2130,type,
    iG365: ( nat * rat ) > rat ).

tff(func_def_2131,type,
    iG366: ( nat * nat ) > nat ).

tff(func_def_2132,type,
    iG367: ( nat * int ) > int ).

tff(func_def_2133,type,
    iG368: ( rat * rat ) > int ).

tff(func_def_2134,type,
    iG369: ( real * real ) > int ).

tff(func_def_2135,type,
    iG376: real > real ).

tff(func_def_2136,type,
    iG377: int > int ).

tff(func_def_2137,type,
    iG378: code_integer > code_integer ).

tff(func_def_2138,type,
    iG379: rat > rat ).

tff(func_def_2139,type,
    iG380: real > real ).

tff(func_def_2140,type,
    iG381: int > int ).

tff(func_def_2141,type,
    iG382: code_integer > code_integer ).

tff(func_def_2142,type,
    iG383: rat > rat ).

tff(func_def_2143,type,
    iG384: real > real ).

tff(func_def_2144,type,
    iG385: int > code_integer ).

tff(func_def_2145,type,
    iG386: int > complex ).

tff(func_def_2146,type,
    iG387: int > real ).

tff(func_def_2147,type,
    iG388: int > rat ).

tff(func_def_2148,type,
    iG389: int > int ).

tff(func_def_2149,type,
    iG410: ( real * real * real ) > real ).

tff(func_def_2150,type,
    iG411: ( complex * complex * complex ) > complex ).

tff(func_def_2151,type,
    iG412: ( rat * rat * rat ) > rat ).

tff(func_def_2152,type,
    iG413: ( real * real * real ) > real ).

tff(func_def_2153,type,
    iG414: ( complex * complex * complex ) > complex ).

tff(func_def_2154,type,
    iG415: ( rat * rat * rat ) > rat ).

tff(func_def_2155,type,
    iG416: ( real * real * real ) > real ).

tff(func_def_2156,type,
    iG417: ( complex * complex * complex ) > complex ).

tff(func_def_2157,type,
    iG418: ( rat * rat * rat ) > rat ).

tff(func_def_2158,type,
    iG435: ( nat * real ) > real ).

tff(func_def_2159,type,
    iG436: ( nat * int ) > int ).

tff(func_def_2160,type,
    iG437: ( nat * complex ) > complex ).

tff(func_def_2161,type,
    iG438: ( nat * code_integer ) > code_integer ).

tff(func_def_2162,type,
    iG439: ( nat * rat ) > rat ).

tff(func_def_2163,type,
    iG448: nat > real ).

tff(func_def_2164,type,
    iG449: nat > int ).

tff(func_def_2165,type,
    iG450: nat > complex ).

tff(func_def_2166,type,
    iG451: nat > code_integer ).

tff(func_def_2167,type,
    iG452: nat > rat ).

tff(func_def_2168,type,
    iG453: int > int ).

tff(func_def_2169,type,
    iG454: ( nat * nat ) > nat ).

tff(func_def_2170,type,
    iG455: ( nat * nat ) > nat ).

tff(func_def_2171,type,
    iG456: nat > complex ).

tff(func_def_2172,type,
    iG457: nat > real ).

tff(func_def_2173,type,
    iG458: nat > rat ).

tff(func_def_2174,type,
    iG459: nat > nat ).

tff(func_def_2175,type,
    iG460: nat > int ).

tff(func_def_2176,type,
    iG461: ( nat * nat ) > nat ).

tff(func_def_2177,type,
    iG462: nat > nat ).

tff(func_def_2178,type,
    iG463: int > int ).

tff(func_def_2179,type,
    iG464: code_integer > code_integer ).

tff(func_def_2180,type,
    iG465: ( nat * nat ) > nat ).

tff(func_def_2181,type,
    iG466: ( nat * nat ) > nat ).

tff(func_def_2182,type,
    iG467: ( nat * nat ) > nat ).

tff(func_def_2183,type,
    iG468: ( nat * code_integer ) > code_integer ).

tff(func_def_2184,type,
    iG469: ( nat * int ) > int ).

tff(func_def_2185,type,
    iG470: ( nat * nat ) > nat ).

tff(func_def_2186,type,
    iG471: ( int * real ) > real ).

tff(func_def_2187,type,
    iG472: ( nat * code_integer ) > code_integer ).

tff(func_def_2188,type,
    iG473: ( nat * int ) > int ).

tff(func_def_2189,type,
    bG474: ( nat * list_o ) > $o ).

tff(func_def_2190,type,
    bG475: $o > $o ).

tff(func_def_2191,type,
    bG476: $o > $o ).

tff(func_def_2192,type,
    bG477: $o > $o ).

tff(func_def_2193,type,
    bG478: ( nat * list_o ) > $o ).

tff(func_def_2194,type,
    bG479: $o > $o ).

tff(func_def_2195,type,
    bG480: $o > $o ).

tff(func_def_2196,type,
    bG481: $o > $o ).

tff(func_def_2197,type,
    bG482: $o > $o ).

tff(func_def_2198,type,
    bG483: ( nat * list_o ) > $o ).

tff(func_def_2199,type,
    bG484: $o > $o ).

tff(func_def_2200,type,
    bG485: ( nat * list_o ) > $o ).

tff(func_def_2201,type,
    bG486: $o > $o ).

tff(func_def_2202,type,
    bG487: $o > $o ).

tff(func_def_2203,type,
    bG488: ( nat * list_o ) > $o ).

tff(func_def_2204,type,
    iG489: ( nat * nat ) > fun_int_int ).

tff(func_def_2205,type,
    iG490: ( int * int ) > int ).

tff(func_def_2206,type,
    iG491: ( int * int ) > int ).

tff(func_def_2207,type,
    iG492: ( int * int ) > int ).

tff(func_def_2208,type,
    iG493: ( int * int ) > int ).

tff(func_def_2209,type,
    iG494: ( int * int ) > int ).

tff(func_def_2210,type,
    bG495: ( nat * list_o ) > $o ).

tff(func_def_2211,type,
    bG496: $o > $o ).

tff(func_def_2212,type,
    iG497: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_2213,type,
    iG498: ( int * num * int ) > product_prod_int_int ).

tff(func_def_2214,type,
    iG499: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2215,type,
    iG500: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2216,type,
    iG501: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2217,type,
    bG502: $o > $o ).

tff(func_def_2218,type,
    bG503: $o > $o ).

tff(func_def_2219,type,
    bG504: $o > $o ).

tff(func_def_2220,type,
    bG505: $o > $o ).

tff(func_def_2221,type,
    bG506: $o > $o ).

tff(func_def_2222,type,
    bG507: $o > $o ).

tff(func_def_2223,type,
    bG508: $o > $o ).

tff(func_def_2224,type,
    bG509: $o > $o ).

tff(func_def_2225,type,
    bG510: $o > $o ).

tff(func_def_2226,type,
    bG511: $o > $o ).

tff(func_def_2227,type,
    bG512: ( nat * list_o ) > $o ).

tff(func_def_2228,type,
    bG513: ( nat * list_o ) > $o ).

tff(func_def_2229,type,
    bG514: $o > $o ).

tff(func_def_2230,type,
    bG515: $o > $o ).

tff(func_def_2231,type,
    bG516: $o > $o ).

tff(func_def_2232,type,
    bG517: $o > $o ).

tff(func_def_2233,type,
    bG518: $o > $o ).

tff(func_def_2234,type,
    bG519: $o > $o ).

tff(func_def_2235,type,
    bG520: $o > $o ).

tff(func_def_2236,type,
    bG521: $o > $o ).

tff(func_def_2237,type,
    bG522: $o > $o ).

tff(func_def_2238,type,
    bG523: $o > $o ).

tff(func_def_2239,type,
    bG524: $o > $o ).

tff(func_def_2240,type,
    bG525: $o > $o ).

tff(func_def_2241,type,
    bG526: $o > $o ).

tff(func_def_2242,type,
    bG527: $o > $o ).

tff(func_def_2243,type,
    bG528: $o > $o ).

tff(func_def_2244,type,
    bG529: $o > $o ).

tff(func_def_2245,type,
    bG530: $o > $o ).

tff(func_def_2246,type,
    bG531: $o > $o ).

tff(func_def_2247,type,
    bG532: $o > $o ).

tff(func_def_2248,type,
    bG533: $o > $o ).

tff(func_def_2249,type,
    iG534: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2250,type,
    bG536: $o > $o ).

tff(func_def_2251,type,
    iG537: ( nat * nat * list_nat * nat ) > nat ).

tff(func_def_2252,type,
    iG538: ( nat * nat * list_int * int ) > int ).

tff(func_def_2253,type,
    bG539: $o > $o ).

tff(func_def_2254,type,
    bG540: $o > $o ).

tff(func_def_2255,type,
    bG541: $o > $o ).

tff(func_def_2256,type,
    bG542: $o > $o ).

tff(func_def_2257,type,
    bG543: $o > $o ).

tff(func_def_2258,type,
    bG544: $o > $o ).

tff(func_def_2259,type,
    bG545: $o > $o ).

tff(func_def_2260,type,
    bG546: $o > $o ).

tff(func_def_2261,type,
    bG547: $o > $o ).

tff(func_def_2262,type,
    bG548: $o > $o ).

tff(func_def_2263,type,
    bG549: $o > $o ).

tff(func_def_2264,type,
    bG550: $o > $o ).

tff(func_def_2265,type,
    bG551: $o > $o ).

tff(func_def_2266,type,
    bG552: $o > $o ).

tff(func_def_2267,type,
    bG553: $o > $o ).

tff(func_def_2268,type,
    bG554: $o > $o ).

tff(func_def_2269,type,
    bG555: $o > $o ).

tff(func_def_2270,type,
    bG556: $o > $o ).

tff(func_def_2271,type,
    bG557: $o > $o ).

tff(func_def_2272,type,
    bG558: $o > $o ).

tff(func_def_2273,type,
    bG559: $o > $o ).

tff(func_def_2274,type,
    bG560: $o > $o ).

tff(func_def_2275,type,
    bG561: $o > $o ).

tff(func_def_2276,type,
    bG562: $o > $o ).

tff(func_def_2277,type,
    bG563: $o > $o ).

tff(func_def_2278,type,
    bG564: $o > $o ).

tff(func_def_2279,type,
    bG565: $o > $o ).

tff(func_def_2280,type,
    iG566: $o > option_nat ).

tff(func_def_2281,type,
    iG567: ( $o * $o ) > option_nat ).

tff(func_def_2282,type,
    bG568: $o > $o ).

tff(func_def_2283,type,
    bG569: $o > $o ).

tff(func_def_2284,type,
    iG570: $o > option_nat ).

tff(func_def_2285,type,
    iG571: ( $o * $o ) > option_nat ).

tff(func_def_2286,type,
    bG572: $o > $o ).

tff(func_def_2287,type,
    bG573: $o > $o ).

tff(func_def_2288,type,
    iG574: $o > option_nat ).

tff(func_def_2289,type,
    bG575: $o > $o ).

tff(func_def_2290,type,
    bG576: $o > $o ).

tff(func_def_2291,type,
    iG577: $o > option_nat ).

tff(func_def_2292,type,
    bG578: $o > $o ).

tff(func_def_2293,type,
    bG579: $o > $o ).

tff(func_def_2294,type,
    iG580: $o > option_nat ).

tff(func_def_2295,type,
    iG581: ( $o * $o ) > option_nat ).

tff(func_def_2296,type,
    iG582: $o > option_nat ).

tff(func_def_2297,type,
    iG583: ( $o * $o ) > option_nat ).

tff(func_def_2298,type,
    bG584: $o > $o ).

tff(func_def_2299,type,
    bG585: $o > $o ).

tff(func_def_2300,type,
    iG586: $o > option_nat ).

tff(func_def_2301,type,
    iG587: ( $o * $o ) > option_nat ).

tff(func_def_2302,type,
    bG588: $o > $o ).

tff(func_def_2303,type,
    bG589: $o > $o ).

tff(func_def_2304,type,
    bG590: $o > $o ).

tff(func_def_2305,type,
    bG591: $o > $o ).

tff(func_def_2306,type,
    bG592: $o > $o ).

tff(func_def_2307,type,
    bG593: $o > $o ).

tff(func_def_2308,type,
    iG594: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2309,type,
    iG595: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2310,type,
    iG596: ( num * num ) > extended_enat ).

tff(func_def_2311,type,
    iG597: ( num * num ) > code_integer ).

tff(func_def_2312,type,
    iG598: ( num * num ) > real ).

tff(func_def_2313,type,
    iG599: ( num * num ) > rat ).

tff(func_def_2314,type,
    iG600: ( num * num ) > nat ).

tff(func_def_2315,type,
    iG601: ( num * num ) > int ).

tff(func_def_2316,type,
    iG602: ( num * num ) > real ).

tff(func_def_2317,type,
    iG603: ( num * num ) > code_integer ).

tff(func_def_2318,type,
    iG604: ( num * num ) > rat ).

tff(func_def_2319,type,
    iG605: ( num * num ) > int ).

tff(func_def_2320,type,
    iG606: ( num * num ) > real ).

tff(func_def_2321,type,
    iG607: ( num * num ) > code_integer ).

tff(func_def_2322,type,
    iG608: ( num * num ) > rat ).

tff(func_def_2323,type,
    iG609: ( num * num ) > int ).

tff(func_def_2324,type,
    iG610: ( num * num ) > real ).

tff(func_def_2325,type,
    iG611: ( num * num ) > code_integer ).

tff(func_def_2326,type,
    iG612: ( num * num ) > rat ).

tff(func_def_2327,type,
    iG613: ( num * num ) > int ).

tff(func_def_2328,type,
    iG614: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2329,type,
    iG615: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2330,type,
    iG616: ( set_nat * set_nat ) > set_nat ).

tff(func_def_2331,type,
    iG617: ( rat * rat ) > rat ).

tff(func_def_2332,type,
    iG618: ( num * num ) > num ).

tff(func_def_2333,type,
    iG619: ( nat * nat ) > nat ).

tff(func_def_2334,type,
    iG620: ( int * int ) > int ).

tff(func_def_2335,type,
    bG621: $o > $o ).

tff(func_def_2336,type,
    bG622: $o > $o ).

tff(func_def_2337,type,
    bG623: $o > $o ).

tff(func_def_2338,type,
    bG624: $o > $o ).

tff(func_def_2339,type,
    bG625: $o > $o ).

tff(func_def_2340,type,
    bG626: $o > $o ).

tff(func_def_2341,type,
    iG627: ( nat * nat ) > nat ).

tff(func_def_2342,type,
    iG628: ( nat * nat ) > nat ).

tff(func_def_2343,type,
    bG629: $o > $o ).

tff(func_def_2344,type,
    bG630: $o > $o ).

tff(func_def_2345,type,
    iG631: nat > nat ).

tff(func_def_2346,type,
    bG634: $o > $o ).

tff(func_def_2347,type,
    bG635: $o > $o ).

tff(func_def_2348,type,
    iG636: ( int * int ) > int ).

tff(func_def_2349,type,
    iG637: ( int * int ) > int ).

tff(func_def_2350,type,
    iG638: ( int * int ) > int ).

tff(func_def_2351,type,
    lG639: ( nat * nat ) > nat ).

tff(func_def_2352,type,
    lG640: ( nat * nat ) > nat ).

tff(func_def_2353,type,
    lG641: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2354,type,
    lG642: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2355,type,
    iG643: ( nat * nat ) > option_nat ).

tff(func_def_2356,type,
    iG644: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2357,type,
    iG645: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2358,type,
    lG646: ( nat * nat ) > nat ).

tff(func_def_2359,type,
    lG647: ( nat * nat ) > nat ).

tff(func_def_2360,type,
    lG648: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2361,type,
    lG649: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2362,type,
    iG650: ( nat * nat ) > option_nat ).

tff(func_def_2363,type,
    iG651: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2364,type,
    iG652: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2365,type,
    iG653: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2366,type,
    lG654: ( nat * nat ) > nat ).

tff(func_def_2367,type,
    lG655: ( nat * nat ) > nat ).

tff(func_def_2368,type,
    lG656: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2369,type,
    lG657: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2370,type,
    iG658: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2371,type,
    iG659: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2372,type,
    iG660: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2373,type,
    lG661: ( nat * nat ) > nat ).

tff(func_def_2374,type,
    lG662: ( nat * nat ) > nat ).

tff(func_def_2375,type,
    lG663: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2376,type,
    lG664: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2377,type,
    iG665: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2378,type,
    iG666: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2379,type,
    lG667: ( list_VEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2380,type,
    lG668: ( list_VEBT_VEBT * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2381,type,
    lG669: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2382,type,
    lG670: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2383,type,
    iG671: ( nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2384,type,
    iG672: ( nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2385,type,
    iG673: ( nat * nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2386,type,
    iG674: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2387,type,
    lG675: vEBT_VEBT > option_nat ).

tff(func_def_2388,type,
    iG676: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2389,type,
    iG677: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2390,type,
    lG678: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2391,type,
    lG679: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2392,type,
    iG680: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2393,type,
    iG681: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2394,type,
    iG682: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2395,type,
    iG683: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2396,type,
    lG684: ( nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2397,type,
    lG685: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > nat ).

tff(func_def_2398,type,
    lG686: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2399,type,
    lG687: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_2400,type,
    lG688: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2401,type,
    lG689: ( list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2402,type,
    iG690: ( nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2403,type,
    iG691: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2404,type,
    iG692: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2405,type,
    iG693: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2406,type,
    iG694: ( list_VEBT_VEBT * nat * vEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2407,type,
    lG695: vEBT_VEBT > option_nat ).

tff(func_def_2408,type,
    iG696: ( vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2409,type,
    iG697: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2410,type,
    lG698: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2411,type,
    lG699: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2412,type,
    iG700: ( nat * vEBT_VEBT * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2413,type,
    iG701: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2414,type,
    iG702: ( nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2415,type,
    iG703: ( vEBT_VEBT * vEBT_VEBT * list_VEBT_VEBT * nat * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2416,type,
    lG704: ( list_VEBT_VEBT * nat * nat ) > vEBT_VEBT ).

tff(func_def_2417,type,
    lG705: ( list_VEBT_VEBT * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2418,type,
    lG706: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2419,type,
    lG707: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2420,type,
    iG708: ( nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2421,type,
    iG709: ( nat * nat * nat * vEBT_VEBT * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2422,type,
    iG710: ( nat * nat * nat * nat * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2423,type,
    iG711: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2424,type,
    lG712: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2425,type,
    iG713: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2426,type,
    lG714: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2427,type,
    iG715: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2428,type,
    lG716: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2429,type,
    lG717: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2430,type,
    lG718: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2431,type,
    lG719: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2432,type,
    lG720: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2433,type,
    iG721: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2434,type,
    iG722: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2435,type,
    iG723: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2436,type,
    iG724: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2437,type,
    iG725: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2438,type,
    iG726: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2439,type,
    iG727: ( code_integer * code_integer ) > code_integer ).

tff(func_def_2440,type,
    iG728: ( set_nat * set_nat ) > set_nat ).

tff(func_def_2441,type,
    iG729: ( rat * rat ) > rat ).

tff(func_def_2442,type,
    iG730: ( num * num ) > num ).

tff(func_def_2443,type,
    iG731: ( nat * nat ) > nat ).

tff(func_def_2444,type,
    iG732: ( int * int ) > int ).

tff(func_def_2445,type,
    lG733: num > complex ).

tff(func_def_2446,type,
    lG734: num > real ).

tff(func_def_2447,type,
    lG735: num > rat ).

tff(func_def_2448,type,
    lG736: num > nat ).

tff(func_def_2449,type,
    lG737: num > int ).

tff(func_def_2450,type,
    lG738: num > complex ).

tff(func_def_2451,type,
    lG739: num > real ).

tff(func_def_2452,type,
    lG740: num > rat ).

tff(func_def_2453,type,
    lG741: num > nat ).

tff(func_def_2454,type,
    lG742: num > int ).

tff(func_def_2455,type,
    lG743: ( complex * num ) > complex ).

