Vampire---5.0.1.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ITP243_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 : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:31:33 AM UTC 2026

% Result   : Theorem 36.61s 9.50s
% Output   : Refutation 55.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   31 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  11   ~;   6   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :  382 ( 381 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :  849 ( 847 usr;   1 prp; 0-5 aty)
%            Number of functors    : 3115 (3115 usr; 553 con; 0-8 aty)
%            Number of variables   :   12 (  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    produc1260151622200656695at_nat: $tType ).

tff(type_def_6,type,
    produc3739950874144486240at_nat: $tType ).

tff(type_def_7,type,
    fun_fu6946331795031837123at_nat: $tType ).

tff(type_def_8,type,
    fun_se2369204539228100110_nat_o: $tType ).

tff(type_def_9,type,
    fun_fu2988548197490738277_nat_o: $tType ).

tff(type_def_10,type,
    fun_fu3373238862511017284_nat_o: $tType ).

tff(type_def_11,type,
    fun_fu5323616038969315652_int_o: $tType ).

tff(type_def_12,type,
    fun_fu4800041728187187127nteger: $tType ).

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

tff(type_def_14,type,
    fun_li6914387844523535256_nat_o: $tType ).

tff(type_def_15,type,
    fun_fu1950632212952468284_rat_o: $tType ).

tff(type_def_16,type,
    produc2703417854250991842on_num: $tType ).

tff(type_def_17,type,
    produc7004362771917097900on_nat: $tType ).

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

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

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

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

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

tff(type_def_23,type,
    produc6121120109295599847at_nat: $tType ).

tff(type_def_24,type,
    fun_op1221328669798608686_nat_o: $tType ).

tff(type_def_25,type,
    produc50614890452615238on_num: $tType ).

tff(type_def_26,type,
    produc1615844007061411358on_nat: $tType ).

tff(type_def_27,type,
    fun_Pr3802883763772590888omplex: $tType ).

tff(type_def_28,type,
    fun_Pr8877776288780692068_nat_o: $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_Pr4526765928551516326t_real: $tType ).

tff(type_def_32,type,
    fun_Co2470855966376689427nteger: $tType ).

tff(type_def_33,type,
    fun_fu3612569900928539882l_real: $tType ).

tff(type_def_34,type,
    fun_Pr2871540613828922186at_nat: $tType ).

tff(type_def_35,type,
    fun_fu8084223252616112272omplex: $tType ).

tff(type_def_36,type,
    fun_fu2142003765521078979plex_o: $tType ).

tff(type_def_37,type,
    list_P8469869581646625389at_nat: $tType ).

tff(type_def_38,type,
    set_Pr8693737435421807431at_nat: $tType ).

tff(type_def_39,type,
    fun_Pr363642936170290612_nat_o: $tType ).

tff(type_def_40,type,
    fun_fu6910828598506988974real_o: $tType ).

tff(type_def_41,type,
    fun_fu7523448966510524487plex_o: $tType ).

tff(type_def_42,type,
    fun_fu8998703528969179354omplex: $tType ).

tff(type_def_43,type,
    fun_na8713714802964096592at_nat: $tType ).

tff(type_def_44,type,
    fun_fu9068519094125542729real_o: $tType ).

tff(type_def_45,type,
    fun_Co3544761417380347684eger_o: $tType ).

tff(type_def_46,type,
    produc859450856879609959at_nat: $tType ).

tff(type_def_47,type,
    fun_VE2573032740582156747_nat_o: $tType ).

tff(type_def_48,type,
    fun_fu6433034133342731997_nat_o: $tType ).

tff(type_def_49,type,
    fun_fu3930813892005118153_int_o: $tType ).

tff(type_def_50,type,
    fun_op7653269905477231939_num_o: $tType ).

tff(type_def_51,type,
    fun_op7326680082016885773_nat_o: $tType ).

tff(type_def_52,type,
    fun_op5373868528577402299_nat_o: $tType ).

tff(type_def_53,type,
    fun_op3832135881594366065_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_fu6579618355643354601at_rat: $tType ).

tff(type_def_60,type,
    fun_fu1400560744564786701nteger: $tType ).

tff(type_def_61,type,
    fun_fu5587483295140630005real_o: $tType ).

tff(type_def_62,type,
    fun_fu3306995184869731826t_real: $tType ).

tff(type_def_63,type,
    fun_se2100927751953696370t_real: $tType ).

tff(type_def_64,type,
    fun_fu6813129056075673441_nat_o: $tType ).

tff(type_def_65,type,
    fun_fu4228744305898656589_int_o: $tType ).

tff(type_def_66,type,
    fun_na4143055713577223196at_nat: $tType ).

tff(type_def_67,type,
    fun_in2204242111582549184nt_int: $tType ).

tff(type_def_68,type,
    fun_Co6597186368970283863nteger: $tType ).

tff(type_def_69,type,
    fun_op7210469962420818650on_nat: $tType ).

tff(type_def_70,type,
    fun_fu9090758901314268781nt_o_o: $tType ).

tff(type_def_71,type,
    fun_fu2454420574033104442at_nat: $tType ).

tff(type_def_72,type,
    fun_fu3739269683040691718nt_int: $tType ).

tff(type_def_73,type,
    fun_fu1806770557662746761_nat_o: $tType ).

tff(type_def_74,type,
    fun_Pr2118491707810114563at_nat: $tType ).

tff(type_def_75,type,
    fun_Pr2478283820680522243nt_int: $tType ).

tff(type_def_76,type,
    fun_fu8643405727515436425nteger: $tType ).

tff(type_def_77,type,
    fun_re3844104906058862192omplex: $tType ).

tff(type_def_78,type,
    fun_na5914473681949881652_nat_o: $tType ).

tff(type_def_79,type,
    fun_fu2499394402704830801nteger: $tType ).

tff(type_def_80,type,
    fun_fu3628599891403802633nteger: $tType ).

tff(type_def_81,type,
    fun_fu5956788528830221615omplex: $tType ).

tff(type_def_82,type,
    fun_fu5589980185390252312t_real: $tType ).

tff(type_def_83,type,
    fun_fu163975356400620604t_real: $tType ).

tff(type_def_84,type,
    set_fi4554929511873752355omplex: $tType ).

tff(type_def_85,type,
    fun_fu4413992040155564420at_nat: $tType ).

tff(type_def_86,type,
    fun_fu923337204662071120nt_int: $tType ).

tff(type_def_87,type,
    fun_Co1981900195452921617nteger: $tType ).

tff(type_def_88,type,
    fun_fu7981297689148232565al_o_o: $tType ).

tff(type_def_89,type,
    fun_re5512370375968561900l_real: $tType ).

tff(type_def_90,type,
    list_P7413028617227757229T_VEBT: $tType ).

tff(type_def_91,type,
    fun_fu8384527901749275179omplex: $tType ).

tff(type_def_92,type,
    fun_fu7714627026455246123x_real: $tType ).

tff(type_def_93,type,
    fun_se1865396762483378772_nat_o: $tType ).

tff(type_def_94,type,
    fun_na4138050610385705875at_nat: $tType ).

tff(type_def_95,type,
    fun_in1696471567231710611nt_int: $tType ).

tff(type_def_96,type,
    fun_fu1994797156054922755_nat_o: $tType ).

tff(type_def_97,type,
    fun_Co1766037875893669450eger_o: $tType ).

tff(type_def_98,type,
    fun_fu40286998686754419omplex: $tType ).

tff(type_def_99,type,
    fun_fu3613808716698379563omplex: $tType ).

tff(type_def_100,type,
    fun_fu705315015666092147ex_nat: $tType ).

tff(type_def_101,type,
    fun_se7512233253626865466omplex: $tType ).

tff(type_def_102,type,
    fun_na6632006986671646835omplex: $tType ).

tff(type_def_103,type,
    fun_co6883864892131739507omplex: $tType ).

tff(type_def_104,type,
    fun_fu4846507671440591850_rat_o: $tType ).

tff(type_def_105,type,
    fun_fu5908277796454533188_int_o: $tType ).

tff(type_def_106,type,
    fun_fu6714665071556184448_rat_o: $tType ).

tff(type_def_107,type,
    fun_fu9201817095025044880_nat_o: $tType ).

tff(type_def_108,type,
    fun_fu4208408993564413984_int_o: $tType ).

tff(type_def_109,type,
    fun_fu2445682883699234307plex_o: $tType ).

tff(type_def_110,type,
    fun_fu3719809307426920623omplex: $tType ).

tff(type_def_111,type,
    fun_na927404270896789692_nat_o: $tType ).

tff(type_def_112,type,
    fun_Ex8341929632020906428d_enat: $tType ).

tff(type_def_113,type,
    produc3447558737645232053on_num: $tType ).

tff(type_def_114,type,
    produc4953844613479565601on_nat: $tType ).

tff(type_def_115,type,
    set_fi7789364187291644575l_real: $tType ).

tff(type_def_116,type,
    fun_op493924057549976310_num_o: $tType ).

tff(type_def_117,type,
    fun_op167334234089630144_nat_o: $tType ).

tff(type_def_118,type,
    fun_op6120599277751319488_num_o: $tType ).

tff(type_def_119,type,
    fun_op5794009454290973322_nat_o: $tType ).

tff(type_def_120,type,
    fun_fu7631928937237476593t_real: $tType ).

tff(type_def_121,type,
    fun_Pr4738963024209204295_int_o: $tType ).

tff(type_def_122,type,
    fun_Pr7537129237977221859_rat_o: $tType ).

tff(type_def_123,type,
    fun_na3970208099681795815_nat_o: $tType ).

tff(type_def_124,type,
    fun_fu806425790188207109plex_o: $tType ).

tff(type_def_125,type,
    fun_fu3043978019632300333x_real: $tType ).

tff(type_def_126,type,
    filter6041513312241820739omplex: $tType ).

tff(type_def_127,type,
    fun_fu3077872570260440615l_real: $tType ).

tff(type_def_128,type,
    fun_fu4781654129426620053omplex: $tType ).

tff(type_def_129,type,
    fun_op8028897214545316308_nat_o: $tType ).

tff(type_def_130,type,
    fun_Co8521658056209057742er_num: $tType ).

tff(type_def_131,type,
    fun_Co3583066429914935172er_nat: $tType ).

tff(type_def_132,type,
    fun_Co1092983284983208416er_int: $tType ).

tff(type_def_133,type,
    fun_re8542384036533109323t_real: $tType ).

tff(type_def_134,type,
    fun_re4112884445705685835l_real: $tType ).

tff(type_def_135,type,
    list_P7037539587688870467BT_nat: $tType ).

tff(type_def_136,type,
    list_P4547456442757143711BT_int: $tType ).

tff(type_def_137,type,
    list_P5647936690300460905T_VEBT: $tType ).

tff(type_def_138,type,
    produc8243902056947475879T_VEBT: $tType ).

tff(type_def_139,type,
    fun_fu2598743018846156927al_rat: $tType ).

tff(type_def_140,type,
    fun_fu3214020956574444655al_nat: $tType ).

tff(type_def_141,type,
    fun_fu6899955116716589935t_real: $tType ).

tff(type_def_142,type,
    fun_fu121957152452960295t_real: $tType ).

tff(type_def_143,type,
    fun_re4756235295228751087t_real: $tType ).

tff(type_def_144,type,
    fun_na5225841814499866095t_real: $tType ).

tff(type_def_145,type,
    fun_fu7444430165986413063real_o: $tType ).

tff(type_def_146,type,
    fun_fu3532930458344041007omplex: $tType ).

tff(type_def_147,type,
    set_Pr5085853215250843933omplex: $tType ).

tff(type_def_148,type,
    produc8923325533196201883nteger: $tType ).

tff(type_def_149,type,
    fun_fu3106432010075488275t_real: $tType ).

tff(type_def_150,type,
    fun_fu6119738925743952495t_real: $tType ).

tff(type_def_151,type,
    fun_Pr7716844367077540446plex_o: $tType ).

tff(type_def_152,type,
    fun_na7718645245721260691t_real: $tType ).

tff(type_def_153,type,
    fun_na5873943405026509934VEBT_o: $tType ).

tff(type_def_154,type,
    fun_VE2962686792283380846VEBT_o: $tType ).

tff(type_def_155,type,
    fun_fu8328862064278946247at_rat: $tType ).

tff(type_def_156,type,
    fun_fu7002938529518989751at_nat: $tType ).

tff(type_def_157,type,
    fun_fu4512855384587262995at_int: $tType ).

tff(type_def_158,type,
    fun_fu8464300013002972271at_int: $tType ).

tff(type_def_159,type,
    fun_fu1008360527747082367nt_rat: $tType ).

tff(type_def_160,type,
    fun_fu8905809029841901679nt_nat: $tType ).

tff(type_def_161,type,
    fun_fu6415725884910174923nt_int: $tType ).

tff(type_def_162,type,
    fun_fu1143798476471108391nt_int: $tType ).

tff(type_def_163,type,
    fun_ra5513060666784058567at_rat: $tType ).

tff(type_def_164,type,
    fun_na1148497095348402375at_rat: $tType ).

tff(type_def_165,type,
    fun_na3244735409550470327at_nat: $tType ).

tff(type_def_166,type,
    fun_na7654559027617327379at_int: $tType ).

tff(type_def_167,type,
    fun_na2382631619178260847at_int: $tType ).

tff(type_def_168,type,
    fun_in6793278964266839919at_int: $tType ).

tff(type_def_169,type,
    fun_co7673397065115134084omplex: $tType ).

tff(type_def_170,type,
    fun_fu6176141739774794687_nat_o: $tType ).

tff(type_def_171,type,
    fun_fu4302481349826706223omplex: $tType ).

tff(type_def_172,type,
    fun_fu7994259084669964039_int_o: $tType ).

tff(type_def_173,type,
    fun_fu3558165918884697647omplex: $tType ).

tff(type_def_174,type,
    fun_se9162176452187397432plex_o: $tType ).

tff(type_def_175,type,
    fun_Co2081214437782444048eger_o: $tType ).

tff(type_def_176,type,
    fun_fu1358370060594899587plex_o: $tType ).

tff(type_def_177,type,
    fun_nu1049378303802735384on_num: $tType ).

tff(type_def_178,type,
    fun_na7595719129879163854on_num: $tType ).

tff(type_def_179,type,
    fun_fu3022329567491847689real_o: $tType ).

tff(type_def_180,type,
    fun_fu4478067837645853357l_real: $tType ).

tff(type_def_181,type,
    fun_fu7564235448449272366at_o_o: $tType ).

tff(type_def_182,type,
    fun_fu6971708032831053102nt_o_o: $tType ).

tff(type_def_183,type,
    list_P3126845725202233233VEBT_o: $tType ).

tff(type_def_184,type,
    list_P7495141550334521929T_VEBT: $tType ).

tff(type_def_185,type,
    filter2146258269922977983l_real: $tType ).

tff(type_def_186,type,
    fun_op1272087013972230845on_nat: $tType ).

tff(type_def_187,type,
    fun_fu6510078244439976541real_o: $tType ).

tff(type_def_188,type,
    fun_fu5551332503302594393al_rat: $tType ).

tff(type_def_189,type,
    fun_Pr2602117396471556196at_nat: $tType ).

tff(type_def_190,type,
    fun_na1476630412504255114at_nat: $tType ).

tff(type_def_191,type,
    fun_in4211310926729683942nt_int: $tType ).

tff(type_def_192,type,
    fun_se1654316830156123260t_real: $tType ).

tff(type_def_193,type,
    fun_fu6621322437453427393_nat_o: $tType ).

tff(type_def_194,type,
    fun_fu1771228864347509049real_o: $tType ).

tff(type_def_195,type,
    fun_fu4002475321494201261t_real: $tType ).

tff(type_def_196,type,
    fun_fu4185471554550717449_int_o: $tType ).

tff(type_def_197,type,
    fun_fu7030473000426307245t_real: $tType ).

tff(type_def_198,type,
    fun_na2418085665696872764plex_o: $tType ).

tff(type_def_199,type,
    option4927543243414619207at_nat: $tType ).

tff(type_def_200,type,
    fun_se1179353343636554400at_nat: $tType ).

tff(type_def_201,type,
    fun_se4827636401813558708nt_int: $tType ).

tff(type_def_202,type,
    fun_na1591161823130732966omplex: $tType ).

tff(type_def_203,type,
    fun_co3258106519541737638omplex: $tType ).

tff(type_def_204,type,
    fun_fu7145897819039579925_nat_o: $tType ).

tff(type_def_205,type,
    fun_fu3162257917499486297at_rat: $tType ).

tff(type_def_206,type,
    fun_na7928631014926962227_nat_o: $tType ).

tff(type_def_207,type,
    fun_in5570076352459579423_int_o: $tType ).

tff(type_def_208,type,
    set_Pr6218003697084177305l_real: $tType ).

tff(type_def_209,type,
    fun_Pr4814023175418636514real_o: $tType ).

tff(type_def_210,type,
    list_P3744719386663036955um_num: $tType ).

tff(type_def_211,type,
    list_P1726324292696863441at_num: $tType ).

tff(type_def_212,type,
    produc9072475918466114483BT_nat: $tType ).

tff(type_def_213,type,
    produc4894624898956917775BT_int: $tType ).

tff(type_def_214,type,
    fun_se2161501677553633980real_o: $tType ).

tff(type_def_215,type,
    set_Pr958786334691620121nt_int: $tType ).

tff(type_def_216,type,
    fun_fu9050450510664235267real_o: $tType ).

tff(type_def_217,type,
    fun_Pr4796943543331071514_nat_o: $tType ).

tff(type_def_218,type,
    fun_Pr3238374608701176162_int_o: $tType ).

tff(type_def_219,type,
    fun_co8378349014452122532t_real: $tType ).

tff(type_def_220,type,
    fun_na7234455742697417626_nat_o: $tType ).

tff(type_def_221,type,
    fun_na7306406234920378942_int_o: $tType ).

tff(type_def_222,type,
    fun_na6887940067898170868VEBT_o: $tType ).

tff(type_def_223,type,
    fun_na1142814060743658952omplex: $tType ).

tff(type_def_224,type,
    fun_Co8499238673658658103nteger: $tType ).

tff(type_def_225,type,
    fun_se382663106265794036_nat_o: $tType ).

tff(type_def_226,type,
    fun_se867122708194164540_int_o: $tType ).

tff(type_def_227,type,
    fun_co1148497455491383662plex_o: $tType ).

tff(type_def_228,type,
    fun_fu4001317426178549763_nat_o: $tType ).

tff(type_def_229,type,
    fun_fu3883539188510166275_int_o: $tType ).

tff(type_def_230,type,
    fun_re7681423839302404990l_real: $tType ).

tff(type_def_231,type,
    fun_re4238438383274954274t_real: $tType ).

tff(type_def_232,type,
    fun_na6724076748692969250l_real: $tType ).

tff(type_def_233,type,
    list_P7333126701944960589_nat_o: $tType ).

tff(type_def_234,type,
    list_P6285523579766656935_o_nat: $tType ).

tff(type_def_235,type,
    list_P3795440434834930179_o_int: $tType ).

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

tff(type_def_237,type,
    produc334124729049499915VEBT_o: $tType ).

tff(type_def_238,type,
    produc2504756804600209347T_VEBT: $tType ).

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

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

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

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

tff(type_def_243,type,
    fun_Ex5852502975177633731d_enat: $tType ).

tff(type_def_244,type,
    produc6271795597528267376eger_o: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(type_def_257,type,
    fun_co8153928105989009288nteger: $tType ).

tff(type_def_258,type,
    fun_na1554462459066888140plex_o: $tType ).

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

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

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

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

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

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

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

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

tff(type_def_267,type,
    list_P4002435161011370285od_o_o: $tType ).

tff(type_def_268,type,
    fun_re6978948838062957830nteger: $tType ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(func_def_0,type,
    aTP_Lamm_a: set_Pr8693737435421807431at_nat > fun_Pr363642936170290612_nat_o ).

tff(func_def_1,type,
    aTP_Lamm_aa: set_complex > fun_complex_o ).

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

tff(func_def_3,type,
    aTP_Lamm_ac: set_list_nat > fun_list_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: int > fun_int_fun_int_o ).

tff(func_def_7,type,
    aTP_Lamm_ag: int > fun_int_fun_int_o ).

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

tff(func_def_9,type,
    aTP_Lamm_ai: set_complex > fun_set_complex_o ).

tff(func_def_10,type,
    aTP_Lamm_aj: set_int > fun_set_int_o ).

tff(func_def_11,type,
    aTP_Lamm_ak: int > fun_int_fun_int_o ).

tff(func_def_12,type,
    aTP_Lamm_al: int > fun_int_fun_int_o ).

tff(func_def_13,type,
    aTP_Lamm_am: fun_nat_fun_nat_o ).

tff(func_def_14,type,
    aTP_Lamm_an: fun_nat_fun_nat_o ).

tff(func_def_15,type,
    aTP_Lamm_ao: set_Pr8693737435421807431at_nat > fun_se2369204539228100110_nat_o ).

tff(func_def_16,type,
    aTP_Lamm_ap: set_complex > fun_se9162176452187397432plex_o ).

tff(func_def_17,type,
    aTP_Lamm_aq: set_real > fun_se2161501677553633980real_o ).

tff(func_def_18,type,
    aTP_Lamm_ar: set_list_nat > fun_se1865396762483378772_nat_o ).

tff(func_def_19,type,
    aTP_Lamm_as: set_int > fun_se867122708194164540_int_o ).

tff(func_def_20,type,
    aTP_Lamm_at: set_nat > fun_se382663106265794036_nat_o ).

tff(func_def_21,type,
    aTP_Lamm_au: set_Pr8693737435421807431at_nat > fun_fu2988548197490738277_nat_o ).

tff(func_def_22,type,
    aTP_Lamm_av: set_complex > fun_fu1358370060594899587plex_o ).

tff(func_def_23,type,
    aTP_Lamm_aw: set_real > fun_fu9050450510664235267real_o ).

tff(func_def_24,type,
    aTP_Lamm_ax: set_list_nat > fun_fu1994797156054922755_nat_o ).

tff(func_def_25,type,
    aTP_Lamm_ay: set_nat > fun_fu4001317426178549763_nat_o ).

tff(func_def_26,type,
    aTP_Lamm_az: set_int > fun_fu3883539188510166275_int_o ).

tff(func_def_27,type,
    aTP_Lamm_ba: fun_re7681423839302404990l_real ).

tff(func_def_28,type,
    aTP_Lamm_bb: rat > fun_rat_rat ).

tff(func_def_29,type,
    aTP_Lamm_bc: fun_nat_fun_nat_nat ).

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

tff(func_def_31,type,
    aTP_Lamm_be: fun_complex_complex ).

tff(func_def_32,type,
    aTP_Lamm_bf: fun_real_real ).

tff(func_def_33,type,
    aTP_Lamm_bg: fun_rat_rat ).

tff(func_def_34,type,
    aTP_Lamm_bh: fun_nat_nat ).

tff(func_def_35,type,
    aTP_Lamm_bi: fun_int_int ).

tff(func_def_36,type,
    aTP_Lamm_bj: fun_complex_complex ).

tff(func_def_37,type,
    aTP_Lamm_bk: fun_real_real ).

tff(func_def_38,type,
    aTP_Lamm_bl: fun_rat_rat ).

tff(func_def_39,type,
    aTP_Lamm_bm: fun_nat_nat ).

tff(func_def_40,type,
    aTP_Lamm_bn: fun_int_int ).

tff(func_def_41,type,
    aTP_Lamm_bo: fun_nat_o > fun_nat_fun_nat_o ).

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

tff(func_def_43,type,
    aTP_Lamm_bq: nat > fun_co1148497455491383662plex_o ).

tff(func_def_44,type,
    aTP_Lamm_br: list_complex > fun_complex_o ).

tff(func_def_45,type,
    aTP_Lamm_bs: list_real > fun_real_o ).

tff(func_def_46,type,
    aTP_Lamm_bt: list_list_nat > fun_list_nat_o ).

tff(func_def_47,type,
    aTP_Lamm_bu: list_VEBT_VEBT > fun_VEBT_VEBT_o ).

tff(func_def_48,type,
    aTP_Lamm_bv: list_o > fun_o_o ).

tff(func_def_49,type,
    aTP_Lamm_bw: list_nat > fun_nat_o ).

tff(func_def_50,type,
    aTP_Lamm_bx: list_int > fun_int_o ).

tff(func_def_51,type,
    aTP_Lamm_by: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_52,type,
    aTP_Lamm_bz: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_53,type,
    aTP_Lamm_ca: set_o > fun_nat_fun_list_o_o ).

tff(func_def_54,type,
    aTP_Lamm_cb: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_55,type,
    aTP_Lamm_cc: set_int > fun_na7306406234920378942_int_o ).

tff(func_def_56,type,
    aTP_Lamm_cd: set_complex > fun_na2418085665696872764plex_o ).

tff(func_def_57,type,
    aTP_Lamm_ce: set_VEBT_VEBT > fun_na5873943405026509934VEBT_o ).

tff(func_def_58,type,
    aTP_Lamm_cf: set_o > fun_nat_fun_list_o_o ).

tff(func_def_59,type,
    aTP_Lamm_cg: set_nat > fun_na7234455742697417626_nat_o ).

tff(func_def_60,type,
    aTP_Lamm_ch: set_int > fun_na7306406234920378942_int_o ).

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

tff(func_def_62,type,
    aTP_Lamm_cj: nat > fun_complex_o ).

tff(func_def_63,type,
    aTP_Lamm_ck: set_real > fun_fu7444430165986413063real_o ).

tff(func_def_64,type,
    aTP_Lamm_cl: set_real > fun_fu9068519094125542729real_o ).

tff(func_def_65,type,
    aTP_Lamm_cm: set_nat > fun_fu6176141739774794687_nat_o ).

tff(func_def_66,type,
    aTP_Lamm_cn: set_nat > fun_fu6433034133342731997_nat_o ).

tff(func_def_67,type,
    aTP_Lamm_co: set_int > fun_fu7994259084669964039_int_o ).

tff(func_def_68,type,
    aTP_Lamm_cp: set_int > fun_fu3930813892005118153_int_o ).

tff(func_def_69,type,
    aTP_Lamm_cq: set_complex > fun_fu2445682883699234307plex_o ).

tff(func_def_70,type,
    aTP_Lamm_cr: set_complex > fun_fu2142003765521078979plex_o ).

tff(func_def_71,type,
    aTP_Lamm_cs: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_72,type,
    aTP_Lamm_ct: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_73,type,
    aTP_Lamm_cu: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_74,type,
    aTP_Lamm_cv: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_75,type,
    aTP_Lamm_cw: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_76,type,
    aTP_Lamm_cx: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_77,type,
    aTP_Lamm_cy: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_78,type,
    aTP_Lamm_cz: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_79,type,
    aTP_Lamm_da: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_80,type,
    aTP_Lamm_db: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_81,type,
    aTP_Lamm_dc: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_82,type,
    aTP_Lamm_dd: set_nat > fun_fu1806770557662746761_nat_o ).

tff(func_def_83,type,
    aTP_Lamm_de: set_real > fun_fu7444430165986413063real_o ).

tff(func_def_84,type,
    aTP_Lamm_df: set_real > fun_fu9068519094125542729real_o ).

tff(func_def_85,type,
    aTP_Lamm_dg: set_nat > fun_fu6176141739774794687_nat_o ).

tff(func_def_86,type,
    aTP_Lamm_dh: set_nat > fun_fu6433034133342731997_nat_o ).

tff(func_def_87,type,
    aTP_Lamm_di: set_int > fun_fu7994259084669964039_int_o ).

tff(func_def_88,type,
    aTP_Lamm_dj: set_int > fun_fu3930813892005118153_int_o ).

tff(func_def_89,type,
    aTP_Lamm_dk: set_complex > fun_fu2445682883699234307plex_o ).

tff(func_def_90,type,
    aTP_Lamm_dl: set_complex > fun_fu2142003765521078979plex_o ).

tff(func_def_91,type,
    aTP_Lamm_dm: set_real > fun_fu3022329567491847689real_o ).

tff(func_def_92,type,
    aTP_Lamm_dn: set_real > fun_fu5533088652784741581real_o ).

tff(func_def_93,type,
    aTP_Lamm_do: set_nat > fun_fu6621322437453427393_nat_o ).

tff(func_def_94,type,
    aTP_Lamm_dp: set_nat > fun_fu6813129056075673441_nat_o ).

tff(func_def_95,type,
    aTP_Lamm_dq: set_int > fun_fu4185471554550717449_int_o ).

tff(func_def_96,type,
    aTP_Lamm_dr: set_int > fun_fu4228744305898656589_int_o ).

tff(func_def_97,type,
    aTP_Lamm_ds: set_complex > fun_fu806425790188207109plex_o ).

tff(func_def_98,type,
    aTP_Lamm_dt: set_complex > fun_fu7523448966510524487plex_o ).

tff(func_def_99,type,
    aTP_Lamm_du: set_real > fun_fu6510078244439976541real_o ).

tff(func_def_100,type,
    aTP_Lamm_dv: set_real > fun_fu5587483295140630005real_o ).

tff(func_def_101,type,
    aTP_Lamm_dw: set_nat > fun_fu7145897819039579925_nat_o ).

tff(func_def_102,type,
    aTP_Lamm_dx: set_nat > fun_fu1806770557662746761_nat_o ).

tff(func_def_103,type,
    aTP_Lamm_dy: fun_co1148497455491383662plex_o ).

tff(func_def_104,type,
    aTP_Lamm_dz: fun_real_fun_real_o ).

tff(func_def_105,type,
    aTP_Lamm_ea: fun_nat_fun_nat_o ).

tff(func_def_106,type,
    aTP_Lamm_eb: fun_Co2081214437782444048eger_o ).

tff(func_def_107,type,
    aTP_Lamm_ec: fun_int_fun_int_o ).

tff(func_def_108,type,
    aTP_Lamm_ed: fun_nat_fun_nat_o ).

tff(func_def_109,type,
    aTP_Lamm_ee: num > fun_na4138050610385705875at_nat ).

tff(func_def_110,type,
    aTP_Lamm_ef: num > fun_in1696471567231710611nt_int ).

tff(func_def_111,type,
    aTP_Lamm_eg: num > fun_Co2470855966376689427nteger ).

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

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

tff(func_def_114,type,
    aTP_Lamm_ej: fun_int_int > fun_fu923337204662071120nt_int ).

tff(func_def_115,type,
    aTP_Lamm_ek: fun_int_int > fun_fu3739269683040691718nt_int ).

tff(func_def_116,type,
    aTP_Lamm_el: fun_complex_complex > fun_fu8998703528969179354omplex ).

tff(func_def_117,type,
    aTP_Lamm_em: fun_complex_complex > fun_fu8084223252616112272omplex ).

tff(func_def_118,type,
    aTP_Lamm_en: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_119,type,
    aTP_Lamm_eo: fun_nat_nat > fun_fu2454420574033104442at_nat ).

tff(func_def_120,type,
    aTP_Lamm_ep: fun_nat_real > fun_fu163975356400620604t_real ).

tff(func_def_121,type,
    aTP_Lamm_eq: fun_nat_real > fun_fu3306995184869731826t_real ).

tff(func_def_122,type,
    aTP_Lamm_er: fun_int_int > fun_int_fun_int_int ).

tff(func_def_123,type,
    aTP_Lamm_es: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_124,type,
    aTP_Lamm_et: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_125,type,
    aTP_Lamm_eu: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_126,type,
    aTP_Lamm_ev: int > fun_fu1143798476471108391nt_int ).

tff(func_def_127,type,
    aTP_Lamm_ew: complex > fun_fu5956788528830221615omplex ).

tff(func_def_128,type,
    aTP_Lamm_ex: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_129,type,
    aTP_Lamm_ey: real > fun_fu6899955116716589935t_real ).

tff(func_def_130,type,
    aTP_Lamm_ez: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_131,type,
    aTP_Lamm_fa: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_132,type,
    aTP_Lamm_fb: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_133,type,
    aTP_Lamm_fc: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_134,type,
    aTP_Lamm_fd: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_135,type,
    aTP_Lamm_fe: fun_complex_complex > fun_fu5956788528830221615omplex ).

tff(func_def_136,type,
    aTP_Lamm_ff: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_137,type,
    aTP_Lamm_fg: fun_complex_complex > fun_co7673397065115134084omplex ).

tff(func_def_138,type,
    aTP_Lamm_fh: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_139,type,
    aTP_Lamm_fi: fun_int_int > fun_int_fun_int_int ).

tff(func_def_140,type,
    aTP_Lamm_fj: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_141,type,
    aTP_Lamm_fk: fun_real_complex > fun_real_o ).

tff(func_def_142,type,
    aTP_Lamm_fl: fun_int_complex > fun_int_o ).

tff(func_def_143,type,
    aTP_Lamm_fm: fun_real_real > fun_real_o ).

tff(func_def_144,type,
    aTP_Lamm_fn: fun_int_real > fun_int_o ).

tff(func_def_145,type,
    aTP_Lamm_fo: fun_complex_real > fun_complex_o ).

tff(func_def_146,type,
    aTP_Lamm_fp: fun_real_rat > fun_real_o ).

tff(func_def_147,type,
    aTP_Lamm_fq: fun_int_rat > fun_int_o ).

tff(func_def_148,type,
    aTP_Lamm_fr: fun_complex_rat > fun_complex_o ).

tff(func_def_149,type,
    aTP_Lamm_fs: fun_real_nat > fun_real_o ).

tff(func_def_150,type,
    aTP_Lamm_ft: fun_int_nat > fun_int_o ).

tff(func_def_151,type,
    aTP_Lamm_fu: fun_nat_Code_integer > fun_fu2499394402704830801nteger ).

tff(func_def_152,type,
    aTP_Lamm_fv: fun_re6978948838062957830nteger > fun_fu8643405727515436425nteger ).

tff(func_def_153,type,
    aTP_Lamm_fw: fun_int_Code_integer > fun_fu3628599891403802633nteger ).

tff(func_def_154,type,
    aTP_Lamm_fx: fun_co8153928105989009288nteger > fun_fu1400560744564786701nteger ).

tff(func_def_155,type,
    aTP_Lamm_fy: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_156,type,
    aTP_Lamm_fz: fun_int_real > fun_fu121957152452960295t_real ).

tff(func_def_157,type,
    aTP_Lamm_ga: fun_complex_real > fun_fu7714627026455246123x_real ).

tff(func_def_158,type,
    aTP_Lamm_gb: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_159,type,
    aTP_Lamm_gc: fun_real_rat > fun_fu2598743018846156927al_rat ).

tff(func_def_160,type,
    aTP_Lamm_gd: fun_int_rat > fun_fu1008360527747082367nt_rat ).

tff(func_def_161,type,
    aTP_Lamm_ge: fun_in1696471567231710611nt_int ).

tff(func_def_162,type,
    aTP_Lamm_gf: fun_na4138050610385705875at_nat ).

tff(func_def_163,type,
    aTP_Lamm_gg: fun_Co2470855966376689427nteger ).

tff(func_def_164,type,
    aTP_Lamm_gh: fun_nat_complex > fun_nat_complex ).

tff(func_def_165,type,
    aTP_Lamm_gi: fun_nat_rat > fun_nat_rat ).

tff(func_def_166,type,
    aTP_Lamm_gj: fun_nat_real > fun_nat_real ).

tff(func_def_167,type,
    aTP_Lamm_gk: fun_nat_complex > fun_fu40286998686754419omplex ).

tff(func_def_168,type,
    aTP_Lamm_gl: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_169,type,
    aTP_Lamm_gm: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_170,type,
    aTP_Lamm_gn: fun_in1696471567231710611nt_int ).

tff(func_def_171,type,
    aTP_Lamm_go: fun_na4138050610385705875at_nat ).

tff(func_def_172,type,
    aTP_Lamm_gp: fun_Co2470855966376689427nteger ).

tff(func_def_173,type,
    aTP_Lamm_gq: fun_real_nat > fun_fu3214020956574444655al_nat ).

tff(func_def_174,type,
    aTP_Lamm_gr: fun_int_nat > fun_fu8905809029841901679nt_nat ).

tff(func_def_175,type,
    aTP_Lamm_gs: fun_complex_nat > fun_fu705315015666092147ex_nat ).

tff(func_def_176,type,
    aTP_Lamm_gt: fun_Pr2871540613828922186at_nat > fun_fu6946331795031837123at_nat ).

tff(func_def_177,type,
    aTP_Lamm_gu: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_178,type,
    aTP_Lamm_gv: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_179,type,
    aTP_Lamm_gw: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_180,type,
    aTP_Lamm_gx: complex > fun_na1142814060743658952omplex ).

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

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

tff(func_def_183,type,
    aTP_Lamm_ha: real > fun_nat_fun_nat_real ).

tff(func_def_184,type,
    aTP_Lamm_hb: fun_nat_nat > fun_na3244735409550470327at_nat ).

tff(func_def_185,type,
    aTP_Lamm_hc: fun_nat_real > fun_na7718645245721260691t_real ).

tff(func_def_186,type,
    aTP_Lamm_hd: fun_nat_rat > fun_nat_rat ).

tff(func_def_187,type,
    aTP_Lamm_he: fun_nat_int > fun_nat_int ).

tff(func_def_188,type,
    aTP_Lamm_hf: fun_nat_nat > fun_nat_nat ).

tff(func_def_189,type,
    aTP_Lamm_hg: fun_nat_real > fun_nat_real ).

tff(func_def_190,type,
    aTP_Lamm_hh: fun_nat_rat > fun_nat_rat ).

tff(func_def_191,type,
    aTP_Lamm_hi: fun_nat_int > fun_nat_int ).

tff(func_def_192,type,
    aTP_Lamm_hj: fun_nat_real > fun_nat_real ).

tff(func_def_193,type,
    aTP_Lamm_hk: fun_nat_complex > fun_nat_complex ).

tff(func_def_194,type,
    aTP_Lamm_hl: fun_nat_rat > fun_nat_rat ).

tff(func_def_195,type,
    aTP_Lamm_hm: fun_nat_int > fun_nat_int ).

tff(func_def_196,type,
    aTP_Lamm_hn: fun_nat_real > fun_nat_real ).

tff(func_def_197,type,
    aTP_Lamm_ho: fun_nat_rat > fun_nat_rat ).

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

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

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

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

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

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

tff(func_def_204,type,
    aTP_Lamm_hv: nat > fun_nat_fun_nat_nat ).

tff(func_def_205,type,
    aTP_Lamm_hw: fun_na4138050610385705875at_nat ).

tff(func_def_206,type,
    aTP_Lamm_hx: int > fun_int_fun_nat_int ).

tff(func_def_207,type,
    aTP_Lamm_hy: complex > fun_co3258106519541737638omplex ).

tff(func_def_208,type,
    aTP_Lamm_hz: rat > fun_rat_fun_nat_rat ).

tff(func_def_209,type,
    aTP_Lamm_ia: nat > fun_nat_fun_nat_nat ).

tff(func_def_210,type,
    aTP_Lamm_ib: real > fun_re4238438383274954274t_real ).

tff(func_def_211,type,
    aTP_Lamm_ic: fun_nat_fun_nat_int ).

tff(func_def_212,type,
    aTP_Lamm_id: fun_nat_fun_nat_real ).

tff(func_def_213,type,
    aTP_Lamm_ie: fun_na1142814060743658952omplex ).

tff(func_def_214,type,
    aTP_Lamm_if: fun_nat_fun_nat_rat ).

tff(func_def_215,type,
    aTP_Lamm_ig: fun_nat_fun_nat_nat ).

tff(func_def_216,type,
    aTP_Lamm_ih: fun_re4238438383274954274t_real ).

tff(func_def_217,type,
    aTP_Lamm_ii: fun_nat_complex > fun_nat_real ).

tff(func_def_218,type,
    aTP_Lamm_ij: fun_complex_complex > fun_complex_real ).

tff(func_def_219,type,
    aTP_Lamm_ik: fun_nat_real > fun_nat_real ).

tff(func_def_220,type,
    aTP_Lamm_il: fun_re4238438383274954274t_real ).

tff(func_def_221,type,
    aTP_Lamm_im: fun_re4238438383274954274t_real ).

tff(func_def_222,type,
    aTP_Lamm_in: complex > fun_co6883864892131739507omplex ).

tff(func_def_223,type,
    aTP_Lamm_io: complex > fun_co6883864892131739507omplex ).

tff(func_def_224,type,
    aTP_Lamm_ip: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_225,type,
    aTP_Lamm_iq: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_226,type,
    aTP_Lamm_ir: real > fun_re4756235295228751087t_real ).

tff(func_def_227,type,
    aTP_Lamm_is: real > fun_re4756235295228751087t_real ).

tff(func_def_228,type,
    aTP_Lamm_it: fun_rat_fun_rat_o ).

tff(func_def_229,type,
    aTP_Lamm_iu: fun_num_fun_num_o ).

tff(func_def_230,type,
    aTP_Lamm_iv: fun_int_fun_int_o ).

tff(func_def_231,type,
    aTP_Lamm_iw: fun_real_fun_real_o ).

tff(func_def_232,type,
    aTP_Lamm_ix: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_233,type,
    aTP_Lamm_iy: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_234,type,
    aTP_Lamm_iz: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_235,type,
    aTP_Lamm_ja: fun_nat_complex > fun_co8378349014452122532t_real ).

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

tff(func_def_237,type,
    aTP_Lamm_jc: fun_nat_real > fun_nat_fun_nat_real ).

tff(func_def_238,type,
    aTP_Lamm_jd: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_239,type,
    aTP_Lamm_je: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_240,type,
    aTP_Lamm_jf: fun_nat_rat > fun_rat_fun_nat_rat ).

tff(func_def_241,type,
    aTP_Lamm_jg: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_242,type,
    aTP_Lamm_jh: fun_nat_rat > fun_nat_rat ).

tff(func_def_243,type,
    aTP_Lamm_ji: fun_nat_int > fun_nat_int ).

tff(func_def_244,type,
    aTP_Lamm_jj: fun_nat_real > fun_nat_real ).

tff(func_def_245,type,
    aTP_Lamm_jk: complex > fun_co6883864892131739507omplex ).

tff(func_def_246,type,
    aTP_Lamm_jl: complex > fun_co6883864892131739507omplex ).

tff(func_def_247,type,
    aTP_Lamm_jm: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_248,type,
    aTP_Lamm_jn: rat > fun_ra5513060666784058567at_rat ).

tff(func_def_249,type,
    aTP_Lamm_jo: int > fun_in6793278964266839919at_int ).

tff(func_def_250,type,
    aTP_Lamm_jp: int > fun_in6793278964266839919at_int ).

tff(func_def_251,type,
    aTP_Lamm_jq: real > fun_re4756235295228751087t_real ).

tff(func_def_252,type,
    aTP_Lamm_jr: real > fun_re4756235295228751087t_real ).

tff(func_def_253,type,
    aTP_Lamm_js: complex > fun_na6632006986671646835omplex ).

tff(func_def_254,type,
    aTP_Lamm_jt: rat > fun_na1148497095348402375at_rat ).

tff(func_def_255,type,
    aTP_Lamm_ju: int > fun_na2382631619178260847at_int ).

tff(func_def_256,type,
    aTP_Lamm_jv: real > fun_na5225841814499866095t_real ).

tff(func_def_257,type,
    aTP_Lamm_jw: complex > fun_na6632006986671646835omplex ).

tff(func_def_258,type,
    aTP_Lamm_jx: rat > fun_na1148497095348402375at_rat ).

tff(func_def_259,type,
    aTP_Lamm_jy: int > fun_na2382631619178260847at_int ).

tff(func_def_260,type,
    aTP_Lamm_jz: real > fun_na5225841814499866095t_real ).

tff(func_def_261,type,
    aTP_Lamm_ka: complex > fun_na1142814060743658952omplex ).

tff(func_def_262,type,
    aTP_Lamm_kb: rat > fun_nat_fun_nat_rat ).

tff(func_def_263,type,
    aTP_Lamm_kc: int > fun_nat_fun_nat_int ).

tff(func_def_264,type,
    aTP_Lamm_kd: real > fun_nat_fun_nat_real ).

tff(func_def_265,type,
    aTP_Lamm_ke: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_266,type,
    aTP_Lamm_kf: fun_nat_real > fun_nat_real ).

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

tff(func_def_268,type,
    aTP_Lamm_kh: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_269,type,
    aTP_Lamm_ki: complex > fun_fu40286998686754419omplex ).

tff(func_def_270,type,
    aTP_Lamm_kj: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_271,type,
    aTP_Lamm_kk: fun_nat_int > fun_fu8464300013002972271at_int ).

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

tff(func_def_273,type,
    aTP_Lamm_km: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_274,type,
    aTP_Lamm_kn: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_275,type,
    aTP_Lamm_ko: fun_nat_complex > fun_na6632006986671646835omplex ).

tff(func_def_276,type,
    aTP_Lamm_kp: fun_nat_real > fun_na5225841814499866095t_real ).

tff(func_def_277,type,
    aTP_Lamm_kq: fun_nat_complex > fun_na1142814060743658952omplex ).

tff(func_def_278,type,
    aTP_Lamm_kr: real > fun_fu7631928937237476593t_real ).

tff(func_def_279,type,
    aTP_Lamm_ks: fun_nat_real ).

tff(func_def_280,type,
    aTP_Lamm_kt: fun_nat_real ).

tff(func_def_281,type,
    aTP_Lamm_ku: fun_re4238438383274954274t_real ).

tff(func_def_282,type,
    aTP_Lamm_kv: complex > fun_nat_complex ).

tff(func_def_283,type,
    aTP_Lamm_kw: complex > fun_fu40286998686754419omplex ).

tff(func_def_284,type,
    aTP_Lamm_kx: real > fun_fu6899955116716589935t_real ).

tff(func_def_285,type,
    aTP_Lamm_ky: nat > fun_fu40286998686754419omplex ).

tff(func_def_286,type,
    aTP_Lamm_kz: nat > fun_fu6899955116716589935t_real ).

tff(func_def_287,type,
    aTP_Lamm_la: nat > fun_co3258106519541737638omplex ).

tff(func_def_288,type,
    aTP_Lamm_lb: nat > fun_re4238438383274954274t_real ).

tff(func_def_289,type,
    aTP_Lamm_lc: nat > fun_int_fun_nat_int ).

tff(func_def_290,type,
    aTP_Lamm_ld: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_291,type,
    aTP_Lamm_le: fun_nat_real > fun_se2100927751953696370t_real ).

tff(func_def_292,type,
    aTP_Lamm_lf: fun_nat_real ).

tff(func_def_293,type,
    aTP_Lamm_lg: fun_nat_real > fun_nat_real ).

tff(func_def_294,type,
    aTP_Lamm_lh: fun_nat_real > fun_fu6899955116716589935t_real ).

tff(func_def_295,type,
    aTP_Lamm_li: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_296,type,
    aTP_Lamm_lj: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_297,type,
    aTP_Lamm_lk: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_298,type,
    aTP_Lamm_ll: fun_nat_complex > fun_co3258106519541737638omplex ).

tff(func_def_299,type,
    aTP_Lamm_lm: fun_int_int ).

tff(func_def_300,type,
    aTP_Lamm_ln: fun_real_real ).

tff(func_def_301,type,
    aTP_Lamm_lo: fun_nat_nat ).

tff(func_def_302,type,
    aTP_Lamm_lp: fun_complex_complex ).

tff(func_def_303,type,
    aTP_Lamm_lq: fun_rat_rat ).

tff(func_def_304,type,
    aTP_Lamm_lr: real > fun_fu6899955116716589935t_real ).

tff(func_def_305,type,
    aTP_Lamm_ls: complex > fun_fu40286998686754419omplex ).

tff(func_def_306,type,
    aTP_Lamm_lt: fun_re4238438383274954274t_real ).

tff(func_def_307,type,
    aTP_Lamm_lu: fun_re4238438383274954274t_real ).

tff(func_def_308,type,
    aTP_Lamm_lv: complex > fun_nat_complex ).

tff(func_def_309,type,
    aTP_Lamm_lw: rat > fun_nat_rat ).

tff(func_def_310,type,
    aTP_Lamm_lx: int > fun_nat_fun_int_int ).

tff(func_def_311,type,
    aTP_Lamm_ly: real > fun_na6724076748692969250l_real ).

tff(func_def_312,type,
    aTP_Lamm_lz: complex > fun_na1591161823130732966omplex ).