tff(func_def_2456,type,
    lG744: ( real * num ) > real ).

tff(func_def_2457,type,
    lG745: ( rat * num ) > rat ).

tff(func_def_2458,type,
    lG746: ( nat * num ) > nat ).

tff(func_def_2459,type,
    lG747: ( int * num ) > int ).

tff(func_def_2460,type,
    lG748: ( complex * num ) > complex ).

tff(func_def_2461,type,
    lG749: ( real * num ) > real ).

tff(func_def_2462,type,
    lG750: ( rat * num ) > rat ).

tff(func_def_2463,type,
    lG751: ( nat * num ) > nat ).

tff(func_def_2464,type,
    lG752: ( int * num ) > int ).

tff(func_def_2465,type,
    lG753: ( int * int ) > int ).

tff(func_def_2466,type,
    iG754: ( int * int ) > nat ).

tff(func_def_2467,type,
    iG755: ( int * int ) > nat ).

tff(func_def_2468,type,
    bG756: $o > $o ).

tff(func_def_2469,type,
    bG757: $o > $o ).

tff(func_def_2470,type,
    iG758: nat > nat ).

tff(func_def_2471,type,
    lG759: ( nat * nat ) > nat ).

tff(func_def_2472,type,
    lG765: ( nat * nat ) > nat ).

tff(func_def_2473,type,
    bG773: $o > $o ).

tff(func_def_2474,type,
    bG774: $o > $o ).

tff(func_def_2475,type,
    lG775: ( nat * nat ) > nat ).

tff(func_def_2476,type,
    iG776: ( list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2477,type,
    iG777: ( nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2478,type,
    iG778: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2479,type,
    iG779: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2480,type,
    iG780: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2481,type,
    lG781: ( nat * nat ) > nat ).

tff(func_def_2482,type,
    bG789: $o > $o ).

tff(func_def_2483,type,
    bG790: $o > $o ).

tff(func_def_2484,type,
    lG791: ( nat * nat ) > nat ).

tff(func_def_2485,type,
    bG799: $o > $o ).

tff(func_def_2486,type,
    bG800: $o > $o ).

tff(func_def_2487,type,
    lG801: ( nat * nat ) > nat ).

tff(func_def_2488,type,
    iG802: ( list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2489,type,
    iG803: ( nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2490,type,
    iG804: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2491,type,
    iG805: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2492,type,
    iG806: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2493,type,
    iG807: nat > nat ).

tff(func_def_2494,type,
    bG808: $o > $o ).

tff(func_def_2495,type,
    bG809: $o > $o ).

tff(func_def_2496,type,
    lG810: ( nat * nat ) > nat ).

tff(func_def_2497,type,
    lG811: ( nat * nat ) > nat ).

tff(func_def_2498,type,
    lG812: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2499,type,
    lG813: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2500,type,
    iG814: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2501,type,
    iG815: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2502,type,
    iG816: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2503,type,
    iG817: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2504,type,
    lG818: ( nat * nat ) > nat ).

tff(func_def_2505,type,
    lG819: ( nat * nat ) > nat ).

tff(func_def_2506,type,
    lG820: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2507,type,
    lG821: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2508,type,
    iG822: ( nat * nat ) > option_nat ).

tff(func_def_2509,type,
    iG823: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2510,type,
    iG824: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2511,type,
    iG825: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2512,type,
    iG826: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2513,type,
    lG827: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2514,type,
    iG828: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2515,type,
    lG829: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2516,type,
    iG830: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2517,type,
    lG831: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2518,type,
    lG832: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2519,type,
    lG833: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2520,type,
    lG834: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2521,type,
    lG835: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2522,type,
    iG836: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2523,type,
    iG837: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2524,type,
    iG838: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2525,type,
    iG839: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2526,type,
    iG840: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2527,type,
    iG841: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2528,type,
    iG842: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2529,type,
    lG843: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2530,type,
    iG844: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2531,type,
    lG845: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2532,type,
    iG846: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2533,type,
    lG847: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2534,type,
    lG848: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2535,type,
    lG849: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2536,type,
    lG850: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2537,type,
    lG851: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2538,type,
    iG852: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2539,type,
    iG853: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2540,type,
    iG854: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2541,type,
    iG855: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2542,type,
    iG856: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2543,type,
    iG857: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2544,type,
    iG858: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2545,type,
    bG859: $o > $o ).

tff(func_def_2546,type,
    bG860: $o > $o ).

tff(func_def_2547,type,
    bG861: $o > $o ).

tff(func_def_2548,type,
    bG862: $o > $o ).

tff(func_def_2549,type,
    bG863: $o > $o ).

tff(func_def_2550,type,
    bG864: $o > $o ).

tff(func_def_2551,type,
    bG865: $o > $o ).

tff(func_def_2552,type,
    bG866: $o > $o ).

tff(func_def_2553,type,
    bG867: $o > $o ).

tff(func_def_2554,type,
    bG868: $o > $o ).

tff(func_def_2555,type,
    lG869: ( nat * nat ) > nat ).

tff(func_def_2556,type,
    lG870: ( nat * nat ) > nat ).

tff(func_def_2557,type,
    lG871: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2558,type,
    lG872: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2559,type,
    iG873: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2560,type,
    iG874: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2561,type,
    iG875: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2562,type,
    iG876: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2563,type,
    bG877: $o > $o ).

tff(func_def_2564,type,
    bG878: $o > $o ).

tff(func_def_2565,type,
    iG879: $o > option_nat ).

tff(func_def_2566,type,
    bG880: $o > $o ).

tff(func_def_2567,type,
    bG881: $o > $o ).

tff(func_def_2568,type,
    lG882: ( nat * nat ) > nat ).

tff(func_def_2569,type,
    lG883: ( nat * nat ) > nat ).

tff(func_def_2570,type,
    lG884: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2571,type,
    lG885: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2572,type,
    iG886: ( nat * nat ) > option_nat ).

tff(func_def_2573,type,
    iG887: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2574,type,
    iG888: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2575,type,
    iG889: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2576,type,
    iG890: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2577,type,
    iG891: $o > option_nat ).

tff(func_def_2578,type,
    iG892: ( $o * $o ) > option_nat ).

tff(func_def_2579,type,
    bG893: $o > $o ).

tff(func_def_2580,type,
    bG894: $o > $o ).

tff(func_def_2581,type,
    iG895: $o > option_nat ).

tff(func_def_2582,type,
    bG896: $o > $o ).

tff(func_def_2583,type,
    bG897: $o > $o ).

tff(func_def_2584,type,
    bG898: $o > $o ).

tff(func_def_2585,type,
    bG899: $o > $o ).

tff(func_def_2586,type,
    lG900: ( nat * nat ) > nat ).

tff(func_def_2587,type,
    iG901: ( nat * nat ) > nat ).

tff(func_def_2588,type,
    lG902: ( nat * nat * nat ) > nat ).

tff(func_def_2589,type,
    iG903: ( nat * nat ) > nat ).

tff(func_def_2590,type,
    iG904: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2591,type,
    iG905: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2592,type,
    bG906: $o > $o ).

tff(func_def_2593,type,
    bG907: $o > $o ).

tff(func_def_2594,type,
    bG908: $o > $o ).

tff(func_def_2595,type,
    bG909: $o > $o ).

tff(func_def_2596,type,
    iG910: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2597,type,
    iG911: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2598,type,
    bG912: $o > $o ).

tff(func_def_2599,type,
    bG913: $o > $o ).

tff(func_def_2600,type,
    lG914: ( nat * nat ) > nat ).

tff(func_def_2601,type,
    iG915: ( nat * nat ) > nat ).

tff(func_def_2602,type,
    lG916: ( nat * nat * nat ) > nat ).

tff(func_def_2603,type,
    iG917: ( nat * nat ) > nat ).

tff(func_def_2604,type,
    iG918: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2605,type,
    iG919: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2606,type,
    lG920: int > real ).

tff(func_def_2607,type,
    iG921: int > real ).

tff(func_def_2608,type,
    iG922: int > real ).

tff(func_def_2609,type,
    iG923: int > real ).

tff(func_def_2610,type,
    lG924: int > int ).

tff(func_def_2611,type,
    iG925: int > int ).

tff(func_def_2612,type,
    iG926: int > int ).

tff(func_def_2613,type,
    iG927: int > int ).

tff(func_def_2614,type,
    lG928: int > complex ).

tff(func_def_2615,type,
    iG929: int > complex ).

tff(func_def_2616,type,
    iG930: int > complex ).

tff(func_def_2617,type,
    iG931: int > complex ).

tff(func_def_2618,type,
    lG932: int > code_integer ).

tff(func_def_2619,type,
    iG933: int > code_integer ).

tff(func_def_2620,type,
    iG934: int > code_integer ).

tff(func_def_2621,type,
    iG935: int > code_integer ).

tff(func_def_2622,type,
    lG936: int > rat ).

tff(func_def_2623,type,
    iG937: int > rat ).

tff(func_def_2624,type,
    iG938: int > rat ).

tff(func_def_2625,type,
    iG939: int > rat ).

tff(func_def_2626,type,
    lG940: ( nat * nat ) > nat ).

tff(func_def_2627,type,
    lG941: ( nat * nat ) > nat ).

tff(func_def_2628,type,
    lG942: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2629,type,
    iG943: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2630,type,
    iG944: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2631,type,
    iG945: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2632,type,
    bG946: $o > $o ).

tff(func_def_2633,type,
    bG947: $o > $o ).

tff(func_def_2634,type,
    bG948: $o > $o ).

tff(func_def_2635,type,
    bG949: $o > $o ).

tff(func_def_2636,type,
    lG950: ( nat * nat ) > nat ).

tff(func_def_2637,type,
    lG951: ( nat * nat ) > nat ).

tff(func_def_2638,type,
    lG952: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2639,type,
    iG953: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2640,type,
    iG954: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2641,type,
    iG955: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2642,type,
    bG956: $o > $o ).

tff(func_def_2643,type,
    bG957: $o > $o ).

tff(func_def_2644,type,
    bG958: $o > $o ).

tff(func_def_2645,type,
    bG959: $o > $o ).

tff(func_def_2646,type,
    bG960: $o > $o ).

tff(func_def_2647,type,
    bG961: $o > $o ).

tff(func_def_2648,type,
    bG962: $o > $o ).

tff(func_def_2649,type,
    bG963: $o > $o ).

tff(func_def_2650,type,
    bG964: $o > $o ).

tff(func_def_2651,type,
    bG965: $o > $o ).

tff(func_def_2652,type,
    bG966: $o > $o ).

tff(func_def_2653,type,
    bG967: $o > $o ).

tff(func_def_2654,type,
    bG968: $o > $o ).

tff(func_def_2655,type,
    bG969: $o > $o ).

tff(func_def_2656,type,
    bG970: $o > $o ).

tff(func_def_2657,type,
    bG971: $o > $o ).

tff(func_def_2658,type,
    bG972: $o > $o ).

tff(func_def_2659,type,
    bG973: $o > $o ).

tff(func_def_2660,type,
    iG974: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2661,type,
    iG975: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2662,type,
    lG976: ( nat * nat ) > nat ).

tff(func_def_2663,type,
    lG977: ( nat * nat ) > nat ).

tff(func_def_2664,type,
    lG978: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2665,type,
    iG979: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2666,type,
    iG980: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2667,type,
    iG981: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2668,type,
    lG982: ( nat * nat ) > nat ).

tff(func_def_2669,type,
    lG983: ( nat * nat ) > nat ).

tff(func_def_2670,type,
    lG984: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2671,type,
    iG985: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2672,type,
    iG986: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2673,type,
    iG987: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2674,type,
    lG988: ( nat * nat ) > nat ).

tff(func_def_2675,type,
    iG989: ( nat * nat ) > nat ).

tff(func_def_2676,type,
    lG990: ( nat * nat * nat ) > nat ).

tff(func_def_2677,type,
    iG991: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2678,type,
    iG992: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2679,type,
    iG993: nat > nat ).

tff(func_def_2680,type,
    bG994: $o > $o ).

tff(func_def_2681,type,
    bG995: $o > $o ).

tff(func_def_2682,type,
    lG996: ( nat * nat ) > nat ).

tff(func_def_2683,type,
    iG997: ( list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2684,type,
    iG998: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2685,type,
    iG999: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2686,type,
    iG1000: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2687,type,
    iG1001: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2688,type,
    iG1002: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2689,type,
    bG1003: $o > $o ).

tff(func_def_2690,type,
    bG1004: $o > $o ).

tff(func_def_2691,type,
    lG1005: ( nat * nat ) > nat ).

tff(func_def_2692,type,
    iG1006: ( nat * nat ) > nat ).

tff(func_def_2693,type,
    lG1007: ( nat * nat * nat ) > nat ).

tff(func_def_2694,type,
    iG1008: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2695,type,
    iG1009: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2696,type,
    lG1010: ( nat * nat ) > nat ).

tff(func_def_2697,type,
    iG1011: ( nat * nat ) > nat ).

tff(func_def_2698,type,
    lG1012: ( nat * nat * nat ) > nat ).

tff(func_def_2699,type,
    iG1013: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2700,type,
    iG1014: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2701,type,
    bG1015: $o > $o ).

tff(func_def_2702,type,
    bG1016: $o > $o ).

tff(func_def_2703,type,
    lG1017: ( nat * nat ) > nat ).

tff(func_def_2704,type,
    iG1018: ( list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2705,type,
    iG1019: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2706,type,
    iG1020: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2707,type,
    iG1021: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2708,type,
    iG1022: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2709,type,
    iG1023: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_2710,type,
    lG1024: ( nat * nat ) > nat ).

tff(func_def_2711,type,
    iG1025: ( nat * nat ) > nat ).

tff(func_def_2712,type,
    lG1026: ( nat * nat * nat ) > nat ).

tff(func_def_2713,type,
    iG1027: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2714,type,
    iG1028: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2715,type,
    iG1029: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2716,type,
    lG1030: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2717,type,
    iG1031: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2718,type,
    lG1032: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2719,type,
    lG1033: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2720,type,
    lG1034: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2721,type,
    lG1035: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2722,type,
    lG1036: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2723,type,
    lG1037: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2724,type,
    iG1038: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2725,type,
    iG1039: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2726,type,
    iG1040: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2727,type,
    iG1041: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2728,type,
    iG1042: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2729,type,
    iG1043: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2730,type,
    iG1044: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2731,type,
    bG1045: $o > $o ).

tff(func_def_2732,type,
    bG1046: $o > $o ).

tff(func_def_2733,type,
    bG1047: $o > $o ).

tff(func_def_2734,type,
    bG1048: $o > $o ).

tff(func_def_2735,type,
    bG1049: $o > $o ).

tff(func_def_2736,type,
    bG1050: $o > $o ).

tff(func_def_2737,type,
    lG1051: ( nat * nat ) > nat ).

tff(func_def_2738,type,
    lG1053: ( nat * nat ) > nat ).

tff(func_def_2739,type,
    bG1055: $o > $o ).

tff(func_def_2740,type,
    bG1056: $o > $o ).

tff(func_def_2741,type,
    lG1057: ( nat * nat ) > nat ).

tff(func_def_2742,type,
    lG1059: ( nat * nat ) > nat ).

tff(func_def_2743,type,
    bG1061: $o > $o ).

tff(func_def_2744,type,
    bG1062: $o > $o ).

tff(func_def_2745,type,
    lG1063: ( nat * nat ) > nat ).

tff(func_def_2746,type,
    bG1067: $o > $o ).

tff(func_def_2747,type,
    bG1068: $o > $o ).

tff(func_def_2748,type,
    lG1069: ( nat * nat ) > nat ).

tff(func_def_2749,type,
    bG1073: $o > $o ).

tff(func_def_2750,type,
    bG1074: $o > $o ).

tff(func_def_2751,type,
    bG1077: $o > $o ).

tff(func_def_2752,type,
    bG1078: $o > $o ).

tff(func_def_2753,type,
    bG1079: $o > $o ).

tff(func_def_2754,type,
    bG1080: $o > $o ).

tff(func_def_2755,type,
    iG1081: $o > nat ).

tff(func_def_2756,type,
    iG1082: $o > nat ).

tff(func_def_2757,type,
    bG1083: $o > $o ).

tff(func_def_2758,type,
    bG1084: $o > $o ).

tff(func_def_2759,type,
    lG1085: ( nat * nat ) > nat ).

tff(func_def_2760,type,
    lG1087: ( nat * nat ) > nat ).

tff(func_def_2761,type,
    lG1089: ( nat * nat ) > nat ).

tff(func_def_2762,type,
    lG1091: ( nat * nat ) > nat ).

tff(func_def_2763,type,
    lG1092: ( nat * nat ) > nat ).

tff(func_def_2764,type,
    lG1093: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2765,type,
    lG1094: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2766,type,
    iG1095: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2767,type,
    iG1096: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2768,type,
    iG1097: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2769,type,
    iG1098: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2770,type,
    lG1099: ( nat * nat ) > nat ).

tff(func_def_2771,type,
    lG1100: ( nat * nat ) > nat ).

tff(func_def_2772,type,
    lG1101: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2773,type,
    lG1102: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2774,type,
    iG1103: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2775,type,
    iG1104: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2776,type,
    iG1105: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2777,type,
    iG1106: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2778,type,
    lG1107: ( nat * nat ) > nat ).

tff(func_def_2779,type,
    lG1108: ( nat * nat ) > nat ).

tff(func_def_2780,type,
    lG1109: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2781,type,
    lG1110: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2782,type,
    iG1111: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2783,type,
    iG1112: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2784,type,
    iG1113: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2785,type,
    iG1114: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2786,type,
    iG1115: $o > nat ).

tff(func_def_2787,type,
    bG1116: $o > $o ).

tff(func_def_2788,type,
    bG1117: $o > $o ).

tff(func_def_2789,type,
    bG1118: $o > $o ).

tff(func_def_2790,type,
    bG1119: $o > $o ).

tff(func_def_2791,type,
    bG1120: $o > $o ).

tff(func_def_2792,type,
    bG1121: $o > $o ).

tff(func_def_2793,type,
    lG1122: ( nat * nat ) > nat ).

tff(func_def_2794,type,
    lG1123: ( nat * nat ) > nat ).

tff(func_def_2795,type,
    lG1124: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2796,type,
    lG1125: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2797,type,
    iG1126: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2798,type,
    iG1127: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2799,type,
    iG1128: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2800,type,
    iG1129: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2801,type,
    bG1130: $o > $o ).

tff(func_def_2802,type,
    bG1131: $o > $o ).

tff(func_def_2803,type,
    bG1132: $o > $o ).

tff(func_def_2804,type,
    bG1133: $o > $o ).

tff(func_def_2805,type,
    lG1134: ( nat * nat ) > nat ).

tff(func_def_2806,type,
    lG1136: ( nat * nat ) > nat ).

tff(func_def_2807,type,
    iG1138: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2808,type,
    lG1139: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2809,type,
    iG1140: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2810,type,
    lG1141: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2811,type,
    lG1142: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2812,type,
    lG1143: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2813,type,
    lG1144: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2814,type,
    lG1145: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2815,type,
    lG1146: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2816,type,
    iG1147: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2817,type,
    iG1148: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2818,type,
    iG1149: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2819,type,
    iG1150: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2820,type,
    iG1151: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2821,type,
    iG1152: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2822,type,
    iG1153: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2823,type,
    lG1154: ( nat * nat ) > nat ).

tff(func_def_2824,type,
    bG1158: $o > $o ).

tff(func_def_2825,type,
    bG1159: $o > $o ).

tff(func_def_2826,type,
    iG1160: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2827,type,
    lG1161: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2828,type,
    iG1162: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2829,type,
    lG1163: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2830,type,
    lG1164: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2831,type,
    lG1165: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2832,type,
    lG1166: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2833,type,
    lG1167: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2834,type,
    lG1168: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2835,type,
    iG1169: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2836,type,
    iG1170: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2837,type,
    iG1171: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2838,type,
    iG1172: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2839,type,
    iG1173: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > nat ).

tff(func_def_2840,type,
    iG1174: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2841,type,
    iG1175: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2842,type,
    bG1176: $o > $o ).

tff(func_def_2843,type,
    bG1177: $o > $o ).

tff(func_def_2844,type,
    bG1178: $o > $o ).

tff(func_def_2845,type,
    bG1179: $o > $o ).

tff(func_def_2846,type,
    bG1180: $o > $o ).

tff(func_def_2847,type,
    bG1181: $o > $o ).

tff(func_def_2848,type,
    bG1182: $o > $o ).

tff(func_def_2849,type,
    bG1183: $o > $o ).

tff(func_def_2850,type,
    bG1184: $o > $o ).

tff(func_def_2851,type,
    bG1185: $o > $o ).

tff(func_def_2852,type,
    bG1186: $o > $o ).

tff(func_def_2853,type,
    bG1187: $o > $o ).

tff(func_def_2854,type,
    lG1188: ( nat * nat ) > nat ).

tff(func_def_2855,type,
    lG1189: ( nat * nat ) > nat ).

tff(func_def_2856,type,
    lG1190: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2857,type,
    lG1191: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2858,type,
    iG1192: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2859,type,
    iG1193: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2860,type,
    iG1194: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2861,type,
    iG1195: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2862,type,
    bG1196: $o > $o ).

tff(func_def_2863,type,
    bG1197: $o > $o ).

tff(func_def_2864,type,
    bG1198: $o > $o ).

tff(func_def_2865,type,
    bG1199: $o > $o ).

tff(func_def_2866,type,
    bG1200: $o > $o ).

tff(func_def_2867,type,
    bG1201: $o > $o ).

tff(func_def_2868,type,
    bG1202: $o > $o ).

tff(func_def_2869,type,
    bG1203: $o > $o ).

tff(func_def_2870,type,
    lG1204: ( nat * nat ) > nat ).

tff(func_def_2871,type,
    lG1205: ( nat * nat ) > nat ).

tff(func_def_2872,type,
    lG1206: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2873,type,
    lG1207: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2874,type,
    iG1208: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2875,type,
    iG1209: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2876,type,
    iG1210: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2877,type,
    iG1211: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2878,type,
    bG1212: $o > $o ).

tff(func_def_2879,type,
    bG1213: $o > $o ).

tff(func_def_2880,type,
    iG1214: $o > nat ).

tff(func_def_2881,type,
    bG1215: $o > $o ).

tff(func_def_2882,type,
    bG1216: $o > $o ).

tff(func_def_2883,type,
    bG1217: $o > $o ).

tff(func_def_2884,type,
    bG1218: $o > $o ).

tff(func_def_2885,type,
    bG1219: $o > $o ).

tff(func_def_2886,type,
    bG1220: $o > $o ).

tff(func_def_2887,type,
    bG1221: $o > $o ).

tff(func_def_2888,type,
    bG1222: $o > $o ).

tff(func_def_2889,type,
    bG1223: $o > $o ).

tff(func_def_2890,type,
    bG1224: $o > $o ).

tff(func_def_2891,type,
    lG1225: ( nat * nat ) > nat ).

tff(func_def_2892,type,
    lG1226: ( nat * nat ) > nat ).

tff(func_def_2893,type,
    lG1227: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2894,type,
    lG1228: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2895,type,
    iG1229: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_2896,type,
    iG1230: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2897,type,
    iG1231: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_2898,type,
    iG1232: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_2899,type,
    bG1233: $o > $o ).

tff(func_def_2900,type,
    bG1234: $o > $o ).

tff(func_def_2901,type,
    bG1235: $o > $o ).

tff(func_def_2902,type,
    bG1236: $o > $o ).

tff(func_def_2903,type,
    bG1237: $o > $o ).

tff(func_def_2904,type,
    bG1238: $o > $o ).

tff(func_def_2905,type,
    iG1239: $o > option_nat ).

tff(func_def_2906,type,
    bG1240: $o > $o ).

tff(func_def_2907,type,
    bG1241: $o > $o ).

tff(func_def_2908,type,
    lG1242: ( nat * nat ) > nat ).

tff(func_def_2909,type,
    lG1243: ( nat * nat ) > nat ).

tff(func_def_2910,type,
    lG1244: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2911,type,
    lG1245: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2912,type,
    iG1246: ( nat * nat ) > option_nat ).

tff(func_def_2913,type,
    iG1247: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > option_nat ).

tff(func_def_2914,type,
    iG1248: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2915,type,
    iG1249: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2916,type,
    iG1250: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT * nat ) > option_nat ).

tff(func_def_2917,type,
    bG1251: $o > $o ).

tff(func_def_2918,type,
    bG1252: $o > $o ).

tff(func_def_2919,type,
    iG1253: $o > option_nat ).

tff(func_def_2920,type,
    iG1254: ( $o * $o ) > option_nat ).

tff(func_def_2921,type,
    bG1255: $o > $o ).

tff(func_def_2922,type,
    bG1256: $o > $o ).

tff(func_def_2923,type,
    bG1257: $o > $o ).

tff(func_def_2924,type,
    bG1258: $o > $o ).

tff(func_def_2925,type,
    iG1259: $o > option_nat ).

tff(func_def_2926,type,
    bG1260: $o > $o ).

tff(func_def_2927,type,
    bG1261: $o > $o ).

tff(func_def_2928,type,
    bG1262: $o > $o ).

tff(func_def_2929,type,
    bG1263: $o > $o ).

tff(func_def_2930,type,
    bG1264: $o > $o ).

tff(func_def_2931,type,
    bG1265: $o > $o ).

tff(func_def_2932,type,
    lG1266: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2933,type,
    iG1267: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2934,type,
    lG1268: ( nat * list_VEBT_VEBT * vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2935,type,
    iG1269: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2936,type,
    lG1270: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > nat ).

tff(func_def_2937,type,
    lG1271: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2938,type,
    lG1272: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > list_VEBT_VEBT ).

tff(func_def_2939,type,
    lG1273: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > vEBT_VEBT ).

tff(func_def_2940,type,
    lG1274: ( list_VEBT_VEBT * vEBT_VEBT * nat * nat * nat ) > option_nat ).

tff(func_def_2941,type,
    iG1275: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_2942,type,
    iG1276: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2943,type,
    iG1277: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2944,type,
    iG1278: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2945,type,
    iG1279: ( list_VEBT_VEBT * nat * nat * nat * vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2946,type,
    iG1280: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2947,type,
    iG1281: ( nat * nat * nat * vEBT_VEBT * list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2948,type,
    bG1282: $o > $o ).

tff(func_def_2949,type,
    bG1283: $o > $o ).

tff(func_def_2950,type,
    bG1284: $o > $o ).

tff(func_def_2951,type,
    bG1285: $o > $o ).

tff(func_def_2952,type,
    bG1286: $o > $o ).

tff(func_def_2953,type,
    bG1287: $o > $o ).

tff(func_def_2954,type,
    bG1288: $o > $o ).

tff(func_def_2955,type,
    bG1289: $o > $o ).

tff(func_def_2956,type,
    bG1290: $o > $o ).

tff(func_def_2957,type,
    bG1291: $o > $o ).

tff(func_def_2958,type,
    bG1292: $o > $o ).

tff(func_def_2959,type,
    bG1293: $o > $o ).

tff(func_def_2960,type,
    bG1294: $o > $o ).

tff(func_def_2961,type,
    bG1295: $o > $o ).

tff(func_def_2962,type,
    bG1296: $o > $o ).

tff(func_def_2963,type,
    bG1297: $o > $o ).

tff(func_def_2964,type,
    lG1298: ( nat * nat ) > nat ).

tff(func_def_2965,type,
    lG1299: ( nat * nat ) > nat ).

tff(func_def_2966,type,
    lG1300: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_2967,type,
    iG1301: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2968,type,
    iG1302: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2969,type,
    iG1303: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2970,type,
    bG1304: $o > $o ).

tff(func_def_2971,type,
    bG1305: $o > $o ).

tff(func_def_2972,type,
    bG1306: $o > $o ).

tff(func_def_2973,type,
    bG1307: $o > $o ).

tff(func_def_2974,type,
    bG1308: $o > $o ).

tff(func_def_2975,type,
    bG1309: $o > $o ).

tff(func_def_2976,type,
    bG1310: $o > $o ).

tff(func_def_2977,type,
    bG1311: $o > $o ).

tff(func_def_2978,type,
    lG1312: ( nat * nat ) > nat ).

tff(func_def_2979,type,
    iG1313: ( nat * nat ) > nat ).

tff(func_def_2980,type,
    lG1314: ( nat * nat * nat ) > nat ).

tff(func_def_2981,type,
    iG1315: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_2982,type,
    iG1316: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_2983,type,
    bG1317: $o > $o ).

tff(func_def_2984,type,
    bG1318: $o > $o ).

tff(func_def_2985,type,
    iG1319: nat > nat ).

tff(func_def_2986,type,
    bG1320: $o > $o ).

tff(func_def_2987,type,
    bG1321: $o > $o ).

tff(func_def_2988,type,
    lG1322: ( nat * nat ) > nat ).

tff(func_def_2989,type,
    iG1323: ( nat * nat ) > nat ).

tff(func_def_2990,type,
    lG1324: ( nat * nat * nat ) > nat ).

tff(func_def_2991,type,
    iG1325: ( nat * nat ) > nat ).

tff(func_def_2992,type,
    iG1326: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2993,type,
    iG1327: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2994,type,
    bG1328: $o > $o ).

tff(func_def_2995,type,
    bG1329: $o > $o ).

tff(func_def_2996,type,
    bG1330: $o > $o ).

tff(func_def_2997,type,
    bG1331: $o > $o ).

tff(func_def_2998,type,
    bG1332: $o > $o ).

tff(func_def_2999,type,
    bG1333: $o > $o ).

tff(func_def_3000,type,
    iG1334: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_3001,type,
    iG1335: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_3002,type,
    bG1336: $o > $o ).

tff(func_def_3003,type,
    bG1337: $o > $o ).

tff(func_def_3004,type,
    lG1338: ( nat * nat ) > nat ).

tff(func_def_3005,type,
    lG1339: ( nat * nat ) > nat ).

tff(func_def_3006,type,
    lG1340: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_3007,type,
    iG1341: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3008,type,
    iG1342: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3009,type,
    iG1343: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3010,type,
    bG1344: $o > $o ).

tff(func_def_3011,type,
    bG1345: $o > $o ).

tff(func_def_3012,type,
    bG1346: $o > $o ).

tff(func_def_3013,type,
    bG1347: $o > $o ).

tff(func_def_3014,type,
    bG1348: $o > $o ).

tff(func_def_3015,type,
    bG1349: $o > $o ).

tff(func_def_3016,type,
    bG1350: $o > $o ).

tff(func_def_3017,type,
    bG1351: $o > $o ).

tff(func_def_3018,type,
    bG1352: $o > $o ).

tff(func_def_3019,type,
    bG1353: $o > $o ).

tff(func_def_3020,type,
    bG1354: $o > $o ).

tff(func_def_3021,type,
    bG1355: $o > $o ).

tff(func_def_3022,type,
    lG1356: ( nat * nat ) > nat ).

tff(func_def_3023,type,
    iG1357: ( nat * nat ) > nat ).

tff(func_def_3024,type,
    lG1358: ( nat * nat * nat ) > nat ).

tff(func_def_3025,type,
    iG1359: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > nat ).

tff(func_def_3026,type,
    iG1360: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > nat ).

tff(func_def_3027,type,
    bG1361: $o > $o ).

tff(func_def_3028,type,
    bG1362: $o > $o ).

tff(func_def_3029,type,
    bG1363: $o > $o ).

tff(func_def_3030,type,
    bG1364: $o > $o ).

tff(func_def_3031,type,
    lG1365: ( nat * nat ) > nat ).

tff(func_def_3032,type,
    iG1366: ( list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3033,type,
    iG1367: ( nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3034,type,
    iG1368: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3035,type,
    iG1369: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3036,type,
    iG1370: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3037,type,
    bG1371: $o > $o ).

tff(func_def_3038,type,
    bG1372: $o > $o ).

tff(func_def_3039,type,
    iG1373: nat > nat ).

tff(func_def_3040,type,
    bG1374: $o > $o ).

tff(func_def_3041,type,
    bG1375: $o > $o ).

tff(func_def_3042,type,
    lG1376: ( nat * nat ) > nat ).

tff(func_def_3043,type,
    iG1377: ( list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3044,type,
    iG1378: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3045,type,
    iG1379: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3046,type,
    iG1380: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3047,type,
    iG1381: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3048,type,
    iG1382: ( nat * nat * nat * nat * list_VEBT_VEBT ) > nat ).

tff(func_def_3049,type,
    bG1383: $o > $o ).

tff(func_def_3050,type,
    bG1384: $o > $o ).

tff(func_def_3051,type,
    bG1385: $o > $o ).

tff(func_def_3052,type,
    bG1386: $o > $o ).

tff(func_def_3053,type,
    lG1387: ( nat * nat ) > nat ).

tff(func_def_3054,type,
    bG1388: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3055,type,
    iG1389: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_3056,type,
    iG1390: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3057,type,
    iG1391: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3058,type,
    iG1392: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3059,type,
    iG1393: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3060,type,
    bG1394: $o > $o ).

tff(func_def_3061,type,
    bG1395: $o > $o ).

tff(func_def_3062,type,
    bG1396: $o > $o ).

tff(func_def_3063,type,
    bG1397: $o > $o ).

tff(func_def_3064,type,
    iG1398: ( nat * $o ) > $o ).

tff(func_def_3065,type,
    iG1399: ( nat * $o * $o ) > $o ).

tff(func_def_3066,type,
    bG1400: $o > $o ).

tff(func_def_3067,type,
    bG1401: $o > $o ).

tff(func_def_3068,type,
    lG1402: ( nat * nat ) > nat ).

tff(func_def_3069,type,
    bG1410: $o > $o ).

tff(func_def_3070,type,
    bG1411: $o > $o ).

tff(func_def_3071,type,
    bG1412: $o > $o ).

tff(func_def_3072,type,
    bG1413: $o > $o ).

tff(func_def_3073,type,
    lG1414: ( nat * nat ) > nat ).

tff(func_def_3074,type,
    bG1415: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3075,type,
    iG1416: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_3076,type,
    bG1417: $o > $o ).

tff(func_def_3077,type,
    bG1418: $o > $o ).

tff(func_def_3078,type,
    bG1419: $o > $o ).

tff(func_def_3079,type,
    bG1420: $o > $o ).

tff(func_def_3080,type,
    iG1421: ( nat * $o ) > $o ).

tff(func_def_3081,type,
    iG1422: ( nat * $o * $o ) > $o ).

tff(func_def_3082,type,
    bG1423: $o > $o ).

tff(func_def_3083,type,
    bG1424: $o > $o ).

tff(func_def_3084,type,
    lG1425: ( nat * nat ) > nat ).

tff(func_def_3085,type,
    bG1429: $o > $o ).

tff(func_def_3086,type,
    bG1430: $o > $o ).

tff(func_def_3087,type,
    bG1431: $o > $o ).

tff(func_def_3088,type,
    bG1432: $o > $o ).

tff(func_def_3089,type,
    lG1433: ( nat * nat ) > nat ).

tff(func_def_3090,type,
    bG1437: $o > $o ).

tff(func_def_3091,type,
    bG1438: $o > $o ).

tff(func_def_3092,type,
    bG1439: $o > $o ).

tff(func_def_3093,type,
    bG1440: $o > $o ).

tff(func_def_3094,type,
    lG1441: ( nat * nat ) > nat ).

tff(func_def_3095,type,
    bG1449: $o > $o ).

tff(func_def_3096,type,
    bG1450: $o > $o ).

tff(func_def_3097,type,
    bG1451: $o > $o ).

tff(func_def_3098,type,
    bG1452: $o > $o ).

tff(func_def_3099,type,
    lG1453: ( nat * nat ) > nat ).

tff(func_def_3100,type,
    bG1454: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_3101,type,
    iG1455: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_3102,type,
    lG1456: ( nat * nat ) > nat ).

tff(func_def_3103,type,
    bG1458: $o > $o ).

tff(func_def_3104,type,
    bG1459: $o > $o ).

tff(func_def_3105,type,
    bG1460: $o > $o ).

tff(func_def_3106,type,
    bG1461: $o > $o ).

tff(func_def_3107,type,
    lG1462: ( nat * nat ) > nat ).

tff(func_def_3108,type,
    lG1464: ( nat * nat ) > nat ).

tff(func_def_3109,type,
    bG1466: $o > $o ).

tff(func_def_3110,type,
    bG1467: $o > $o ).

tff(func_def_3111,type,
    bG1468: $o > $o ).

tff(func_def_3112,type,
    bG1469: $o > $o ).

tff(func_def_3113,type,
    lG1470: ( nat * nat ) > nat ).

tff(func_def_3114,type,
    lG1472: ( nat * nat ) > nat ).

tff(func_def_3115,type,
    iG1474: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_3116,type,
    iG1475: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_3117,type,
    iG1476: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3118,type,
    iG1477: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_3119,type,
    iG1478: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_3120,type,
    iG1479: ( num * num ) > product_prod_nat_nat ).

tff(func_def_3121,type,
    iG1480: ( num * num ) > product_prod_int_int ).

tff(func_def_3122,type,
    iG1481: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_3123,type,
    iG1482: ( num * num ) > product_prod_nat_nat ).

tff(func_def_3124,type,
    iG1483: ( num * num ) > product_prod_int_int ).

tff(func_def_3125,type,
    iG1484: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_3126,type,
    iG1485: ( num * num ) > product_prod_nat_nat ).

tff(func_def_3127,type,
    iG1486: ( num * num ) > product_prod_int_int ).

tff(func_def_3128,type,
    iG1487: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_3129,type,
    iG1488: ( nat * complex ) > complex ).

tff(func_def_3130,type,
    iG1489: ( nat * real ) > real ).

tff(func_def_3131,type,
    iG1490: ( nat * rat ) > rat ).

tff(func_def_3132,type,
    iG1491: ( nat * int ) > int ).

tff(func_def_3133,type,
    iG1492: ( nat * nat ) > nat ).

tff(func_def_3134,type,
    bG1493: ( list_o * nat ) > $o ).

tff(func_def_3135,type,
    bG1494: ( list_VEBT_VEBT * nat * list_o ) > $o ).

tff(func_def_3136,type,
    bG1495: ( list_o * nat * list_o ) > $o ).

tff(func_def_3137,type,
    bG1496: ( list_o * nat ) > $o ).

tff(func_def_3138,type,
    bG1497: ( list_nat * nat * list_o ) > $o ).

tff(func_def_3139,type,
    bG1498: ( list_int * nat * list_o ) > $o ).

tff(func_def_3140,type,
    iG1499: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_3141,type,
    iG1500: ( nat * nat * nat * fun_nat_fun_nat_nat ) > nat ).

tff(func_def_3142,type,
    iG1501: ( int * int ) > int ).

tff(func_def_3143,type,
    iG1502: ( int * int ) > int ).

tff(func_def_3144,type,
    iG1505: ( int * int ) > int ).

tff(func_def_3145,type,
    iG1506: ( int * int ) > int ).

tff(func_def_3146,type,
    iG1507: ( int * int ) > int ).

tff(func_def_3147,type,
    iG1508: ( int * int ) > int ).

tff(func_def_3148,type,
    lG1509: nat > nat ).

tff(func_def_3149,type,
    lG1510: nat > nat ).

tff(func_def_3150,type,
    iG1511: nat > vEBT_VEBT ).

tff(func_def_3151,type,
    iG1512: int > real ).

tff(func_def_3152,type,
    iG1513: ( nat * produc3843707927480180839at_nat ) > set_Pr4329608150637261639at_nat ).

tff(func_def_3153,type,
    iG1514: ( nat * product_prod_nat_nat ) > set_Pr1261947904930325089at_nat ).

tff(func_def_3154,type,
    iG1515: ( nat * vEBT_VEBT ) > set_VEBT_VEBT ).

tff(func_def_3155,type,
    iG1516: ( nat * extended_enat ) > set_Extended_enat ).