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

tff(func_def_314,type,
    aTP_Lamm_mb: nat > fun_nat_fun_nat_nat ).

tff(func_def_315,type,
    aTP_Lamm_mc: fun_nat_nat ).

tff(func_def_316,type,
    aTP_Lamm_md: fun_nat_int ).

tff(func_def_317,type,
    aTP_Lamm_me: fun_int_int ).

tff(func_def_318,type,
    aTP_Lamm_mf: real > fun_fu8384527901749275179omplex ).

tff(func_def_319,type,
    aTP_Lamm_mg: nat > fun_fu40286998686754419omplex ).

tff(func_def_320,type,
    aTP_Lamm_mh: int > fun_fu3613808716698379563omplex ).

tff(func_def_321,type,
    aTP_Lamm_mi: complex > fun_fu5956788528830221615omplex ).

tff(func_def_322,type,
    aTP_Lamm_mj: real > fun_fu3077872570260440615l_real ).

tff(func_def_323,type,
    aTP_Lamm_mk: nat > fun_fu6899955116716589935t_real ).

tff(func_def_324,type,
    aTP_Lamm_ml: int > fun_fu121957152452960295t_real ).

tff(func_def_325,type,
    aTP_Lamm_mm: complex > fun_fu7714627026455246123x_real ).

tff(func_def_326,type,
    aTP_Lamm_mn: real > fun_fu2598743018846156927al_rat ).

tff(func_def_327,type,
    aTP_Lamm_mo: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_328,type,
    aTP_Lamm_mp: real > fun_fu8384527901749275179omplex ).

tff(func_def_329,type,
    aTP_Lamm_mq: nat > fun_fu40286998686754419omplex ).

tff(func_def_330,type,
    aTP_Lamm_mr: int > fun_fu3613808716698379563omplex ).

tff(func_def_331,type,
    aTP_Lamm_ms: complex > fun_fu5956788528830221615omplex ).

tff(func_def_332,type,
    aTP_Lamm_mt: real > fun_fu3077872570260440615l_real ).

tff(func_def_333,type,
    aTP_Lamm_mu: nat > fun_fu6899955116716589935t_real ).

tff(func_def_334,type,
    aTP_Lamm_mv: int > fun_fu121957152452960295t_real ).

tff(func_def_335,type,
    aTP_Lamm_mw: complex > fun_fu7714627026455246123x_real ).

tff(func_def_336,type,
    aTP_Lamm_mx: real > fun_fu2598743018846156927al_rat ).

tff(func_def_337,type,
    aTP_Lamm_my: nat > fun_fu8328862064278946247at_rat ).

tff(func_def_338,type,
    aTP_Lamm_mz: fun_nat_nat > fun_fu7002938529518989751at_nat ).

tff(func_def_339,type,
    aTP_Lamm_na: fun_nat_int > fun_fu8464300013002972271at_int ).

tff(func_def_340,type,
    aTP_Lamm_nb: fun_int_int > fun_fu1143798476471108391nt_int ).

tff(func_def_341,type,
    aTP_Lamm_nc: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_342,type,
    aTP_Lamm_nd: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_343,type,
    aTP_Lamm_ne: fun_int_int > fun_nat_fun_int_int ).

tff(func_def_344,type,
    aTP_Lamm_nf: fun_nat_int > fun_int_fun_nat_int ).

tff(func_def_345,type,
    aTP_Lamm_ng: fun_nat_complex > fun_na1591161823130732966omplex ).

tff(func_def_346,type,
    aTP_Lamm_nh: fun_nat_real > fun_na6724076748692969250l_real ).

tff(func_def_347,type,
    aTP_Lamm_ni: fun_nat_rat > fun_nat_fun_rat_rat ).

tff(func_def_348,type,
    aTP_Lamm_nj: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_349,type,
    aTP_Lamm_nk: fun_nat_int > fun_nat_fun_int_int ).

tff(func_def_350,type,
    aTP_Lamm_nl: fun_real_complex > fun_fu3532930458344041007omplex ).

tff(func_def_351,type,
    aTP_Lamm_nm: fun_nat_complex > fun_fu4302481349826706223omplex ).

tff(func_def_352,type,
    aTP_Lamm_nn: fun_int_complex > fun_fu3558165918884697647omplex ).

tff(func_def_353,type,
    aTP_Lamm_no: fun_complex_complex > fun_fu3719809307426920623omplex ).

tff(func_def_354,type,
    aTP_Lamm_np: fun_real_real > fun_fu4478067837645853357l_real ).

tff(func_def_355,type,
    aTP_Lamm_nq: fun_nat_real > fun_fu4002475321494201261t_real ).

tff(func_def_356,type,
    aTP_Lamm_nr: fun_int_real > fun_fu7030473000426307245t_real ).

tff(func_def_357,type,
    aTP_Lamm_ns: fun_complex_real > fun_fu3043978019632300333x_real ).

tff(func_def_358,type,
    aTP_Lamm_nt: fun_real_rat > fun_fu5551332503302594393al_rat ).

tff(func_def_359,type,
    aTP_Lamm_nu: fun_nat_rat > fun_fu3162257917499486297at_rat ).

tff(func_def_360,type,
    aTP_Lamm_nv: real > fun_fu3106432010075488275t_real ).

tff(func_def_361,type,
    aTP_Lamm_nw: complex > fun_fu4781654129426620053omplex ).

tff(func_def_362,type,
    aTP_Lamm_nx: nat > fun_fu7002938529518989751at_nat ).

tff(func_def_363,type,
    aTP_Lamm_ny: int > fun_fu4512855384587262995at_int ).

tff(func_def_364,type,
    aTP_Lamm_nz: int > fun_fu6415725884910174923nt_int ).

tff(func_def_365,type,
    aTP_Lamm_oa: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_366,type,
    aTP_Lamm_ob: fun_real_complex > fun_real_o ).

tff(func_def_367,type,
    aTP_Lamm_oc: fun_int_complex > fun_int_o ).

tff(func_def_368,type,
    aTP_Lamm_od: fun_complex_complex > fun_complex_o ).

tff(func_def_369,type,
    aTP_Lamm_oe: fun_real_real > fun_real_o ).

tff(func_def_370,type,
    aTP_Lamm_of: fun_int_real > fun_int_o ).

tff(func_def_371,type,
    aTP_Lamm_og: fun_complex_real > fun_complex_o ).

tff(func_def_372,type,
    aTP_Lamm_oh: fun_real_rat > fun_real_o ).

tff(func_def_373,type,
    aTP_Lamm_oi: fun_int_rat > fun_int_o ).

tff(func_def_374,type,
    aTP_Lamm_oj: fun_complex_rat > fun_complex_o ).

tff(func_def_375,type,
    aTP_Lamm_ok: fun_real_nat > fun_real_o ).

tff(func_def_376,type,
    aTP_Lamm_ol: fun_nat_int > fun_nat_fun_nat_int ).

tff(func_def_377,type,
    aTP_Lamm_om: fun_nat_int > fun_na7654559027617327379at_int ).

tff(func_def_378,type,
    aTP_Lamm_on: real > fun_fu6899955116716589935t_real ).

tff(func_def_379,type,
    aTP_Lamm_oo: fun_re4238438383274954274t_real ).

tff(func_def_380,type,
    aTP_Lamm_op: fun_re4238438383274954274t_real ).

tff(func_def_381,type,
    aTP_Lamm_oq: fun_re4238438383274954274t_real ).

tff(func_def_382,type,
    aTP_Lamm_or: fun_re4238438383274954274t_real ).

tff(func_def_383,type,
    aTP_Lamm_os: fun_nat_fun_nat_nat ).

tff(func_def_384,type,
    aTP_Lamm_ot: fun_nat_fun_nat_nat ).

tff(func_def_385,type,
    aTP_Lamm_ou: nat > fun_nat_fun_nat_nat ).

tff(func_def_386,type,
    aTP_Lamm_ov: nat > fun_na3244735409550470327at_nat ).

tff(func_def_387,type,
    aTP_Lamm_ow: nat > fun_na3244735409550470327at_nat ).

tff(func_def_388,type,
    aTP_Lamm_ox: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_389,type,
    aTP_Lamm_oy: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_390,type,
    aTP_Lamm_oz: fun_nat_nat > fun_fu4413992040155564420at_nat ).

tff(func_def_391,type,
    aTP_Lamm_pa: fun_nat_fun_nat_nat ).

tff(func_def_392,type,
    aTP_Lamm_pb: fun_nat_fun_nat_nat ).

tff(func_def_393,type,
    aTP_Lamm_pc: nat > fun_nat_complex ).

tff(func_def_394,type,
    aTP_Lamm_pd: fun_real_fun_real_o ).

tff(func_def_395,type,
    aTP_Lamm_pe: fun_real_o ).

tff(func_def_396,type,
    aTP_Lamm_pf: fun_real_fun_real_o ).

tff(func_def_397,type,
    aTP_Lamm_pg: fun_real_o ).

tff(func_def_398,type,
    aTP_Lamm_ph: fun_real_fun_real_o ).

tff(func_def_399,type,
    aTP_Lamm_pi: complex > fun_na1554462459066888140plex_o ).

tff(func_def_400,type,
    aTP_Lamm_pj: complex > fun_real_o ).

tff(func_def_401,type,
    aTP_Lamm_pk: int > fun_int_fun_int_o ).

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

tff(func_def_403,type,
    aTP_Lamm_pm: code_integer > fun_Co3544761417380347684eger_o ).

tff(func_def_404,type,
    aTP_Lamm_pn: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_405,type,
    aTP_Lamm_po: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_406,type,
    aTP_Lamm_pp: fun_nat_o ).

tff(func_def_407,type,
    aTP_Lamm_pq: fun_nat_o ).

tff(func_def_408,type,
    aTP_Lamm_pr: set_nat > fun_nat_fun_nat_o ).

tff(func_def_409,type,
    aTP_Lamm_ps: set_nat > fun_nat_fun_nat_o ).

tff(func_def_410,type,
    aTP_Lamm_pt: fun_nat_fun_nat_nat ).

tff(func_def_411,type,
    aTP_Lamm_pu: fun_nat_fun_nat_nat ).

tff(func_def_412,type,
    aTP_Lamm_pv: real > fun_int_o ).

tff(func_def_413,type,
    aTP_Lamm_pw: rat > fun_int_o ).

tff(func_def_414,type,
    aTP_Lamm_px: fun_in1696471567231710611nt_int ).

tff(func_def_415,type,
    aTP_Lamm_py: int > fun_in2204242111582549184nt_int ).

tff(func_def_416,type,
    aTP_Lamm_pz: rat > fun_in1696471567231710611nt_int ).

tff(func_def_417,type,
    aTP_Lamm_qa: int > fun_in2204242111582549184nt_int ).

tff(func_def_418,type,
    aTP_Lamm_qb: rat > fun_in1696471567231710611nt_int ).

tff(func_def_419,type,
    aTP_Lamm_qc: int > fun_in2204242111582549184nt_int ).

tff(func_def_420,type,
    aTP_Lamm_qd: rat > fun_in1696471567231710611nt_int ).

tff(func_def_421,type,
    aTP_Lamm_qe: int > fun_in2204242111582549184nt_int ).

tff(func_def_422,type,
    aTP_Lamm_qf: rat > fun_in1696471567231710611nt_int ).

tff(func_def_423,type,
    aTP_Lamm_qg: int > fun_in5570076352459579423_int_o ).

tff(func_def_424,type,
    aTP_Lamm_qh: rat > fun_int_fun_int_o ).

tff(func_def_425,type,
    aTP_Lamm_qi: int > fun_in5570076352459579423_int_o ).

tff(func_def_426,type,
    aTP_Lamm_qj: rat > fun_int_fun_int_o ).

tff(func_def_427,type,
    aTP_Lamm_qk: code_integer > fun_Co2470855966376689427nteger ).

tff(func_def_428,type,
    aTP_Lamm_ql: fun_Co3583066429914935172er_nat ).

tff(func_def_429,type,
    aTP_Lamm_qm: fun_Co1092983284983208416er_int ).

tff(func_def_430,type,
    aTP_Lamm_qn: nat > fun_na4143055713577223196at_nat ).

tff(func_def_431,type,
    aTP_Lamm_qo: fun_na1668100129766719005at_nat ).

tff(func_def_432,type,
    aTP_Lamm_qp: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_433,type,
    aTP_Lamm_qq: fun_na5914473681949881652_nat_o ).

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_na4143055713577223196at_nat ).

tff(func_def_437,type,
    aTP_Lamm_qu: fun_na1668100129766719005at_nat ).

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: fun_nat_fun_nat_nat ).

tff(func_def_441,type,
    aTP_Lamm_qy: nat > fun_li6914387844523535256_nat_o ).

tff(func_def_442,type,
    aTP_Lamm_qz: set_int > fun_int_o ).

tff(func_def_443,type,
    aTP_Lamm_ra: num > fun_num_int ).

tff(func_def_444,type,
    aTP_Lamm_rb: fun_num_option_num ).

tff(func_def_445,type,
    aTP_Lamm_rc: num > fun_nat_option_num ).

tff(func_def_446,type,
    aTP_Lamm_rd: fun_nat_option_num ).

tff(func_def_447,type,
    aTP_Lamm_re: num > fun_nat_option_num ).

tff(func_def_448,type,
    aTP_Lamm_rf: fun_num_option_num ).

tff(func_def_449,type,
    aTP_Lamm_rg: nat > fun_num_option_num ).

tff(func_def_450,type,
    aTP_Lamm_rh: nat > fun_num_option_num ).

tff(func_def_451,type,
    aTP_Lamm_ri: num > fun_nat_option_num ).

tff(func_def_452,type,
    aTP_Lamm_rj: fun_na7595719129879163854on_num ).

tff(func_def_453,type,
    aTP_Lamm_rk: fun_nat_fun_nat_nat ).

tff(func_def_454,type,
    aTP_Lamm_rl: fun_nat_real > fun_nat_real ).

tff(func_def_455,type,
    aTP_Lamm_rm: int > fun_int_int ).

tff(func_def_456,type,
    aTP_Lamm_rn: fun_nat_fun_nat_nat ).

tff(func_def_457,type,
    aTP_Lamm_ro: fun_na6724076748692969250l_real ).

tff(func_def_458,type,
    aTP_Lamm_rp: fun_real_real > fun_real_real ).

tff(func_def_459,type,
    aTP_Lamm_rq: fun_na6724076748692969250l_real ).

tff(func_def_460,type,
    aTP_Lamm_rr: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_461,type,
    aTP_Lamm_rs: fun_re7681423839302404990l_real ).

tff(func_def_462,type,
    aTP_Lamm_rt: fun_real_real > fun_re7681423839302404990l_real ).

tff(func_def_463,type,
    aTP_Lamm_ru: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_464,type,
    aTP_Lamm_rv: fun_re4238438383274954274t_real > fun_na6724076748692969250l_real ).

tff(func_def_465,type,
    aTP_Lamm_rw: fun_re4238438383274954274t_real > fun_real_real ).

tff(func_def_466,type,
    aTP_Lamm_rx: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_467,type,
    aTP_Lamm_ry: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_468,type,
    aTP_Lamm_rz: fun_nat_real > fun_real_real ).

tff(func_def_469,type,
    aTP_Lamm_sa: fun_na6724076748692969250l_real > fun_re4238438383274954274t_real ).

tff(func_def_470,type,
    aTP_Lamm_sb: real > fun_fu5589980185390252312t_real ).

tff(func_def_471,type,
    aTP_Lamm_sc: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_472,type,
    aTP_Lamm_sd: fun_na6724076748692969250l_real > fun_re8542384036533109323t_real ).

tff(func_def_473,type,
    aTP_Lamm_se: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_474,type,
    aTP_Lamm_sf: nat > fun_fu3612569900928539882l_real ).

tff(func_def_475,type,
    aTP_Lamm_sg: fun_na6724076748692969250l_real > fun_na5225841814499866095t_real ).

tff(func_def_476,type,
    aTP_Lamm_sh: fun_real_real ).

tff(func_def_477,type,
    aTP_Lamm_si: fun_re4238438383274954274t_real ).

tff(func_def_478,type,
    aTP_Lamm_sj: fun_real_real ).

tff(func_def_479,type,
    aTP_Lamm_sk: fun_nat_real > fun_nat_real ).

tff(func_def_480,type,
    aTP_Lamm_sl: fun_nat_real ).

tff(func_def_481,type,
    aTP_Lamm_sm: fun_nat_real > fun_nat_real ).

tff(func_def_482,type,
    aTP_Lamm_sn: fun_nat_real ).

tff(func_def_483,type,
    aTP_Lamm_so: fun_re4238438383274954274t_real ).

tff(func_def_484,type,
    aTP_Lamm_sp: fun_re4238438383274954274t_real ).

tff(func_def_485,type,
    aTP_Lamm_sq: real > fun_re4238438383274954274t_real ).

tff(func_def_486,type,
    aTP_Lamm_sr: fun_re4238438383274954274t_real ).

tff(func_def_487,type,
    aTP_Lamm_ss: fun_re4238438383274954274t_real ).

tff(func_def_488,type,
    aTP_Lamm_st: fun_re4238438383274954274t_real ).

tff(func_def_489,type,
    aTP_Lamm_su: fun_re4238438383274954274t_real ).

tff(func_def_490,type,
    aTP_Lamm_sv: fun_nat_real > fun_re4238438383274954274t_real ).

tff(func_def_491,type,
    aTP_Lamm_sw: fun_nat_real > fun_fu6119738925743952495t_real ).

tff(func_def_492,type,
    aTP_Lamm_sx: fun_nat_real > fun_nat_real ).

tff(func_def_493,type,
    aTP_Lamm_sy: fun_nat_real > fun_nat_real ).

tff(func_def_494,type,
    aTP_Lamm_sz: fun_nat_real > fun_nat_real ).

tff(func_def_495,type,
    aTP_Lamm_ta: fun_nat_o > fun_nat_fun_nat_o ).

tff(func_def_496,type,
    aTP_Lamm_tb: fun_real_real > fun_fu3022329567491847689real_o ).

tff(func_def_497,type,
    aTP_Lamm_tc: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_498,type,
    aTP_Lamm_td: real > fun_real_fun_real_o ).

tff(func_def_499,type,
    aTP_Lamm_te: fun_real_real > fun_real_o ).

tff(func_def_500,type,
    aTP_Lamm_tf: fun_real_real > fun_fu3077872570260440615l_real ).

tff(func_def_501,type,
    aTP_Lamm_tg: fun_real_real ).

tff(func_def_502,type,
    aTP_Lamm_th: fun_na6724076748692969250l_real ).

tff(func_def_503,type,
    aTP_Lamm_ti: fun_re7681423839302404990l_real ).

tff(func_def_504,type,
    aTP_Lamm_tj: nat > fun_fu3077872570260440615l_real ).

tff(func_def_505,type,
    aTP_Lamm_tk: fun_re7681423839302404990l_real ).

tff(func_def_506,type,
    aTP_Lamm_tl: fun_real_o > fun_real_fun_real_o ).

tff(func_def_507,type,
    aTP_Lamm_tm: fun_real_real > fun_real_real ).

tff(func_def_508,type,
    aTP_Lamm_tn: fun_real_real > fun_real_real ).

tff(func_def_509,type,
    aTP_Lamm_to: real > fun_co1148497455491383662plex_o ).

tff(func_def_510,type,
    aTP_Lamm_tp: fun_re3844104906058862192omplex ).

tff(func_def_511,type,
    aTP_Lamm_tq: real > fun_real_fun_real_o ).

tff(func_def_512,type,
    aTP_Lamm_tr: fun_re5512370375968561900l_real ).

tff(func_def_513,type,
    aTP_Lamm_ts: fun_nat_fun_nat_nat ).

tff(func_def_514,type,
    aTP_Lamm_tt: fun_nat_real > fun_fu3106432010075488275t_real ).

tff(func_def_515,type,
    aTP_Lamm_tu: fun_real_o ).

tff(func_def_516,type,
    aTP_Lamm_tv: fun_real_o ).

tff(func_def_517,type,
    aTP_Lamm_tw: fun_Co8521658056209057742er_num ).

tff(func_def_518,type,
    aTP_Lamm_tx: fun_nat_fun_nat_nat ).

tff(func_def_519,type,
    aTP_Lamm_ty: fun_nat_fun_nat_nat ).

tff(func_def_520,type,
    aTP_Lamm_tz: nat > fun_nat_fun_nat_o ).

tff(func_def_521,type,
    aTP_Lamm_ua: nat > fun_nat_fun_nat_o ).

tff(func_def_522,type,
    aTP_Lamm_ub: fun_nat_fun_nat_nat ).

tff(func_def_523,type,
    aTP_Lamm_uc: fun_nat_nat ).

tff(func_def_524,type,
    aTP_Lamm_ud: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_525,type,
    aTP_Lamm_ue: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_526,type,
    aTP_Lamm_uf: nat > fun_na7234455742697417626_nat_o ).

tff(func_def_527,type,
    aTP_Lamm_ug: rat > fun_Pr3238374608701176162_int_o ).

tff(func_def_528,type,
    aTP_Lamm_uh: fun_fu6579618355643354601at_rat ).

tff(func_def_529,type,
    aTP_Lamm_ui: rat > fun_nat_rat ).

tff(func_def_530,type,
    aTP_Lamm_uj: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_531,type,
    aTP_Lamm_uk: fun_fu8328862064278946247at_rat ).

tff(func_def_532,type,
    aTP_Lamm_ul: fun_fu6579618355643354601at_rat ).

tff(func_def_533,type,
    aTP_Lamm_um: fun_nat_rat > fun_nat_rat ).

tff(func_def_534,type,
    aTP_Lamm_un: fun_nat_rat > fun_fu8328862064278946247at_rat ).

tff(func_def_535,type,
    aTP_Lamm_uo: int > fun_nat_rat ).

tff(func_def_536,type,
    aTP_Lamm_up: fun_nat_rat ).

tff(func_def_537,type,
    aTP_Lamm_uq: fun_nat_rat ).

tff(func_def_538,type,
    aTP_Lamm_ur: nat > fun_nat_rat ).

tff(func_def_539,type,
    aTP_Lamm_us: fun_fu8328862064278946247at_rat ).

tff(func_def_540,type,
    aTP_Lamm_ut: fun_fun_nat_rat_o ).

tff(func_def_541,type,
    aTP_Lamm_uu: fun_num_fun_num_int ).

tff(func_def_542,type,
    aTP_Lamm_uv: fun_int_int ).

tff(func_def_543,type,
    aTP_Lamm_uw: fun_Pr1308109350235310159nt_int ).

tff(func_def_544,type,
    aTP_Lamm_ux: fun_Pr1308109350235310159nt_int ).

tff(func_def_545,type,
    aTP_Lamm_uy: fun_Pr3238374608701176162_int_o ).

tff(func_def_546,type,
    aTP_Lamm_uz: nat > fun_na7928631014926962227_nat_o ).

tff(func_def_547,type,
    aTP_Lamm_va: fun_na5914473681949881652_nat_o ).

tff(func_def_548,type,
    aTP_Lamm_vb: fun_nat_o > fun_nat_o ).

tff(func_def_549,type,
    aTP_Lamm_vc: set_real > fun_real_o ).

tff(func_def_550,type,
    aTP_Lamm_vd: fun_re7681423839302404990l_real ).

tff(func_def_551,type,
    aTP_Lamm_ve: fun_re7681423839302404990l_real ).

tff(func_def_552,type,
    aTP_Lamm_vf: extended_enat > fun_nat_o ).

tff(func_def_553,type,
    aTP_Lamm_vg: extended_enat > fun_nat_o ).

tff(func_def_554,type,
    archim7802044766580827645g_real: fun_real_int ).

tff(func_def_555,type,
    archim3151403230148437115or_rat: fun_rat_int ).

tff(func_def_556,type,
    archim6058952711729229775r_real: fun_real_int ).

tff(func_def_557,type,
    archim2898591450579166408c_real: fun_real_real ).

tff(func_def_558,type,
    archim7778729529865785530nd_rat: fun_rat_int ).

tff(func_def_559,type,
    archim8280529875227126926d_real: fun_real_int ).

tff(func_def_560,type,
    bNF_re5089333283451836215nt_o_o: ( fun_int_fun_int_o * fun_o_fun_o_o ) > fun_fu6971708032831053102nt_o_o ).

tff(func_def_561,type,
    bNF_re4712519889275205905nt_int: ( fun_int_fun_int_o * fun_int_fun_int_o ) > fun_fu4208408993564413984_int_o ).

tff(func_def_562,type,
    bNF_re4705727531993890431at_o_o: ( fun_nat_fun_nat_o * fun_o_fun_o_o ) > fun_fu7564235448449272366at_o_o ).

tff(func_def_563,type,
    bNF_re5653821019739307937at_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_fu9201817095025044880_nat_o ).

tff(func_def_564,type,
    bNF_re1822329894187522285nt_int: ( fun_num_fun_num_o * fun_int_fun_int_o ) > fun_fu5908277796454533188_int_o ).

tff(func_def_565,type,
    bNF_re7145576690424134365nt_int: ( fun_Pr9018117161326028078_int_o * fun_Pr9018117161326028078_int_o ) > fun_fu5323616038969315652_int_o ).

tff(func_def_566,type,
    bNF_re8279943556446156061nt_rat: ( fun_Pr7537129237977221859_rat_o * fun_Pr7537129237977221859_rat_o ) > fun_fu4306744791715064858_rat_o ).

tff(func_def_567,type,
    bNF_re6644619430987730960nt_o_o: ( fun_Pr4738963024209204295_int_o * fun_o_fun_o_o ) > fun_fu9090758901314268781nt_o_o ).

tff(func_def_568,type,
    bNF_re7400052026677387805at_int: ( fun_Pr4738963024209204295_int_o * fun_Pr4738963024209204295_int_o ) > fun_fu4638078822479986034_int_o ).

tff(func_def_569,type,
    bNF_re3666534408544137501at_o_o: ( fun_Pr2028404973800837934_nat_o * fun_o_fun_o_o ) > fun_fu9045186299510176150at_o_o ).

tff(func_def_570,type,
    bNF_re2241393799969408733at_nat: ( fun_Pr2028404973800837934_nat_o * fun_Pr2028404973800837934_nat_o ) > fun_fu3373238862511017284_nat_o ).

tff(func_def_571,type,
    bNF_re3218747500659316912al_o_o: ( fun_fu1771228864347509049real_o * fun_o_fun_o_o ) > fun_fu7981297689148232565al_o_o ).

tff(func_def_572,type,
    bNF_re237660433471117187t_real: ( fun_fu1771228864347509049real_o * fun_fu1771228864347509049real_o ) > fun_fu6910828598506988974real_o ).

tff(func_def_573,type,
    bNF_re9178625837396562677at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu6714665071556184448_rat_o ) > fun_fu1950632212952468284_rat_o ).

tff(func_def_574,type,
    binomial: fun_nat_fun_nat_nat ).

tff(func_def_575,type,
    bit_and_int_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_576,type,
    bit_and_not_num: ( num * num ) > option_num ).

tff(func_def_577,type,
    bit_and_not_num_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_578,type,
    bit_concat_bit: ( nat * int ) > fun_int_int ).

tff(func_def_579,type,
    bit_or_not_num_neg: fun_num_fun_num_num ).

tff(func_def_580,type,
    bit_or3848514188828904588eg_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_581,type,
    bit_ri7919022796975470100ot_int: fun_int_int ).

tff(func_def_582,type,
    bit_ri6519982836138164636nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_583,type,
    bit_ri631733984087533419it_int: nat > fun_int_int ).

tff(func_def_584,type,
    bit_se725231765392027082nd_int: int > fun_int_int ).

tff(func_def_585,type,
    bit_se727722235901077358nd_nat: fun_nat_fun_nat_nat ).

tff(func_def_586,type,
    bit_se8568078237143864401it_int: nat > fun_int_int ).

tff(func_def_587,type,
    bit_se8570568707652914677it_nat: fun_nat_fun_nat_nat ).

tff(func_def_588,type,
    bit_se1345352211410354436nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_589,type,
    bit_se2159334234014336723it_int: nat > fun_int_int ).

tff(func_def_590,type,
    bit_se2161824704523386999it_nat: fun_nat_fun_nat_nat ).

tff(func_def_591,type,
    bit_se2000444600071755411sk_int: fun_nat_int ).

tff(func_def_592,type,
    bit_se2002935070580805687sk_nat: fun_nat_nat ).

tff(func_def_593,type,
    bit_se1409905431419307370or_int: int > fun_int_int ).

tff(func_def_594,type,
    bit_se1412395901928357646or_nat: fun_nat_fun_nat_nat ).

tff(func_def_595,type,
    bit_se545348938243370406it_int: nat > fun_int_int ).

tff(func_def_596,type,
    bit_se547839408752420682it_nat: fun_nat_fun_nat_nat ).

tff(func_def_597,type,
    bit_se2793503036327961859nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_598,type,
    bit_se7879613467334960850it_int: fun_nat_fun_int_int ).

tff(func_def_599,type,
    bit_se7882103937844011126it_nat: fun_nat_fun_nat_nat ).

tff(func_def_600,type,
    bit_se1745604003318907178nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_601,type,
    bit_se2923211474154528505it_int: nat > fun_int_int ).

tff(func_def_602,type,
    bit_se2925701944663578781it_nat: fun_nat_fun_nat_nat ).

tff(func_def_603,type,
    bit_se8260200283734997820nteger: ( nat * code_integer ) > code_integer ).

tff(func_def_604,type,
    bit_se4203085406695923979it_int: fun_nat_fun_int_int ).

tff(func_def_605,type,
    bit_se4205575877204974255it_nat: fun_nat_fun_nat_nat ).

tff(func_def_606,type,
    bit_se6526347334894502574or_int: int > fun_int_int ).

tff(func_def_607,type,
    bit_se6528837805403552850or_nat: fun_nat_fun_nat_nat ).

tff(func_def_608,type,
    bit_se9216721137139052372nteger: code_integer > fun_nat_o ).

tff(func_def_609,type,
    bit_se1146084159140164899it_int: int > fun_nat_o ).

tff(func_def_610,type,
    bit_se1148574629649215175it_nat: fun_nat_fun_nat_o ).

tff(func_def_611,type,
    bit_take_bit_num: ( nat * num ) > option_num ).

tff(func_def_612,type,
    bit_un1837492267222099188nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_613,type,
    bit_un5425074673868309765um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_614,type,
    bit_un6178654185764691216or_num: fun_nu1049378303802735384on_num ).

tff(func_def_615,type,
    bit_un3595099601533988841um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_616,type,
    bit_un7362597486090784418nd_num: fun_nu1049378303802735384on_num ).

tff(func_def_617,type,
    bit_un4731106466462545111um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_618,type,
    bit_un2480387367778600638or_num: fun_nu1049378303802735384on_num ).

tff(func_def_619,type,
    bit_un2901131394128224187um_rel: fun_Pr4799464687642144302_num_o ).

tff(func_def_620,type,
    code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).

tff(func_def_621,type,
    code_divmod_abs: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_622,type,
    code_divmod_integer: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_623,type,
    code_int_of_integer: code_integer > int ).

tff(func_def_624,type,
    code_integer_of_int: fun_int_Code_integer ).

tff(func_def_625,type,
    code_integer_of_num: fun_num_Code_integer ).

tff(func_def_626,type,
    code_nat_of_integer: code_integer > nat ).

tff(func_def_627,type,
    code_negative: fun_num_Code_integer ).

tff(func_def_628,type,
    code_num_of_integer: code_integer > num ).

tff(func_def_629,type,
    code_positive: fun_num_Code_integer ).

tff(func_def_630,type,
    code_Target_negative: fun_num_int ).

tff(func_def_631,type,
    code_Target_positive: fun_num_int ).

tff(func_def_632,type,
    comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).

tff(func_def_633,type,
    comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_real ).

tff(func_def_634,type,
    comple4887499456419720421f_real: set_real > real ).

tff(func_def_635,type,
    complete_Sup_Sup_int: set_int > int ).

tff(func_def_636,type,
    comple1385675409528146559p_real: set_real > real ).

tff(func_def_637,type,
    arg: fun_complex_real ).

tff(func_def_638,type,
    cis: fun_real_complex ).

tff(func_def_639,type,
    cnj: fun_complex_complex ).

tff(func_def_640,type,
    complex2: real > fun_real_complex ).

tff(func_def_641,type,
    im: fun_complex_real ).

tff(func_def_642,type,
    re: fun_complex_real ).

tff(func_def_643,type,
    csqrt: fun_complex_complex ).

tff(func_def_644,type,
    imaginary_unit: complex ).

tff(func_def_645,type,
    rcis: real > fun_real_complex ).

tff(func_def_646,type,
    adjust_div: product_prod_int_int > int ).

tff(func_def_647,type,
    adjust_mod: int > fun_int_int ).

tff(func_def_648,type,
    divmod_nat: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_649,type,
    unique3479559517661332726nteger: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_650,type,
    unique5052692396658037445od_int: ( num * num ) > product_prod_int_int ).

tff(func_def_651,type,
    unique5055182867167087721od_nat: ( num * num ) > product_prod_nat_nat ).

tff(func_def_652,type,
    unique4921790084139445826nteger: ( num * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_653,type,
    unique5024387138958732305ep_int: ( num * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_654,type,
    unique5026877609467782581ep_nat: ( num * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_655,type,
    euclid4774559944035922753ze_int: fun_int_nat ).

tff(func_def_656,type,
    euclid3395696857347342551nt_int: fun_int_int ).

tff(func_def_657,type,
    euclid3398187327856392827nt_nat: fun_nat_nat ).

tff(func_def_658,type,
    extended_case_enat_o: ( fun_nat_o * $o ) > fun_Extended_enat_o ).

tff(func_def_659,type,
    comm_s8582702949713902594nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_660,type,
    comm_s2602460028002588243omplex: complex > fun_nat_complex ).

tff(func_def_661,type,
    comm_s4660882817536571857er_int: int > fun_nat_int ).

tff(func_def_662,type,
    comm_s4663373288045622133er_nat: fun_nat_fun_nat_nat ).

tff(func_def_663,type,
    comm_s4028243227959126397er_rat: rat > fun_nat_rat ).

tff(func_def_664,type,
    comm_s7457072308508201937r_real: fun_re4238438383274954274t_real ).

tff(func_def_665,type,
    semiri3624122377584611663nteger: fun_nat_Code_integer ).

tff(func_def_666,type,
    semiri5044797733671781792omplex: fun_nat_complex ).

tff(func_def_667,type,
    semiri1406184849735516958ct_int: fun_nat_int ).

tff(func_def_668,type,
    semiri1408675320244567234ct_nat: fun_nat_nat ).

tff(func_def_669,type,
    semiri773545260158071498ct_rat: fun_nat_rat ).

tff(func_def_670,type,
    semiri2265585572941072030t_real: fun_nat_real ).

tff(func_def_671,type,
    invers8013647133539491842omplex: fun_complex_complex ).

tff(func_def_672,type,
    inverse_inverse_rat: fun_rat_rat ).

tff(func_def_673,type,
    inverse_inverse_real: fun_real_real ).

tff(func_def_674,type,
    at_bot_real: filter_real ).

tff(func_def_675,type,
    at_top_nat: filter_nat ).

tff(func_def_676,type,
    at_top_real: filter_real ).

tff(func_def_677,type,
    filtermap_real_real: ( fun_real_real * filter_real ) > filter_real ).

tff(func_def_678,type,
    princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).

tff(func_def_679,type,
    princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).

tff(func_def_680,type,
    finite_card_o: set_o > nat ).

tff(func_def_681,type,
    finite_card_complex: set_complex > nat ).

tff(func_def_682,type,
    finite_card_int: set_int > nat ).

tff(func_def_683,type,
    finite_card_list_nat: set_list_nat > nat ).

tff(func_def_684,type,
    finite_card_nat: set_nat > nat ).

tff(func_def_685,type,
    finite410649719033368117t_unit: set_Product_unit > nat ).

tff(func_def_686,type,
    finite_card_char: set_char > nat ).

tff(func_def_687,type,
    finite3207457112153483333omplex: fun_set_complex_o ).

tff(func_def_688,type,
    finite_finite_int: fun_set_int_o ).

tff(func_def_689,type,
    finite_finite_nat: fun_set_nat_o ).

tff(func_def_690,type,
    bij_be1856998921033663316omplex: ( fun_complex_complex * set_complex ) > fun_set_complex_o ).

tff(func_def_691,type,
    bij_betw_nat_complex: ( fun_nat_complex * set_nat ) > fun_set_complex_o ).

tff(func_def_692,type,
    bij_betw_nat_nat: ( fun_nat_nat * set_nat ) > fun_set_nat_o ).

tff(func_def_693,type,
    comp_C3531382070062128313er_num: ( fun_Co8499238673658658103nteger * fun_num_Code_integer ) > fun_num_Code_integer ).

tff(func_def_694,type,
    comp_C7848664941760151970nteger: ( fun_Co1561183069634336733nteger * fun_Co8499238673658658103nteger * code_integer ) > fun_Pr5876161306168176259nteger ).

tff(func_def_695,type,
    comp_int_int_num: ( fun_int_int * fun_num_int ) > fun_num_int ).

tff(func_def_696,type,
    comp_int_nat_int: ( fun_int_nat * fun_int_int ) > fun_int_nat ).

tff(func_def_697,type,
    comp_int_real_real: ( fun_int_real * fun_real_int ) > fun_real_real ).

tff(func_def_698,type,
    comp_nat_real_nat: ( fun_nat_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_699,type,
    comp_f6739083541385432444nteger: ( fun_fu4800041728187187127nteger * fun_Co1981900195452921617nteger ) > fun_Co1561183069634336733nteger ).

tff(func_def_700,type,
    inj_on_nat_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_701,type,
    inj_on_nat_char: fun_nat_char > fun_set_nat_o ).

tff(func_def_702,type,
    map_fu3926683916856352828t_real: ( fun_real_fun_nat_rat * fun_fun_nat_rat_real ) > fun_fu3711856879280950809l_real ).

tff(func_def_703,type,
    map_fu2502140041903272327l_real: ( fun_real_fun_nat_rat * fun_fu3711856879280950809l_real * fun_fu6579618355643354601at_rat ) > fun_re7681423839302404990l_real ).

tff(func_def_704,type,
    strict1292158309912662752at_nat: fun_nat_nat > fun_set_nat_o ).

tff(func_def_705,type,
    the_in5290026491893676941l_real: ( set_real * fun_real_real ) > fun_real_real ).

tff(func_def_706,type,
    fun_pair_leq: set_Pr8693737435421807431at_nat ).

tff(func_def_707,type,
    fun_pair_less: set_Pr8693737435421807431at_nat ).

tff(func_def_708,type,
    gcd_Gcd_int: set_int > int ).

tff(func_def_709,type,
    gcd_Gcd_nat: set_nat > nat ).

tff(func_def_710,type,
    bezw: ( nat * nat ) > product_prod_int_int ).

tff(func_def_711,type,
    bezw_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_712,type,
    gcd_gcd_int: int > fun_int_int ).

tff(func_def_713,type,
    gcd_gcd_nat: fun_nat_fun_nat_nat ).

tff(func_def_714,type,
    abs_abs_Code_integer: code_integer > code_integer ).

tff(func_def_715,type,
    abs_abs_complex: fun_complex_complex ).

tff(func_def_716,type,
    abs_abs_int: fun_int_int ).

tff(func_def_717,type,
    abs_abs_rat: fun_rat_rat ).

tff(func_def_718,type,
    abs_abs_real: fun_real_real ).

tff(func_def_719,type,
    minus_8373710615458151222nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_720,type,
    minus_minus_complex: complex > fun_complex_complex ).

tff(func_def_721,type,
    minus_3235023915231533773d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_722,type,
    minus_minus_int: fun_int_fun_int_int ).

tff(func_def_723,type,
    minus_minus_nat: fun_nat_fun_nat_nat ).

tff(func_def_724,type,
    minus_minus_rat: rat > fun_rat_rat ).

tff(func_def_725,type,
    minus_minus_real: fun_re7681423839302404990l_real ).

tff(func_def_726,type,
    minus_811609699411566653omplex: ( set_complex * set_complex ) > set_complex ).

tff(func_def_727,type,
    minus_minus_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_728,type,
    minus_7954133019191499631st_nat: ( set_list_nat * set_list_nat ) > set_list_nat ).

tff(func_def_729,type,
    minus_minus_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_730,type,
    minus_8321449233255521966at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > set_Pr8693737435421807431at_nat ).

tff(func_def_731,type,
    minus_minus_set_real: ( set_real * set_real ) > set_real ).

tff(func_def_732,type,
    minus_8169481405280535082plex_o: ( fun_complex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_733,type,
    minus_7151557278095657260_int_o: ( fun_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_734,type,
    minus_5761417318614613624_nat_o: ( fun_list_nat_o * fun_list_nat_o ) > fun_list_nat_o ).

tff(func_def_735,type,
    minus_8972599623528345224_nat_o: ( fun_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_736,type,
    minus_4521248064931301517_nat_o: ( fun_Pr363642936170290612_nat_o * fun_Pr363642936170290612_nat_o ) > fun_Pr363642936170290612_nat_o ).

tff(func_def_737,type,
    minus_404528632214381484real_o: ( fun_real_o * fun_real_o ) > fun_real_o ).

tff(func_def_738,type,
    one_one_Code_integer: code_integer ).

tff(func_def_739,type,
    one_one_complex: complex ).

tff(func_def_740,type,
    one_on7984719198319812577d_enat: extended_enat ).

tff(func_def_741,type,
    one_one_int: int ).

tff(func_def_742,type,
    one_one_nat: nat ).

tff(func_def_743,type,
    one_one_rat: rat ).

tff(func_def_744,type,
    one_one_real: real ).

tff(func_def_745,type,
    plus_p5714425477246183910nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_746,type,
    plus_plus_complex: complex > fun_complex_complex ).

tff(func_def_747,type,
    plus_p3455044024723400733d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_748,type,
    plus_plus_int: fun_int_fun_int_int ).

tff(func_def_749,type,
    plus_plus_nat: fun_nat_fun_nat_nat ).

tff(func_def_750,type,
    plus_plus_num: fun_num_fun_num_num ).

tff(func_def_751,type,
    plus_plus_rat: fun_rat_fun_rat_rat ).

tff(func_def_752,type,
    plus_plus_real: fun_re7681423839302404990l_real ).

tff(func_def_753,type,
    sgn_sgn_Code_integer: fun_Co8499238673658658103nteger ).

tff(func_def_754,type,
    sgn_sgn_complex: fun_complex_complex ).

tff(func_def_755,type,
    sgn_sgn_int: fun_int_int ).

tff(func_def_756,type,
    sgn_sgn_rat: fun_rat_rat ).

tff(func_def_757,type,
    sgn_sgn_real: fun_real_real ).

tff(func_def_758,type,
    times_3573771949741848930nteger: fun_Co1981900195452921617nteger ).

tff(func_def_759,type,
    times_times_complex: complex > fun_complex_complex ).

tff(func_def_760,type,
    times_7803423173614009249d_enat: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_761,type,
    times_times_int: fun_int_fun_int_int ).

tff(func_def_762,type,
    times_times_nat: fun_nat_fun_nat_nat ).

tff(func_def_763,type,
    times_times_num: fun_num_fun_num_num ).

tff(func_def_764,type,
    times_times_rat: fun_rat_fun_rat_rat ).

tff(func_def_765,type,
    times_times_real: fun_re7681423839302404990l_real ).

tff(func_def_766,type,
    uminus1351360451143612070nteger: fun_Co8499238673658658103nteger ).

tff(func_def_767,type,
    uminus1482373934393186551omplex: fun_complex_complex ).

tff(func_def_768,type,
    uminus_uminus_int: fun_int_int ).

tff(func_def_769,type,
    uminus_uminus_rat: fun_rat_rat ).

tff(func_def_770,type,
    uminus_uminus_real: fun_real_real ).

tff(func_def_771,type,
    uminus1532241313380277803et_int: set_int > set_int ).

tff(func_def_772,type,
    uminus5710092332889474511et_nat: set_nat > set_nat ).

tff(func_def_773,type,
    uminus612125837232591019t_real: set_real > set_real ).

tff(func_def_774,type,
    zero_z3403309356797280102nteger: code_integer ).

tff(func_def_775,type,
    zero_zero_complex: complex ).

tff(func_def_776,type,
    zero_z5237406670263579293d_enat: extended_enat ).

tff(func_def_777,type,
    zero_zero_int: int ).

tff(func_def_778,type,
    zero_zero_nat: nat ).

tff(func_def_779,type,
    zero_zero_rat: rat ).

tff(func_def_780,type,
    zero_zero_real: real ).

tff(func_def_781,type,
    groups6621422865394947399nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_782,type,
    groups7754918857620584856omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_783,type,
    groups5690904116761175830ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_784,type,
    groups5693394587270226106ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_785,type,
    groups5058264527183730370ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_786,type,
    groups5808333547571424918x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_787,type,
    groups7873554091576472773nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_788,type,
    groups3049146728041665814omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_789,type,
    groups4538972089207619220nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_790,type,
    groups4541462559716669496nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_791,type,
    groups3906332499630173760nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_792,type,
    groups8778361861064173332t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_793,type,
    groups7501900531339628137nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_794,type,
    groups2073611262835488442omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_795,type,
    groups3539618377306564664at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_796,type,
    groups3542108847815614940at_nat: fun_nat_nat > fun_set_nat_nat ).

tff(func_def_797,type,
    groups2906978787729119204at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_798,type,
    groups6591440286371151544t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_799,type,
    groups7963564606188603611omplex: ( fun_Pr3802883763772590888omplex * set_Pr8693737435421807431at_nat ) > complex ).

tff(func_def_800,type,
    groups1900718384385340925at_nat: ( fun_Pr2871540613828922186at_nat * set_Pr8693737435421807431at_nat ) > nat ).

tff(func_def_801,type,
    groups7817252763086508633t_real: ( fun_Pr4526765928551516326t_real * set_Pr8693737435421807431at_nat ) > real ).

tff(func_def_802,type,
    groups7713935264441627589nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_803,type,
    groups5754745047067104278omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_804,type,
    groups1932886352136224148al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_805,type,
    groups1935376822645274424al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_806,type,
    groups1300246762558778688al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_807,type,
    groups8097168146408367636l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_808,type,
    groups8682486955453173170nteger: ( fun_co8153928105989009288nteger * set_complex ) > code_integer ).

tff(func_def_809,type,
    groups3708469109370488835omplex: ( fun_complex_complex * set_complex ) > complex ).

tff(func_def_810,type,
    groups858564598930262913ex_int: ( fun_complex_int * set_complex ) > int ).

tff(func_def_811,type,
    groups861055069439313189ex_nat: ( fun_complex_nat * set_complex ) > nat ).

tff(func_def_812,type,
    groups225925009352817453ex_rat: ( fun_complex_rat * set_complex ) > rat ).

tff(func_def_813,type,
    groups766887009212190081x_real: ( fun_complex_real * set_complex ) > real ).

tff(func_def_814,type,
    groups3827104343326376752nteger: ( fun_int_Code_integer * set_int ) > code_integer ).

tff(func_def_815,type,
    groups7440179247065528705omplex: ( fun_int_complex * set_int ) > complex ).

tff(func_def_816,type,
    groups1705073143266064639nt_int: ( fun_int_int * set_int ) > int ).

tff(func_def_817,type,
    groups1707563613775114915nt_nat: ( fun_int_nat * set_int ) > nat ).

tff(func_def_818,type,
    groups1072433553688619179nt_rat: ( fun_int_rat * set_int ) > rat ).

tff(func_def_819,type,
    groups2316167850115554303t_real: ( fun_int_real * set_int ) > real ).

tff(func_def_820,type,
    groups3455450783089532116nteger: ( fun_nat_Code_integer * set_nat ) > code_integer ).

tff(func_def_821,type,
    groups6464643781859351333omplex: ( fun_nat_complex * set_nat ) > complex ).

tff(func_def_822,type,
    groups705719431365010083at_int: ( fun_nat_int * set_nat ) > int ).

tff(func_def_823,type,
    groups708209901874060359at_nat: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_824,type,
    groups73079841787564623at_rat: ( fun_nat_rat * set_nat ) > rat ).

tff(func_def_825,type,
    groups129246275422532515t_real: ( fun_nat_real * set_nat ) > real ).

tff(func_def_826,type,
    groups6225526099057966256nteger: ( fun_re6978948838062957830nteger * set_real ) > code_integer ).

tff(func_def_827,type,
    groups713298508707869441omplex: ( fun_real_complex * set_real ) > complex ).

tff(func_def_828,type,
    groups4694064378042380927al_int: ( fun_real_int * set_real ) > int ).

tff(func_def_829,type,
    groups4696554848551431203al_nat: ( fun_real_nat * set_real ) > nat ).

tff(func_def_830,type,
    groups4061424788464935467al_rat: ( fun_real_rat * set_real ) > rat ).

tff(func_def_831,type,
    groups1681761925125756287l_real: ( fun_real_real * set_real ) > real ).

tff(func_def_832,type,
    groups9116527308978886569_o_int: ( fun_o_int * int * list_o ) > int ).

tff(func_def_833,type,
    groups4561878855575611511st_nat: list_nat > nat ).

tff(func_def_834,type,
    the_int: fun_int_o > int ).

tff(func_def_835,type,
    the_Pr4378521158711661632nt_int: fun_Pr3238374608701176162_int_o > product_prod_int_int ).

tff(func_def_836,type,
    the_real: fun_real_o > real ).

tff(func_def_837,type,
    infini8530281810654367211te_nat: set_nat > fun_nat_nat ).

tff(func_def_838,type,
    abs_Integ: product_prod_nat_nat > int ).

tff(func_def_839,type,
    rep_Integ: int > product_prod_nat_nat ).

tff(func_def_840,type,
    int_ge_less_than: int > set_Pr958786334691620121nt_int ).

tff(func_def_841,type,
    int_ge_less_than2: int > set_Pr958786334691620121nt_int ).

tff(func_def_842,type,
    intrel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_843,type,
    nat2: fun_int_nat ).

tff(func_def_844,type,
    pcr_int: fun_Pr4738963024209204295_int_o ).

tff(func_def_845,type,
    power_int_real: real > fun_int_real ).

tff(func_def_846,type,
    ring_1_Ints_real: set_real ).

tff(func_def_847,type,
    ring_18347121197199848620nteger: fun_int_Code_integer ).

tff(func_def_848,type,
    ring_17405671764205052669omplex: fun_int_complex ).

tff(func_def_849,type,
    ring_1_of_int_int: fun_int_int ).

tff(func_def_850,type,
    ring_1_of_int_rat: fun_int_rat ).

tff(func_def_851,type,
    ring_1_of_int_real: fun_int_real ).

tff(func_def_852,type,
    inf_in1870772243966228564d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_853,type,
    inf_inf_nat: fun_nat_fun_nat_nat ).

tff(func_def_854,type,
    sup_su3973961784419623482d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_855,type,
    sup_sup_nat: fun_nat_fun_nat_nat ).

tff(func_def_856,type,
    sup_sup_set_nat: ( set_nat * set_nat ) > set_nat ).

tff(func_def_857,type,
    lattic8265883725875713057ax_nat: set_nat > nat ).

tff(func_def_858,type,
    at_infinity_real: filter_real ).

tff(func_def_859,type,
    append_int: ( list_int * list_int ) > list_int ).

tff(func_def_860,type,
    append_nat: ( list_nat * list_nat ) > list_nat ).

tff(func_def_861,type,
    drop_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_862,type,
    last_nat: list_nat > nat ).

tff(func_def_863,type,
    linord2614967742042102400et_nat: set_nat > list_nat ).

tff(func_def_864,type,
    cons_int: ( int * list_int ) > list_int ).

tff(func_def_865,type,
    cons_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_866,type,
    nil_int: list_int ).

tff(func_def_867,type,
    nil_nat: list_nat ).

tff(func_def_868,type,
    hd_nat: list_nat > nat ).

tff(func_def_869,type,
    map_nat_nat: ( fun_nat_nat * list_nat ) > list_nat ).

tff(func_def_870,type,
    set_o2: list_o > set_o ).

tff(func_def_871,type,
    set_complex2: list_complex > set_complex ).

tff(func_def_872,type,
    set_int2: list_int > set_int ).

tff(func_def_873,type,
    set_list_nat2: list_list_nat > set_list_nat ).

tff(func_def_874,type,
    set_nat2: list_nat > set_nat ).

tff(func_def_875,type,
    set_Pr5518436109238095868at_nat: list_P8469869581646625389at_nat > set_Pr8693737435421807431at_nat ).

tff(func_def_876,type,
    set_real2: list_real > set_real ).

tff(func_def_877,type,
    set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).

tff(func_def_878,type,
    size_list_VEBT_VEBT: ( fun_VEBT_VEBT_nat * list_VEBT_VEBT ) > nat ).

tff(func_def_879,type,
    list_update_o: ( list_o * nat * $o ) > list_o ).

tff(func_def_880,type,
    list_update_complex: ( list_complex * nat * complex ) > list_complex ).

tff(func_def_881,type,
    list_update_int: ( list_int * nat * int ) > list_int ).

tff(func_def_882,type,
    list_update_nat: ( list_nat * nat * nat ) > list_nat ).

tff(func_def_883,type,
    list_u5003261594476800725at_nat: ( list_P8469869581646625389at_nat * nat * produc859450856879609959at_nat ) > list_P8469869581646625389at_nat ).

tff(func_def_884,type,
    list_update_real: ( list_real * nat * real ) > list_real ).

tff(func_def_885,type,
    list_u1324408373059187874T_VEBT: ( list_VEBT_VEBT * nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_886,type,
    nth_o: list_o > fun_nat_o ).

tff(func_def_887,type,
    nth_complex: list_complex > fun_nat_complex ).

tff(func_def_888,type,
    nth_int: list_int > fun_nat_int ).

tff(func_def_889,type,
    nth_list_nat: ( list_list_nat * nat ) > list_nat ).

tff(func_def_890,type,
    nth_nat: list_nat > fun_nat_nat ).

tff(func_def_891,type,
    nth_num: list_num > fun_nat_num ).

tff(func_def_892,type,
    nth_Product_prod_o_o: ( list_P4002435161011370285od_o_o * nat ) > product_prod_o_o ).

tff(func_def_893,type,
    nth_Pr1649062631805364268_o_int: ( list_P3795440434834930179_o_int * nat ) > product_prod_o_int ).

tff(func_def_894,type,
    nth_Pr5826913651314560976_o_nat: ( list_P6285523579766656935_o_nat * nat ) > product_prod_o_nat ).

tff(func_def_895,type,
    nth_Pr6777367263587873994T_VEBT: ( list_P7495141550334521929T_VEBT * nat ) > produc2504756804600209347T_VEBT ).

tff(func_def_896,type,
    nth_Pr8326237132889035090at_num: ( list_P1726324292696863441at_num * nat ) > product_prod_nat_num ).

tff(func_def_897,type,
    nth_Pr6456567536196504476um_num: ( list_P3744719386663036955um_num * nat ) > product_prod_num_num ).

tff(func_def_898,type,
    nth_Pr6744343527793145070at_nat: ( list_P8469869581646625389at_nat * nat ) > produc859450856879609959at_nat ).

tff(func_def_899,type,
    nth_Pr4606735188037164562VEBT_o: ( list_P3126845725202233233VEBT_o * nat ) > produc334124729049499915VEBT_o ).

tff(func_def_900,type,
    nth_Pr6837108013167703752BT_int: ( list_P4547456442757143711BT_int * nat ) > produc4894624898956917775BT_int ).

tff(func_def_901,type,
    nth_Pr1791586995822124652BT_nat: ( list_P7037539587688870467BT_nat * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_902,type,
    nth_Pr4953567300277697838T_VEBT: ( list_P7413028617227757229T_VEBT * nat ) > produc8243902056947475879T_VEBT ).

tff(func_def_903,type,
    nth_real: list_real > fun_nat_real ).

tff(func_def_904,type,
    nth_VEBT_VEBT: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_905,type,
    product_o_o: ( list_o * list_o ) > list_P4002435161011370285od_o_o ).

tff(func_def_906,type,
    product_o_int: ( list_o * list_int ) > list_P3795440434834930179_o_int ).

tff(func_def_907,type,
    product_o_nat: ( list_o * list_nat ) > list_P6285523579766656935_o_nat ).

tff(func_def_908,type,
    product_o_VEBT_VEBT: ( list_o * list_VEBT_VEBT ) > list_P7495141550334521929T_VEBT ).

tff(func_def_909,type,
    product_nat_o: ( list_nat * list_o ) > list_P7333126701944960589_nat_o ).

tff(func_def_910,type,
    product_nat_num: ( list_nat * list_num ) > list_P1726324292696863441at_num ).

tff(func_def_911,type,
    produc7156399406898700509T_VEBT: ( list_nat * list_VEBT_VEBT ) > list_P5647936690300460905T_VEBT ).

tff(func_def_912,type,
    product_num_num: ( list_num * list_num ) > list_P3744719386663036955um_num ).

tff(func_def_913,type,
    product_VEBT_VEBT_o: ( list_VEBT_VEBT * list_o ) > list_P3126845725202233233VEBT_o ).

tff(func_def_914,type,
    produc7292646706713671643BT_int: ( list_VEBT_VEBT * list_int ) > list_P4547456442757143711BT_int ).

tff(func_def_915,type,
    produc7295137177222721919BT_nat: ( list_VEBT_VEBT * list_nat ) > list_P7037539587688870467BT_nat ).

tff(func_def_916,type,
    produc4743750530478302277T_VEBT: ( list_VEBT_VEBT * list_VEBT_VEBT ) > list_P7413028617227757229T_VEBT ).

tff(func_def_917,type,
    replicate_int: ( nat * int ) > list_int ).

tff(func_def_918,type,
    replicate_nat: ( nat * nat ) > list_nat ).

tff(func_def_919,type,
    replicate_VEBT_VEBT: ( nat * vEBT_VEBT ) > list_VEBT_VEBT ).

tff(func_def_920,type,
    sorted_wrt_int: fun_int_fun_int_o > fun_list_int_o ).

tff(func_def_921,type,
    sorted_wrt_nat: fun_nat_fun_nat_o > fun_list_nat_o ).

tff(func_def_922,type,
    take_nat: ( nat * list_nat ) > list_nat ).

tff(func_def_923,type,
    upt: ( nat * nat ) > list_nat ).

tff(func_def_924,type,
    upto: ( int * int ) > list_int ).

tff(func_def_925,type,
    upto_aux: ( int * int * list_int ) > list_int ).

tff(func_def_926,type,
    upto_rel: fun_Pr9018117161326028078_int_o ).

tff(func_def_927,type,
    suc: fun_nat_nat ).

tff(func_def_928,type,
    compow_fun_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_929,type,
    case_nat_o: ( $o * fun_nat_o ) > fun_nat_o ).

tff(func_def_930,type,
    case_nat_nat: ( nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_931,type,
    case_nat_option_num: ( option_num * fun_nat_option_num * nat ) > option_num ).

tff(func_def_932,type,
    pred: fun_nat_nat ).

tff(func_def_933,type,
    semiri4939895301339042750nteger: fun_nat_Code_integer ).

tff(func_def_934,type,
    semiri8010041392384452111omplex: fun_nat_complex ).

tff(func_def_935,type,
    semiri4216267220026989637d_enat: nat > extended_enat ).

tff(func_def_936,type,
    semiri1314217659103216013at_int: fun_nat_int ).

tff(func_def_937,type,
    semiri1316708129612266289at_nat: fun_nat_nat ).

tff(func_def_938,type,
    semiri681578069525770553at_rat: fun_nat_rat ).

tff(func_def_939,type,
    semiri5074537144036343181t_real: fun_nat_real ).

tff(func_def_940,type,
    semiri2816024913162550771omplex: ( fun_complex_complex * nat ) > fun_complex_complex ).

tff(func_def_941,type,
    semiri8420488043553186161ux_int: ( fun_int_int * nat ) > fun_int_int ).

tff(func_def_942,type,
    semiri8422978514062236437ux_nat: fun_nat_nat > fun_nat_fun_nat_nat ).

tff(func_def_943,type,
    semiri7787848453975740701ux_rat: ( fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_944,type,
    semiri7260567687927622513x_real: fun_real_real > fun_na6724076748692969250l_real ).

tff(func_def_945,type,
    size_size_list_o: list_o > nat ).

tff(func_def_946,type,
    size_s3451745648224563538omplex: list_complex > nat ).

tff(func_def_947,type,
    size_size_list_int: list_int > nat ).

tff(func_def_948,type,
    size_s3023201423986296836st_nat: list_list_nat > nat ).

tff(func_def_949,type,
    size_size_list_nat: list_nat > nat ).

tff(func_def_950,type,
    size_size_list_num: list_num > nat ).

tff(func_def_951,type,
    size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).

tff(func_def_952,type,
    size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).

tff(func_def_953,type,
    size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).

tff(func_def_954,type,
    size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).

tff(func_def_955,type,
    size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).

tff(func_def_956,type,
    size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).

tff(func_def_957,type,
    size_s3679842834875189465at_nat: list_P8469869581646625389at_nat > nat ).

tff(func_def_958,type,
    size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).

tff(func_def_959,type,
    size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).

tff(func_def_960,type,
    size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).

tff(func_def_961,type,
    size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).

tff(func_def_962,type,
    size_size_list_real: list_real > nat ).

tff(func_def_963,type,
    size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).

tff(func_def_964,type,
    size_size_num: fun_num_nat ).

tff(func_def_965,type,
    size_size_option_nat: option_nat > nat ).

tff(func_def_966,type,
    size_size_option_num: option_num > nat ).

tff(func_def_967,type,
    size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).

tff(func_def_968,type,
    size_size_VEBT_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_969,type,
    nat_prod_decode_aux: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_970,type,
    nat_pr5047031295181774490ux_rel: fun_Pr2028404973800837934_nat_o ).

tff(func_def_971,type,
    nat_prod_encode: fun_Pr2602117396471556196at_nat ).

tff(func_def_972,type,
    nat_set_decode: nat > set_nat ).

tff(func_def_973,type,
    nat_set_encode: fun_set_nat_nat ).

tff(func_def_974,type,
    nat_triangle: fun_nat_nat ).

tff(func_def_975,type,
    root: fun_na6724076748692969250l_real ).

tff(func_def_976,type,
    sqrt: fun_real_real ).

tff(func_def_977,type,
    bitM: fun_num_num ).

tff(func_def_978,type,
    inc: fun_num_num ).

tff(func_def_979,type,
    neg_nu8804712462038260780nteger: code_integer > code_integer ).

tff(func_def_980,type,
    neg_nu7009210354673126013omplex: fun_complex_complex ).

tff(func_def_981,type,
    neg_numeral_dbl_int: fun_int_int ).

tff(func_def_982,type,
    neg_numeral_dbl_rat: fun_rat_rat ).

tff(func_def_983,type,
    neg_numeral_dbl_real: fun_real_real ).

tff(func_def_984,type,
    neg_nu7757733837767384882nteger: code_integer > code_integer ).

tff(func_def_985,type,
    neg_nu6511756317524482435omplex: fun_complex_complex ).

tff(func_def_986,type,
    neg_nu3811975205180677377ec_int: fun_int_int ).

tff(func_def_987,type,
    neg_nu3179335615603231917ec_rat: fun_rat_rat ).

tff(func_def_988,type,
    neg_nu6075765906172075777c_real: fun_real_real ).

tff(func_def_989,type,
    neg_nu5831290666863070958nteger: code_integer > code_integer ).

tff(func_def_990,type,
    neg_nu8557863876264182079omplex: fun_complex_complex ).

tff(func_def_991,type,
    neg_nu5851722552734809277nc_int: fun_int_int ).

tff(func_def_992,type,
    neg_nu5219082963157363817nc_rat: fun_rat_rat ).

tff(func_def_993,type,
    neg_nu8295874005876285629c_real: fun_real_real ).

tff(func_def_994,type,
    neg_numeral_sub_int: num > fun_num_int ).

tff(func_def_995,type,
    bit0: fun_num_num ).

tff(func_def_996,type,
    bit1: fun_num_num ).

tff(func_def_997,type,
    one: num ).

tff(func_def_998,type,
    case_num_option_num: ( option_num * fun_num_option_num * fun_num_option_num * num ) > option_num ).

tff(func_def_999,type,
    size_num: fun_num_nat ).

tff(func_def_1000,type,
    num_of_nat: fun_nat_num ).

tff(func_def_1001,type,
    numera6620942414471956472nteger: fun_num_Code_integer ).

tff(func_def_1002,type,
    numera6690914467698888265omplex: num > complex ).

tff(func_def_1003,type,
    numera1916890842035813515d_enat: num > extended_enat ).

tff(func_def_1004,type,
    numeral_numeral_int: fun_num_int ).

tff(func_def_1005,type,
    numeral_numeral_nat: fun_num_nat ).

tff(func_def_1006,type,
    numeral_numeral_rat: fun_num_rat ).

tff(func_def_1007,type,
    numeral_numeral_real: fun_num_real ).

tff(func_def_1008,type,
    pow: fun_num_fun_num_num ).

tff(func_def_1009,type,
    pred_numeral: fun_num_nat ).

tff(func_def_1010,type,
    sqr: fun_num_num ).

tff(func_def_1011,type,
    none_nat: option_nat ).

tff(func_def_1012,type,
    none_num: option_num ).

tff(func_def_1013,type,
    none_P5556105721700978146at_nat: option4927543243414619207at_nat ).

tff(func_def_1014,type,
    some_nat: nat > option_nat ).

tff(func_def_1015,type,
    some_num: num > option_num ).

tff(func_def_1016,type,
    some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).

tff(func_def_1017,type,
    case_o184042715313410164at_nat: ( $o * fun_Pr4796943543331071514_nat_o ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1018,type,
    case_option_int_num: ( int * fun_num_int * option_num ) > int ).

tff(func_def_1019,type,
    case_option_num_num: ( num * fun_num_num * option_num ) > num ).

tff(func_def_1020,type,
    case_o6005452278849405969um_num: ( option_num * fun_num_option_num * option_num ) > option_num ).

tff(func_def_1021,type,
    map_option_num_num: ( fun_num_num * option_num ) > option_num ).

tff(func_def_1022,type,
    size_option_nat: ( fun_nat_nat * option_nat ) > nat ).

tff(func_def_1023,type,
    size_option_num: ( fun_num_nat * option_num ) > nat ).

tff(func_def_1024,type,
    size_o8335143837870341156at_nat: ( fun_Pr2602117396471556196at_nat * option4927543243414619207at_nat ) > nat ).

tff(func_def_1025,type,
    the_nat: option_nat > nat ).

tff(func_def_1026,type,
    the_num: option_num > num ).

tff(func_def_1027,type,
    the_Pr8591224930841456533at_nat: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_1028,type,
    bot_bo4199563552545308370d_enat: extended_enat ).

tff(func_def_1029,type,
    bot_bot_nat: nat ).

tff(func_def_1030,type,
    bot_bot_set_complex: set_complex ).

tff(func_def_1031,type,
    bot_bot_set_int: set_int ).

tff(func_def_1032,type,
    bot_bot_set_nat: set_nat ).

tff(func_def_1033,type,
    bot_bot_set_num: set_num ).

tff(func_def_1034,type,
    bot_bot_set_rat: set_rat ).

tff(func_def_1035,type,
    bot_bot_set_real: set_real ).

tff(func_def_1036,type,
    bot_bot_set_set_int: set_set_int ).

tff(func_def_1037,type,
    bot_bot_fun_nat_o: fun_nat_o ).

tff(func_def_1038,type,
    ord_Least_nat: fun_nat_o > nat ).

tff(func_def_1039,type,
    ord_Least_real: fun_real_o > real ).

tff(func_def_1040,type,
    ord_le6747313008572928689nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_1041,type,
    ord_le72135733267957522d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_1042,type,
    ord_less_int: fun_int_fun_int_o ).

tff(func_def_1043,type,
    ord_less_nat: fun_nat_fun_nat_o ).

tff(func_def_1044,type,
    ord_less_num: fun_num_fun_num_o ).

tff(func_def_1045,type,
    ord_less_rat: fun_rat_fun_rat_o ).

tff(func_def_1046,type,
    ord_less_real: fun_real_fun_real_o ).

tff(func_def_1047,type,
    ord_less_set_complex: set_complex > fun_set_complex_o ).

tff(func_def_1048,type,
    ord_less_set_int: set_int > fun_set_int_o ).

tff(func_def_1049,type,
    ord_less_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_1050,type,
    ord_le3102999989581377725nteger: fun_Co2081214437782444048eger_o ).

tff(func_def_1051,type,
    ord_le2932123472753598470d_enat: extended_enat > fun_Extended_enat_o ).

tff(func_def_1052,type,
    ord_less_eq_int: fun_int_fun_int_o ).

tff(func_def_1053,type,
    ord_less_eq_nat: fun_nat_fun_nat_o ).

tff(func_def_1054,type,
    ord_less_eq_num: fun_num_fun_num_o ).

tff(func_def_1055,type,
    ord_less_eq_rat: fun_rat_fun_rat_o ).

tff(func_def_1056,type,
    ord_less_eq_real: fun_real_fun_real_o ).

tff(func_def_1057,type,
    ord_le211207098394363844omplex: set_complex > fun_set_complex_o ).

tff(func_def_1058,type,
    ord_less_eq_set_int: set_int > fun_set_int_o ).

tff(func_def_1059,type,
    ord_less_eq_set_nat: set_nat > fun_set_nat_o ).

tff(func_def_1060,type,
    ord_max_Code_integer: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1061,type,
    ord_ma741700101516333627d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1062,type,
    ord_max_int: int > fun_int_int ).

tff(func_def_1063,type,
    ord_max_nat: fun_nat_fun_nat_nat ).

tff(func_def_1064,type,
    ord_max_num: fun_num_fun_num_num ).

tff(func_def_1065,type,
    ord_max_rat: rat > fun_rat_rat ).

tff(func_def_1066,type,
    ord_max_real: fun_re7681423839302404990l_real ).

tff(func_def_1067,type,
    ord_max_set_int: ( set_int * set_int ) > set_int ).

tff(func_def_1068,type,
    ord_mi8085742599997312461d_enat: fun_Ex8341929632020906428d_enat ).

tff(func_def_1069,type,
    ord_min_nat: fun_nat_fun_nat_nat ).

tff(func_def_1070,type,
    order_Greatest_nat: fun_nat_o > nat ).

tff(func_def_1071,type,
    ordering_top_nat: ( fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > fun_nat_o ).

tff(func_def_1072,type,
    top_top_set_o: set_o ).

tff(func_def_1073,type,
    top_top_set_nat: set_nat ).

tff(func_def_1074,type,
    top_to1996260823553986621t_unit: set_Product_unit ).

tff(func_def_1075,type,
    top_top_set_real: set_real ).

tff(func_def_1076,type,
    top_top_set_char: set_char ).

tff(func_def_1077,type,
    power_8256067586552552935nteger: code_integer > fun_nat_Code_integer ).

tff(func_def_1078,type,
    power_power_complex: complex > fun_nat_complex ).

tff(func_def_1079,type,
    power_power_int: int > fun_nat_int ).

tff(func_def_1080,type,
    power_power_nat: fun_nat_fun_nat_nat ).

tff(func_def_1081,type,
    power_power_rat: rat > fun_nat_rat ).

tff(func_def_1082,type,
    power_power_real: fun_re4238438383274954274t_real ).

tff(func_def_1083,type,
    product_Pair_o_o: ( $o * $o ) > product_prod_o_o ).

tff(func_def_1084,type,
    product_Pair_o_int: ( $o * int ) > product_prod_o_int ).

tff(func_def_1085,type,
    product_Pair_o_nat: ( $o * nat ) > product_prod_o_nat ).

tff(func_def_1086,type,
    produc2982872950893828659T_VEBT: ( $o * vEBT_VEBT ) > produc2504756804600209347T_VEBT ).

tff(func_def_1087,type,
    produc6677183202524767010eger_o: ( code_integer * $o ) > produc6271795597528267376eger_o ).

tff(func_def_1088,type,
    produc1086072967326762835nteger: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1089,type,
    product_Pair_int_int: ( int * int ) > product_prod_int_int ).

tff(func_def_1090,type,
    product_Pair_nat_nat: nat > fun_na1476630412504255114at_nat ).

tff(func_def_1091,type,
    product_Pair_nat_num: ( nat * num ) > product_prod_nat_num ).

tff(func_def_1092,type,
    product_Pair_num_num: ( num * num ) > product_prod_num_num ).

tff(func_def_1093,type,
    produc5098337634421038937on_nat: ( option_nat * option_nat ) > produc4953844613479565601on_nat ).

tff(func_def_1094,type,
    produc8585076106096196333on_num: ( option_num * option_num ) > produc3447558737645232053on_num ).

tff(func_def_1095,type,
    produc488173922507101015at_nat: ( option4927543243414619207at_nat * option4927543243414619207at_nat ) > produc6121120109295599847at_nat ).

tff(func_def_1096,type,
    produc6161850002892822231at_nat: ( product_prod_nat_nat * product_prod_nat_nat ) > produc859450856879609959at_nat ).

tff(func_def_1097,type,
    produc8721562602347293563VEBT_o: ( vEBT_VEBT * $o ) > produc334124729049499915VEBT_o ).

tff(func_def_1098,type,
    produc736041933913180425BT_int: ( vEBT_VEBT * int ) > produc4894624898956917775BT_int ).

tff(func_def_1099,type,
    produc738532404422230701BT_nat: ( vEBT_VEBT * nat ) > produc9072475918466114483BT_nat ).

tff(func_def_1100,type,
    produc537772716801021591T_VEBT: ( vEBT_VEBT * vEBT_VEBT ) > produc8243902056947475879T_VEBT ).

tff(func_def_1101,type,
    produc7967433646104525454on_nat: ( fun_nat_fun_nat_o * produc4953844613479565601on_nat ) > produc1615844007061411358on_nat ).

tff(func_def_1102,type,
    produc6699827698519632094on_nat: ( fun_nat_fun_nat_nat * produc4953844613479565601on_nat ) > produc7004362771917097900on_nat ).

tff(func_def_1103,type,
    produc1140783415258738358on_num: ( fun_num_fun_num_o * produc3447558737645232053on_num ) > produc50614890452615238on_num ).

tff(func_def_1104,type,
    produc6360833703471310868on_num: ( fun_num_fun_num_num * produc3447558737645232053on_num ) > produc2703417854250991842on_num ).

tff(func_def_1105,type,
    produc3653971535690468304at_nat: ( fun_Pr2028404973800837934_nat_o * produc6121120109295599847at_nat ) > produc3739950874144486240at_nat ).

tff(func_def_1106,type,
    produc7814092408141220007at_nat: ( fun_Pr2477239776880934807at_nat * produc6121120109295599847at_nat ) > produc1260151622200656695at_nat ).

tff(func_def_1107,type,
    produc6499014454317279255nteger: fun_fu4800041728187187127nteger ).

tff(func_def_1108,type,
    produc1553301316500091796er_int: ( fun_Co1092983284983208416er_int * produc8923325533196201883nteger ) > int ).

tff(func_def_1109,type,
    produc1555791787009142072er_nat: ( fun_Co3583066429914935172er_nat * produc8923325533196201883nteger ) > nat ).

tff(func_def_1110,type,
    produc7336495610019696514er_num: ( fun_Co8521658056209057742er_num * produc8923325533196201883nteger ) > num ).

tff(func_def_1111,type,
    produc9125791028180074456eger_o: ( fun_Co3544761417380347684eger_o * produc8923325533196201883nteger ) > produc6271795597528267376eger_o ).

tff(func_def_1112,type,
    produc6916734918728496179nteger: ( fun_Co2470855966376689427nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1113,type,
    produc6771430404735790350plex_o: fun_co1148497455491383662plex_o > fun_Pr7716844367077540446plex_o ).

tff(func_def_1114,type,
    produc4947309494688390418_int_o: fun_int_fun_int_o > fun_Pr3238374608701176162_int_o ).

tff(func_def_1115,type,
    produc4245557441103728435nt_int: ( fun_in1696471567231710611nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1116,type,
    produc6081775807080527818_nat_o: fun_nat_fun_nat_o > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1117,type,
    produc1917071388513777916omplex: ( fun_na1142814060743658952omplex * product_prod_nat_nat ) > complex ).

tff(func_def_1118,type,
    produc6840382203811409530at_int: ( fun_nat_fun_nat_int * product_prod_nat_nat ) > int ).

tff(func_def_1119,type,
    produc6842872674320459806at_nat: fun_nat_fun_nat_nat > fun_Pr2602117396471556196at_nat ).

tff(func_def_1120,type,
    produc2626176000494625587at_nat: fun_na4138050610385705875at_nat > fun_Pr2118491707810114563at_nat ).

tff(func_def_1121,type,
    produc6207742614233964070at_rat: ( fun_nat_fun_nat_rat * product_prod_nat_nat ) > rat ).

tff(func_def_1122,type,
    produc1703576794950452218t_real: ( fun_nat_fun_nat_real * product_prod_nat_nat ) > real ).

tff(func_def_1123,type,
    produc6395135316500328296_nat_o: fun_na5914473681949881652_nat_o > fun_Pr2028404973800837934_nat_o ).

tff(func_def_1124,type,
    produc4528391901023682385at_nat: fun_na1668100129766719005at_nat > fun_Pr2477239776880934807at_nat ).

tff(func_def_1125,type,
    produc478579273971653890on_num: ( fun_na7595719129879163854on_num * product_prod_nat_num ) > option_num ).

tff(func_def_1126,type,
    produc5414030515140494994real_o: fun_real_fun_real_o > fun_Pr4814023175418636514real_o ).

tff(func_def_1127,type,
    produc8508995932063986495nteger: produc8923325533196201883nteger > code_integer ).

tff(func_def_1128,type,
    product_fst_int_int: product_prod_int_int > int ).

tff(func_def_1129,type,
    product_fst_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1130,type,
    product_snd_int_int: product_prod_int_int > int ).

tff(func_def_1131,type,
    product_snd_nat_nat: fun_Pr2602117396471556196at_nat ).

tff(func_def_1132,type,
    abs_Rat: product_prod_int_int > rat ).

tff(func_def_1133,type,
    fract: int > fun_int_rat ).

tff(func_def_1134,type,
    frct: product_prod_int_int > rat ).

tff(func_def_1135,type,
    rep_Rat: rat > product_prod_int_int ).

tff(func_def_1136,type,
    field_5140801741446780682s_real: set_real ).

tff(func_def_1137,type,
    field_7254667332652039916t_real: fun_rat_real ).

tff(func_def_1138,type,
    normalize: product_prod_int_int > product_prod_int_int ).

tff(func_def_1139,type,
    pcr_rat: fun_Pr7537129237977221859_rat_o ).

tff(func_def_1140,type,
    positive: fun_rat_o ).

tff(func_def_1141,type,
    quotient_of: rat > product_prod_int_int ).

tff(func_def_1142,type,
    ratrel: fun_Pr9018117161326028078_int_o ).

tff(func_def_1143,type,
    real2: fun_fun_nat_rat_real ).

tff(func_def_1144,type,
    cr_real: fun_fu1771228864347509049real_o ).

tff(func_def_1145,type,
    pcr_real: fun_fu1771228864347509049real_o ).

tff(func_def_1146,type,
    positive2: fun_real_o ).

tff(func_def_1147,type,
    realrel: fun_fu6714665071556184448_rat_o ).

tff(func_def_1148,type,
    rep_real: fun_real_fun_nat_rat ).

tff(func_def_1149,type,
    real_V2521375963428798218omplex: set_complex ).

tff(func_def_1150,type,
    real_V3694042436643373181omplex: complex > fun_complex_real ).

tff(func_def_1151,type,
    real_V975177566351809787t_real: fun_re7681423839302404990l_real ).

tff(func_def_1152,type,
    real_V1022390504157884413omplex: fun_complex_real ).

tff(func_def_1153,type,
    real_V7735802525324610683m_real: fun_real_real ).

tff(func_def_1154,type,
    real_V4546457046886955230omplex: fun_real_complex ).

tff(func_def_1155,type,
    real_V2046097035970521341omplex: real > fun_complex_complex ).

tff(func_def_1156,type,
    real_V1485227260804924795R_real: fun_re7681423839302404990l_real ).

tff(func_def_1157,type,
    algebr932160517623751201me_int: fun_int_fun_int_o ).

tff(func_def_1158,type,
    algebr934650988132801477me_nat: fun_nat_fun_nat_o ).

tff(func_def_1159,type,
    divide6298287555418463151nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1160,type,
    divide1717551699836669952omplex: complex > fun_complex_complex ).

tff(func_def_1161,type,
    divide_divide_int: fun_int_fun_int_int ).

tff(func_def_1162,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

tff(func_def_1163,type,
    divide_divide_rat: rat > fun_rat_rat ).

tff(func_def_1164,type,
    divide_divide_real: fun_re7681423839302404990l_real ).

tff(func_def_1165,type,
    dvd_dvd_Code_integer: fun_Co2081214437782444048eger_o ).

tff(func_def_1166,type,
    dvd_dvd_complex: fun_co1148497455491383662plex_o ).

tff(func_def_1167,type,
    dvd_dvd_int: fun_int_fun_int_o ).

tff(func_def_1168,type,
    dvd_dvd_nat: fun_nat_fun_nat_o ).

tff(func_def_1169,type,
    dvd_dvd_rat: fun_rat_fun_rat_o ).

tff(func_def_1170,type,
    dvd_dvd_real: fun_real_fun_real_o ).

tff(func_def_1171,type,
    modulo364778990260209775nteger: ( code_integer * code_integer ) > code_integer ).

tff(func_def_1172,type,
    modulo_modulo_int: int > fun_int_int ).

tff(func_def_1173,type,
    modulo_modulo_nat: fun_nat_fun_nat_nat ).

tff(func_def_1174,type,
    zero_n356916108424825756nteger: $o > code_integer ).

tff(func_def_1175,type,
    zero_n1201886186963655149omplex: $o > complex ).

tff(func_def_1176,type,
    zero_n2684676970156552555ol_int: fun_o_int ).

tff(func_def_1177,type,
    zero_n2687167440665602831ol_nat: $o > nat ).

tff(func_def_1178,type,
    zero_n2052037380579107095ol_rat: $o > rat ).

tff(func_def_1179,type,
    zero_n3304061248610475627l_real: $o > real ).

tff(func_def_1180,type,
    suminf_complex: fun_nat_complex > complex ).

tff(func_def_1181,type,
    suminf_int: fun_nat_int > int ).

tff(func_def_1182,type,
    suminf_nat: fun_nat_nat > nat ).

tff(func_def_1183,type,
    suminf_real: fun_nat_real > real ).

tff(func_def_1184,type,
    sums_complex: fun_nat_complex > fun_complex_o ).

tff(func_def_1185,type,
    sums_int: fun_nat_int > fun_int_o ).

tff(func_def_1186,type,
    sums_nat: fun_nat_nat > fun_nat_o ).

tff(func_def_1187,type,
    sums_real: fun_nat_real > fun_real_o ).

tff(func_def_1188,type,
    collect_o: fun_o_o > set_o ).

tff(func_def_1189,type,
    collect_Code_integer: fun_Code_integer_o > set_Code_integer ).

tff(func_def_1190,type,
    collect_complex: fun_complex_o > set_complex ).

tff(func_def_1191,type,
    collect_int: fun_int_o > set_int ).

tff(func_def_1192,type,
    collect_list_o: fun_list_o_o > set_list_o ).

tff(func_def_1193,type,
    collect_list_complex: fun_list_complex_o > set_list_complex ).

tff(func_def_1194,type,
    collect_list_int: fun_list_int_o > set_list_int ).

tff(func_def_1195,type,
    collect_list_nat: fun_list_nat_o > set_list_nat ).

tff(func_def_1196,type,
    collec5608196760682091941T_VEBT: fun_list_VEBT_VEBT_o > set_list_VEBT_VEBT ).

tff(func_def_1197,type,
    collect_nat: fun_nat_o > set_nat ).

tff(func_def_1198,type,
    collect_num: fun_num_o > set_num ).

tff(func_def_1199,type,
    collec8663557070575231912omplex: fun_Pr7716844367077540446plex_o > set_Pr5085853215250843933omplex ).

tff(func_def_1200,type,
    collec213857154873943460nt_int: fun_Pr3238374608701176162_int_o > set_Pr958786334691620121nt_int ).

tff(func_def_1201,type,
    collec7088162979684241874at_nat: fun_Pr363642936170290612_nat_o > set_Pr8693737435421807431at_nat ).

tff(func_def_1202,type,
    collec3799799289383736868l_real: fun_Pr4814023175418636514real_o > set_Pr6218003697084177305l_real ).

tff(func_def_1203,type,
    collect_rat: fun_rat_o > set_rat ).

tff(func_def_1204,type,
    collect_real: fun_real_o > set_real ).

tff(func_def_1205,type,
    collect_set_complex: fun_set_complex_o > set_set_complex ).

tff(func_def_1206,type,
    collect_set_int: fun_set_int_o > set_set_int ).

tff(func_def_1207,type,
    collect_set_nat: fun_set_nat_o > set_set_nat ).

tff(func_def_1208,type,
    collect_VEBT_VEBT: fun_VEBT_VEBT_o > set_VEBT_VEBT ).

tff(func_def_1209,type,
    image_int_int: ( fun_int_int * set_int ) > set_int ).

tff(func_def_1210,type,
    image_nat_int: ( fun_nat_int * set_nat ) > set_int ).

tff(func_def_1211,type,
    image_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1212,type,
    image_nat_real: ( fun_nat_real * set_nat ) > set_real ).

tff(func_def_1213,type,
    image_nat_char: ( fun_nat_char * set_nat ) > set_char ).

tff(func_def_1214,type,
    image_5971271580939081552omplex: ( fun_re3844104906058862192omplex * set_real ) > set_fi4554929511873752355omplex ).

tff(func_def_1215,type,
    image_2178119161166701260l_real: ( fun_re5512370375968561900l_real * set_real ) > set_fi7789364187291644575l_real ).

tff(func_def_1216,type,
    image_real_real: ( fun_real_real * set_real ) > set_real ).

tff(func_def_1217,type,
    image_char_nat: ( fun_char_nat * set_char ) > set_nat ).

tff(func_def_1218,type,
    insert_int: ( int * set_int ) > set_int ).

tff(func_def_1219,type,
    insert_nat: ( nat * set_nat ) > set_nat ).

tff(func_def_1220,type,
    insert_real: ( real * set_real ) > set_real ).

tff(func_def_1221,type,
    vimage_nat_nat: ( fun_nat_nat * set_nat ) > set_nat ).

tff(func_def_1222,type,
    set_fo1517530859248394432omplex: ( fun_na1591161823130732966omplex * nat * nat ) > fun_complex_complex ).

tff(func_def_1223,type,
    set_fo2581907887559384638at_int: ( fun_nat_fun_int_int * nat * nat ) > fun_int_int ).

tff(func_def_1224,type,
    set_fo2584398358068434914at_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1225,type,
    set_fo1949268297981939178at_rat: ( fun_nat_fun_rat_rat * nat * nat ) > fun_rat_rat ).

tff(func_def_1226,type,
    set_fo3111899725591712190t_real: ( fun_na6724076748692969250l_real * nat ) > fun_na6724076748692969250l_real ).

tff(func_def_1227,type,
    set_or1266510415728281911st_int: ( int * int ) > set_int ).

tff(func_def_1228,type,
    set_or1269000886237332187st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1229,type,
    set_or7049704709247886629st_num: ( num * num ) > set_num ).

tff(func_def_1230,type,
    set_or633870826150836451st_rat: ( rat * rat ) > set_rat ).

tff(func_def_1231,type,
    set_or1222579329274155063t_real: ( real * real ) > set_real ).

tff(func_def_1232,type,
    set_or370866239135849197et_int: ( set_int * set_int ) > set_set_int ).

tff(func_def_1233,type,
    set_or4662586982721622107an_int: ( int * int ) > set_int ).

tff(func_def_1234,type,
    set_or4665077453230672383an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1235,type,
    set_ord_atLeast_nat: nat > set_nat ).

tff(func_def_1236,type,
    set_ord_atLeast_real: real > set_real ).

tff(func_def_1237,type,
    set_ord_atMost_int: int > set_int ).

tff(func_def_1238,type,
    set_ord_atMost_nat: nat > set_nat ).

tff(func_def_1239,type,
    set_or6656581121297822940st_int: ( int * int ) > set_int ).

tff(func_def_1240,type,
    set_or6659071591806873216st_nat: ( nat * nat ) > set_nat ).

tff(func_def_1241,type,
    set_or5832277885323065728an_int: ( int * int ) > set_int ).

tff(func_def_1242,type,
    set_or5834768355832116004an_nat: ( nat * nat ) > set_nat ).

tff(func_def_1243,type,
    set_or1633881224788618240n_real: ( real * real ) > set_real ).

tff(func_def_1244,type,
    set_or1210151606488870762an_nat: nat > set_nat ).

tff(func_def_1245,type,
    set_or5849166863359141190n_real: real > set_real ).

tff(func_def_1246,type,
    set_ord_lessThan_int: int > set_int ).

tff(func_def_1247,type,
    set_ord_lessThan_nat: nat > set_nat ).

tff(func_def_1248,type,
    set_ord_lessThan_num: num > set_num ).

tff(func_def_1249,type,
    set_ord_lessThan_rat: rat > set_rat ).

tff(func_def_1250,type,
    set_or5984915006950818249n_real: real > set_real ).

tff(func_def_1251,type,
    ascii_of: char > char ).

tff(func_def_1252,type,
    char2: ( $o * $o * $o * $o * $o * $o * $o * $o ) > char ).

tff(func_def_1253,type,
    comm_s629917340098488124ar_nat: fun_char_nat ).

tff(func_def_1254,type,
    integer_of_char: char > code_integer ).

tff(func_def_1255,type,
    unique3096191561947761185of_nat: fun_nat_char ).

tff(func_def_1256,type,
    topolo2177554685111907308n_real: ( real * set_real ) > filter_real ).

tff(func_def_1257,type,
    topolo2815343760600316023s_real: real > filter_real ).

tff(func_def_1258,type,
    topolo896644834953643431omplex: filter6041513312241820739omplex ).

tff(func_def_1259,type,
    topolo1511823702728130853y_real: filter2146258269922977983l_real ).

tff(func_def_1260,type,
    arccos: fun_real_real ).

tff(func_def_1261,type,
    arcosh_real: fun_real_real ).

tff(func_def_1262,type,
    arcsin: fun_real_real ).

tff(func_def_1263,type,
    arctan: fun_real_real ).

tff(func_def_1264,type,
    arsinh_real: fun_real_real ).

tff(func_def_1265,type,
    artanh_real: fun_real_real ).

tff(func_def_1266,type,
    cos_complex: fun_complex_complex ).

tff(func_def_1267,type,
    cos_real: fun_real_real ).

tff(func_def_1268,type,
    cos_coeff: fun_nat_real ).

tff(func_def_1269,type,
    cosh_real: fun_real_real ).

tff(func_def_1270,type,
    cot_real: fun_real_real ).

tff(func_def_1271,type,
    diffs_complex: fun_nat_complex > fun_nat_complex ).

tff(func_def_1272,type,
    diffs_int: fun_nat_int > fun_nat_int ).

tff(func_def_1273,type,
    diffs_rat: fun_nat_rat > fun_nat_rat ).

tff(func_def_1274,type,
    diffs_real: fun_nat_real > fun_nat_real ).

tff(func_def_1275,type,
    exp_complex: fun_complex_complex ).

tff(func_def_1276,type,
    exp_real: fun_real_real ).

tff(func_def_1277,type,
    ln_ln_real: fun_real_real ).

tff(func_def_1278,type,
    log: fun_re7681423839302404990l_real ).

tff(func_def_1279,type,
    pi: real ).

tff(func_def_1280,type,
    powr_real: fun_re7681423839302404990l_real ).

tff(func_def_1281,type,
    sin_complex: fun_complex_complex ).

tff(func_def_1282,type,
    sin_real: fun_real_real ).

tff(func_def_1283,type,
    sin_coeff: fun_nat_real ).

tff(func_def_1284,type,
    sinh_real: fun_real_real ).

tff(func_def_1285,type,
    tan_real: fun_real_real ).

tff(func_def_1286,type,
    tanh_real: fun_real_real ).

tff(func_def_1287,type,
    vEBT_Leaf: ( $o * $o ) > vEBT_VEBT ).