tff(func_def_3156,type,
    iG1517: ( nat * real ) > set_real ).

tff(func_def_3157,type,
    iG1518: ( nat * nat ) > set_nat ).

tff(func_def_3158,type,
    iG1519: ( nat * int ) > set_int ).

tff(func_def_3159,type,
    lG1520: nat > nat ).

tff(func_def_3160,type,
    lG1521: nat > nat ).

tff(func_def_3161,type,
    iG1522: nat > vEBT_VEBT ).

tff(func_def_3162,type,
    iG1523: ( complex * nat * nat ) > complex ).

tff(func_def_3163,type,
    iG1524: ( nat * nat * complex ) > complex ).

tff(func_def_3164,type,
    iG1525: ( rat * nat * nat ) > rat ).

tff(func_def_3165,type,
    iG1526: ( nat * nat * rat ) > rat ).

tff(func_def_3166,type,
    iG1527: ( real * nat * nat ) > real ).

tff(func_def_3167,type,
    iG1528: ( nat * nat * real ) > real ).

tff(func_def_3168,type,
    iG1529: ( set_real * real * fun_real_real ) > real ).

tff(func_def_3169,type,
    iG1530: ( set_int * int * fun_int_real ) > real ).

tff(func_def_3170,type,
    iG1531: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_3171,type,
    iG1532: ( set_Extended_enat * extended_enat * fun_Ex1451620480498224165t_real ) > real ).

tff(func_def_3172,type,
    iG1533: ( set_real * real * fun_real_rat ) > rat ).

tff(func_def_3173,type,
    iG1534: ( set_nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3174,type,
    iG1535: ( set_int * int * fun_int_rat ) > rat ).

tff(func_def_3175,type,
    iG1536: ( set_complex * complex * fun_complex_rat ) > rat ).

tff(func_def_3176,type,
    iG1537: ( set_Extended_enat * extended_enat * fun_Ex4152069839811072081at_rat ) > rat ).

tff(func_def_3177,type,
    iG1538: ( set_real * real * fun_real_nat ) > nat ).

tff(func_def_3178,type,
    iG1539: ( set_real * real * fun_real_real ) > real ).

tff(func_def_3179,type,
    iG1540: ( set_int * int * fun_int_real ) > real ).

tff(func_def_3180,type,
    iG1541: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_3181,type,
    iG1542: ( set_Extended_enat * extended_enat * fun_Ex1451620480498224165t_real ) > real ).

tff(func_def_3182,type,
    iG1543: ( set_real * real * fun_real_rat ) > rat ).

tff(func_def_3183,type,
    iG1544: ( set_nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3184,type,
    iG1545: ( set_int * int * fun_int_rat ) > rat ).

tff(func_def_3185,type,
    iG1546: ( set_complex * complex * fun_complex_rat ) > rat ).

tff(func_def_3186,type,
    iG1547: ( set_Extended_enat * extended_enat * fun_Ex4152069839811072081at_rat ) > rat ).

tff(func_def_3187,type,
    iG1548: ( set_real * real * fun_real_nat ) > nat ).

tff(func_def_3188,type,
    iG1549: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3189,type,
    iG1550: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_3190,type,
    iG1551: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_3191,type,
    iG1552: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_3192,type,
    iG1553: ( set_nat * fun_nat_complex ) > complex ).

tff(func_def_3193,type,
    iG1554: ( set_nat * fun_nat_rat ) > rat ).

tff(func_def_3194,type,
    iG1555: ( set_nat * fun_nat_real ) > real ).

tff(func_def_3195,type,
    iG1556: ( set_nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_3196,type,
    iG1557: ( set_nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_3197,type,
    iG1558: ( set_nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3198,type,
    iG1559: ( int * int ) > set_int ).

tff(func_def_3199,type,
    iG1560: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3200,type,
    iG1561: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_3201,type,
    iG1562: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_3202,type,
    iG1563: ( set_complex * complex * fun_complex_complex ) > complex ).

tff(func_def_3203,type,
    iG1564: ( set_Extended_enat * extended_enat * fun_Ex3741802288643809319omplex ) > complex ).

tff(func_def_3204,type,
    iG1565: ( set_real * real * fun_real_complex ) > complex ).

tff(func_def_3205,type,
    iG1566: ( set_int * int * fun_int_complex ) > complex ).

tff(func_def_3206,type,
    iG1567: ( set_nat * nat * fun_nat_complex ) > complex ).

tff(func_def_3207,type,
    iG1568: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_3208,type,
    iG1569: ( set_Extended_enat * extended_enat * fun_Ex1451620480498224165t_real ) > real ).

tff(func_def_3209,type,
    iG1570: ( set_real * real * fun_real_real ) > real ).

tff(func_def_3210,type,
    iG1571: ( set_int * int * fun_int_real ) > real ).

tff(func_def_3211,type,
    iG1572: ( set_nat * nat * fun_nat_real ) > real ).

tff(func_def_3212,type,
    iG1573: ( complex * nat * nat ) > complex ).

tff(func_def_3213,type,
    iG1574: ( rat * nat * nat ) > rat ).

tff(func_def_3214,type,
    iG1575: ( real * nat * nat ) > real ).

tff(func_def_3215,type,
    iG1576: ( complex * nat ) > complex ).

tff(func_def_3216,type,
    iG1577: ( rat * nat ) > rat ).

tff(func_def_3217,type,
    iG1578: ( real * nat ) > real ).

tff(func_def_3218,type,
    iG1579: ( complex * nat ) > complex ).

tff(func_def_3219,type,
    iG1580: ( rat * nat ) > rat ).

tff(func_def_3220,type,
    iG1581: ( real * nat ) > real ).

tff(func_def_3221,type,
    iG1582: nat > real ).

tff(func_def_3222,type,
    iG1583: ( nat * nat ) > nat ).

tff(func_def_3223,type,
    iG1584: ( nat * nat ) > nat ).

tff(func_def_3224,type,
    iG1585: nat > real ).

tff(func_def_3225,type,
    bG1586: $o > $o ).

tff(func_def_3226,type,
    bG1587: $o > $o ).

tff(func_def_3227,type,
    iG1588: ( int * real ) > real ).

tff(func_def_3228,type,
    iG1589: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_3229,type,
    bG1590: $o > $o ).

tff(func_def_3230,type,
    bG1591: $o > $o ).

tff(func_def_3231,type,
    bG1592: nat > $o ).

tff(func_def_3232,type,
    bG1593: nat > $o ).

tff(func_def_3233,type,
    bG1594: int > $o ).

tff(func_def_3234,type,
    bG1595: int > $o ).

tff(func_def_3235,type,
    bG1596: nat > $o ).

tff(func_def_3236,type,
    bG1597: nat > $o ).

tff(func_def_3237,type,
    bG1598: ( int * int ) > $o ).

tff(func_def_3238,type,
    bG1599: ( nat * nat ) > $o ).

tff(func_def_3239,type,
    bG1600: ( nat * nat ) > $o ).

tff(func_def_3240,type,
    bG1601: ( int * int ) > $o ).

tff(func_def_3241,type,
    bG1602: nat > $o ).

tff(func_def_3242,type,
    bG1603: nat > $o ).

tff(func_def_3243,type,
    bG1604: nat > $o ).

tff(func_def_3244,type,
    bG1605: nat > $o ).

tff(func_def_3245,type,
    bG1606: ( int * int ) > $o ).

tff(func_def_3246,type,
    bG1607: ( int * int ) > $o ).

tff(func_def_3247,type,
    iG1608: ( int * int ) > int ).

tff(func_def_3248,type,
    bG1609: ( int * int ) > $o ).

tff(func_def_3249,type,
    bG1610: ( int * int ) > $o ).

tff(func_def_3250,type,
    iG1611: ( int * int ) > int ).

tff(func_def_3251,type,
    bG1612: ( int * int ) > $o ).

tff(func_def_3252,type,
    iG1613: ( int * int ) > int ).

tff(func_def_3253,type,
    iG1614: ( int * int ) > int ).

tff(func_def_3254,type,
    iG1615: ( int * int ) > int ).

tff(func_def_3255,type,
    bG1616: ( int * int ) > $o ).

tff(func_def_3256,type,
    bG1617: ( int * int ) > $o ).

tff(func_def_3257,type,
    iG1618: ( int * int ) > int ).

tff(func_def_3258,type,
    bG1619: ( int * int ) > $o ).

tff(func_def_3259,type,
    bG1620: ( int * int ) > $o ).

tff(func_def_3260,type,
    iG1621: ( int * int ) > int ).

tff(func_def_3261,type,
    lG1622: nat > nat ).

tff(func_def_3262,type,
    lG1623: nat > nat ).

tff(func_def_3263,type,
    iG1624: nat > vEBT_VEBT ).

tff(func_def_3264,type,
    iG1625: ( nat * nat ) > nat ).

tff(func_def_3265,type,
    bG1626: ( nat * nat ) > $o ).

tff(func_def_3266,type,
    bG1627: ( int * int ) > $o ).

tff(func_def_3267,type,
    iG1628: ( int * int ) > int ).

tff(func_def_3268,type,
    iG1629: ( int * int ) > int ).

tff(func_def_3269,type,
    bG1630: ( nat * int ) > $o ).

tff(func_def_3270,type,
    bG1631: ( int * int ) > $o ).

tff(func_def_3271,type,
    iG1632: ( int * int ) > int ).

tff(func_def_3272,type,
    iG1633: ( int * int ) > int ).

tff(func_def_3273,type,
    bG1634: ( nat * nat ) > $o ).

tff(func_def_3274,type,
    iG1635: ( int * int * nat * nat ) > int ).

tff(func_def_3275,type,
    iG1636: ( int * int * nat * nat ) > int ).

tff(func_def_3276,type,
    iG1637: int > int ).

tff(func_def_3277,type,
    iG1638: int > int ).

tff(func_def_3278,type,
    bG1639: ( nat * int ) > $o ).

tff(func_def_3279,type,
    bG1640: ( int * int ) > $o ).

tff(func_def_3280,type,
    bG1641: ( nat * int ) > $o ).

tff(func_def_3281,type,
    bG1642: ( nat * int ) > $o ).

tff(func_def_3282,type,
    bG1643: ( nat * int ) > $o ).

tff(func_def_3283,type,
    bG1644: ( nat * nat ) > $o ).

tff(func_def_3284,type,
    iG1645: ( int * int * nat * nat ) > int ).

tff(func_def_3285,type,
    iG1646: ( int * int * nat * nat ) > int ).

tff(func_def_3286,type,
    iG1647: real > real ).

tff(func_def_3287,type,
    iG1648: real > real ).

tff(func_def_3288,type,
    iG1649: complex > real ).

tff(func_def_3289,type,
    iG1650: ( nat * nat ) > set_nat ).

tff(func_def_3290,type,
    iG1651: ( num * nat ) > set_nat ).

tff(func_def_3291,type,
    bG1652: $o > $o ).

tff(func_def_3292,type,
    bG1653: $o > $o ).

tff(func_def_3293,type,
    iG1654: code_integer > code_integer ).

tff(func_def_3294,type,
    iG1655: code_integer > code_integer ).

tff(func_def_3295,type,
    iG1656: complex > real ).

tff(func_def_3296,type,
    iG1657: complex > real ).

tff(func_def_3297,type,
    lG1658: int > code_integer ).

tff(func_def_3298,type,
    iG1659: int > code_integer ).

tff(func_def_3299,type,
    iG1660: int > code_integer ).

tff(func_def_3300,type,
    iG1661: int > code_integer ).

tff(func_def_3301,type,
    iG1662: code_integer > code_integer ).

tff(func_def_3302,type,
    iG1663: code_integer > int ).

tff(func_def_3303,type,
    iG1664: code_integer > int ).

tff(func_def_3304,type,
    iG1665: code_integer > num ).

tff(func_def_3305,type,
    bG1666: $o > $o ).

tff(func_def_3306,type,
    bG1667: $o > $o ).

tff(func_def_3307,type,
    iG1668: ( nat * nat ) > nat ).

tff(func_def_3308,type,
    iG1669: code_integer > nat ).

tff(func_def_3309,type,
    bG1670: $o > $o ).

tff(func_def_3310,type,
    bG1671: $o > $o ).

tff(func_def_3311,type,
    bG1672: $o > $o ).

tff(func_def_3312,type,
    bG1673: $o > $o ).

tff(func_def_3313,type,
    iG1674: ( nat * nat ) > set_nat ).

tff(func_def_3314,type,
    iG1675: ( nat * nat * nat ) > set_nat ).

tff(func_def_3315,type,
    bG1676: $o > $o ).

tff(func_def_3316,type,
    bG1677: $o > $o ).

tff(func_def_3317,type,
    iG1678: $o > option_nat ).

tff(func_def_3318,type,
    iG1679: ( $o * $o ) > option_nat ).

tff(func_def_3319,type,
    bG1680: $o > $o ).

tff(func_def_3320,type,
    bG1681: $o > $o ).

tff(func_def_3321,type,
    bG1682: $o > $o ).

tff(func_def_3322,type,
    bG1683: $o > $o ).

tff(func_def_3323,type,
    iG1684: $o > option_nat ).

tff(func_def_3324,type,
    iG1685: ( $o * $o ) > option_nat ).

tff(func_def_3325,type,
    bG1686: $o > $o ).

tff(func_def_3326,type,
    bG1687: $o > $o ).

tff(func_def_3327,type,
    bG1688: $o > $o ).

tff(func_def_3328,type,
    bG1689: $o > $o ).

tff(func_def_3329,type,
    iG1690: $o > nat ).

tff(func_def_3330,type,
    bG1691: $o > $o ).

tff(func_def_3331,type,
    bG1692: $o > $o ).

tff(func_def_3332,type,
    iG1693: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_3333,type,
    bG1694: nat > $o ).

tff(func_def_3334,type,
    iG1695: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_3335,type,
    iG1696: ( nat * nat ) > product_prod_int_int ).

tff(func_def_3336,type,
    iG1697: ( nat * nat ) > product_prod_int_int ).

tff(func_def_3337,type,
    iG1698: ( int * int ) > int ).

tff(func_def_3338,type,
    iG1699: ( nat * nat ) > product_prod_int_int ).

tff(func_def_3339,type,
    iG1700: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_3340,type,
    iG1701: code_integer > produc6271795597528267376eger_o ).

tff(func_def_3341,type,
    bG1702: code_integer > $o ).

tff(func_def_3342,type,
    iG1703: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3343,type,
    iG1704: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3344,type,
    iG1705: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3345,type,
    iG1706: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3346,type,
    iG1707: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3347,type,
    iG1708: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3348,type,
    iG1709: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3349,type,
    iG1710: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3350,type,
    iG1711: nat > num ).

tff(func_def_3351,type,
    iG1712: set_nat > nat ).

tff(func_def_3352,type,
    iG1713: real > set_real ).

tff(func_def_3353,type,
    iG1714: ( nat * real ) > real ).

tff(func_def_3354,type,
    bG1715: $o > $o ).

tff(func_def_3355,type,
    bG1716: $o > $o ).

tff(func_def_3356,type,
    bG1717: $o > $o ).

tff(func_def_3357,type,
    bG1718: $o > $o ).

tff(func_def_3358,type,
    bG1719: $o > $o ).

tff(func_def_3359,type,
    bG1720: $o > $o ).

tff(func_def_3360,type,
    bG1721: $o > $o ).

tff(func_def_3361,type,
    bG1722: $o > $o ).

tff(func_def_3362,type,
    bG1723: $o > $o ).

tff(func_def_3363,type,
    bG1724: $o > $o ).

tff(func_def_3364,type,
    bG1725: $o > $o ).

tff(func_def_3365,type,
    bG1726: $o > $o ).

tff(func_def_3366,type,
    bG1727: $o > $o ).

tff(func_def_3367,type,
    bG1728: $o > $o ).

tff(func_def_3368,type,
    bG1729: $o > $o ).

tff(func_def_3369,type,
    bG1730: $o > $o ).

tff(func_def_3370,type,
    bG1731: $o > $o ).

tff(func_def_3371,type,
    bG1732: $o > $o ).

tff(func_def_3372,type,
    bG1733: $o > $o ).

tff(func_def_3373,type,
    bG1734: $o > $o ).

tff(func_def_3374,type,
    bG1735: $o > $o ).

tff(func_def_3375,type,
    bG1736: $o > $o ).

tff(func_def_3376,type,
    bG1737: $o > $o ).

tff(func_def_3377,type,
    bG1738: $o > $o ).

tff(func_def_3378,type,
    bG1739: $o > $o ).

tff(func_def_3379,type,
    bG1740: $o > $o ).

tff(func_def_3380,type,
    bG1741: $o > $o ).

tff(func_def_3381,type,
    bG1742: $o > $o ).

tff(func_def_3382,type,
    bG1743: $o > $o ).

tff(func_def_3383,type,
    bG1744: $o > $o ).

tff(func_def_3384,type,
    bG1745: $o > $o ).

tff(func_def_3385,type,
    bG1746: $o > $o ).

tff(func_def_3386,type,
    iG1748: rat > rat ).

tff(func_def_3387,type,
    iG1749: rat > rat ).

tff(func_def_3388,type,
    iG1750: rat > rat ).

tff(func_def_3389,type,
    lG1751: product_prod_int_int > int ).

tff(func_def_3390,type,
    lG1752: product_prod_int_int > int ).

tff(func_def_3391,type,
    iG1753: product_prod_int_int > product_prod_int_int ).

tff(func_def_3392,type,
    iG1754: product_prod_int_int > product_prod_int_int ).

tff(func_def_3393,type,
    iG1755: ( int * int ) > int ).

tff(func_def_3394,type,
    iG1756: ( nat * nat ) > nat ).

tff(func_def_3395,type,
    iG1757: ( nat * nat ) > nat ).

tff(func_def_3396,type,
    iG1758: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3397,type,
    iG1759: ( nat * nat ) > nat ).

tff(func_def_3398,type,
    lG1760: num > code_integer ).

tff(func_def_3399,type,
    lG1761: nat > nat ).

tff(func_def_3400,type,
    lG1762: nat > nat ).

tff(func_def_3401,type,
    bG1763: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3402,type,
    bG1764: $o > $o ).

tff(func_def_3403,type,
    bG1765: $o > $o ).

tff(func_def_3404,type,
    lG1766: nat > nat ).

tff(func_def_3405,type,
    lG1767: nat > nat ).

tff(func_def_3406,type,
    bG1768: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3407,type,
    bG1769: $o > $o ).

tff(func_def_3408,type,
    bG1770: $o > $o ).

tff(func_def_3409,type,
    lG1771: nat > nat ).

tff(func_def_3410,type,
    lG1772: nat > nat ).

tff(func_def_3411,type,
    bG1773: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3412,type,
    lG1774: nat > nat ).

tff(func_def_3413,type,
    lG1775: nat > nat ).

tff(func_def_3414,type,
    bG1776: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3415,type,
    bG1777: $o > $o ).

tff(func_def_3416,type,
    bG1778: $o > $o ).

tff(func_def_3417,type,
    lG1779: nat > nat ).

tff(func_def_3418,type,
    lG1780: nat > nat ).

tff(func_def_3419,type,
    bG1781: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3420,type,
    bG1782: $o > $o ).

tff(func_def_3421,type,
    bG1783: $o > $o ).

tff(func_def_3422,type,
    bG1784: $o > $o ).

tff(func_def_3423,type,
    bG1785: $o > $o ).

tff(func_def_3424,type,
    lG1786: nat > nat ).

tff(func_def_3425,type,
    lG1787: nat > nat ).

tff(func_def_3426,type,
    bG1788: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3427,type,
    bG1789: $o > $o ).

tff(func_def_3428,type,
    bG1790: $o > $o ).

tff(func_def_3429,type,
    bG1791: $o > $o ).

tff(func_def_3430,type,
    bG1792: $o > $o ).

tff(func_def_3431,type,
    lG1793: nat > nat ).

tff(func_def_3432,type,
    lG1794: nat > nat ).

tff(func_def_3433,type,
    bG1795: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_3434,type,
    bG1796: $o > $o ).

tff(func_def_3435,type,
    bG1797: $o > $o ).

tff(func_def_3436,type,
    bG1798: $o > $o ).

tff(func_def_3437,type,
    bG1799: $o > $o ).

tff(func_def_3438,type,
    iG1800: ( num * nat ) > option_num ).

tff(func_def_3439,type,
    iG1801: ( int * int * list_int ) > list_int ).

tff(func_def_3440,type,
    iG1802: ( int * int ) > list_int ).

tff(func_def_3441,type,
    iG1803: ( int * int ) > list_int ).

tff(func_def_3442,type,
    iG1804: ( num * num ) > list_int ).

tff(func_def_3443,type,
    iG1805: ( num * num ) > list_int ).

tff(func_def_3444,type,
    iG1806: ( num * num ) > list_int ).

tff(func_def_3445,type,
    iG1807: ( num * num ) > list_int ).

tff(func_def_3446,type,
    iG1808: ( int * int ) > list_int ).

tff(func_def_3447,type,
    iG1809: ( int * int ) > list_int ).

tff(func_def_3448,type,
    iG1810: ( num * num ) > list_nat ).

tff(func_def_3449,type,
    iG1811: ( nat * nat ) > list_nat ).

tff(func_def_3450,type,
    iG1812: ( nat * nat ) > list_nat ).

tff(func_def_3451,type,
    iG1813: product_prod_int_int > product_prod_int_int ).

tff(func_def_3452,type,
    iG1814: fun_nat_rat > fun_nat_rat ).

tff(func_def_3453,type,
    iG1815: fun_nat_rat > real ).

tff(func_def_3454,type,
    iG1816: int > int ).

tff(func_def_3455,type,
    iG1817: ( int * int ) > product_prod_int_int ).

tff(func_def_3456,type,
    iG1818: ( real * real ) > real ).

tff(func_def_3457,type,
    iG1819: ( real * real ) > real ).

tff(func_def_3458,type,
    iG1820: ( real * real ) > real ).

tff(func_def_3459,type,
    bG1821: $o > $o ).

tff(func_def_3460,type,
    bG1822: $o > $o ).

tff(func_def_3461,type,
    bG1823: $o > $o ).

tff(func_def_3462,type,
    bG1824: $o > $o ).

tff(func_def_3463,type,
    bG1825: $o > $o ).

tff(func_def_3464,type,
    bG1826: $o > $o ).

tff(func_def_3465,type,
    bG1827: $o > $o ).

tff(func_def_3466,type,
    lG1828: nat > code_integer ).

tff(func_def_3467,type,
    lG1829: nat > code_integer ).

tff(func_def_3468,type,
    iG1830: ( nat * nat ) > produc8923325533196201883nteger ).

tff(func_def_3469,type,
    iG1831: ( nat * nat ) > produc8923325533196201883nteger ).

tff(func_def_3470,type,
    bG1832: $o > $o ).

tff(func_def_3471,type,
    bG1833: $o > $o ).

tff(func_def_3472,type,
    bG1834: $o > $o ).

tff(func_def_3473,type,
    bG1835: $o > $o ).

tff(func_def_3474,type,
    iG1836: nat > extended_enat ).

tff(func_def_3475,type,
    iG1837: nat > extended_enat ).

tff(func_def_3476,type,
    iG1838: set_Extended_enat > extended_enat ).

tff(func_def_3477,type,
    iG1839: set_Extended_enat > extended_enat ).

tff(func_def_3478,type,
    iG1840: set_Extended_enat > extended_enat ).

tff(func_def_3479,type,
    iG1841: extended_enat > extended_enat ).

tff(func_def_3480,type,
    bG1842: $o > $o ).

tff(func_def_3481,type,
    bG1843: $o > $o ).

tff(func_def_3482,type,
    bG1844: $o > $o ).

tff(func_def_3483,type,
    bG1845: $o > $o ).

tff(func_def_3484,type,
    bG1846: $o > $o ).

tff(func_def_3485,type,
    bG1847: $o > $o ).

tff(func_def_3486,type,
    lG1848: num > nat ).

tff(func_def_3487,type,
    lG1849: num > nat ).

tff(func_def_3488,type,
    iG1850: nat > nat ).

tff(func_def_3489,type,
    iG1851: product_prod_int_int > product_prod_int_int ).

tff(func_def_3490,type,
    iG1852: fun_nat_rat > fun_nat_rat ).

tff(func_def_3491,type,
    iG1853: ( nat * nat ) > complex ).

tff(func_def_3492,type,
    iG1854: ( nat * nat ) > real ).

tff(func_def_3493,type,
    iG1855: ( nat * nat ) > rat ).

tff(func_def_3494,type,
    iG1856: ( nat * nat ) > int ).

tff(func_def_3495,type,
    iG1857: ( nat * fun_nat_real ) > real ).

tff(func_def_3496,type,
    iG1858: ( int * int ) > product_prod_int_int ).

tff(func_def_3497,type,
    iG1859: ( int * int ) > product_prod_int_int ).

tff(func_def_3498,type,
    iG1860: nat > extended_enat ).

tff(func_def_3499,type,
    iG1861: ( nat * nat ) > complex ).

tff(func_def_3500,type,
    iG1862: ( nat * nat ) > real ).

tff(func_def_3501,type,
    iG1863: ( nat * nat ) > rat ).

tff(func_def_3502,type,
    iG1864: ( nat * nat ) > int ).

tff(func_def_3503,type,
    lG1865: code_integer > int ).

tff(func_def_3504,type,
    iG1866: ( code_integer * code_integer ) > int ).

tff(func_def_3505,type,
    lG1867: code_integer > num ).

tff(func_def_3506,type,
    lG1868: code_integer > num ).

tff(func_def_3507,type,
    iG1869: ( code_integer * code_integer ) > num ).

tff(func_def_3508,type,
    lG1870: code_integer > nat ).

tff(func_def_3509,type,
    lG1871: code_integer > nat ).

tff(func_def_3510,type,
    iG1872: ( code_integer * code_integer ) > nat ).

tff(func_def_3511,type,
    bG1873: int > $o ).

tff(func_def_3512,type,
    iG1874: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3513,type,
    iG1875: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3514,type,
    iG1876: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3515,type,
    iG1877: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_3516,type,
    iG1878: ( int * num * int ) > product_prod_int_int ).

tff(func_def_3517,type,
    iG1879: ( set_nat * nat * fun_nat_real ) > real ).

tff(func_def_3518,type,
    iG1880: ( set_nat * nat * fun_nat_nat ) > nat ).

tff(func_def_3519,type,
    iG1881: ( set_nat * nat * fun_nat_int ) > int ).

tff(func_def_3520,type,
    iG1882: ( extended_enat * extended_enat * fun_Ex1451620480498224165t_real ) > real ).

tff(func_def_3521,type,
    iG1883: ( extended_enat * extended_enat * fun_Ex4152069839811072081at_rat ) > rat ).

tff(func_def_3522,type,
    iG1884: ( complex * complex * fun_complex_real ) > real ).

tff(func_def_3523,type,
    iG1885: ( complex * complex * fun_complex_rat ) > rat ).

tff(func_def_3524,type,
    iG1886: ( real * real * fun_real_real ) > real ).

tff(func_def_3525,type,
    iG1887: ( real * real * fun_real_rat ) > rat ).

tff(func_def_3526,type,
    iG1888: ( real * real * fun_real_nat ) > nat ).

tff(func_def_3527,type,
    iG1889: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3528,type,
    iG1890: ( int * int * fun_int_real ) > real ).

tff(func_def_3529,type,
    iG1891: ( int * int * fun_int_rat ) > rat ).

tff(func_def_3530,type,
    iG1892: ( extended_enat * extended_enat * fun_Ex1451620480498224165t_real ) > real ).

tff(func_def_3531,type,
    iG1893: ( extended_enat * extended_enat * fun_Ex4152069839811072081at_rat ) > rat ).

tff(func_def_3532,type,
    iG1894: ( complex * complex * fun_complex_real ) > real ).

tff(func_def_3533,type,
    iG1895: ( complex * complex * fun_complex_rat ) > rat ).

tff(func_def_3534,type,
    iG1896: ( real * real * fun_real_real ) > real ).

tff(func_def_3535,type,
    iG1897: ( real * real * fun_real_rat ) > rat ).

tff(func_def_3536,type,
    iG1898: ( real * real * fun_real_nat ) > nat ).

tff(func_def_3537,type,
    iG1899: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_3538,type,
    iG1900: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3539,type,
    iG1901: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_3540,type,
    iG1902: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_3541,type,
    iG1903: ( int * int * fun_int_real ) > real ).

tff(func_def_3542,type,
    iG1904: ( int * int * fun_int_rat ) > rat ).

tff(func_def_3543,type,
    iG1905: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3544,type,
    iG1906: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3545,type,
    iG1907: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_3546,type,
    iG1908: ( nat * fun_nat_o * fun_nat_real ) > real ).

tff(func_def_3547,type,
    iG1909: ( nat * fun_nat_o * fun_nat_nat ) > nat ).

tff(func_def_3548,type,
    iG1910: ( nat * fun_nat_o * fun_nat_int ) > int ).

tff(func_def_3549,type,
    iG1911: ( extended_enat * fun_Extended_enat_o * fun_Ex1451620480498224165t_real ) > real ).

tff(func_def_3550,type,
    iG1912: ( extended_enat * fun_Extended_enat_o * fun_Ex4152069839811072081at_rat ) > rat ).

tff(func_def_3551,type,
    iG1913: ( complex * fun_complex_o * fun_complex_real ) > real ).

tff(func_def_3552,type,
    iG1914: ( complex * fun_complex_o * fun_complex_rat ) > rat ).

tff(func_def_3553,type,
    iG1915: ( real * fun_real_o * fun_real_real ) > real ).

tff(func_def_3554,type,
    iG1916: ( real * fun_real_o * fun_real_rat ) > rat ).

tff(func_def_3555,type,
    iG1917: ( real * fun_real_o * fun_real_nat ) > nat ).

tff(func_def_3556,type,
    iG1918: ( nat * fun_nat_o * fun_nat_rat ) > rat ).

tff(func_def_3557,type,
    iG1919: ( int * fun_int_o * fun_int_real ) > real ).

tff(func_def_3558,type,
    iG1920: ( int * fun_int_o * fun_int_rat ) > rat ).

tff(func_def_3559,type,
    iG1921: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_3560,type,
    bG1922: code_integer > $o ).

tff(func_def_3561,type,
    iG1923: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_3562,type,
    iG1924: ( nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3563,type,
    iG1925: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3564,type,
    iG1926: ( nat * nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_3565,type,
    iG1927: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_3566,type,
    iG1928: ( nat * nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3567,type,
    iG1929: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_3568,type,
    iG1930: ( nat * nat * fun_nat_int * fun_nat_int ) > int ).

tff(func_def_3569,type,
    iG1931: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_3570,type,
    iG1932: ( nat * nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_3571,type,
    iG1933: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_3572,type,
    iG1934: ( nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3573,type,
    iG1935: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_3574,type,
    iG1936: ( nat * nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_3575,type,
    iG1937: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_3576,type,
    iG1938: ( nat * nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3577,type,
    iG1939: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_3578,type,
    iG1940: ( nat * nat * fun_nat_int * fun_nat_int ) > int ).

tff(func_def_3579,type,
    iG1941: ( nat * nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_3580,type,
    iG1942: ( nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_3581,type,
    iG1943: ( nat * nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_3582,type,
    iG1944: ( nat * nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3583,type,
    iG1945: ( nat * nat * fun_nat_int * fun_nat_int ) > int ).

tff(func_def_3584,type,
    iG1946: ( nat * nat ) > code_integer ).

tff(func_def_3585,type,
    iG1947: ( nat * nat * code_integer ) > code_integer ).

tff(func_def_3586,type,
    iG1948: ( nat * nat ) > complex ).

tff(func_def_3587,type,
    iG1949: ( nat * nat * complex ) > complex ).

tff(func_def_3588,type,
    iG1950: ( nat * nat ) > real ).

tff(func_def_3589,type,
    iG1951: ( nat * nat * real ) > real ).

tff(func_def_3590,type,
    iG1952: ( nat * nat ) > rat ).

tff(func_def_3591,type,
    iG1953: ( nat * nat * rat ) > rat ).

tff(func_def_3592,type,
    iG1954: ( nat * nat ) > int ).

tff(func_def_3593,type,
    iG1955: ( nat * nat * int ) > int ).

tff(func_def_3594,type,
    bG1957: $o > $o ).

tff(func_def_3595,type,
    bG1958: $o > $o ).

tff(func_def_3596,type,
    bG1959: $o > $o ).

tff(func_def_3597,type,
    bG1960: $o > $o ).

tff(func_def_3598,type,
    sK2001: fun_nat_o > nat ).

tff(func_def_3599,type,
    sK2002: nat > nat ).

tff(func_def_3600,type,
    sK2003: nat > nat ).

tff(func_def_3601,type,
    sK2004: nat > nat ).

tff(func_def_3602,type,
    sK2005: nat > nat ).

tff(func_def_3603,type,
    sK2006: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3604,type,
    sK2007: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3605,type,
    sK2008: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3606,type,
    sK2009: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3607,type,
    sK2010: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3608,type,
    sK2011: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3609,type,
    sK2012: nat > nat ).

tff(func_def_3610,type,
    sK2013: nat > nat ).

tff(func_def_3611,type,
    sK2014: nat > nat ).

tff(func_def_3612,type,
    sK2015: nat > nat ).

tff(func_def_3613,type,
    sK2016: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3614,type,
    sK2017: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3615,type,
    sK2018: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3616,type,
    sK2019: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3617,type,
    sK2020: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3618,type,
    sK2021: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_3619,type,
    sK2022: fun_nat_o > nat ).

tff(func_def_3620,type,
    sK2023: fun_nat_o > nat ).

tff(func_def_3621,type,
    sK2024: fun_nat_fun_nat_o > nat ).

tff(func_def_3622,type,
    sK2025: fun_nat_fun_nat_o > nat ).

tff(func_def_3623,type,
    sK2026: fun_nat_fun_nat_o > nat ).

tff(func_def_3624,type,
    sK2027: fun_nat_fun_nat_o > nat ).

tff(func_def_3625,type,
    sK2028: fun_nat_fun_nat_o > nat ).

tff(func_def_3626,type,
    sK2029: fun_nat_o > nat ).

tff(func_def_3627,type,
    sK2030: ( fun_nat_o * nat ) > nat ).

tff(func_def_3628,type,
    sK2031: fun_nat_o > nat ).

tff(func_def_3629,type,
    sK2032: fun_nat_o > nat ).

tff(func_def_3630,type,
    sK2033: nat > nat ).

tff(func_def_3631,type,
    sK2034: ( nat * nat ) > nat ).

tff(func_def_3632,type,
    sK2035: ( nat * nat ) > nat ).

tff(func_def_3633,type,
    sK2036: ( nat * nat ) > nat ).

tff(func_def_3634,type,
    sK2037: ( nat * nat ) > nat ).

tff(func_def_3635,type,
    sK2038: ( nat * nat ) > nat ).

tff(func_def_3636,type,
    sK2039: nat > nat ).

tff(func_def_3637,type,
    sK2040: nat > nat ).

tff(func_def_3638,type,
    sK2041: fun_nat_nat > nat ).

tff(func_def_3639,type,
    sK2042: fun_nat_nat > nat ).

tff(func_def_3640,type,
    sK2043: ( nat * nat ) > nat ).

tff(func_def_3641,type,
    sK2044: ( nat * nat ) > nat ).

tff(func_def_3642,type,
    sK2045: ( nat * nat ) > nat ).

tff(func_def_3643,type,
    sK2046: fun_nat_fun_nat_o > nat ).

tff(func_def_3644,type,
    sK2047: fun_nat_fun_nat_o > nat ).

tff(func_def_3645,type,
    sK2048: fun_nat_fun_nat_o > nat ).

tff(func_def_3646,type,
    sK2049: fun_nat_fun_nat_o > nat ).

tff(func_def_3647,type,
    sK2050: fun_nat_fun_nat_o > nat ).

tff(func_def_3648,type,
    sK2051: ( nat * nat ) > nat ).

tff(func_def_3649,type,
    sK2052: ( nat * nat ) > nat ).

tff(func_def_3650,type,
    sK2053: ( nat * nat ) > nat ).

tff(func_def_3651,type,
    sK2054: fun_nat_o > nat ).

tff(func_def_3652,type,
    sK2055: fun_nat_o > nat ).

tff(func_def_3653,type,
    sK2056: fun_nat_o > nat ).

tff(func_def_3654,type,
    sK2057: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3655,type,
    sK2058: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3656,type,
    sK2059: fun_nat_o > nat ).

tff(func_def_3657,type,
    sK2060: fun_nat_o > nat ).

tff(func_def_3658,type,
    sK2061: nat > nat ).

tff(func_def_3659,type,
    sK2062: ( nat * fun_nat_o ) > nat ).

tff(func_def_3660,type,
    sK2063: ( nat * fun_nat_o ) > nat ).

tff(func_def_3661,type,
    sK2064: nat > nat ).

tff(func_def_3662,type,
    sK2065: ( nat * fun_nat_o ) > nat ).

tff(func_def_3663,type,
    sK2066: ( nat * fun_nat_o ) > nat ).

tff(func_def_3664,type,
    sK2067: nat > nat ).

tff(func_def_3665,type,
    sK2068: ( nat * nat ) > nat ).

tff(func_def_3666,type,
    sK2069: fun_nat_nat > nat ).

tff(func_def_3667,type,
    sK2070: fun_nat_nat > nat ).

tff(func_def_3668,type,
    sK2071: ( nat * nat ) > nat ).

tff(func_def_3669,type,
    sK2072: ( nat * nat ) > nat ).

tff(func_def_3670,type,
    sK2073: ( nat * fun_nat_o ) > nat ).

tff(func_def_3671,type,
    sK2074: ( nat * fun_nat_o ) > nat ).

tff(func_def_3672,type,
    sK2075: ( nat * fun_nat_o ) > nat ).

tff(func_def_3673,type,
    sK2076: ( nat * fun_nat_o ) > nat ).

tff(func_def_3674,type,
    sK2077: ( nat * nat ) > nat ).

tff(func_def_3675,type,
    sK2078: fun_nat_fun_nat_o > nat ).

tff(func_def_3676,type,
    sK2079: fun_nat_fun_nat_o > nat ).

tff(func_def_3677,type,
    sK2080: fun_nat_fun_nat_o > nat ).

tff(func_def_3678,type,
    sK2081: fun_nat_fun_nat_o > nat ).

tff(func_def_3679,type,
    sK2082: ( nat * fun_nat_o ) > nat ).

tff(func_def_3680,type,
    sK2083: ( nat * fun_nat_o ) > nat ).

tff(func_def_3681,type,
    sK2084: nat > nat ).

tff(func_def_3682,type,
    sK2085: nat > nat ).

tff(func_def_3683,type,
    sK2086: fun_nat_o > nat ).

tff(func_def_3684,type,
    sK2087: fun_nat_fun_nat_o > nat ).

tff(func_def_3685,type,
    sK2088: fun_nat_fun_nat_o > nat ).

tff(func_def_3686,type,
    sK2089: fun_nat_fun_nat_o > nat ).

tff(func_def_3687,type,
    sK2090: fun_nat_fun_nat_o > nat ).

tff(func_def_3688,type,
    sK2091: fun_nat_o > nat ).

tff(func_def_3689,type,
    sK2092: nat > nat ).

tff(func_def_3690,type,
    sK2093: fun_nat_o > nat ).

tff(func_def_3691,type,
    sK2094: fun_nat_o > nat ).

tff(func_def_3692,type,
    sK2095: ( fun_nat_o * nat ) > nat ).

tff(func_def_3693,type,
    sK2096: ( fun_nat_o * nat ) > nat ).

tff(func_def_3694,type,
    sK2097: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_3695,type,
    sK2098: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_3696,type,
    sK2099: fun_nat_nat > nat ).