tff(func_def_1288,type,
    vEBT_Node: ( option4927543243414619207at_nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1289,type,
    vEBT_size_VEBT: fun_VEBT_VEBT_nat ).

tff(func_def_1290,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > fun_nat_o ).

tff(func_def_1291,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

tff(func_def_1292,type,
    vEBT_V5917875025757280293ildren: ( nat * list_VEBT_VEBT ) > fun_nat_o ).

tff(func_def_1293,type,
    vEBT_VEBT_low: fun_nat_fun_nat_nat ).

tff(func_def_1294,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_o ).

tff(func_def_1295,type,
    vEBT_V4351362008482014158ma_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1296,type,
    vEBT_V5719532721284313246member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1297,type,
    vEBT_V5765760719290551771er_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1298,type,
    vEBT_VEBT_valid: vEBT_VEBT > fun_nat_o ).

tff(func_def_1299,type,
    vEBT_VEBT_valid_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1300,type,
    vEBT_invar_vebt: vEBT_VEBT > fun_nat_o ).

tff(func_def_1301,type,
    vEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1302,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

tff(func_def_1303,type,
    vEBT_v4011308405150292612up_rel: fun_nat_fun_nat_o ).

tff(func_def_1304,type,
    vEBT_vebt_insert: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_1305,type,
    vEBT_vebt_insert_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1306,type,
    vEBT_VEBT_bit_concat: nat > fun_nat_fun_nat_nat ).

tff(func_def_1307,type,
    vEBT_VEBT_minNull: fun_VEBT_VEBT_o ).

tff(func_def_1308,type,
    vEBT_V6963167321098673237ll_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1309,type,
    vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).

tff(func_def_1310,type,
    vEBT_vebt_member: vEBT_VEBT > fun_nat_o ).

tff(func_def_1311,type,
    vEBT_vebt_member_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1312,type,
    vEBT_VEBT_add: fun_op7210469962420818650on_nat ).

tff(func_def_1313,type,
    vEBT_VEBT_greater: fun_op5794009454290973322_nat_o ).

tff(func_def_1314,type,
    vEBT_VEBT_less: fun_op5794009454290973322_nat_o ).

tff(func_def_1315,type,
    vEBT_VEBT_lesseq: fun_op5794009454290973322_nat_o ).

tff(func_def_1316,type,
    vEBT_VEBT_max_in_set: set_nat > fun_nat_o ).

tff(func_def_1317,type,
    vEBT_VEBT_min_in_set: set_nat > fun_nat_o ).

tff(func_def_1318,type,
    vEBT_VEBT_mul: fun_op7210469962420818650on_nat ).

tff(func_def_1319,type,
    vEBT_V4262088993061758097ft_nat: fun_nat_fun_nat_nat > fun_op7210469962420818650on_nat ).

tff(func_def_1320,type,
    vEBT_V819420779217536731ft_num: ( fun_num_fun_num_num * option_num * option_num ) > option_num ).

tff(func_def_1321,type,
    vEBT_V1502963449132264192at_nat: ( fun_Pr2477239776880934807at_nat * option4927543243414619207at_nat * option4927543243414619207at_nat ) > option4927543243414619207at_nat ).

tff(func_def_1322,type,
    vEBT_VEBT_power: fun_op7210469962420818650on_nat ).

tff(func_def_1323,type,
    vEBT_vebt_maxt: vEBT_VEBT > option_nat ).

tff(func_def_1324,type,
    vEBT_vebt_maxt_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1325,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

tff(func_def_1326,type,
    vEBT_vebt_mint_rel: fun_VE2962686792283380846VEBT_o ).

tff(func_def_1327,type,
    vEBT_is_succ_in_set: set_nat > fun_nat_fun_nat_o ).

tff(func_def_1328,type,
    vEBT_vebt_succ: ( vEBT_VEBT * nat ) > option_nat ).

tff(func_def_1329,type,
    vEBT_vebt_succ_rel: fun_Pr8877776288780692068_nat_o ).

tff(func_def_1330,type,
    accp_nat: fun_nat_fun_nat_o > fun_nat_o ).

tff(func_def_1331,type,
    accp_VEBT_VEBT: fun_VE2962686792283380846VEBT_o > fun_VEBT_VEBT_o ).

tff(func_def_1332,type,
    aa_o_int: ( fun_o_int * $o ) > int ).

tff(func_def_1333,type,
    aa_o_fun_o_o: ( fun_o_fun_o_o * $o ) > fun_o_o ).

tff(func_def_1334,type,
    aa_Cod1783974652533396728nteger: ( fun_Co8499238673658658103nteger * code_integer ) > code_integer ).

tff(func_def_1335,type,
    aa_Code_integer_int: ( fun_Code_integer_int * code_integer ) > int ).

tff(func_def_1336,type,
    aa_Code_integer_nat: ( fun_Code_integer_nat * code_integer ) > nat ).

tff(func_def_1337,type,
    aa_Code_integer_num: ( fun_Code_integer_num * code_integer ) > num ).

tff(func_def_1338,type,
    aa_Cod3168588076859124107eger_o: ( fun_Co1766037875893669450eger_o * code_integer ) > produc6271795597528267376eger_o ).

tff(func_def_1339,type,
    aa_Cod6977894654539884864nteger: ( fun_Co6597186368970283863nteger * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1340,type,
    aa_Cod326357343816142457eger_o: ( fun_Co2081214437782444048eger_o * code_integer ) > fun_Code_integer_o ).

tff(func_def_1341,type,
    aa_Cod4161879620478718930nteger: ( fun_Co1981900195452921617nteger * code_integer ) > fun_Co8499238673658658103nteger ).

tff(func_def_1342,type,
    aa_Cod1242632294114111009er_int: ( fun_Co1092983284983208416er_int * code_integer ) > fun_Code_integer_int ).

tff(func_def_1343,type,
    aa_Cod5420483313623307717er_nat: ( fun_Co3583066429914935172er_nat * code_integer ) > fun_Code_integer_nat ).

tff(func_def_1344,type,
    aa_Cod6128727250572145423er_num: ( fun_Co8521658056209057742er_num * code_integer ) > fun_Code_integer_num ).

tff(func_def_1345,type,
    aa_Cod1096751537565085541eger_o: ( fun_Co3544761417380347684eger_o * code_integer ) > fun_Co1766037875893669450eger_o ).

tff(func_def_1346,type,
    aa_Cod8380929501330563836nteger: ( fun_Co2470855966376689427nteger * code_integer ) > fun_Co6597186368970283863nteger ).

tff(func_def_1347,type,
    aa_com4217951221296830281nteger: ( fun_co8153928105989009288nteger * complex ) > code_integer ).

tff(func_def_1348,type,
    aa_complex_complex: ( fun_complex_complex * complex ) > complex ).

tff(func_def_1349,type,
    aa_complex_int: ( fun_complex_int * complex ) > int ).

tff(func_def_1350,type,
    aa_complex_nat: ( fun_complex_nat * complex ) > nat ).

tff(func_def_1351,type,
    aa_complex_rat: ( fun_complex_rat * complex ) > rat ).

tff(func_def_1352,type,
    aa_complex_real: ( fun_complex_real * complex ) > real ).

tff(func_def_1353,type,
    aa_com5808801942499186519plex_o: ( fun_co1148497455491383662plex_o * complex ) > fun_complex_o ).

tff(func_def_1354,type,
    aa_com3342990543769683525omplex: ( fun_co7673397065115134084omplex * complex ) > fun_complex_complex ).

tff(func_def_1355,type,
    aa_com8181001469867462503omplex: ( fun_co3258106519541737638omplex * complex ) > fun_nat_complex ).

tff(func_def_1356,type,
    aa_com20334259897932645t_real: ( fun_co8378349014452122532t_real * complex ) > fun_nat_real ).

tff(func_def_1357,type,
    aa_com4347742694490471604omplex: ( fun_co6883864892131739507omplex * complex ) > fun_na1142814060743658952omplex ).

tff(func_def_1358,type,
    aa_Ext7969882492699152700d_enat: ( fun_Ex5852502975177633731d_enat * extended_enat ) > extended_enat ).

tff(func_def_1359,type,
    aa_Ext3475206891998675565d_enat: ( fun_Ex8341929632020906428d_enat * extended_enat ) > fun_Ex5852502975177633731d_enat ).

tff(func_def_1360,type,
    aa_int_Code_integer: ( fun_int_Code_integer * int ) > code_integer ).

tff(func_def_1361,type,
    aa_int_complex: ( fun_int_complex * int ) > complex ).

tff(func_def_1362,type,
    aa_int_int: ( fun_int_int * int ) > int ).

tff(func_def_1363,type,
    aa_int_nat: ( fun_int_nat * int ) > nat ).

tff(func_def_1364,type,
    aa_int_num: ( fun_int_num * int ) > num ).

tff(func_def_1365,type,
    aa_int7462565939943104719nt_int: ( fun_in4211310926729683942nt_int * int ) > product_prod_int_int ).

tff(func_def_1366,type,
    aa_int_rat: ( fun_int_rat * int ) > rat ).

tff(func_def_1367,type,
    aa_int_real: ( fun_int_real * int ) > real ).

tff(func_def_1368,type,
    aa_int_fun_int_o: ( fun_int_fun_int_o * int ) > fun_int_o ).

tff(func_def_1369,type,
    aa_int_fun_int_int: ( fun_int_fun_int_int * int ) > fun_int_int ).

tff(func_def_1370,type,
    aa_int2565445551602696444nt_int: ( fun_in1696471567231710611nt_int * int ) > fun_in4211310926729683942nt_int ).

tff(func_def_1371,type,
    aa_int2464330468366073224_int_o: ( fun_in5570076352459579423_int_o * int ) > fun_int_fun_int_o ).

tff(func_def_1372,type,
    aa_int1966403025003302569nt_int: ( fun_in2204242111582549184nt_int * int ) > fun_in1696471567231710611nt_int ).

tff(func_def_1373,type,
    aa_int_fun_nat_int: ( fun_int_fun_nat_int * int ) > fun_nat_int ).

tff(func_def_1374,type,
    aa_int431785320988601264at_int: ( fun_in6793278964266839919at_int * int ) > fun_nat_fun_nat_int ).

tff(func_def_1375,type,
    aa_lis144135085560928841_nat_o: ( fun_li6914387844523535256_nat_o * list_VEBT_VEBT ) > fun_VE2573032740582156747_nat_o ).

tff(func_def_1376,type,
    aa_nat_Code_integer: ( fun_nat_Code_integer * nat ) > code_integer ).

tff(func_def_1377,type,
    aa_nat_complex: ( fun_nat_complex * nat ) > complex ).

tff(func_def_1378,type,
    aa_nat_int: ( fun_nat_int * nat ) > int ).

tff(func_def_1379,type,
    aa_nat_nat: ( fun_nat_nat * nat ) > nat ).

tff(func_def_1380,type,
    aa_nat_num: ( fun_nat_num * nat ) > num ).

tff(func_def_1381,type,
    aa_nat_option_num: ( fun_nat_option_num * nat ) > option_num ).

tff(func_def_1382,type,
    aa_nat7603221163087113075at_nat: ( fun_na1476630412504255114at_nat * nat ) > product_prod_nat_nat ).

tff(func_def_1383,type,
    aa_nat_rat: ( fun_nat_rat * nat ) > rat ).

tff(func_def_1384,type,
    aa_nat_real: ( fun_nat_real * nat ) > real ).

tff(func_def_1385,type,
    aa_nat_set_int: ( fun_nat_set_int * nat ) > set_int ).

tff(func_def_1386,type,
    aa_nat_fun_o_o: ( fun_nat_fun_o_o * nat ) > fun_o_o ).

tff(func_def_1387,type,
    aa_nat_fun_complex_o: ( fun_na1554462459066888140plex_o * nat ) > fun_complex_o ).

tff(func_def_1388,type,
    aa_nat3829984526574172007omplex: ( fun_na1591161823130732966omplex * nat ) > fun_complex_complex ).

tff(func_def_1389,type,
    aa_nat2301396582920332468omplex: ( fun_na6632006986671646835omplex * nat ) > fun_co3258106519541737638omplex ).

tff(func_def_1390,type,
    aa_nat_fun_int_o: ( fun_nat_fun_int_o * nat ) > fun_int_o ).

tff(func_def_1391,type,
    aa_nat_fun_int_int: ( fun_nat_fun_int_int * nat ) > fun_int_int ).

tff(func_def_1392,type,
    aa_nat6704147566042551216at_int: ( fun_na2382631619178260847at_int * nat ) > fun_int_fun_nat_int ).

tff(func_def_1393,type,
    aa_nat_fun_list_o_o: ( fun_nat_fun_list_o_o * nat ) > fun_list_o_o ).

tff(func_def_1394,type,
    aa_nat5940423528545770789plex_o: ( fun_na2418085665696872764plex_o * nat ) > fun_list_complex_o ).

tff(func_def_1395,type,
    aa_nat3638697132715757351_int_o: ( fun_na7306406234920378942_int_o * nat ) > fun_list_int_o ).

tff(func_def_1396,type,
    aa_nat5883842100386203267_nat_o: ( fun_na7234455742697417626_nat_o * nat ) > fun_list_nat_o ).

tff(func_def_1397,type,
    aa_nat1274389614848952367VEBT_o: ( fun_na5873943405026509934VEBT_o * nat ) > fun_list_VEBT_VEBT_o ).

tff(func_def_1398,type,
    aa_nat_fun_nat_o: ( fun_nat_fun_nat_o * nat ) > fun_nat_o ).

tff(func_def_1399,type,
    aa_nat6454746962644518025omplex: ( fun_na1142814060743658952omplex * nat ) > fun_nat_complex ).

tff(func_def_1400,type,
    aa_nat_fun_nat_int: ( fun_nat_fun_nat_int * nat ) > fun_nat_int ).

tff(func_def_1401,type,
    aa_nat_fun_nat_nat: ( fun_nat_fun_nat_nat * nat ) > fun_nat_nat ).

tff(func_def_1402,type,
    aa_nat8803788312118491388at_nat: ( fun_na4138050610385705875at_nat * nat ) > fun_na1476630412504255114at_nat ).

tff(func_def_1403,type,
    aa_nat_fun_nat_rat: ( fun_nat_fun_nat_rat * nat ) > fun_nat_rat ).

tff(func_def_1404,type,
    aa_nat_fun_nat_real: ( fun_nat_fun_nat_real * nat ) > fun_nat_real ).

tff(func_def_1405,type,
    aa_nat8314798964848609180_nat_o: ( fun_na7928631014926962227_nat_o * nat ) > fun_nat_fun_nat_o ).

tff(func_def_1406,type,
    aa_nat1293065384339088724at_int: ( fun_na7654559027617327379at_int * nat ) > fun_nat_fun_nat_int ).

tff(func_def_1407,type,
    aa_nat3783148529270815480at_nat: ( fun_na3244735409550470327at_nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1408,type,
    aa_nat4158579785191972357at_nat: ( fun_na4143055713577223196at_nat * nat ) > fun_na4138050610385705875at_nat ).

tff(func_def_1409,type,
    aa_nat4085805313368488148t_real: ( fun_na7718645245721260691t_real * nat ) > fun_nat_fun_nat_real ).

tff(func_def_1410,type,
    aa_nat7293937527460703909_nat_o: ( fun_na927404270896789692_nat_o * nat ) > fun_na7928631014926962227_nat_o ).

tff(func_def_1411,type,
    aa_nat4259715169212259317_nat_o: ( fun_na5914473681949881652_nat_o * nat ) > fun_na3970208099681795815_nat_o ).

tff(func_def_1412,type,
    aa_nat5682243440470347102at_nat: ( fun_na1668100129766719005at_nat * nat ) > fun_na8713714802964096592at_nat ).

tff(func_def_1413,type,
    aa_nat3713591252005393295on_num: ( fun_na7595719129879163854on_num * nat ) > fun_num_option_num ).

tff(func_def_1414,type,
    aa_nat7695548938202568488_nat_o: ( fun_na3970208099681795815_nat_o * nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1415,type,
    aa_nat7997280740862404369at_nat: ( fun_na8713714802964096592at_nat * nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1416,type,
    aa_nat_fun_rat_rat: ( fun_nat_fun_rat_rat * nat ) > fun_rat_rat ).

tff(func_def_1417,type,
    aa_nat298952458717073160at_rat: ( fun_na1148497095348402375at_rat * nat ) > fun_rat_fun_nat_rat ).

tff(func_def_1418,type,
    aa_nat_fun_real_real: ( fun_na6724076748692969250l_real * nat ) > fun_real_real ).

tff(func_def_1419,type,
    aa_nat1308781354268537904t_real: ( fun_na5225841814499866095t_real * nat ) > fun_re4238438383274954274t_real ).

tff(func_def_1420,type,
    aa_nat1925708948643195573VEBT_o: ( fun_na6887940067898170868VEBT_o * nat ) > fun_VEBT_VEBT_o ).

tff(func_def_1421,type,
    aa_num_Code_integer: ( fun_num_Code_integer * num ) > code_integer ).

tff(func_def_1422,type,
    aa_num_int: ( fun_num_int * num ) > int ).

tff(func_def_1423,type,
    aa_num_nat: ( fun_num_nat * num ) > nat ).

tff(func_def_1424,type,
    aa_num_num: ( fun_num_num * num ) > num ).

tff(func_def_1425,type,
    aa_num_option_num: ( fun_num_option_num * num ) > option_num ).

tff(func_def_1426,type,
    aa_num_rat: ( fun_num_rat * num ) > rat ).

tff(func_def_1427,type,
    aa_num_real: ( fun_num_real * num ) > real ).

tff(func_def_1428,type,
    aa_num_fun_num_o: ( fun_num_fun_num_o * num ) > fun_num_o ).

tff(func_def_1429,type,
    aa_num_fun_num_int: ( fun_num_fun_num_int * num ) > fun_num_int ).

tff(func_def_1430,type,
    aa_num_fun_num_num: ( fun_num_fun_num_num * num ) > fun_num_num ).

tff(func_def_1431,type,
    aa_num6390622462783740633on_num: ( fun_nu1049378303802735384on_num * num ) > fun_num_option_num ).

tff(func_def_1432,type,
    aa_opt1882420858203594238on_nat: ( fun_op1272087013972230845on_nat * option_nat ) > option_nat ).

tff(func_def_1433,type,
    aa_opt4319133605541840243_nat_o: ( fun_op5794009454290973322_nat_o * option_nat ) > fun_option_nat_o ).

tff(func_def_1434,type,
    aa_opt7711074727033721499on_nat: ( fun_op7210469962420818650on_nat * option_nat ) > fun_op1272087013972230845on_nat ).

tff(func_def_1435,type,
    aa_opt5077314168511351209_num_o: ( fun_op6120599277751319488_num_o * option_nat ) > fun_option_num_o ).

tff(func_def_1436,type,
    aa_opt120907569613471666_nat_o: ( fun_op3832135881594366065_nat_o * option_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1437,type,
    aa_opt7915830422195272873_nat_o: ( fun_op167334234089630144_nat_o * option_num ) > fun_option_nat_o ).

tff(func_def_1438,type,
    aa_opt8674010985164783839_num_o: ( fun_op493924057549976310_num_o * option_num ) > fun_option_num_o ).

tff(func_def_1439,type,
    aa_opt1662640216596507900_nat_o: ( fun_op5373868528577402299_nat_o * option_num ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1440,type,
    aa_opt7110402928079307526_nat_o: ( fun_op7326680082016885773_nat_o * option4927543243414619207at_nat ) > fun_option_nat_o ).

tff(func_def_1441,type,
    aa_opt7868583491048818492_num_o: ( fun_op7653269905477231939_num_o * option4927543243414619207at_nat ) > fun_option_num_o ).

tff(func_def_1442,type,
    aa_opt9039718665754746463_nat_o: ( fun_op1221328669798608686_nat_o * option4927543243414619207at_nat ) > fun_op8028897214545316308_nat_o ).

tff(func_def_1443,type,
    aa_Pro4693618923521437820nteger: ( fun_Pr5876161306168176259nteger * produc8923325533196201883nteger ) > produc8923325533196201883nteger ).

tff(func_def_1444,type,
    aa_Pro6970504127699319548nt_int: ( fun_Pr2478283820680522243nt_int * product_prod_int_int ) > product_prod_int_int ).

tff(func_def_1445,type,
    aa_Pro3952998155787061599_int_o: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > fun_Pr3238374608701176162_int_o ).

tff(func_def_1446,type,
    aa_Pro4124234152028750080nt_int: ( fun_Pr1308109350235310159nt_int * product_prod_int_int ) > fun_Pr2478283820680522243nt_int ).

tff(func_def_1447,type,
    aa_Pro4243173770044397973at_nat: ( fun_Pr2602117396471556196at_nat * product_prod_nat_nat ) > nat ).

tff(func_def_1448,type,
    aa_Pro262675715343573244at_nat: ( fun_Pr2118491707810114563at_nat * product_prod_nat_nat ) > product_prod_nat_nat ).

tff(func_def_1449,type,
    aa_Pro2912763917461432128_int_o: ( fun_Pr4738963024209204295_int_o * product_prod_nat_nat ) > fun_int_o ).

tff(func_def_1450,type,
    aa_Pro989595756709598047_nat_o: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > fun_Pr4796943543331071514_nat_o ).

tff(func_def_1451,type,
    aa_Pro8023792847356852296at_nat: ( fun_Pr2477239776880934807at_nat * product_prod_nat_nat ) > fun_Pr2118491707810114563at_nat ).

tff(func_def_1452,type,
    aa_Pro6679179645186981721omplex: ( fun_Pr3802883763772590888omplex * produc859450856879609959at_nat ) > complex ).

tff(func_def_1453,type,
    aa_Pro7677444533209344123at_nat: ( fun_Pr2871540613828922186at_nat * produc859450856879609959at_nat ) > nat ).

tff(func_def_1454,type,
    aa_Pro1688022638339188183t_real: ( fun_Pr4526765928551516326t_real * produc859450856879609959at_nat ) > real ).

tff(func_def_1455,type,
    aa_rat_int: ( fun_rat_int * rat ) > int ).

tff(func_def_1456,type,
    aa_rat_nat: ( fun_rat_nat * rat ) > nat ).

tff(func_def_1457,type,
    aa_rat_num: ( fun_rat_num * rat ) > num ).

tff(func_def_1458,type,
    aa_rat_rat: ( fun_rat_rat * rat ) > rat ).

tff(func_def_1459,type,
    aa_rat_real: ( fun_rat_real * rat ) > real ).

tff(func_def_1460,type,
    aa_rat_fun_nat_rat: ( fun_rat_fun_nat_rat * rat ) > fun_nat_rat ).

tff(func_def_1461,type,
    aa_rat250263598611652360at_rat: ( fun_ra5513060666784058567at_rat * rat ) > fun_nat_fun_nat_rat ).

tff(func_def_1462,type,
    aa_rat_fun_rat_o: ( fun_rat_fun_rat_o * rat ) > fun_rat_o ).

tff(func_def_1463,type,
    aa_rat_fun_rat_rat: ( fun_rat_fun_rat_rat * rat ) > fun_rat_rat ).

tff(func_def_1464,type,
    aa_real_Code_integer: ( fun_re6978948838062957830nteger * real ) > code_integer ).

tff(func_def_1465,type,
    aa_real_complex: ( fun_real_complex * real ) > complex ).

tff(func_def_1466,type,
    aa_rea5117059003799598681omplex: ( fun_re3844104906058862192omplex * real ) > filter6041513312241820739omplex ).

tff(func_def_1467,type,
    aa_rea5428163979925208277l_real: ( fun_re5512370375968561900l_real * real ) > filter2146258269922977983l_real ).

tff(func_def_1468,type,
    aa_real_int: ( fun_real_int * real ) > int ).

tff(func_def_1469,type,
    aa_real_nat: ( fun_real_nat * real ) > nat ).

tff(func_def_1470,type,
    aa_real_num: ( fun_real_num * real ) > num ).

tff(func_def_1471,type,
    aa_real_rat: ( fun_real_rat * real ) > rat ).

tff(func_def_1472,type,
    aa_real_real: ( fun_real_real * real ) > real ).

tff(func_def_1473,type,
    aa_real_fun_nat_rat: ( fun_real_fun_nat_rat * real ) > fun_nat_rat ).

tff(func_def_1474,type,
    aa_real_fun_nat_real: ( fun_re4238438383274954274t_real * real ) > fun_nat_real ).

tff(func_def_1475,type,
    aa_rea6853821027689443120t_real: ( fun_re4756235295228751087t_real * real ) > fun_nat_fun_nat_real ).

tff(func_def_1476,type,
    aa_rea1103652080130114956l_real: ( fun_re4112884445705685835l_real * real ) > fun_na6724076748692969250l_real ).

tff(func_def_1477,type,
    aa_real_fun_real_o: ( fun_real_fun_real_o * real ) > fun_real_o ).

tff(func_def_1478,type,
    aa_rea7340605660300375871l_real: ( fun_re7681423839302404990l_real * real ) > fun_real_real ).

tff(func_def_1479,type,
    aa_rea7841385751566875788t_real: ( fun_re8542384036533109323t_real * real ) > fun_re4238438383274954274t_real ).

tff(func_def_1480,type,
    aa_set1742385355640705825plex_o: ( fun_se9162176452187397432plex_o * set_complex ) > fun_complex_o ).

tff(func_def_1481,type,
    aa_set7743095458595710203omplex: ( fun_se7512233253626865466omplex * set_complex ) > fun_complex_complex ).

tff(func_def_1482,type,
    aa_set_int_fun_int_o: ( fun_se867122708194164540_int_o * set_int ) > fun_int_o ).

tff(func_def_1483,type,
    aa_set7310040872927613301nt_int: ( fun_se4827636401813558708nt_int * set_int ) > fun_int_int ).

tff(func_def_1484,type,
    aa_set6675653781276780861_nat_o: ( fun_se1865396762483378772_nat_o * set_list_nat ) > fun_list_nat_o ).

tff(func_def_1485,type,
    aa_set_nat_nat: ( fun_set_nat_nat * set_nat ) > nat ).

tff(func_def_1486,type,
    aa_set_nat_fun_nat_o: ( fun_se382663106265794036_nat_o * set_nat ) > fun_nat_o ).

tff(func_def_1487,type,
    aa_set6537093552120046177at_nat: ( fun_se1179353343636554400at_nat * set_nat ) > fun_nat_nat ).

tff(func_def_1488,type,
    aa_set1166323925324055613t_real: ( fun_se1654316830156123260t_real * set_nat ) > fun_nat_real ).

tff(func_def_1489,type,
    aa_set1316517696749040435t_real: ( fun_se2100927751953696370t_real * set_nat ) > fun_fu6899955116716589935t_real ).

tff(func_def_1490,type,
    aa_set6735692237302977855_nat_o: ( fun_se2369204539228100110_nat_o * set_Pr8693737435421807431at_nat ) > fun_Pr363642936170290612_nat_o ).

tff(func_def_1491,type,
    aa_set2323979645938365349real_o: ( fun_se2161501677553633980real_o * set_real ) > fun_real_o ).

tff(func_def_1492,type,
    aa_char_nat: ( fun_char_nat * char ) > nat ).

tff(func_def_1493,type,
    aa_VEBT_VEBT_nat: ( fun_VEBT_VEBT_nat * vEBT_VEBT ) > nat ).

tff(func_def_1494,type,
    aa_VEB4248176028289774660_nat_o: ( fun_VE2573032740582156747_nat_o * vEBT_VEBT ) > fun_na927404270896789692_nat_o ).

tff(func_def_1495,type,
    aa_fun2509385170507305080nteger: ( fun_fu4800041728187187127nteger * fun_Co8499238673658658103nteger ) > fun_Pr5876161306168176259nteger ).

tff(func_def_1496,type,
    aa_fun2514317545224092796plex_o: ( fun_fu1358370060594899587plex_o * fun_complex_o ) > fun_complex_o ).

tff(func_def_1497,type,
    aa_fun3681620399087435360omplex: ( fun_fu3719809307426920623omplex * fun_complex_o ) > fun_complex_complex ).

tff(func_def_1498,type,
    aa_fun8261057609414086622x_real: ( fun_fu3043978019632300333x_real * fun_complex_o ) > fun_complex_real ).

tff(func_def_1499,type,
    aa_fun5267417455630836558nteger: ( fun_fu1400560744564786701nteger * fun_co8153928105989009288nteger ) > fun_co8153928105989009288nteger ).

tff(func_def_1500,type,
    aa_fun573566726631320556plex_o: ( fun_fu2445682883699234307plex_o * fun_complex_complex ) > fun_complex_o ).

tff(func_def_1501,type,
    aa_fun3187328805393345264omplex: ( fun_fu5956788528830221615omplex * fun_complex_complex ) > fun_complex_complex ).

tff(func_def_1502,type,
    aa_fun6995112137416684571omplex: ( fun_fu8998703528969179354omplex * fun_complex_complex ) > fun_co7673397065115134084omplex ).

tff(func_def_1503,type,
    aa_fun1583801116089702097omplex: ( fun_fu8084223252616112272omplex * fun_complex_complex ) > fun_se7512233253626865466omplex ).

tff(func_def_1504,type,
    aa_fun4378733901284544684plex_o: ( fun_fu2142003765521078979plex_o * fun_complex_complex ) > fun_fu2445682883699234307plex_o ).

tff(func_def_1505,type,
    aa_fun2465681967280144180ex_nat: ( fun_fu705315015666092147ex_nat * fun_complex_nat ) > fun_complex_nat ).

tff(func_def_1506,type,
    aa_fun6195079535267300846plex_o: ( fun_fu806425790188207109plex_o * fun_complex_real ) > fun_complex_o ).

tff(func_def_1507,type,
    aa_fun8933909628229591020x_real: ( fun_fu7714627026455246123x_real * fun_complex_real ) > fun_complex_real ).

tff(func_def_1508,type,
    aa_fun805843229300662576plex_o: ( fun_fu7523448966510524487plex_o * fun_complex_real ) > fun_fu806425790188207109plex_o ).

tff(func_def_1509,type,
    aa_fun6243517787477317628_int_o: ( fun_fu3883539188510166275_int_o * fun_int_o ) > fun_int_o ).

tff(func_def_1510,type,
    aa_fun6439487526662521568omplex: ( fun_fu3558165918884697647omplex * fun_int_o ) > fun_int_complex ).

tff(func_def_1511,type,
    aa_fun7506669883404309598t_real: ( fun_fu7030473000426307245t_real * fun_int_o ) > fun_int_real ).

tff(func_def_1512,type,
    aa_fun5304498221708291146nteger: ( fun_fu3628599891403802633nteger * fun_int_Code_integer ) > fun_int_Code_integer ).

tff(func_def_1513,type,
    aa_fun5261878201068379632_int_o: ( fun_fu7994259084669964039_int_o * fun_int_complex ) > fun_int_o ).

tff(func_def_1514,type,
    aa_fun3088484340408535532omplex: ( fun_fu3613808716698379563omplex * fun_int_complex ) > fun_int_complex ).

tff(func_def_1515,type,
    aa_fun2392861216585087154_int_o: ( fun_fu3930813892005118153_int_o * fun_int_complex ) > fun_fu7994259084669964039_int_o ).

tff(func_def_1516,type,
    aa_fun6280345759651049192nt_int: ( fun_fu1143798476471108391nt_int * fun_int_int ) > fun_int_int ).

tff(func_def_1517,type,
    aa_fun5911324870756489105nt_int: ( fun_fu923337204662071120nt_int * fun_int_int ) > fun_int_fun_int_int ).

tff(func_def_1518,type,
    aa_fun8076508010538293575nt_int: ( fun_fu3739269683040691718nt_int * fun_int_int ) > fun_se4827636401813558708nt_int ).

tff(func_def_1519,type,
    aa_fun2545150047610057353_int_o: ( fun_fu4208408993564413984_int_o * fun_int_int ) > fun_fun_int_int_o ).

tff(func_def_1520,type,
    aa_fun2328901131235339916nt_int: ( fun_fu6415725884910174923nt_int * fun_int_nat ) > fun_int_int ).

tff(func_def_1521,type,
    aa_fun6506752150744536624nt_nat: ( fun_fu8905809029841901679nt_nat * fun_int_nat ) > fun_int_nat ).

tff(func_def_1522,type,
    aa_fun1481061427733998144nt_rat: ( fun_fu1008360527747082367nt_rat * fun_int_rat ) > fun_int_rat ).

tff(func_def_1523,type,
    aa_fun4444401208693448434_int_o: ( fun_fu4185471554550717449_int_o * fun_int_real ) > fun_int_o ).

tff(func_def_1524,type,
    aa_fun3252798400008884712t_real: ( fun_fu121957152452960295t_real * fun_int_real ) > fun_int_real ).

tff(func_def_1525,type,
    aa_fun135101165924023862_int_o: ( fun_fu4228744305898656589_int_o * fun_int_real ) > fun_fu4185471554550717449_int_o ).

tff(func_def_1526,type,
    aa_fun6155608546934989052_nat_o: ( fun_fu1994797156054922755_nat_o * fun_list_nat_o ) > fun_list_nat_o ).

tff(func_def_1527,type,
    aa_fun5937193402907943164_nat_o: ( fun_fu4001317426178549763_nat_o * fun_nat_o ) > fun_nat_o ).

tff(func_def_1528,type,
    aa_fun1400689748890728928omplex: ( fun_fu4302481349826706223omplex * fun_nat_o ) > fun_nat_complex ).

tff(func_def_1529,type,
    aa_fun696632391729880074at_rat: ( fun_fu3162257917499486297at_rat * fun_nat_o ) > fun_nat_rat ).

tff(func_def_1530,type,
    aa_fun5510454223943551838t_real: ( fun_fu4002475321494201261t_real * fun_nat_o ) > fun_nat_real ).

tff(func_def_1531,type,
    aa_fun589076786913273746nteger: ( fun_fu2499394402704830801nteger * fun_nat_Code_integer ) > fun_nat_Code_integer ).

tff(func_def_1532,type,
    aa_fun3019658233935452328_nat_o: ( fun_fu6176141739774794687_nat_o * fun_nat_complex ) > fun_nat_o ).

tff(func_def_1533,type,
    aa_fun2955221450537884980omplex: ( fun_fu40286998686754419omplex * fun_nat_complex ) > fun_nat_complex ).

tff(func_def_1534,type,
    aa_fun7054779078796324018t_real: ( fun_fu7631928937237476593t_real * fun_nat_complex ) > fun_nat_real ).

tff(func_def_1535,type,
    aa_fun894001447060918982_nat_o: ( fun_fu6433034133342731997_nat_o * fun_nat_complex ) > fun_fu6176141739774794687_nat_o ).

tff(func_def_1536,type,
    aa_fun5565043122120104496at_int: ( fun_fu8464300013002972271at_int * fun_nat_int ) > fun_nat_int ).

tff(func_def_1537,type,
    aa_fun4551936527957760560t_real: ( fun_fu6119738925743952495t_real * fun_nat_int ) > fun_nat_real ).

tff(func_def_1538,type,
    aa_fun1958354139826840918omplex: ( fun_fu4781654129426620053omplex * fun_nat_nat ) > fun_nat_complex ).

tff(func_def_1539,type,
    aa_fun1613598493704395220at_int: ( fun_fu4512855384587262995at_int * fun_nat_nat ) > fun_nat_int ).

tff(func_def_1540,type,
    aa_fun5791449513213591928at_nat: ( fun_fu7002938529518989751at_nat * fun_nat_nat ) > fun_nat_nat ).

tff(func_def_1541,type,
    aa_fun1538629612289296340t_real: ( fun_fu3106432010075488275t_real * fun_nat_nat ) > fun_nat_real ).

tff(func_def_1542,type,
    aa_fun6650658898577385413at_nat: ( fun_fu4413992040155564420at_nat * fun_nat_nat ) > fun_nat_fun_nat_nat ).

tff(func_def_1543,type,
    aa_fun4561837934398617467at_nat: ( fun_fu2454420574033104442at_nat * fun_nat_nat ) > fun_se1179353343636554400at_nat ).

tff(func_def_1544,type,
    aa_fun_nat_rat_real: ( fun_fun_nat_rat_real * fun_nat_rat ) > real ).

tff(func_def_1545,type,
    aa_fun1118977351124560894_nat_o: ( fun_fu7145897819039579925_nat_o * fun_nat_rat ) > fun_nat_o ).

tff(func_def_1546,type,
    aa_fun765758790203053448at_rat: ( fun_fu8328862064278946247at_rat * fun_nat_rat ) > fun_nat_rat ).

tff(func_def_1547,type,
    aa_fun8455130352500885026real_o: ( fun_fu1771228864347509049real_o * fun_nat_rat ) > fun_real_o ).

tff(func_def_1548,type,
    aa_fun6961092367326905321_rat_o: ( fun_fu6714665071556184448_rat_o * fun_nat_rat ) > fun_fun_nat_rat_o ).

tff(func_def_1549,type,
    aa_fun8314661095172591474_nat_o: ( fun_fu1806770557662746761_nat_o * fun_nat_rat ) > fun_fu7145897819039579925_nat_o ).

tff(func_def_1550,type,
    aa_fun3638354034882855594at_rat: ( fun_fu6579618355643354601at_rat * fun_nat_rat ) > fun_fu8328862064278946247at_rat ).

tff(func_def_1551,type,
    aa_fun6456149469358400426_nat_o: ( fun_fu6621322437453427393_nat_o * fun_nat_real ) > fun_nat_o ).

tff(func_def_1552,type,
    aa_fun1839206346889086768t_real: ( fun_fu6899955116716589935t_real * fun_nat_real ) > fun_nat_real ).

tff(func_def_1553,type,
    aa_fun3023522663955195517t_real: ( fun_fu163975356400620604t_real * fun_nat_real ) > fun_nat_fun_nat_real ).

tff(func_def_1554,type,
    aa_fun1400677770452585267t_real: ( fun_fu3306995184869731826t_real * fun_nat_real ) > fun_se1654316830156123260t_real ).

tff(func_def_1555,type,
    aa_fun5464864432877286986_nat_o: ( fun_fu6813129056075673441_nat_o * fun_nat_real ) > fun_fu6621322437453427393_nat_o ).

tff(func_def_1556,type,
    aa_fun1113820866546176217t_real: ( fun_fu5589980185390252312t_real * fun_na6724076748692969250l_real ) > fun_nat_real ).

tff(func_def_1557,type,
    aa_fun2567993205388704171l_real: ( fun_fu3612569900928539882l_real * fun_na6724076748692969250l_real ) > fun_re4112884445705685835l_real ).

tff(func_def_1558,type,
    aa_fun6414004499577345958_nat_o: ( fun_fu2988548197490738277_nat_o * fun_Pr363642936170290612_nat_o ) > fun_Pr363642936170290612_nat_o ).

tff(func_def_1559,type,
    aa_fun1418195909679405372at_nat: ( fun_fu6946331795031837123at_nat * fun_Pr2871540613828922186at_nat ) > fun_Pr2871540613828922186at_nat ).

tff(func_def_1560,type,
    aa_fun5868358341814070780real_o: ( fun_fu9050450510664235267real_o * fun_real_o ) > fun_real_o ).

tff(func_def_1561,type,
    aa_fun1098856492951973088omplex: ( fun_fu3532930458344041007omplex * fun_real_o ) > fun_real_complex ).

tff(func_def_1562,type,
    aa_fun2004904883527618314al_rat: ( fun_fu5551332503302594393al_rat * fun_real_o ) > fun_real_rat ).

tff(func_def_1563,type,
    aa_fun4448911596306054750l_real: ( fun_fu4478067837645853357l_real * fun_real_o ) > fun_real_real ).

tff(func_def_1564,type,
    aa_fun7923231501384339402nteger: ( fun_fu8643405727515436425nteger * fun_re6978948838062957830nteger ) > fun_re6978948838062957830nteger ).

tff(func_def_1565,type,
    aa_fun5218151893725926128real_o: ( fun_fu7444430165986413063real_o * fun_real_complex ) > fun_real_o ).

tff(func_def_1566,type,
    aa_fun2233226938935547116omplex: ( fun_fu8384527901749275179omplex * fun_real_complex ) > fun_real_complex ).

tff(func_def_1567,type,
    aa_fun1467772539989157170real_o: ( fun_fu9068519094125542729real_o * fun_real_complex ) > fun_fu7444430165986413063real_o ).

tff(func_def_1568,type,
    aa_fun211602392931233840al_nat: ( fun_fu3214020956574444655al_nat * fun_real_nat ) > fun_real_nat ).

tff(func_def_1569,type,
    aa_fun3209485225100452678real_o: ( fun_fu6510078244439976541real_o * fun_real_rat ) > fun_real_o ).

tff(func_def_1570,type,
    aa_fun2468082234287226944al_rat: ( fun_fu2598743018846156927al_rat * fun_real_rat ) > fun_real_rat ).

tff(func_def_1571,type,
    aa_fun8459995508950063326real_o: ( fun_fu5587483295140630005real_o * fun_real_rat ) > fun_fu6510078244439976541real_o ).

tff(func_def_1572,type,
    aa_fun2895569901277098738real_o: ( fun_fu3022329567491847689real_o * fun_real_real ) > fun_real_o ).

tff(func_def_1573,type,
    aa_fun6946558556880649704l_real: ( fun_fu3077872570260440615l_real * fun_real_real ) > fun_real_real ).

tff(func_def_1574,type,
    aa_fun3693225987673163702real_o: ( fun_fu5533088652784741581real_o * fun_real_real ) > fun_fu3022329567491847689real_o ).

tff(func_def_1575,type,
    aa_fun7909102309695209382al_o_o: ( fun_fu7981297689148232565al_o_o * fun_fun_nat_rat_o ) > fun_fun_real_o_o ).

tff(func_def_1576,type,
    aa_fun8686829112900759002l_real: ( fun_fu3711856879280950809l_real * fun_fu8328862064278946247at_rat ) > fun_real_real ).

tff(func_def_1577,type,
    aa_fun1584707981518017559real_o: ( fun_fu6910828598506988974real_o * fun_fu8328862064278946247at_rat ) > fun_fun_real_real_o ).

tff(func_def_1578,type,
    aa_fun9037873928781546661_rat_o: ( fun_fu1950632212952468284_rat_o * fun_fu8328862064278946247at_rat ) > fun_fu4846507671440591850_rat_o ).

tff(func_def_1579,type,
    fChoice_real: fun_real_o > real ).

tff(func_def_1580,type,
    fequal_o: fun_o_fun_o_o ).

tff(func_def_1581,type,
    fequal_int: fun_int_fun_int_o ).

tff(func_def_1582,type,
    fequal_nat: fun_nat_fun_nat_o ).

tff(func_def_1583,type,
    fequal_num: fun_num_fun_num_o ).

tff(func_def_1584,type,
    fequal_real: fun_real_fun_real_o ).

tff(func_def_1585,type,
    member_complex: complex > fun_set_complex_o ).

tff(func_def_1586,type,
    member_int: int > fun_set_int_o ).

tff(func_def_1587,type,
    member_nat: nat > fun_set_nat_o ).

tff(func_def_1588,type,
    deg: nat ).

tff(func_def_1589,type,
    m: nat ).

tff(func_def_1590,type,
    ma: nat ).

tff(func_def_1591,type,
    mi: nat ).

tff(func_def_1592,type,
    na: nat ).

tff(func_def_1593,type,
    sc: nat ).

tff(func_def_1594,type,
    summary: vEBT_VEBT ).

tff(func_def_1595,type,
    treeList: list_VEBT_VEBT ).

tff(func_def_1596,type,
    xa: nat ).

tff(func_def_1597,type,
    l0: nat ).

tff(func_def_1598,type,
    h1: nat ).

tff(func_def_1599,type,
    maxlow2: option_nat ).

tff(func_def_1600,type,
    sc23: option_nat ).

tff(func_def_1601,type,
    l4: nat ).

tff(func_def_1602,type,
    h5: nat ).

tff(func_def_1603,type,
    maxlow6: option_nat ).

tff(func_def_1604,type,
    sc27: option_nat ).

tff(func_def_1605,type,
    m28: complex ).

tff(func_def_1606,type,
    m29: real ).

tff(func_def_1607,type,
    m210: rat ).

tff(func_def_1608,type,
    m211: nat ).

tff(func_def_1609,type,
    m212: int ).

tff(func_def_1610,type,
    w13: complex ).

tff(func_def_1611,type,
    w14: real ).

tff(func_def_1612,type,
    w15: rat ).

tff(func_def_1613,type,
    w16: nat ).

tff(func_def_1614,type,
    w17: int ).

tff(func_def_1615,type,
    pos18: nat ).

tff(func_def_1616,type,
    pos19: nat ).

tff(func_def_1617,type,
    pos20: nat ).

tff(func_def_1618,type,
    pos21: nat ).

tff(func_def_1619,type,
    h22: nat ).

tff(func_def_1620,type,
    h23: nat ).

tff(func_def_1621,type,
    h24: nat ).

tff(func_def_1622,type,
    h25: nat ).

tff(func_def_1623,type,
    l26: nat ).

tff(func_def_1624,type,
    h27: nat ).

tff(func_def_1625,type,
    maxlow28: option_nat ).

tff(func_def_1626,type,
    sc229: option_nat ).

tff(func_def_1627,type,
    l30: nat ).

tff(func_def_1628,type,
    h31: nat ).

tff(func_def_1629,type,
    maxlow32: option_nat ).

tff(func_def_1630,type,
    sc233: option_nat ).

tff(func_def_1631,type,
    pos34: nat ).

tff(func_def_1632,type,
    pos35: nat ).

tff(func_def_1633,type,
    pos36: nat ).

tff(func_def_1634,type,
    pos37: nat ).

tff(func_def_1635,type,
    pos38: nat ).

tff(func_def_1636,type,
    pos39: nat ).

tff(func_def_1637,type,
    l40: nat ).

tff(func_def_1638,type,
    h41: nat ).

tff(func_def_1639,type,
    maxlow42: option_nat ).

tff(func_def_1640,type,
    sc243: option_nat ).

tff(func_def_1641,type,
    pos44: nat ).

tff(func_def_1642,type,
    pos45: nat ).

tff(func_def_1643,type,
    h46: nat ).

tff(func_def_1644,type,
    h47: nat ).

tff(func_def_1645,type,
    pos48: nat ).

tff(func_def_1646,type,
    pos49: nat ).

tff(func_def_1647,type,
    pos50: nat ).

tff(func_def_1648,type,
    h51: nat ).

tff(func_def_1649,type,
    pos52: nat ).

tff(func_def_1650,type,
    pos53: nat ).

tff(func_def_1651,type,
    pos54: nat ).

tff(func_def_1652,type,
    pos55: nat ).

tff(func_def_1653,type,
    pos56: nat ).

tff(func_def_1654,type,
    pos57: nat ).

tff(func_def_1655,type,
    xn58: nat ).

tff(func_def_1656,type,
    h59: nat ).

tff(func_def_1657,type,
    xn60: nat ).

tff(func_def_1658,type,
    h61: nat ).

tff(func_def_1659,type,
    xn62: nat ).

tff(func_def_1660,type,
    h63: nat ).

tff(func_def_1661,type,
    half64: nat ).

tff(func_def_1662,type,
    half65: nat ).

tff(func_def_1663,type,
    half66: nat ).

tff(func_def_1664,type,
    half67: nat ).

tff(func_def_1665,type,
    half68: nat ).

tff(func_def_1666,type,
    half69: nat ).

tff(func_def_1667,type,
    m270: complex ).

tff(func_def_1668,type,
    m271: real ).

tff(func_def_1669,type,
    m272: rat ).

tff(func_def_1670,type,
    m273: nat ).

tff(func_def_1671,type,
    m274: int ).

tff(func_def_1672,type,
    w75: complex ).

tff(func_def_1673,type,
    w76: real ).

tff(func_def_1674,type,
    w77: rat ).

tff(func_def_1675,type,
    w78: nat ).

tff(func_def_1676,type,
    w79: int ).

tff(func_def_1677,type,
    l80: real ).

tff(func_def_1678,type,
    l81: int ).

tff(func_def_1679,type,
    l82: complex ).

tff(func_def_1680,type,
    l83: code_integer ).

tff(func_def_1681,type,
    l84: rat ).

tff(func_def_1682,type,
    d85: int ).

tff(func_def_1683,type,
    l86: code_integer ).

tff(func_def_1684,type,
    k87: code_integer ).

tff(func_def_1685,type,
    k88: code_integer ).

tff(func_def_1686,type,
    a89: int ).

tff(func_def_1687,type,
    a90: int ).

tff(func_def_1688,type,
    n91: nat ).

tff(func_def_1689,type,
    m292: nat ).

tff(func_def_1690,type,
    n93: nat ).

tff(func_def_1691,type,
    m294: nat ).

tff(func_def_1692,type,
    n95: nat ).

tff(func_def_1693,type,
    m296: nat ).

tff(func_def_1694,type,
    n97: nat ).

tff(func_def_1695,type,
    m298: nat ).

tff(func_def_1696,type,
    n99: nat ).

tff(func_def_1697,type,
    m2100: nat ).

tff(func_def_1698,type,
    n101: nat ).

tff(func_def_1699,type,
    m2102: nat ).

tff(func_def_1700,type,
    n103: nat ).

tff(func_def_1701,type,
    m2104: nat ).

tff(func_def_1702,type,
    l2105: int ).

tff(func_def_1703,type,
    m3106: complex ).

tff(func_def_1704,type,
    m3107: real ).

tff(func_def_1705,type,
    m3108: rat ).

tff(func_def_1706,type,
    m3109: nat ).

tff(func_def_1707,type,
    m3110: int ).

tff(func_def_1708,type,
    l2111: num ).

tff(func_def_1709,type,
    l3112: num ).

tff(func_def_1710,type,
    l2113: nat ).

tff(func_def_1711,type,
    l3114: nat ).

tff(func_def_1712,type,
    iG115: ( nat * nat ) > nat ).

tff(func_def_1713,type,
    iG116: ( nat * nat * nat ) > nat ).

tff(func_def_1714,type,
    iG117: ( nat * nat * nat ) > nat ).

tff(func_def_1715,type,
    iG118: ( int * int * int ) > int ).

tff(func_def_1716,type,
    iG119: ( complex * complex * complex ) > complex ).

tff(func_def_1717,type,
    iG120: ( real * real * real ) > real ).

tff(func_def_1718,type,
    iG121: ( rat * rat * rat ) > rat ).

tff(func_def_1719,type,
    iG122: complex > complex ).

tff(func_def_1720,type,
    iG123: real > real ).

tff(func_def_1721,type,
    iG124: rat > rat ).

tff(func_def_1722,type,
    iG131: ( int * int ) > int ).

tff(func_def_1723,type,
    iG132: nat > rat ).

tff(func_def_1724,type,
    iG133: nat > nat ).

tff(func_def_1725,type,
    iG134: nat > real ).

tff(func_def_1726,type,
    iG135: nat > int ).

tff(func_def_1727,type,
    iG136: nat > complex ).

tff(func_def_1728,type,
    iG157: ( complex * complex * complex ) > complex ).

tff(func_def_1729,type,
    iG158: ( real * real * real ) > real ).

tff(func_def_1730,type,
    iG159: ( rat * rat * rat ) > rat ).

tff(func_def_1731,type,
    iG160: ( complex * complex * complex ) > complex ).

tff(func_def_1732,type,
    iG161: ( real * real * real ) > real ).

tff(func_def_1733,type,
    iG162: ( rat * rat * rat ) > rat ).

tff(func_def_1734,type,
    iG163: ( complex * complex * complex ) > complex ).

tff(func_def_1735,type,
    iG164: ( real * real * real ) > real ).

tff(func_def_1736,type,
    iG165: ( rat * rat * rat ) > rat ).

tff(func_def_1737,type,
    iG182: ( nat * nat ) > nat ).

tff(func_def_1738,type,
    iG191: ( nat * nat * nat ) > nat ).

tff(func_def_1739,type,
    iG192: ( nat * nat * int ) > int ).

tff(func_def_1740,type,
    iG193: ( nat * complex ) > complex ).

tff(func_def_1741,type,
    iG194: ( nat * real ) > real ).

tff(func_def_1742,type,
    iG195: ( nat * rat ) > rat ).

tff(func_def_1743,type,
    iG196: ( nat * nat ) > nat ).

tff(func_def_1744,type,
    iG197: ( nat * int ) > int ).

tff(func_def_1745,type,
    iG198: ( nat * nat ) > nat ).

tff(func_def_1746,type,
    bG199: ( nat * list_o ) > $o ).

tff(func_def_1749,type,
    bG200: $o > $o ).

tff(func_def_1750,type,
    bG201: $o > $o ).

tff(func_def_1751,type,
    iG202: option_nat ).

tff(func_def_1752,type,
    iG203: option_nat ).

tff(func_def_1753,type,
    iG204: option_nat ).

tff(func_def_1754,type,
    iG205: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_1755,type,
    iG206: ( int * num * int ) > product_prod_int_int ).

tff(func_def_1756,type,
    iG207: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_1757,type,
    iG208: ( nat * nat ) > nat ).

tff(func_def_1758,type,
    iG209: ( nat * nat ) > nat ).

tff(func_def_1759,type,
    iG210: ( nat * nat ) > nat ).

tff(func_def_1760,type,
    bG211: $o > $o ).

tff(func_def_1761,type,
    bG212: $o > $o ).

tff(func_def_1762,type,
    bG213: $o > $o ).

tff(func_def_1763,type,
    bG214: $o > $o ).

tff(func_def_1764,type,
    bG215: $o > $o ).

tff(func_def_1765,type,
    bG216: $o > $o ).

tff(func_def_1766,type,
    bG217: $o > $o ).

tff(func_def_1767,type,
    bG218: $o > $o ).

tff(func_def_1768,type,
    bG219: $o > $o ).

tff(func_def_1769,type,
    bG220: $o > $o ).

tff(func_def_1770,type,
    bG221: $o > $o ).

tff(func_def_1771,type,
    bG222: $o > $o ).

tff(func_def_1772,type,
    bG223: $o > $o ).

tff(func_def_1773,type,
    bG224: $o > $o ).

tff(func_def_1774,type,
    bG227: $o > $o ).

tff(func_def_1775,type,
    bG228: $o > $o ).

tff(func_def_1776,type,
    bG229: $o > $o ).

tff(func_def_1777,type,
    bG230: $o > $o ).

tff(func_def_1778,type,
    bG231: $o > $o ).

tff(func_def_1779,type,
    bG232: $o > $o ).

tff(func_def_1780,type,
    bG233: $o > $o ).

tff(func_def_1781,type,
    bG234: $o > $o ).

tff(func_def_1782,type,
    iG235: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1783,type,
    iG236: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_1784,type,
    bG237: $o > $o ).

tff(func_def_1785,type,
    bG238: $o > $o ).

tff(func_def_1786,type,
    bG239: $o > $o ).

tff(func_def_1787,type,
    bG240: $o > $o ).

tff(func_def_1788,type,
    bG241: $o > $o ).

tff(func_def_1789,type,
    bG242: $o > $o ).

tff(func_def_1790,type,
    bG243: $o > $o ).

tff(func_def_1791,type,
    bG244: $o > $o ).

tff(func_def_1792,type,
    bG245: $o > $o ).

tff(func_def_1793,type,
    bG246: $o > $o ).

tff(func_def_1794,type,
    iG247: $o > option_nat ).

tff(func_def_1795,type,
    bG248: $o > $o ).

tff(func_def_1796,type,
    bG249: $o > $o ).

tff(func_def_1797,type,
    iG250: $o > option_nat ).

tff(func_def_1798,type,
    iG251: ( $o * $o ) > option_nat ).

tff(func_def_1799,type,
    bG252: $o > $o ).

tff(func_def_1800,type,
    bG253: $o > $o ).

tff(func_def_1801,type,
    iG254: $o > option_nat ).

tff(func_def_1802,type,
    iG255: ( $o * $o ) > option_nat ).

tff(func_def_1803,type,
    bG256: $o > $o ).

tff(func_def_1804,type,
    bG257: $o > $o ).

tff(func_def_1805,type,
    bG258: $o > $o ).

tff(func_def_1806,type,
    bG259: $o > $o ).

tff(func_def_1807,type,
    iG260: $o > option_nat ).

tff(func_def_1808,type,
    iG261: ( $o * $o ) > option_nat ).

tff(func_def_1809,type,
    bG262: $o > $o ).

tff(func_def_1810,type,
    bG263: $o > $o ).

tff(func_def_1811,type,
    iG264: $o > option_nat ).

tff(func_def_1812,type,
    iG265: ( $o * $o ) > option_nat ).

tff(func_def_1813,type,
    bG266: $o > $o ).

tff(func_def_1814,type,
    bG267: $o > $o ).

tff(func_def_1815,type,
    lG268: ( nat * nat ) > nat ).

tff(func_def_1816,type,
    lG269: ( nat * nat ) > nat ).

tff(func_def_1817,type,
    lG270: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1818,type,
    lG271: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1819,type,
    iG272: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1820,type,
    iG273: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1821,type,
    iG274: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1822,type,
    lG275: ( nat * nat ) > nat ).

tff(func_def_1823,type,
    lG276: ( nat * nat ) > nat ).

tff(func_def_1824,type,
    lG277: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1825,type,
    lG278: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1826,type,
    iG279: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1827,type,
    iG280: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1828,type,
    lG281: num > complex ).

tff(func_def_1829,type,
    lG282: num > real ).

tff(func_def_1830,type,
    lG283: num > rat ).

tff(func_def_1831,type,
    lG284: num > nat ).

tff(func_def_1832,type,
    lG285: num > int ).

tff(func_def_1833,type,
    lG286: ( complex * num ) > complex ).

tff(func_def_1834,type,
    lG287: ( real * num ) > real ).

tff(func_def_1835,type,
    lG288: ( rat * num ) > rat ).

tff(func_def_1836,type,
    lG289: ( nat * num ) > nat ).

tff(func_def_1837,type,
    lG290: ( int * num ) > int ).

tff(func_def_1838,type,
    lG291: ( nat * nat ) > nat ).

tff(func_def_1839,type,
    bG295: $o > $o ).

tff(func_def_1840,type,
    bG296: $o > $o ).

tff(func_def_1841,type,
    lG297: ( nat * nat ) > nat ).

tff(func_def_1842,type,
    bG301: $o > $o ).

tff(func_def_1843,type,
    bG302: $o > $o ).

tff(func_def_1844,type,
    lG303: ( nat * nat ) > nat ).

tff(func_def_1845,type,
    bG307: $o > $o ).

tff(func_def_1846,type,
    bG308: $o > $o ).

tff(func_def_1847,type,
    lG309: ( nat * nat ) > nat ).

tff(func_def_1848,type,
    bG313: $o > $o ).

tff(func_def_1849,type,
    bG314: $o > $o ).

tff(func_def_1850,type,
    lG315: ( nat * nat ) > nat ).

tff(func_def_1851,type,
    lG321: ( nat * nat ) > nat ).

tff(func_def_1852,type,
    bG329: $o > $o ).

tff(func_def_1853,type,
    bG330: $o > $o ).

tff(func_def_1854,type,
    lG331: ( nat * nat ) > nat ).

tff(func_def_1855,type,
    bG339: $o > $o ).

tff(func_def_1856,type,
    bG340: $o > $o ).

tff(func_def_1857,type,
    lG341: ( nat * nat ) > nat ).

tff(func_def_1858,type,
    bG349: $o > $o ).

tff(func_def_1859,type,
    bG350: $o > $o ).

tff(func_def_1860,type,
    lG351: ( nat * nat ) > nat ).

tff(func_def_1861,type,
    lG352: ( nat * nat ) > nat ).

tff(func_def_1862,type,
    lG353: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1863,type,
    lG354: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1864,type,
    iG355: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1865,type,
    iG356: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1866,type,
    iG357: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1867,type,
    iG358: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1868,type,
    lG359: ( nat * nat ) > nat ).

tff(func_def_1869,type,
    lG360: ( nat * nat ) > nat ).

tff(func_def_1870,type,
    lG361: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1871,type,
    lG362: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1872,type,
    iG363: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1873,type,
    iG364: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1874,type,
    iG365: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1875,type,
    iG366: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1876,type,
    bG367: $o > $o ).

tff(func_def_1877,type,
    bG368: $o > $o ).

tff(func_def_1878,type,
    iG369: $o > option_nat ).

tff(func_def_1879,type,
    bG370: $o > $o ).

tff(func_def_1880,type,
    bG371: $o > $o ).

tff(func_def_1881,type,
    lG372: ( nat * nat ) > nat ).

tff(func_def_1882,type,
    lG374: ( nat * nat ) > nat ).

tff(func_def_1883,type,
    bG376: $o > $o ).

tff(func_def_1884,type,
    bG377: $o > $o ).

tff(func_def_1885,type,
    lG378: ( nat * nat ) > nat ).

tff(func_def_1886,type,
    lG380: ( nat * nat ) > nat ).

tff(func_def_1887,type,
    bG382: $o > $o ).

tff(func_def_1888,type,
    bG383: $o > $o ).

tff(func_def_1889,type,
    lG384: ( nat * nat ) > nat ).

tff(func_def_1890,type,
    lG386: ( nat * nat ) > nat ).

tff(func_def_1891,type,
    lG388: ( nat * nat ) > nat ).

tff(func_def_1892,type,
    lG389: ( nat * nat ) > nat ).

tff(func_def_1893,type,
    lG390: ( list_VEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1894,type,
    lG391: ( vEBT_VEBT * nat * nat ) > option_nat ).

tff(func_def_1895,type,
    iG392: ( nat * nat * vEBT_VEBT * list_VEBT_VEBT ) > option_nat ).

tff(func_def_1896,type,
    iG393: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1897,type,
    iG394: ( list_VEBT_VEBT * nat * nat * vEBT_VEBT ) > option_nat ).

tff(func_def_1898,type,
    iG395: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > option_nat ).

tff(func_def_1899,type,
    bG396: $o > $o ).

tff(func_def_1900,type,
    bG397: $o > $o ).

tff(func_def_1901,type,
    bG398: $o > $o ).

tff(func_def_1902,type,
    bG399: $o > $o ).

tff(func_def_1903,type,
    bG400: $o > $o ).

tff(func_def_1904,type,
    bG401: $o > $o ).

tff(func_def_1905,type,
    iG402: $o > option_nat ).

tff(func_def_1906,type,
    bG403: $o > $o ).

tff(func_def_1907,type,
    bG404: $o > $o ).

tff(func_def_1908,type,
    bG405: ( nat * list_o ) > $o ).

tff(func_def_1909,type,
    bG406: $o > $o ).

tff(func_def_1910,type,
    bG407: $o > $o ).

tff(func_def_1911,type,
    bG408: ( nat * list_o ) > $o ).

tff(func_def_1912,type,
    bG409: $o > $o ).

tff(func_def_1913,type,
    bG410: $o > $o ).

tff(func_def_1914,type,
    bG411: $o > $o ).

tff(func_def_1915,type,
    bG412: $o > $o ).

tff(func_def_1916,type,
    bG413: ( nat * list_o ) > $o ).

tff(func_def_1917,type,
    bG414: $o > $o ).

tff(func_def_1918,type,
    bG415: ( nat * list_o ) > $o ).

tff(func_def_1919,type,
    bG416: $o > $o ).

tff(func_def_1920,type,
    bG417: $o > $o ).

tff(func_def_1921,type,
    bG418: ( nat * list_o ) > $o ).

tff(func_def_1922,type,
    lG419: ( nat * nat ) > nat ).

tff(func_def_1923,type,
    lG421: ( nat * nat ) > nat ).

tff(func_def_1924,type,
    lG423: ( nat * nat ) > nat ).

tff(func_def_1925,type,
    bG431: $o > $o ).

tff(func_def_1926,type,
    bG432: $o > $o ).

tff(func_def_1927,type,
    bG433: $o > $o ).

tff(func_def_1928,type,
    bG434: $o > $o ).

tff(func_def_1929,type,
    lG435: ( nat * nat ) > nat ).

tff(func_def_1930,type,
    bG436: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1931,type,
    iG437: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_1932,type,
    iG438: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1933,type,
    iG439: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1934,type,
    iG440: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1935,type,
    iG441: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1936,type,
    bG442: $o > $o ).

tff(func_def_1937,type,
    bG443: $o > $o ).

tff(func_def_1938,type,
    bG444: $o > $o ).

tff(func_def_1939,type,
    bG445: $o > $o ).

tff(func_def_1940,type,
    iG446: ( nat * $o ) > $o ).

tff(func_def_1941,type,
    iG447: ( nat * $o * $o ) > $o ).

tff(func_def_1942,type,
    bG448: $o > $o ).

tff(func_def_1943,type,
    bG449: $o > $o ).

tff(func_def_1944,type,
    lG450: ( nat * nat ) > nat ).

tff(func_def_1945,type,
    bG454: $o > $o ).

tff(func_def_1946,type,
    bG455: $o > $o ).

tff(func_def_1947,type,
    bG456: $o > $o ).

tff(func_def_1948,type,
    bG457: $o > $o ).

tff(func_def_1949,type,
    lG458: ( nat * nat ) > nat ).

tff(func_def_1950,type,
    bG462: $o > $o ).

tff(func_def_1951,type,
    bG463: $o > $o ).

tff(func_def_1952,type,
    bG464: $o > $o ).

tff(func_def_1953,type,
    bG465: $o > $o ).

tff(func_def_1954,type,
    lG466: ( nat * nat ) > nat ).

tff(func_def_1955,type,
    bG467: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1956,type,
    iG468: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_1957,type,
    bG469: $o > $o ).

tff(func_def_1958,type,
    bG470: $o > $o ).

tff(func_def_1959,type,
    bG471: $o > $o ).

tff(func_def_1960,type,
    bG472: $o > $o ).

tff(func_def_1961,type,
    iG473: ( nat * $o ) > $o ).

tff(func_def_1962,type,
    iG474: ( nat * $o * $o ) > $o ).

tff(func_def_1963,type,
    bG475: $o > $o ).

tff(func_def_1964,type,
    bG476: $o > $o ).

tff(func_def_1965,type,
    lG477: ( nat * nat ) > nat ).

tff(func_def_1966,type,
    bG485: $o > $o ).

tff(func_def_1967,type,
    bG486: $o > $o ).

tff(func_def_1968,type,
    bG487: $o > $o ).

tff(func_def_1969,type,
    bG488: $o > $o ).

tff(func_def_1970,type,
    lG489: ( nat * nat ) > nat ).

tff(func_def_1971,type,
    bG490: ( nat * nat * list_VEBT_VEBT ) > $o ).

tff(func_def_1972,type,
    iG491: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(func_def_1973,type,
    lG492: ( nat * nat ) > nat ).

tff(func_def_1974,type,
    bG494: $o > $o ).

tff(func_def_1975,type,
    bG495: $o > $o ).

tff(func_def_1976,type,
    bG496: $o > $o ).

tff(func_def_1977,type,
    bG497: $o > $o ).

tff(func_def_1978,type,
    lG498: ( nat * nat ) > nat ).

tff(func_def_1979,type,
    lG500: ( nat * nat ) > nat ).

tff(func_def_1980,type,
    bG502: $o > $o ).

tff(func_def_1981,type,
    bG503: $o > $o ).

tff(func_def_1982,type,
    bG504: $o > $o ).

tff(func_def_1983,type,
    bG505: $o > $o ).

tff(func_def_1984,type,
    lG506: ( nat * nat ) > nat ).

tff(func_def_1985,type,
    lG508: ( nat * nat ) > nat ).

tff(func_def_1986,type,
    bG510: ( list_o * nat ) > $o ).

tff(func_def_1987,type,
    bG511: ( list_VEBT_VEBT * nat * list_o ) > $o ).

tff(func_def_1988,type,
    bG512: ( list_o * nat * list_o ) > $o ).

tff(func_def_1989,type,
    bG513: ( list_o * nat ) > $o ).

tff(func_def_1990,type,
    bG514: ( list_nat * nat * list_o ) > $o ).

tff(func_def_1991,type,
    bG515: ( list_int * nat * list_o ) > $o ).

tff(func_def_1992,type,
    iG518: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1993,type,
    iG519: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_1994,type,
    iG520: ( num * num ) > extended_enat ).

tff(func_def_1995,type,
    iG521: ( num * num ) > real ).

tff(func_def_1996,type,
    iG522: ( num * num ) > rat ).

tff(func_def_1997,type,
    iG523: ( num * num ) > nat ).

tff(func_def_1998,type,
    iG524: ( num * num ) > int ).

tff(func_def_1999,type,
    bG525: $o > $o ).

tff(func_def_2000,type,
    bG526: $o > $o ).

tff(func_def_2001,type,
    bG527: ( nat * list_o ) > $o ).

tff(func_def_2002,type,
    bG528: ( nat * list_o ) > $o ).

tff(func_def_2003,type,
    iG529: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2004,type,
    iG530: ( set_int * set_int ) > set_int ).

tff(func_def_2005,type,
    iG531: ( rat * rat ) > rat ).

tff(func_def_2006,type,
    iG532: ( num * num ) > num ).

tff(func_def_2007,type,
    iG533: ( nat * nat ) > nat ).

tff(func_def_2008,type,
    iG534: ( int * int ) > int ).

tff(func_def_2009,type,
    iG535: ( extended_enat * extended_enat ) > extended_enat ).

tff(func_def_2010,type,
    iG536: ( set_int * set_int ) > set_int ).

tff(func_def_2011,type,
    iG537: ( rat * rat ) > rat ).

tff(func_def_2012,type,
    iG538: ( num * num ) > num ).

tff(func_def_2013,type,
    iG539: ( nat * nat ) > nat ).

tff(func_def_2014,type,
    iG540: ( int * int ) > int ).

tff(func_def_2015,type,
    bG541: $o > $o ).

tff(func_def_2016,type,
    bG542: $o > $o ).

tff(func_def_2017,type,
    bG543: $o > $o ).

tff(func_def_2018,type,
    iG544: ( nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2019,type,
    bG546: $o > $o ).

tff(func_def_2020,type,
    iG547: ( nat * nat * list_nat * nat ) > nat ).

tff(func_def_2021,type,
    iG548: ( nat * nat * list_int * int ) > int ).

tff(func_def_2022,type,
    iG549: nat > nat ).

tff(func_def_2023,type,
    iG550: int > int ).

tff(func_def_2024,type,
    iG551: code_integer > code_integer ).

tff(func_def_2025,type,
    lG552: ( nat * nat ) > nat ).

tff(func_def_2026,type,
    iG553: ( nat * nat ) > nat ).

tff(func_def_2027,type,
    lG554: ( nat * nat * nat ) > nat ).

tff(func_def_2028,type,
    iG555: ( nat * nat ) > nat ).

tff(func_def_2029,type,
    iG556: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2030,type,
    iG557: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2031,type,
    lG558: ( nat * nat ) > nat ).

tff(func_def_2032,type,
    iG559: ( nat * nat ) > nat ).

tff(func_def_2033,type,
    lG560: ( nat * nat * nat ) > nat ).

tff(func_def_2034,type,
    iG561: ( nat * nat ) > nat ).

tff(func_def_2035,type,
    iG562: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2036,type,
    iG563: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2037,type,
    bG564: $o > $o ).

tff(func_def_2038,type,
    bG565: $o > $o ).

tff(func_def_2039,type,
    bG566: $o > $o ).

tff(func_def_2040,type,
    bG567: $o > $o ).

tff(func_def_2041,type,
    iG568: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2042,type,
    iG569: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2043,type,
    bG570: $o > $o ).

tff(func_def_2044,type,
    bG571: $o > $o ).

tff(func_def_2045,type,
    lG572: ( nat * nat ) > nat ).

tff(func_def_2046,type,
    iG573: ( nat * nat ) > nat ).

tff(func_def_2047,type,
    lG574: ( nat * nat * nat ) > nat ).

tff(func_def_2048,type,
    iG575: ( nat * nat ) > nat ).

tff(func_def_2049,type,
    iG576: ( nat * nat * nat * list_VEBT_VEBT * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2050,type,
    iG577: ( list_VEBT_VEBT * nat * nat * nat * nat * vEBT_VEBT ) > vEBT_VEBT ).

tff(func_def_2051,type,
    bG578: $o > $o ).

tff(func_def_2052,type,
    bG579: $o > $o ).

tff(func_def_2053,type,
    bG580: $o > $o ).

tff(func_def_2054,type,
    bG581: $o > $o ).

tff(func_def_2055,type,
    bG582: $o > $o ).

tff(func_def_2056,type,
    bG583: $o > $o ).

tff(func_def_2057,type,
    iG584: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2058,type,
    iG585: ( nat * $o * $o ) > vEBT_VEBT ).

tff(func_def_2059,type,
    bG586: $o > $o ).

tff(func_def_2060,type,
    bG587: $o > $o ).

tff(func_def_2061,type,
    lG588: nat > nat ).

tff(func_def_2062,type,
    lG589: nat > nat ).

tff(func_def_2063,type,
    iG590: nat > vEBT_VEBT ).

tff(func_def_2064,type,
    bG591: code_integer > $o ).

tff(func_def_2065,type,
    bG592: int > $o ).

tff(func_def_2066,type,
    bG593: nat > $o ).

tff(func_def_2067,type,
    bG594: $o > $o ).

tff(func_def_2068,type,
    bG595: $o > $o ).

tff(func_def_2069,type,
    bG596: $o > $o ).

tff(func_def_2070,type,
    bG597: $o > $o ).

tff(func_def_2071,type,
    bG598: $o > $o ).

tff(func_def_2072,type,
    bG599: $o > $o ).

tff(func_def_2073,type,
    bG600: $o > $o ).

tff(func_def_2074,type,
    bG601: $o > $o ).

tff(func_def_2075,type,
    bG602: $o > $o ).

tff(func_def_2076,type,
    bG603: $o > $o ).

tff(func_def_2077,type,
    bG604: $o > $o ).

tff(func_def_2078,type,
    bG605: $o > $o ).

tff(func_def_2079,type,
    bG606: $o > $o ).

tff(func_def_2080,type,
    bG607: $o > $o ).

tff(func_def_2081,type,
    bG608: $o > $o ).

tff(func_def_2082,type,
    bG609: $o > $o ).

tff(func_def_2083,type,
    bG610: $o > $o ).

tff(func_def_2084,type,
    bG611: $o > $o ).

tff(func_def_2085,type,
    bG612: $o > $o ).

tff(func_def_2086,type,
    bG613: $o > $o ).

tff(func_def_2087,type,
    bG614: $o > $o ).

tff(func_def_2088,type,
    bG615: $o > $o ).

tff(func_def_2089,type,
    bG616: $o > $o ).

tff(func_def_2090,type,
    bG617: $o > $o ).

tff(func_def_2091,type,
    bG618: $o > $o ).

tff(func_def_2092,type,
    bG619: $o > $o ).

tff(func_def_2093,type,
    bG620: $o > $o ).

tff(func_def_2094,type,
    bG621: $o > $o ).

tff(func_def_2095,type,
    bG622: $o > $o ).

tff(func_def_2096,type,
    bG623: $o > $o ).

tff(func_def_2097,type,
    bG624: ( $o * $o ) > $o ).

tff(func_def_2098,type,
    bG625: $o > $o ).

tff(func_def_2099,type,
    bG626: $o > $o ).

tff(func_def_2100,type,
    bG627: ( $o * $o ) > $o ).

tff(func_def_2101,type,
    bG628: $o > $o ).

tff(func_def_2102,type,
    bG629: $o > $o ).

tff(func_def_2103,type,
    bG630: ( $o * $o ) > $o ).

tff(func_def_2104,type,
    bG631: $o > $o ).

tff(func_def_2105,type,
    bG632: $o > $o ).

tff(func_def_2106,type,
    bG633: $o > $o ).

tff(func_def_2107,type,
    bG634: $o > $o ).

tff(func_def_2108,type,
    bG635: $o > $o ).

tff(func_def_2109,type,
    bG636: $o > $o ).

tff(func_def_2110,type,
    bG637: $o > $o ).

tff(func_def_2111,type,
    bG638: $o > $o ).

tff(func_def_2112,type,
    bG639: $o > $o ).

tff(func_def_2113,type,
    bG640: $o > $o ).

tff(func_def_2114,type,
    bG641: $o > $o ).

tff(func_def_2115,type,
    bG642: $o > $o ).

tff(func_def_2116,type,
    bG643: $o > $o ).

tff(func_def_2117,type,
    bG644: $o > $o ).

tff(func_def_2118,type,
    bG645: $o > $o ).

tff(func_def_2119,type,
    bG646: $o > $o ).

tff(func_def_2120,type,
    bG647: $o > $o ).

tff(func_def_2121,type,
    bG648: $o > $o ).

tff(func_def_2122,type,
    bG649: $o > $o ).

tff(func_def_2123,type,
    bG650: $o > $o ).

tff(func_def_2124,type,
    bG651: $o > $o ).

tff(func_def_2125,type,
    bG652: $o > $o ).

tff(func_def_2126,type,
    bG653: nat > $o ).

tff(func_def_2127,type,
    bG654: $o > $o ).

tff(func_def_2128,type,
    bG655: $o > $o ).

tff(func_def_2129,type,
    bG656: $o > $o ).

tff(func_def_2130,type,
    bG657: $o > $o ).

tff(func_def_2131,type,
    bG658: $o > $o ).

tff(func_def_2132,type,
    bG659: $o > $o ).

tff(func_def_2133,type,
    bG660: nat > $o ).

tff(func_def_2134,type,
    bG661: nat > $o ).

tff(func_def_2135,type,
    bG662: nat > $o ).

tff(func_def_2136,type,
    bG663: nat > $o ).

tff(func_def_2137,type,
    bG664: nat > $o ).

tff(func_def_2138,type,
    bG665: nat > $o ).

tff(func_def_2139,type,
    bG666: nat > $o ).

tff(func_def_2140,type,
    bG667: nat > $o ).

tff(func_def_2141,type,
    bG668: nat > $o ).

tff(func_def_2142,type,
    bG669: $o > $o ).

tff(func_def_2143,type,
    bG670: $o > $o ).

tff(func_def_2144,type,
    bG671: $o > $o ).

tff(func_def_2145,type,
    bG672: $o > $o ).

tff(func_def_2146,type,
    bG673: $o > $o ).

tff(func_def_2147,type,
    bG674: $o > $o ).

tff(func_def_2148,type,
    bG675: ( $o * $o ) > $o ).

tff(func_def_2149,type,
    bG676: $o > $o ).

tff(func_def_2150,type,
    bG677: $o > $o ).

tff(func_def_2151,type,
    bG678: ( $o * $o ) > $o ).

tff(func_def_2152,type,
    bG679: $o > $o ).

tff(func_def_2153,type,
    bG680: $o > $o ).

tff(func_def_2154,type,
    bG681: ( $o * $o ) > $o ).

tff(func_def_2155,type,
    bG682: $o > $o ).

tff(func_def_2156,type,
    bG683: $o > $o ).

tff(func_def_2157,type,
    bG684: ( $o * $o ) > $o ).

tff(func_def_2158,type,
    bG685: $o > $o ).

tff(func_def_2159,type,
    bG686: $o > $o ).

tff(func_def_2160,type,
    bG687: ( $o * $o ) > $o ).

tff(func_def_2161,type,
    bG688: $o > $o ).

tff(func_def_2162,type,
    bG689: $o > $o ).

tff(func_def_2163,type,
    bG690: $o > $o ).

tff(func_def_2164,type,
    bG691: $o > $o ).

tff(func_def_2165,type,
    bG692: $o > $o ).

tff(func_def_2166,type,
    bG693: $o > $o ).

tff(func_def_2167,type,
    bG694: $o > $o ).

tff(func_def_2168,type,
    bG695: $o > $o ).

tff(func_def_2169,type,
    bG696: $o > $o ).

tff(func_def_2170,type,
    bG697: $o > $o ).

tff(func_def_2171,type,
    bG698: $o > $o ).

tff(func_def_2172,type,
    bG699: $o > $o ).

tff(func_def_2173,type,
    bG700: $o > $o ).

tff(func_def_2174,type,
    iG701: $o > complex ).

tff(func_def_2175,type,
    bG702: $o > $o ).

tff(func_def_2176,type,
    iG703: $o > real ).

tff(func_def_2177,type,
    bG704: $o > $o ).

tff(func_def_2178,type,
    iG705: $o > rat ).

tff(func_def_2179,type,
    bG706: $o > $o ).

tff(func_def_2180,type,
    iG707: $o > nat ).

tff(func_def_2181,type,
    bG708: $o > $o ).

tff(func_def_2182,type,
    iG709: $o > int ).

tff(func_def_2183,type,
    bG710: $o > $o ).

tff(func_def_2184,type,
    iG711: $o > code_integer ).

tff(func_def_2185,type,
    bG712: $o > $o ).

tff(func_def_2186,type,
    bG713: $o > $o ).

tff(func_def_2187,type,
    bG714: $o > $o ).

tff(func_def_2188,type,
    bG715: $o > $o ).

tff(func_def_2189,type,
    bG716: $o > $o ).

tff(func_def_2190,type,
    bG717: $o > $o ).

tff(func_def_2191,type,
    bG718: $o > $o ).

tff(func_def_2192,type,
    bG719: $o > $o ).

tff(func_def_2193,type,
    bG720: $o > $o ).

tff(func_def_2194,type,
    bG721: $o > $o ).

tff(func_def_2195,type,
    bG722: $o > $o ).

tff(func_def_2196,type,
    bG723: $o > $o ).

tff(func_def_2197,type,
    bG724: nat > $o ).

tff(func_def_2198,type,
    bG725: int > $o ).

tff(func_def_2199,type,
    bG726: code_integer > $o ).

tff(func_def_2200,type,
    bG727: $o > $o ).

tff(func_def_2201,type,
    bG728: $o > $o ).

tff(func_def_2202,type,
    bG729: $o > $o ).

tff(func_def_2203,type,
    bG730: $o > $o ).

tff(func_def_2204,type,
    bG731: $o > $o ).

tff(func_def_2205,type,
    bG732: $o > $o ).

tff(func_def_2206,type,
    bG733: ( nat * nat ) > $o ).

tff(func_def_2207,type,
    bG734: ( nat * nat ) > $o ).

tff(func_def_2208,type,
    bG735: ( nat * nat ) > $o ).

tff(func_def_2209,type,
    bG736: ( nat * nat ) > $o ).

tff(func_def_2210,type,
    bG737: ( nat * nat ) > $o ).

tff(func_def_2211,type,
    bG738: ( nat * nat ) > $o ).

tff(func_def_2212,type,
    lG739: nat > nat ).

tff(func_def_2213,type,
    lG740: nat > nat ).

tff(func_def_2214,type,
    iG741: nat > vEBT_VEBT ).

tff(func_def_2215,type,
    bG742: int > $o ).

tff(func_def_2216,type,
    iG743: ( nat * code_integer ) > code_integer ).

tff(func_def_2217,type,
    iG744: ( nat * int ) > int ).

tff(func_def_2218,type,
    lG745: nat > nat ).

tff(func_def_2219,type,
    lG746: nat > nat ).

tff(func_def_2220,type,
    iG747: nat > vEBT_VEBT ).

tff(func_def_2221,type,
    bG748: $o > $o ).

tff(func_def_2222,type,
    bG749: $o > $o ).

tff(func_def_2223,type,
    bG750: $o > $o ).

tff(func_def_2224,type,
    bG751: $o > $o ).

tff(func_def_2225,type,
    bG752: $o > $o ).

tff(func_def_2226,type,
    bG753: $o > $o ).

tff(func_def_2227,type,
    bG754: $o > $o ).

tff(func_def_2228,type,
    bG755: $o > $o ).

tff(func_def_2229,type,
    iG756: ( num * num ) > real ).

tff(func_def_2230,type,
    iG757: ( num * num ) > code_integer ).

tff(func_def_2231,type,
    iG758: ( num * num ) > rat ).

tff(func_def_2232,type,
    iG759: ( num * num ) > int ).

tff(func_def_2233,type,
    iG760: ( num * num ) > real ).

tff(func_def_2234,type,
    iG761: ( num * num ) > code_integer ).

tff(func_def_2235,type,
    iG762: ( num * num ) > rat ).

tff(func_def_2236,type,
    iG763: ( num * num ) > int ).

tff(func_def_2237,type,
    iG764: ( num * num ) > real ).

tff(func_def_2238,type,
    iG765: ( num * num ) > code_integer ).

tff(func_def_2239,type,
    iG766: ( num * num ) > rat ).

tff(func_def_2240,type,
    iG767: ( num * num ) > int ).

tff(func_def_2241,type,
    iG774: real > real ).

tff(func_def_2242,type,
    iG775: int > int ).

tff(func_def_2243,type,
    iG776: code_integer > code_integer ).

tff(func_def_2244,type,
    iG777: rat > rat ).

tff(func_def_2245,type,
    iG778: real > real ).

tff(func_def_2246,type,
    iG779: int > int ).

tff(func_def_2247,type,
    iG780: code_integer > code_integer ).

tff(func_def_2248,type,
    iG781: rat > rat ).

tff(func_def_2249,type,
    iG782: real > real ).

tff(func_def_2250,type,
    iG789: ( int * int ) > int ).

tff(func_def_2251,type,
    iG790: ( int * int ) > int ).

tff(func_def_2252,type,
    iG805: ( real * real * real ) > real ).

tff(func_def_2253,type,
    iG806: ( complex * complex * complex ) > complex ).

tff(func_def_2254,type,
    iG807: ( rat * rat * rat ) > rat ).

tff(func_def_2255,type,
    iG808: ( real * real * real ) > real ).

tff(func_def_2256,type,
    iG809: ( complex * complex * complex ) > complex ).

tff(func_def_2257,type,
    iG810: ( rat * rat * rat ) > rat ).

tff(func_def_2258,type,
    iG811: ( real * real * real ) > real ).

tff(func_def_2259,type,
    iG812: ( complex * complex * complex ) > complex ).

tff(func_def_2260,type,
    iG813: ( rat * rat * rat ) > rat ).

tff(func_def_2261,type,
    iG830: ( nat * real ) > real ).

tff(func_def_2262,type,
    iG831: ( nat * int ) > int ).

tff(func_def_2263,type,
    iG832: ( nat * complex ) > complex ).

tff(func_def_2264,type,
    iG833: ( nat * code_integer ) > code_integer ).

tff(func_def_2265,type,
    iG834: ( nat * rat ) > rat ).

tff(func_def_2266,type,
    iG835: ( int * int ) > int ).

tff(func_def_2267,type,
    iG836: ( int * int ) > int ).

tff(func_def_2268,type,
    iG837: ( int * int ) > int ).

tff(func_def_2269,type,
    iG838: ( int * int ) > int ).

tff(func_def_2270,type,
    iG847: nat > real ).

tff(func_def_2271,type,
    iG848: nat > int ).

tff(func_def_2272,type,
    iG849: nat > complex ).

tff(func_def_2273,type,
    iG850: nat > code_integer ).

tff(func_def_2274,type,
    iG851: nat > rat ).

tff(func_def_2275,type,
    iG852: ( nat * code_integer ) > code_integer ).

tff(func_def_2276,type,
    iG853: ( nat * int ) > int ).

tff(func_def_2277,type,
    iG854: ( nat * nat ) > nat ).

tff(func_def_2278,type,
    bG855: nat > $o ).

tff(func_def_2279,type,
    bG856: nat > $o ).

tff(func_def_2280,type,
    bG857: nat > $o ).

tff(func_def_2281,type,
    bG858: nat > $o ).

tff(func_def_2282,type,
    bG859: ( nat * nat ) > $o ).

tff(func_def_2283,type,
    bG860: ( nat * nat ) > $o ).

tff(func_def_2284,type,
    bG861: ( nat * nat ) > $o ).

tff(func_def_2285,type,
    bG862: nat > $o ).

tff(func_def_2286,type,
    bG863: nat > $o ).

tff(func_def_2287,type,
    bG864: nat > $o ).

tff(func_def_2288,type,
    iG865: ( nat * nat ) > fun_int_int ).

tff(func_def_2289,type,
    iG866: int > int ).

tff(func_def_2290,type,
    iG867: ( nat * nat * int ) > int ).

tff(func_def_2291,type,
    iG868: ( nat * nat * nat ) > nat ).

tff(func_def_2292,type,
    iG869: ( nat * nat * int ) > int ).

tff(func_def_2293,type,
    iG870: ( nat * nat * nat ) > nat ).

tff(func_def_2294,type,
    iG871: ( nat * nat * int ) > int ).

tff(func_def_2295,type,
    iG872: ( nat * nat * nat ) > nat ).

tff(func_def_2296,type,
    lG873: num > complex ).

tff(func_def_2297,type,
    lG874: num > real ).

tff(func_def_2298,type,
    lG875: num > rat ).

tff(func_def_2299,type,
    lG876: num > nat ).

tff(func_def_2300,type,
    lG877: num > int ).

tff(func_def_2301,type,
    lG878: ( complex * num ) > complex ).

tff(func_def_2302,type,
    lG879: ( real * num ) > real ).

tff(func_def_2303,type,
    lG880: ( rat * num ) > rat ).

tff(func_def_2304,type,
    lG881: ( nat * num ) > nat ).

tff(func_def_2305,type,
    lG882: ( int * num ) > int ).

tff(func_def_2306,type,
    iG883: ( code_integer * nat ) > code_integer ).

tff(func_def_2307,type,
    iG884: ( int * nat ) > int ).

tff(func_def_2308,type,
    iG885: ( nat * nat ) > nat ).

tff(func_def_2309,type,
    iG886: ( num * num ) > product_prod_nat_nat ).

tff(func_def_2310,type,
    iG887: ( num * num ) > product_prod_int_int ).

tff(func_def_2311,type,
    iG888: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_2312,type,
    iG889: ( num * num ) > product_prod_nat_nat ).

tff(func_def_2313,type,
    iG890: ( num * num ) > product_prod_int_int ).

tff(func_def_2314,type,
    iG891: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_2315,type,
    iG892: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2316,type,
    iG893: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2317,type,
    iG894: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2318,type,
    iG895: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2319,type,
    iG896: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2320,type,
    iG897: ( set_nat * fun_nat_complex ) > complex ).

tff(func_def_2321,type,
    iG898: ( set_nat * fun_nat_rat ) > rat ).

tff(func_def_2322,type,
    iG899: ( set_nat * fun_nat_real ) > real ).

tff(func_def_2323,type,
    iG900: ( set_nat * fun_nat_complex * fun_nat_complex ) > complex ).

tff(func_def_2324,type,
    iG901: ( set_nat * fun_nat_rat * fun_nat_rat ) > rat ).

tff(func_def_2325,type,
    iG902: ( set_nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2326,type,
    iG903: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2327,type,
    iG904: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2328,type,
    iG905: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2329,type,
    iG906: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2330,type,
    iG907: ( num * num ) > product_prod_nat_nat ).

tff(func_def_2331,type,
    iG908: ( num * num ) > product_prod_int_int ).

tff(func_def_2332,type,
    iG909: ( num * num ) > produc8923325533196201883nteger ).

tff(func_def_2333,type,
    iG910: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2334,type,
    iG911: ( complex * nat * nat ) > complex ).

tff(func_def_2335,type,
    iG912: ( nat * nat * complex ) > complex ).

tff(func_def_2336,type,
    iG913: ( rat * nat * nat ) > rat ).

tff(func_def_2337,type,
    iG914: ( nat * nat * rat ) > rat ).

tff(func_def_2338,type,
    iG915: ( real * nat * nat ) > real ).

tff(func_def_2339,type,
    iG916: ( nat * nat * real ) > real ).

tff(func_def_2340,type,
    lG917: int > real ).

tff(func_def_2341,type,
    iG918: int > real ).

tff(func_def_2342,type,
    iG919: int > real ).

tff(func_def_2343,type,
    iG920: int > real ).

tff(func_def_2344,type,
    lG921: int > int ).

tff(func_def_2345,type,
    iG922: int > int ).

tff(func_def_2346,type,
    iG923: int > int ).

tff(func_def_2347,type,
    iG924: int > int ).

tff(func_def_2348,type,
    lG925: int > complex ).

tff(func_def_2349,type,
    iG926: int > complex ).

tff(func_def_2350,type,
    iG927: int > complex ).

tff(func_def_2351,type,
    iG928: int > complex ).

tff(func_def_2352,type,
    lG929: int > code_integer ).

tff(func_def_2353,type,
    iG930: int > code_integer ).

tff(func_def_2354,type,
    iG931: int > code_integer ).

tff(func_def_2355,type,
    iG932: int > code_integer ).

tff(func_def_2356,type,
    lG933: int > rat ).

tff(func_def_2357,type,
    iG934: int > rat ).

tff(func_def_2358,type,
    iG935: int > rat ).

tff(func_def_2359,type,
    iG936: int > rat ).

tff(func_def_2360,type,
    bG937: ( nat * int ) > $o ).

tff(func_def_2361,type,
    bG938: $o > $o ).

tff(func_def_2362,type,
    bG939: $o > $o ).

tff(func_def_2363,type,
    bG940: $o > $o ).

tff(func_def_2364,type,
    bG941: $o > $o ).

tff(func_def_2365,type,
    bG942: $o > $o ).

tff(func_def_2366,type,
    bG943: $o > $o ).

tff(func_def_2367,type,
    bG944: $o > $o ).

tff(func_def_2368,type,
    bG945: $o > $o ).

tff(func_def_2369,type,
    bG946: $o > $o ).

tff(func_def_2370,type,
    bG947: $o > $o ).

tff(func_def_2371,type,
    bG948: $o > $o ).

tff(func_def_2372,type,
    bG949: $o > $o ).

tff(func_def_2373,type,
    bG950: $o > $o ).

tff(func_def_2374,type,
    bG951: $o > $o ).

tff(func_def_2375,type,
    bG952: $o > $o ).