tff(func_def_3697,type,
    sK2100: fun_nat_nat > nat ).

tff(func_def_3698,type,
    sK2101: fun_nat_fun_nat_o > nat ).

tff(func_def_3699,type,
    sK2102: fun_nat_fun_nat_o > nat ).

tff(func_def_3700,type,
    sK2103: fun_nat_fun_nat_o > nat ).

tff(func_def_3701,type,
    sK2104: fun_nat_fun_nat_o > nat ).

tff(func_def_3702,type,
    sK2105: fun_nat_fun_nat_o > nat ).

tff(func_def_3703,type,
    sK2106: ( nat * fun_nat_o ) > nat ).

tff(func_def_3704,type,
    sK2107: fun_nat_o > nat ).

tff(func_def_3705,type,
    sK2108: nat > nat ).

tff(func_def_3706,type,
    sK2109: ( fun_nat_o * nat ) > nat ).

tff(func_def_3707,type,
    sK2110: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_3708,type,
    sK2111: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_3709,type,
    sK2112: nat > nat ).

tff(func_def_3710,type,
    sK2113: nat > nat ).

tff(func_def_3711,type,
    sK2114: nat > nat ).

tff(func_def_3712,type,
    sK2115: nat > nat ).

tff(func_def_3713,type,
    sK2116: fun_nat_o > nat ).

tff(func_def_3714,type,
    sK2117: ( fun_nat_o * nat ) > nat ).

tff(func_def_3715,type,
    sK2118: fun_nat_fun_nat_o > nat ).

tff(func_def_3716,type,
    sK2119: fun_nat_fun_nat_o > nat ).

tff(func_def_3717,type,
    sK2120: fun_nat_fun_nat_o > nat ).

tff(func_def_3718,type,
    sK2121: fun_nat_fun_nat_o > nat ).

tff(func_def_3719,type,
    sK2122: fun_nat_nat > nat ).

tff(func_def_3720,type,
    sK2123: fun_nat_nat > nat ).

tff(func_def_3721,type,
    sK2124: ( nat * fun_nat_o ) > nat ).

tff(func_def_3722,type,
    sK2125: ( nat * fun_nat_o ) > nat ).

tff(func_def_3723,type,
    sK2126: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3724,type,
    sK2127: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3725,type,
    sK2128: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_3726,type,
    sK2129: nat > nat ).

tff(func_def_3727,type,
    sK2130: num > num ).

tff(func_def_3728,type,
    sK2131: num > num ).

tff(func_def_3729,type,
    sK2132: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3730,type,
    sK2133: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3731,type,
    sK2134: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3732,type,
    sK2135: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_3733,type,
    sK2136: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_3734,type,
    sK2137: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3735,type,
    sK2138: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3736,type,
    sK2139: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3737,type,
    sK2140: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3738,type,
    sK2141: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3739,type,
    sK2142: real > real ).

tff(func_def_3740,type,
    sK2143: real > real ).

tff(func_def_3741,type,
    sK2144: real > real ).

tff(func_def_3742,type,
    sK2145: ( real * real ) > real ).

tff(func_def_3743,type,
    sK2146: ( real * real * fun_real_o ) > real ).

tff(func_def_3744,type,
    sK2147: ( real * fun_real_o * real ) > real ).

tff(func_def_3745,type,
    sK2148: real > real ).

tff(func_def_3746,type,
    sK2149: real > real ).

tff(func_def_3747,type,
    sK2150: real > real ).

tff(func_def_3748,type,
    sK2151: real > real ).

tff(func_def_3749,type,
    sK2152: real > real ).

tff(func_def_3750,type,
    sK2153: real > real ).

tff(func_def_3751,type,
    sK2154: real > real ).

tff(func_def_3752,type,
    sK2155: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3753,type,
    sK2156: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3754,type,
    sK2157: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3755,type,
    sK2158: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3756,type,
    sK2159: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3757,type,
    sK2160: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3758,type,
    sK2161: real > real ).

tff(func_def_3759,type,
    sK2162: real > real ).

tff(func_def_3760,type,
    sK2163: real > real ).

tff(func_def_3761,type,
    sK2164: real > real ).

tff(func_def_3762,type,
    sK2165: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3763,type,
    sK2166: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3764,type,
    sK2167: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3765,type,
    sK2168: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3766,type,
    sK2169: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_3767,type,
    sK2170: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_3768,type,
    sK2171: real > real ).

tff(func_def_3769,type,
    sK2172: fun_real_real > real ).

tff(func_def_3770,type,
    sK2173: fun_real_real > real ).

tff(func_def_3771,type,
    sK2174: fun_real_real > real ).

tff(func_def_3772,type,
    sK2175: fun_real_real > real ).

tff(func_def_3773,type,
    sK2176: ( real * real * real ) > real ).

tff(func_def_3774,type,
    sK2177: ( real * real * real ) > real ).

tff(func_def_3775,type,
    sK2178: ( real * real ) > real ).

tff(func_def_3776,type,
    sK2179: ( real * real ) > real ).

tff(func_def_3777,type,
    sK2180: fun_real_real > real ).

tff(func_def_3778,type,
    sK2181: fun_real_real > real ).

tff(func_def_3779,type,
    sK2182: fun_real_real > real ).

tff(func_def_3780,type,
    sK2183: fun_real_real > real ).

tff(func_def_3781,type,
    sK2184: fun_real_real > real ).

tff(func_def_3782,type,
    sK2185: fun_real_real > real ).

tff(func_def_3783,type,
    sK2186: fun_real_real > real ).

tff(func_def_3784,type,
    sK2187: fun_real_real > real ).

tff(func_def_3785,type,
    sK2188: fun_real_fun_real_o > real ).

tff(func_def_3786,type,
    sK2189: fun_real_fun_real_o > real ).

tff(func_def_3787,type,
    sK2190: fun_real_fun_real_o > real ).

tff(func_def_3788,type,
    sK2191: fun_real_fun_real_o > real ).

tff(func_def_3789,type,
    sK2192: fun_real_fun_real_o > real ).

tff(func_def_3790,type,
    sK2193: ( real * real ) > real ).

tff(func_def_3791,type,
    sK2194: real > real ).

tff(func_def_3792,type,
    sK2195: real > real ).

tff(func_def_3793,type,
    sK2196: ( real * nat ) > real ).

tff(func_def_3794,type,
    sK2197: ( real * real ) > nat ).

tff(func_def_3795,type,
    sK2198: ( real * real ) > nat ).

tff(func_def_3796,type,
    sK2199: ( nat * real ) > real ).

tff(func_def_3797,type,
    sK2200: ( nat * real ) > real ).

tff(func_def_3798,type,
    sK2201: fun_nat_real > nat ).

tff(func_def_3799,type,
    sK2202: fun_nat_real > nat ).

tff(func_def_3800,type,
    sK2203: fun_nat_real > nat ).

tff(func_def_3801,type,
    sK2204: fun_nat_real > nat ).

tff(func_def_3802,type,
    sK2205: fun_nat_real > nat ).

tff(func_def_3803,type,
    sK2206: fun_nat_real > nat ).

tff(func_def_3804,type,
    sK2207: fun_nat_real > nat ).

tff(func_def_3805,type,
    sK2208: fun_nat_real > nat ).

tff(func_def_3806,type,
    sK2209: ( real * real ) > real ).

tff(func_def_3807,type,
    sK2210: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3808,type,
    sK2211: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3809,type,
    sK2212: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3810,type,
    sK2213: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3811,type,
    sK2214: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3812,type,
    sK2215: list_VEBT_VEBT > nat ).

tff(func_def_3813,type,
    sK2216: vEBT_VEBT > nat ).

tff(func_def_3814,type,
    sK2217: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3815,type,
    sK2218: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3816,type,
    sK2219: list_VEBT_VEBT > nat ).

tff(func_def_3817,type,
    sK2220: vEBT_VEBT > nat ).

tff(func_def_3818,type,
    sK2221: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3819,type,
    sK2222: vEBT_VEBT > nat ).

tff(func_def_3820,type,
    sK2223: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3821,type,
    sK2224: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3822,type,
    sK2225: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3823,type,
    sK2226: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3824,type,
    sK2227: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3825,type,
    sK2228: list_VEBT_VEBT > nat ).

tff(func_def_3826,type,
    sK2229: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3827,type,
    sK2230: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3828,type,
    sK2231: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_3829,type,
    sK2232: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3830,type,
    sK2233: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_3831,type,
    sK2234: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3832,type,
    sK2235: list_VEBT_VEBT > nat ).

tff(func_def_3833,type,
    sK2236: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3834,type,
    sK2237: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3835,type,
    sK2238: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3836,type,
    sK2239: ( int * fun_int_o ) > int ).

tff(func_def_3837,type,
    sK2240: fun_nat_int > nat ).

tff(func_def_3838,type,
    sK2241: fun_nat_int > nat ).

tff(func_def_3839,type,
    sK2242: fun_int_o > int ).

tff(func_def_3840,type,
    sK2243: fun_int_o > int ).

tff(func_def_3841,type,
    sK2244: ( int * fun_int_o ) > int ).

tff(func_def_3842,type,
    sK2245: ( int * fun_int_o ) > int ).

tff(func_def_3843,type,
    sK2246: ( real * real ) > real ).

tff(func_def_3844,type,
    sK2247: option_nat > nat ).

tff(func_def_3845,type,
    sK2248: option_nat > nat ).

tff(func_def_3846,type,
    sK2249: option_nat > nat ).

tff(func_def_3847,type,
    sK2250: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_3848,type,
    sK2251: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_3849,type,
    sK2252: ( nat * nat * nat ) > nat ).

tff(func_def_3850,type,
    sK2253: ( nat * nat * nat ) > nat ).

tff(func_def_3851,type,
    sK2254: ( nat * nat * nat ) > nat ).

tff(func_def_3852,type,
    sK2255: ( nat * nat ) > nat ).

tff(func_def_3853,type,
    sK2256: fun_nat_fun_nat_o > nat ).

tff(func_def_3854,type,
    sK2257: fun_nat_fun_nat_o > nat ).

tff(func_def_3855,type,
    sK2258: fun_nat_fun_nat_o > nat ).

tff(func_def_3856,type,
    sK2259: ( fun_nat_o * nat ) > nat ).

tff(func_def_3857,type,
    sK2260: fun_nat_int > nat ).

tff(func_def_3858,type,
    sK2261: fun_nat_int > nat ).

tff(func_def_3859,type,
    sK2262: ( int * int * fun_int_o ) > int ).

tff(func_def_3860,type,
    sK2263: ( int * fun_int_o * int ) > int ).

tff(func_def_3861,type,
    sK2264: int > int ).

tff(func_def_3862,type,
    sK2265: int > int ).

tff(func_def_3863,type,
    sK2266: int > int ).

tff(func_def_3864,type,
    sK2267: int > int ).

tff(func_def_3865,type,
    sK2268: int > int ).

tff(func_def_3866,type,
    sK2269: int > int ).

tff(func_def_3867,type,
    sK2270: int > int ).

tff(func_def_3868,type,
    sK2271: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3869,type,
    sK2272: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3870,type,
    sK2273: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3871,type,
    sK2274: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3872,type,
    sK2275: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3873,type,
    sK2276: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3874,type,
    sK2277: int > int ).

tff(func_def_3875,type,
    sK2278: int > int ).

tff(func_def_3876,type,
    sK2279: int > int ).

tff(func_def_3877,type,
    sK2280: int > int ).

tff(func_def_3878,type,
    sK2281: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3879,type,
    sK2282: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3880,type,
    sK2283: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3881,type,
    sK2284: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3882,type,
    sK2285: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3883,type,
    sK2286: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3884,type,
    sK2287: int > int ).

tff(func_def_3885,type,
    sK2288: fun_int_fun_int_o > int ).

tff(func_def_3886,type,
    sK2289: fun_int_fun_int_o > int ).

tff(func_def_3887,type,
    sK2290: fun_int_fun_int_o > int ).

tff(func_def_3888,type,
    sK2291: fun_int_fun_int_o > int ).

tff(func_def_3889,type,
    sK2292: fun_int_fun_int_o > int ).

tff(func_def_3890,type,
    sK2293: int > int ).

tff(func_def_3891,type,
    sK2294: int > int ).

tff(func_def_3892,type,
    sK2295: fun_int_fun_int_o > int ).

tff(func_def_3893,type,
    sK2296: fun_int_fun_int_o > int ).

tff(func_def_3894,type,
    sK2297: fun_int_fun_int_o > int ).

tff(func_def_3895,type,
    sK2298: fun_int_fun_int_o > int ).

tff(func_def_3896,type,
    sK2299: nat > nat ).

tff(func_def_3897,type,
    sK2300: nat > nat ).

tff(func_def_3898,type,
    sK2301: ( nat * nat ) > nat ).

tff(func_def_3899,type,
    sK2302: ( nat * nat ) > nat ).

tff(func_def_3900,type,
    sK2303: ( nat * nat ) > nat ).

tff(func_def_3901,type,
    sK2304: ( nat * nat ) > nat ).

tff(func_def_3902,type,
    sK2305: ( fun_nat_o * nat ) > nat ).

tff(func_def_3903,type,
    sK2306: ( fun_nat_o * nat ) > nat ).

tff(func_def_3904,type,
    sK2307: ( nat * nat ) > nat ).

tff(func_def_3905,type,
    sK2308: ( nat * nat ) > nat ).

tff(func_def_3906,type,
    sK2309: ( nat * nat ) > nat ).

tff(func_def_3907,type,
    sK2310: ( nat * nat ) > nat ).

tff(func_def_3908,type,
    sK2311: ( nat * nat ) > nat ).

tff(func_def_3909,type,
    sK2312: ( real * real ) > nat ).

tff(func_def_3910,type,
    sK2313: ( real * real ) > nat ).

tff(func_def_3911,type,
    sK2314: ( real * real ) > nat ).

tff(func_def_3912,type,
    sK2315: real > nat ).

tff(func_def_3913,type,
    sK2316: real > nat ).

tff(func_def_3914,type,
    sK2317: real > nat ).

tff(func_def_3915,type,
    sK2318: ( real * fun_real_o ) > real ).

tff(func_def_3916,type,
    sK2319: ( real * fun_real_o ) > real ).

tff(func_def_3917,type,
    sK2320: ( fun_real_o * real ) > real ).

tff(func_def_3918,type,
    sK2321: ( fun_real_o * real ) > real ).

tff(func_def_3919,type,
    sK2322: ( real * fun_real_o ) > real ).

tff(func_def_3920,type,
    sK2323: ( real * fun_real_o ) > real ).

tff(func_def_3921,type,
    sK2324: ( fun_real_o * real ) > real ).

tff(func_def_3922,type,
    sK2325: ( fun_real_o * real ) > real ).

tff(func_def_3923,type,
    sK2326: ( fun_real_fun_real_o * real * real ) > real ).

tff(func_def_3924,type,
    sK2327: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_3925,type,
    sK2328: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_3926,type,
    sK2329: fun_real_fun_real_o > real ).

tff(func_def_3927,type,
    sK2330: fun_real_fun_real_o > real ).

tff(func_def_3928,type,
    sK2331: fun_real_fun_real_o > real ).

tff(pred_def_1,type,
    bNF_re2807294637932363402at_nat: ( fun_in4891666191172872833eger_o * fun_nat_fun_nat_o * fun_int_nat * fun_Code_integer_nat ) > $o ).

tff(pred_def_2,type,
    bNF_re6718328864250387230um_num: ( fun_in4891666191172872833eger_o * fun_num_fun_num_o * fun_int_num * fun_Code_integer_num ) > $o ).

tff(pred_def_3,type,
    bNF_re5122946609719563319eger_o: ( fun_in4891666191172872833eger_o * fun_fu4168831735773172575er_o_o * fun_int_fun_int_o * fun_Co2081214437782444048eger_o ) > $o ).

tff(pred_def_4,type,
    bNF_re3715656647883201625at_nat: ( fun_int_fun_int_o * fun_nat_fun_nat_o * fun_int_nat * fun_int_nat ) > $o ).

tff(pred_def_5,type,
    bNF_re7626690874201225453um_num: ( fun_int_fun_int_o * fun_num_fun_num_o * fun_int_num * fun_int_num ) > $o ).

tff(pred_def_6,type,
    bNF_re8654322613993568759_int_o: ( fun_int_fun_int_o * fun_fu6971708032831053102nt_o_o * fun_int_fun_int_o * fun_int_fun_int_o ) > $o ).

tff(pred_def_7,type,
    bNF_re4808202430149235895nt_int: ( fun_int_fun_int_o * fun_fu6699046866436802030_int_o * fun_in1696471567231710611nt_int * fun_in1696471567231710611nt_int ) > $o ).

tff(pred_def_8,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_9,type,
    bNF_re4153400068438556298nteger: ( fun_nat_fun_nat_o * fun_in4891666191172872833eger_o * fun_nat_int * fun_nat_Code_integer ) > $o ).

tff(pred_def_10,type,
    bNF_re6650684261131312217nt_int: ( fun_nat_fun_nat_o * fun_int_fun_int_o * fun_nat_int * fun_nat_int ) > $o ).

tff(pred_def_11,type,
    bNF_re6830278522597306478at_int: ( fun_nat_fun_nat_o * fun_Pr4738963024209204295_int_o * fun_na1476630412504255114at_nat * fun_nat_int ) > $o ).

tff(pred_def_12,type,
    bNF_re1448341924010609215_nat_o: ( fun_nat_fun_nat_o * fun_fu7564235448449272366at_o_o * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_13,type,
    bNF_re4520166952630509772nteger: ( fun_num_fun_num_o * fun_fu6196024946523381971eger_o * fun_num_fun_num_int * fun_nu2537414170016844299nteger ) > $o ).

tff(pred_def_14,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_15,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_16,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o * fun_Pr2478283820680522243nt_int * fun_Pr2478283820680522243nt_int ) > $o ).

tff(pred_def_17,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_18,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr7537129237977221859_rat_o * fun_Pr7537129237977221859_rat_o * fun_Pr2478283820680522243nt_int * fun_rat_rat ) > $o ).

tff(pred_def_19,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr4738963024209204295_int_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_20,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_21,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr4738963024209204295_int_o * fun_fu4638078822479986034_int_o * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_22,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr2028404973800837934_nat_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_23,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_24,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr2028404973800837934_nat_o * fun_fu3373238862511017284_nat_o * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_25,type,
    bNF_re6090955117988708457real_o: ( fun_fu1771228864347509049real_o * fun_fu7981297689148232565al_o_o * fun_fu6714665071556184448_rat_o * fun_real_fun_real_o ) > $o ).

tff(pred_def_26,type,
    bNF_re1162444993429354318l_real: ( fun_fu1771228864347509049real_o * fun_fu6910828598506988974real_o * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_27,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_28,type,
    bNF_re769765379126235449at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu1950632212952468284_rat_o * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_29,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_30,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_31,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_32,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_33,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_34,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_35,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

tff(pred_def_36,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_37,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_38,type,
    filterlim_int_nat: ( fun_int_nat * filter_nat * filter_int ) > $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,
    finite_finite_o: set_o > $o ).

tff(pred_def_44,type,
    finite_finite_list_o: set_list_o > $o ).

tff(pred_def_45,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

tff(pred_def_46,type,
    finite1862508098717546133d_enat: set_li5464603477888414924d_enat > $o ).

tff(pred_def_47,type,
    finite3922522038869484883st_int: set_list_int > $o ).

tff(pred_def_48,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_49,type,
    finite500796754983035824at_nat: set_li5450038453877631591at_nat > $o ).

tff(pred_def_50,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_51,type,
    finite5523153139673422903on_nat: set_option_nat > $o ).

tff(pred_def_52,type,
    finite6177210948735845034at_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_53,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_54,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_55,type,
    fun_is_measure_int: fun_int_nat > $o ).

tff(pred_def_56,type,
    fun_re2478310338295953701at_nat: produc1319942482725812455at_nat > $o ).