tff(func_def_2376,type,
    iG953: ( nat * int ) > fun_nat_fun_int_int ).

tff(func_def_2377,type,
    iG954: ( nat * nat ) > fun_nat_fun_nat_nat ).

tff(func_def_2378,type,
    iG955: ( nat * nat ) > int ).

tff(func_def_2379,type,
    bG956: ( nat * int ) > $o ).

tff(func_def_2380,type,
    bG963: ( nat * int ) > $o ).

tff(func_def_2381,type,
    bG964: ( nat * int ) > $o ).

tff(func_def_2382,type,
    bG965: ( nat * int ) > $o ).

tff(func_def_2383,type,
    iG966: ( complex * nat * nat ) > complex ).

tff(func_def_2384,type,
    iG967: ( rat * nat * nat ) > rat ).

tff(func_def_2385,type,
    iG968: ( real * nat * nat ) > real ).

tff(func_def_2386,type,
    iG969: nat > int ).

tff(func_def_2387,type,
    iG970: nat > real ).

tff(func_def_2388,type,
    iG971: nat > complex ).

tff(func_def_2389,type,
    iG972: nat > rat ).

tff(func_def_2390,type,
    iG973: nat > nat ).

tff(func_def_2391,type,
    iG974: ( $o * nat * nat ) > nat ).

tff(func_def_2392,type,
    iG975: ( $o * nat * nat ) > int ).

tff(func_def_2393,type,
    iG976: ( complex * nat ) > complex ).

tff(func_def_2394,type,
    iG977: ( rat * nat ) > rat ).

tff(func_def_2395,type,
    iG978: ( real * nat ) > real ).

tff(func_def_2396,type,
    iG979: int > real ).

tff(func_def_2397,type,
    iG980: nat > complex ).

tff(func_def_2398,type,
    iG981: nat > real ).

tff(func_def_2399,type,
    iG982: nat > rat ).

tff(func_def_2400,type,
    iG983: nat > nat ).

tff(func_def_2401,type,
    iG984: nat > int ).

tff(func_def_2402,type,
    iG985: ( nat * int ) > int ).

tff(func_def_2403,type,
    iG986: ( nat * real ) > real ).

tff(func_def_2404,type,
    iG987: ( nat * complex ) > complex ).

tff(func_def_2405,type,
    iG988: ( nat * rat ) > rat ).

tff(func_def_2406,type,
    iG989: ( nat * nat ) > nat ).

tff(func_def_2407,type,
    iG990: ( set_real * real * fun_real_complex ) > complex ).

tff(func_def_2408,type,
    iG991: ( set_nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2409,type,
    iG992: ( set_int * int * fun_int_complex ) > complex ).

tff(func_def_2410,type,
    iG993: ( set_complex * complex * fun_complex_complex ) > complex ).

tff(func_def_2411,type,
    iG994: ( set_real * real * fun_real_real ) > real ).

tff(func_def_2412,type,
    iG995: ( set_nat * nat * fun_nat_real ) > real ).

tff(func_def_2413,type,
    iG996: ( set_int * int * fun_int_real ) > real ).

tff(func_def_2414,type,
    iG997: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_2415,type,
    iG998: ( set_real * real * fun_real_rat ) > rat ).

tff(func_def_2416,type,
    iG999: ( set_nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2417,type,
    iG1000: ( set_real * real * fun_real_complex ) > complex ).

tff(func_def_2418,type,
    iG1001: ( set_nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2419,type,
    iG1002: ( set_int * int * fun_int_complex ) > complex ).

tff(func_def_2420,type,
    iG1003: ( set_complex * complex * fun_complex_complex ) > complex ).

tff(func_def_2421,type,
    iG1004: ( set_real * real * fun_real_real ) > real ).

tff(func_def_2422,type,
    iG1005: ( set_nat * nat * fun_nat_real ) > real ).

tff(func_def_2423,type,
    iG1006: ( set_int * int * fun_int_real ) > real ).

tff(func_def_2424,type,
    iG1007: ( set_complex * complex * fun_complex_real ) > real ).

tff(func_def_2425,type,
    iG1008: ( set_real * real * fun_real_rat ) > rat ).

tff(func_def_2426,type,
    iG1009: ( set_nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2427,type,
    iG1010: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2428,type,
    iG1011: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2429,type,
    iG1012: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2430,type,
    iG1013: ( nat * nat * fun_nat_nat ) > nat ).

tff(func_def_2431,type,
    iG1014: ( nat * nat * fun_nat_int ) > int ).

tff(func_def_2432,type,
    iG1015: nat > real ).

tff(func_def_2433,type,
    iG1016: nat > real ).

tff(func_def_2434,type,
    iG1017: ( nat * nat ) > nat ).

tff(func_def_2435,type,
    iG1018: ( nat * nat ) > nat ).

tff(func_def_2436,type,
    bG1019: ( nat * nat ) > $o ).

tff(func_def_2437,type,
    iG1020: ( int * int * nat * nat ) > int ).

tff(func_def_2438,type,
    iG1021: ( int * int * nat * nat ) > int ).

tff(func_def_2439,type,
    iG1022: int > int ).

tff(func_def_2440,type,
    iG1023: int > int ).

tff(func_def_2441,type,
    bG1024: ( int * int ) > $o ).

tff(func_def_2442,type,
    bG1025: ( nat * nat ) > $o ).

tff(func_def_2443,type,
    iG1026: ( int * int * nat * nat ) > int ).

tff(func_def_2444,type,
    iG1027: ( int * int * nat * nat ) > int ).

tff(func_def_2445,type,
    bG1028: ( int * int ) > $o ).

tff(func_def_2446,type,
    iG1029: ( int * int ) > int ).

tff(func_def_2447,type,
    iG1030: ( int * int ) > int ).

tff(func_def_2448,type,
    bG1031: ( int * int ) > $o ).

tff(func_def_2449,type,
    iG1032: ( int * int ) > int ).

tff(func_def_2450,type,
    iG1033: ( int * int ) > int ).

tff(func_def_2451,type,
    iG1034: int > int ).

tff(func_def_2452,type,
    iG1035: real > real ).

tff(func_def_2453,type,
    iG1036: real > real ).

tff(func_def_2454,type,
    iG1039: ( nat * nat ) > nat ).

tff(func_def_2455,type,
    lG1040: ( int * int ) > int ).

tff(func_def_2456,type,
    iG1041: ( int * int ) > nat ).

tff(func_def_2457,type,
    iG1042: ( int * int ) > nat ).

tff(func_def_2458,type,
    iG1044: ( int * real ) > real ).

tff(func_def_2459,type,
    iG1045: ( int * real ) > real ).

tff(func_def_2460,type,
    iG1046: complex > real ).

tff(func_def_2461,type,
    iG1047: ( int * int ) > int ).

tff(func_def_2462,type,
    iG1048: ( int * int ) > int ).

tff(func_def_2463,type,
    iG1049: ( int * int ) > int ).

tff(func_def_2464,type,
    iG1050: ( int * int ) > int ).

tff(func_def_2465,type,
    iG1051: ( int * int ) > int ).

tff(func_def_2466,type,
    iG1052: ( int * int ) > int ).

tff(func_def_2467,type,
    bG1053: ( int * int ) > $o ).

tff(func_def_2468,type,
    bG1054: ( int * int ) > $o ).

tff(func_def_2469,type,
    bG1055: ( int * int ) > $o ).

tff(func_def_2470,type,
    bG1056: ( int * int ) > $o ).

tff(func_def_2471,type,
    iG1057: ( int * int ) > int ).

tff(func_def_2472,type,
    bG1058: ( int * int ) > $o ).

tff(func_def_2473,type,
    bG1059: ( int * int ) > $o ).

tff(func_def_2474,type,
    iG1060: ( int * int ) > int ).

tff(func_def_2475,type,
    iG1061: ( int * int ) > set_int ).

tff(func_def_2476,type,
    iG1062: ( nat * nat ) > nat ).

tff(func_def_2477,type,
    bG1063: nat > $o ).

tff(func_def_2478,type,
    bG1064: nat > $o ).

tff(func_def_2479,type,
    bG1065: ( nat * nat ) > $o ).

tff(func_def_2480,type,
    bG1066: ( nat * nat ) > $o ).

tff(func_def_2481,type,
    iG1067: ( nat * nat ) > nat ).

tff(func_def_2482,type,
    iG1068: ( nat * nat ) > nat ).

tff(func_def_2483,type,
    bG1069: ( int * int ) > $o ).

tff(func_def_2484,type,
    bG1070: ( int * int ) > $o ).

tff(func_def_2485,type,
    iG1071: ( int * int ) > int ).

tff(func_def_2486,type,
    bG1072: ( int * int ) > $o ).

tff(func_def_2487,type,
    bG1073: ( int * int ) > $o ).

tff(func_def_2488,type,
    iG1074: ( int * int ) > int ).

tff(func_def_2489,type,
    bG1075: nat > $o ).

tff(func_def_2490,type,
    bG1076: nat > $o ).

tff(func_def_2491,type,
    iG1077: ( nat * nat ) > nat ).

tff(func_def_2492,type,
    iG1078: ( nat * nat ) > nat ).

tff(func_def_2493,type,
    bG1079: ( nat * nat ) > $o ).

tff(func_def_2494,type,
    bG1080: nat > $o ).

tff(func_def_2495,type,
    bG1081: nat > $o ).

tff(func_def_2496,type,
    bG1082: ( int * int ) > $o ).

tff(func_def_2497,type,
    iG1083: ( int * int ) > int ).

tff(func_def_2498,type,
    iG1084: ( int * int ) > int ).

tff(func_def_2499,type,
    iG1085: ( int * int ) > int ).

tff(func_def_2500,type,
    iG1086: ( int * int ) > int ).

tff(func_def_2501,type,
    bG1087: int > $o ).

tff(func_def_2502,type,
    bG1088: $o > $o ).

tff(func_def_2503,type,
    bG1089: $o > $o ).

tff(func_def_2504,type,
    iG1090: $o > option_nat ).

tff(func_def_2505,type,
    iG1091: ( $o * $o ) > option_nat ).

tff(func_def_2506,type,
    bG1092: $o > $o ).

tff(func_def_2507,type,
    bG1093: $o > $o ).

tff(func_def_2508,type,
    bG1094: $o > $o ).

tff(func_def_2509,type,
    bG1095: $o > $o ).

tff(func_def_2510,type,
    iG1096: $o > option_nat ).

tff(func_def_2511,type,
    iG1097: ( $o * $o ) > option_nat ).

tff(func_def_2512,type,
    bG1098: $o > $o ).

tff(func_def_2513,type,
    bG1099: $o > $o ).

tff(func_def_2514,type,
    bG1100: $o > $o ).

tff(func_def_2515,type,
    bG1101: $o > $o ).

tff(func_def_2516,type,
    bG1102: $o > $o ).

tff(func_def_2517,type,
    bG1103: $o > $o ).

tff(func_def_2518,type,
    bG1104: $o > $o ).

tff(func_def_2519,type,
    bG1105: $o > $o ).

tff(func_def_2520,type,
    bG1106: $o > $o ).

tff(func_def_2521,type,
    bG1107: $o > $o ).

tff(func_def_2522,type,
    iG1108: ( nat * nat ) > set_nat ).

tff(func_def_2523,type,
    iG1109: ( num * nat ) > set_nat ).

tff(func_def_2524,type,
    bG1110: $o > $o ).

tff(func_def_2525,type,
    bG1111: $o > $o ).

tff(func_def_2526,type,
    iG1112: code_integer > code_integer ).

tff(func_def_2527,type,
    iG1113: code_integer > code_integer ).

tff(func_def_2528,type,
    lG1114: int > code_integer ).

tff(func_def_2529,type,
    iG1115: int > code_integer ).

tff(func_def_2530,type,
    iG1116: int > code_integer ).

tff(func_def_2531,type,
    iG1117: int > code_integer ).

tff(func_def_2532,type,
    iG1118: code_integer > code_integer ).

tff(func_def_2533,type,
    lG1119: num > code_integer ).

tff(func_def_2534,type,
    bG1120: code_integer > $o ).

tff(func_def_2535,type,
    lG1121: num > code_integer ).

tff(func_def_2536,type,
    iG1122: code_integer > produc6271795597528267376eger_o ).

tff(func_def_2537,type,
    iG1123: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2538,type,
    iG1124: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2539,type,
    iG1125: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2540,type,
    iG1126: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2541,type,
    iG1127: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2542,type,
    iG1128: complex > real ).

tff(func_def_2543,type,
    iG1129: complex > real ).

tff(func_def_2544,type,
    iG1130: rat > rat ).

tff(func_def_2545,type,
    iG1131: rat > rat ).

tff(func_def_2546,type,
    iG1132: rat > rat ).

tff(func_def_2547,type,
    iG1133: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2548,type,
    iG1134: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2549,type,
    iG1135: ( nat * nat ) > product_prod_nat_nat ).

tff(func_def_2550,type,
    bG1136: nat > $o ).

tff(func_def_2551,type,
    iG1137: ( int * int ) > int ).

tff(func_def_2552,type,
    iG1138: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2553,type,
    iG1139: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2554,type,
    iG1140: ( nat * nat ) > product_prod_int_int ).

tff(func_def_2555,type,
    lG1141: product_prod_int_int > int ).

tff(func_def_2556,type,
    lG1142: product_prod_int_int > int ).

tff(func_def_2557,type,
    iG1143: product_prod_int_int > product_prod_int_int ).

tff(func_def_2558,type,
    iG1144: product_prod_int_int > product_prod_int_int ).

tff(func_def_2559,type,
    iG1145: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2560,type,
    iG1146: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2561,type,
    iG1147: ( code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2562,type,
    iG1148: code_integer > nat ).

tff(func_def_2563,type,
    iG1149: code_integer > int ).

tff(func_def_2564,type,
    iG1150: code_integer > int ).

tff(func_def_2565,type,
    iG1151: nat > num ).

tff(func_def_2566,type,
    lG1152: nat > nat ).

tff(func_def_2567,type,
    lG1153: nat > nat ).

tff(func_def_2568,type,
    bG1154: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2569,type,
    bG1155: $o > $o ).

tff(func_def_2570,type,
    bG1156: $o > $o ).

tff(func_def_2571,type,
    lG1157: nat > nat ).

tff(func_def_2572,type,
    lG1158: nat > nat ).

tff(func_def_2573,type,
    bG1159: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2574,type,
    lG1160: nat > nat ).

tff(func_def_2575,type,
    lG1161: nat > nat ).

tff(func_def_2576,type,
    bG1162: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2577,type,
    bG1163: $o > $o ).

tff(func_def_2578,type,
    bG1164: $o > $o ).

tff(func_def_2579,type,
    lG1165: nat > nat ).

tff(func_def_2580,type,
    lG1166: nat > nat ).

tff(func_def_2581,type,
    bG1167: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2582,type,
    bG1168: $o > $o ).

tff(func_def_2583,type,
    bG1169: $o > $o ).

tff(func_def_2584,type,
    lG1170: nat > nat ).

tff(func_def_2585,type,
    lG1171: nat > nat ).

tff(func_def_2586,type,
    bG1172: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2587,type,
    bG1173: $o > $o ).

tff(func_def_2588,type,
    bG1174: $o > $o ).

tff(func_def_2589,type,
    bG1175: $o > $o ).

tff(func_def_2590,type,
    bG1176: $o > $o ).

tff(func_def_2591,type,
    lG1177: nat > nat ).

tff(func_def_2592,type,
    lG1178: nat > nat ).

tff(func_def_2593,type,
    bG1179: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2594,type,
    bG1180: $o > $o ).

tff(func_def_2595,type,
    bG1181: $o > $o ).

tff(func_def_2596,type,
    bG1182: $o > $o ).

tff(func_def_2597,type,
    bG1183: $o > $o ).

tff(func_def_2598,type,
    lG1184: nat > nat ).

tff(func_def_2599,type,
    lG1185: nat > nat ).

tff(func_def_2600,type,
    bG1186: ( vEBT_VEBT * list_VEBT_VEBT ) > $o ).

tff(func_def_2601,type,
    bG1187: $o > $o ).

tff(func_def_2602,type,
    bG1188: $o > $o ).

tff(func_def_2603,type,
    bG1189: $o > $o ).

tff(func_def_2604,type,
    bG1190: $o > $o ).

tff(func_def_2605,type,
    iG1191: ( num * nat ) > option_num ).

tff(func_def_2606,type,
    iG1192: ( nat * nat ) > set_nat ).

tff(func_def_2607,type,
    iG1193: ( nat * nat * nat ) > set_nat ).

tff(func_def_2608,type,
    iG1194: real > set_real ).

tff(func_def_2609,type,
    iG1195: ( nat * real ) > real ).

tff(func_def_2610,type,
    bG1196: $o > $o ).

tff(func_def_2611,type,
    bG1197: $o > $o ).

tff(func_def_2612,type,
    bG1198: $o > $o ).

tff(func_def_2613,type,
    bG1199: $o > $o ).

tff(func_def_2614,type,
    bG1200: $o > $o ).

tff(func_def_2615,type,
    bG1201: $o > $o ).

tff(func_def_2616,type,
    bG1202: $o > $o ).

tff(func_def_2617,type,
    bG1203: $o > $o ).

tff(func_def_2618,type,
    bG1204: $o > $o ).

tff(func_def_2619,type,
    bG1205: $o > $o ).

tff(func_def_2620,type,
    bG1206: $o > $o ).

tff(func_def_2621,type,
    bG1207: $o > $o ).

tff(func_def_2622,type,
    bG1208: $o > $o ).

tff(func_def_2623,type,
    bG1209: $o > $o ).

tff(func_def_2624,type,
    bG1210: $o > $o ).

tff(func_def_2625,type,
    bG1211: $o > $o ).

tff(func_def_2626,type,
    iG1213: code_integer > num ).

tff(func_def_2627,type,
    iG1214: ( nat * nat ) > nat ).

tff(func_def_2628,type,
    iG1215: ( int * int * list_int ) > list_int ).

tff(func_def_2629,type,
    iG1216: ( int * int ) > list_int ).

tff(func_def_2630,type,
    iG1217: ( int * int ) > list_int ).

tff(func_def_2631,type,
    iG1218: ( num * num ) > list_int ).

tff(func_def_2632,type,
    iG1219: ( num * num ) > list_int ).

tff(func_def_2633,type,
    iG1220: ( num * num ) > list_int ).

tff(func_def_2634,type,
    iG1221: ( num * num ) > list_int ).

tff(func_def_2635,type,
    iG1222: ( int * int ) > list_int ).

tff(func_def_2636,type,
    iG1223: ( int * int ) > list_int ).

tff(func_def_2637,type,
    iG1224: ( num * num ) > list_nat ).

tff(func_def_2638,type,
    iG1225: ( nat * nat ) > list_nat ).

tff(func_def_2639,type,
    iG1226: ( nat * nat ) > list_nat ).

tff(func_def_2640,type,
    iG1227: fun_nat_rat > real ).

tff(func_def_2641,type,
    iG1228: fun_nat_rat > fun_nat_rat ).

tff(func_def_2642,type,
    iG1229: int > int ).

tff(func_def_2643,type,
    iG1230: fun_nat_rat > fun_nat_rat ).

tff(func_def_2644,type,
    iG1231: ( nat * fun_nat_real ) > real ).

tff(func_def_2645,type,
    iG1232: ( int * int ) > product_prod_int_int ).

tff(func_def_2646,type,
    lG1233: code_integer > int ).

tff(func_def_2647,type,
    iG1234: ( code_integer * code_integer ) > int ).

tff(func_def_2648,type,
    lG1235: nat > complex ).

tff(func_def_2649,type,
    iG1236: ( nat * nat ) > complex ).

tff(func_def_2650,type,
    lG1237: nat > real ).

tff(func_def_2651,type,
    iG1238: ( nat * nat ) > real ).

tff(func_def_2652,type,
    lG1239: nat > rat ).

tff(func_def_2653,type,
    iG1240: ( nat * nat ) > rat ).

tff(func_def_2654,type,
    lG1241: nat > nat ).

tff(func_def_2655,type,
    iG1242: ( nat * nat ) > nat ).

tff(func_def_2656,type,
    lG1243: nat > int ).

tff(func_def_2657,type,
    iG1244: ( nat * nat ) > int ).

tff(func_def_2658,type,
    lG1245: code_integer > num ).

tff(func_def_2659,type,
    lG1246: code_integer > num ).

tff(func_def_2660,type,
    iG1247: ( code_integer * code_integer ) > num ).

tff(func_def_2661,type,
    lG1248: code_integer > nat ).

tff(func_def_2662,type,
    lG1249: code_integer > nat ).

tff(func_def_2663,type,
    iG1250: ( code_integer * code_integer ) > nat ).

tff(func_def_2664,type,
    bG1251: $o > $o ).

tff(func_def_2665,type,
    iG1252: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2666,type,
    iG1253: ( nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2667,type,
    iG1254: ( code_integer * num * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2668,type,
    iG1255: ( nat * num * nat ) > product_prod_nat_nat ).

tff(func_def_2669,type,
    iG1256: ( int * num * int ) > product_prod_int_int ).

tff(func_def_2670,type,
    iG1257: ( complex * complex * fun_complex_complex ) > complex ).

tff(func_def_2671,type,
    iG1258: ( complex * complex * fun_complex_real ) > real ).

tff(func_def_2672,type,
    iG1259: ( real * real * fun_real_complex ) > complex ).

tff(func_def_2673,type,
    iG1260: ( real * real * fun_real_real ) > real ).

tff(func_def_2674,type,
    iG1261: ( real * real * fun_real_rat ) > rat ).

tff(func_def_2675,type,
    iG1262: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2676,type,
    iG1263: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2677,type,
    iG1264: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2678,type,
    iG1265: ( int * int * fun_int_complex ) > complex ).

tff(func_def_2679,type,
    iG1266: ( int * int * fun_int_real ) > real ).

tff(func_def_2680,type,
    iG1267: ( complex * complex * fun_complex_complex ) > complex ).

tff(func_def_2681,type,
    iG1268: ( complex * complex * fun_complex_real ) > real ).

tff(func_def_2682,type,
    iG1269: ( real * real * fun_real_complex ) > complex ).

tff(func_def_2683,type,
    iG1270: ( real * real * fun_real_real ) > real ).

tff(func_def_2684,type,
    iG1271: ( real * real * fun_real_rat ) > rat ).

tff(func_def_2685,type,
    iG1272: ( nat * nat * fun_nat_complex ) > complex ).

tff(func_def_2686,type,
    iG1273: ( nat * nat * fun_nat_real ) > real ).

tff(func_def_2687,type,
    iG1274: ( nat * nat * fun_nat_rat ) > rat ).

tff(func_def_2688,type,
    iG1275: ( int * int * fun_int_complex ) > complex ).

tff(func_def_2689,type,
    iG1276: ( int * int * fun_int_real ) > real ).

tff(func_def_2690,type,
    iG1277: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2691,type,
    iG1278: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2692,type,
    iG1279: ( code_integer * code_integer * code_integer ) > produc8923325533196201883nteger ).

tff(func_def_2693,type,
    iG1280: ( complex * fun_complex_o * fun_complex_complex ) > complex ).

tff(func_def_2694,type,
    iG1281: ( complex * fun_complex_o * fun_complex_real ) > real ).

tff(func_def_2695,type,
    iG1282: ( real * fun_real_o * fun_real_complex ) > complex ).

tff(func_def_2696,type,
    iG1283: ( real * fun_real_o * fun_real_real ) > real ).

tff(func_def_2697,type,
    iG1284: ( real * fun_real_o * fun_real_rat ) > rat ).

tff(func_def_2698,type,
    iG1285: ( nat * fun_nat_o * fun_nat_complex ) > complex ).

tff(func_def_2699,type,
    iG1286: ( nat * fun_nat_o * fun_nat_real ) > real ).

tff(func_def_2700,type,
    iG1287: ( nat * fun_nat_o * fun_nat_rat ) > rat ).

tff(func_def_2701,type,
    iG1288: ( int * fun_int_o * fun_int_complex ) > complex ).

tff(func_def_2702,type,
    iG1289: ( int * fun_int_o * fun_int_real ) > real ).

tff(func_def_2703,type,
    iG1290: ( nat * nat ) > complex ).

tff(func_def_2704,type,
    iG1291: ( nat * nat ) > real ).

tff(func_def_2705,type,
    iG1292: ( nat * nat ) > int ).

tff(func_def_2706,type,
    iG1293: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_2707,type,
    bG1294: code_integer > $o ).

tff(func_def_2708,type,
    iG1295: ( set_nat * nat * fun_nat_real * fun_nat_real ) > real ).

tff(func_def_2709,type,
    bG1297: $o > $o ).

tff(func_def_2710,type,
    bG1298: $o > $o ).

tff(func_def_2711,type,
    bG1299: $o > $o ).

tff(func_def_2712,type,
    bG1300: $o > $o ).

tff(func_def_2713,type,
    sK1375: ( nat * fun_nat_o ) > nat ).

tff(func_def_2714,type,
    sK1376: ( nat * fun_nat_o ) > nat ).

tff(func_def_2715,type,
    sK1377: fun_nat_real > nat ).

tff(func_def_2716,type,
    sK1378: fun_nat_real > nat ).

tff(func_def_2717,type,
    sK1379: fun_nat_real > nat ).

tff(func_def_2718,type,
    sK1380: fun_nat_real > nat ).

tff(func_def_2719,type,
    sK1381: fun_nat_real > nat ).

tff(func_def_2720,type,
    sK1382: fun_nat_real > nat ).

tff(func_def_2721,type,
    sK1383: fun_nat_fun_nat_o > nat ).

tff(func_def_2722,type,
    sK1384: fun_nat_fun_nat_o > nat ).

tff(func_def_2723,type,
    sK1385: fun_nat_fun_nat_o > nat ).

tff(func_def_2724,type,
    sK1386: fun_nat_fun_nat_o > nat ).

tff(func_def_2725,type,
    sK1387: fun_nat_fun_nat_o > nat ).

tff(func_def_2726,type,
    sK1388: fun_nat_o > nat ).

tff(func_def_2727,type,
    sK1389: ( fun_nat_o * nat ) > nat ).

tff(func_def_2728,type,
    sK1390: fun_nat_o > nat ).

tff(func_def_2729,type,
    sK1391: fun_nat_o > nat ).

tff(func_def_2730,type,
    sK1392: nat > nat ).

tff(func_def_2731,type,
    sK1393: fun_nat_fun_nat_o > nat ).

tff(func_def_2732,type,
    sK1394: fun_nat_fun_nat_o > nat ).

tff(func_def_2733,type,
    sK1395: fun_nat_fun_nat_o > nat ).

tff(func_def_2734,type,
    sK1396: fun_nat_fun_nat_o > nat ).

tff(func_def_2735,type,
    sK1397: nat > nat ).

tff(func_def_2736,type,
    sK1398: nat > nat ).

tff(func_def_2737,type,
    sK1399: nat > nat ).

tff(func_def_2738,type,
    sK1400: nat > nat ).

tff(func_def_2739,type,
    sK1401: nat > nat ).

tff(func_def_2740,type,
    sK1402: nat > nat ).

tff(func_def_2741,type,
    sK1403: nat > nat ).

tff(func_def_2742,type,
    sK1404: nat > nat ).

tff(func_def_2743,type,
    sK1405: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2744,type,
    sK1406: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2745,type,
    sK1407: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2746,type,
    sK1408: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2747,type,
    sK1409: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2748,type,
    sK1410: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2749,type,
    sK1411: nat > nat ).

tff(func_def_2750,type,
    sK1412: nat > nat ).

tff(func_def_2751,type,
    sK1413: nat > nat ).

tff(func_def_2752,type,
    sK1414: nat > nat ).

tff(func_def_2753,type,
    sK1415: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2754,type,
    sK1416: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2755,type,
    sK1417: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2756,type,
    sK1418: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2757,type,
    sK1419: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_2758,type,
    sK1420: ( fun_nat_o * fun_nat_o * nat ) > nat ).

tff(func_def_2759,type,
    sK1421: ( fun_nat_o * nat ) > nat ).

tff(func_def_2760,type,
    sK1422: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_2761,type,
    sK1423: ( nat * nat * fun_nat_o ) > nat ).

tff(func_def_2762,type,
    sK1424: ( nat * nat ) > nat ).

tff(func_def_2763,type,
    sK1425: nat > nat ).

tff(func_def_2764,type,
    sK1426: ( nat * fun_nat_o ) > nat ).

tff(func_def_2765,type,
    sK1427: ( nat * fun_nat_o ) > nat ).

tff(func_def_2766,type,
    sK1428: nat > nat ).

tff(func_def_2767,type,
    sK1429: ( nat * fun_nat_o ) > nat ).

tff(func_def_2768,type,
    sK1430: ( nat * fun_nat_o ) > nat ).

tff(func_def_2769,type,
    sK1431: fun_nat_nat > nat ).

tff(func_def_2770,type,
    sK1432: fun_nat_nat > nat ).

tff(func_def_2771,type,
    sK1433: fun_nat_nat > nat ).

tff(func_def_2772,type,
    sK1434: fun_nat_real > nat ).

tff(func_def_2773,type,
    sK1435: fun_nat_nat > nat ).

tff(func_def_2774,type,
    sK1436: fun_nat_real > nat ).

tff(func_def_2775,type,
    sK1437: nat > nat ).

tff(func_def_2776,type,
    sK1438: fun_nat_o > nat ).

tff(func_def_2777,type,
    sK1439: ( nat * fun_nat_o ) > nat ).

tff(func_def_2778,type,
    sK1440: fun_nat_fun_nat_o > nat ).

tff(func_def_2779,type,
    sK1441: fun_nat_fun_nat_o > nat ).

tff(func_def_2780,type,
    sK1442: fun_nat_fun_nat_o > nat ).

tff(func_def_2781,type,
    sK1443: fun_nat_fun_nat_o > nat ).

tff(func_def_2782,type,
    sK1444: fun_nat_fun_nat_o > nat ).

tff(func_def_2783,type,
    sK1445: ( nat * nat ) > nat ).

tff(func_def_2784,type,
    sK1446: ( nat * nat ) > nat ).

tff(func_def_2785,type,
    sK1447: ( nat * fun_nat_o ) > nat ).

tff(func_def_2786,type,
    sK1448: ( nat * fun_nat_o ) > nat ).

tff(func_def_2787,type,
    sK1449: ( nat * fun_nat_o ) > nat ).

tff(func_def_2788,type,
    sK1450: ( nat * fun_nat_o ) > nat ).

tff(func_def_2789,type,
    sK1451: ( nat * nat ) > nat ).

tff(func_def_2790,type,
    sK1452: fun_nat_fun_nat_o > nat ).

tff(func_def_2791,type,
    sK1453: fun_nat_fun_nat_o > nat ).

tff(func_def_2792,type,
    sK1454: fun_nat_fun_nat_o > nat ).

tff(func_def_2793,type,
    sK1455: fun_nat_fun_nat_o > nat ).

tff(func_def_2794,type,
    sK1456: ( nat * fun_nat_o ) > nat ).

tff(func_def_2795,type,
    sK1457: ( nat * fun_nat_o ) > nat ).

tff(func_def_2796,type,
    sK1458: fun_nat_o > nat ).

tff(func_def_2797,type,
    sK1459: fun_nat_fun_nat_o > nat ).

tff(func_def_2798,type,
    sK1460: fun_nat_fun_nat_o > nat ).

tff(func_def_2799,type,
    sK1461: fun_nat_fun_nat_o > nat ).

tff(func_def_2800,type,
    sK1462: fun_nat_fun_nat_o > nat ).

tff(func_def_2801,type,
    sK1463: fun_nat_o > nat ).

tff(func_def_2802,type,
    sK1464: fun_nat_o > nat ).

tff(func_def_2803,type,
    sK1465: ( fun_nat_o * nat ) > nat ).

tff(func_def_2804,type,
    sK1466: ( fun_nat_o * nat ) > nat ).

tff(func_def_2805,type,
    sK1467: fun_nat_o > nat ).

tff(func_def_2806,type,
    sK1468: fun_nat_nat > nat ).

tff(func_def_2807,type,
    sK1469: fun_nat_nat > nat ).

tff(func_def_2808,type,
    sK1470: fun_nat_o > nat ).

tff(func_def_2809,type,
    sK1471: ( fun_nat_o * nat ) > nat ).

tff(func_def_2810,type,
    sK1472: fun_nat_o > nat ).

tff(func_def_2811,type,
    sK1473: fun_nat_o > nat ).

tff(func_def_2812,type,
    sK1474: fun_nat_o > nat ).

tff(func_def_2813,type,
    sK1475: fun_nat_o > nat ).

tff(func_def_2814,type,
    sK1476: fun_nat_o > nat ).

tff(func_def_2815,type,
    sK1477: ( nat * nat ) > nat ).

tff(func_def_2816,type,
    sK1478: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2817,type,
    sK1479: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2818,type,
    sK1480: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2819,type,
    sK1481: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2820,type,
    sK1482: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2821,type,
    sK1483: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2822,type,
    sK1484: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2823,type,
    sK1485: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2824,type,
    sK1486: list_VEBT_VEBT > nat ).

tff(func_def_2825,type,
    sK1487: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2826,type,
    sK1488: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2827,type,
    sK1489: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > nat ).

tff(func_def_2828,type,
    sK1490: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2829,type,
    sK1491: ( nat * nat * list_VEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2830,type,
    sK1492: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_2831,type,
    sK1493: list_VEBT_VEBT > nat ).

tff(func_def_2832,type,
    sK1494: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_2833,type,
    sK1495: ( vEBT_VEBT * nat * nat ) > nat ).

tff(func_def_2834,type,
    sK1496: ( set_nat * nat ) > nat ).

tff(func_def_2835,type,
    sK1497: ( nat * set_nat ) > nat ).

tff(func_def_2836,type,
    sK1498: ( set_nat * nat * nat ) > nat ).

tff(func_def_2837,type,
    sK1499: nat > nat ).

tff(func_def_2838,type,
    sK1500: nat > nat ).

tff(func_def_2839,type,
    sK1501: nat ).

tff(func_def_2840,type,
    sK1502: nat > nat ).

tff(func_def_2841,type,
    sK1503: fun_nat_rat > nat ).

tff(func_def_2842,type,
    sK1504: fun_nat_rat > nat ).

tff(func_def_2843,type,
    sK1505: fun_nat_rat > nat ).

tff(func_def_2844,type,
    sK1506: fun_nat_rat > nat ).

tff(func_def_2845,type,
    sK1507: fun_nat_rat > nat ).

tff(func_def_2846,type,
    sK1508: fun_nat_rat > nat ).

tff(func_def_2847,type,
    sK1509: ( nat * nat ) > nat ).

tff(func_def_2848,type,
    sK1510: ( nat * nat ) > nat ).

tff(func_def_2849,type,
    sK1511: ( nat * nat ) > nat ).

tff(func_def_2850,type,
    sK1512: ( nat * nat ) > nat ).

tff(func_def_2851,type,
    sK1513: fun_nat_o > nat ).

tff(func_def_2852,type,
    sK1514: ( nat * nat ) > nat ).

tff(func_def_2853,type,
    sK1515: ( nat * nat ) > nat ).

tff(func_def_2854,type,
    sK1516: ( nat * nat ) > nat ).

tff(func_def_2855,type,
    sK1517: fun_nat_int > nat ).

tff(func_def_2856,type,
    sK1518: fun_nat_rat > nat ).

tff(func_def_2857,type,
    sK1519: fun_nat_int > nat ).

tff(func_def_2858,type,
    sK1520: fun_nat_rat > nat ).

tff(func_def_2859,type,
    sK1521: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2860,type,
    sK1522: ( fun_nat_o * nat * nat ) > nat ).

tff(func_def_2861,type,
    sK1523: ( nat * nat ) > nat ).

tff(func_def_2862,type,
    sK1524: ( nat * nat ) > nat ).

tff(func_def_2863,type,
    sK1525: ( nat * real ) > real ).

tff(func_def_2864,type,
    sK1526: ( nat * real ) > real ).

tff(func_def_2865,type,
    sK1527: fun_nat_nat > nat ).

tff(func_def_2866,type,
    sK1528: fun_nat_nat > nat ).

tff(func_def_2867,type,
    sK1529: fun_nat_rat > nat ).

tff(func_def_2868,type,
    sK1530: fun_nat_rat > nat ).

tff(func_def_2869,type,
    sK1531: fun_nat_rat > nat ).

tff(func_def_2870,type,
    sK1532: fun_nat_rat > nat ).

tff(func_def_2871,type,
    sK1533: fun_nat_rat > nat ).

tff(func_def_2872,type,
    sK1534: fun_nat_rat > nat ).

tff(func_def_2873,type,
    sK1535: fun_nat_rat > nat ).

tff(func_def_2874,type,
    sK1536: fun_nat_rat > nat ).

tff(func_def_2875,type,
    sK1537: fun_nat_int > nat ).

tff(func_def_2876,type,
    sK1538: fun_nat_rat > nat ).

tff(func_def_2877,type,
    sK1539: fun_nat_int > nat ).

tff(func_def_2878,type,
    sK1540: fun_nat_rat > nat ).

tff(func_def_2879,type,
    sK1541: ( nat * nat ) > nat ).

tff(func_def_2880,type,
    sK1542: ( nat * nat ) > nat ).

tff(func_def_2881,type,
    sK1543: ( nat * nat ) > nat ).

tff(func_def_2882,type,
    sK1544: ( nat * nat ) > nat ).

tff(func_def_2883,type,
    sK1545: ( nat * nat ) > nat ).

tff(func_def_2884,type,
    sK1546: ( nat * nat ) > nat ).

tff(func_def_2885,type,
    sK1547: fun_real_real > real ).

tff(func_def_2886,type,
    sK1548: fun_real_real > real ).

tff(func_def_2887,type,
    sK1549: fun_real_real > real ).

tff(func_def_2888,type,
    sK1550: fun_real_real > real ).

tff(func_def_2889,type,
    sK1551: ( real * real * real ) > real ).

tff(func_def_2890,type,
    sK1552: ( real * real * real ) > real ).

tff(func_def_2891,type,
    sK1553: ( real * real ) > real ).

tff(func_def_2892,type,
    sK1554: ( real * real ) > real ).

tff(func_def_2893,type,
    sK1555: fun_real_real > real ).

tff(func_def_2894,type,
    sK1556: fun_real_real > real ).

tff(func_def_2895,type,
    sK1557: fun_real_real > real ).

tff(func_def_2896,type,
    sK1558: fun_real_real > real ).

tff(func_def_2897,type,
    sK1559: fun_real_real > real ).

tff(func_def_2898,type,
    sK1560: fun_real_real > real ).

tff(func_def_2899,type,
    sK1561: fun_real_real > real ).

tff(func_def_2900,type,
    sK1562: fun_real_real > real ).

tff(func_def_2901,type,
    sK1563: fun_real_fun_real_o > real ).

tff(func_def_2902,type,
    sK1564: fun_real_fun_real_o > real ).

tff(func_def_2903,type,
    sK1565: fun_real_fun_real_o > real ).

tff(func_def_2904,type,
    sK1566: fun_real_fun_real_o > real ).

tff(func_def_2905,type,
    sK1567: fun_real_fun_real_o > real ).

tff(func_def_2906,type,
    sK1568: ( real * real ) > real ).

tff(func_def_2907,type,
    sK1569: real > real ).

tff(func_def_2908,type,
    sK1570: real > real ).

tff(func_def_2909,type,
    sK1571: real > real ).

tff(func_def_2910,type,
    sK1572: real > real ).

tff(func_def_2911,type,
    sK1573: real > real ).

tff(func_def_2912,type,
    sK1574: real > real ).

tff(func_def_2913,type,
    sK1575: real > real ).

tff(func_def_2914,type,
    sK1576: real > real ).

tff(func_def_2915,type,
    sK1577: real > real ).

tff(func_def_2916,type,
    sK1578: real > real ).

tff(func_def_2917,type,
    sK1579: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2918,type,
    sK1580: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2919,type,
    sK1581: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2920,type,
    sK1582: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2921,type,
    sK1583: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2922,type,
    sK1584: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2923,type,
    sK1585: real > real ).

tff(func_def_2924,type,
    sK1586: real > real ).

tff(func_def_2925,type,
    sK1587: real > real ).

tff(func_def_2926,type,
    sK1588: real > real ).

tff(func_def_2927,type,
    sK1589: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2928,type,
    sK1590: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2929,type,
    sK1591: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2930,type,
    sK1592: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2931,type,
    sK1593: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > real ).

tff(func_def_2932,type,
    sK1594: ( fun_real_o * fun_real_o * real ) > real ).

tff(func_def_2933,type,
    sK1595: ( real * real ) > real ).

tff(func_def_2934,type,
    sK1596: ( real * real ) > real ).

tff(func_def_2935,type,
    sK1597: real > real ).

tff(func_def_2936,type,
    sK1598: real > real ).

tff(func_def_2937,type,
    sK1599: ( fun_real_fun_real_o * real * real ) > real ).

tff(func_def_2938,type,
    sK1600: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_2939,type,
    sK1601: ( fun_real_fun_real_o * real * real * real ) > real ).

tff(func_def_2940,type,
    sK1602: fun_real_fun_real_o > real ).

tff(func_def_2941,type,
    sK1603: fun_real_fun_real_o > real ).

tff(func_def_2942,type,
    sK1604: fun_real_fun_real_o > real ).

tff(func_def_2943,type,
    sK1605: ( real * nat ) > real ).

tff(func_def_2944,type,
    sK1606: ( real * real ) > nat ).

tff(func_def_2945,type,
    sK1607: ( real * real ) > real ).

tff(func_def_2946,type,
    sK1608: ( real * real ) > nat ).

tff(func_def_2947,type,
    sK1609: fun_nat_fun_nat_o > nat ).

tff(func_def_2948,type,
    sK1610: fun_nat_fun_nat_o > nat ).

tff(func_def_2949,type,
    sK1611: fun_nat_fun_nat_o > nat ).

tff(func_def_2950,type,
    sK1612: fun_nat_fun_nat_o > nat ).

tff(func_def_2951,type,
    sK1613: fun_nat_fun_nat_o > nat ).

tff(func_def_2952,type,
    sK1614: fun_nat_o > nat ).

tff(func_def_2953,type,
    sK1615: nat > nat ).

tff(func_def_2954,type,
    sK1616: nat > nat ).

tff(func_def_2955,type,
    sK1617: nat > nat ).

tff(func_def_2956,type,
    sK1618: nat > nat ).

tff(func_def_2957,type,
    sK1619: ( fun_nat_o * nat ) > nat ).

tff(func_def_2958,type,
    sK1620: ( fun_nat_o * nat ) > nat ).

tff(func_def_2959,type,
    sK1621: ( nat * nat ) > nat ).

tff(func_def_2960,type,
    sK1622: ( nat * nat ) > nat ).

tff(func_def_2961,type,
    sK1623: ( nat * nat ) > nat ).

tff(func_def_2962,type,
    sK1624: ( nat * nat ) > nat ).

tff(func_def_2963,type,
    sK1625: ( nat * nat ) > nat ).

tff(func_def_2964,type,
    sK1626: ( nat * nat ) > nat ).

tff(func_def_2965,type,
    sK1627: ( nat * nat ) > nat ).

tff(func_def_2966,type,
    sK1628: ( nat * nat ) > nat ).

tff(func_def_2967,type,
    sK1629: ( nat * nat ) > nat ).

tff(func_def_2968,type,
    sK1630: ( nat * nat ) > nat ).

tff(func_def_2969,type,
    sK1631: ( nat * nat * nat ) > nat ).

tff(func_def_2970,type,
    sK1632: ( nat * nat * nat ) > nat ).

tff(func_def_2971,type,
    sK1633: ( nat * nat ) > nat ).

tff(func_def_2972,type,
    sK1634: ( nat * nat ) > nat ).

tff(func_def_2973,type,
    sK1635: ( nat * nat * nat ) > nat ).

tff(func_def_2974,type,
    sK1636: ( nat * nat * nat ) > nat ).

tff(func_def_2975,type,
    sK1637: ( nat * nat * nat ) > nat ).

tff(func_def_2976,type,
    sK1638: ( nat * nat * nat ) > nat ).

tff(func_def_2977,type,
    sK1639: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_2978,type,
    sK1640: ( nat * fun_nat_o * nat ) > nat ).

tff(func_def_2979,type,
    sK1641: ( nat * nat ) > nat ).

tff(func_def_2980,type,
    sK1642: ( nat * nat * nat ) > nat ).

tff(func_def_2981,type,
    sK1643: ( nat * nat * nat ) > nat ).

tff(func_def_2982,type,
    sK1644: ( nat * nat * nat ) > nat ).

tff(func_def_2983,type,
    sK1645: ( nat * nat * nat ) > nat ).

tff(func_def_2984,type,
    sK1646: ( nat * nat * nat ) > nat ).

tff(func_def_2985,type,
    sK1647: fun_real_fun_real_o > real ).

tff(func_def_2986,type,
    sK1648: ( real * fun_real_o ) > real ).

tff(func_def_2987,type,
    sK1649: ( real * fun_real_o ) > real ).

tff(func_def_2988,type,
    sK1650: ( fun_real_o * real ) > real ).

tff(func_def_2989,type,
    sK1651: ( fun_real_o * real ) > real ).

tff(func_def_2990,type,
    sK1652: ( real * fun_real_o ) > real ).

tff(func_def_2991,type,
    sK1653: ( real * fun_real_o ) > real ).

tff(func_def_2992,type,
    sK1654: ( fun_real_o * real ) > real ).

tff(func_def_2993,type,
    sK1655: ( fun_real_o * real ) > real ).

tff(func_def_2994,type,
    sK1656: real > nat ).

tff(func_def_2995,type,
    sK1657: fun_num_real > num ).

tff(func_def_2996,type,
    sK1658: fun_num_real > num ).

tff(func_def_2997,type,
    sK1659: fun_num_real > num ).

tff(func_def_2998,type,
    sK1660: fun_num_real > num ).

tff(func_def_2999,type,
    sK1661: ( real * real * real ) > real ).

tff(func_def_3000,type,
    sK1662: ( real * real * real ) > real ).

tff(func_def_3001,type,
    sK1663: real > nat ).

tff(func_def_3002,type,
    sK1664: real > nat ).

tff(func_def_3003,type,
    sK1665: real > nat ).

tff(func_def_3004,type,
    sK1666: real > nat ).

tff(func_def_3005,type,
    sK1667: real > nat ).

tff(func_def_3006,type,
    sK1668: real > nat ).

tff(func_def_3007,type,
    sK1669: real > nat ).

tff(func_def_3008,type,
    sK1670: real > nat ).

tff(func_def_3009,type,
    sK1671: ( nat * fun_nat_real * real ) > nat ).

tff(func_def_3010,type,
    sK1672: ( real * real ) > nat ).

tff(func_def_3011,type,
    sK1673: real > nat ).

tff(func_def_3012,type,
    sK1674: real > nat ).

tff(func_def_3013,type,
    sK1675: ( real * real ) > nat ).

tff(func_def_3014,type,
    sK1676: ( real * real ) > nat ).

tff(func_def_3015,type,
    sK1677: fun_nat_fun_nat_o > nat ).

tff(func_def_3016,type,
    sK1678: fun_nat_fun_nat_o > nat ).

tff(func_def_3017,type,
    sK1679: fun_nat_fun_nat_o > nat ).

tff(func_def_3018,type,
    sK1680: ( fun_nat_o * nat ) > nat ).

tff(func_def_3019,type,
    sK1681: ( fun_nat_o * int ) > nat ).

tff(func_def_3020,type,
    sK1682: int > nat ).

tff(func_def_3021,type,
    sK1683: int > nat ).

tff(func_def_3022,type,
    sK1684: int > nat ).

tff(func_def_3023,type,
    sK1685: int > nat ).

tff(func_def_3024,type,
    sK1686: int > nat ).

tff(func_def_3025,type,
    sK1687: int > nat ).

tff(func_def_3026,type,
    sK1688: int > nat ).

tff(func_def_3027,type,
    sK1689: ( int * int ) > nat ).

tff(func_def_3028,type,
    sK1690: int > nat ).

tff(func_def_3029,type,
    sK1691: int > nat ).

tff(func_def_3030,type,
    sK1692: ( int * int ) > nat ).

tff(func_def_3031,type,
    sK1693: int > nat ).

tff(func_def_3032,type,
    sK1694: int > nat ).

tff(func_def_3033,type,
    sK1695: int > nat ).

tff(func_def_3034,type,
    sK1696: int > nat ).

tff(func_def_3035,type,
    sK1697: ( int * int ) > int ).

tff(func_def_3036,type,
    sK1698: ( fun_int_o * int * int ) > int ).

tff(func_def_3037,type,
    sK1699: ( fun_int_o * int * int ) > int ).

tff(func_def_3038,type,
    sK1700: ( fun_int_o * int * int ) > int ).

tff(func_def_3039,type,
    sK1701: ( fun_int_o * int * int ) > int ).

tff(func_def_3040,type,
    sK1702: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3041,type,
    sK1703: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3042,type,
    sK1704: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3043,type,
    sK1705: ( int * fun_int_fun_int_o * int ) > int ).

tff(func_def_3044,type,
    sK1706: fun_int_o > int ).

tff(func_def_3045,type,
    sK1707: fun_int_o > int ).

tff(func_def_3046,type,
    sK1708: ( int * fun_int_o ) > int ).

tff(func_def_3047,type,
    sK1709: ( int * fun_int_o ) > int ).

tff(func_def_3048,type,
    sK1710: ( int * fun_int_o ) > int ).

tff(func_def_3049,type,
    sK1711: num > num ).

tff(func_def_3050,type,
    sK1712: num > num ).

tff(func_def_3051,type,
    sK1713: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3052,type,
    sK1714: ( vEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3053,type,
    sK1715: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_3054,type,
    sK1716: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > nat ).

tff(func_def_3055,type,
    sK1717: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3056,type,
    sK1718: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3057,type,
    sK1719: list_VEBT_VEBT > nat ).

tff(func_def_3058,type,
    sK1720: vEBT_VEBT > nat ).

tff(func_def_3059,type,
    sK1721: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3060,type,
    sK1722: list_VEBT_VEBT > vEBT_VEBT ).

tff(func_def_3061,type,
    sK1723: list_VEBT_VEBT > nat ).

tff(func_def_3062,type,
    sK1724: vEBT_VEBT > nat ).

tff(func_def_3063,type,
    sK1725: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3064,type,
    sK1726: ( list_VEBT_VEBT * fun_VEBT_VEBT_o ) > vEBT_VEBT ).

tff(func_def_3065,type,
    sK1727: ( list_VEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3066,type,
    sK1728: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3067,type,
    sK1729: ( list_VEBT_VEBT * list_VEBT_VEBT ) > nat ).

tff(func_def_3068,type,
    sK1730: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3069,type,
    sK1731: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3070,type,
    sK1732: option4927543243414619207at_nat > product_prod_nat_nat ).

tff(func_def_3071,type,
    sK1733: ( vEBT_VEBT * nat ) > option4927543243414619207at_nat ).

tff(func_def_3072,type,
    sK1734: ( vEBT_VEBT * nat ) > list_VEBT_VEBT ).

tff(func_def_3073,type,
    sK1735: ( vEBT_VEBT * nat ) > vEBT_VEBT ).

tff(func_def_3074,type,
    sK1736: vEBT_VEBT > nat ).

tff(func_def_3075,type,
    sK1737: ( vEBT_VEBT * nat ) > nat ).

tff(func_def_3076,type,
    sK1738: option_nat > nat ).

tff(func_def_3077,type,
    sK1739: option_nat > nat ).

tff(func_def_3078,type,
    sK1740: option_nat > nat ).

tff(func_def_3079,type,
    sK1741: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3080,type,
    sK1742: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3081,type,
    sK1743: ( fun_nat_o * fun_nat_o ) > nat ).

tff(func_def_3082,type,
    sK1744: set_nat > nat ).

tff(func_def_3083,type,
    sK1745: ( set_nat * nat ) > nat ).

tff(func_def_3084,type,
    sK1746: ( nat * set_nat ) > nat ).

tff(func_def_3085,type,
    sK1747: set_nat > nat ).

tff(func_def_3086,type,
    sK1748: ( set_nat * nat ) > nat ).

tff(func_def_3087,type,
    sK1749: ( nat * fun_nat_o ) > nat ).

tff(func_def_3088,type,
    sK1750: ( nat * fun_nat_o ) > nat ).

tff(func_def_3089,type,
    sK1751: ( nat * fun_nat_o ) > nat ).

tff(func_def_3090,type,
    sK1752: ( nat * fun_nat_o ) > nat ).

tff(func_def_3091,type,
    sK1753: ( set_nat * nat ) > nat ).

tff(func_def_3092,type,
    sK1754: ( set_nat * nat ) > nat ).

tff(func_def_3093,type,
    sK1755: ( set_nat * nat ) > nat ).

tff(func_def_3094,type,
    sK1756: set_nat > nat ).

tff(func_def_3095,type,
    sK1757: ( set_nat * nat ) > nat ).

tff(func_def_3096,type,
    sK1758: set_nat > nat ).

tff(func_def_3097,type,
    sK1759: ( set_nat * nat ) > nat ).

tff(func_def_3098,type,
    sK1760: ( set_nat * fun_nat_nat * fun_nat_nat ) > nat ).

tff(func_def_3099,type,
    sK1761: set_nat > nat ).

tff(func_def_3100,type,
    sK1762: set_nat > nat ).

tff(func_def_3101,type,
    sK1763: ( set_nat * fun_nat_int ) > nat ).

tff(func_def_3102,type,
    sK1764: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3103,type,
    sK1765: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3104,type,
    sK1766: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3105,type,
    sK1767: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3106,type,
    sK1768: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3107,type,
    sK1769: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3108,type,
    sK1770: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3109,type,
    sK1771: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3110,type,
    sK1772: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3111,type,
    sK1773: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3112,type,
    sK1774: ( set_nat * set_nat * fun_nat_int ) > nat ).

tff(func_def_3113,type,
    sK1775: ( set_nat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3114,type,
    sK1776: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3115,type,
    sK1777: ( set_nat * fun_nat_complex * fun_nat_complex ) > nat ).

tff(func_def_3116,type,
    sK1778: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3117,type,
    sK1779: ( set_nat * fun_nat_complex * fun_nat_complex ) > nat ).

tff(func_def_3118,type,
    sK1780: ( set_nat * set_nat * fun_nat_complex ) > nat ).

tff(func_def_3119,type,
    sK1781: ( set_nat * set_nat ) > nat ).

tff(func_def_3120,type,
    sK1782: ( set_nat * set_nat ) > nat ).

tff(func_def_3121,type,
    sK1783: ( set_nat * set_nat ) > nat ).

tff(func_def_3122,type,
    sK1784: ( fun_nat_real * real ) > nat ).

tff(func_def_3123,type,
    sK1785: ( set_nat * fun_nat_nat * nat ) > nat ).

tff(func_def_3124,type,
    sK1786: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3125,type,
    sK1787: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3126,type,
    sK1788: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3127,type,
    sK1789: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3128,type,
    sK1790: ( fun_int_fun_int_o * set_nat * fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_3129,type,
    sK1791: fun_int_fun_int_o > int ).

tff(func_def_3130,type,
    sK1792: fun_int_fun_int_o > int ).

tff(func_def_3131,type,
    sK1793: fun_int_fun_int_o > int ).

tff(func_def_3132,type,
    sK1794: fun_int_fun_int_o > int ).

tff(func_def_3133,type,
    sK1795: ( fun_rat_fun_rat_o * set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3134,type,
    sK1796: fun_rat_fun_rat_o > rat ).

tff(func_def_3135,type,
    sK1797: fun_rat_fun_rat_o > rat ).

tff(func_def_3136,type,
    sK1798: fun_rat_fun_rat_o > rat ).

tff(func_def_3137,type,
    sK1799: fun_rat_fun_rat_o > rat ).

tff(func_def_3138,type,
    sK1800: ( set_nat * fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_3139,type,
    sK1801: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3140,type,
    sK1802: ( set_nat * set_nat * fun_nat_rat * fun_nat_nat * fun_nat_rat ) > nat ).

tff(func_def_3141,type,
    sK1803: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3142,type,
    sK1804: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3143,type,
    sK1805: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3144,type,
    sK1806: ( fun_nat_int * set_nat * fun_nat_int ) > nat ).

tff(func_def_3145,type,
    sK1807: ( fun_nat_rat * set_nat * fun_nat_rat ) > nat ).

tff(func_def_3146,type,
    sK1808: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3147,type,
    sK1809: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3148,type,
    sK1810: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3149,type,
    sK1811: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3150,type,
    sK1812: set_nat > nat ).

tff(func_def_3151,type,
    sK1813: set_nat > nat ).

tff(func_def_3152,type,
    sK1814: set_nat > nat ).

tff(func_def_3153,type,
    sK1815: set_nat > nat ).

tff(func_def_3154,type,
    sK1816: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3155,type,
    sK1817: ( fun_nat_nat * set_nat ) > nat ).

tff(func_def_3156,type,
    sK1818: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3157,type,
    sK1819: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3158,type,
    sK1820: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3159,type,
    sK1821: ( set_nat * nat ) > nat ).

tff(func_def_3160,type,
    sK1822: option_nat > nat ).

tff(func_def_3161,type,
    sK1823: ( fun_nat_fun_nat_nat * option_nat * option_nat * option_nat ) > nat ).

tff(func_def_3162,type,
    sK1824: ( fun_nat_fun_nat_nat * option_nat * option_nat * option_nat ) > nat ).

tff(func_def_3163,type,
    sK1825: fun_option_nat_o > option_nat ).

tff(func_def_3164,type,
    sK1826: fun_option_nat_o > nat ).

tff(func_def_3165,type,
    sK1827: fun_option_nat_o > nat ).

tff(func_def_3166,type,
    sK1828: fun_option_nat_o > option_nat ).

tff(func_def_3167,type,
    sK1829: ( option_nat * option_nat * fun_op5794009454290973322_nat_o ) > nat ).

tff(func_def_3168,type,
    sK1830: ( option_nat * option_nat * fun_op5794009454290973322_nat_o ) > nat ).

tff(func_def_3169,type,
    sK1831: fun_int_fun_int_o > int ).

tff(func_def_3170,type,
    sK1832: fun_int_fun_int_o > int ).

tff(func_def_3171,type,
    sK1833: fun_int_fun_int_o > int ).

tff(func_def_3172,type,
    sK1834: fun_int_fun_int_o > int ).

tff(func_def_3173,type,
    sK1835: fun_int_fun_int_o > int ).

tff(func_def_3174,type,
    sK1836: int > int ).

tff(func_def_3175,type,
    sK1837: int > int ).

tff(func_def_3176,type,
    sK1838: fun_int_fun_int_o > int ).

tff(func_def_3177,type,
    sK1839: fun_int_fun_int_o > int ).

tff(func_def_3178,type,
    sK1840: fun_int_fun_int_o > int ).

tff(func_def_3179,type,
    sK1841: fun_int_fun_int_o > int ).

tff(func_def_3180,type,
    sK1842: int > int ).

tff(func_def_3181,type,
    sK1843: int > int ).

tff(func_def_3182,type,
    sK1844: int > int ).

tff(func_def_3183,type,
    sK1845: int > int ).

tff(func_def_3184,type,
    sK1846: int > int ).

tff(func_def_3185,type,
    sK1847: int > int ).

tff(func_def_3186,type,
    sK1848: int > int ).

tff(func_def_3187,type,
    sK1849: int > int ).

tff(func_def_3188,type,
    sK1850: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3189,type,
    sK1851: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3190,type,
    sK1852: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3191,type,
    sK1853: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3192,type,
    sK1854: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3193,type,
    sK1855: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3194,type,
    sK1856: int > int ).

tff(func_def_3195,type,
    sK1857: int > int ).

tff(func_def_3196,type,
    sK1858: int > int ).

tff(func_def_3197,type,
    sK1859: int > int ).

tff(func_def_3198,type,
    sK1860: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3199,type,
    sK1861: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3200,type,
    sK1862: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3201,type,
    sK1863: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3202,type,
    sK1864: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > int ).

tff(func_def_3203,type,
    sK1865: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3204,type,
    sK1866: ( int * fun_int_o ) > int ).

tff(func_def_3205,type,
    sK1867: ( fun_int_o * int ) > int ).

tff(func_def_3206,type,
    sK1868: ( fun_int_o * int ) > int ).

tff(func_def_3207,type,
    sK1869: ( int * fun_int_o ) > int ).

tff(func_def_3208,type,
    sK1870: fun_int_fun_int_o > int ).

tff(func_def_3209,type,
    sK1871: fun_rat_rat > rat ).

tff(func_def_3210,type,
    sK1872: fun_rat_rat > rat ).

tff(func_def_3211,type,
    sK1873: fun_rat_rat > rat ).

tff(func_def_3212,type,
    sK1874: fun_rat_rat > rat ).

tff(func_def_3213,type,
    sK1875: fun_rat_rat > rat ).

tff(func_def_3214,type,
    sK1876: fun_rat_rat > rat ).

tff(func_def_3215,type,
    sK1877: fun_rat_rat > rat ).

tff(func_def_3216,type,
    sK1878: fun_rat_rat > rat ).

tff(func_def_3217,type,
    sK1879: ( rat * rat * rat ) > rat ).

tff(func_def_3218,type,
    sK1880: ( rat * rat * rat ) > rat ).

tff(func_def_3219,type,
    sK1881: ( rat * rat ) > rat ).

tff(func_def_3220,type,
    sK1882: ( rat * rat ) > rat ).

tff(func_def_3221,type,
    sK1883: fun_rat_rat > rat ).

tff(func_def_3222,type,
    sK1884: fun_rat_rat > rat ).

tff(func_def_3223,type,
    sK1885: fun_rat_rat > rat ).

tff(func_def_3224,type,
    sK1886: fun_rat_rat > rat ).

tff(func_def_3225,type,
    sK1887: fun_rat_rat > rat ).

tff(func_def_3226,type,
    sK1888: fun_rat_rat > rat ).

tff(func_def_3227,type,
    sK1889: fun_rat_rat > rat ).

tff(func_def_3228,type,
    sK1890: fun_rat_rat > rat ).

tff(func_def_3229,type,
    sK1891: fun_rat_fun_rat_o > rat ).

tff(func_def_3230,type,
    sK1892: fun_rat_fun_rat_o > rat ).

tff(func_def_3231,type,
    sK1893: fun_rat_fun_rat_o > rat ).

tff(func_def_3232,type,
    sK1894: fun_rat_fun_rat_o > rat ).

tff(func_def_3233,type,
    sK1895: fun_rat_fun_rat_o > rat ).

tff(func_def_3234,type,
    sK1896: ( rat * rat ) > rat ).

tff(func_def_3235,type,
    sK1897: rat > rat ).

tff(func_def_3236,type,
    sK1898: rat > rat ).

tff(func_def_3237,type,
    sK1899: fun_rat_rat > rat ).

tff(func_def_3238,type,
    sK1900: fun_rat_rat > rat ).

tff(func_def_3239,type,
    sK1901: fun_rat_rat > rat ).

tff(func_def_3240,type,
    sK1902: fun_rat_rat > rat ).

tff(func_def_3241,type,
    sK1903: fun_rat_rat > rat ).

tff(func_def_3242,type,
    sK1904: fun_rat_rat > rat ).

tff(func_def_3243,type,
    sK1905: fun_rat_rat > rat ).

tff(func_def_3244,type,
    sK1906: fun_rat_rat > rat ).

tff(func_def_3245,type,
    sK1907: fun_rat_fun_rat_o > rat ).

tff(func_def_3246,type,
    sK1908: fun_rat_fun_rat_o > rat ).

tff(func_def_3247,type,
    sK1909: fun_rat_fun_rat_o > rat ).

tff(func_def_3248,type,
    sK1910: fun_rat_fun_rat_o > rat ).

tff(func_def_3249,type,
    sK1911: rat > rat ).

tff(func_def_3250,type,
    sK1912: rat > rat ).

tff(func_def_3251,type,
    sK1913: rat > rat ).

tff(func_def_3252,type,
    sK1914: rat > rat ).

tff(func_def_3253,type,
    sK1915: rat > rat ).

tff(func_def_3254,type,
    sK1916: rat > rat ).

tff(func_def_3255,type,
    sK1917: rat > rat ).

tff(func_def_3256,type,
    sK1918: rat > rat ).

tff(func_def_3257,type,
    sK1919: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3258,type,
    sK1920: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3259,type,
    sK1921: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3260,type,
    sK1922: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3261,type,
    sK1923: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3262,type,
    sK1924: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3263,type,
    sK1925: rat > rat ).

tff(func_def_3264,type,
    sK1926: rat > rat ).

tff(func_def_3265,type,
    sK1927: rat > rat ).

tff(func_def_3266,type,
    sK1928: rat > rat ).

tff(func_def_3267,type,
    sK1929: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3268,type,
    sK1930: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3269,type,
    sK1931: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3270,type,
    sK1932: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3271,type,
    sK1933: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > rat ).

tff(func_def_3272,type,
    sK1934: ( fun_rat_o * fun_rat_o * rat ) > rat ).

tff(func_def_3273,type,
    sK1935: ( rat * rat ) > rat ).

tff(func_def_3274,type,
    sK1936: rat > rat ).

tff(func_def_3275,type,
    sK1937: rat > rat ).

tff(func_def_3276,type,
    sK1938: rat > rat ).

tff(func_def_3277,type,
    sK1939: rat > rat ).

tff(func_def_3278,type,
    sK1940: ( rat * rat ) > rat ).

tff(func_def_3279,type,
    sK1941: ( rat * rat ) > rat ).

tff(func_def_3280,type,
    sK1942: ( int * int ) > int ).

tff(func_def_3281,type,
    sK1943: ( int * int ) > int ).

tff(func_def_3282,type,
    sK1944: ( int * int ) > int ).

tff(func_def_3283,type,
    sK1945: ( int * int ) > int ).

tff(func_def_3284,type,
    sK1946: fun_int_o > int ).

tff(func_def_3285,type,
    sK1947: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3286,type,
    sK1948: ( int * fun_int_o ) > int ).

tff(func_def_3287,type,
    sK1949: ( int * fun_int_o ) > int ).

tff(func_def_3288,type,
    sK1950: fun_int_o > int ).

tff(func_def_3289,type,
    sK1951: ( fun_int_o * fun_int_o * int ) > int ).

tff(func_def_3290,type,
    sK1952: ( int * fun_int_o ) > int ).

tff(func_def_3291,type,
    sK1953: ( int * fun_int_o ) > int ).

tff(func_def_3292,type,
    sK1954: ( int * fun_int_o ) > int ).

tff(func_def_3293,type,
    sK1955: int > int ).

tff(func_def_3294,type,
    sK1956: int > int ).

tff(func_def_3295,type,
    sK1957: ( fun_int_o * int ) > int ).

tff(func_def_3296,type,
    sK1958: ( fun_int_o * int ) > int ).

tff(func_def_3297,type,
    sK1959: ( int * int ) > int ).

tff(func_def_3298,type,
    sK1960: ( int * int ) > int ).

tff(func_def_3299,type,
    sK1961: ( int * int ) > int ).

tff(func_def_3300,type,
    sK1962: ( int * int * int ) > int ).

tff(func_def_3301,type,
    sK1963: ( int * int * int ) > int ).

tff(func_def_3302,type,
    sK1964: ( int * int * int ) > int ).

tff(func_def_3303,type,
    sK1965: ( int * int * int ) > int ).

tff(func_def_3304,type,
    sK1966: ( int * fun_int_o ) > int ).

tff(func_def_3305,type,
    sK1967: ( int * fun_int_o ) > int ).

tff(func_def_3306,type,
    sK1968: ( fun_int_o * int ) > int ).

tff(func_def_3307,type,
    sK1969: ( fun_int_o * int ) > int ).

tff(func_def_3308,type,
    sK1970: ( int * fun_int_o ) > int ).

tff(func_def_3309,type,
    sK1971: ( int * fun_int_o ) > int ).

tff(func_def_3310,type,
    sK1972: ( fun_int_o * int ) > int ).

tff(func_def_3311,type,
    sK1973: ( fun_int_o * int ) > int ).

tff(func_def_3312,type,
    sK1974: ( int * int ) > int ).

tff(func_def_3313,type,
    sK1975: ( int * int ) > int ).

tff(func_def_3314,type,
    sK1976: ( fun_int_o * int * int ) > int ).

tff(func_def_3315,type,
    sK1977: ( fun_int_o * int * int ) > int ).

tff(func_def_3316,type,
    sK1978: ( fun_int_o * int * int ) > int ).

tff(func_def_3317,type,
    sK1979: ( fun_int_o * int * int ) > int ).

tff(func_def_3318,type,
    sK1980: ( int * int * int ) > int ).

tff(func_def_3319,type,
    sK1981: fun_rat_fun_rat_o > rat ).

tff(func_def_3320,type,
    sK1982: ( rat * fun_rat_o ) > rat ).

tff(func_def_3321,type,
    sK1983: ( rat * fun_rat_o ) > rat ).

tff(func_def_3322,type,
    sK1984: ( fun_rat_o * rat ) > rat ).

tff(func_def_3323,type,
    sK1985: ( fun_rat_o * rat ) > rat ).

tff(func_def_3324,type,
    sK1986: ( rat * fun_rat_o ) > rat ).

tff(func_def_3325,type,
    sK1987: ( rat * fun_rat_o ) > rat ).

tff(func_def_3326,type,
    sK1988: ( fun_rat_o * rat ) > rat ).

tff(func_def_3327,type,
    sK1989: ( fun_rat_o * rat ) > rat ).

tff(func_def_3328,type,
    sK1990: real > int ).

tff(func_def_3329,type,
    sK1991: real > int ).

tff(func_def_3330,type,
    sK1992: real > real ).

tff(func_def_3331,type,
    sK1993: real > int ).

tff(func_def_3332,type,
    sK1994: ( real * real ) > real ).

tff(func_def_3333,type,
    sK1995: ( real * real ) > real ).

tff(func_def_3334,type,
    sK1996: ( real * real ) > real ).

tff(func_def_3335,type,
    sK1997: real > real ).

tff(func_def_3336,type,
    sK1998: ( real * real ) > real ).

tff(func_def_3337,type,
    sK1999: real > int ).

tff(func_def_3338,type,
    sK2000: real > real ).

tff(func_def_3339,type,
    sK2001: ( fun_real_real * real * real ) > real ).

tff(func_def_3340,type,
    sK2002: ( fun_real_real * real * real ) > real ).

tff(func_def_3341,type,
    sK2003: ( fun_real_real * real * real ) > real ).

tff(func_def_3342,type,
    sK2004: real > real ).

tff(func_def_3343,type,
    sK2005: fun_num_rat > num ).

tff(func_def_3344,type,
    sK2006: fun_num_rat > num ).

tff(func_def_3345,type,
    sK2007: fun_num_real > num ).

tff(func_def_3346,type,
    sK2008: fun_num_real > num ).

tff(func_def_3347,type,
    sK2009: fun_num_int > num ).

tff(func_def_3348,type,
    sK2010: fun_num_int > num ).

tff(func_def_3349,type,
    sK2011: fun_num_nat > num ).

tff(func_def_3350,type,
    sK2012: fun_num_nat > num ).

tff(func_def_3351,type,
    sK2013: fun_num_num > num ).

tff(func_def_3352,type,
    sK2014: fun_num_num > num ).

tff(func_def_3353,type,
    sK2015: fun_num_rat > num ).

tff(func_def_3354,type,
    sK2016: fun_num_rat > num ).

tff(func_def_3355,type,
    sK2017: fun_num_int > num ).

tff(func_def_3356,type,
    sK2018: fun_num_int > num ).

tff(func_def_3357,type,
    sK2019: fun_num_nat > num ).

tff(func_def_3358,type,
    sK2020: fun_num_nat > num ).

tff(func_def_3359,type,
    sK2021: fun_num_num > num ).

tff(func_def_3360,type,
    sK2022: fun_num_num > num ).

tff(func_def_3361,type,
    sK2023: fun_num_rat > num ).

tff(func_def_3362,type,
    sK2024: fun_num_rat > num ).

tff(func_def_3363,type,
    sK2025: fun_num_rat > num ).

tff(func_def_3364,type,
    sK2026: fun_num_rat > num ).

tff(func_def_3365,type,
    sK2027: fun_num_real > num ).

tff(func_def_3366,type,
    sK2028: fun_num_real > num ).

tff(func_def_3367,type,
    sK2029: fun_num_rat > num ).

tff(func_def_3368,type,
    sK2030: fun_num_rat > num ).

tff(func_def_3369,type,
    sK2031: fun_num_real > num ).

tff(func_def_3370,type,
    sK2032: fun_num_real > num ).

tff(func_def_3371,type,
    sK2033: fun_num_fun_num_o > num ).

tff(func_def_3372,type,
    sK2034: fun_num_fun_num_o > num ).

tff(func_def_3373,type,
    sK2035: fun_num_fun_num_o > num ).

tff(func_def_3374,type,
    sK2036: fun_num_fun_num_o > num ).

tff(func_def_3375,type,
    sK2037: fun_num_fun_num_o > num ).

tff(func_def_3376,type,
    sK2038: fun_num_int > num ).

tff(func_def_3377,type,
    sK2039: fun_num_int > num ).

tff(func_def_3378,type,
    sK2040: fun_num_nat > num ).

tff(func_def_3379,type,
    sK2041: fun_num_nat > num ).

tff(func_def_3380,type,
    sK2042: fun_num_num > num ).

tff(func_def_3381,type,
    sK2043: fun_num_num > num ).

tff(func_def_3382,type,
    sK2044: fun_num_rat > num ).

tff(func_def_3383,type,
    sK2045: fun_num_rat > num ).

tff(func_def_3384,type,
    sK2046: fun_num_int > num ).

tff(func_def_3385,type,
    sK2047: fun_num_int > num ).

tff(func_def_3386,type,
    sK2048: fun_num_nat > num ).

tff(func_def_3387,type,
    sK2049: fun_num_nat > num ).

tff(func_def_3388,type,
    sK2050: fun_num_num > num ).

tff(func_def_3389,type,
    sK2051: fun_num_num > num ).

tff(func_def_3390,type,
    sK2052: fun_num_rat > num ).

tff(func_def_3391,type,
    sK2053: fun_num_rat > num ).

tff(func_def_3392,type,
    sK2054: fun_num_int > num ).

tff(func_def_3393,type,
    sK2055: fun_num_int > num ).

tff(func_def_3394,type,
    sK2056: fun_num_nat > num ).

tff(func_def_3395,type,
    sK2057: fun_num_nat > num ).

tff(func_def_3396,type,
    sK2058: fun_num_num > num ).

tff(func_def_3397,type,
    sK2059: fun_num_num > num ).

tff(func_def_3398,type,
    sK2060: fun_num_rat > num ).

tff(func_def_3399,type,
    sK2061: fun_num_rat > num ).

tff(func_def_3400,type,
    sK2062: fun_num_nat > num ).

tff(func_def_3401,type,
    sK2063: fun_num_nat > num ).

tff(func_def_3402,type,
    sK2064: fun_num_num > num ).

tff(func_def_3403,type,
    sK2065: fun_num_num > num ).

tff(func_def_3404,type,
    sK2066: fun_num_rat > num ).

tff(func_def_3405,type,
    sK2067: fun_num_rat > num ).

tff(func_def_3406,type,
    sK2068: fun_num_fun_num_o > num ).

tff(func_def_3407,type,
    sK2069: fun_num_fun_num_o > num ).

tff(func_def_3408,type,
    sK2070: fun_num_fun_num_o > num ).

tff(func_def_3409,type,
    sK2071: fun_num_fun_num_o > num ).

tff(func_def_3410,type,
    sK2072: num > num ).

tff(func_def_3411,type,
    sK2073: num > num ).

tff(func_def_3412,type,
    sK2074: num > num ).

tff(func_def_3413,type,
    sK2075: num > num ).

tff(func_def_3414,type,
    sK2076: num > num ).

tff(func_def_3415,type,
    sK2077: num > num ).

tff(func_def_3416,type,
    sK2078: num > num ).

tff(func_def_3417,type,
    sK2079: num > num ).

tff(func_def_3418,type,
    sK2080: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3419,type,
    sK2081: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3420,type,
    sK2082: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3421,type,
    sK2083: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3422,type,
    sK2084: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3423,type,
    sK2085: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3424,type,
    sK2086: num > num ).

tff(func_def_3425,type,
    sK2087: num > num ).

tff(func_def_3426,type,
    sK2088: num > num ).

tff(func_def_3427,type,
    sK2089: num > num ).

tff(func_def_3428,type,
    sK2090: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3429,type,
    sK2091: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3430,type,
    sK2092: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3431,type,
    sK2093: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3432,type,
    sK2094: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > num ).

tff(func_def_3433,type,
    sK2095: ( fun_num_o * fun_num_o * num ) > num ).

tff(func_def_3434,type,
    sK2096: real ).

tff(func_def_3435,type,
    sK2097: ( real * real ) > real ).

tff(func_def_3436,type,
    sK2098: ( real * real ) > real ).

tff(func_def_3437,type,
    sK2099: ( fun_nat_real * nat ) > nat ).

tff(func_def_3438,type,
    sK2100: ( fun_nat_real * real ) > nat ).

tff(func_def_3439,type,
    sK2101: fun_nat_real > nat ).

tff(func_def_3440,type,
    sK2102: ( fun_nat_real * real ) > nat ).

tff(func_def_3441,type,
    sK2103: ( fun_nat_real * nat ) > nat ).

tff(func_def_3442,type,
    sK2104: ( fun_nat_real * nat ) > nat ).

tff(func_def_3443,type,
    sK2105: ( nat * fun_nat_nat * nat ) > nat ).

tff(func_def_3444,type,
    sK2106: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_3445,type,
    sK2107: ( nat * fun_nat_rat * rat ) > nat ).

tff(func_def_3446,type,
    sK2108: real > int ).

tff(func_def_3447,type,
    sK2109: real > int ).

tff(func_def_3448,type,
    sK2110: real > int ).

tff(func_def_3449,type,
    sK2111: real > int ).

tff(func_def_3450,type,
    sK2112: real > int ).

tff(func_def_3451,type,
    sK2113: fun_int_real > int ).

tff(func_def_3452,type,
    sK2114: fun_int_real > int ).

tff(func_def_3453,type,
    sK2115: fun_int_real > int ).

tff(func_def_3454,type,
    sK2116: fun_int_real > int ).

tff(func_def_3455,type,
    sK2117: fun_int_real > int ).

tff(func_def_3456,type,
    sK2118: fun_int_real > int ).

tff(func_def_3457,type,
    sK2119: set_int > int ).

tff(func_def_3458,type,
    sK2120: ( set_int * int ) > int ).

tff(func_def_3459,type,
    sK2121: set_int > int ).

tff(func_def_3460,type,
    sK2122: ( set_int * int ) > int ).

tff(func_def_3461,type,
    sK2123: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_3462,type,
    sK2124: ( nat * fun_nat_int ) > nat ).

tff(func_def_3463,type,
    sK2125: ( nat * fun_nat_int * int ) > nat ).

tff(func_def_3464,type,
    sK2126: ( nat * fun_nat_int ) > nat ).

tff(func_def_3465,type,
    sK2127: ( fun_nat_int * nat * nat ) > nat ).

tff(func_def_3466,type,
    sK2128: ( nat * nat * fun_nat_int * int ) > nat ).

tff(func_def_3467,type,
    sK2129: fun_nat_o > nat ).

tff(func_def_3468,type,
    sK2130: fun_nat_o > int ).

tff(func_def_3469,type,
    sK2131: fun_nat_o > int ).

tff(func_def_3470,type,
    sK2132: fun_nat_o > nat ).

tff(func_def_3471,type,
    sK2133: ( rat * rat ) > nat ).

tff(func_def_3472,type,
    sK2134: rat > nat ).

tff(func_def_3473,type,
    sK2135: rat > nat ).

tff(func_def_3474,type,
    sK2136: rat > nat ).

tff(func_def_3475,type,
    sK2137: rat > int ).

tff(func_def_3476,type,
    sK2138: rat > int ).

tff(func_def_3477,type,
    sK2139: rat > int ).

tff(func_def_3478,type,
    sK2140: rat > int ).

tff(func_def_3479,type,
    sK2141: rat > int ).

tff(func_def_3480,type,
    sK2142: fun_int_rat > int ).

tff(func_def_3481,type,
    sK2143: fun_int_rat > int ).

tff(func_def_3482,type,
    sK2144: fun_int_rat > int ).

tff(func_def_3483,type,
    sK2145: fun_int_rat > int ).

tff(func_def_3484,type,
    sK2146: fun_int_rat > int ).

tff(func_def_3485,type,
    sK2147: fun_int_rat > int ).

tff(func_def_3486,type,
    sK2148: fun_int_rat > int ).

tff(func_def_3487,type,
    sK2149: fun_int_rat > int ).

tff(func_def_3488,type,
    sK2150: fun_Co2081214437782444048eger_o > code_integer ).

tff(func_def_3489,type,
    sK2151: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3490,type,
    sK2152: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_3491,type,
    sK2153: ( fun_Code_integer_o * code_integer ) > code_integer ).

tff(func_def_3492,type,
    sK2154: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3493,type,
    sK2155: code_integer > code_integer ).

tff(func_def_3494,type,
    sK2156: code_integer > code_integer ).

tff(func_def_3495,type,
    sK2157: ( code_integer * code_integer * code_integer ) > code_integer ).

tff(func_def_3496,type,
    sK2158: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3497,type,
    sK2159: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3498,type,
    sK2160: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3499,type,
    sK2161: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3500,type,
    sK2162: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3501,type,
    sK2163: ( code_integer * code_integer ) > code_integer ).

tff(func_def_3502,type,
    sK2164: vEBT_VEBT > nat ).

tff(func_def_3503,type,
    sK2165: vEBT_VEBT > list_VEBT_VEBT ).

tff(func_def_3504,type,
    sK2166: vEBT_VEBT > vEBT_VEBT ).

tff(func_def_3505,type,
    sK2167: ( nat * fun_nat_o ) > nat ).

tff(func_def_3506,type,
    sK2168: ( nat * fun_nat_o ) > nat ).

tff(func_def_3507,type,
    sK2169: ( nat * fun_nat_o ) > nat ).

tff(func_def_3508,type,
    sK2170: ( nat * fun_nat_o ) > nat ).

tff(func_def_3509,type,
    sK2171: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3510,type,
    sK2172: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3511,type,
    sK2173: ( set_nat * fun_nat_nat ) > nat ).

tff(func_def_3512,type,
    sK2174: ( set_nat * fun_nat_int * fun_nat_int ) > nat ).

tff(func_def_3513,type,
    sK2175: ( set_int * set_nat * fun_nat_rat * fun_nat_int * fun_int_rat ) > int ).

tff(func_def_3514,type,
    sK2176: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3515,type,
    sK2177: ( set_nat * set_complex * fun_complex_rat * fun_complex_nat * fun_nat_rat ) > nat ).

tff(func_def_3516,type,
    sK2178: ( set_complex * fun_complex_rat ) > complex ).

tff(func_def_3517,type,
    sK2179: ( set_nat * set_int * fun_int_rat * fun_int_nat * fun_nat_rat ) > nat ).

tff(func_def_3518,type,
    sK2180: ( set_int * fun_int_rat ) > int ).

tff(func_def_3519,type,
    sK2181: ( fun_nat_complex * real ) > nat ).

tff(func_def_3520,type,
    sK2182: ( set_nat * fun_nat_complex * fun_nat_real ) > nat ).

tff(func_def_3521,type,
    sK2183: ( fun_co1148497455491383662plex_o * set_nat * fun_nat_complex * fun_nat_complex ) > nat ).

tff(func_def_3522,type,
    sK2184: fun_co1148497455491383662plex_o > complex ).

tff(func_def_3523,type,
    sK2185: fun_co1148497455491383662plex_o > complex ).

tff(func_def_3524,type,
    sK2186: fun_co1148497455491383662plex_o > complex ).

tff(func_def_3525,type,
    sK2187: fun_co1148497455491383662plex_o > complex ).

tff(func_def_3526,type,
    sK2188: ( real * nat * fun_nat_real ) > nat ).

tff(func_def_3527,type,
    sK2189: ( fun_nat_real * nat * fun_nat_complex ) > nat ).

tff(func_def_3528,type,
    sK2190: ( fun_nat_real * nat * fun_nat_real ) > nat ).

tff(func_def_3529,type,
    sK2191: ( fun_nat_complex * fun_nat_real * nat ) > nat ).

tff(func_def_3530,type,
    sK2192: ( fun_nat_real * fun_nat_real * nat ) > nat ).

tff(func_def_3531,type,
    sK2193: fun_nat_real > nat ).

tff(func_def_3532,type,
    sK2194: fun_nat_real > nat ).

tff(func_def_3533,type,
    sK2195: fun_nat_real > nat ).

tff(func_def_3534,type,
    sK2196: fun_nat_real > nat ).

tff(func_def_3535,type,
    sK2197: fun_nat_real > nat ).

tff(func_def_3536,type,
    sK2198: fun_nat_real > nat ).

tff(func_def_3537,type,
    sK2199: fun_nat_real > nat ).

tff(func_def_3538,type,
    sK2200: ( fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3539,type,
    sK2201: set_nat > nat ).

tff(func_def_3540,type,
    sK2202: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3541,type,
    sK2203: ( fun_rat_fun_rat_o * set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3542,type,
    sK2204: fun_rat_fun_rat_o > rat ).

tff(func_def_3543,type,
    sK2205: fun_rat_fun_rat_o > rat ).

tff(func_def_3544,type,
    sK2206: fun_rat_fun_rat_o > rat ).

tff(func_def_3545,type,
    sK2207: fun_rat_fun_rat_o > rat ).

tff(func_def_3546,type,
    sK2208: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3547,type,
    sK2209: ( set_nat * fun_nat_rat ) > nat ).

tff(func_def_3548,type,
    sK2210: ( set_nat * fun_nat_rat * fun_nat_rat ) > nat ).

tff(func_def_3549,type,
    sK2211: ( fun_nat_rat * set_nat ) > nat ).

tff(func_def_3550,type,
    sK2212: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3551,type,
    sK2213: ( fun_real_fun_real_o * set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3552,type,
    sK2214: fun_real_fun_real_o > real ).

tff(func_def_3553,type,
    sK2215: fun_real_fun_real_o > real ).

tff(func_def_3554,type,
    sK2216: fun_real_fun_real_o > real ).

tff(func_def_3555,type,
    sK2217: fun_real_fun_real_o > real ).

tff(func_def_3556,type,
    sK2218: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3557,type,
    sK2219: ( set_nat * fun_nat_real ) > nat ).

tff(func_def_3558,type,
    sK2220: ( set_nat * fun_nat_real * fun_nat_real ) > nat ).

tff(func_def_3559,type,
    sK2221: ( fun_nat_real * set_nat ) > nat ).

tff(pred_def_1,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_2,type,
    bNF_re5717476210804479843nt_int: ( fun_int_fun_int_o * fun_fu4208408993564413984_int_o * fun_int_fun_int_int * fun_int_fun_int_int ) > $o ).

tff(pred_def_3,type,
    bNF_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_4,type,
    bNF_re5162689864697376059at_nat: ( fun_nat_fun_nat_o * fun_fu9201817095025044880_nat_o * fun_nat_fun_nat_nat * fun_nat_fun_nat_nat ) > $o ).

tff(pred_def_5,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_6,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_7,type,
    bNF_re4734134812813710757nt_int: ( fun_Pr9018117161326028078_int_o * fun_fu5323616038969315652_int_o * fun_Pr1308109350235310159nt_int * fun_Pr1308109350235310159nt_int ) > $o ).

tff(pred_def_8,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_9,type,
    bNF_re6323452265856231590at_rat: ( fun_Pr7537129237977221859_rat_o * fun_fu4306744791715064858_rat_o * fun_Pr1308109350235310159nt_int * fun_rat_fun_rat_rat ) > $o ).

tff(pred_def_10,type,
    bNF_re4555766996558763186at_nat: ( fun_Pr4738963024209204295_int_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_int_nat ) > $o ).

tff(pred_def_11,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_12,type,
    bNF_re8869769828555196650nt_int: ( fun_Pr4738963024209204295_int_o * fun_fu4638078822479986034_int_o * fun_Pr2477239776880934807at_nat * fun_int_fun_int_int ) > $o ).

tff(pred_def_13,type,
    bNF_re8246922863344978751at_nat: ( fun_Pr2028404973800837934_nat_o * fun_nat_fun_nat_o * fun_Pr2602117396471556196at_nat * fun_Pr2602117396471556196at_nat ) > $o ).

tff(pred_def_14,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_15,type,
    bNF_re6214786843070381989at_nat: ( fun_Pr2028404973800837934_nat_o * fun_fu3373238862511017284_nat_o * fun_Pr2477239776880934807at_nat * fun_Pr2477239776880934807at_nat ) > $o ).

tff(pred_def_16,type,
    bNF_re6090955117988708457real_o: ( fun_fu1771228864347509049real_o * fun_fu7981297689148232565al_o_o * fun_fu6714665071556184448_rat_o * fun_real_fun_real_o ) > $o ).

tff(pred_def_17,type,
    bNF_re1162444993429354318l_real: ( fun_fu1771228864347509049real_o * fun_fu6910828598506988974real_o * fun_fu6579618355643354601at_rat * fun_re7681423839302404990l_real ) > $o ).

tff(pred_def_18,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_19,type,
    bNF_re769765379126235449at_rat: ( fun_fu6714665071556184448_rat_o * fun_fu1950632212952468284_rat_o * fun_fu6579618355643354601at_rat * fun_fu6579618355643354601at_rat ) > $o ).

tff(pred_def_20,type,
    differ6690327859849518006l_real: ( fun_real_real * filter_real ) > $o ).

tff(pred_def_21,type,
    has_de1759254742604945161l_real: ( fun_real_real * fun_real_real * filter_real ) > $o ).

tff(pred_def_22,type,
    has_fi5821293074295781190e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_23,type,
    has_ve631408500373753343e_real: ( fun_real_real * real * filter_real ) > $o ).

tff(pred_def_24,type,
    eucl_rel_int: ( int * int * product_prod_int_int ) > $o ).

tff(pred_def_25,type,
    unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).

tff(pred_def_26,type,
    unique6319869463603278526ux_int: product_prod_int_int > $o ).

tff(pred_def_27,type,
    unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).

tff(pred_def_28,type,
    eventually_nat: ( fun_nat_o * filter_nat ) > $o ).

tff(pred_def_29,type,
    eventually_real: ( fun_real_o * filter_real ) > $o ).

tff(pred_def_30,type,
    filterlim_nat_nat: ( fun_nat_nat * filter_nat * filter_nat ) > $o ).

tff(pred_def_31,type,
    filterlim_nat_real: ( fun_nat_real * filter_real * filter_nat ) > $o ).

tff(pred_def_32,type,
    filterlim_real_real: ( fun_real_real * filter_real * filter_real ) > $o ).

tff(pred_def_33,type,
    finite_finite_o: set_o > $o ).

tff(pred_def_34,type,
    finite_finite_list_o: set_list_o > $o ).

tff(pred_def_35,type,
    finite8712137658972009173omplex: set_list_complex > $o ).

tff(pred_def_36,type,
    finite3922522038869484883st_int: set_list_int > $o ).

tff(pred_def_37,type,
    finite8100373058378681591st_nat: set_list_nat > $o ).

tff(pred_def_38,type,
    finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).

tff(pred_def_39,type,
    finite_finite_num: set_num > $o ).

tff(pred_def_40,type,
    finite_finite_rat: set_rat > $o ).

tff(pred_def_41,type,
    finite_finite_real: set_real > $o ).

tff(pred_def_42,type,
    finite6551019134538273531omplex: set_set_complex > $o ).

tff(pred_def_43,type,
    finite6197958912794628473et_int: set_set_int > $o ).

tff(pred_def_44,type,
    finite1152437895449049373et_nat: set_set_nat > $o ).

tff(pred_def_45,type,
    finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).

tff(pred_def_46,type,
    inj_on_real_real: ( fun_real_real * set_real ) > $o ).

tff(pred_def_47,type,
    semila1623282765462674594er_nat: ( fun_nat_fun_nat_nat * nat * fun_nat_fun_nat_o * fun_nat_fun_nat_o ) > $o ).

tff(pred_def_48,type,
    bfun_nat_real: ( fun_nat_real * filter_nat ) > $o ).

tff(pred_def_49,type,
    ord_le1307284697595431911nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_50,type,
    ord_less_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_51,type,
    ord_le6428140832669894131at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_52,type,
    ord_less_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_53,type,
    ord_less_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_54,type,
    ord_less_set_set_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_55,type,
    ord_le4409593196786536943plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_56,type,
    ord_less_fun_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_57,type,
    ord_less_fun_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_58,type,
    ord_le2634757784181882888_nat_o: ( fun_Pr363642936170290612_nat_o * fun_Pr363642936170290612_nat_o ) > $o ).

tff(pred_def_59,type,
    ord_less_fun_real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_60,type,
    ord_le2510731241096832064er_nat: ( filter_nat * filter_nat ) > $o ).

tff(pred_def_61,type,
    ord_le4104064031414453916r_real: ( filter_real * filter_real ) > $o ).

tff(pred_def_62,type,
    ord_less_eq_set_o: ( set_o * set_o ) > $o ).

tff(pred_def_63,type,
    ord_le7084787975880047091nteger: ( set_Code_integer * set_Code_integer ) > $o ).

tff(pred_def_64,type,
    ord_le6045566169113846134st_nat: ( set_list_nat * set_list_nat ) > $o ).

tff(pred_def_65,type,
    ord_less_eq_set_num: ( set_num * set_num ) > $o ).