tff(pred_def_57,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_58,type,
    quotie1194848508323700631at_int: ( fun_Pr2028404973800837934_nat_o * fun_Pr7647638413817135296at_int * fun_in4514472496968388910at_nat * fun_Pr4738963024209204295_int_o ) > $o ).

tff(pred_def_59,type,
    quotie6870213296501934825t_real: ( fun_fu6714665071556184448_rat_o * fun_fun_nat_rat_real * fun_real_fun_nat_rat * fun_fu1771228864347509049real_o ) > $o ).

tff(pred_def_60,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_61,type,
    ord_less_set_set_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_62,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_63,type,
    ord_less_eq_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_64,type,
    ord_le3146513528884898305at_nat: ( set_Pr1261947904930325089at_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_65,type,
    ord_le6893508408891458716et_nat: ( set_set_nat * set_set_nat ) > $o ).

tff(pred_def_66,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_67,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_68,type,
    order_4130057895858720880d_enat: fun_Ex5852502975177633731d_enat > $o ).

tff(pred_def_69,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_70,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_71,type,
    order_mono_real_real: fun_real_real > $o ).

tff(pred_def_72,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_73,type,
    order_7092887310737990675l_real: fun_real_real > $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,
    transp_fun_nat_rat: fun_fu6714665071556184448_rat_o > $o ).

tff(pred_def_77,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_78,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_79,type,
    summable_nat: fun_nat_nat > $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,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_86,type,
    bi_tot896582865486249351at_int: fun_Pr4738963024209204295_int_o > $o ).

tff(pred_def_87,type,
    type_d7649664348572268762on_nat: ( fun_Ex621978932285409945on_nat * fun_op7883857814936610463d_enat * set_option_nat ) > $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_P6183159247885693666d_enat: ( fun_Pr1263128411319240110enat_o * produc7272778201969148633d_enat ) > $o ).

tff(pred_def_92,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_93,type,
    wf_int: set_Pr958786334691620121nt_int > $o ).

tff(pred_def_94,type,
    wf_nat: set_Pr1261947904930325089at_nat > $o ).

tff(pred_def_95,type,
    wf_Pro7803398752247294826at_nat: set_Pr8693737435421807431at_nat > $o ).

tff(pred_def_96,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_97,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_98,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_99,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_100,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_101,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_102,type,
    aa_list_complex_o: ( fun_list_complex_o * list_complex ) > $o ).

tff(pred_def_103,type,
    aa_lis6083379149953029096enat_o: ( fun_li827083013690791791enat_o * list_Extended_enat ) > $o ).

tff(pred_def_104,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_105,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_106,type,
    aa_lis2793599718760257805_nat_o: ( fun_li7366011709773453460_nat_o * list_P6011104703257516679at_nat ) > $o ).

tff(pred_def_107,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_108,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_109,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_110,type,
    aa_option_nat_o: ( fun_option_nat_o * option_nat ) > $o ).

tff(pred_def_111,type,
    aa_option_num_o: ( fun_option_num_o * option_num ) > $o ).

tff(pred_def_112,type,
    aa_opt7112393969400857165_nat_o: ( fun_op8028897214545316308_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_113,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_114,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_115,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_116,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_117,type,
    aa_set_complex_o: ( fun_set_complex_o * set_complex ) > $o ).

tff(pred_def_118,type,
    aa_set3337841544853333262enat_o: ( fun_se8123728892507317397enat_o * set_Extended_enat ) > $o ).

tff(pred_def_119,type,
    aa_set_int_o: ( fun_set_int_o * set_int ) > $o ).

tff(pred_def_120,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_121,type,
    aa_set_num_o: ( fun_set_num_o * set_num ) > $o ).

tff(pred_def_122,type,
    aa_set_rat_o: ( fun_set_rat_o * set_rat ) > $o ).

tff(pred_def_123,type,
    aa_set_real_o: ( fun_set_real_o * set_real ) > $o ).

tff(pred_def_124,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_125,type,
    aa_fun_int_int_o: ( fun_fun_int_int_o * fun_int_int ) > $o ).

tff(pred_def_126,type,
    aa_fun_nat_rat_o: ( fun_fun_nat_rat_o * fun_nat_rat ) > $o ).

tff(pred_def_127,type,
    aa_fun3538214411680374423_nat_o: ( fun_fu8391177546919232046_nat_o * fun_Pr2118491707810114563at_nat ) > $o ).

tff(pred_def_128,type,
    aa_fun_real_o_o: ( fun_fun_real_o_o * fun_real_o ) > $o ).

tff(pred_def_129,type,
    aa_fun_real_real_o: ( fun_fun_real_real_o * fun_real_real ) > $o ).

tff(pred_def_130,type,
    aa_fun175815717583936595_rat_o: ( fun_fu4846507671440591850_rat_o * fun_fu8328862064278946247at_rat ) > $o ).

tff(pred_def_131,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_132,type,
    member_list_o: ( list_o * set_list_o ) > $o ).

tff(pred_def_133,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_134,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_135,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_136,type,
    member_option_nat: ( option_nat * set_option_nat ) > $o ).

tff(pred_def_137,type,
    member8440522571783428010at_nat: ( product_prod_nat_nat * set_Pr1261947904930325089at_nat ) > $o ).

tff(pred_def_138,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_139,type,
    member8757157785044589968at_nat: ( produc3843707927480180839at_nat * set_Pr4329608150637261639at_nat ) > $o ).

tff(pred_def_140,type,
    member_set_nat: ( set_nat * set_set_nat ) > $o ).

tff(pred_def_141,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_142,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_143,type,
    iG265: ( int * nat ) > $o ).

tff(pred_def_144,type,
    iG266: ( int * nat ) > $o ).

tff(pred_def_145,type,
    iG272: ( int * nat ) > $o ).

tff(pred_def_146,type,
    iG301: ( num * complex * complex ) > $o ).

tff(pred_def_147,type,
    iG302: ( num * real * real ) > $o ).

tff(pred_def_148,type,
    iG303: ( num * rat * rat ) > $o ).

tff(pred_def_149,type,
    iG304: ( num * complex * complex ) > $o ).

tff(pred_def_150,type,
    iG305: ( num * real * real ) > $o ).

tff(pred_def_151,type,
    iG306: ( num * rat * rat ) > $o ).

tff(pred_def_152,type,
    iG307: ( complex * complex * complex ) > $o ).

tff(pred_def_153,type,
    iG308: ( real * real * real ) > $o ).

tff(pred_def_154,type,
    iG309: ( rat * rat * rat ) > $o ).

tff(pred_def_155,type,
    iG310: ( complex * complex * complex ) > $o ).

tff(pred_def_156,type,
    iG311: ( real * real * real ) > $o ).

tff(pred_def_157,type,
    iG312: ( rat * rat * rat ) > $o ).

tff(pred_def_158,type,
    iG313: ( real * real * real ) > $o ).

tff(pred_def_159,type,
    iG314: ( real * real * real ) > $o ).

tff(pred_def_160,type,
    iG315: ( rat * rat * rat ) > $o ).

tff(pred_def_161,type,
    iG316: ( rat * rat * rat ) > $o ).

tff(pred_def_162,type,
    iG317: ( real * real * real ) > $o ).

tff(pred_def_163,type,
    iG318: ( real * real * real ) > $o ).

tff(pred_def_164,type,
    iG319: ( rat * rat * rat ) > $o ).

tff(pred_def_165,type,
    iG320: ( rat * rat * rat ) > $o ).

tff(pred_def_166,type,
    iG321: ( complex * num * complex ) > $o ).

tff(pred_def_167,type,
    iG322: ( real * num * real ) > $o ).

tff(pred_def_168,type,
    iG323: ( rat * num * rat ) > $o ).

tff(pred_def_169,type,
    iG324: ( complex * num * complex ) > $o ).

tff(pred_def_170,type,
    iG325: ( real * num * real ) > $o ).

tff(pred_def_171,type,
    iG326: ( rat * num * rat ) > $o ).

tff(pred_def_172,type,
    iG336: ( real * real * real ) > $o ).

tff(pred_def_173,type,
    iG337: ( real * real * real ) > $o ).

tff(pred_def_174,type,
    iG338: ( rat * rat * rat ) > $o ).

tff(pred_def_175,type,
    iG339: ( rat * rat * rat ) > $o ).

tff(pred_def_176,type,
    iG340: ( real * real * real ) > $o ).

tff(pred_def_177,type,
    iG341: ( real * real * real ) > $o ).

tff(pred_def_178,type,
    iG342: ( rat * rat * rat ) > $o ).

tff(pred_def_179,type,
    iG343: ( rat * rat * rat ) > $o ).

tff(pred_def_180,type,
    iG344: ( real * num * real ) > $o ).

tff(pred_def_181,type,
    iG345: ( real * num * real ) > $o ).

tff(pred_def_182,type,
    iG346: ( rat * num * rat ) > $o ).

tff(pred_def_183,type,
    iG347: ( rat * num * rat ) > $o ).

tff(pred_def_184,type,
    iG348: ( real * num * real ) > $o ).

tff(pred_def_185,type,
    iG349: ( real * num * real ) > $o ).

tff(pred_def_186,type,
    iG350: ( rat * num * rat ) > $o ).

tff(pred_def_187,type,
    iG351: ( rat * num * rat ) > $o ).

tff(pred_def_188,type,
    iG353: ( real * num * real ) > $o ).

tff(pred_def_189,type,
    iG354: ( real * num * real ) > $o ).

tff(pred_def_190,type,
    iG355: ( rat * num * rat ) > $o ).

tff(pred_def_191,type,
    iG356: ( rat * num * rat ) > $o ).

tff(pred_def_192,type,
    iG357: ( real * num * real ) > $o ).

tff(pred_def_193,type,
    iG358: ( real * num * real ) > $o ).

tff(pred_def_194,type,
    iG359: ( rat * num * rat ) > $o ).

tff(pred_def_195,type,
    iG360: ( rat * num * rat ) > $o ).

tff(pred_def_196,type,
    iG370: ( num * real * real ) > $o ).

tff(pred_def_197,type,
    iG371: ( num * complex * complex ) > $o ).

tff(pred_def_198,type,
    iG372: ( num * rat * rat ) > $o ).

tff(pred_def_199,type,
    iG373: ( num * real * real ) > $o ).

tff(pred_def_200,type,
    iG374: ( num * complex * complex ) > $o ).

tff(pred_def_201,type,
    iG375: ( num * rat * rat ) > $o ).

tff(pred_def_202,type,
    iG390: ( real * real * real ) > $o ).

tff(pred_def_203,type,
    iG391: ( complex * complex * complex ) > $o ).

tff(pred_def_204,type,
    iG392: ( rat * rat * rat ) > $o ).

tff(pred_def_205,type,
    iG393: ( real * real * real ) > $o ).

tff(pred_def_206,type,
    iG394: ( complex * complex * complex ) > $o ).

tff(pred_def_207,type,
    iG395: ( rat * rat * rat ) > $o ).

tff(pred_def_208,type,
    iG396: ( real * real * real ) > $o ).

tff(pred_def_209,type,
    iG397: ( real * real * real ) > $o ).

tff(pred_def_210,type,
    iG398: ( rat * rat * rat ) > $o ).

tff(pred_def_211,type,
    iG399: ( rat * rat * rat ) > $o ).

tff(pred_def_212,type,
    iG400: ( real * real * real ) > $o ).

tff(pred_def_213,type,
    iG401: ( real * real * real ) > $o ).

tff(pred_def_214,type,
    iG402: ( rat * rat * rat ) > $o ).

tff(pred_def_215,type,
    iG403: ( rat * rat * rat ) > $o ).

tff(pred_def_216,type,
    iG404: ( real * num * real ) > $o ).

tff(pred_def_217,type,
    iG405: ( complex * num * complex ) > $o ).

tff(pred_def_218,type,
    iG406: ( rat * num * rat ) > $o ).

tff(pred_def_219,type,
    iG407: ( real * num * real ) > $o ).

tff(pred_def_220,type,
    iG408: ( complex * num * complex ) > $o ).

tff(pred_def_221,type,
    iG409: ( rat * num * rat ) > $o ).

tff(pred_def_222,type,
    iG419: ( real * real * real ) > $o ).

tff(pred_def_223,type,
    iG420: ( real * real * real ) > $o ).

tff(pred_def_224,type,
    iG421: ( rat * rat * rat ) > $o ).

tff(pred_def_225,type,
    iG422: ( rat * rat * rat ) > $o ).

tff(pred_def_226,type,
    iG423: ( real * real * real ) > $o ).

tff(pred_def_227,type,
    iG424: ( real * real * real ) > $o ).

tff(pred_def_228,type,
    iG425: ( rat * rat * rat ) > $o ).

tff(pred_def_229,type,
    iG426: ( rat * rat * rat ) > $o ).

tff(pred_def_230,type,
    iG427: ( real * num * real ) > $o ).

tff(pred_def_231,type,
    iG428: ( real * num * real ) > $o ).

tff(pred_def_232,type,
    iG429: ( rat * num * rat ) > $o ).

tff(pred_def_233,type,
    iG430: ( rat * num * rat ) > $o ).

tff(pred_def_234,type,
    iG431: ( real * num * real ) > $o ).

tff(pred_def_235,type,
    iG432: ( real * num * real ) > $o ).

tff(pred_def_236,type,
    iG433: ( rat * num * rat ) > $o ).

tff(pred_def_237,type,
    iG434: ( rat * num * rat ) > $o ).

tff(pred_def_238,type,
    iG440: ( real * num * real ) > $o ).

tff(pred_def_239,type,
    iG441: ( real * num * real ) > $o ).

tff(pred_def_240,type,
    iG442: ( rat * num * rat ) > $o ).

tff(pred_def_241,type,
    iG443: ( rat * num * rat ) > $o ).

tff(pred_def_242,type,
    iG444: ( real * num * real ) > $o ).

tff(pred_def_243,type,
    iG445: ( real * num * real ) > $o ).

tff(pred_def_244,type,
    iG446: ( rat * num * rat ) > $o ).

tff(pred_def_245,type,
    iG447: ( rat * num * rat ) > $o ).

tff(pred_def_246,type,
    iG535: ( nat * nat * list_o * $o ) > $o ).

tff(pred_def_247,type,
    iG632: ( nat * $o ) > $o ).

tff(pred_def_248,type,
    iG633: ( nat * $o * $o ) > $o ).

tff(pred_def_249,type,
    iG760: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_250,type,
    iG761: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_251,type,
    iG762: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_252,type,
    iG763: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_253,type,
    iG764: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_254,type,
    iG766: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_255,type,
    iG767: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_256,type,
    iG768: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_257,type,
    iG769: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_258,type,
    iG770: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_259,type,
    iG771: ( nat * $o ) > $o ).

tff(pred_def_260,type,
    iG772: ( nat * $o * $o ) > $o ).

tff(pred_def_261,type,
    iG782: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_262,type,
    iG783: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_263,type,
    iG784: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_264,type,
    iG785: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_265,type,
    iG786: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_266,type,
    iG787: ( nat * $o ) > $o ).

tff(pred_def_267,type,
    iG788: ( nat * $o * $o ) > $o ).

tff(pred_def_268,type,
    iG792: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_269,type,
    iG793: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_270,type,
    iG794: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_271,type,
    iG795: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_272,type,
    iG796: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_273,type,
    iG797: ( nat * $o ) > $o ).

tff(pred_def_274,type,
    iG798: ( nat * $o * $o ) > $o ).

tff(pred_def_275,type,
    iG1052: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_276,type,
    iG1054: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_277,type,
    iG1058: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_278,type,
    iG1060: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_279,type,
    iG1064: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_280,type,
    iG1065: ( nat * $o ) > $o ).

tff(pred_def_281,type,
    iG1066: ( nat * $o * $o ) > $o ).

tff(pred_def_282,type,
    iG1070: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_283,type,
    iG1071: ( nat * $o ) > $o ).

tff(pred_def_284,type,
    iG1072: ( nat * $o * $o ) > $o ).

tff(pred_def_285,type,
    iG1075: ( nat * $o ) > $o ).

tff(pred_def_286,type,
    iG1076: ( nat * $o * $o ) > $o ).

tff(pred_def_287,type,
    iG1086: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_288,type,
    iG1088: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_289,type,
    iG1090: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_290,type,
    iG1135: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_291,type,
    iG1137: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_292,type,
    iG1155: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_293,type,
    iG1156: ( nat * $o ) > $o ).

tff(pred_def_294,type,
    iG1157: ( nat * $o * $o ) > $o ).

tff(pred_def_295,type,
    iG1403: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_296,type,
    iG1404: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_297,type,
    iG1405: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_298,type,
    iG1406: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_299,type,
    iG1407: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_300,type,
    iG1408: ( nat * $o ) > $o ).

tff(pred_def_301,type,
    iG1409: ( nat * $o * $o ) > $o ).

tff(pred_def_302,type,
    iG1426: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_303,type,
    iG1427: ( nat * $o ) > $o ).

tff(pred_def_304,type,
    iG1428: ( nat * $o * $o ) > $o ).

tff(pred_def_305,type,
    iG1434: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_306,type,
    iG1435: ( nat * $o ) > $o ).

tff(pred_def_307,type,
    iG1436: ( nat * $o * $o ) > $o ).

tff(pred_def_308,type,
    iG1442: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_309,type,
    iG1443: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_310,type,
    iG1444: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_311,type,
    iG1445: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_312,type,
    iG1446: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_313,type,
    iG1447: ( nat * $o ) > $o ).

tff(pred_def_314,type,
    iG1448: ( nat * $o * $o ) > $o ).

tff(pred_def_315,type,
    iG1457: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_316,type,
    iG1463: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_317,type,
    iG1465: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_318,type,
    iG1471: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_319,type,
    iG1473: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_320,type,
    iG1503: ( int * int * int ) > $o ).

tff(pred_def_321,type,
    iG1504: ( int * int * int ) > $o ).

tff(pred_def_322,type,
    iG1747: ( real * real * real ) > $o ).

tff(pred_def_323,type,
    iG1956: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_324,type,
    sP1961: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_325,type,
    sP1962: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_326,type,
    sP1963: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_327,type,
    sP1964: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_328,type,
    sP1965: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_329,type,
    sP1966: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_330,type,
    sP1967: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_331,type,
    sP1968: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_332,type,
    sP1969: ( nat * nat * nat ) > $o ).

tff(pred_def_333,type,
    sP1970: ( nat * nat * nat ) > $o ).

tff(pred_def_334,type,
    sP1971: ( nat * nat * nat ) > $o ).

tff(pred_def_335,type,
    sP1972: ( fun_nat_o * nat * nat ) > $o ).

tff(pred_def_336,type,
    sP1973: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_337,type,
    sP1974: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_338,type,
    sP1975: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_339,type,
    sP1976: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_340,type,
    sP1977: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_341,type,
    sP1978: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_342,type,
    sP1979: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_343,type,
    sP1980: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_344,type,
    sP1981: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_345,type,
    sP1982: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_346,type,
    sP1983: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_347,type,
    sP1984: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_348,type,
    sP1985: fun_int_o > $o ).

tff(pred_def_349,type,
    sP1986: ( nat * fun_nat_o * nat ) > $o ).

tff(pred_def_350,type,
    sP1987: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_351,type,
    sP1988: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_352,type,
    sP1989: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_353,type,
    sP1990: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_354,type,
    sP1991: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_355,type,
    sP1992: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_356,type,
    sP1993: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_357,type,
    sP1994: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_358,type,
    sP1995: ( int * int * int ) > $o ).

tff(pred_def_359,type,
    sP1996: ( int * int * int ) > $o ).

tff(pred_def_360,type,
    sP1997: ( int * int * int ) > $o ).

tff(pred_def_361,type,
    sP1998: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_362,type,
    sP1999: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_363,type,
    sP2000: ( fun_real_fun_real_o * real * real ) > $o ).

tff(f2,axiom,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,ma),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__C5_Ohyps_C_I8_J) ).

tff(f25,axiom,
    ( aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,x),ma)
    & aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,mi),x) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24__092_060open_062x_A_092_060le_062_Ama_A_092_060and_062_Ami_A_092_060le_062_Ax_092_060close_062) ).