tff(pred_def_66,type,
    ord_le3000389064537975527at_nat: ( set_Pr8693737435421807431at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_67,type,
    ord_less_eq_set_rat: ( set_rat * set_rat ) > $o ).

tff(pred_def_68,type,
    ord_less_eq_set_real: ( set_real * set_real ) > $o ).

tff(pred_def_69,type,
    ord_le4403425263959731960et_int: ( set_set_int * set_set_int ) > $o ).

tff(pred_def_70,type,
    ord_le4337996190870823476T_VEBT: ( set_VEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_71,type,
    ord_le7644322562001619171plex_o: ( fun_complex_o * fun_complex_o ) > $o ).

tff(pred_def_72,type,
    ord_le5418975059635765733_int_o: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_73,type,
    ord_le7240017405068453697_nat_o: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_74,type,
    ord_le4931303937297292820_nat_o: ( fun_Pr363642936170290612_nat_o * fun_Pr363642936170290612_nat_o ) > $o ).

tff(pred_def_75,type,
    ord_le3605727316730466277real_o: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_76,type,
    order_9091379641038594480t_real: fun_nat_real > $o ).

tff(pred_def_77,type,
    order_mono_nat_nat: fun_nat_nat > $o ).

tff(pred_def_78,type,
    order_mono_nat_real: fun_nat_real > $o ).

tff(pred_def_79,type,
    order_5726023648592871131at_nat: fun_nat_nat > $o ).

tff(pred_def_80,type,
    order_7092887310737990675l_real: fun_real_real > $o ).

tff(pred_def_81,type,
    cauchy: fun_nat_rat > $o ).

tff(pred_def_82,type,
    vanishes: fun_nat_rat > $o ).

tff(pred_def_83,type,
    real_V5970128139526366754l_real: fun_real_real > $o ).

tff(pred_def_84,type,
    transp_fun_nat_rat: fun_fu6714665071556184448_rat_o > $o ).

tff(pred_def_85,type,
    summable_complex: fun_nat_complex > $o ).

tff(pred_def_86,type,
    summable_int: fun_nat_int > $o ).

tff(pred_def_87,type,
    summable_nat: fun_nat_nat > $o ).

tff(pred_def_88,type,
    summable_real: fun_nat_real > $o ).

tff(pred_def_89,type,
    topolo4422821103128117721l_real: ( filter_real * fun_real_real ) > $o ).

tff(pred_def_90,type,
    topolo5044208981011980120l_real: ( set_real * fun_real_real ) > $o ).

tff(pred_def_91,type,
    topolo4899668324122417113eq_int: fun_nat_int > $o ).

tff(pred_def_92,type,
    topolo4902158794631467389eq_nat: fun_nat_nat > $o ).

tff(pred_def_93,type,
    topolo1459490580787246023eq_num: fun_nat_num > $o ).

tff(pred_def_94,type,
    topolo4267028734544971653eq_rat: fun_nat_rat > $o ).

tff(pred_def_95,type,
    topolo6980174941875973593q_real: fun_nat_real > $o ).

tff(pred_def_96,type,
    topolo3100542954746470799et_int: fun_nat_set_int > $o ).

tff(pred_def_97,type,
    topolo7531315842566124627t_real: fun_nat_real > $o ).

tff(pred_def_98,type,
    topolo4055970368930404560y_real: fun_nat_real > $o ).

tff(pred_def_99,type,
    accp_P1096762738010456898nt_int: ( fun_Pr9018117161326028078_int_o * product_prod_int_int ) > $o ).

tff(pred_def_100,type,
    accp_P4275260045618599050at_nat: ( fun_Pr2028404973800837934_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_101,type,
    accp_P3113834385874906142um_num: ( fun_Pr4799464687642144302_num_o * product_prod_num_num ) > $o ).

tff(pred_def_102,type,
    accp_P2887432264394892906BT_nat: ( fun_Pr8877776288780692068_nat_o * produc9072475918466114483BT_nat ) > $o ).

tff(pred_def_103,type,
    aa_o_o: ( fun_o_o * $o ) > $o ).

tff(pred_def_104,type,
    aa_Code_integer_o: ( fun_Code_integer_o * code_integer ) > $o ).

tff(pred_def_105,type,
    aa_complex_o: ( fun_complex_o * complex ) > $o ).

tff(pred_def_106,type,
    aa_Extended_enat_o: ( fun_Extended_enat_o * extended_enat ) > $o ).

tff(pred_def_107,type,
    aa_int_o: ( fun_int_o * int ) > $o ).

tff(pred_def_108,type,
    aa_list_o_o: ( fun_list_o_o * list_o ) > $o ).

tff(pred_def_109,type,
    aa_list_complex_o: ( fun_list_complex_o * list_complex ) > $o ).

tff(pred_def_110,type,
    aa_list_int_o: ( fun_list_int_o * list_int ) > $o ).

tff(pred_def_111,type,
    aa_list_nat_o: ( fun_list_nat_o * list_nat ) > $o ).

tff(pred_def_112,type,
    aa_list_VEBT_VEBT_o: ( fun_list_VEBT_VEBT_o * list_VEBT_VEBT ) > $o ).

tff(pred_def_113,type,
    aa_nat_o: ( fun_nat_o * nat ) > $o ).

tff(pred_def_114,type,
    aa_num_o: ( fun_num_o * num ) > $o ).

tff(pred_def_115,type,
    aa_option_nat_o: ( fun_option_nat_o * option_nat ) > $o ).

tff(pred_def_116,type,
    aa_option_num_o: ( fun_option_num_o * option_num ) > $o ).

tff(pred_def_117,type,
    aa_opt7112393969400857165_nat_o: ( fun_op8028897214545316308_nat_o * option4927543243414619207at_nat ) > $o ).

tff(pred_def_118,type,
    aa_Pro4592068669816069595_int_o: ( fun_Pr3238374608701176162_int_o * product_prod_int_int ) > $o ).

tff(pred_def_119,type,
    aa_Pro6150637604445964947_nat_o: ( fun_Pr4796943543331071514_nat_o * product_prod_nat_nat ) > $o ).

tff(pred_def_120,type,
    aa_Pro602569247023830573_nat_o: ( fun_Pr363642936170290612_nat_o * produc859450856879609959at_nat ) > $o ).

tff(pred_def_121,type,
    aa_rat_o: ( fun_rat_o * rat ) > $o ).

tff(pred_def_122,type,
    aa_real_o: ( fun_real_o * real ) > $o ).

tff(pred_def_123,type,
    aa_set_complex_o: ( fun_set_complex_o * set_complex ) > $o ).

tff(pred_def_124,type,
    aa_set_int_o: ( fun_set_int_o * set_int ) > $o ).

tff(pred_def_125,type,
    aa_set_nat_o: ( fun_set_nat_o * set_nat ) > $o ).

tff(pred_def_126,type,
    aa_VEBT_VEBT_o: ( fun_VEBT_VEBT_o * vEBT_VEBT ) > $o ).

tff(pred_def_127,type,
    aa_fun_int_int_o: ( fun_fun_int_int_o * fun_int_int ) > $o ).

tff(pred_def_128,type,
    aa_fun_nat_rat_o: ( fun_fun_nat_rat_o * fun_nat_rat ) > $o ).

tff(pred_def_129,type,
    aa_fun_real_o_o: ( fun_fun_real_o_o * fun_real_o ) > $o ).

tff(pred_def_130,type,
    aa_fun_real_real_o: ( fun_fun_real_real_o * fun_real_real ) > $o ).

tff(pred_def_131,type,
    aa_fun175815717583936595_rat_o: ( fun_fu4846507671440591850_rat_o * fun_fu8328862064278946247at_rat ) > $o ).

tff(pred_def_132,type,
    member_o: ( $o * set_o ) > $o ).

tff(pred_def_133,type,
    member_list_o: ( list_o * set_list_o ) > $o ).

tff(pred_def_134,type,
    member_list_int: ( list_int * set_list_int ) > $o ).

tff(pred_def_135,type,
    member_list_nat: ( list_nat * set_list_nat ) > $o ).

tff(pred_def_136,type,
    member2936631157270082147T_VEBT: ( list_VEBT_VEBT * set_list_VEBT_VEBT ) > $o ).

tff(pred_def_137,type,
    member_num: ( num * set_num ) > $o ).

tff(pred_def_138,type,
    member8206827879206165904at_nat: ( produc859450856879609959at_nat * set_Pr8693737435421807431at_nat ) > $o ).

tff(pred_def_139,type,
    member_rat: ( rat * set_rat ) > $o ).

tff(pred_def_140,type,
    member_real: ( real * set_real ) > $o ).

tff(pred_def_141,type,
    member_set_int: ( set_int * set_set_int ) > $o ).

tff(pred_def_142,type,
    member_VEBT_VEBT: ( vEBT_VEBT * set_VEBT_VEBT ) > $o ).

tff(pred_def_143,type,
    ':=': 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(pred_def_144,type,
    iG125: ( num * complex * complex ) > $o ).

tff(pred_def_145,type,
    iG126: ( num * real * real ) > $o ).

tff(pred_def_146,type,
    iG127: ( num * rat * rat ) > $o ).

tff(pred_def_147,type,
    iG128: ( num * complex * complex ) > $o ).

tff(pred_def_148,type,
    iG129: ( num * real * real ) > $o ).

tff(pred_def_149,type,
    iG130: ( num * rat * rat ) > $o ).

tff(pred_def_150,type,
    iG137: ( complex * complex * complex ) > $o ).

tff(pred_def_151,type,
    iG138: ( real * real * real ) > $o ).

tff(pred_def_152,type,
    iG139: ( rat * rat * rat ) > $o ).

tff(pred_def_153,type,
    iG140: ( complex * complex * complex ) > $o ).

tff(pred_def_154,type,
    iG141: ( real * real * real ) > $o ).

tff(pred_def_155,type,
    iG142: ( rat * rat * rat ) > $o ).

tff(pred_def_156,type,
    iG143: ( real * real * real ) > $o ).

tff(pred_def_157,type,
    iG144: ( real * real * real ) > $o ).

tff(pred_def_158,type,
    iG145: ( rat * rat * rat ) > $o ).

tff(pred_def_159,type,
    iG146: ( rat * rat * rat ) > $o ).

tff(pred_def_160,type,
    iG147: ( real * real * real ) > $o ).

tff(pred_def_161,type,
    iG148: ( real * real * real ) > $o ).

tff(pred_def_162,type,
    iG149: ( rat * rat * rat ) > $o ).

tff(pred_def_163,type,
    iG150: ( rat * rat * rat ) > $o ).

tff(pred_def_164,type,
    iG151: ( complex * num * complex ) > $o ).

tff(pred_def_165,type,
    iG152: ( real * num * real ) > $o ).

tff(pred_def_166,type,
    iG153: ( rat * num * rat ) > $o ).

tff(pred_def_167,type,
    iG154: ( complex * num * complex ) > $o ).

tff(pred_def_168,type,
    iG155: ( real * num * real ) > $o ).

tff(pred_def_169,type,
    iG156: ( rat * num * rat ) > $o ).

tff(pred_def_170,type,
    iG166: ( real * real * real ) > $o ).

tff(pred_def_171,type,
    iG167: ( real * real * real ) > $o ).

tff(pred_def_172,type,
    iG168: ( rat * rat * rat ) > $o ).

tff(pred_def_173,type,
    iG169: ( rat * rat * rat ) > $o ).

tff(pred_def_174,type,
    iG170: ( real * real * real ) > $o ).

tff(pred_def_175,type,
    iG171: ( real * real * real ) > $o ).

tff(pred_def_176,type,
    iG172: ( rat * rat * rat ) > $o ).

tff(pred_def_177,type,
    iG173: ( rat * rat * rat ) > $o ).

tff(pred_def_178,type,
    iG174: ( real * num * real ) > $o ).

tff(pred_def_179,type,
    iG175: ( real * num * real ) > $o ).

tff(pred_def_180,type,
    iG176: ( rat * num * rat ) > $o ).

tff(pred_def_181,type,
    iG177: ( rat * num * rat ) > $o ).

tff(pred_def_182,type,
    iG178: ( real * num * real ) > $o ).

tff(pred_def_183,type,
    iG179: ( real * num * real ) > $o ).

tff(pred_def_184,type,
    iG180: ( rat * num * rat ) > $o ).

tff(pred_def_185,type,
    iG181: ( rat * num * rat ) > $o ).

tff(pred_def_186,type,
    iG183: ( real * num * real ) > $o ).

tff(pred_def_187,type,
    iG184: ( real * num * real ) > $o ).

tff(pred_def_188,type,
    iG185: ( rat * num * rat ) > $o ).

tff(pred_def_189,type,
    iG186: ( rat * num * rat ) > $o ).

tff(pred_def_190,type,
    iG187: ( real * num * real ) > $o ).

tff(pred_def_191,type,
    iG188: ( real * num * real ) > $o ).

tff(pred_def_192,type,
    iG189: ( rat * num * rat ) > $o ).

tff(pred_def_193,type,
    iG190: ( rat * num * rat ) > $o ).

tff(pred_def_194,type,
    iG225: ( nat * $o ) > $o ).

tff(pred_def_195,type,
    iG226: ( nat * $o * $o ) > $o ).

tff(pred_def_196,type,
    iG292: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_197,type,
    iG293: ( nat * $o ) > $o ).

tff(pred_def_198,type,
    iG294: ( nat * $o * $o ) > $o ).

tff(pred_def_199,type,
    iG298: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_200,type,
    iG299: ( nat * $o ) > $o ).

tff(pred_def_201,type,
    iG300: ( nat * $o * $o ) > $o ).

tff(pred_def_202,type,
    iG304: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_203,type,
    iG305: ( nat * $o ) > $o ).

tff(pred_def_204,type,
    iG306: ( nat * $o * $o ) > $o ).

tff(pred_def_205,type,
    iG310: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_206,type,
    iG311: ( nat * $o ) > $o ).

tff(pred_def_207,type,
    iG312: ( nat * $o * $o ) > $o ).

tff(pred_def_208,type,
    iG316: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_209,type,
    iG317: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_210,type,
    iG318: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_211,type,
    iG319: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_212,type,
    iG320: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_213,type,
    iG322: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_214,type,
    iG323: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_215,type,
    iG324: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_216,type,
    iG325: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_217,type,
    iG326: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_218,type,
    iG327: ( nat * $o ) > $o ).

tff(pred_def_219,type,
    iG328: ( nat * $o * $o ) > $o ).

tff(pred_def_220,type,
    iG332: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_221,type,
    iG333: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_222,type,
    iG334: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_223,type,
    iG335: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_224,type,
    iG336: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_225,type,
    iG337: ( nat * $o ) > $o ).

tff(pred_def_226,type,
    iG338: ( nat * $o * $o ) > $o ).

tff(pred_def_227,type,
    iG342: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_228,type,
    iG343: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_229,type,
    iG344: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_230,type,
    iG345: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_231,type,
    iG346: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_232,type,
    iG347: ( nat * $o ) > $o ).

tff(pred_def_233,type,
    iG348: ( nat * $o * $o ) > $o ).

tff(pred_def_234,type,
    iG373: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_235,type,
    iG375: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_236,type,
    iG379: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_237,type,
    iG381: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_238,type,
    iG385: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_239,type,
    iG387: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_240,type,
    iG420: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_241,type,
    iG422: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_242,type,
    iG424: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_243,type,
    iG425: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_244,type,
    iG426: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_245,type,
    iG427: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_246,type,
    iG428: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_247,type,
    iG429: ( nat * $o ) > $o ).

tff(pred_def_248,type,
    iG430: ( nat * $o * $o ) > $o ).

tff(pred_def_249,type,
    iG451: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_250,type,
    iG452: ( nat * $o ) > $o ).

tff(pred_def_251,type,
    iG453: ( nat * $o * $o ) > $o ).

tff(pred_def_252,type,
    iG459: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_253,type,
    iG460: ( nat * $o ) > $o ).

tff(pred_def_254,type,
    iG461: ( nat * $o * $o ) > $o ).

tff(pred_def_255,type,
    iG478: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_256,type,
    iG479: ( nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_257,type,
    iG480: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_258,type,
    iG481: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_259,type,
    iG482: ( nat * nat * nat * nat * list_VEBT_VEBT ) > $o ).

tff(pred_def_260,type,
    iG483: ( nat * $o ) > $o ).

tff(pred_def_261,type,
    iG484: ( nat * $o * $o ) > $o ).

tff(pred_def_262,type,
    iG493: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_263,type,
    iG499: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_264,type,
    iG501: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_265,type,
    iG507: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_266,type,
    iG509: ( list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_267,type,
    iG516: ( int * int * int ) > $o ).

tff(pred_def_268,type,
    iG517: ( int * int * int ) > $o ).

tff(pred_def_269,type,
    iG545: ( nat * nat * list_o * $o ) > $o ).

tff(pred_def_270,type,
    iG768: ( num * real * real ) > $o ).

tff(pred_def_271,type,
    iG769: ( num * complex * complex ) > $o ).

tff(pred_def_272,type,
    iG770: ( num * rat * rat ) > $o ).

tff(pred_def_273,type,
    iG771: ( num * real * real ) > $o ).

tff(pred_def_274,type,
    iG772: ( num * complex * complex ) > $o ).

tff(pred_def_275,type,
    iG773: ( num * rat * rat ) > $o ).

tff(pred_def_276,type,
    iG783: ( real * real * real ) > $o ).

tff(pred_def_277,type,
    iG784: ( complex * complex * complex ) > $o ).

tff(pred_def_278,type,
    iG785: ( rat * rat * rat ) > $o ).

tff(pred_def_279,type,
    iG786: ( real * real * real ) > $o ).

tff(pred_def_280,type,
    iG787: ( complex * complex * complex ) > $o ).

tff(pred_def_281,type,
    iG788: ( rat * rat * rat ) > $o ).

tff(pred_def_282,type,
    iG791: ( real * real * real ) > $o ).

tff(pred_def_283,type,
    iG792: ( real * real * real ) > $o ).

tff(pred_def_284,type,
    iG793: ( rat * rat * rat ) > $o ).

tff(pred_def_285,type,
    iG794: ( rat * rat * rat ) > $o ).

tff(pred_def_286,type,
    iG795: ( real * real * real ) > $o ).

tff(pred_def_287,type,
    iG796: ( real * real * real ) > $o ).

tff(pred_def_288,type,
    iG797: ( rat * rat * rat ) > $o ).

tff(pred_def_289,type,
    iG798: ( rat * rat * rat ) > $o ).

tff(pred_def_290,type,
    iG799: ( real * num * real ) > $o ).

tff(pred_def_291,type,
    iG800: ( complex * num * complex ) > $o ).

tff(pred_def_292,type,
    iG801: ( rat * num * rat ) > $o ).

tff(pred_def_293,type,
    iG802: ( real * num * real ) > $o ).

tff(pred_def_294,type,
    iG803: ( complex * num * complex ) > $o ).

tff(pred_def_295,type,
    iG804: ( rat * num * rat ) > $o ).

tff(pred_def_296,type,
    iG814: ( real * real * real ) > $o ).

tff(pred_def_297,type,
    iG815: ( real * real * real ) > $o ).

tff(pred_def_298,type,
    iG816: ( rat * rat * rat ) > $o ).

tff(pred_def_299,type,
    iG817: ( rat * rat * rat ) > $o ).

tff(pred_def_300,type,
    iG818: ( real * real * real ) > $o ).

tff(pred_def_301,type,
    iG819: ( real * real * real ) > $o ).

tff(pred_def_302,type,
    iG820: ( rat * rat * rat ) > $o ).

tff(pred_def_303,type,
    iG821: ( rat * rat * rat ) > $o ).

tff(pred_def_304,type,
    iG822: ( real * num * real ) > $o ).

tff(pred_def_305,type,
    iG823: ( real * num * real ) > $o ).

tff(pred_def_306,type,
    iG824: ( rat * num * rat ) > $o ).

tff(pred_def_307,type,
    iG825: ( rat * num * rat ) > $o ).

tff(pred_def_308,type,
    iG826: ( real * num * real ) > $o ).

tff(pred_def_309,type,
    iG827: ( real * num * real ) > $o ).

tff(pred_def_310,type,
    iG828: ( rat * num * rat ) > $o ).

tff(pred_def_311,type,
    iG829: ( rat * num * rat ) > $o ).

tff(pred_def_312,type,
    iG839: ( real * num * real ) > $o ).

tff(pred_def_313,type,
    iG840: ( real * num * real ) > $o ).

tff(pred_def_314,type,
    iG841: ( rat * num * rat ) > $o ).

tff(pred_def_315,type,
    iG842: ( rat * num * rat ) > $o ).

tff(pred_def_316,type,
    iG843: ( real * num * real ) > $o ).

tff(pred_def_317,type,
    iG844: ( real * num * real ) > $o ).

tff(pred_def_318,type,
    iG845: ( rat * num * rat ) > $o ).

tff(pred_def_319,type,
    iG846: ( rat * num * rat ) > $o ).

tff(pred_def_320,type,
    iG957: ( nat * code_integer * code_integer ) > $o ).

tff(pred_def_321,type,
    iG958: ( nat * int * int ) > $o ).

tff(pred_def_322,type,
    iG959: ( nat * nat * nat ) > $o ).

tff(pred_def_323,type,
    iG960: ( nat * code_integer ) > $o ).

tff(pred_def_324,type,
    iG961: ( nat * int ) > $o ).

tff(pred_def_325,type,
    iG962: ( nat * nat ) > $o ).

tff(pred_def_326,type,
    iG1037: ( int * nat ) > $o ).

tff(pred_def_327,type,
    iG1038: ( int * nat ) > $o ).

tff(pred_def_328,type,
    iG1043: ( int * nat ) > $o ).

tff(pred_def_329,type,
    iG1212: ( real * real * real ) > $o ).

tff(pred_def_330,type,
    iG1296: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_331,type,
    sP1301: ( nat * nat * nat ) > $o ).

tff(pred_def_332,type,
    sP1302: ( nat * nat * nat ) > $o ).

tff(pred_def_333,type,
    sP1303: ( nat * nat * nat ) > $o ).

tff(pred_def_334,type,
    sP1304: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_335,type,
    sP1305: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_336,type,
    sP1306: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_337,type,
    sP1307: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_338,type,
    sP1308: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_339,type,
    sP1309: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_340,type,
    sP1310: ( fun_nat_o * fun_nat_o * fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_341,type,
    sP1311: ( fun_nat_o * fun_nat_o ) > $o ).

tff(pred_def_342,type,
    sP1312: ( fun_nat_o * nat * nat ) > $o ).

tff(pred_def_343,type,
    sP1313: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_344,type,
    sP1314: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_345,type,
    sP1315: ( nat * nat * list_VEBT_VEBT * nat * nat ) > $o ).

tff(pred_def_346,type,
    sP1316: ( vEBT_VEBT * list_VEBT_VEBT * nat ) > $o ).

tff(pred_def_347,type,
    sP1317: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_348,type,
    sP1318: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_349,type,
    sP1319: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_350,type,
    sP1320: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_351,type,
    sP1321: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_352,type,
    sP1322: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_353,type,
    sP1323: ( fun_real_o * fun_real_o * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_354,type,
    sP1324: ( fun_real_o * fun_real_o ) > $o ).

tff(pred_def_355,type,
    sP1325: ( fun_real_fun_real_o * real * real ) > $o ).

tff(pred_def_356,type,
    sP1326: ( nat * fun_nat_o * nat ) > $o ).

tff(pred_def_357,type,
    sP1327: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_358,type,
    sP1328: ( real * fun_real_o * fun_real_o ) > $o ).

tff(pred_def_359,type,
    sP1329: ( fun_int_o * int * int ) > $o ).

tff(pred_def_360,type,
    sP1330: ( fun_int_o * int * int ) > $o ).

tff(pred_def_361,type,
    sP1331: fun_int_o > $o ).

tff(pred_def_362,type,
    sP1332: ( option_nat * option_nat * option_nat ) > $o ).

tff(pred_def_363,type,
    sP1333: ( option_nat * option_nat * fun_op5794009454290973322_nat_o ) > $o ).

tff(pred_def_364,type,
    sP1334: ( int * int * int ) > $o ).

tff(pred_def_365,type,
    sP1335: ( int * int * int ) > $o ).

tff(pred_def_366,type,
    sP1336: ( int * int * int ) > $o ).

tff(pred_def_367,type,
    sP1337: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_368,type,
    sP1338: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_369,type,
    sP1339: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_370,type,
    sP1340: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_371,type,
    sP1341: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_372,type,
    sP1342: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_373,type,
    sP1343: ( fun_int_o * fun_int_o * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_374,type,
    sP1344: ( fun_int_o * fun_int_o ) > $o ).

tff(pred_def_375,type,
    sP1345: ( fun_int_o * int ) > $o ).

tff(pred_def_376,type,
    sP1346: ( rat * rat * rat ) > $o ).

tff(pred_def_377,type,
    sP1347: ( rat * rat * rat ) > $o ).

tff(pred_def_378,type,
    sP1348: ( rat * rat * rat ) > $o ).

tff(pred_def_379,type,
    sP1349: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_380,type,
    sP1350: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_381,type,
    sP1351: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_382,type,
    sP1352: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_383,type,
    sP1353: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_384,type,
    sP1354: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_385,type,
    sP1355: ( fun_rat_o * fun_rat_o * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_386,type,
    sP1356: ( fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_387,type,
    sP1357: ( int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_388,type,
    sP1358: ( int * fun_int_o * fun_int_o ) > $o ).

tff(pred_def_389,type,
    sP1359: ( fun_int_o * int * int ) > $o ).

tff(pred_def_390,type,
    sP1360: ( fun_int_o * int * int ) > $o ).

tff(pred_def_391,type,
    sP1361: ( rat * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_392,type,
    sP1362: ( rat * fun_rat_o * fun_rat_o ) > $o ).

tff(pred_def_393,type,
    sP1363: ( num * num * num ) > $o ).

tff(pred_def_394,type,
    sP1364: ( num * num * num ) > $o ).

tff(pred_def_395,type,
    sP1365: ( num * num * num ) > $o ).

tff(pred_def_396,type,
    sP1366: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_397,type,
    sP1367: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_398,type,
    sP1368: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_399,type,
    sP1369: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_400,type,
    sP1370: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_401,type,
    sP1371: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_402,type,
    sP1372: ( fun_num_o * fun_num_o * fun_num_o * fun_num_o ) > $o ).

tff(pred_def_403,type,
    sP1373: ( fun_num_o * fun_num_o ) > $o ).

tff(pred_def_404,type,
    sP1374: ( fun_nat_int * nat * nat ) > $o ).

tff(f1,axiom,
    ! [X0: nat,X1: nat] :
      ( ( vEBT_vebt_succ(summary,X0) = some_nat(X1) )
    <=> aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__C4_Ohyps_C_I3_J) ).

tff(f2,axiom,
    vEBT_vebt_succ(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) = some_nat(sc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062vebt__succ_Asummary_A_Ihigh_Ax_A_Ideg_Adiv_A2_J_J_A_061_ASome_Asc_092_060close_062) ).

tff(f5,axiom,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062deg_Adiv_A2_A_061_An_092_060close_062) ).

tff(f22,axiom,
    m = na,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21__C4_Ohyps_C_I5_J) ).

tff(f3177,axiom,
    ! [X0: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X0) = collect_nat(vEBT_vebt_member(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3176_set__vebt_H__def) ).

tff(f10775,conjecture,
    aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10776,negated_conjecture,
    ~ aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc),
    inference(negated_conjecture,[status(cth)],[f10775]) ).

tff(f13038,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc),
    inference(flattening,[],[f10776]) ).

tff(f17375,plain,
    ! [X0: nat,X1: nat] :
      ( ( ( vEBT_vebt_succ(summary,X0) = some_nat(X1) )
        | ~ aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X0),X1) )
      & ( aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X0),X1)
        | ( vEBT_vebt_succ(summary,X0) != some_nat(X1) ) ) ),
    inference(nnf_transformation,[],[f1]) ).

tff(f20100,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc),
    inference(cnf_transformation,[],[f13038]) ).

tff(f20869,plain,
    ! [X0: vEBT_VEBT] : ( vEBT_VEBT_set_vebt(X0) = collect_nat(vEBT_vebt_member(X0)) ),
    inference(cnf_transformation,[],[f3177]) ).

tff(f20884,plain,
    ! [X0: nat,X1: nat] :
      ( aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(vEBT_VEBT_set_vebt(summary)),X0),X1)
      | ( vEBT_vebt_succ(summary,X0) != some_nat(X1) ) ),
    inference(cnf_transformation,[],[f17375]) ).

tff(f20917,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = na,
    inference(cnf_transformation,[],[f5]) ).

tff(f20920,plain,
    vEBT_vebt_succ(summary,aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))) = some_nat(sc),
    inference(cnf_transformation,[],[f2]) ).

tff(f24713,plain,
    na = m,
    inference(cnf_transformation,[],[f22]) ).

tff(f29223,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(collect_nat(vEBT_vebt_member(summary))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),sc),
    inference(definition_unfolding,[],[f20100,f20869]) ).

tff(f29239,plain,
    ! [X0: nat,X1: nat] :
      ( ( vEBT_vebt_succ(summary,X0) != some_nat(X1) )
      | aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(collect_nat(vEBT_vebt_member(summary))),X0),X1) ),
    inference(definition_unfolding,[],[f20884,f20869]) ).

tff(f29242,plain,
    aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))) = m,
    inference(definition_unfolding,[],[f20917,f24713]) ).

tff(f31777,plain,
    ~ aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(collect_nat(vEBT_vebt_member(summary))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),m)),sc),
    inference(forward_demodulation,[],[f29223,f29242]) ).

tff(f32495,plain,
    ! [X0: nat] :
      ( ( some_nat(sc) != some_nat(X0) )
      | aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(collect_nat(vEBT_vebt_member(summary))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),aa_nat_nat(aa_nat_fun_nat_nat(divide_divide_nat,deg),aa_num_nat(numeral_numeral_nat,aa_num_num(bit0,one))))),X0) ),
    inference(superposition,[],[f29239,f20920]) ).

tff(f32496,plain,
    ! [X0: nat] :
      ( ( some_nat(sc) != some_nat(X0) )
      | aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(collect_nat(vEBT_vebt_member(summary))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),m)),X0) ),
    inference(forward_demodulation,[],[f32495,f29242]) ).

tff(f32498,plain,
    aa_nat_o(aa_nat_fun_nat_o(vEBT_is_succ_in_set(collect_nat(vEBT_vebt_member(summary))),aa_nat_nat(aa_nat_fun_nat_nat(vEBT_VEBT_high,xa),m)),sc),
    inference(equality_resolution,[],[f32496]) ).

tff(f32500,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f32498,f31777]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ITP243_3 : TPTP v9.3.1. Bugfixed v9.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n013.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Sun Sep 27 12:33:37 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 23.15/5.01  % (169462)Detected formulas, will run a generic FOF schedule.
% 23.15/5.01  % (169509)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=1751208004:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 23.15/5.01  % (169513)dis-21_1_sil=8000:lcm=predicate:random_seed=1028067677:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 23.15/5.01  % (169508)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=194076052:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 23.15/5.01  % (169512)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2690232148:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 23.15/5.01  % (169511)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3081619592:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 23.15/5.01  % (169507)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=486119821:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 23.15/5.01  % (169510)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3797243124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 23.15/5.01  % (169513)Instruction limit reached! 
% 23.15/5.01  % (169513)------------------------------
% 23.15/5.01  % (169513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.01  % (169513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.01  % (169513)CaDiCaL version: 2.1.3
% 23.15/5.01  % (169513)Termination reason: Instruction limit
% 23.15/5.01  % (169513)Termination phase: Property scanning
% 23.15/5.01  % (169513)Time elapsed: 0.075 s
% 23.15/5.01  % (169513)Peak memory usage: 98 MB
% 23.15/5.01  % (169513)Instructions burned: 131 (million)
% 23.15/5.01  % (169510)Instruction limit reached! 
% 23.15/5.01  % (169510)------------------------------
% 23.15/5.01  % (169510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.01  % (169510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.01  % (169510)CaDiCaL version: 2.1.3
% 23.15/5.01  % (169510)Termination reason: Instruction limit
% 23.15/5.01  % (169510)Termination phase: Property scanning
% 23.15/5.01  % (169510)Time elapsed: 0.099 s
% 23.15/5.01  % (169510)Peak memory usage: 98 MB
% 23.15/5.01  % (169510)Instructions burned: 109 (million)
% 23.15/5.01  % (169511)Instruction limit reached! 
% 23.15/5.01  % (169511)------------------------------
% 23.15/5.01  % (169511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.01  % (169511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.01  % (169511)CaDiCaL version: 2.1.3
% 23.15/5.01  % (169511)Termination reason: Instruction limit
% 23.15/5.01  % (169511)Termination phase: Property scanning
% 23.15/5.01  % (169511)Time elapsed: 0.107 s
% 23.15/5.01  % (169511)Peak memory usage: 98 MB
% 23.15/5.01  % (169511)Instructions burned: 119 (million)
% 23.15/5.01  % (169512)Instruction limit reached! 
% 23.15/5.01  % (169512)------------------------------
% 23.15/5.01  % (169512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.15/5.01  % (169512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.15/5.01  % (169512)CaDiCaL version: 2.1.3
% 23.15/5.01  % (169512)Termination reason: Instruction limit
% 23.15/5.01  % (169512)Termination phase: Property scanning
% 23.15/5.01  % (169512)Time elapsed: 0.112 s
% 23.15/5.01  % (169512)Peak memory usage: 95 MB
% 23.15/5.01  % (169512)Instructions burned: 140 (million)
% 23.15/5.01  % (169525)lrs+10_1_sil=8000:sp=occurrence:random_seed=1117472518:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 23.15/5.01  % (169528)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=656705748:s2a=on:i=248:s2at=1.23:gtg=position_2987 on theBenchmark for (2987ds/248Mi)
% 23.15/5.01  % (169526)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2165837476:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 23.15/5.01  % (169527)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2015731093:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 23.15/5.01  % (169525)Instruction limit reached! 
% 23.15/5.01  % (169525)------------------------------
% 32.08/6.15  % (169525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169525)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169525)Termination reason: Instruction limit
% 32.08/6.15  % (169525)Termination phase: SInE selection
% 32.08/6.15  % (169525)Time elapsed: 0.247 s
% 32.08/6.15  % (169525)Peak memory usage: 98 MB
% 32.08/6.15  % (169525)Instructions burned: 286 (million)
% 32.08/6.15  % (169526)Instruction limit reached! 
% 32.08/6.15  % (169526)------------------------------
% 32.08/6.15  % (169526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169526)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169526)Termination reason: Instruction limit
% 32.08/6.15  % (169526)Termination phase: Property scanning
% 32.08/6.15  % (169526)Time elapsed: 0.128 s
% 32.08/6.15  % (169526)Peak memory usage: 95 MB
% 32.08/6.15  % (169526)Instructions burned: 158 (million)
% 32.08/6.15  % (169528)Instruction limit reached! 
% 32.08/6.15  % (169528)------------------------------
% 32.08/6.15  % (169528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169528)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169528)Termination reason: Instruction limit
% 32.08/6.15  % (169528)Termination phase: Initialization
% 32.08/6.15  % (169528)Time elapsed: 0.202 s
% 32.08/6.15  % (169528)Peak memory usage: 97 MB
% 32.08/6.15  % (169528)Instructions burned: 248 (million)
% 32.08/6.15  % (169527)Instruction limit reached! 
% 32.08/6.15  % (169527)------------------------------
% 32.08/6.15  % (169527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169527)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169527)Termination reason: Instruction limit
% 32.08/6.15  % (169527)Termination phase: SInE selection
% 32.08/6.15  % (169527)Time elapsed: 0.284 s
% 32.08/6.15  % (169527)Peak memory usage: 98 MB
% 32.08/6.15  % (169527)Instructions burned: 326 (million)
% 32.08/6.15  % (169535)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=681230834:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 32.08/6.15  % (169536)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2686090742:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 32.08/6.15  % (169538)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=393048880:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 32.08/6.15  % (169538)Instruction limit reached! 
% 32.08/6.15  % (169538)------------------------------
% 32.08/6.15  % (169538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169538)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169538)Termination reason: Instruction limit
% 32.08/6.15  % (169538)Termination phase: Property scanning
% 32.08/6.15  % (169538)Time elapsed: 0.108 s
% 32.08/6.15  % (169538)Peak memory usage: 98 MB
% 32.08/6.15  % (169538)Instructions burned: 114 (million)
% 32.08/6.15  % (169540)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1508997237:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 32.08/6.15  % (169535)Instruction limit reached! 
% 32.08/6.15  % (169535)------------------------------
% 32.08/6.15  % (169535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169535)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169535)Termination reason: Instruction limit
% 32.08/6.15  % (169535)Termination phase: SInE selection
% 32.08/6.15  % (169535)Time elapsed: 0.251 s
% 32.08/6.15  % (169535)Peak memory usage: 98 MB
% 32.08/6.15  % (169535)Instructions burned: 294 (million)
% 32.08/6.15  % (169540)Instruction limit reached! 
% 32.08/6.15  % (169540)------------------------------
% 32.08/6.15  % (169540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.08/6.15  % (169540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.08/6.15  % (169540)CaDiCaL version: 2.1.3
% 32.08/6.15  % (169540)Termination reason: Instruction limit
% 32.08/6.15  % (169540)Termination phase: Property scanning
% 32.08/6.15  % (169540)Time elapsed: 0.123 s
% 36.61/9.50  % (169540)Peak memory usage: 98 MB
% 36.61/9.50  % (169540)Instructions burned: 127 (million)
% 36.61/9.50  % (169546)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2686447931:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 36.61/9.50  % (169548)lrs+10_1_sil=8000:sp=occurrence:random_seed=4249358774:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2980 on theBenchmark for (2980ds/907Mi)
% 36.61/9.50  % (169546)Instruction limit reached! 
% 36.61/9.50  % (169546)------------------------------
% 36.61/9.50  % (169546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169546)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169546)Termination reason: Instruction limit
% 36.61/9.50  % (169546)Termination phase: Property scanning
% 36.61/9.50  % (169546)Time elapsed: 0.093 s
% 36.61/9.50  % (169546)Peak memory usage: 95 MB
% 36.61/9.50  % (169546)Instructions burned: 115 (million)
% 36.61/9.50  % (169549)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2278300209:i=437:sd=1:aac=none:ss=included_2979 on theBenchmark for (2979ds/437Mi)
% 36.61/9.50  % (169552)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1620694018:i=5202:ss=axioms:sgt=16_2977 on theBenchmark for (2977ds/5202Mi)
% 36.61/9.50  % (169549)Instruction limit reached! 
% 36.61/9.50  % (169549)------------------------------
% 36.61/9.50  % (169549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169549)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169549)Termination reason: Instruction limit
% 36.61/9.50  % (169549)Termination phase: Naming
% 36.61/9.50  % (169549)Time elapsed: 0.406 s
% 36.61/9.50  % (169549)Peak memory usage: 103 MB
% 36.61/9.50  % (169549)Instructions burned: 437 (million)
% 36.61/9.50  % (169561)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1250982631:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2972 on theBenchmark for (2972ds/134Mi)
% 36.61/9.50  % (169548)Instruction limit reached! 
% 36.61/9.50  % (169548)------------------------------
% 36.61/9.50  % (169548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169548)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169548)Termination reason: Instruction limit
% 36.61/9.50  % (169548)Termination phase: Saturation
% 36.61/9.50  % (169548)Time elapsed: 0.798 s
% 36.61/9.50  % (169548)Peak memory usage: 108 MB
% 36.61/9.50  % (169548)Instructions burned: 907 (million)
% 36.61/9.50  % (169561)Instruction limit reached! 
% 36.61/9.50  % (169561)------------------------------
% 36.61/9.50  % (169561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169561)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169561)Termination reason: Instruction limit
% 36.61/9.50  % (169561)Termination phase: Preprocessing 2
% 36.61/9.50  % (169561)Time elapsed: 0.143 s
% 36.61/9.50  % (169561)Peak memory usage: 97 MB
% 36.61/9.50  % (169561)Instructions burned: 134 (million)
% 36.61/9.50  % (169565)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1908621216:st=8:i=592:sd=3:ep=RST:ss=axioms_2969 on theBenchmark for (2969ds/592Mi)
% 36.61/9.50  % (169566)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3960776520:st=3:i=13193:sd=3:ss=axioms_2969 on theBenchmark for (2969ds/13193Mi)
% 36.61/9.50  % (169565)Instruction limit reached! 
% 36.61/9.50  % (169565)------------------------------
% 36.61/9.50  % (169565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169565)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169565)Termination reason: Instruction limit
% 36.61/9.50  % (169565)Termination phase: Property scanning
% 36.61/9.50  % (169565)Time elapsed: 0.568 s
% 36.61/9.50  % (169565)Peak memory usage: 106 MB
% 36.61/9.50  % (169565)Instructions burned: 592 (million)
% 36.61/9.50  % (169571)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=3627051344:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/125Mi)
% 36.61/9.50  % (169571)Instruction limit reached! 
% 36.61/9.50  % (169571)------------------------------
% 36.61/9.50  % (169571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169571)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169571)Termination reason: Instruction limit
% 36.61/9.50  % (169571)Termination phase: Property scanning
% 36.61/9.50  % (169571)Time elapsed: 0.103 s
% 36.61/9.50  % (169571)Peak memory usage: 95 MB
% 36.61/9.50  % (169571)Instructions burned: 125 (million)
% 36.61/9.50  % (169536)Instruction limit reached! 
% 36.61/9.50  % (169536)------------------------------
% 36.61/9.50  % (169536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169536)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169536)Termination reason: Instruction limit
% 36.61/9.50  % (169536)Termination phase: Saturation
% 36.61/9.50  % (169536)Time elapsed: 2.377 s
% 36.61/9.50  % (169536)Peak memory usage: 199 MB
% 36.61/9.50  % (169536)Instructions burned: 2350 (million)
% 36.61/9.50  % (169574)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3271495760:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2958 on theBenchmark for (2958ds/141Mi)
% 36.61/9.50  % (169573)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=85560276:i=134:gtgl=5:slsql=off:gtg=exists_sym_2958 on theBenchmark for (2958ds/134Mi)
% 36.61/9.50  % (169574)Refutation not found, incomplete strategy
% 36.61/9.50  % (169574)------------------------------
% 36.61/9.50  % (169574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169574)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169574)Termination reason: Refutation not found, incomplete strategy
% 36.61/9.50  % (169574)Time elapsed: 0.090 s
% 36.61/9.50  % (169574)Peak memory usage: 99 MB
% 36.61/9.50  % (169574)Instructions burned: 90 (million)
% 36.61/9.50  % (169573)Instruction limit reached! 
% 36.61/9.50  % (169573)------------------------------
% 36.61/9.50  % (169573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169573)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169573)Termination reason: Instruction limit
% 36.61/9.50  % (169573)Termination phase: Property scanning
% 36.61/9.50  % (169573)Time elapsed: 0.110 s
% 36.61/9.50  % (169573)Peak memory usage: 95 MB
% 36.61/9.50  % (169573)Instructions burned: 135 (million)
% 36.61/9.50  % (169578)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2198234262:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/431Mi)
% 36.61/9.50  % (169574)------------------------------
% 36.61/9.50  % (169574)------------------------------
% 36.61/9.50  % (169578)Instruction limit reached! 
% 36.61/9.50  % (169578)------------------------------
% 36.61/9.50  % (169578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169578)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169578)Termination reason: Instruction limit
% 36.61/9.50  % (169578)Termination phase: Saturation
% 36.61/9.50  % (169578)Time elapsed: 0.219 s
% 36.61/9.50  % (169578)Peak memory usage: 102 MB
% 36.61/9.50  % (169578)Instructions burned: 433 (million)
% 36.61/9.50  % (169583)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=1428714917:i=6060:aac=none:ins=25_2951 on theBenchmark for (2951ds/6060Mi)
% 36.61/9.50  % (169584)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=93764546:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2951 on theBenchmark for (2951ds/150Mi)
% 36.61/9.50  % (169584)Instruction limit reached! 
% 36.61/9.50  % (169584)------------------------------
% 36.61/9.50  % (169584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169584)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169584)Termination reason: Instruction limit
% 36.61/9.50  % (169584)Termination phase: Property scanning
% 36.61/9.50  % (169584)Time elapsed: 0.140 s
% 36.61/9.50  % (169584)Peak memory usage: 98 MB
% 36.61/9.50  % (169584)Instructions burned: 150 (million)
% 36.61/9.50  % (169589)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3685079780:i=14155:bd=all_2947 on theBenchmark for (2947ds/14155Mi)
% 36.61/9.50  % (169552)Instruction limit reached! 
% 36.61/9.50  % (169552)------------------------------
% 36.61/9.50  % (169552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169552)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169552)Termination reason: Instruction limit
% 36.61/9.50  % (169552)Termination phase: Saturation
% 36.61/9.50  % (169552)Time elapsed: 5.046 s
% 36.61/9.50  % (169552)Peak memory usage: 215 MB
% 36.61/9.50  % (169552)Instructions burned: 5203 (million)
% 36.61/9.50  % (169601)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2588847141:i=667:av=off:fsr=off_2925 on theBenchmark for (2925ds/667Mi)
% 36.61/9.50  % (169566)First to succeed.
% 36.61/9.50  % (169566)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-169462"
% 36.61/9.50  % (169601)Instruction limit reached! 
% 36.61/9.50  % (169601)------------------------------
% 36.61/9.50  % (169601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.61/9.50  % (169601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.61/9.50  % (169601)CaDiCaL version: 2.1.3
% 36.61/9.50  % (169601)Termination reason: Instruction limit
% 36.61/9.50  % (169601)Termination phase: Property scanning
% 36.61/9.50  % (169601)Time elapsed: 0.539 s
% 36.61/9.50  % (169601)Peak memory usage: 115 MB
% 36.61/9.50  % (169601)Instructions burned: 667 (million)
% 36.61/9.50  % (169603)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=67843623:s2a=on:i=185:s2at=1.8:fdi=4_2918 on theBenchmark for (2918ds/185Mi)
% 36.61/9.50  % (169566)Refutation found. Thanks to Tanya!
% 36.61/9.50  % SZS status Theorem for theBenchmark
% 36.61/9.50  % SZS output start Proof for theBenchmark
% See solution above
% 55.70/9.75  % (169566)------------------------------
% 55.70/9.75  % (169566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.70/9.75  % (169566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.70/9.75  % (169566)CaDiCaL version: 2.1.3
% 55.70/9.75  % (169566)Termination reason: Refutation
% 55.70/9.75  % (169566)Time elapsed: 4.706 s
% 55.70/9.75  % (169566)Peak memory usage: 238 MB
% 55.70/9.75  % (169566)Instructions burned: 4906 (million)
% 55.70/9.75  % (169566)------------------------------
% 55.70/9.75  % (169566)------------------------------
% 55.70/9.75  % (169462)Success in time 8.615 s
% 55.70/9.75  % Vampire exiting
%------------------------------------------------------------------------------