tff(f373,axiom,
    ! [X0: nat,X1: nat,X2: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
     => ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X2)
       => aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_372_order_Ostrict__trans) ).

tff(f524,axiom,
    ! [X0: nat,X1: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
    <=> ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
        | ( X0 = X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_523_nless__le) ).

tff(f3133,axiom,
    one_one_nat = aa_nat_nat(suc,zero_zero_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3132_One__nat__def) ).

tff(f3222,axiom,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3221_numeral__2__eq__2) ).

tff(f10797,conjecture,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10798,negated_conjecture,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    inference(negated_conjecture,[status(cth)],[f10797]) ).

tff(f13511,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    inference(flattening,[],[f10798]) ).

tff(f13594,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X2)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X2)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ),
    inference(ennf_transformation,[],[f373]) ).

tff(f13595,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X2)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X2)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ),
    inference(flattening,[],[f13594]) ).

tff(f15731,plain,
    ! [X0: nat,X1: nat] :
      ( ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
        | ( aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
          & ( X0 != X1 ) ) )
      & ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
        | ( X0 = X1 )
        | aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ) ),
    inference(nnf_transformation,[],[f524]) ).

tff(f15732,plain,
    ! [X0: nat,X1: nat] :
      ( ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
        | ( aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
          & ( X0 != X1 ) ) )
      & ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1)
        | ( X0 = X1 )
        | aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ) ),
    inference(flattening,[],[f15731]) ).

tff(f16693,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    inference(cnf_transformation,[],[f13511]) ).

tff(f16809,plain,
    ! [X2: nat,X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X2)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X1),X2)
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1) ),
    inference(cnf_transformation,[],[f13595]) ).

tff(f16933,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,ma),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))),deg)),
    inference(cnf_transformation,[],[f2]) ).

tff(f16938,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,x),ma),
    inference(cnf_transformation,[],[f25]) ).

tff(f17400,plain,
    one_one_nat = aa_nat_nat(suc,zero_zero_nat),
    inference(cnf_transformation,[],[f3133]) ).

tff(f17438,plain,
    aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one)) = aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat)),
    inference(cnf_transformation,[],[f3222]) ).

tff(f17671,plain,
    ! [X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),X1)
      | ( X0 = X1 )
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,X0),X1) ),
    inference(cnf_transformation,[],[f15732]) ).

tff(f21384,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,ma),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat))),deg)),
    inference(forward_demodulation,[],[f16933,f17438]) ).

tff(f21436,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,aa_nat_nat(suc,zero_zero_nat))),deg)),
    inference(forward_demodulation,[],[f16693,f17438]) ).

tff(f21529,plain,
    aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,ma),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),deg)),
    inference(forward_demodulation,[],[f21384,f17400]) ).

tff(f21564,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),deg)),
    inference(forward_demodulation,[],[f21436,f17400]) ).

tff(f21660,plain,
    ! [X0: nat] :
      ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,X0),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),deg))
      | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),X0) ),
    inference(resolution,[],[f16809,f21564]) ).

tff(f21663,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,x),ma),
    inference(resolution,[],[f21660,f21529]) ).

tff(f21694,definition,
    ( spl2332_18
  <=> ( x = ma ) ),
    introduced(definition,[new_symbols(definition,[spl2332_18])],[avatar_definition]) ).

tff(f21696,plain,
    ( ( x = ma )
    | ~ spl2332_18 ),
    inference(avatar_component_clause,[],[f21694]) ).

tff(f21715,plain,
    ( ( x = ma )
    | ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_eq_nat,x),ma) ),
    inference(resolution,[],[f21663,f17671]) ).

tff(f21723,plain,
    x = ma,
    inference(forward_subsumption_resolution,[],[f21715,f16938]) ).

tff(f21724,plain,
    spl2332_18,
    inference(avatar_split_clause,[],[f21723,f21694]) ).

tff(f21731,plain,
    ( ~ aa_nat_o(aa_nat_fun_nat_o(ord_less_nat,ma),aa_nat_nat(aa_nat_fun_nat_nat(power_power_nat,aa_nat_nat(suc,one_one_nat)),deg))
    | ~ spl2332_18 ),
    inference(superposition,[],[f21564,f21696]) ).

tff(f21738,plain,
    ( $false
    | ~ spl2332_18 ),
    inference(forward_subsumption_resolution,[],[f21731,f21529]) ).

tff(f21739,plain,
    ~ spl2332_18,
    inference(avatar_contradiction_clause,[],[f21738]) ).

cnf(s17,plain,
    spl2332_18,
    inference(sat_conversion,[],[f21724]) ).

cnf(s19,plain,
    ~ spl2332_18,
    inference(sat_conversion,[],[f21739]) ).

cnf(s20,plain,
    $false,
    inference(rat,[],[s17,s19]) ).

tff(f21740,plain,
    $false,
    inference(avatar_sat_refutation,[],[s20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP270_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n011.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Sun Sep 27 12:44:15 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43  Running first-order theorem proving
% 0.11/0.43  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.22/3.60  % (2356907)Detected formulas, will run a generic FOF schedule.
% 14.22/3.60  % (2356912)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2447750641:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 14.22/3.60  % (2356913)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3697059666:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 14.22/3.60  % (2356917)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1911532120:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 14.22/3.60  % (2356914)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4034222629:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 14.22/3.60  % (2356915)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2781192853:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 14.22/3.60  % (2356918)dis-21_1_sil=8000:lcm=predicate:random_seed=1996006624:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 14.22/3.60  % (2356916)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3609125968:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 14.22/3.60  % (2356917)Instruction limit reached! 
% 14.22/3.60  % (2356917)------------------------------
% 14.22/3.60  % (2356917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.60  % (2356917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.60  % (2356917)CaDiCaL version: 2.1.3
% 14.22/3.60  % (2356917)Termination reason: Instruction limit
% 14.22/3.60  % (2356917)Termination phase: Property scanning
% 14.22/3.60  % (2356917)Time elapsed: 0.055 s
% 14.22/3.60  % (2356917)Peak memory usage: 96 MB
% 14.22/3.60  % (2356917)Instructions burned: 139 (million)
% 14.22/3.60  % (2356915)Instruction limit reached! 
% 14.22/3.60  % (2356915)------------------------------
% 14.22/3.60  % (2356915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.60  % (2356915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.60  % (2356915)CaDiCaL version: 2.1.3
% 14.22/3.60  % (2356915)Termination reason: Instruction limit
% 14.22/3.60  % (2356915)Termination phase: Property scanning
% 14.22/3.60  % (2356915)Time elapsed: 0.064 s
% 14.22/3.60  % (2356915)Peak memory usage: 100 MB
% 14.22/3.60  % (2356915)Instructions burned: 110 (million)
% 14.22/3.60  % (2356916)Instruction limit reached! 
% 14.22/3.60  % (2356916)------------------------------
% 14.22/3.60  % (2356916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.60  % (2356916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.60  % (2356916)CaDiCaL version: 2.1.3
% 14.22/3.60  % (2356916)Termination reason: Instruction limit
% 14.22/3.60  % (2356916)Termination phase: Property scanning
% 14.22/3.60  % (2356916)Time elapsed: 0.068 s
% 14.22/3.60  % (2356916)Peak memory usage: 100 MB
% 14.22/3.60  % (2356916)Instructions burned: 120 (million)
% 14.22/3.60  % (2356918)Instruction limit reached! 
% 14.22/3.60  % (2356918)------------------------------
% 14.22/3.60  % (2356918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.22/3.60  % (2356918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.22/3.60  % (2356918)CaDiCaL version: 2.1.3
% 14.22/3.60  % (2356918)Termination reason: Instruction limit
% 14.22/3.60  % (2356918)Termination phase: Property scanning
% 14.22/3.60  % (2356918)Time elapsed: 0.073 s
% 14.22/3.60  % (2356918)Peak memory usage: 100 MB
% 14.22/3.60  % (2356918)Instructions burned: 131 (million)
% 14.22/3.60  % (2356926)lrs+10_1_sil=8000:sp=occurrence:random_seed=4280886632:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 14.22/3.60  % (2356927)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2202940175:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 14.22/3.60  % (2356928)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2568675250:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 14.22/3.60  % (2356929)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4168293968:s2a=on:i=248:s2at=1.23:gtg=position_2990 on theBenchmark for (2990ds/248Mi)
% 21.16/4.51  % (2356927)Instruction limit reached! 
% 21.16/4.51  % (2356927)------------------------------
% 21.16/4.51  % (2356927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356927)CaDiCaL version: 2.1.3
% 21.16/4.51  % (2356927)Termination reason: Instruction limit
% 21.16/4.51  % (2356927)Termination phase: Property scanning
% 21.16/4.51  % (2356927)Time elapsed: 0.062 s
% 21.16/4.51  % (2356927)Peak memory usage: 96 MB
% 21.16/4.51  % (2356927)Instructions burned: 159 (million)
% 21.16/4.51  % (2356929)Instruction limit reached! 
% 21.16/4.51  % (2356929)------------------------------
% 21.16/4.51  % (2356929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356929)CaDiCaL version: 2.1.3
% 21.16/4.51  % (2356929)Termination reason: Instruction limit
% 21.16/4.51  % (2356929)Termination phase: Initialization
% 21.16/4.51  % (2356929)Time elapsed: 0.109 s
% 21.16/4.51  % (2356929)Peak memory usage: 98 MB
% 21.16/4.51  % (2356929)Instructions burned: 249 (million)
% 21.16/4.51  % (2356926)Instruction limit reached! 
% 21.16/4.51  % (2356926)------------------------------
% 21.16/4.51  % (2356926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356926)CaDiCaL version: 2.1.3
% 21.16/4.51  % (2356926)Termination reason: Instruction limit
% 21.16/4.51  % (2356926)Termination phase: Property scanning
% 21.16/4.51  % (2356926)Time elapsed: 0.143 s
% 21.16/4.51  % (2356926)Peak memory usage: 100 MB
% 21.16/4.51  % (2356926)Instructions burned: 287 (million)
% 21.16/4.51  % (2356928)Instruction limit reached! 
% 21.16/4.51  % (2356928)------------------------------
% 21.16/4.51  % (2356928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356928)CaDiCaL version: 2.1.3
% 21.16/4.51  % (2356928)Termination reason: Instruction limit
% 21.16/4.51  % (2356928)Termination phase: Property scanning
% 21.16/4.51  % (2356928)Time elapsed: 0.151 s
% 21.16/4.51  % (2356928)Peak memory usage: 100 MB
% 21.16/4.51  % (2356928)Instructions burned: 326 (million)
% 21.16/4.51  % (2356934)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=265740912:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 21.16/4.51  % (2356935)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=470233883:i=2350_2987 on theBenchmark for (2987ds/2350Mi)
% 21.16/4.51  % (2356936)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2822603174:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 21.16/4.51  % (2356937)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3497521770:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 21.16/4.51  % (2356934)Instruction limit reached! 
% 21.16/4.51  % (2356934)------------------------------
% 21.16/4.51  % (2356934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356934)CaDiCaL version: 2.1.3
% 21.16/4.51  % (2356934)Termination reason: Instruction limit
% 21.16/4.51  % (2356934)Termination phase: Property scanning
% 21.16/4.51  % (2356934)Time elapsed: 0.138 s
% 21.16/4.51  % (2356934)Peak memory usage: 100 MB
% 21.16/4.51  % (2356934)Instructions burned: 296 (million)
% 21.16/4.51  % (2356936)Instruction limit reached! 
% 21.16/4.51  % (2356936)------------------------------
% 21.16/4.51  % (2356936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356936)CaDiCaL version: 2.1.3
% 21.16/4.51  % (2356936)Termination reason: Instruction limit
% 21.16/4.51  % (2356936)Termination phase: Property scanning
% 21.16/4.51  % (2356936)Time elapsed: 0.067 s
% 21.16/4.51  % (2356936)Peak memory usage: 100 MB
% 21.16/4.51  % (2356936)Instructions burned: 114 (million)
% 21.16/4.51  % (2356937)Instruction limit reached! 
% 21.16/4.51  % (2356937)------------------------------
% 21.16/4.51  % (2356937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.16/4.51  % (2356937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.16/4.51  % (2356937)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356937)Termination reason: Instruction limit
% 11.57/4.71  % (2356937)Termination phase: Property scanning
% 11.57/4.71  % (2356937)Time elapsed: 0.074 s
% 11.57/4.71  % (2356937)Peak memory usage: 100 MB
% 11.57/4.71  % (2356937)Instructions burned: 129 (million)
% 11.57/4.71  % (2356943)lrs+10_1_sil=8000:sp=occurrence:random_seed=11793532:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 11.57/4.71  % (2356942)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3896124075:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 11.57/4.71  % (2356942)Instruction limit reached! 
% 11.57/4.71  % (2356942)------------------------------
% 11.57/4.71  % (2356942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356942)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356942)Termination reason: Instruction limit
% 11.57/4.71  % (2356942)Termination phase: Property scanning
% 11.57/4.71  % (2356942)Time elapsed: 0.046 s
% 11.57/4.71  % (2356942)Peak memory usage: 96 MB
% 11.57/4.71  % (2356942)Instructions burned: 116 (million)
% 11.57/4.71  % (2356944)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2456131614:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 11.57/4.71  % (2356947)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3842766341:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 11.57/4.71  % (2356944)Instruction limit reached! 
% 11.57/4.71  % (2356944)------------------------------
% 11.57/4.71  % (2356944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356944)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356944)Termination reason: Instruction limit
% 11.57/4.71  % (2356944)Termination phase: Preprocessing 1
% 11.57/4.71  % (2356944)Time elapsed: 0.224 s
% 11.57/4.71  % (2356944)Peak memory usage: 103 MB
% 11.57/4.71  % (2356944)Instructions burned: 437 (million)
% 11.57/4.71  % (2356943)Instruction limit reached! 
% 11.57/4.71  % (2356943)------------------------------
% 11.57/4.71  % (2356943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356943)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356943)Termination reason: Instruction limit
% 11.57/4.71  % (2356943)Termination phase: Saturation
% 11.57/4.71  % (2356943)Time elapsed: 0.451 s
% 11.57/4.71  % (2356943)Peak memory usage: 109 MB
% 11.57/4.71  % (2356943)Instructions burned: 907 (million)
% 11.57/4.71  % (2356950)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1242885126:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 11.57/4.71  % (2356950)Instruction limit reached! 
% 11.57/4.71  % (2356950)------------------------------
% 11.57/4.71  % (2356950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356950)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356950)Termination reason: Instruction limit
% 11.57/4.71  % (2356950)Termination phase: Preprocessing 1
% 11.57/4.71  % (2356950)Time elapsed: 0.092 s
% 11.57/4.71  % (2356950)Peak memory usage: 97 MB
% 11.57/4.71  % (2356950)Instructions burned: 134 (million)
% 11.57/4.71  % (2356951)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1798674250:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 11.57/4.71  % (2356953)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1907291050:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 11.57/4.71  % (2356951)Instruction limit reached! 
% 11.57/4.71  % (2356951)------------------------------
% 11.57/4.71  % (2356951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356951)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356951)Termination reason: Instruction limit
% 11.57/4.71  % (2356951)Termination phase: Preprocessing 3
% 11.57/4.71  % (2356951)Time elapsed: 0.337 s
% 11.57/4.71  % (2356951)Peak memory usage: 106 MB
% 11.57/4.71  % (2356951)Instructions burned: 592 (million)
% 11.57/4.71  % (2356935)Instruction limit reached! 
% 11.57/4.71  % (2356935)------------------------------
% 11.57/4.71  % (2356935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356935)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356935)Termination reason: Instruction limit
% 11.57/4.71  % (2356935)Termination phase: Saturation
% 11.57/4.71  % (2356935)Time elapsed: 1.323 s
% 11.57/4.71  % (2356935)Peak memory usage: 188 MB
% 11.57/4.71  % (2356935)Instructions burned: 2350 (million)
% 11.57/4.71  % (2356956)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1073746040:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 11.57/4.71  % (2356956)Instruction limit reached! 
% 11.57/4.71  % (2356956)------------------------------
% 11.57/4.71  % (2356956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356956)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356956)Termination reason: Instruction limit
% 11.57/4.71  % (2356956)Termination phase: Property scanning
% 11.57/4.71  % (2356956)Time elapsed: 0.051 s
% 11.57/4.71  % (2356956)Peak memory usage: 96 MB
% 11.57/4.71  % (2356956)Instructions burned: 128 (million)
% 11.57/4.71  % (2356957)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=340261430:i=134:gtgl=5:slsql=off:gtg=exists_sym_2972 on theBenchmark for (2972ds/134Mi)
% 11.57/4.71  % (2356957)Instruction limit reached! 
% 11.57/4.71  % (2356957)------------------------------
% 11.57/4.71  % (2356957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356957)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356957)Termination reason: Instruction limit
% 11.57/4.71  % (2356957)Termination phase: Property scanning
% 11.57/4.71  % (2356957)Time elapsed: 0.055 s
% 11.57/4.71  % (2356957)Peak memory usage: 96 MB
% 11.57/4.71  % (2356957)Instructions burned: 135 (million)
% 11.57/4.71  % (2356959)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2247758061:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 11.57/4.71  % (2356959)Refutation not found, incomplete strategy
% 11.57/4.71  % (2356959)------------------------------
% 11.57/4.71  % (2356959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356959)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356959)Termination reason: Refutation not found, incomplete strategy
% 11.57/4.71  % (2356959)Time elapsed: 0.074 s
% 11.57/4.71  % (2356959)Peak memory usage: 100 MB
% 11.57/4.71  % (2356959)Instructions burned: 114 (million)
% 11.57/4.71  % (2356961)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3133727242:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 11.57/4.71  % (2356959)------------------------------
% 11.57/4.71  % (2356959)------------------------------
% 11.57/4.71  % (2356961)Instruction limit reached! 
% 11.57/4.71  % (2356961)------------------------------
% 11.57/4.71  % (2356961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356961)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356961)Termination reason: Instruction limit
% 11.57/4.71  % (2356961)Termination phase: Saturation
% 11.57/4.71  % (2356961)Time elapsed: 0.230 s
% 11.57/4.71  % (2356961)Peak memory usage: 104 MB
% 11.57/4.71  % (2356961)Instructions burned: 432 (million)
% 11.57/4.71  % (2356947)First to succeed.
% 11.57/4.71  % (2356947)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2356907"
% 11.57/4.71  % (2356964)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=317503018:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 11.57/4.71  % (2356965)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2691604327:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 11.57/4.71  % (2356965)Instruction limit reached! 
% 11.57/4.71  % (2356965)------------------------------
% 11.57/4.71  % (2356965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.57/4.71  % (2356965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.57/4.71  % (2356965)CaDiCaL version: 2.1.3
% 11.57/4.71  % (2356965)Termination reason: Instruction limit
% 11.57/4.71  % (2356965)Termination phase: Property scanning
% 11.57/4.71  % (2356965)Time elapsed: 0.083 s
% 11.57/4.71  % (2356965)Peak memory usage: 100 MB
% 11.57/4.71  % (2356965)Instructions burned: 151 (million)
% 11.57/4.71  % (2356947)Refutation found. Thanks to Tanya!
% 11.57/4.71  % SZS status Theorem for theBenchmark
% 11.57/4.71  % SZS output start Proof for theBenchmark
% See solution above
% 23.23/4.91  % (2356947)------------------------------
% 23.23/4.91  % (2356947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.23/4.91  % (2356947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.23/4.91  % (2356947)CaDiCaL version: 2.1.3
% 23.23/4.91  % (2356947)Termination reason: Refutation
% 23.23/4.91  % (2356947)Time elapsed: 1.650 s
% 23.23/4.91  % (2356947)Peak memory usage: 192 MB
% 23.23/4.91  % (2356947)Instructions burned: 2772 (million)
% 23.23/4.91  % (2356947)------------------------------
% 23.23/4.91  % (2356947)------------------------------
% 23.23/4.91  % (2356907)Success in time 3.84 s
% 23.23/4.91  % Vampire exiting
%------------------------------------------------------------------------------